0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s 0.09/0.30 % Computer : n003.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % DateTime : Thu Jul 2 14:33:27 EDT 2020 0.09/0.30 % CPUTime : 1.33/1.61 ============================== Prover9 =============================== 1.33/1.61 Prover9 (32) version 2009-11A, November 2009. 1.33/1.61 Process 14333 was started by sandbox2 on n003.cluster.edu, 1.33/1.61 Thu Jul 2 14:33:28 2020 1.33/1.61 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_14175_n003.cluster.edu". 1.33/1.61 ============================== end of head =========================== 1.33/1.61 1.33/1.61 ============================== INPUT ================================= 1.33/1.61 1.33/1.61 % Reading from file /tmp/Prover9_14175_n003.cluster.edu 1.33/1.61 1.33/1.61 set(prolog_style_variables). 1.33/1.61 set(auto2). 1.33/1.61 % set(auto2) -> set(auto). 1.33/1.61 % set(auto) -> set(auto_inference). 1.33/1.61 % set(auto) -> set(auto_setup). 1.33/1.61 % set(auto_setup) -> set(predicate_elim). 1.33/1.61 % set(auto_setup) -> assign(eq_defs, unfold). 1.33/1.61 % set(auto) -> set(auto_limits). 1.33/1.61 % set(auto_limits) -> assign(max_weight, "100.000"). 1.33/1.61 % set(auto_limits) -> assign(sos_limit, 20000). 1.33/1.61 % set(auto) -> set(auto_denials). 1.33/1.61 % set(auto) -> set(auto_process). 1.33/1.61 % set(auto2) -> assign(new_constants, 1). 1.33/1.61 % set(auto2) -> assign(fold_denial_max, 3). 1.33/1.61 % set(auto2) -> assign(max_weight, "200.000"). 1.33/1.61 % set(auto2) -> assign(max_hours, 1). 1.33/1.61 % assign(max_hours, 1) -> assign(max_seconds, 3600). 1.33/1.61 % set(auto2) -> assign(max_seconds, 0). 1.33/1.61 % set(auto2) -> assign(max_minutes, 5). 1.33/1.61 % assign(max_minutes, 5) -> assign(max_seconds, 300). 1.33/1.61 % set(auto2) -> set(sort_initial_sos). 1.33/1.61 % set(auto2) -> assign(sos_limit, -1). 1.33/1.61 % set(auto2) -> assign(lrs_ticks, 3000). 1.33/1.61 % set(auto2) -> assign(max_megs, 400). 1.33/1.61 % set(auto2) -> assign(stats, some). 1.33/1.61 % set(auto2) -> clear(echo_input). 1.33/1.61 % set(auto2) -> set(quiet). 1.33/1.61 % set(auto2) -> clear(print_initial_clauses). 1.33/1.61 % set(auto2) -> clear(print_given). 1.33/1.61 assign(lrs_ticks,-1). 1.33/1.61 assign(sos_limit,10000). 1.33/1.61 assign(order,kbo). 1.33/1.61 set(lex_order_vars). 1.33/1.61 clear(print_given). 1.33/1.61 1.33/1.61 % formulas(sos). % not echoed (586 formulas) 1.33/1.61 1.33/1.61 ============================== end of input ========================== 1.33/1.61 1.33/1.61 % From the command line: assign(max_seconds, 960). 1.33/1.61 1.33/1.61 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 1.33/1.61 1.33/1.61 % Formulas that are not ordinary clauses: 1.33/1.61 1 (all A (join_commutative(A) & join_semilatt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (below(A,C,B) & below(A,B,C) -> B = C))))))) # label(t26_lattices) # label(lemma) # label(non_clause). [assumption]. 1.33/1.61 2 (all A all B (v3_membered(A) -> v2_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc32_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.61 3 (all A (one_sorted_str(A) -> the_carrier(A) = cast_as_carrier_subset(A))) # label(t12_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.61 4 (all A (one_sorted_str(A) -> empty_set = empty_carrier_subset(A))) # label(d2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.61 5 (all A (relation(A) -> relation_field(A) = set_union2(relation_dom(A),relation_rng(A)))) # label(d6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.61 6 (all A all B (B = A <-> subset(A,B) & subset(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.61 7 (all A all B all 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))) # label(t23_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.61 8 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.61 9 (all A (relation(A) -> ((all B (in(B,relation_field(A)) -> in(ordered_pair(B,B),A))) <-> reflexive(A)))) # label(l1_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.61 10 (all A all B (relation(A) & function(A) -> relation(relation_dom_restriction(A,B)) & function(relation_dom_restriction(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.61 11 (all A all B (empty_set = A | A = singleton(B) <-> subset(A,singleton(B)))) # label(l4_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.61 12 (all A all B (-empty(A) & relation(B) -> (all C exists D all E ((exists F exists G (ordered_pair(F,G) = E & in(F,A) & (exists H (F = H & (all I (in(I,H) -> in(ordered_pair(G,I),B))) & in(G,H))))) & in(E,cartesian_product2(A,C)) <-> in(E,D))))) # label(s1_xboole_0__e10_24__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 13 (all A (v1_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 14 (all A (A = relation_rng(identity_relation(A)) & A = relation_dom(identity_relation(A)))) # label(t71_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 15 (exists A rel_str(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 16 (all A all B -(in(A,B) & (all C -((all D -(in(D,C) & in(D,B))) & in(C,B))))) # label(t7_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 17 (all A all B (relation(B) -> subset(relation_rng_restriction(A,B),B))) # label(t117_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 18 (all A all B (topological_space(A) & element(B,powerset(the_carrier(A))) & top_str(A) -> (exists C ((all D (element(D,powerset(the_carrier(A))) -> (in(D,C) <-> (exists E (closed_subset(E,A) & subset(B,D) & D = E & element(E,powerset(the_carrier(A)))))))) & element(C,powerset(powerset(the_carrier(A)))))))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 19 (all A all B (subset(A,B) -> A = set_intersection2(A,B))) # label(t28_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 20 (all A (ordinal(A) -> well_founded_relation(inclusion_relation(A)))) # label(t6_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 21 (all A (one_sorted_str(A) -> element(cast_as_carrier_subset(A),powerset(the_carrier(A))))) # label(dt_k2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 22 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> (all C ((all D all E all F ((exists G exists H (E = ordered_pair(G,H) & (all I (element(I,powerset(the_carrier(A))) -> (G = I -> H = subset_complement(the_carrier(A),I)))) & in(G,B))) & (exists J exists K ((all L (element(L,powerset(the_carrier(A))) -> (J = L -> subset_complement(the_carrier(A),L) = K))) & in(J,B) & ordered_pair(J,K) = F)) & D = F & D = E -> E = F)) -> (exists D all E ((exists F (in(F,cartesian_product2(B,C)) & F = E & (exists M exists N ((all O (element(O,powerset(the_carrier(A))) -> (M = O -> N = subset_complement(the_carrier(A),O)))) & in(M,B) & ordered_pair(M,N) = E)))) <-> in(E,D))))))) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 23 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 24 (all A (one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B))))) # label(t17_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 25 (all A all B (finite(A) -> finite(set_difference(A,B)))) # label(fc12_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 26 (all A (-empty_carrier(A) & one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> -(is_a_cover_of_carrier(A,B) & B = empty_set))))) # label(t5_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 27 (all A (one_sorted_str(A) -> element(empty_carrier_subset(A),powerset(the_carrier(A))))) # label(dt_k1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 28 (all A all B (relation(B) -> relation_rng(relation_rng_restriction(A,B)) = set_intersection2(relation_rng(B),A))) # label(t119_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 29 (all A (ordinal(A) -> -((exists B (A = succ(B) & ordinal(B))) & being_limit_ordinal(A)) & -((all B (ordinal(B) -> succ(B) != A)) & -being_limit_ordinal(A)))) # label(t42_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 30 (all A all B (-(-disjoint(A,B) & (all C -in(C,set_intersection2(A,B)))) & -(disjoint(A,B) & (exists C in(C,set_intersection2(A,B)))))) # label(t4_xboole_0) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 31 (all A all B (element(B,powerset(powerset(A))) -> (empty_set != B -> union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B))))) # label(t48_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 32 (all A all B (element(B,powerset(A)) -> (all C (in(C,B) -> in(C,A))))) # label(l3_subset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 33 (all A all B -empty(unordered_pair(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 34 (all A (epsilon_connected(A) & epsilon_transitive(A) <-> ordinal(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 35 (all A cast_to_subset(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 36 (all A all B set_union2(A,B) = set_union2(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 37 (exists A (relation(A) & empty(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 38 (all A (subset(A,empty_set) -> empty_set = A)) # label(t3_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 39 (all A all B (function(A) & finite(B) & relation(A) -> finite(relation_image(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 40 (all A all B (relation(B) -> ((all C all D (in(C,A) & D = C <-> in(ordered_pair(C,D),B))) <-> B = identity_relation(A)))) # label(d10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 41 (all A (relation(A) -> (all B (relation(B) -> ((all C all D (in(ordered_pair(D,C),A) <-> in(ordered_pair(C,D),B))) <-> relation_inverse(A) = B))))) # label(d7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 42 (all A ((all B all C all D (B = C & ordinal(C) & ordinal(D) & D = B -> C = D)) -> (exists B all C ((exists D (ordinal(C) & D = C & in(D,A))) <-> in(C,B))))) # label(s1_tarski__e6_22__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 43 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 44 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> set_difference(B,C) = subset_difference(A,B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 45 (all A (relation(A) & function(A) -> relation(function_inverse(A)) & function(function_inverse(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 46 (all A all B all C (subset(A,B) -> subset(set_difference(A,C),set_difference(B,C)))) # label(t33_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 47 (exists A (epsilon_connected(A) & ordinal(A) & epsilon_transitive(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 48 (exists A (relation(A) & function(A) & empty(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 49 (all A (being_limit_ordinal(A) <-> union(A) = A)) # label(d6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 50 (all A all B (subset(A,B) -> B = set_union2(A,B))) # label(t12_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 51 (all A (epsilon_transitive(A) & epsilon_connected(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 52 (exists A (relation(A) & function(A) & relation_empty_yielding(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 53 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_isomorphism(A,B,C) -> relation_isomorphism(B,A,function_inverse(C))))))))) # label(t49_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 54 (all A (-empty_carrier(A) & one_sorted_str(A) -> (exists B (-empty(B) & element(B,powerset(the_carrier(A))))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 55 (all A all B all C (relation(C) -> (in(A,relation_dom(relation_dom_restriction(C,B))) <-> in(A,relation_dom(C)) & in(A,B)))) # label(t86_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 56 (all A all B (are_equipotent(A,B) <-> equipotent(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 57 (all A (relation(A) -> subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))) # label(t21_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 58 (all A (relation(A) -> (all B (relation(B) -> (subset(relation_rng(A),relation_dom(B)) -> relation_dom(relation_composition(A,B)) = relation_dom(A)))))) # label(t46_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 59 (all A all B equipotent(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 60 (all A all B all C (join_commutative(A) & join_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & -empty_carrier(A) -> join_commut(A,B,C) = join(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 61 (all A all 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))))))))) # label(d8_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 62 (all A (meet_absorbing(A) & latt_str(A) & meet_commutative(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> below(A,meet_commut(A,B,C),B))))))) # label(t23_lattices) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 63 (all A all B (relation(B) -> (well_orders(B,A) -> well_ordering(relation_restriction(B,A)) & relation_field(relation_restriction(B,A)) = A))) # label(t25_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 64 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 65 (all A (relation(A) -> (well_founded_relation(A) <-> is_well_founded_in(A,relation_field(A))))) # label(t5_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 66 (all A (one_sorted_str(A) & -empty_carrier(A) -> -empty(the_carrier(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 67 (all A (relation(A) -> (all B (relation(B) -> ((all C all D (in(ordered_pair(C,D),A) -> in(ordered_pair(C,D),B))) <-> subset(A,B)))))) # label(d3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 68 (all A ((all B (in(B,A) -> ordinal(B) & subset(B,A))) -> ordinal(A))) # label(t31_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 69 (all A ((exists B (function(B) & in(relation_dom(B),omega) & relation_rng(B) = A & relation(B))) <-> finite(A))) # label(d1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 70 (exists A meet_semilatt_str(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 71 (all A (relation(A) -> (all B all C ((all D (B != D & in(ordered_pair(D,B),A) <-> in(D,C))) <-> C = fiber(A,B))))) # label(d1_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 72 (all A (relation(A) -> (reflexive(A) <-> is_reflexive_in(A,relation_field(A))))) # label(d9_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 73 (all A exists B (empty(B) & element(B,powerset(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 74 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) & closed_subset(B,A) & topological_space(A) -> open_subset(subset_complement(the_carrier(A),B),A))) # label(fc3_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 75 (all A all B all C (element(C,powerset(A)) -> -(in(B,subset_complement(A,C)) & in(B,C)))) # label(t54_subset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 76 (all A exists B (relation(B) & function(B) & (all C (in(C,A) -> singleton(C) = apply(B,C))) & relation_dom(B) = A)) # label(s3_funct_1__e16_22__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 77 (all A all B (ordinal(A) & ordinal(B) -> ordinal_subset(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 78 (all A all B subset(set_intersection2(A,B),A)) # label(t17_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 79 (all A all B (element(B,powerset(powerset(A))) -> union_of_subsets(A,B) = union(B))) # label(redefinition_k5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 80 (all A (relation(A) & function(A) -> (one_to_one(A) -> function_inverse(A) = relation_inverse(A)))) # label(d9_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 81 (all A all B (relation(B) & relation(A) -> relation(set_union2(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 82 (all A (relation(A) -> (relation_dom(A) = empty_set <-> relation_rng(A) = empty_set))) # label(t65_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 83 (all A (relation(A) & function(A) -> (one_to_one(A) -> one_to_one(function_inverse(A))))) # label(t62_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 84 (all A all B (relation(B) -> relation_image(B,set_intersection2(relation_dom(B),A)) = relation_image(B,A))) # label(t145_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 85 (all A (ordinal(A) -> epsilon_connected(succ(A)) & ordinal(succ(A)) & epsilon_transitive(succ(A)) & -empty(succ(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 86 (exists A (function(A) & relation(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 87 (all A ((all B all C all D (D = singleton(B) & in(B,A) & C = singleton(B) & in(B,A) -> D = C)) -> (exists B ((all C all D (in(ordered_pair(C,D),B) <-> D = singleton(C) & in(C,A) & in(C,A))) & function(B) & relation(B))))) # label(s1_funct_1__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 88 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> ((all C (element(C,powerset(the_carrier(A))) -> (in(C,B) -> closed_subset(C,A)))) <-> closed_subsets(B,A)))))) # label(d2_tops_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 89 (all A (-empty(A) & relation(A) -> -empty(relation_dom(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 90 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 91 (all A all B subset(A,set_union2(A,B))) # label(t7_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 92 (all A (join_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 93 (all A all B all C all D (function(D) & relation_of2_as_subset(D,A,B) & quasi_total(D,A,B) -> (in(C,A) -> in(apply(D,C),relation_rng(D)) | B = empty_set))) # label(t6_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 94 (all A succ(A) = set_union2(A,singleton(A))) # label(d1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 95 (all A all B (in(A,B) -> B = set_union2(singleton(A),B))) # label(t46_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 96 (exists A (-empty(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A))) # label(rc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 97 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E (in(C,B) & in(C,B) & (all G (element(G,powerset(the_carrier(A))) -> (G = C -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (C = F -> D = subset_complement(the_carrier(A),F)))) -> D = E)) -> (exists C (relation(C) & function(C) & (all D all E (in(D,B) & in(D,B) & (all H (element(H,powerset(the_carrier(A))) -> (H = D -> subset_complement(the_carrier(A),H) = E))) <-> in(ordered_pair(D,E),C)))))))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 98 (all A all B (ordinal(B) & ordinal(A) -> (subset(A,B) <-> ordinal_subset(A,B)))) # label(redefinition_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 99 (all A (top_str(A) & topological_space(A) -> (exists B (element(B,powerset(the_carrier(A))) & open_subset(B,A) & closed_subset(B,A))))) # label(rc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 100 (all A (epsilon_transitive(A) -> (all B (ordinal(B) -> (proper_subset(A,B) -> in(A,B)))))) # label(t21_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 101 (all A (relation(A) -> (antisymmetric(A) <-> (all B all C (in(ordered_pair(B,C),A) & in(ordered_pair(C,B),A) -> B = C))))) # label(l3_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 102 (all A all B all C (relation(C) -> (in(A,relation_inverse_image(C,B)) <-> (exists D (in(ordered_pair(A,D),C) & in(D,B) & in(D,relation_rng(C))))))) # label(t166_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 103 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (open_subsets(complements_of_subsets(the_carrier(A),B),A) <-> closed_subsets(B,A)))))) # label(t16_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 104 (all A all B (singleton(A) = B <-> (all C (in(C,B) <-> A = C)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 105 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 106 (exists A join_semilatt_str(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 107 (all A all B all C all D all E all F (-empty(B) & function(D) & quasi_total(D,cartesian_product2(A,B),C) & relation_of2(D,cartesian_product2(A,B),C) & element(E,A) & element(F,B) & -empty(A) -> element(apply_binary_as_element(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 108 (all A all B (finite(A) -> finite(set_intersection2(A,B)))) # label(fc11_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 109 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 110 (all A all B (in(A,B) -> subset(A,union(B)))) # label(t92_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 111 (all A (top_str(A) & topological_space(A) -> (all B (element(B,powerset(the_carrier(A))) -> (exists C (element(C,powerset(powerset(the_carrier(A)))) & topstr_closure(A,B) = meet_of_subsets(the_carrier(A),C) & (all D (element(D,powerset(the_carrier(A))) -> (closed_subset(D,A) & subset(B,D) <-> in(D,C)))))))))) # label(t46_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 112 (all A all B all C (meet_commutative(A) & meet_semilatt_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & -empty_carrier(A) -> meet_commut(A,B,C) = meet_commut(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 113 (all A all B (relation(B) -> (well_founded_relation(B) -> well_founded_relation(relation_restriction(B,A))))) # label(t31_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 114 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & top_str(A) & topological_space(A) -> ((all C all D all E (E = C & in(set_difference(cast_as_carrier_subset(A),E),B) & in(set_difference(cast_as_carrier_subset(A),D),B) & D = C -> D = E)) -> (exists C all D (in(D,C) <-> (exists E (in(E,powerset(the_carrier(A))) & E = D & in(set_difference(cast_as_carrier_subset(A),D),B)))))))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 115 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> subset_intersection2(A,B,C) = subset_intersection2(A,C,B))) # label(commutativity_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 116 (all A all B all C all D -(A != D & C != A & unordered_pair(C,D) = unordered_pair(A,B))) # label(t10_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 117 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 118 (all A all B (relation(B) & function(B) -> (all C (function(C) & relation(C) -> (in(A,relation_dom(B)) -> apply(C,apply(B,A)) = apply(relation_composition(B,C),A)))))) # label(t23_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 119 (all A (relation(A) -> (is_antisymmetric_in(A,relation_field(A)) <-> antisymmetric(A)))) # label(d12_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 120 (all A all B set_intersection2(A,B) = set_difference(A,set_difference(A,B))) # label(t48_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 121 (all A all B (relation(B) -> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)))) # label(t99_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 122 (all A unordered_pair(A,A) = singleton(A)) # label(t69_enumset1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 123 (all A all B all C (relation(C) -> (in(A,C) & in(A,cartesian_product2(B,B)) <-> in(A,relation_restriction(C,B))))) # label(t16_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 124 (all A (preboolean(A) -> cup_closed(A) & diff_closed(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 125 (all A (epsilon_transitive(A) <-> (all B (in(B,A) -> subset(B,A))))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 126 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) & topological_space(A) -> (exists C all D (in(D,C) <-> in(D,powerset(the_carrier(A))) & (exists E (element(E,powerset(the_carrier(A))) & D = E & closed_subset(E,A) & subset(B,D))))))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 127 (all A all B all C (relation(C) -> (subset(A,B) -> subset(relation_inverse_image(C,A),relation_inverse_image(C,B))))) # label(t178_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 128 (all A all B -(empty(B) & A != B & empty(A))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 129 (all A all B all C all D (subset(C,D) & subset(A,B) -> subset(cartesian_product2(A,C),cartesian_product2(B,D)))) # label(t119_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 130 (all A all B all C (relation_of2_as_subset(C,A,B) -> subset(relation_dom(C),A) & subset(relation_rng(C),B))) # label(t12_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 131 (all A (relation(A) -> (connected(A) <-> (all B all C -(-in(ordered_pair(B,C),A) & -in(ordered_pair(C,B),A) & B != C & in(C,relation_field(A)) & in(B,relation_field(A))))))) # label(l4_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 132 (all A all B (-empty(A) -> -empty(set_union2(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 133 (all A (relation(A) -> (all B (is_well_founded_in(A,B) <-> (all C -(empty_set != C & (all D -(in(D,C) & disjoint(fiber(A,D),C))) & subset(C,B))))))) # label(d3_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 134 (all A (-empty_carrier(A) & topological_space(A) & top_str(A) -> ((all B (element(B,powerset(powerset(the_carrier(A)))) -> -(closed_subsets(B,A) & empty_set = meet_of_subsets(the_carrier(A),B) & centered(B)))) <-> compact_top_space(A)))) # label(t13_compts_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 135 (exists A (epsilon_transitive(A) & being_limit_ordinal(A) & ordinal(A) & epsilon_connected(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 136 (all A (function(A) & relation(A) -> (one_to_one(A) -> (all B (function(B) & relation(B) -> ((all C all D ((apply(A,D) = C & in(D,relation_dom(A)) -> D = apply(B,C) & in(C,relation_rng(A))) & (in(C,relation_rng(A)) & D = apply(B,C) -> in(D,relation_dom(A)) & C = apply(A,D)))) & relation_dom(B) = relation_rng(A) <-> function_inverse(A) = B)))))) # label(t54_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 137 (all A all B all C (subset(A,B) -> subset(cartesian_product2(A,C),cartesian_product2(B,C)) & subset(cartesian_product2(C,A),cartesian_product2(C,B)))) # label(t118_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 138 (all A (-empty(A) -> -((all B -(in(B,A) & empty_set = B)) & (all B (function(B) & relation(B) -> -((all C (in(C,A) -> in(apply(B,C),C))) & A = relation_dom(B))))))) # label(t28_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.62 139 (all A (latt_str(A) -> join_semilatt_str(A) & meet_semilatt_str(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.62 140 (all A all B (ordinal(A) & element(B,powerset(powerset(succ(A)))) -> ((all C all D all E ((exists F (set_difference(F,singleton(A)) = D & in(F,B))) & (exists G (set_difference(G,singleton(A)) = E & in(G,B))) & E = C & D = C -> D = E)) -> (exists C all D (in(D,C) <-> (exists E (in(E,powerset(A)) & E = D & (exists H (in(H,B) & set_difference(H,singleton(A)) = D))))))))) # label(s1_tarski__e4_27_3_1__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 141 (all A all B (relation(B) & -empty(A) -> ((all C all D all E (in(C,A) & (exists F (in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))) & C = F)) & (exists H ((all I (in(I,H) -> in(ordered_pair(E,I),B))) & in(E,H) & H = C)) -> E = D)) & (all C -((all D -(exists J ((all K (in(K,J) -> in(ordered_pair(D,K),B))) & in(D,J) & C = J))) & in(C,A))) -> (exists C (relation(C) & function(C) & relation_dom(C) = A & (all D (in(D,A) -> (exists L (D = L & (all M (in(M,L) -> in(ordered_pair(apply(C,D),M),B))) & in(apply(C,D),L)))))))))) # label(s2_funct_1__e10_24__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 142 (all A (ordinal(A) -> connected(inclusion_relation(A)))) # label(t4_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 143 (all A all B (relation(B) -> (all C (relation(C) -> ((all D all E (in(ordered_pair(D,E),C) <-> in(E,A) & in(ordered_pair(D,E),B))) <-> relation_rng_restriction(A,B) = C))))) # label(d12_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 144 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> ((all C -((all D -(all H (element(H,powerset(the_carrier(A))) -> (H = C -> subset_complement(the_carrier(A),H) = D)))) & in(C,B))) & (all C all D all E (in(C,B) & (all F (element(F,powerset(the_carrier(A))) -> (F = C -> subset_complement(the_carrier(A),F) = D))) & (all G (element(G,powerset(the_carrier(A))) -> (G = C -> subset_complement(the_carrier(A),G) = E))) -> D = E)) -> (exists C (relation(C) & (all D (in(D,B) -> (all I (element(I,powerset(the_carrier(A))) -> (I = D -> subset_complement(the_carrier(A),I) = apply(C,D)))))) & relation_dom(C) = B & function(C)))))) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 145 (all A (v5_membered(A) -> (all B (element(B,A) -> v1_int_1(B) & v1_rat_1(B) & v1_xreal_0(B) & natural(B) & v1_xcmplx_0(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 146 (all A all B all C (relation(C) -> (in(A,relation_field(relation_restriction(C,B))) -> in(A,B) & in(A,relation_field(C))))) # label(t19_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 147 (all A (relation(A) -> (all B (is_antisymmetric_in(A,B) <-> (all C all D (in(ordered_pair(C,D),A) & in(ordered_pair(D,C),A) & in(D,B) & in(C,B) -> D = C)))))) # label(d4_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 148 (all A (one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (is_a_cover_of_carrier(A,B) <-> cast_as_carrier_subset(A) = union_of_subsets(the_carrier(A),B)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 149 (all A all B (subset(A,B) <-> set_difference(A,B) = empty_set)) # label(l32_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 150 (all A (v3_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 151 (all A all B all C (subset(C,B) & subset(A,B) -> subset(set_union2(A,C),B))) # label(t8_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 152 (all A (ordinal(A) -> (all B (ordinal(B) -> (ordinal_subset(succ(A),B) <-> in(A,B)))))) # label(t33_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 153 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 154 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 155 (all A all B all C (relation(C) -> subset(fiber(relation_restriction(C,A),B),fiber(C,B)))) # label(t21_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 156 (all A (relation(A) -> (all B ((all C all D -(in(C,B) & in(D,B) & C != D & -in(ordered_pair(C,D),A) & -in(ordered_pair(D,C),A))) <-> is_connected_in(A,B))))) # label(d6_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 157 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> ((all C all D all E ((all F (element(F,powerset(the_carrier(A))) -> (C = F -> subset_complement(the_carrier(A),F) = D))) & (all G (element(G,powerset(the_carrier(A))) -> (C = G -> subset_complement(the_carrier(A),G) = E))) & in(C,B) & in(C,B) -> D = E)) -> (exists C all D ((exists E ((all H (element(H,powerset(the_carrier(A))) -> (E = H -> D = subset_complement(the_carrier(A),H)))) & in(E,B) & in(E,B))) <-> in(D,C)))))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 158 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 159 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) & topological_space(A) -> closed_subset(topstr_closure(A,B),A))) # label(fc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 160 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 161 (all A (one_sorted_str(A) -> cast_as_carrier_subset(A) = the_carrier(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 162 (all A (relation(A) -> (is_connected_in(A,relation_field(A)) <-> connected(A)))) # label(d14_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 163 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 164 (all A (function(A) & relation(A) -> (finite(relation_dom(A)) -> finite(relation_rng(A))))) # label(t26_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 165 (all A (-empty(singleton(A)) & finite(singleton(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 166 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_isomorphism(A,B,C) -> (reflexive(A) -> reflexive(B)) & (connected(A) -> connected(B)) & (antisymmetric(A) -> antisymmetric(B)) & (well_founded_relation(A) -> well_founded_relation(B)) & (transitive(A) -> transitive(B))))))))) # label(t53_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 167 (all A all 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))))))) # label(t21_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 168 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 169 (all A (topological_space(A) & top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> open_subset(interior(A,B),A))))) # label(t51_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 170 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> subset_complement(A,union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B))))) # label(t11_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 171 (all A (ordinal(A) -> ((all B (ordinal(B) -> (in(B,A) -> (in(B,omega) -> (all C (element(C,powerset(powerset(B))) -> -(C != empty_set & (all D -(in(D,C) & (all E (in(E,C) & subset(D,E) -> D = E))))))))))) -> (in(A,omega) -> (all F (element(F,powerset(powerset(A))) -> -((all G -((all H (in(H,F) & subset(G,H) -> H = G)) & in(G,F))) & empty_set != F))))))) -> (all A (ordinal(A) -> (in(A,omega) -> (all I (element(I,powerset(powerset(A))) -> -((all J -((all K (subset(J,K) & in(K,I) -> K = J)) & in(J,I))) & empty_set != I)))))) # label(s2_ordinal1__e18_27__finset_1__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 172 (all A all B all C (-empty_carrier(A) & meet_commutative(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & meet_semilatt_str(A) -> element(meet_commut(A,B,C),the_carrier(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 173 (all A all B ((A = empty_set -> (B = set_meet(A) <-> B = empty_set)) & (A != empty_set -> (B = set_meet(A) <-> (all C ((all D (in(D,A) -> in(C,D))) <-> in(C,B))))))) # label(d1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 174 (exists A latt_str(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 175 (exists A (relation(A) & function(A) & one_to_one(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 176 (all A set_difference(A,empty_set) = A) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 177 (all A element(cast_to_subset(A),powerset(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 178 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_isomorphism(A,B,C) & well_ordering(A) -> well_ordering(B)))))))) # label(t54_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 179 (all A all B all C (-empty_carrier(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & join_semilatt_str(A) & join_commutative(A) -> join_commut(A,C,B) = join_commut(A,B,C))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 180 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 181 (all A ((exists B exists C ordered_pair(B,C) = A) -> (all B (B = pair_first(A) <-> (all C all D (A = ordered_pair(C,D) -> C = B)))))) # label(d1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 182 (all A all B all C all D (ordered_pair(A,B) = ordered_pair(C,D) -> A = C & D = B)) # label(t33_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 183 (all A all B (relation(B) -> (reflexive(B) -> reflexive(relation_restriction(B,A))))) # label(t22_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 184 (all A all B (empty(A) & relation(B) -> empty(relation_composition(A,B)) & relation(relation_composition(A,B)))) # label(fc9_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 185 (all A all B (element(B,powerset(A)) -> set_difference(A,B) = subset_complement(A,B))) # label(d5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 186 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> ((all C all D all E ((exists G (closed_subset(G,A) & subset(B,E) & E = G & element(G,powerset(the_carrier(A))))) & C = E & (exists F (element(F,powerset(the_carrier(A))) & F = D & closed_subset(F,A) & subset(B,D))) & C = D -> D = E)) -> (exists C all D ((exists E (in(E,powerset(the_carrier(A))) & D = E & (exists H (element(H,powerset(the_carrier(A))) & closed_subset(H,A) & subset(B,D) & D = H)))) <-> in(D,C)))))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 187 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (closed_subset(B,A) -> B = topstr_closure(A,B)) & (topological_space(A) & B = topstr_closure(A,B) -> closed_subset(B,A)))))) # label(t52_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 188 (all A antisymmetric(inclusion_relation(A))) # label(t5_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 189 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 190 (all A all B (element(B,powerset(powerset(A))) -> meet_of_subsets(A,B) = set_meet(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 191 (all A all B ((all C (in(C,A) -> in(C,B))) -> element(A,powerset(B)))) # label(l71_subset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 192 (all A (top_str(A) -> one_sorted_str(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 193 (all A all B all C (subset(A,B) -> subset(A,set_difference(B,singleton(C))) | in(C,A))) # label(l3_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 194 (all A all B (element(B,powerset(powerset(A))) -> (empty_set != B -> union_of_subsets(A,complements_of_subsets(A,B)) = subset_complement(A,meet_of_subsets(A,B))))) # label(t12_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 195 (all A (join_semilatt_str(A) -> quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & function(the_L_join(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 196 (all A (relation(A) -> (all B (relation(B) -> subset(relation_dom(relation_composition(A,B)),relation_dom(A)))))) # label(t44_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 197 (all A all B all C (relation_of2(C,A,B) -> relation_dom_as_subset(A,B,C) = relation_dom(C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 198 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 199 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 200 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 201 (all A all B set_union2(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 202 (all A all B (empty_set = A | singleton(B) = A <-> subset(A,singleton(B)))) # label(t39_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 203 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 204 (all A (empty(A) -> epsilon_transitive(A) & ordinal(A) & epsilon_connected(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 205 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E (in(C,complements_of_subsets(the_carrier(A),B)) & (all G (element(G,powerset(the_carrier(A))) -> (G = C -> subset_complement(the_carrier(A),G) = E))) & (all F (element(F,powerset(the_carrier(A))) -> (F = C -> subset_complement(the_carrier(A),F) = D))) & in(C,complements_of_subsets(the_carrier(A),B)) -> D = E)) -> (exists C all D ((exists E (in(E,complements_of_subsets(the_carrier(A),B)) & (all H (element(H,powerset(the_carrier(A))) -> (H = E -> D = subset_complement(the_carrier(A),H)))) & in(E,complements_of_subsets(the_carrier(A),B)))) <-> in(D,C)))))) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 206 (all A (top_str(A) -> ((all B (element(B,powerset(powerset(the_carrier(A)))) -> -(is_a_cover_of_carrier(A,B) & (all C (element(C,powerset(powerset(the_carrier(A)))) -> -(finite(C) & is_a_cover_of_carrier(A,C) & subset(C,B)))) & open_subsets(B,A)))) <-> compact_top_space(A)))) # label(d3_compts_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 207 (all A all B ((exists C (function(C) & B = relation_rng(C) & A = relation_dom(C) & one_to_one(C) & relation(C))) <-> equipotent(A,B))) # label(d4_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 208 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 209 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 210 (all A (relation(A) & -empty(A) -> -empty(relation_rng(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 211 (all A all B (v3_membered(A) -> v1_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)))) # label(fc31_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 212 (all A all B ((all C (in(C,A) <-> in(C,B))) -> B = A)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 213 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> open_subset(interior(A,B),A))) # label(fc6_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 214 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (open_subsets(B,A) <-> (all C (element(C,powerset(the_carrier(A))) -> (in(C,B) -> open_subset(C,A))))))))) # label(d1_tops_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 215 (all A all B (relation(A) -> relation(relation_dom_restriction(A,B)))) # label(dt_k7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 216 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,powerset(the_carrier(A))) -> (C = topstr_closure(A,B) <-> (all D (in(D,the_carrier(A)) -> ((all E (element(E,powerset(the_carrier(A))) -> -(open_subset(E,A) & disjoint(B,E) & in(D,E)))) <-> in(D,C))))))))))) # label(d13_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 217 (all A all B all C -(in(A,B) & in(B,C) & in(C,A))) # label(t3_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 218 (all A all B (relation(B) & -empty(A) -> ((all C all D all E (in(C,A) & (exists F (in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))) & F = C)) & (exists H (H = C & in(E,H) & (all I (in(I,H) -> in(ordered_pair(E,I),B))))) & in(C,A) -> E = D)) -> (exists C all D ((exists E (in(E,A) & in(E,A) & (exists J (in(D,J) & (all K (in(K,J) -> in(ordered_pair(D,K),B))) & J = E)))) <-> in(D,C)))))) # label(s1_tarski__e10_24__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 219 (all A all B (relation(B) -> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)))) # label(t18_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 220 (all A all B all C (C = set_difference(A,B) <-> (all D (in(D,A) & -in(D,B) <-> in(D,C))))) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 221 (all A all B (in(A,B) <-> subset(singleton(A),B))) # label(t37_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 222 (all A all B (relation(B) -> (subset(A,relation_field(B)) & well_ordering(B) -> A = relation_field(relation_restriction(B,A))))) # label(t39_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 223 (all A (empty(A) -> v1_membered(A) & v2_membered(A) & v3_membered(A) & v5_membered(A) & v4_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 224 (all A all B (B = powerset(A) <-> (all C (subset(C,A) <-> in(C,B))))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 225 (all A all B (relation(B) -> subset(relation_rng(relation_rng_restriction(A,B)),A))) # label(t116_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 226 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) -> element(topstr_closure(A,B),powerset(the_carrier(A))))) # label(dt_k6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 227 (all A all B (relation(B) -> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)))) # label(t118_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 228 (all A all B all C (relation_of2_as_subset(C,B,A) -> ((all D -(in(D,B) & (all E -in(ordered_pair(D,E),C)))) <-> B = relation_dom_as_subset(B,A,C)))) # label(t22_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 229 (all A (preboolean(powerset(A)) & diff_closed(powerset(A)) & cup_closed(powerset(A)) & -empty(powerset(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 230 (all A all B (relation(B) -> subset(relation_field(relation_restriction(B,A)),relation_field(B)) & subset(relation_field(relation_restriction(B,A)),A))) # label(t20_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 231 (all A all B (disjoint(A,B) <-> A = set_difference(A,B))) # label(t83_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 232 (all A all B (v1_membered(A) -> v1_membered(set_difference(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 233 (all A (relation(A) -> A = relation_inverse(relation_inverse(A)))) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 234 (all A (one_sorted_str(A) -> v3_membered(empty_carrier_subset(A)) & v4_membered(empty_carrier_subset(A)) & v5_membered(empty_carrier_subset(A)) & v2_membered(empty_carrier_subset(A)) & v1_membered(empty_carrier_subset(A)) & empty(empty_carrier_subset(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 235 (all A (join_semilatt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (C = join(A,B,C) <-> below(A,B,C)))))))) # label(d3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 236 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 237 (all A all B (relation(B) & function(B) -> (one_to_one(B) & in(A,relation_rng(B)) -> apply(relation_composition(function_inverse(B),B),A) = A & apply(B,apply(function_inverse(B),A)) = A))) # label(t57_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 238 (all A all B all C (subset(A,B) -> subset(set_intersection2(A,C),set_intersection2(B,C)))) # label(t26_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 239 (all A all B exists C all D (in(D,cartesian_product2(A,B)) & (exists E exists F (F = singleton(E) & in(E,A) & ordered_pair(E,F) = D)) <-> in(D,C))) # label(s1_xboole_0__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 240 (all A (relation(A) -> (transitive(A) <-> (all B all C all D (in(ordered_pair(B,C),A) & in(ordered_pair(C,D),A) -> in(ordered_pair(B,D),A)))))) # label(l2_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 241 (all A (one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> B = subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)))))) # label(t15_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 242 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 243 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 244 (all A (v5_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v5_membered(B) & v4_membered(B) & v3_membered(B) & v2_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 245 (all A all B -proper_subset(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 246 (exists A (function(A) & one_to_one(A) & empty(A) & ordinal(A) & epsilon_connected(A) & epsilon_transitive(A) & relation(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 247 (all A ((exists B (in(B,A) & ordinal(B))) -> (exists B (in(B,A) & (all C (ordinal(C) -> (in(C,A) -> ordinal_subset(B,C)))) & ordinal(B))))) # label(s1_ordinal1__e8_6__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 248 (all A A = union(powerset(A))) # label(t99_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 249 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> (all C ((all D all E all F (E = D & (exists G exists H (ordered_pair(G,H) = E & (all I (element(I,powerset(the_carrier(A))) -> (G = I -> H = subset_complement(the_carrier(A),I)))) & in(G,complements_of_subsets(the_carrier(A),B)))) & (exists J exists K (ordered_pair(J,K) = F & (all L (element(L,powerset(the_carrier(A))) -> (L = J -> subset_complement(the_carrier(A),L) = K))) & in(J,complements_of_subsets(the_carrier(A),B)))) & D = F -> F = E)) -> (exists D all E ((exists F (in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) & (exists M exists N (ordered_pair(M,N) = E & (all O (element(O,powerset(the_carrier(A))) -> (O = M -> N = subset_complement(the_carrier(A),O)))) & in(M,complements_of_subsets(the_carrier(A),B)))) & F = E)) <-> in(E,D))))))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 250 (all A all B (v2_membered(A) -> v2_membered(set_difference(A,B)) & v1_membered(set_difference(A,B)))) # label(fc38_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 251 (all A all B (element(B,powerset(powerset(succ(A)))) & ordinal(A) -> (exists C all D (in(D,C) <-> (exists E (in(E,B) & D = set_difference(E,singleton(A)))) & in(D,powerset(A)))))) # label(s1_xboole_0__e4_27_3_1__finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 252 (all A all B (in(A,B) -> set_union2(singleton(A),B) = B)) # label(l23_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 253 (all A all B (v4_membered(A) -> v1_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)) & v4_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 254 (all A all B (v4_membered(A) -> v2_membered(set_intersection2(B,A)) & v4_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc34_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 255 (all A all B (v2_membered(A) -> v2_membered(set_intersection2(A,B)) & v1_membered(set_intersection2(A,B)))) # label(fc29_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 256 (exists A (-empty(A) & v1_membered(A) & v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 257 (all A (relation(A) -> relation_dom(relation_inverse(A)) = relation_rng(A) & relation_rng(relation_inverse(A)) = relation_dom(A))) # label(t37_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 258 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (open_subset(B,A) <-> closed_subset(subset_complement(the_carrier(A),B),A)))))) # label(t30_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 259 (all A all B (v5_membered(A) -> v1_membered(set_difference(A,B)) & v3_membered(set_difference(A,B)) & v4_membered(set_difference(A,B)) & v5_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 260 (all A (A != empty_set & (all B -(empty_set != B & finite(B) & empty_set = set_meet(B) & subset(B,A))) <-> centered(A))) # label(d2_compts_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 261 (all A reflexive(inclusion_relation(A))) # label(t2_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.63 262 (all A (relation(A) -> (all B (relation_dom(A) = B <-> (all C (in(C,B) <-> (exists D in(ordered_pair(C,D),A)))))))) # label(d4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 263 (all A -empty(succ(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 264 (all A (v1_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 265 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 266 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> subset_intersection2(A,B,B) = B)) # label(idempotence_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 267 (all A all B all C (function(C) & relation(C) & element(B,powerset(powerset(A))) -> ((all D all E all F (D = E & in(relation_image(C,F),B) & F = D & in(relation_image(C,E),B) -> E = F)) -> (exists D all E ((exists F (E = F & in(relation_image(C,E),B) & in(F,powerset(relation_dom(C))))) <-> in(E,D)))))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 268 (exists A (finite(A) & -empty(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 269 (all A (relation(A) -> (all B ((all C all D all E (in(C,B) & in(D,B) & in(ordered_pair(D,E),A) & in(ordered_pair(C,D),A) & in(E,B) -> in(ordered_pair(C,E),A))) <-> is_transitive_in(A,B))))) # label(d8_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 270 (all A (meet_semilatt_str(A) -> relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & function(the_L_meet(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 271 (exists A (relation_empty_yielding(A) & relation(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 272 (all A all B all C ((all D (in(D,A) | in(D,B) <-> in(D,C))) <-> C = set_union2(A,B))) # label(d2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.63 273 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> element(subset_intersection2(A,B,C),powerset(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 274 (all A (top_str(A) -> (topological_space(A) <-> in(the_carrier(A),the_topology(A)) & (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,powerset(the_carrier(A))) -> (in(B,the_topology(A)) & in(C,the_topology(A)) -> in(subset_intersection2(the_carrier(A),B,C),the_topology(A))))))) & (all B (element(B,powerset(powerset(the_carrier(A)))) -> (subset(B,the_topology(A)) -> in(union_of_subsets(the_carrier(A),B),the_topology(A)))))))) # label(d1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 275 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A) <-> closed_subset(B,A)))))) # label(d6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 276 (all A ((all B -in(B,A)) <-> empty_set = A)) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 277 (all A (relation(A) -> (empty_set = relation_rng(A) | empty_set = relation_dom(A) -> A = empty_set))) # label(t64_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 278 (all A (relation(A) & function(A) -> (all B all C ((all D (in(D,C) <-> (exists E (apply(A,E) = D & in(E,B) & in(E,relation_dom(A)))))) <-> relation_image(A,B) = C)))) # label(d12_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 279 (all A all B -(proper_subset(B,A) & subset(A,B))) # label(t60_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 280 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 281 (all A all B (-empty(B) & -empty(A) -> -empty(cartesian_product2(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 282 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> set_intersection2(B,C) = subset_intersection2(A,B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 283 (all A all B all C (relation(C) -> (in(ordered_pair(A,B),C) -> in(A,relation_dom(C)) & in(B,relation_rng(C))))) # label(t20_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 284 (all A (relation(A) -> (all B (relation(B) -> subset(relation_rng(relation_composition(A,B)),relation_rng(B)))))) # label(t45_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 285 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> ((all C all D all E ((all F (element(F,powerset(the_carrier(A))) -> (F = C -> D = subset_complement(the_carrier(A),F)))) & (all G (element(G,powerset(the_carrier(A))) -> (C = G -> subset_complement(the_carrier(A),G) = E))) & in(C,complements_of_subsets(the_carrier(A),B)) & in(C,complements_of_subsets(the_carrier(A),B)) -> E = D)) -> (exists C (relation(C) & (all D all E (in(ordered_pair(D,E),C) <-> in(D,complements_of_subsets(the_carrier(A),B)) & in(D,complements_of_subsets(the_carrier(A),B)) & (all H (element(H,powerset(the_carrier(A))) -> (D = H -> subset_complement(the_carrier(A),H) = E))))) & function(C)))))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 286 (all A all B all C (relation_of2(C,A,B) -> relation_rng(C) = relation_rng_as_subset(A,B,C))) # label(redefinition_k5_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 287 (exists A top_str(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 288 (all A exists B ((all C (in(C,B) -> in(powerset(C),B))) & (all C -(subset(C,B) & -are_equipotent(C,B) & -in(C,B))) & (all C all D (in(C,B) & subset(D,C) -> in(D,B))) & in(A,B))) # label(t136_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 289 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 290 (all A all B (-((exists C (in(C,A) & in(C,B))) & disjoint(A,B)) & -(-disjoint(A,B) & (all C -(in(C,A) & in(C,B)))))) # label(t3_xboole_0) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 291 (all A exists B (relation(B) & well_orders(B,A))) # label(t26_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 292 (all A all B -(empty(B) & in(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 293 (all A all B (-in(B,A) <-> set_difference(A,singleton(B)) = A)) # label(t65_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 294 (all A (one_sorted_str(A) & -empty_carrier(A) -> -empty(cast_as_carrier_subset(A)))) # label(fc2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 295 (all A (relation(A) & function(A) & empty(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 296 (all A all B all C (relation(C) -> (in(A,relation_image(C,B)) <-> (exists D (in(ordered_pair(D,A),C) & in(D,B) & in(D,relation_dom(C))))))) # label(t143_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 297 (all A all B all C (relation_of2(C,A,B) -> element(relation_dom_as_subset(A,B,C),powerset(A)))) # label(dt_k4_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 298 (all A all B all C all D (in(B,D) & in(A,C) <-> in(ordered_pair(A,B),cartesian_product2(C,D)))) # label(t106_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 299 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 300 (all A (ordinal(A) -> epsilon_connected(union(A)) & ordinal(union(A)) & epsilon_transitive(union(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 301 (all A (v3_membered(A) -> (all B (element(B,A) -> v1_rat_1(B) & v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 302 (all A all B exists C relation_of2(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 303 (all A all B (subset(singleton(A),B) <-> in(A,B))) # label(l2_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 304 (all A all B (relation(B) -> subset(relation_dom_restriction(B,A),B))) # label(t88_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 305 (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))))))))) # label(t50_subset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 306 (all A all B (relation(B) & relation(A) -> relation(set_intersection2(A,B)))) # label(fc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 307 (all A all B all C (element(C,powerset(cartesian_product2(A,B))) -> relation(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 308 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 309 (all A all B (relation(B) & relation(A) -> relation(set_difference(A,B)))) # label(fc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 310 (all A (relation(A) -> (all B (relation(B) -> (subset(relation_dom(A),relation_rng(B)) -> relation_rng(relation_composition(B,A)) = relation_rng(A)))))) # label(t47_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 311 (all A (v2_membered(A) -> (all B (element(B,A) -> v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 312 (all A all B all C all D (unordered_triple(A,B,C) = D <-> (all E (in(E,D) <-> -(B != E & C != E & A != E))))) # label(d1_enumset1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 313 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 314 (all A all B all C all D (in(A,C) & in(B,D) <-> in(ordered_pair(A,B),cartesian_product2(C,D)))) # label(l55_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 315 (all A (relation(A) -> relation(relation_inverse(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 316 (all A (relation(A) -> (all B (is_reflexive_in(A,B) & is_connected_in(A,B) & is_well_founded_in(A,B) & is_antisymmetric_in(A,B) & is_transitive_in(A,B) <-> well_orders(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 317 (all A all B all C (unordered_pair(B,C) = singleton(A) -> A = B)) # label(t8_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 318 (all A all B (relation(B) & function(B) -> (all C (relation(C) & function(C) -> (in(A,relation_dom(relation_composition(C,B))) -> apply(B,apply(C,A)) = apply(relation_composition(C,B),A)))))) # label(t22_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 319 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 320 (all A (rel_str(A) -> (is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) <-> antisymmetric_relstr(A)))) # label(d6_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 321 (all A (-empty_carrier(A) & one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,the_carrier(A)) -> (in(C,subset_complement(the_carrier(A),B)) <-> -in(C,B)))))))) # label(l40_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 322 (all A (relation(A) -> (transitive(A) & antisymmetric(A) & well_founded_relation(A) & connected(A) & reflexive(A) <-> well_ordering(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 323 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> subset(interior(A,B),B))))) # label(t44_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 324 (all A exists B all C (in(C,A) & ordinal(C) <-> in(C,B))) # label(s1_xboole_0__e6_22__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 325 (all A all B (subset(singleton(A),singleton(B)) -> B = A)) # label(t6_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 326 (all A (function(A) & relation(A) -> (all B ((all C ((exists D (C = apply(A,D) & in(D,relation_dom(A)))) <-> in(C,B))) <-> relation_rng(A) = B)))) # label(d5_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 327 (all A (rel_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (in(ordered_pair(B,C),the_InternalRel(A)) <-> related(A,B,C)))))))) # label(d9_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 328 (all A all B (proper_subset(A,B) -> -proper_subset(B,A))) # label(antisymmetry_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 329 (all A (ordinal(A) -> (all B (ordinal(B) -> -(-in(B,A) & A != B & -in(A,B)))))) # label(t24_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 330 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 331 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> interior(A,B) = subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))))))) # label(d1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 332 (all A all B (function(B) & relation(B) -> (B = identity_relation(A) <-> relation_dom(B) = A & (all C (in(C,A) -> apply(B,C) = C))))) # label(t34_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 333 (all A (relation(A) -> (all B all C ((all D (in(D,C) <-> (exists E (in(E,B) & in(ordered_pair(D,E),A))))) <-> relation_inverse_image(A,B) = C)))) # label(d14_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 334 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 335 (all A (relation(A) -> (all B set_intersection2(A,cartesian_product2(B,B)) = relation_restriction(A,B)))) # label(d6_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 336 (all A all B (v2_membered(A) -> v2_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc30_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 337 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 338 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 339 (all A all B all C (-empty_carrier(A) & meet_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & meet_commutative(A) -> meet_commut(A,B,C) = meet(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 340 (all A (epsilon_connected(A) <-> (all B all C -(in(C,A) & -in(C,B) & C != B & -in(B,C) & in(B,A))))) # label(d3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 341 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(C) -> ((all D (in(D,relation_dom(B)) -> apply(C,D) = apply(B,D))) & set_intersection2(relation_dom(C),A) = relation_dom(B) <-> relation_dom_restriction(C,A) = B))))) # label(t68_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 342 (all A all B (relation(B) -> subset(relation_image(B,A),relation_rng(B)))) # label(t144_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 343 (all A all B (v3_membered(A) -> v3_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)) & v1_membered(set_difference(A,B)))) # label(fc39_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 344 (all A all B (subset(A,B) -> set_union2(A,set_difference(B,A)) = B)) # label(t45_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 345 (all A all B (relation(B) -> (transitive(B) -> transitive(relation_restriction(B,A))))) # label(t24_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 346 (all A all B set_union2(A,B) = set_union2(A,set_difference(B,A))) # label(t39_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 347 (all A empty_set = set_difference(empty_set,A)) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 348 (all A (one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> B = subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)))))) # label(t22_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 349 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> element(subset_difference(A,B,C),powerset(A)))) # label(dt_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 350 (all A all B unordered_pair(unordered_pair(A,B),singleton(A)) = ordered_pair(A,B)) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 351 (all A empty_set = set_intersection2(A,empty_set)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 352 (all A (meet_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 353 (all A (relation(A) -> (well_ordering(A) <-> well_orders(A,relation_field(A))))) # label(t8_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 354 (all A all B (relation(B) -> (well_ordering(B) -> well_ordering(relation_restriction(B,A))))) # label(t32_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 355 (all A all B (element(B,powerset(powerset(A))) -> -(complements_of_subsets(A,B) != empty_set & empty_set = B) & -(complements_of_subsets(A,B) = empty_set & empty_set != B))) # label(t10_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 356 (all A (-empty_carrier(A) & meet_semilatt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C) = meet(A,B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 357 (all A (relation(A) -> (all B (relation(B) -> ((all C all D (in(ordered_pair(C,D),A) <-> in(ordered_pair(C,D),B))) <-> A = B))))) # label(d2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 358 (all A (relation(A) -> (all B (relation(B) -> relation_image(B,relation_rng(A)) = relation_rng(relation_composition(A,B)))))) # label(t160_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 359 (all A all B all C (unordered_pair(A,B) = C <-> (all D (A = D | B = D <-> in(D,C))))) # label(d2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.64 360 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (in(C,the_carrier(A)) -> ((all D (element(D,powerset(the_carrier(A))) -> (closed_subset(D,A) & subset(B,D) -> in(C,D)))) <-> in(C,topstr_closure(A,B))))))))) # label(t45_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.64 361 (all A all B (relation(B) & -empty(A) -> (all C ((all D all E all F ((exists G exists H (ordered_pair(G,H) = E & (exists I (I = G & in(H,I) & (all J (in(J,I) -> in(ordered_pair(H,J),B))))) & in(G,A))) & (exists K exists L (F = ordered_pair(K,L) & (exists M (in(L,M) & (all N (in(N,M) -> in(ordered_pair(L,N),B))) & K = M)) & in(K,A))) & D = F & E = D -> F = E)) -> (exists D all E ((exists F (F = E & (exists O exists P ((exists Q (in(P,Q) & (all R (in(R,Q) -> in(ordered_pair(P,R),B))) & O = Q)) & in(O,A) & E = ordered_pair(O,P))) & in(F,cartesian_product2(A,C)))) <-> in(E,D))))))) # label(s1_tarski__e10_24__wellord2__2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 362 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_isomorphism(A,B,C) <-> relation_dom(C) = relation_field(A) & one_to_one(C) & (all D all E (in(ordered_pair(D,E),A) <-> in(E,relation_field(A)) & in(ordered_pair(apply(C,D),apply(C,E)),B) & in(D,relation_field(A)))) & relation_rng(C) = relation_field(B)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 363 (all A (relation(A) -> (all B ((all C ((exists D in(ordered_pair(D,C),A)) <-> in(C,B))) <-> relation_rng(A) = B)))) # label(d5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 364 (in(empty_set,omega) -> (all A (element(A,powerset(powerset(empty_set))) -> -(empty_set != A & (all B -((all C (in(C,A) & subset(B,C) -> C = B)) & in(B,A))))))) & (all D (ordinal(D) -> ((in(D,omega) -> (all E (element(E,powerset(powerset(D))) -> -((all F -((all G (in(G,E) & subset(F,G) -> F = G)) & in(F,E))) & empty_set != E)))) -> (in(succ(D),omega) -> (all H (element(H,powerset(powerset(succ(D)))) -> -((all I -(in(I,H) & (all J (in(J,H) & subset(I,J) -> J = I)))) & empty_set != H))))))) & (all D (ordinal(D) -> ((all K (ordinal(K) -> (in(K,D) -> (in(K,omega) -> (all L (element(L,powerset(powerset(K))) -> -((all M -((all N (subset(M,N) & in(N,L) -> M = N)) & in(M,L))) & empty_set != L))))))) & being_limit_ordinal(D) -> empty_set = D | (in(D,omega) -> (all O (element(O,powerset(powerset(D))) -> -(O != empty_set & (all P -((all Q (subset(P,Q) & in(Q,O) -> P = Q)) & in(P,O)))))))))) -> (all D (ordinal(D) -> (in(D,omega) -> (all R (element(R,powerset(powerset(D))) -> -((all S -((all T (in(T,R) & subset(S,T) -> S = T)) & in(S,R))) & empty_set != R)))))) # label(s1_ordinal2__e18_27__finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 365 (all A (one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (finite(complements_of_subsets(the_carrier(A),B)) <-> finite(B)))))) # label(t13_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 366 (exists A (function(A) & empty(A) & one_to_one(A) & relation(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 367 (all A (natural(A) & ordinal(A) -> -empty(succ(A)) & epsilon_transitive(succ(A)) & natural(succ(A)) & ordinal(succ(A)) & epsilon_connected(succ(A)))) # label(fc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 368 (all A relation(identity_relation(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 369 (all A all B all C (function(C) & relation(C) & relation(B) -> ((all D all E all F ((exists G exists H (in(ordered_pair(apply(C,G),apply(C,H)),B) & E = ordered_pair(G,H))) & D = F & (exists I exists J (in(ordered_pair(apply(C,I),apply(C,J)),B) & ordered_pair(I,J) = F)) & E = D -> F = E)) -> (exists D all E ((exists F ((exists K exists L (E = ordered_pair(K,L) & in(ordered_pair(apply(C,K),apply(C,L)),B))) & E = F & in(F,cartesian_product2(A,A)))) <-> in(E,D)))))) # label(s1_tarski__e6_21__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 370 (all A all B (union(A) = B <-> (all C (in(C,B) <-> (exists D (in(D,A) & in(C,D))))))) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 371 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> meet_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))))) # label(t47_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 372 (all A (topological_space(A) & top_str(A) & -empty_carrier(A) -> (exists B (closed_subset(B,A) & -empty(B) & element(B,powerset(the_carrier(A))))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 373 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 374 (all A all B (v1_membered(A) -> v1_membered(set_intersection2(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 375 (all A all B all C (function(C) & relation(C) -> (in(B,relation_dom(relation_dom_restriction(C,A))) -> apply(C,B) = apply(relation_dom_restriction(C,A),B)))) # label(t70_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 376 (all A all B (finite(A) & finite(B) -> finite(set_union2(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 377 (all A all B (-in(A,B) -> disjoint(singleton(A),B))) # label(l28_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 378 (all A all B (element(B,powerset(powerset(A))) -> element(union_of_subsets(A,B),powerset(A)))) # label(dt_k5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 379 (all A all B (element(B,powerset(A)) -> (all C (element(C,powerset(A)) -> (disjoint(B,C) <-> subset(B,subset_complement(A,C))))))) # label(t43_subset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 380 (all A (ordinal(A) -> ((all B all C all D (C = B & (exists E (ordinal(E) & (in(E,omega) -> (all F (element(F,powerset(powerset(E))) -> -((all G -(in(G,F) & (all H (subset(G,H) & in(H,F) -> G = H)))) & F != empty_set)))) & C = E)) & (exists I ((in(I,omega) -> (all J (element(J,powerset(powerset(I))) -> -(empty_set != J & (all K -((all L (subset(K,L) & in(L,J) -> L = K)) & in(K,J))))))) & I = D & ordinal(I))) & B = D -> D = C)) -> (exists B all C ((exists D ((exists M ((in(M,omega) -> (all N (element(N,powerset(powerset(M))) -> -(N != empty_set & (all O -((all P (in(P,N) & subset(O,P) -> O = P)) & in(O,N))))))) & M = C & ordinal(M))) & C = D & in(D,succ(A)))) <-> in(C,B)))))) # label(s1_tarski__e18_27__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 381 (all A all B -(disjoint(singleton(A),B) & in(A,B))) # label(l25_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 382 (all A (topological_space(A) & top_str(A) -> closed_subset(cast_as_carrier_subset(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 383 (all A all B all C all D (function(D) & quasi_total(D,A,B) & relation_of2_as_subset(D,A,B) -> (empty_set != B -> (all E (in(E,relation_inverse_image(D,C)) <-> in(apply(D,E),C) & in(E,A)))))) # label(t46_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 384 (all A ((all B all C all D (D = singleton(B) & C = singleton(B) & in(B,A) -> D = C)) & (all B -((all C singleton(B) != C) & in(B,A))) -> (exists B (relation(B) & (all C (in(C,A) -> apply(B,C) = singleton(C))) & relation_dom(B) = A & function(B))))) # label(s2_funct_1__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 385 (all A (finite(A) -> (all B (element(B,powerset(powerset(A))) -> -((all C -(in(C,B) & (all D (subset(C,D) & in(D,B) -> C = D)))) & B != empty_set))))) # label(t18_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 386 (all A (relation(A) -> relation_rng(A) = relation_image(A,relation_dom(A)))) # label(t146_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 387 (all A all B (disjoint(A,B) <-> empty_set = set_intersection2(A,B))) # label(d7_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 388 (all A (-empty(A) -> (exists B (-empty(B) & finite(B) & element(B,powerset(A)))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.81 389 (all A all B (relation(B) -> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A))) # label(t17_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.81 390 (all A (ordinal(A) -> (being_limit_ordinal(A) <-> (all B (ordinal(B) -> (in(B,A) -> in(succ(B),A))))))) # label(t41_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 391 (all A all B (element(B,powerset(powerset(A))) -> element(meet_of_subsets(A,B),powerset(A)))) # label(dt_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 392 (all A in(A,succ(A))) # label(t10_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 393 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) -> element(interior(A,B),powerset(the_carrier(A))))) # label(dt_k1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 394 (all A (relation(A) & function(A) -> (all B all C ((-in(B,relation_dom(A)) -> (C = apply(A,B) <-> C = empty_set)) & (in(B,relation_dom(A)) -> (C = apply(A,B) <-> in(ordered_pair(B,C),A))))))) # label(d4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 395 (all A transitive(inclusion_relation(A))) # label(t3_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 396 (all A (one_sorted_str(A) -> (empty(the_carrier(A)) <-> empty_carrier(A)))) # label(d1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 397 (all A (relation(A) & function(A) -> (one_to_one(A) -> relation_dom(A) = relation_rng(function_inverse(A)) & relation_rng(A) = relation_dom(function_inverse(A))))) # label(t55_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 398 (all A all B (relation(B) -> relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B))) # label(t94_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 399 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (closed_subset(B,A) <-> open_subset(subset_complement(the_carrier(A),B),A)))))) # label(t29_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 400 (all A relation(inclusion_relation(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 401 (all A all B (v5_membered(A) -> v1_membered(set_intersection2(B,A)) & v2_membered(set_intersection2(B,A)) & v4_membered(set_intersection2(B,A)) & v5_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)))) # label(fc36_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 402 (all A all B (top_str(A) & element(B,powerset(powerset(the_carrier(A)))) & topological_space(A) -> (exists C ((all D (element(D,powerset(the_carrier(A))) -> (in(D,C) <-> in(set_difference(cast_as_carrier_subset(A),D),B)))) & element(C,powerset(powerset(the_carrier(A)))))))) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 403 (all A A = set_union2(A,empty_set)) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 404 (all A all B (relation(B) -> relation(relation_rng_restriction(A,B)))) # label(dt_k8_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 405 (all A all B (relation(B) -> subset(relation_inverse_image(B,A),relation_dom(B)))) # label(t167_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 406 (all A all B (element(B,powerset(powerset(A))) -> -(empty_set != B & complements_of_subsets(A,B) = empty_set))) # label(t46_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 407 (all A (v2_membered(A) -> (all B (element(B,powerset(A)) -> v2_membered(B) & v1_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 408 (all A all B (subset(A,B) <-> set_difference(A,B) = empty_set)) # label(t37_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 409 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 410 (all A subset(empty_set,A)) # label(t2_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 411 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 412 (all A all B all C (function(C) & relation(C) & relation(B) -> (exists D ((all E all F (in(F,A) & in(ordered_pair(apply(C,E),apply(C,F)),B) & in(E,A) <-> in(ordered_pair(E,F),D))) & relation(D))))) # label(s1_relat_1__e6_21__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 413 (all A (join_semilatt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> join(A,B,C) = apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_join(A),B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 414 (all A all B all C all D (relation(D) -> (in(ordered_pair(A,B),relation_composition(identity_relation(C),D)) <-> in(A,C) & in(ordered_pair(A,B),D)))) # label(t74_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 415 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 416 (all A (ordinal(A) -> epsilon_connected(A) & epsilon_transitive(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 417 (all A (relation(A) -> ((all B all C -in(ordered_pair(B,C),A)) -> empty_set = A))) # label(t56_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 418 (all A all B (-empty(A) & relation(B) -> ((all C all D all E ((exists F (F = C & in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))))) & in(C,A) & (exists H (H = C & in(E,H) & (all I (in(I,H) -> in(ordered_pair(E,I),B))))) & in(C,A) -> D = E)) -> (exists C ((all D all E (in(ordered_pair(D,E),C) <-> in(D,A) & (exists J ((all K (in(K,J) -> in(ordered_pair(E,K),B))) & in(E,J) & D = J)) & in(D,A))) & function(C) & relation(C)))))) # label(s1_funct_1__e10_24__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 419 (all A all B (function(B) & relation(B) -> (finite(A) -> finite(relation_image(B,A))))) # label(t17_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 420 (all A all B all C (relation(C) & function(C) -> (in(B,relation_dom(relation_dom_restriction(C,A))) <-> in(B,A) & in(B,relation_dom(C))))) # label(l82_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 421 (all A (relation(A) & function(A) -> (all B all C (relation_inverse_image(A,B) = C <-> (all D (in(apply(A,D),B) & in(D,relation_dom(A)) <-> in(D,C))))))) # label(d13_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 422 (all A all B all C (relation_of2(C,A,B) <-> relation_of2_as_subset(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 423 (all A all B all C (relation(C) & function(C) -> (B = apply(C,A) & in(A,relation_dom(C)) <-> in(ordered_pair(A,B),C)))) # label(t8_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 424 (all A (rel_str(A) -> one_sorted_str(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 425 (all A all B (element(B,powerset(A)) -> B = subset_complement(A,subset_complement(A,B)))) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 426 (all A singleton(A) != empty_set) # label(l1_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 427 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> subset(B,topstr_closure(A,B)))))) # label(t48_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 428 (all A all B all C (relation(B) & function(C) & relation(C) -> (exists D all E ((exists F exists G (E = ordered_pair(F,G) & in(ordered_pair(apply(C,F),apply(C,G)),B))) & in(E,cartesian_product2(A,A)) <-> in(E,D))))) # label(s1_xboole_0__e6_21__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 429 (all A all B all C (relation_of2(C,A,B) <-> subset(C,cartesian_product2(A,B)))) # label(d1_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 430 (all A all B (relation(A) -> relation(relation_restriction(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 431 (all A all B all C (relation(C) -> (in(ordered_pair(A,B),C) -> in(B,relation_field(C)) & in(A,relation_field(C))))) # label(t30_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 432 (all A (ordinal(A) -> (exists B all C (in(C,B) <-> in(C,succ(A)) & (exists D (ordinal(D) & (in(D,omega) -> (all E (element(E,powerset(powerset(D))) -> -(E != empty_set & (all F -((all G (subset(F,G) & in(G,E) -> G = F)) & in(F,E))))))) & D = C)))))) # label(s1_xboole_0__e18_27__finset_1__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 433 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C -((all D -(all H (element(H,powerset(the_carrier(A))) -> (H = C -> D = subset_complement(the_carrier(A),H))))) & in(C,complements_of_subsets(the_carrier(A),B)))) & (all C all D all E (in(C,complements_of_subsets(the_carrier(A),B)) & (all G (element(G,powerset(the_carrier(A))) -> (G = C -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (F = C -> subset_complement(the_carrier(A),F) = D))) -> E = D)) -> (exists C (relation(C) & (all D (in(D,complements_of_subsets(the_carrier(A),B)) -> (all I (element(I,powerset(the_carrier(A))) -> (I = D -> apply(C,D) = subset_complement(the_carrier(A),I)))))) & relation_dom(C) = complements_of_subsets(the_carrier(A),B) & function(C)))))) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 434 (all A all B (ordinal(B) -> (exists C all D (in(D,succ(B)) & (exists E (ordinal(E) & in(E,A) & E = D)) <-> in(D,C))))) # label(s1_xboole_0__e8_6__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 435 (all A all B exists C (relation(C) & function(C) & relation_of2(C,A,B))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 436 (all A (empty(A) & ordinal(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A))) # label(cc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 437 (all A all B (relation(B) & function(B) -> function(relation_rng_restriction(A,B)) & relation(relation_rng_restriction(A,B)))) # label(fc5_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 438 (all A (diff_closed(A) & cup_closed(A) -> preboolean(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 439 (all A (top_str(A) -> element(the_topology(A),powerset(powerset(the_carrier(A)))))) # label(dt_u1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 440 (all A all B (relation(A) & relation_empty_yielding(A) -> relation(relation_dom_restriction(A,B)) & relation_empty_yielding(relation_dom_restriction(A,B)))) # label(fc13_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 441 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 442 (all A ((all B all C all D (in(ordered_pair(B,C),A) & in(ordered_pair(B,D),A) -> C = D)) <-> function(A))) # label(d1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 443 (all A (v4_membered(A) -> (all B (element(B,A) -> v1_xreal_0(B) & v1_rat_1(B) & v1_int_1(B) & v1_xcmplx_0(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 444 (all A all B (finite(A) -> finite(set_intersection2(A,B)))) # label(t15_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 445 (all A (v4_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v4_membered(B) & v3_membered(B) & v2_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 446 (all A all B (element(A,B) -> in(A,B) | empty(B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 447 (all A all B all C (element(B,powerset(C)) & in(A,B) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 448 (all A ((exists B exists C ordered_pair(B,C) = A) -> (all B ((all C all D (A = ordered_pair(C,D) -> D = B)) <-> pair_second(A) = B)))) # label(d2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 449 (all A all B (function(A) & relation(B) & function(B) & relation(A) -> relation(relation_composition(A,B)) & function(relation_composition(A,B)))) # label(fc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 450 (all A all B (relation(B) & function(B) -> (subset(A,relation_rng(B)) -> relation_image(B,relation_inverse_image(B,A)) = A))) # label(t147_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 451 (all A all B (ordinal(B) & ordinal(A) -> ordinal_subset(A,B) | ordinal_subset(B,A))) # label(connectedness_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 452 (all A all B all C (meet_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & -empty_carrier(A) -> element(meet(A,B,C),the_carrier(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 453 (all A all B all C (relation_of2(C,A,B) -> element(relation_rng_as_subset(A,B,C),powerset(B)))) # label(dt_k5_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 454 (all A exists B (in(A,B) & (all C -((all D -((all E (subset(E,C) -> in(E,D))) & in(D,B))) & in(C,B))) & (all C -(subset(C,B) & -are_equipotent(C,B) & -in(C,B))) & (all C all D (subset(D,C) & in(C,B) -> in(D,B))))) # label(t9_tarski) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 455 (all A ((all B all C all D (singleton(B) = C & singleton(B) = D & in(B,A) & in(B,A) -> D = C)) -> (exists B all C ((exists D (in(D,A) & singleton(D) = C & in(D,A))) <-> in(C,B))))) # label(s1_tarski__e16_22__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 456 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 457 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) & open_subset(B,A) & topological_space(A) -> closed_subset(subset_complement(the_carrier(A),B),A))) # label(fc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 458 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 459 (all A all B (equipotent(A,B) -> equipotent(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 460 (all A all B (ordinal(B) -> (in(A,B) -> ordinal(A)))) # label(t23_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 461 (all A all B (relation(B) -> (subset(A,relation_dom(B)) -> subset(A,relation_inverse_image(B,relation_image(B,A)))))) # label(t146_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 462 (all A all B (element(B,powerset(powerset(A))) -> element(complements_of_subsets(A,B),powerset(powerset(A))))) # label(dt_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 463 (all A all B all C (relation(C) -> (in(A,relation_rng(C)) & in(A,B) <-> in(A,relation_rng(relation_rng_restriction(B,C)))))) # label(t115_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 464 (all A all B A = set_intersection2(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 465 (all A (relation(A) -> (all B all C ((all D (in(D,C) <-> (exists E (in(E,B) & in(ordered_pair(E,D),A))))) <-> relation_image(A,B) = C)))) # label(d13_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 466 (all A (empty(A) -> empty(relation_inverse(A)) & relation(relation_inverse(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 467 (all A (relation(A) -> (all B ((all C (in(C,B) -> in(ordered_pair(C,C),A))) <-> is_reflexive_in(A,B))))) # label(d1_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 468 (all A all B all C (join_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & -empty_carrier(A) -> element(join(A,B,C),the_carrier(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 469 (all A (relation(A) -> (well_founded_relation(A) <-> (all B -((all C -(disjoint(fiber(A,C),B) & in(C,B))) & empty_set != B & subset(B,relation_field(A))))))) # label(d2_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 470 (all A all B (pair_second(ordered_pair(A,B)) = B & pair_first(ordered_pair(A,B)) = A)) # label(t7_mcart_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 471 (all A all B (-empty(A) -> -empty(set_union2(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 472 (all A all B subset(set_difference(A,B),A)) # label(t36_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 473 (all A ((all B -(in(B,A) & (all C all D B != ordered_pair(C,D)))) <-> relation(A))) # label(d1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 474 (exists A (epsilon_transitive(A) & ordinal(A) & epsilon_connected(A) & -empty(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 475 (all A all B all C (in(A,C) & in(B,C) <-> subset(unordered_pair(A,B),C))) # label(t38_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 476 (all A all B (subset(A,B) <-> element(A,powerset(B)))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 477 (all A all B all C (subset(A,B) & disjoint(B,C) -> disjoint(A,C))) # label(t63_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 478 (all A (ordinal(A) -> (all B (element(B,A) -> ordinal(B) & epsilon_connected(B) & epsilon_transitive(B))))) # label(cc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 479 (all A (top_str(A) & topological_space(A) -> (all B (top_str(B) -> (all C (element(C,powerset(the_carrier(A))) -> (all D (element(D,powerset(the_carrier(B))) -> (open_subset(D,B) -> interior(B,D) = D) & (C = interior(A,C) -> open_subset(C,A)))))))))) # label(t55_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 480 (all A all B all C (relation_of2_as_subset(C,A,B) -> (empty_set = B -> (quasi_total(C,A,B) <-> C = empty_set) | empty_set = A) & ((B = empty_set -> empty_set = A) -> (relation_dom_as_subset(A,B,C) = A <-> quasi_total(C,A,B))))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 481 (all A (relation(A) -> (transitive(A) <-> is_transitive_in(A,relation_field(A))))) # label(d16_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 482 (all A all B (relation(B) -> relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A))) # label(t90_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 483 (all A all B (relation(B) -> (antisymmetric(B) -> antisymmetric(relation_restriction(B,A))))) # label(t25_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 484 (all A all B (v4_membered(A) -> v1_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)) & v3_membered(set_difference(A,B)) & v4_membered(set_difference(A,B)))) # label(fc40_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 485 (all A all B ((all C all D all E (D = C & (exists F exists G (singleton(F) = G & in(F,A) & D = ordered_pair(F,G))) & C = E & (exists H exists I (singleton(H) = I & in(H,A) & E = ordered_pair(H,I))) -> E = D)) -> (exists C all D (in(D,C) <-> (exists E ((exists J exists K (K = singleton(J) & in(J,A) & ordered_pair(J,K) = D)) & E = D & in(E,cartesian_product2(A,B)))))))) # label(s1_tarski__e16_22__wellord2__2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 486 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> (all C exists D all E (in(E,D) <-> in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) & (exists F exists G ((all H (element(H,powerset(the_carrier(A))) -> (F = H -> G = subset_complement(the_carrier(A),H)))) & in(F,complements_of_subsets(the_carrier(A),B)) & ordered_pair(F,G) = E)))))) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 487 (all A all B (element(B,powerset(powerset(A))) -> complements_of_subsets(A,complements_of_subsets(A,B)) = B)) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 488 (all A all B (finite(B) -> finite(set_intersection2(A,B)))) # label(fc10_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 489 (all A (rel_str(A) -> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 490 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 491 (all A all B all C all D (relation_of2_as_subset(D,C,A) -> (subset(relation_rng(D),B) -> relation_of2_as_subset(D,C,B)))) # label(t14_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 492 (all A (relation(identity_relation(A)) & function(identity_relation(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 493 (all A (relation(A) -> (all B all C (relation(C) -> ((all D all E (in(ordered_pair(D,E),A) & in(D,B) <-> in(ordered_pair(D,E),C))) <-> relation_dom_restriction(A,B) = C))))) # label(d11_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 494 (all A all B (finite(B) & subset(A,B) -> finite(A))) # label(t13_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 495 (all A all B all C all D (function(D) & quasi_total(D,A,B) & relation_of2_as_subset(D,A,B) -> (all E (function(E) & relation(E) -> (in(C,A) -> apply(relation_composition(D,E),C) = apply(E,apply(D,C)) | B = empty_set))))) # label(t21_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 496 (all A all B (ordinal(B) -> ((all C all D all E (E = C & (exists G (in(G,A) & E = G & ordinal(G))) & (exists F (F = D & in(F,A) & ordinal(F))) & D = C -> E = D)) -> (exists C all D (in(D,C) <-> (exists E (in(E,succ(B)) & (exists H (ordinal(H) & in(H,A) & D = H)) & D = E))))))) # label(s1_tarski__e8_6__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 497 (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))))))) # label(t25_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 498 (all A all B (relation(B) -> (connected(B) -> connected(relation_restriction(B,A))))) # label(t23_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 499 (all A all B (top_str(A) & element(B,powerset(powerset(the_carrier(A)))) & topological_space(A) -> (exists C all D (in(set_difference(cast_as_carrier_subset(A),D),B) & in(D,powerset(the_carrier(A))) <-> in(D,C))))) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 500 (all A all B (relation(B) -> -(equipotent(A,relation_field(B)) & (all C (relation(C) -> -well_orders(C,A))) & well_ordering(B)))) # label(l30_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 501 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 502 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 503 (all A all B all C -(empty(C) & element(B,powerset(C)) & in(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 504 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 505 (all A all B all C (relation(C) -> relation_rng_restriction(A,relation_dom_restriction(C,B)) = relation_dom_restriction(relation_rng_restriction(A,C),B))) # label(t140_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 506 (all A all B (relation(B) -> (B = inclusion_relation(A) <-> (all C all D (in(D,A) & in(C,A) -> (subset(C,D) <-> in(ordered_pair(C,D),B)))) & A = relation_field(B)))) # label(d1_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 507 (all A all B (element(B,powerset(A)) -> element(subset_complement(A,B),powerset(A)))) # label(dt_k3_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 508 (all A all B exists C relation_of2_as_subset(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 509 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 510 (all A all B all C (subset(A,C) & subset(A,B) -> subset(A,set_intersection2(B,C)))) # label(t19_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 511 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 512 (all A (ordinal(A) & (all B (ordinal(B) -> (being_limit_ordinal(B) & in(empty_set,B) -> subset(A,B)))) & being_limit_ordinal(A) & in(empty_set,A) <-> omega = A)) # label(d5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 513 (all A all B (relation(A) & relation(B) -> relation(relation_composition(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 514 (all A all B (v5_membered(A) -> v1_membered(set_intersection2(A,B)) & v5_membered(set_intersection2(A,B)) & v4_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 515 (all A all B all C (singleton(A) = unordered_pair(B,C) -> B = C)) # label(t9_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 516 (all A (ordinal(A) -> well_ordering(inclusion_relation(A)))) # label(t7_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 517 (all A (-empty_carrier(A) & latt_str(A) -> ((all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> C = join(A,meet(A,B,C),C))))) <-> meet_absorbing(A)))) # label(d8_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 518 (all A all B all C (relation_of2_as_subset(C,A,B) -> element(C,powerset(cartesian_product2(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 519 (all A (function(A) & relation(A) -> (one_to_one(A) <-> (all B all C (apply(A,B) = apply(A,C) & in(C,relation_dom(A)) & in(B,relation_dom(A)) -> B = C))))) # label(d8_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 520 (exists A (relation(A) & -empty(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 521 (all A all B (ordinal(B) -> -(A != empty_set & (all C (ordinal(C) -> -(in(C,A) & (all D (ordinal(D) -> (in(D,A) -> ordinal_subset(C,D))))))) & subset(A,B)))) # label(t32_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 522 (all A all B (relation(B) -> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)))) # label(l29_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 523 (all A (element(A,omega) -> epsilon_connected(A) & natural(A) & ordinal(A) & epsilon_transitive(A))) # label(cc3_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 524 (all A (topological_space(A) & top_str(A) -> (exists B (closed_subset(B,A) & element(B,powerset(the_carrier(A))))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 525 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> (all C exists D all E (in(E,D) <-> (exists F exists G (ordered_pair(F,G) = E & (all H (element(H,powerset(the_carrier(A))) -> (F = H -> G = subset_complement(the_carrier(A),H)))) & in(F,B))) & in(E,cartesian_product2(B,C)))))) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 526 (exists A (-empty_carrier(A) & one_sorted_str(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 527 (all A (one_to_one(A) & function(A) & relation(A) -> relation(relation_inverse(A)) & function(relation_inverse(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 528 (all A (empty(A) -> relation(relation_dom(A)) & empty(relation_dom(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 529 (all A (relation(A) -> (all B (relation(B) -> (all C (relation(C) -> (relation_composition(A,B) = C <-> (all D all E ((exists F (in(ordered_pair(D,F),A) & in(ordered_pair(F,E),B))) <-> in(ordered_pair(D,E),C)))))))))) # label(d8_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 530 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (open_subsets(B,A) <-> closed_subsets(complements_of_subsets(the_carrier(A),B),A)))))) # label(t17_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 531 (all A (topological_space(A) & top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> ((all C (element(C,powerset(the_carrier(A))) -> (in(C,B) -> closed_subset(C,A)))) -> closed_subset(meet_of_subsets(the_carrier(A),B),A)))))) # label(t44_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 532 (all A all B ((empty(A) -> (element(B,A) <-> empty(B))) & (-empty(A) -> (element(B,A) <-> in(B,A))))) # label(d2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 533 (all A all B (subset(A,B) & B != A <-> proper_subset(A,B))) # label(d8_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 534 (all A all B (in(B,A) -> B = apply(identity_relation(A),B))) # label(t35_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 535 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 536 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 537 (all A all B all C (function(C) & relation(C) & element(B,powerset(powerset(A))) -> (exists D all E (in(E,D) <-> in(relation_image(C,E),B) & in(E,powerset(relation_dom(C))))))) # label(s1_xboole_0__e6_27__finset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 538 (all A all B (relation(B) & function(B) -> subset(relation_image(B,relation_inverse_image(B,A)),A))) # label(t145_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 539 (all A all B all C all D (relation_of2_as_subset(D,C,A) -> (subset(A,B) -> relation_of2_as_subset(D,C,B)))) # label(t16_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 540 (all A all B (v1_membered(A) -> v1_membered(set_intersection2(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 541 (all A all B (in(A,B) -> subset(A,union(B)))) # label(l50_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 542 (all A all B all C all D all E all F (-empty(A) & -empty(B) & function(D) & quasi_total(D,cartesian_product2(A,B),C) & relation_of2(D,cartesian_product2(A,B),C) & element(F,B) & element(E,A) -> apply_binary_as_element(A,B,C,D,E,F) = apply_binary(D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 543 (all A (topological_space(A) & top_str(A) -> (exists B (open_subset(B,A) & element(B,powerset(the_carrier(A))))))) # label(rc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 544 (all A all B all C ((all D ((exists E exists F (in(E,A) & ordered_pair(E,F) = D & in(F,B))) <-> in(D,C))) <-> cartesian_product2(A,B) = C)) # label(d2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 545 (all A all B all C (subset(B,C) & subset(A,B) -> subset(A,C))) # label(t1_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 546 (all A (empty(A) -> relation(relation_rng(A)) & empty(relation_rng(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 547 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 548 (all A all B all C (set_intersection2(A,B) = C <-> (all D (in(D,A) & in(D,B) <-> in(D,C))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 549 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (open_subset(B,A) <-> in(B,the_topology(A))))))) # label(d5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 550 (all A exists B (element(B,powerset(A)) & empty(B) & epsilon_transitive(B) & finite(B) & natural(B) & ordinal(B) & epsilon_connected(B) & one_to_one(B) & function(B) & relation(B))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 551 (all A (-empty(A) -> (exists B (-empty(B) & element(B,powerset(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 552 (all A all B (empty(A) & relation(B) -> empty(relation_composition(B,A)) & relation(relation_composition(B,A)))) # label(fc10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 553 (all A all B all C (function(C) & relation(C) -> (in(B,A) -> apply(C,B) = apply(relation_dom_restriction(C,A),B)))) # label(t72_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 554 (all A all B (relation(B) -> -(A != empty_set & relation_inverse_image(B,A) = empty_set & subset(A,relation_rng(B))))) # label(t174_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.33/1.82 555 (all A all B all C (-empty_carrier(A) & join_semilatt_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & join_commutative(A) -> element(join_commut(A,B,C),the_carrier(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.33/1.82 556 (all A all B all C all D (function(D) & relation_of2_as_subset(D,A,B) & quasi_total(D,A,B) -> (subset(B,C) -> quasi_total(D,A,C) & relation_of2_as_subset(D,A,C) & function(D) | empty_set != A & empty_set = B))) # label(t9_funct_2) # label(lemma) # label(non_clause). [assumption]. 3.04/3.37 557 (all A all B exists C (relation(C) & quasi_total(C,A,B) & function(C) & relation_of2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 3.04/3.37 558 (all A all B set_difference(A,B) = set_difference(set_union2(A,B),B)) # label(t40_xboole_1) # label(lemma) # label(non_clause). [assumption]. 3.04/3.37 559 -(all A (rel_str(A) & antisymmetric_relstr(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (related(A,B,C) & related(A,C,B) -> B = C))))))) # label(t25_orders_2) # label(negated_conjecture) # label(non_clause). [assumption]. 3.04/3.37 3.04/3.37 ============================== end of process non-clausal formulas === 3.04/3.37 3.04/3.37 ============================== PROCESS INITIAL CLAUSES =============== 3.04/3.37 3.04/3.37 ============================== PREDICATE ELIMINATION ================= 3.04/3.37 560 -join_semilatt_str(A) | one_sorted_str(A) # label(dt_l2_lattices) # label(axiom). [clausify(92)]. 3.04/3.37 561 -one_sorted_str(A) | cast_as_carrier_subset(A) = the_carrier(A) # label(t12_pre_topc) # label(lemma). [clausify(3)]. 3.04/3.37 562 -one_sorted_str(A) | empty_carrier_subset(A) = empty_set # label(d2_pre_topc) # label(axiom). [clausify(4)]. 3.04/3.37 563 -one_sorted_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))) # label(dt_k2_pre_topc) # label(axiom). [clausify(21)]. 3.04/3.37 564 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 565 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 566 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 567 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 568 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 569 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 570 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 571 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 572 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | element(f20(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 573 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | f20(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 574 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | subset_complement(the_carrier(B),f20(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 575 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | in(f21(B,A,D,E),cartesian_product2(A,D)) | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 576 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | f21(B,A,D,E) = E | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 577 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f22(B,A,D,F) | subset_complement(the_carrier(B),E) = f23(B,A,D,F) | -in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 578 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | in(f22(B,A,D,E),A) | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 579 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | ordered_pair(f22(B,A,D,E),f23(B,A,D,E)) = E | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 580 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 581 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 582 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 583 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 584 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 585 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 586 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 587 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f15(B,A,C),A) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 588 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | element(f20(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 589 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | f20(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 590 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | subset_complement(the_carrier(B),f20(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 591 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | in(f21(B,A,D,E),cartesian_product2(A,D)) | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 592 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | f21(B,A,D,E) = E | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 593 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f22(B,A,D,F) | subset_complement(the_carrier(B),E) = f23(B,A,D,F) | -in(F,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 594 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | in(f22(B,A,D,E),A) | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 595 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | ordered_pair(f22(B,A,D,E),f23(B,A,D,E)) = E | -in(E,f19(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 596 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 597 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 598 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 599 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 600 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 601 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 602 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 603 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f17(B,A,C),A) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 604 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 605 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 606 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 607 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 608 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 609 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 610 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 611 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 612 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 613 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 614 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 615 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 616 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 617 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 618 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 619 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) = f12(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 620 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 621 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 622 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 623 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 624 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 625 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 626 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 627 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f13(B,A,C) = f12(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 628 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 629 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 630 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 631 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 632 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 633 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 634 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 635 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f14(B,A,C) != f13(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(22)]. 3.04/3.37 636 -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B) # label(t17_pre_topc) # label(lemma). [clausify(24)]. 3.04/3.37 637 empty_carrier(A) | -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B # label(t5_tops_2) # label(lemma). [clausify(26)]. 3.04/3.37 638 -one_sorted_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))) # label(dt_k1_pre_topc) # label(axiom). [clausify(27)]. 3.04/3.37 639 empty_carrier(A) | -one_sorted_str(A) | -empty(f35(A)) # label(rc5_struct_0) # label(axiom). [clausify(54)]. 3.04/3.37 640 empty_carrier(A) | -one_sorted_str(A) | element(f35(A),powerset(the_carrier(A))) # label(rc5_struct_0) # label(axiom). [clausify(54)]. 3.04/3.37 641 -one_sorted_str(A) | empty_carrier(A) | -empty(the_carrier(A)) # label(fc1_struct_0) # label(axiom). [clausify(66)]. 3.04/3.37 Derived: -join_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(560,b,561,a)]. 3.04/3.37 Derived: -join_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(560,b,562,a)]. 3.04/3.37 Derived: -join_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(560,b,563,a)]. 3.04/3.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,564,b)]. 3.04/3.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,565,b)]. 3.04/3.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,566,b)]. 3.04/3.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,567,b)]. 3.04/3.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,568,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,569,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,570,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,571,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,572,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,573,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,574,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(560,b,575,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(560,b,576,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(560,b,577,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(560,b,578,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(560,b,579,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,580,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,581,b)]. 3.04/3.38 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,582,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,583,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,584,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,585,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,586,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,587,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,588,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,589,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,590,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(560,b,591,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(560,b,592,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(560,b,593,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(560,b,594,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(560,b,595,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,596,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,597,b)]. 3.04/3.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,598,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,599,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,600,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,601,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,602,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,603,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,604,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,605,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,606,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,607,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,608,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,609,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,610,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,611,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,612,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,613,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,614,b)]. 3.14/3.40 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,615,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,616,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,617,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,618,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,619,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,620,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,621,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,622,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,623,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,624,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,625,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,626,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,627,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,628,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,629,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,630,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,631,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,632,b)]. 3.14/3.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,633,b)]. 3.14/3.42 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,634,b)]. 3.14/3.42 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,635,b)]. 3.14/3.42 Derived: -join_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(560,b,636,a)]. 3.14/3.42 Derived: -join_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(560,b,637,b)]. 3.14/3.42 Derived: -join_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(560,b,638,a)]. 3.14/3.42 Derived: -join_semilatt_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(560,b,639,b)]. 3.14/3.42 Derived: -join_semilatt_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(560,b,640,b)]. 3.14/3.42 Derived: -join_semilatt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(560,b,641,a)]. 3.14/3.42 642 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | relation(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(642,b,560,b)]. 3.14/3.42 643 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | function(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(643,b,560,b)]. 3.14/3.42 644 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(644,b,560,b)]. 3.14/3.42 645 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(645,b,560,b)]. 3.14/3.42 646 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(646,b,560,b)]. 3.14/3.42 647 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(647,b,560,b)]. 3.14/3.42 648 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f50(B,A),A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(648,b,560,b)]. 3.14/3.43 649 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | relation(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(649,b,560,b)]. 3.14/3.43 650 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | function(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(650,b,560,b)]. 3.14/3.43 651 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(651,b,560,b)]. 3.14/3.43 652 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(652,b,560,b)]. 3.14/3.43 653 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(653,b,560,b)]. 3.14/3.43 654 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(654,b,560,b)]. 3.14/3.43 655 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) | -join_semilatt_str(B). [resolve(655,b,560,b)]. 3.14/3.43 656 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | relation(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(656,b,560,b)]. 3.14/3.43 657 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | function(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(657,b,560,b)]. 3.14/3.43 658 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(658,b,560,b)]. 3.14/3.43 659 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(659,b,560,b)]. 3.14/3.43 660 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(660,b,560,b)]. 3.14/3.43 661 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(661,b,560,b)]. 3.14/3.43 662 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) | -join_semilatt_str(B). [resolve(662,b,560,b)]. 3.14/3.46 663 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | relation(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(663,b,560,b)]. 3.14/3.46 664 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | function(f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(664,b,560,b)]. 3.14/3.46 665 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(665,b,560,b)]. 3.14/3.46 666 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(666,b,560,b)]. 3.14/3.46 667 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(667,b,560,b)]. 3.14/3.46 668 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(668,b,560,b)]. 3.14/3.46 669 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f52(B,A) != f51(B,A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(97)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(669,b,560,b)]. 3.14/3.46 670 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(670,a,560,b)]. 3.14/3.46 671 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(671,a,560,b)]. 3.14/3.46 672 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(672,a,560,b)]. 3.14/3.46 673 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(673,a,560,b)]. 3.14/3.46 674 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(674,a,560,b)]. 3.14/3.46 675 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(675,a,560,b)]. 3.14/3.46 676 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(676,a,560,b)]. 3.14/3.46 677 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(677,a,560,b)]. 3.14/3.46 678 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(678,a,560,b)]. 3.14/3.47 679 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(679,a,560,b)]. 3.14/3.47 680 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(680,a,560,b)]. 3.14/3.47 681 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(681,a,560,b)]. 3.14/3.47 682 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(682,a,560,b)]. 3.14/3.47 683 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(683,a,560,b)]. 3.14/3.47 684 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(684,a,560,b)]. 3.14/3.47 685 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(685,a,560,b)]. 3.14/3.47 686 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(686,a,560,b)]. 3.14/3.47 687 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(687,a,560,b)]. 3.14/3.47 688 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(688,a,560,b)]. 3.14/3.47 689 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(689,a,560,b)]. 3.14/3.47 690 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(690,a,560,b)]. 3.14/3.47 691 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(691,a,560,b)]. 3.14/3.47 692 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(692,a,560,b)]. 3.14/3.47 693 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(693,a,560,b)]. 3.14/3.48 694 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(694,a,560,b)]. 3.14/3.48 695 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(695,a,560,b)]. 3.14/3.48 696 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(696,a,560,b)]. 3.14/3.48 697 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(697,a,560,b)]. 3.14/3.48 698 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(698,a,560,b)]. 3.14/3.48 699 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(699,a,560,b)]. 3.14/3.48 700 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(700,a,560,b)]. 3.14/3.48 701 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(701,a,560,b)]. 3.14/3.48 702 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(702,a,560,b)]. 3.14/3.48 703 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(703,a,560,b)]. 3.14/3.48 704 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(704,a,560,b)]. 3.14/3.48 705 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(705,a,560,b)]. 3.14/3.48 706 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(706,a,560,b)]. 3.14/3.48 707 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(707,a,560,b)]. 3.14/3.48 708 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(708,a,560,b)]. 3.14/3.48 709 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(709,a,560,b)]. 3.14/3.49 710 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(710,a,560,b)]. 3.14/3.49 711 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(711,a,560,b)]. 3.14/3.49 712 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(712,a,560,b)]. 3.14/3.49 713 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(713,a,560,b)]. 3.14/3.49 714 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(714,a,560,b)]. 3.14/3.49 715 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(715,a,560,b)]. 3.14/3.49 716 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(716,a,560,b)]. 3.14/3.49 717 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(717,a,560,b)]. 3.14/3.49 718 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(718,a,560,b)]. 3.14/3.49 719 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f102(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(719,a,560,b)]. 3.14/3.49 720 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(720,a,560,b)]. 3.14/3.49 721 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(721,a,560,b)]. 3.14/3.49 722 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(722,a,560,b)]. 3.14/3.49 723 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.14/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(723,a,560,b)]. 3.14/3.49 724 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(724,a,560,b)]. 3.25/3.50 725 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(725,a,560,b)]. 3.25/3.50 726 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(726,a,560,b)]. 3.25/3.50 727 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(727,a,560,b)]. 3.25/3.50 728 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(728,a,560,b)]. 3.25/3.50 729 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(729,a,560,b)]. 3.25/3.50 730 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(730,a,560,b)]. 3.25/3.50 731 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f102(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(731,a,560,b)]. 3.25/3.51 732 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(732,a,560,b)]. 3.25/3.51 733 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | function(f102(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(144)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(733,a,560,b)]. 3.25/3.51 734 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A) # label(d8_pre_topc) # label(axiom). [clausify(148)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -join_semilatt_str(B). [resolve(734,a,560,b)]. 3.25/3.51 735 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A) # label(d8_pre_topc) # label(axiom). [clausify(148)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -join_semilatt_str(B). [resolve(735,a,560,b)]. 3.25/3.51 736 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | element(f111(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(736,a,560,b)]. 3.25/3.51 737 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | f111(B,A,D,E) = E | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(737,a,560,b)]. 3.25/3.51 738 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | subset_complement(the_carrier(B),f111(B,A,D,E)) != D | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(738,a,560,b)]. 3.25/3.51 739 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | -element(D,powerset(the_carrier(B))) | D != f112(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f110(B,A)) | -join_semilatt_str(B). [resolve(739,a,560,b)]. 3.25/3.51 740 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | in(f112(B,A,D),A) | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(740,a,560,b)]. 3.25/3.51 741 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | element(f111(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(741,a,560,b)]. 3.25/3.51 742 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | f111(B,A,D,E) = E | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(742,a,560,b)]. 3.25/3.51 743 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | subset_complement(the_carrier(B),f111(B,A,D,E)) != D | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(743,a,560,b)]. 3.25/3.51 744 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | -element(D,powerset(the_carrier(B))) | D != f112(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f110(B,A)) | -join_semilatt_str(B). [resolve(744,a,560,b)]. 3.25/3.51 745 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | in(f112(B,A,D),A) | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(745,a,560,b)]. 3.25/3.51 746 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | element(f111(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(746,a,560,b)]. 3.25/3.52 747 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | f111(B,A,C,D) = D | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(747,a,560,b)]. 3.25/3.52 748 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | subset_complement(the_carrier(B),f111(B,A,C,D)) != C | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(748,a,560,b)]. 3.25/3.52 749 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f112(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(749,a,560,b)]. 3.25/3.52 750 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | in(f112(A,B,C),B) | -in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | in(f112(B,A,C),A) | -in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(750,a,560,b)]. 3.25/3.52 751 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | element(f111(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(751,a,560,b)]. 3.25/3.52 752 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | f111(B,A,C,D) = D | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(752,a,560,b)]. 3.25/3.52 753 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | subset_complement(the_carrier(B),f111(B,A,C,D)) != C | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(753,a,560,b)]. 3.25/3.52 754 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | -element(C,powerset(the_carrier(B))) | C != f112(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(754,a,560,b)]. 3.25/3.52 755 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | in(f112(A,B,C),B) | -in(C,f110(A,B)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(157)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | in(f112(B,A,C),A) | -in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(755,a,560,b)]. 3.25/3.55 756 -one_sorted_str(A) | cast_as_carrier_subset(A) = the_carrier(A) # label(d3_pre_topc) # label(axiom). [clausify(161)]. 3.25/3.55 757 -top_str(A) | one_sorted_str(A) # label(dt_l1_pre_topc) # label(axiom). [clausify(192)]. 3.25/3.55 Derived: -top_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(757,b,561,a)]. 3.25/3.55 Derived: -top_str(A) | empty_carrier_subset(A) = empty_set. [resolve(757,b,562,a)]. 3.25/3.55 Derived: -top_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(757,b,563,a)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,564,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,565,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,566,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,567,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,568,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,569,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,570,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,571,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(757,b,572,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(757,b,573,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(757,b,574,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(757,b,575,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(757,b,576,b)]. 3.25/3.55 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(757,b,577,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(757,b,578,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(757,b,579,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,580,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,581,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,582,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,583,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,584,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,585,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,586,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,587,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(757,b,588,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(757,b,589,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(757,b,590,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(757,b,591,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(757,b,592,b)]. 3.25/3.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(757,b,593,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(757,b,594,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(757,b,595,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,596,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,597,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,598,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,599,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,600,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,601,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,602,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,603,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,604,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,605,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,606,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,607,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,608,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,609,b)]. 3.25/3.57 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,610,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,611,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,612,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,613,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,614,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,615,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,616,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,617,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,618,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,619,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,620,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,621,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,622,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,623,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,624,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,625,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,626,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,627,b)]. 3.25/3.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,628,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,629,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(757,b,630,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(757,b,631,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(757,b,632,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(757,b,633,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(757,b,634,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(757,b,635,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(757,b,636,a)]. 3.25/3.59 Derived: -top_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(757,b,637,b)]. 3.25/3.59 Derived: -top_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(757,b,638,a)]. 3.25/3.59 Derived: -top_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(757,b,639,b)]. 3.25/3.59 Derived: -top_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(757,b,640,b)]. 3.25/3.59 Derived: -top_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(757,b,641,a)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | relation(f53(A,B)). [resolve(757,b,642,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | function(f53(A,B)). [resolve(757,b,643,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,644,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,645,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,646,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,647,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,648,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | relation(f53(A,B)). [resolve(757,b,649,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | function(f53(A,B)). [resolve(757,b,650,b)]. 3.25/3.59 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,651,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,652,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,653,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,654,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(757,b,655,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | relation(f53(A,B)). [resolve(757,b,656,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | function(f53(A,B)). [resolve(757,b,657,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,658,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,659,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,660,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,661,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(757,b,662,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | relation(f53(A,B)). [resolve(757,b,663,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | function(f53(A,B)). [resolve(757,b,664,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,665,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,666,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,667,b)]. 3.35/3.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(757,b,668,b)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(757,b,669,b)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(757,b,670,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,671,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(757,b,672,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | function(f102(A,B)). [resolve(757,b,673,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(757,b,674,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(757,b,675,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,676,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(757,b,677,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(757,b,678,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(757,b,679,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,680,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(757,b,681,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(757,b,682,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,683,a)]. 3.35/3.61 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,684,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(757,b,685,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(757,b,686,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,687,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(757,b,688,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(757,b,689,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(757,b,690,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(757,b,691,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,692,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(757,b,693,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(757,b,694,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(757,b,695,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,696,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(757,b,697,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(757,b,698,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,699,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,700,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(757,b,701,a)]. 3.35/3.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation(f102(A,B)). [resolve(757,b,702,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,703,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(757,b,704,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | function(f102(A,B)). [resolve(757,b,705,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(757,b,706,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(757,b,707,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,708,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(757,b,709,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(757,b,710,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(757,b,711,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,712,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(757,b,713,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(757,b,714,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,715,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,716,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(757,b,717,a)]. 3.35/3.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(757,b,718,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(757,b,719,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(757,b,720,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(757,b,721,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation(f102(A,B)). [resolve(757,b,722,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,723,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,724,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | function(f102(A,B)). [resolve(757,b,725,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation(f102(A,B)). [resolve(757,b,726,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(757,b,727,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,728,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | function(f102(A,B)). [resolve(757,b,729,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(757,b,730,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(757,b,731,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(757,b,732,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(757,b,733,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(757,b,734,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(757,b,735,a)]. 3.35/3.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(757,b,736,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(757,b,737,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(757,b,738,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(757,b,739,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(757,b,740,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(757,b,741,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(757,b,742,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(757,b,743,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(757,b,744,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(757,b,745,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(757,b,746,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(757,b,747,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(757,b,748,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(757,b,749,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(757,b,750,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(757,b,751,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(757,b,752,a)]. 3.35/3.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(757,b,753,a)]. 3.35/3.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(757,b,754,a)]. 3.35/3.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(757,b,755,a)]. 3.35/3.66 758 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(758,b,560,b)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -top_str(B). [resolve(758,b,757,b)]. 3.35/3.66 759 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(759,b,560,b)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -top_str(B). [resolve(759,b,757,b)]. 3.35/3.66 760 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(760,b,560,b)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -top_str(B). [resolve(760,b,757,b)]. 3.35/3.66 761 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -join_semilatt_str(B). [resolve(761,b,560,b)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -top_str(B). [resolve(761,b,757,b)]. 3.35/3.66 762 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(762,b,560,b)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -top_str(B). [resolve(762,b,757,b)]. 3.35/3.67 763 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(763,b,560,b)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -top_str(B). [resolve(763,b,757,b)]. 3.35/3.67 764 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(764,b,560,b)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -top_str(B). [resolve(764,b,757,b)]. 3.35/3.67 765 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(765,b,560,b)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -top_str(B). [resolve(765,b,757,b)]. 3.35/3.67 766 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(766,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -top_str(B). [resolve(766,b,757,b)]. 3.35/3.68 767 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(767,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -top_str(B). [resolve(767,b,757,b)]. 3.35/3.68 768 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(768,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -top_str(B). [resolve(768,b,757,b)]. 3.35/3.68 769 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(769,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -top_str(B). [resolve(769,b,757,b)]. 3.35/3.68 770 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(770,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -top_str(B). [resolve(770,b,757,b)]. 3.35/3.68 771 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(771,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -top_str(B). [resolve(771,b,757,b)]. 3.35/3.68 772 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(772,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -top_str(B). [resolve(772,b,757,b)]. 3.35/3.68 773 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(773,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -top_str(B). [resolve(773,b,757,b)]. 3.35/3.68 774 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(774,b,560,b)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -top_str(B). [resolve(774,b,757,b)]. 3.35/3.68 775 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.35/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(775,b,560,b)]. 3.45/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -top_str(B). [resolve(775,b,757,b)]. 3.45/3.71 776 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f132(B,A) != f131(B,A) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.45/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -join_semilatt_str(B). [resolve(776,b,560,b)]. 3.45/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -top_str(B). [resolve(776,b,757,b)]. 3.45/3.71 777 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f132(B,A) != f131(B,A) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(205)]. 3.45/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(777,b,560,b)]. 3.45/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -top_str(B). [resolve(777,b,757,b)]. 3.45/3.71 778 -one_sorted_str(A) | v3_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(234)]. 3.45/3.71 Derived: v3_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(778,a,560,b)]. 3.45/3.71 Derived: v3_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(778,a,757,b)]. 3.45/3.71 779 -one_sorted_str(A) | v4_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(234)]. 3.45/3.71 Derived: v4_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(779,a,560,b)]. 3.45/3.71 Derived: v4_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(779,a,757,b)]. 3.45/3.71 780 -one_sorted_str(A) | v5_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(234)]. 3.45/3.71 Derived: v5_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(780,a,560,b)]. 3.45/3.71 Derived: v5_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(780,a,757,b)]. 3.45/3.71 781 -one_sorted_str(A) | v2_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(234)]. 3.45/3.71 Derived: v2_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(781,a,560,b)]. 3.45/3.71 Derived: v2_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(781,a,757,b)]. 3.45/3.71 782 -one_sorted_str(A) | v1_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(234)]. 3.45/3.71 Derived: v1_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(782,a,560,b)]. 3.45/3.71 Derived: v1_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(782,a,757,b)]. 3.45/3.71 783 -one_sorted_str(A) | empty(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(234)]. 3.45/3.71 Derived: empty(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(783,a,560,b)]. 3.45/3.71 Derived: empty(empty_carrier_subset(A)) | -top_str(A). [resolve(783,a,757,b)]. 3.45/3.71 784 -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B # label(t15_pre_topc) # label(lemma). [clausify(241)]. 3.45/3.71 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -join_semilatt_str(B). [resolve(784,a,560,b)]. 3.45/3.71 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -top_str(B). [resolve(784,a,757,b)]. 3.45/3.71 785 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(785,a,560,b)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(785,a,757,b)]. 3.45/3.72 786 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(786,a,560,b)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(786,a,757,b)]. 3.45/3.72 787 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(787,a,560,b)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(787,a,757,b)]. 3.45/3.72 788 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(788,a,560,b)]. 3.45/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(788,a,757,b)]. 3.45/3.72 789 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(789,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(789,a,757,b)]. 3.45/3.73 790 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(790,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(790,a,757,b)]. 3.45/3.73 791 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(791,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(791,a,757,b)]. 3.45/3.73 792 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(792,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(792,a,757,b)]. 3.45/3.73 793 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(793,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(793,a,757,b)]. 3.45/3.73 794 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(794,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(794,a,757,b)]. 3.45/3.73 795 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(795,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(795,a,757,b)]. 3.45/3.73 796 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(796,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(796,a,757,b)]. 3.45/3.73 797 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(797,a,560,b)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(797,a,757,b)]. 3.45/3.73 798 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(798,a,560,b)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(798,a,757,b)]. 3.45/3.74 799 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(799,a,560,b)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(799,a,757,b)]. 3.45/3.74 800 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(800,a,560,b)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(800,a,757,b)]. 3.45/3.74 801 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(801,a,560,b)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -top_str(B). [resolve(801,a,757,b)]. 3.45/3.74 802 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(802,a,560,b)]. 3.45/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -top_str(B). [resolve(802,a,757,b)]. 3.45/3.75 803 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(803,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -top_str(B). [resolve(803,a,757,b)]. 3.45/3.75 804 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(804,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -top_str(B). [resolve(804,a,757,b)]. 3.45/3.75 805 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(805,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -top_str(B). [resolve(805,a,757,b)]. 3.45/3.75 806 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -join_semilatt_str(B). [resolve(806,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -top_str(B). [resolve(806,a,757,b)]. 3.45/3.75 807 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(807,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -top_str(B). [resolve(807,a,757,b)]. 3.45/3.75 808 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(808,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -top_str(B). [resolve(808,a,757,b)]. 3.45/3.75 809 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(809,a,560,b)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(809,a,757,b)]. 3.45/3.75 810 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(810,a,560,b)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(810,a,757,b)]. 3.45/3.76 811 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(811,a,560,b)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(811,a,757,b)]. 3.45/3.76 812 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(812,a,560,b)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(812,a,757,b)]. 3.45/3.76 813 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(813,a,560,b)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(813,a,757,b)]. 3.45/3.76 814 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(814,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(814,a,757,b)]. 3.45/3.77 815 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(815,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(815,a,757,b)]. 3.45/3.77 816 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(816,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(816,a,757,b)]. 3.45/3.77 817 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(817,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(817,a,757,b)]. 3.45/3.77 818 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(818,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(818,a,757,b)]. 3.45/3.77 819 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(819,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(819,a,757,b)]. 3.45/3.77 820 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(820,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(820,a,757,b)]. 3.45/3.77 821 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(821,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(821,a,757,b)]. 3.45/3.77 822 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(822,a,560,b)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(822,a,757,b)]. 3.45/3.77 823 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(823,a,560,b)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(823,a,757,b)]. 3.45/3.78 824 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(824,a,560,b)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(824,a,757,b)]. 3.45/3.78 825 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(825,a,560,b)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -top_str(B). [resolve(825,a,757,b)]. 3.45/3.78 826 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(826,a,560,b)]. 3.45/3.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -top_str(B). [resolve(826,a,757,b)]. 3.45/3.78 827 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(827,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -top_str(B). [resolve(827,a,757,b)]. 3.45/3.79 828 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(828,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -top_str(B). [resolve(828,a,757,b)]. 3.45/3.79 829 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(829,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -top_str(B). [resolve(829,a,757,b)]. 3.45/3.79 830 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -join_semilatt_str(B). [resolve(830,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -top_str(B). [resolve(830,a,757,b)]. 3.45/3.79 831 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(831,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -top_str(B). [resolve(831,a,757,b)]. 3.45/3.79 832 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(832,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -top_str(B). [resolve(832,a,757,b)]. 3.45/3.79 833 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(833,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(833,a,757,b)]. 3.45/3.79 834 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(834,a,560,b)]. 3.45/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(834,a,757,b)]. 3.45/3.79 835 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(835,a,560,b)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(835,a,757,b)]. 3.56/3.80 836 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(836,a,560,b)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(836,a,757,b)]. 3.56/3.80 837 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(837,a,560,b)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(837,a,757,b)]. 3.56/3.80 838 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(838,a,560,b)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(838,a,757,b)]. 3.56/3.80 839 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(839,a,560,b)]. 3.56/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(839,a,757,b)]. 3.56/3.81 840 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(840,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(840,a,757,b)]. 3.56/3.81 841 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(841,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(841,a,757,b)]. 3.56/3.81 842 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(842,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(842,a,757,b)]. 3.56/3.81 843 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(843,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(843,a,757,b)]. 3.56/3.81 844 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(844,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(844,a,757,b)]. 3.56/3.81 845 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(845,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(845,a,757,b)]. 3.56/3.81 846 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(846,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(846,a,757,b)]. 3.56/3.81 847 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(847,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(847,a,757,b)]. 3.56/3.81 848 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(848,a,560,b)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(848,a,757,b)]. 3.56/3.81 849 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(849,a,560,b)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(849,a,757,b)]. 3.56/3.82 850 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(850,a,560,b)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(850,a,757,b)]. 3.56/3.82 851 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(851,a,560,b)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -top_str(B). [resolve(851,a,757,b)]. 3.56/3.82 852 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(852,a,560,b)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(852,a,757,b)]. 3.56/3.82 853 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(853,a,560,b)]. 3.56/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(853,a,757,b)]. 3.56/3.85 854 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(854,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -top_str(B). [resolve(854,a,757,b)]. 3.56/3.85 855 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(855,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -top_str(B). [resolve(855,a,757,b)]. 3.56/3.85 856 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(249)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(856,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -top_str(B). [resolve(856,a,757,b)]. 3.56/3.85 857 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | relation(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(857,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | relation(f202(B,A)) | -top_str(B). [resolve(857,a,757,b)]. 3.56/3.85 858 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(858,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(858,a,757,b)]. 3.56/3.85 859 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(859,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(859,a,757,b)]. 3.56/3.85 860 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(860,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -top_str(B). [resolve(860,a,757,b)]. 3.56/3.85 861 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -join_semilatt_str(B). [resolve(861,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -top_str(B). [resolve(861,a,757,b)]. 3.56/3.85 862 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(862,a,560,b)]. 3.56/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -top_str(B). [resolve(862,a,757,b)]. 3.56/3.85 863 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | function(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(863,a,560,b)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | function(f202(B,A)) | -top_str(B). [resolve(863,a,757,b)]. 3.56/3.86 864 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | relation(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(864,a,560,b)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | relation(f202(B,A)) | -top_str(B). [resolve(864,a,757,b)]. 3.56/3.86 865 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(865,a,560,b)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(865,a,757,b)]. 3.56/3.86 866 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(866,a,560,b)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(866,a,757,b)]. 3.56/3.86 867 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(867,a,560,b)]. 3.56/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -top_str(B). [resolve(867,a,757,b)]. 3.56/3.87 868 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -join_semilatt_str(B). [resolve(868,a,560,b)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -top_str(B). [resolve(868,a,757,b)]. 3.56/3.87 869 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(869,a,560,b)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -top_str(B). [resolve(869,a,757,b)]. 3.56/3.87 870 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | function(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(870,a,560,b)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | function(f202(B,A)) | -top_str(B). [resolve(870,a,757,b)]. 3.56/3.87 871 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(871,a,560,b)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f202(B,A)) | -top_str(B). [resolve(871,a,757,b)]. 3.56/3.87 872 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(872,a,560,b)]. 3.56/3.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(872,a,757,b)]. 3.56/3.88 873 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(873,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(873,a,757,b)]. 3.56/3.88 874 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(874,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -top_str(B). [resolve(874,a,757,b)]. 3.56/3.88 875 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -join_semilatt_str(B). [resolve(875,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -top_str(B). [resolve(875,a,757,b)]. 3.56/3.88 876 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(876,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -top_str(B). [resolve(876,a,757,b)]. 3.56/3.88 877 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | function(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(877,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | function(f202(B,A)) | -top_str(B). [resolve(877,a,757,b)]. 3.56/3.88 878 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | relation(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(878,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | relation(f202(B,A)) | -top_str(B). [resolve(878,a,757,b)]. 3.56/3.88 879 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(879,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(879,a,757,b)]. 3.56/3.88 880 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(880,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(880,a,757,b)]. 3.56/3.88 881 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(881,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -top_str(B). [resolve(881,a,757,b)]. 3.56/3.88 882 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -join_semilatt_str(B). [resolve(882,a,560,b)]. 3.56/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -top_str(B). [resolve(882,a,757,b)]. 3.56/3.88 883 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.66/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(883,a,560,b)]. 3.66/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -top_str(B). [resolve(883,a,757,b)]. 3.66/3.91 884 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | function(f202(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(285)]. 3.66/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(884,a,560,b)]. 3.66/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | function(f202(B,A)) | -top_str(B). [resolve(884,a,757,b)]. 3.66/3.91 885 -one_sorted_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)) # label(fc2_pre_topc) # label(axiom). [clausify(294)]. 3.66/3.91 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -join_semilatt_str(A). [resolve(885,a,560,b)]. 3.66/3.91 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -top_str(A). [resolve(885,a,757,b)]. 3.66/3.91 886 empty_carrier(A) | -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B) # label(l40_tops_1) # label(lemma). [clausify(321)]. 3.66/3.91 Derived: empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B) | -join_semilatt_str(A). [resolve(886,b,560,b)]. 3.66/3.91 Derived: empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B) | -top_str(A). [resolve(886,b,757,b)]. 3.66/3.91 887 empty_carrier(A) | -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B) # label(l40_tops_1) # label(lemma). [clausify(321)]. 3.66/3.91 Derived: empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B) | -join_semilatt_str(A). [resolve(887,b,560,b)]. 3.66/3.91 Derived: empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B) | -top_str(A). [resolve(887,b,757,b)]. 3.66/3.91 888 -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)) = B # label(t22_pre_topc) # label(lemma). [clausify(348)]. 3.66/3.91 Derived: -element(A,powerset(the_carrier(B))) | subset_difference(the_carrier(B),cast_as_carrier_subset(B),subset_difference(the_carrier(B),cast_as_carrier_subset(B),A)) = A | -join_semilatt_str(B). [resolve(888,a,560,b)]. 3.66/3.91 Derived: -element(A,powerset(the_carrier(B))) | subset_difference(the_carrier(B),cast_as_carrier_subset(B),subset_difference(the_carrier(B),cast_as_carrier_subset(B),A)) = A | -top_str(B). [resolve(888,a,757,b)]. 3.66/3.91 889 -meet_semilatt_str(A) | one_sorted_str(A) # label(dt_l1_lattices) # label(axiom). [clausify(352)]. 3.66/3.91 Derived: -meet_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(889,b,561,a)]. 3.66/3.91 Derived: -meet_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(889,b,562,a)]. 3.66/3.91 Derived: -meet_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(889,b,563,a)]. 3.66/3.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,564,b)]. 3.66/3.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,565,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,566,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,567,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,568,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,569,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,570,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,571,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,572,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,573,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,574,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(889,b,575,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(889,b,576,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(889,b,577,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(889,b,578,b)]. 3.66/3.92 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(889,b,579,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,580,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,581,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,582,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,583,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,584,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,585,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,586,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,587,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,588,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,589,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,590,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(889,b,591,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(889,b,592,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(889,b,593,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(889,b,594,b)]. 3.66/3.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(889,b,595,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,596,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,597,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,598,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,599,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,600,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,601,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,602,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,603,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,604,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,605,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,606,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,607,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,608,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,609,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,610,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,611,b)]. 3.66/3.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,612,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,613,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,614,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,615,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,616,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,617,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,618,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,619,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,620,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,621,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,622,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,623,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,624,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,625,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,626,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,627,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,628,b)]. 3.66/3.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,629,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,630,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,631,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,632,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,633,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,634,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,635,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(889,b,636,a)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(889,b,637,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(889,b,638,a)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(889,b,639,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(889,b,640,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(889,b,641,a)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | relation(f53(A,B)). [resolve(889,b,642,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | function(f53(A,B)). [resolve(889,b,643,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,644,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,645,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,646,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,647,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,648,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | relation(f53(A,B)). [resolve(889,b,649,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | function(f53(A,B)). [resolve(889,b,650,b)]. 3.66/3.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,651,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,652,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,653,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,654,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(889,b,655,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | relation(f53(A,B)). [resolve(889,b,656,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | function(f53(A,B)). [resolve(889,b,657,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,658,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,659,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,660,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,661,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(889,b,662,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | relation(f53(A,B)). [resolve(889,b,663,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | function(f53(A,B)). [resolve(889,b,664,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,665,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,666,b)]. 3.66/3.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,667,b)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,668,b)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,669,b)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,670,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,671,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,672,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,673,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,674,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,675,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,676,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(889,b,677,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,678,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,679,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,680,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(889,b,681,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,682,a)]. 3.66/3.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,683,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,684,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,685,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,686,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,687,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,688,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,689,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,690,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,691,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,692,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(889,b,693,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,694,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,695,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,696,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(889,b,697,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,698,a)]. 3.76/4.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,699,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,700,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,701,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,702,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,703,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,704,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,705,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,706,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,707,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,708,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(889,b,709,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,710,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,711,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,712,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(889,b,713,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,714,a)]. 3.76/4.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,715,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,716,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,717,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,718,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(889,b,719,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,720,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,721,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,722,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,723,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,724,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | function(f102(A,B)). [resolve(889,b,725,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,726,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,727,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,728,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | function(f102(A,B)). [resolve(889,b,729,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,730,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(889,b,731,a)]. 3.76/4.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,732,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,733,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(889,b,734,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(889,b,735,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,736,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,737,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,738,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(889,b,739,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(889,b,740,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,741,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,742,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,743,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(889,b,744,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(889,b,745,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,746,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,747,a)]. 3.76/4.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,748,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(889,b,749,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(889,b,750,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,751,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,752,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,753,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(889,b,754,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(889,b,755,a)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(889,b,758,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(889,b,759,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(889,b,760,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(889,b,761,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(889,b,762,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(889,b,763,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(889,b,764,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(889,b,765,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(889,b,766,b)]. 3.76/4.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(889,b,767,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(889,b,768,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(889,b,769,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(889,b,770,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(889,b,771,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(889,b,772,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(889,b,773,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(889,b,774,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(889,b,775,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(889,b,776,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(889,b,777,b)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | v3_membered(empty_carrier_subset(A)). [resolve(889,b,778,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | v4_membered(empty_carrier_subset(A)). [resolve(889,b,779,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | v5_membered(empty_carrier_subset(A)). [resolve(889,b,780,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | v2_membered(empty_carrier_subset(A)). [resolve(889,b,781,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | v1_membered(empty_carrier_subset(A)). [resolve(889,b,782,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | empty(empty_carrier_subset(A)). [resolve(889,b,783,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B. [resolve(889,b,784,a)]. 3.76/4.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,785,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,786,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,787,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,788,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,789,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,790,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,791,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,792,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,793,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,794,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,795,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,796,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,797,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,798,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,799,a)]. 3.76/4.07 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,800,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,801,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,802,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,803,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(889,b,804,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(889,b,805,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(889,b,806,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(889,b,807,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(889,b,808,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,809,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,810,a)]. 3.76/4.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,811,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,812,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,813,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,814,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,815,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,816,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,817,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,818,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,819,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,820,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,821,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,822,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,823,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,824,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,825,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,826,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,827,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(889,b,828,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(889,b,829,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(889,b,830,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(889,b,831,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(889,b,832,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,833,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,834,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,835,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,836,a)]. 3.76/4.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,837,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,838,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,839,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,840,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,841,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,842,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,843,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,844,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,845,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,846,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,847,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,848,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,849,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,850,a)]. 3.76/4.11 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,851,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,852,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,853,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,854,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,855,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,856,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | relation(f202(A,B)). [resolve(889,b,857,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,858,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(889,b,859,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(889,b,860,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(889,b,861,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(889,b,862,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | function(f202(A,B)). [resolve(889,b,863,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | relation(f202(A,B)). [resolve(889,b,864,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,865,a)]. 3.88/4.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(889,b,866,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(889,b,867,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(889,b,868,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(889,b,869,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | function(f202(A,B)). [resolve(889,b,870,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f202(A,B)). [resolve(889,b,871,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,872,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(889,b,873,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(889,b,874,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(889,b,875,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(889,b,876,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | function(f202(A,B)). [resolve(889,b,877,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | relation(f202(A,B)). [resolve(889,b,878,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,879,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(889,b,880,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(889,b,881,a)]. 3.88/4.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(889,b,882,a)]. 5.36/5.64 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(889,b,883,a)]. 5.36/5.64 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | function(f202(A,B)). [resolve(889,b,884,a)]. 5.36/5.64 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(889,b,885,a)]. 5.36/5.64 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B). [resolve(889,b,886,b)]. 5.36/5.64 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B). [resolve(889,b,887,b)]. 5.36/5.64 Derived: -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)) = B. [resolve(889,b,888,a)]. 5.36/5.64 890 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B) # label(t13_tops_2) # label(lemma). [clausify(365)]. 5.36/5.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -join_semilatt_str(B). [resolve(890,a,560,b)]. 5.36/5.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -top_str(B). [resolve(890,a,757,b)]. 5.36/5.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -meet_semilatt_str(B). [resolve(890,a,889,b)]. 5.36/5.64 891 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B) # label(t13_tops_2) # label(lemma). [clausify(365)]. 5.36/5.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -join_semilatt_str(B). [resolve(891,a,560,b)]. 5.36/5.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -top_str(B). [resolve(891,a,757,b)]. 5.36/5.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -meet_semilatt_str(B). [resolve(891,a,889,b)]. 5.36/5.64 892 -one_sorted_str(A) | -empty(the_carrier(A)) | empty_carrier(A) # label(d1_struct_0) # label(axiom). [clausify(396)]. 5.36/5.64 893 -one_sorted_str(A) | empty(the_carrier(A)) | -empty_carrier(A) # label(d1_struct_0) # label(axiom). [clausify(396)]. 5.36/5.64 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -join_semilatt_str(A). [resolve(893,a,560,b)]. 5.36/5.64 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -top_str(A). [resolve(893,a,757,b)]. 5.36/5.64 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -meet_semilatt_str(A). [resolve(893,a,889,b)]. 5.36/5.64 894 -rel_str(A) | one_sorted_str(A) # label(dt_l1_orders_2) # label(axiom). [clausify(424)]. 5.36/5.64 Derived: -rel_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(894,b,561,a)]. 5.36/5.64 Derived: -rel_str(A) | empty_carrier_subset(A) = empty_set. [resolve(894,b,562,a)]. 5.36/5.64 Derived: -rel_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(894,b,563,a)]. 5.36/5.64 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,564,b)]. 5.36/5.64 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,565,b)]. 5.36/5.64 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,566,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,567,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,568,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,569,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,570,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,571,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,572,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,573,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,574,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(894,b,575,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(894,b,576,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(894,b,577,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(894,b,578,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(894,b,579,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,580,b)]. 5.36/5.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,581,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,582,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,583,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,584,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,585,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,586,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,587,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,588,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,589,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,590,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(894,b,591,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(894,b,592,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(894,b,593,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(894,b,594,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(894,b,595,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,596,b)]. 5.36/5.66 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,597,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,598,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,599,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,600,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,601,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,602,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,603,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,604,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,605,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,606,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,607,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,608,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,609,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,610,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,611,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,612,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,613,b)]. 5.43/5.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,614,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,615,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,616,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,617,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,618,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,619,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,620,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,621,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,622,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,623,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,624,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,625,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,626,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,627,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,628,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,629,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,630,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,631,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,632,b)]. 5.43/5.68 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,633,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,634,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,635,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(894,b,636,a)]. 5.43/5.70 Derived: -rel_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(894,b,637,b)]. 5.43/5.70 Derived: -rel_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(894,b,638,a)]. 5.43/5.70 Derived: -rel_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(894,b,639,b)]. 5.43/5.70 Derived: -rel_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(894,b,640,b)]. 5.43/5.70 Derived: -rel_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(894,b,641,a)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | relation(f53(A,B)). [resolve(894,b,642,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | function(f53(A,B)). [resolve(894,b,643,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,644,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,645,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,646,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,647,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,648,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | relation(f53(A,B)). [resolve(894,b,649,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | function(f53(A,B)). [resolve(894,b,650,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,651,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,652,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,653,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,654,b)]. 5.43/5.70 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(894,b,655,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | relation(f53(A,B)). [resolve(894,b,656,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | function(f53(A,B)). [resolve(894,b,657,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,658,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,659,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,660,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,661,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(894,b,662,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | relation(f53(A,B)). [resolve(894,b,663,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | function(f53(A,B)). [resolve(894,b,664,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,665,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,666,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,667,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,668,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,669,b)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,670,a)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,671,a)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,672,a)]. 5.43/5.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,673,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,674,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,675,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,676,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(894,b,677,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,678,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,679,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,680,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(894,b,681,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,682,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,683,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,684,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,685,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,686,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,687,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,688,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,689,a)]. 5.43/5.72 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,690,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,691,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,692,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(894,b,693,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,694,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,695,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,696,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(894,b,697,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,698,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,699,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,700,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,701,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,702,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,703,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,704,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,705,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,706,a)]. 5.43/5.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,707,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,708,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(894,b,709,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,710,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,711,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,712,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(894,b,713,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,714,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,715,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,716,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,717,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,718,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(894,b,719,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,720,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,721,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,722,a)]. 5.43/5.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,723,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,724,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | function(f102(A,B)). [resolve(894,b,725,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,726,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,727,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,728,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | function(f102(A,B)). [resolve(894,b,729,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,730,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(894,b,731,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,732,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,733,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(894,b,734,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(894,b,735,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,736,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,737,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,738,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(894,b,739,a)]. 5.43/5.76 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(894,b,740,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,741,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,742,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,743,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(894,b,744,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(894,b,745,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,746,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,747,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,748,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(894,b,749,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(894,b,750,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,751,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,752,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,753,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(894,b,754,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(894,b,755,a)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(894,b,758,b)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(894,b,759,b)]. 5.53/5.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(894,b,760,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(894,b,761,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(894,b,762,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(894,b,763,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(894,b,764,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(894,b,765,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(894,b,766,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(894,b,767,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(894,b,768,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(894,b,769,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(894,b,770,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(894,b,771,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(894,b,772,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(894,b,773,b)]. 5.53/5.79 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(894,b,774,b)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(894,b,775,b)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(894,b,776,b)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(894,b,777,b)]. 5.56/5.80 Derived: -rel_str(A) | v3_membered(empty_carrier_subset(A)). [resolve(894,b,778,a)]. 5.56/5.80 Derived: -rel_str(A) | v4_membered(empty_carrier_subset(A)). [resolve(894,b,779,a)]. 5.56/5.80 Derived: -rel_str(A) | v5_membered(empty_carrier_subset(A)). [resolve(894,b,780,a)]. 5.56/5.80 Derived: -rel_str(A) | v2_membered(empty_carrier_subset(A)). [resolve(894,b,781,a)]. 5.56/5.80 Derived: -rel_str(A) | v1_membered(empty_carrier_subset(A)). [resolve(894,b,782,a)]. 5.56/5.80 Derived: -rel_str(A) | empty(empty_carrier_subset(A)). [resolve(894,b,783,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B. [resolve(894,b,784,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,785,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,786,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,787,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,788,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,789,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,790,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,791,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,792,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,793,a)]. 5.56/5.80 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,794,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,795,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,796,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,797,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,798,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,799,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,800,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,801,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,802,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,803,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(894,b,804,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(894,b,805,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(894,b,806,a)]. 5.56/5.81 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(894,b,807,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(894,b,808,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,809,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,810,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,811,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,812,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,813,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,814,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,815,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,816,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,817,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,818,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,819,a)]. 5.56/5.82 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,820,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,821,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,822,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,823,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,824,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,825,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,826,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,827,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(894,b,828,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(894,b,829,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(894,b,830,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(894,b,831,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(894,b,832,a)]. 5.59/5.83 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,833,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,834,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,835,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,836,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,837,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,838,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,839,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,840,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,841,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,842,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,843,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,844,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,845,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,846,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,847,a)]. 5.59/5.84 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,848,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,849,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,850,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,851,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,852,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,853,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,854,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,855,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,856,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | relation(f202(A,B)). [resolve(894,b,857,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,858,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(894,b,859,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(894,b,860,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(894,b,861,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(894,b,862,a)]. 5.59/5.86 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | function(f202(A,B)). [resolve(894,b,863,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | relation(f202(A,B)). [resolve(894,b,864,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,865,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(894,b,866,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(894,b,867,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(894,b,868,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(894,b,869,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | function(f202(A,B)). [resolve(894,b,870,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f202(A,B)). [resolve(894,b,871,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,872,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(894,b,873,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(894,b,874,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(894,b,875,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(894,b,876,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | function(f202(A,B)). [resolve(894,b,877,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | relation(f202(A,B)). [resolve(894,b,878,a)]. 5.59/5.87 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,879,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(894,b,880,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(894,b,881,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(894,b,882,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(894,b,883,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | function(f202(A,B)). [resolve(894,b,884,a)]. 5.66/5.91 Derived: -rel_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(894,b,885,a)]. 5.66/5.91 Derived: -rel_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B). [resolve(894,b,886,b)]. 5.66/5.91 Derived: -rel_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B). [resolve(894,b,887,b)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)) = B. [resolve(894,b,888,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B). [resolve(894,b,890,a)]. 5.66/5.91 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B). [resolve(894,b,891,a)]. 5.66/5.91 Derived: -rel_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(894,b,893,a)]. 5.66/5.91 895 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(895,b,560,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -top_str(B). [resolve(895,b,757,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(895,b,889,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(895,b,894,b)]. 5.66/5.91 896 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(896,b,560,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(896,b,757,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(896,b,889,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(896,b,894,b)]. 5.66/5.92 897 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(897,b,560,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(897,b,757,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(897,b,889,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(897,b,894,b)]. 5.66/5.92 898 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(898,b,560,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -top_str(B). [resolve(898,b,757,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(898,b,889,b)]. 5.66/5.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(898,b,894,b)]. 5.66/5.92 899 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(899,b,560,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(899,b,757,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(899,b,889,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(899,b,894,b)]. 5.66/5.94 900 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(900,b,560,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(900,b,757,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(900,b,889,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(900,b,894,b)]. 5.66/5.94 901 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(901,b,560,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(901,b,757,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(901,b,889,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(901,b,894,b)]. 5.66/5.95 902 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(902,b,560,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -top_str(B). [resolve(902,b,757,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(902,b,889,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(902,b,894,b)]. 5.66/5.95 903 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(903,b,560,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(903,b,757,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(903,b,889,b)]. 5.66/5.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(903,b,894,b)]. 5.66/5.95 904 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(904,b,560,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(904,b,757,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(904,b,889,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(904,b,894,b)]. 5.66/5.97 905 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(905,b,560,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(905,b,757,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(905,b,889,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(905,b,894,b)]. 5.66/5.97 906 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(906,b,560,b)]. 5.66/5.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(906,b,757,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(906,b,889,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(906,b,894,b)]. 5.75/5.98 907 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(907,b,560,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(907,b,757,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(907,b,889,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(907,b,894,b)]. 5.75/5.98 908 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(908,b,560,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(908,b,757,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(908,b,889,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(908,b,894,b)]. 5.75/5.98 909 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(909,b,560,b)]. 5.75/5.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(909,b,757,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(909,b,889,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(909,b,894,b)]. 5.75/6.00 910 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(910,b,560,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(910,b,757,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(910,b,889,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(910,b,894,b)]. 5.75/6.00 911 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(911,b,560,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -top_str(B). [resolve(911,b,757,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(911,b,889,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(911,b,894,b)]. 5.75/6.00 912 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(912,b,560,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(912,b,757,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(912,b,889,b)]. 5.75/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(912,b,894,b)]. 5.75/6.01 913 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(913,b,560,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(913,b,757,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(913,b,889,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(913,b,894,b)]. 5.75/6.01 914 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(914,b,560,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -top_str(B). [resolve(914,b,757,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(914,b,889,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(914,b,894,b)]. 5.75/6.01 915 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(915,b,560,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(915,b,757,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(915,b,889,b)]. 5.75/6.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(915,b,894,b)]. 5.75/6.01 916 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(916,b,560,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(916,b,757,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(916,b,889,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(916,b,894,b)]. 5.75/6.03 917 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(917,b,560,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(917,b,757,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(917,b,889,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(917,b,894,b)]. 5.75/6.03 918 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(918,b,560,b)]. 5.75/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -top_str(B). [resolve(918,b,757,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(918,b,889,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(918,b,894,b)]. 5.75/6.05 919 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(919,b,560,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(919,b,757,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(919,b,889,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(919,b,894,b)]. 5.75/6.05 920 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(920,b,560,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(920,b,757,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(920,b,889,b)]. 5.75/6.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(920,b,894,b)]. 5.75/6.05 921 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(921,b,560,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(921,b,757,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(921,b,889,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(921,b,894,b)]. 5.75/6.06 922 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(922,b,560,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(922,b,757,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(922,b,889,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(922,b,894,b)]. 5.75/6.06 923 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(923,b,560,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(923,b,757,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(923,b,889,b)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(923,b,894,b)]. 5.75/6.06 924 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(924,b,560,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(924,b,757,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(924,b,889,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(924,b,894,b)]. 5.75/6.08 925 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(925,b,560,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(925,b,757,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(925,b,889,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(925,b,894,b)]. 5.75/6.08 926 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(926,b,560,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(926,b,757,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(926,b,889,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(926,b,894,b)]. 5.75/6.08 927 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(927,b,560,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -top_str(B). [resolve(927,b,757,b)]. 5.75/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(927,b,889,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(927,b,894,b)]. 5.85/6.09 928 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(928,b,560,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(928,b,757,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(928,b,889,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(928,b,894,b)]. 5.85/6.09 929 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(929,b,560,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(929,b,757,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(929,b,889,b)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(929,b,894,b)]. 5.85/6.09 930 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.85/6.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(930,b,560,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -top_str(B). [resolve(930,b,757,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(930,b,889,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(930,b,894,b)]. 5.85/6.11 931 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(931,b,560,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(931,b,757,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(931,b,889,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(931,b,894,b)]. 5.85/6.11 932 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(932,b,560,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(932,b,757,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(932,b,889,b)]. 5.85/6.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(932,b,894,b)]. 5.88/6.12 933 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(933,b,560,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(933,b,757,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(933,b,889,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(933,b,894,b)]. 5.88/6.12 934 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(934,b,560,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -top_str(B). [resolve(934,b,757,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(934,b,889,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(934,b,894,b)]. 5.88/6.12 935 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(935,b,560,b)]. 5.88/6.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(935,b,757,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(935,b,889,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(935,b,894,b)]. 5.89/6.13 936 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(936,b,560,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(936,b,757,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(936,b,889,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(936,b,894,b)]. 5.89/6.13 937 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(937,b,560,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(937,b,757,b)]. 5.89/6.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(937,b,889,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(937,b,894,b)]. 5.89/6.15 938 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(938,b,560,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(938,b,757,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(938,b,889,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(938,b,894,b)]. 5.89/6.15 939 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(939,b,560,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(939,b,757,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(939,b,889,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(939,b,894,b)]. 5.89/6.15 940 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(940,b,560,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(940,b,757,b)]. 5.89/6.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(940,b,889,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(940,b,894,b)]. 5.89/6.16 941 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(941,b,560,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(941,b,757,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(941,b,889,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(941,b,894,b)]. 5.89/6.16 942 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(942,b,560,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(942,b,757,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(942,b,889,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(942,b,894,b)]. 5.89/6.16 943 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(943,b,560,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -top_str(B). [resolve(943,b,757,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(943,b,889,b)]. 5.89/6.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(943,b,894,b)]. 5.89/6.17 944 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(944,b,560,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -top_str(B). [resolve(944,b,757,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(944,b,889,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(944,b,894,b)]. 5.89/6.17 945 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(945,b,560,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(945,b,757,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(945,b,889,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(945,b,894,b)]. 5.89/6.17 946 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(946,b,560,b)]. 5.89/6.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -top_str(B). [resolve(946,b,757,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(946,b,889,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(946,b,894,b)]. 5.89/6.19 947 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(947,b,560,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(947,b,757,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(947,b,889,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(947,b,894,b)]. 5.89/6.19 948 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(948,b,560,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(948,b,757,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(948,b,889,b)]. 5.89/6.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(948,b,894,b)]. 5.89/6.20 949 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(949,b,560,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(949,b,757,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(949,b,889,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(949,b,894,b)]. 5.89/6.20 950 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(950,b,560,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -top_str(B). [resolve(950,b,757,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(950,b,889,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(950,b,894,b)]. 5.89/6.20 951 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(951,b,560,b)]. 5.89/6.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(951,b,757,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(951,b,889,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(951,b,894,b)]. 5.99/6.21 952 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(952,b,560,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(952,b,757,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(952,b,889,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(952,b,894,b)]. 5.99/6.21 953 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(953,b,560,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(953,b,757,b)]. 5.99/6.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(953,b,889,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(953,b,894,b)]. 5.99/6.23 954 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(954,b,560,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(954,b,757,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(954,b,889,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(954,b,894,b)]. 5.99/6.23 955 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(955,b,560,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -top_str(B). [resolve(955,b,757,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(955,b,889,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(955,b,894,b)]. 5.99/6.23 956 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(956,b,560,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -top_str(B). [resolve(956,b,757,b)]. 5.99/6.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(956,b,889,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(956,b,894,b)]. 6.06/6.29 957 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(957,b,560,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -top_str(B). [resolve(957,b,757,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(957,b,889,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(957,b,894,b)]. 6.06/6.29 958 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(433)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(958,b,560,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -top_str(B). [resolve(958,b,757,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(958,b,889,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(958,b,894,b)]. 6.06/6.29 959 one_sorted_str(c27) # label(existence_l1_struct_0) # label(axiom). [clausify(458)]. 6.06/6.29 Derived: cast_as_carrier_subset(c27) = the_carrier(c27). [resolve(959,a,561,a)]. 6.06/6.29 Derived: empty_carrier_subset(c27) = empty_set. [resolve(959,a,562,a)]. 6.06/6.29 Derived: element(cast_as_carrier_subset(c27),powerset(the_carrier(c27))). [resolve(959,a,563,a)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,564,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,565,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,566,b)]. 6.06/6.29 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,567,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,568,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,569,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,570,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f15(c27,A,B),f16(c27,A,B)) = f13(c27,A,B) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,571,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c27,A,C,E,D,F,V6),powerset(the_carrier(c27))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c27,A,C)). [resolve(959,a,572,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c27,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c27,A,C)). [resolve(959,a,573,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c27),f20(c27,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c27,A,C)). [resolve(959,a,574,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | in(f21(c27,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c27,A,C)). [resolve(959,a,575,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | f21(c27,A,C,D) = D | -in(D,f19(c27,A,C)). [resolve(959,a,576,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | -element(D,powerset(the_carrier(c27))) | D != f22(c27,A,C,E) | subset_complement(the_carrier(c27),D) = f23(c27,A,C,E) | -in(E,f19(c27,A,C)). [resolve(959,a,577,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | in(f22(c27,A,C,D),A) | -in(D,f19(c27,A,C)). [resolve(959,a,578,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f15(c27,A,C) | subset_complement(the_carrier(c27),B) = f16(c27,A,C) | ordered_pair(f22(c27,A,C,D),f23(c27,A,C,D)) = D | -in(D,f19(c27,A,C)). [resolve(959,a,579,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,580,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,581,b)]. 6.06/6.30 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,582,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,583,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,584,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,585,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,586,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f15(c27,A,B),A) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,587,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c27,A,C,E,D,F,V6),powerset(the_carrier(c27))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c27,A,C)). [resolve(959,a,588,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c27,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c27,A,C)). [resolve(959,a,589,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c27),f20(c27,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c27,A,C)). [resolve(959,a,590,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | in(f21(c27,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c27,A,C)). [resolve(959,a,591,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | f21(c27,A,C,D) = D | -in(D,f19(c27,A,C)). [resolve(959,a,592,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | -element(D,powerset(the_carrier(c27))) | D != f22(c27,A,C,E) | subset_complement(the_carrier(c27),D) = f23(c27,A,C,E) | -in(E,f19(c27,A,C)). [resolve(959,a,593,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | in(f22(c27,A,C,D),A) | -in(D,f19(c27,A,C)). [resolve(959,a,594,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f17(c27,A,C) | subset_complement(the_carrier(c27),B) = f18(c27,A,C) | ordered_pair(f22(c27,A,C,D),f23(c27,A,C,D)) = D | -in(D,f19(c27,A,C)). [resolve(959,a,595,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,596,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,597,b)]. 6.06/6.31 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,598,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,599,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,600,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,601,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,602,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f17(c27,A,B),A) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,603,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,604,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,605,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,606,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,607,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,608,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,609,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,610,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f17(c27,A,B),f18(c27,A,B)) = f14(c27,A,B) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,611,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,612,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,613,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,614,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,615,b)]. 6.06/6.33 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,616,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,617,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,618,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) = f12(c27,A,B) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,619,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,620,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,621,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,622,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,623,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,624,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,625,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,626,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f13(c27,A,B) = f12(c27,A,B) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,627,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c27,A,B,D,C,E,F),powerset(the_carrier(c27))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,628,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c27,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,629,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c27),f20(c27,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c27,A,B)). [resolve(959,a,630,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | in(f21(c27,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c27,A,B)). [resolve(959,a,631,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | f21(c27,A,B,C) = C | -in(C,f19(c27,A,B)). [resolve(959,a,632,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f22(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f23(c27,A,B,D) | -in(D,f19(c27,A,B)). [resolve(959,a,633,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | in(f22(c27,A,B,C),A) | -in(C,f19(c27,A,B)). [resolve(959,a,634,b)]. 6.06/6.34 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f14(c27,A,B) != f13(c27,A,B) | ordered_pair(f22(c27,A,B,C),f23(c27,A,B,C)) = C | -in(C,f19(c27,A,B)). [resolve(959,a,635,b)]. 6.06/6.34 Derived: -element(A,powerset(the_carrier(c27))) | subset_difference(the_carrier(c27),cast_as_carrier_subset(c27),A) = subset_complement(the_carrier(c27),A). [resolve(959,a,636,a)]. 6.06/6.36 Derived: empty_carrier(c27) | -element(A,powerset(powerset(the_carrier(c27)))) | -is_a_cover_of_carrier(c27,A) | empty_set != A. [resolve(959,a,637,b)]. 6.06/6.36 Derived: element(empty_carrier_subset(c27),powerset(the_carrier(c27))). [resolve(959,a,638,a)]. 6.06/6.36 Derived: empty_carrier(c27) | -empty(f35(c27)). [resolve(959,a,639,b)]. 6.06/6.36 Derived: empty_carrier(c27) | element(f35(c27),powerset(the_carrier(c27))). [resolve(959,a,640,b)]. 6.06/6.36 Derived: empty_carrier(c27) | -empty(the_carrier(c27)). [resolve(959,a,641,a)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | relation(f53(c27,A)). [resolve(959,a,642,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | function(f53(c27,A)). [resolve(959,a,643,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | -in(B,A) | element(f54(c27,A,B,C),powerset(the_carrier(c27))) | in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,644,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | -in(B,A) | f54(c27,A,B,C) = B | in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,645,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | -in(B,A) | subset_complement(the_carrier(c27),f54(c27,A,B,C)) != C | in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,646,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | in(B,A) | -in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,647,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f50(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != C | subset_complement(the_carrier(c27),B) = D | -in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,648,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | relation(f53(c27,A)). [resolve(959,a,649,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | function(f53(c27,A)). [resolve(959,a,650,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | -in(C,A) | element(f54(c27,A,C,D),powerset(the_carrier(c27))) | in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,651,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | -in(C,A) | f54(c27,A,C,D) = C | in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,652,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | -in(C,A) | subset_complement(the_carrier(c27),f54(c27,A,C,D)) != D | in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,653,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | in(C,A) | -in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,654,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f52(c27,A) | -element(C,powerset(the_carrier(c27))) | C != D | subset_complement(the_carrier(c27),C) = E | -in(ordered_pair(D,E),f53(c27,A)). [resolve(959,a,655,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | relation(f53(c27,A)). [resolve(959,a,656,b)]. 6.06/6.36 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | function(f53(c27,A)). [resolve(959,a,657,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | -in(C,A) | element(f54(c27,A,C,D),powerset(the_carrier(c27))) | in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,658,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | -in(C,A) | f54(c27,A,C,D) = C | in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,659,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | -in(C,A) | subset_complement(the_carrier(c27),f54(c27,A,C,D)) != D | in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,660,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | in(C,A) | -in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,661,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f50(c27,A) | subset_complement(the_carrier(c27),B) = f51(c27,A) | -element(C,powerset(the_carrier(c27))) | C != D | subset_complement(the_carrier(c27),C) = E | -in(ordered_pair(D,E),f53(c27,A)). [resolve(959,a,662,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | relation(f53(c27,A)). [resolve(959,a,663,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | function(f53(c27,A)). [resolve(959,a,664,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | -in(B,A) | element(f54(c27,A,B,C),powerset(the_carrier(c27))) | in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,665,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | -in(B,A) | f54(c27,A,B,C) = B | in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,666,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | -in(B,A) | subset_complement(the_carrier(c27),f54(c27,A,B,C)) != C | in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,667,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | in(B,A) | -in(ordered_pair(B,C),f53(c27,A)). [resolve(959,a,668,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f52(c27,A) != f51(c27,A) | -element(B,powerset(the_carrier(c27))) | B != C | subset_complement(the_carrier(c27),B) = D | -in(ordered_pair(C,D),f53(c27,A)). [resolve(959,a,669,b)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | in(f99(c27,A),A) | relation(f102(c27,A)). [resolve(959,a,670,a)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | in(f99(c27,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,671,a)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | in(f99(c27,A),A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,672,a)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | in(f99(c27,A),A) | function(f102(c27,A)). [resolve(959,a,673,a)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,674,a)]. 6.14/6.37 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | -in(D,A) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f102(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,675,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,676,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | function(f102(c27,A)). [resolve(959,a,677,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | relation(f102(c27,A)). [resolve(959,a,678,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | -in(D,A) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f102(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,679,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,680,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | function(f102(c27,A)). [resolve(959,a,681,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | f101(c27,A) != f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,682,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | f101(c27,A) != f100(c27,A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,683,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | f101(c27,A) != f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,684,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f98(c27,A,B),powerset(the_carrier(c27))) | f101(c27,A) != f100(c27,A) | function(f102(c27,A)). [resolve(959,a,685,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | in(f99(c27,A),A) | relation(f102(c27,A)). [resolve(959,a,686,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | in(f99(c27,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,687,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | in(f99(c27,A),A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,688,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | in(f99(c27,A),A) | function(f102(c27,A)). [resolve(959,a,689,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,690,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | -in(D,A) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f102(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,691,a)]. 6.16/6.39 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,692,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | function(f102(c27,A)). [resolve(959,a,693,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | relation(f102(c27,A)). [resolve(959,a,694,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | -in(D,A) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f102(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,695,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,696,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | function(f102(c27,A)). [resolve(959,a,697,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | f101(c27,A) != f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,698,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | f101(c27,A) != f100(c27,A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,699,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | f101(c27,A) != f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,700,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f98(c27,A,B) = f97(c27,A) | f101(c27,A) != f100(c27,A) | function(f102(c27,A)). [resolve(959,a,701,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | in(f99(c27,A),A) | relation(f102(c27,A)). [resolve(959,a,702,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | in(f99(c27,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,703,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | in(f99(c27,A),A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,704,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | in(f99(c27,A),A) | function(f102(c27,A)). [resolve(959,a,705,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,706,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | -in(D,A) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f102(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,707,a)]. 6.16/6.40 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,708,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f100(c27,A) | function(f102(c27,A)). [resolve(959,a,709,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | relation(f102(c27,A)). [resolve(959,a,710,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | -in(D,A) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f102(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,711,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,712,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f99(c27,A) | subset_complement(the_carrier(c27),C) = f101(c27,A) | function(f102(c27,A)). [resolve(959,a,713,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | f101(c27,A) != f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,714,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | f101(c27,A) != f100(c27,A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,715,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | f101(c27,A) != f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,716,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f98(c27,A,B)) != B | f101(c27,A) != f100(c27,A) | function(f102(c27,A)). [resolve(959,a,717,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | in(f99(c27,A),A) | relation(f102(c27,A)). [resolve(959,a,718,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | in(f99(c27,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c27))) | C != B | apply(f102(c27,A),B) = subset_complement(the_carrier(c27),C). [resolve(959,a,719,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | in(f99(c27,A),A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,720,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | in(f99(c27,A),A) | function(f102(c27,A)). [resolve(959,a,721,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,722,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f100(c27,A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,723,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,724,a)]. 6.19/6.42 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f100(c27,A) | function(f102(c27,A)). [resolve(959,a,725,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f101(c27,A) | relation(f102(c27,A)). [resolve(959,a,726,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f101(c27,A) | -in(C,A) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f102(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,727,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f101(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,728,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f99(c27,A) | subset_complement(the_carrier(c27),B) = f101(c27,A) | function(f102(c27,A)). [resolve(959,a,729,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | f101(c27,A) != f100(c27,A) | relation(f102(c27,A)). [resolve(959,a,730,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | f101(c27,A) != f100(c27,A) | -in(B,A) | -element(C,powerset(the_carrier(c27))) | C != B | apply(f102(c27,A),B) = subset_complement(the_carrier(c27),C). [resolve(959,a,731,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | f101(c27,A) != f100(c27,A) | relation_dom(f102(c27,A)) = A. [resolve(959,a,732,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f97(c27,A),A) | f101(c27,A) != f100(c27,A) | function(f102(c27,A)). [resolve(959,a,733,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -is_a_cover_of_carrier(c27,A) | union_of_subsets(the_carrier(c27),A) = cast_as_carrier_subset(c27). [resolve(959,a,734,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | is_a_cover_of_carrier(c27,A) | union_of_subsets(the_carrier(c27),A) != cast_as_carrier_subset(c27). [resolve(959,a,735,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f108(c27,A) | element(f111(c27,A,C,D),powerset(the_carrier(c27))) | -in(D,A) | in(C,f110(c27,A)). [resolve(959,a,736,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f108(c27,A) | f111(c27,A,C,D) = D | -in(D,A) | in(C,f110(c27,A)). [resolve(959,a,737,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f108(c27,A) | subset_complement(the_carrier(c27),f111(c27,A,C,D)) != C | -in(D,A) | in(C,f110(c27,A)). [resolve(959,a,738,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f108(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f112(c27,A,D) | subset_complement(the_carrier(c27),C) = D | -in(D,f110(c27,A)). [resolve(959,a,739,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f108(c27,A) | in(f112(c27,A,C),A) | -in(C,f110(c27,A)). [resolve(959,a,740,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f109(c27,A) | element(f111(c27,A,C,D),powerset(the_carrier(c27))) | -in(D,A) | in(C,f110(c27,A)). [resolve(959,a,741,a)]. 6.20/6.43 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f109(c27,A) | f111(c27,A,C,D) = D | -in(D,A) | in(C,f110(c27,A)). [resolve(959,a,742,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f109(c27,A) | subset_complement(the_carrier(c27),f111(c27,A,C,D)) != C | -in(D,A) | in(C,f110(c27,A)). [resolve(959,a,743,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f109(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f112(c27,A,D) | subset_complement(the_carrier(c27),C) = D | -in(D,f110(c27,A)). [resolve(959,a,744,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f107(c27,A) | subset_complement(the_carrier(c27),B) = f109(c27,A) | in(f112(c27,A,C),A) | -in(C,f110(c27,A)). [resolve(959,a,745,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f107(c27,A),A) | element(f111(c27,A,B,C),powerset(the_carrier(c27))) | -in(C,A) | in(B,f110(c27,A)). [resolve(959,a,746,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f107(c27,A),A) | f111(c27,A,B,C) = C | -in(C,A) | in(B,f110(c27,A)). [resolve(959,a,747,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f107(c27,A),A) | subset_complement(the_carrier(c27),f111(c27,A,B,C)) != B | -in(C,A) | in(B,f110(c27,A)). [resolve(959,a,748,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f107(c27,A),A) | -element(B,powerset(the_carrier(c27))) | B != f112(c27,A,C) | subset_complement(the_carrier(c27),B) = C | -in(C,f110(c27,A)). [resolve(959,a,749,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f107(c27,A),A) | in(f112(c27,A,B),A) | -in(B,f110(c27,A)). [resolve(959,a,750,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f109(c27,A) != f108(c27,A) | element(f111(c27,A,B,C),powerset(the_carrier(c27))) | -in(C,A) | in(B,f110(c27,A)). [resolve(959,a,751,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f109(c27,A) != f108(c27,A) | f111(c27,A,B,C) = C | -in(C,A) | in(B,f110(c27,A)). [resolve(959,a,752,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f109(c27,A) != f108(c27,A) | subset_complement(the_carrier(c27),f111(c27,A,B,C)) != B | -in(C,A) | in(B,f110(c27,A)). [resolve(959,a,753,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f109(c27,A) != f108(c27,A) | -element(B,powerset(the_carrier(c27))) | B != f112(c27,A,C) | subset_complement(the_carrier(c27),B) = C | -in(C,f110(c27,A)). [resolve(959,a,754,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f109(c27,A) != f108(c27,A) | in(f112(c27,A,B),A) | -in(B,f110(c27,A)). [resolve(959,a,755,a)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f130(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | element(f134(c27,A,C,B),powerset(the_carrier(c27))) | in(C,f133(c27,A)). [resolve(959,a,758,b)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f130(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | f134(c27,A,C,B) = B | in(C,f133(c27,A)). [resolve(959,a,759,b)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f130(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f134(c27,A,C,B)) != C | in(C,f133(c27,A)). [resolve(959,a,760,b)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f130(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(f135(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(B,f133(c27,A)). [resolve(959,a,761,b)]. 6.20/6.45 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f130(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f135(c27,A,C) | subset_complement(the_carrier(c27),B) = C | -in(C,f133(c27,A)). [resolve(959,a,762,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f132(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | element(f134(c27,A,D,C),powerset(the_carrier(c27))) | in(D,f133(c27,A)). [resolve(959,a,763,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f132(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | f134(c27,A,D,C) = C | in(D,f133(c27,A)). [resolve(959,a,764,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f132(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f134(c27,A,D,C)) != D | in(D,f133(c27,A)). [resolve(959,a,765,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f132(c27,A) | in(f135(c27,A,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f133(c27,A)). [resolve(959,a,766,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f132(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f135(c27,A,D) | subset_complement(the_carrier(c27),C) = D | -in(D,f133(c27,A)). [resolve(959,a,767,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f131(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | element(f134(c27,A,D,C),powerset(the_carrier(c27))) | in(D,f133(c27,A)). [resolve(959,a,768,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f131(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | f134(c27,A,D,C) = C | in(D,f133(c27,A)). [resolve(959,a,769,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f131(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f134(c27,A,D,C)) != D | in(D,f133(c27,A)). [resolve(959,a,770,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f131(c27,A) | in(f135(c27,A,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f133(c27,A)). [resolve(959,a,771,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f130(c27,A) | subset_complement(the_carrier(c27),B) = f131(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f135(c27,A,D) | subset_complement(the_carrier(c27),C) = D | -in(D,f133(c27,A)). [resolve(959,a,772,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f132(c27,A) != f131(c27,A) | -in(B,complements_of_subsets(the_carrier(c27),A)) | element(f134(c27,A,C,B),powerset(the_carrier(c27))) | in(C,f133(c27,A)). [resolve(959,a,773,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f132(c27,A) != f131(c27,A) | -in(B,complements_of_subsets(the_carrier(c27),A)) | f134(c27,A,C,B) = B | in(C,f133(c27,A)). [resolve(959,a,774,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f132(c27,A) != f131(c27,A) | -in(B,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f134(c27,A,C,B)) != C | in(C,f133(c27,A)). [resolve(959,a,775,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f132(c27,A) != f131(c27,A) | in(f135(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(B,f133(c27,A)). [resolve(959,a,776,b)]. 6.20/6.46 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f132(c27,A) != f131(c27,A) | -element(B,powerset(the_carrier(c27))) | B != f135(c27,A,C) | subset_complement(the_carrier(c27),B) = C | -in(C,f133(c27,A)). [resolve(959,a,777,b)]. 6.20/6.48 Derived: v3_membered(empty_carrier_subset(c27)). [resolve(959,a,778,a)]. 6.20/6.48 Derived: v4_membered(empty_carrier_subset(c27)). [resolve(959,a,779,a)]. 6.20/6.48 Derived: v5_membered(empty_carrier_subset(c27)). [resolve(959,a,780,a)]. 6.20/6.48 Derived: v2_membered(empty_carrier_subset(c27)). [resolve(959,a,781,a)]. 6.20/6.48 Derived: v1_membered(empty_carrier_subset(c27)). [resolve(959,a,782,a)]. 6.20/6.48 Derived: empty(empty_carrier_subset(c27)). [resolve(959,a,783,a)]. 6.20/6.48 Derived: -element(A,powerset(the_carrier(c27))) | subset_intersection2(the_carrier(c27),A,cast_as_carrier_subset(c27)) = A. [resolve(959,a,784,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,785,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,786,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,787,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,788,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,789,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,790,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,791,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f166(c27,A,B) = f165(c27,A,B) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,792,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,793,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,794,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,795,a)]. 6.20/6.48 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,796,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,797,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,798,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,799,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f168(c27,A,B),f169(c27,A,B)) = f166(c27,A,B) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,800,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | ordered_pair(E,F) != V6 | element(f173(c27,A,C,V6,D,E,F),powerset(the_carrier(c27))) | -in(E,complements_of_subsets(the_carrier(c27),A)) | D != V6 | in(V6,f172(c27,A,C)). [resolve(959,a,801,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | ordered_pair(E,F) != V6 | f173(c27,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c27),A)) | D != V6 | in(V6,f172(c27,A,C)). [resolve(959,a,802,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c27),f173(c27,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c27),A)) | D != V6 | in(V6,f172(c27,A,C)). [resolve(959,a,803,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | in(f174(c27,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | -in(D,f172(c27,A,C)). [resolve(959,a,804,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | ordered_pair(f175(c27,A,C,D),f176(c27,A,C,D)) = D | -in(D,f172(c27,A,C)). [resolve(959,a,805,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | -element(D,powerset(the_carrier(c27))) | D != f175(c27,A,C,E) | subset_complement(the_carrier(c27),D) = f176(c27,A,C,E) | -in(E,f172(c27,A,C)). [resolve(959,a,806,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | in(f175(c27,A,C,D),complements_of_subsets(the_carrier(c27),A)) | -in(D,f172(c27,A,C)). [resolve(959,a,807,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f168(c27,A,C) | subset_complement(the_carrier(c27),B) = f169(c27,A,C) | f174(c27,A,C,D) = D | -in(D,f172(c27,A,C)). [resolve(959,a,808,a)]. 6.20/6.49 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,809,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,810,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,811,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,812,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,813,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,814,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,815,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f168(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,816,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,817,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,818,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,819,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,820,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,821,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,822,a)]. 6.20/6.50 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,823,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | ordered_pair(f170(c27,A,B),f171(c27,A,B)) = f167(c27,A,B) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,824,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | ordered_pair(E,F) != V6 | element(f173(c27,A,C,V6,D,E,F),powerset(the_carrier(c27))) | -in(E,complements_of_subsets(the_carrier(c27),A)) | D != V6 | in(V6,f172(c27,A,C)). [resolve(959,a,825,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | ordered_pair(E,F) != V6 | f173(c27,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c27),A)) | D != V6 | in(V6,f172(c27,A,C)). [resolve(959,a,826,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c27),f173(c27,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c27),A)) | D != V6 | in(V6,f172(c27,A,C)). [resolve(959,a,827,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | in(f174(c27,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | -in(D,f172(c27,A,C)). [resolve(959,a,828,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | ordered_pair(f175(c27,A,C,D),f176(c27,A,C,D)) = D | -in(D,f172(c27,A,C)). [resolve(959,a,829,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | -element(D,powerset(the_carrier(c27))) | D != f175(c27,A,C,E) | subset_complement(the_carrier(c27),D) = f176(c27,A,C,E) | -in(E,f172(c27,A,C)). [resolve(959,a,830,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | in(f175(c27,A,C,D),complements_of_subsets(the_carrier(c27),A)) | -in(D,f172(c27,A,C)). [resolve(959,a,831,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f170(c27,A,C) | subset_complement(the_carrier(c27),B) = f171(c27,A,C) | f174(c27,A,C,D) = D | -in(D,f172(c27,A,C)). [resolve(959,a,832,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,833,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,834,a)]. 6.30/6.52 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,835,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,836,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,837,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,838,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,839,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f170(c27,A,B),complements_of_subsets(the_carrier(c27),A)) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,840,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,841,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,842,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,843,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,844,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,845,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,846,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,847,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) = f165(c27,A,B) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,848,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | element(f173(c27,A,B,F,C,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,849,a)]. 6.30/6.53 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | f173(c27,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,850,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c27),f173(c27,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | C != F | in(F,f172(c27,A,B)). [resolve(959,a,851,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | in(f174(c27,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c27),A),B)) | -in(C,f172(c27,A,B)). [resolve(959,a,852,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | ordered_pair(f175(c27,A,B,C),f176(c27,A,B,C)) = C | -in(C,f172(c27,A,B)). [resolve(959,a,853,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | -element(C,powerset(the_carrier(c27))) | C != f175(c27,A,B,D) | subset_complement(the_carrier(c27),C) = f176(c27,A,B,D) | -in(D,f172(c27,A,B)). [resolve(959,a,854,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | in(f175(c27,A,B,C),complements_of_subsets(the_carrier(c27),A)) | -in(C,f172(c27,A,B)). [resolve(959,a,855,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f167(c27,A,B) != f166(c27,A,B) | f174(c27,A,B,C) = C | -in(C,f172(c27,A,B)). [resolve(959,a,856,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | relation(f202(c27,A)). [resolve(959,a,857,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | -in(ordered_pair(C,D),f202(c27,A)) | in(C,complements_of_subsets(the_carrier(c27),A)). [resolve(959,a,858,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | -in(ordered_pair(C,D),f202(c27,A)) | -element(E,powerset(the_carrier(c27))) | E != C | subset_complement(the_carrier(c27),E) = D. [resolve(959,a,859,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | in(ordered_pair(C,D),f202(c27,A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | element(f203(c27,A,C,D),powerset(the_carrier(c27))). [resolve(959,a,860,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | in(ordered_pair(C,D),f202(c27,A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | f203(c27,A,C,D) = C. [resolve(959,a,861,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | in(ordered_pair(C,D),f202(c27,A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f203(c27,A,C,D)) != D. [resolve(959,a,862,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f200(c27,A) | function(f202(c27,A)). [resolve(959,a,863,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | relation(f202(c27,A)). [resolve(959,a,864,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | -in(ordered_pair(C,D),f202(c27,A)) | in(C,complements_of_subsets(the_carrier(c27),A)). [resolve(959,a,865,a)]. 6.30/6.55 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | -in(ordered_pair(C,D),f202(c27,A)) | -element(E,powerset(the_carrier(c27))) | E != C | subset_complement(the_carrier(c27),E) = D. [resolve(959,a,866,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | in(ordered_pair(C,D),f202(c27,A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | element(f203(c27,A,C,D),powerset(the_carrier(c27))). [resolve(959,a,867,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | in(ordered_pair(C,D),f202(c27,A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | f203(c27,A,C,D) = C. [resolve(959,a,868,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | in(ordered_pair(C,D),f202(c27,A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f203(c27,A,C,D)) != D. [resolve(959,a,869,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -element(B,powerset(the_carrier(c27))) | B != f199(c27,A) | subset_complement(the_carrier(c27),B) = f201(c27,A) | function(f202(c27,A)). [resolve(959,a,870,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | relation(f202(c27,A)). [resolve(959,a,871,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(ordered_pair(B,C),f202(c27,A)) | in(B,complements_of_subsets(the_carrier(c27),A)). [resolve(959,a,872,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(ordered_pair(B,C),f202(c27,A)) | -element(D,powerset(the_carrier(c27))) | D != B | subset_complement(the_carrier(c27),D) = C. [resolve(959,a,873,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(ordered_pair(B,C),f202(c27,A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | element(f203(c27,A,B,C),powerset(the_carrier(c27))). [resolve(959,a,874,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(ordered_pair(B,C),f202(c27,A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | f203(c27,A,B,C) = B. [resolve(959,a,875,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(ordered_pair(B,C),f202(c27,A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f203(c27,A,B,C)) != C. [resolve(959,a,876,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f199(c27,A),complements_of_subsets(the_carrier(c27),A)) | function(f202(c27,A)). [resolve(959,a,877,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | relation(f202(c27,A)). [resolve(959,a,878,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | -in(ordered_pair(B,C),f202(c27,A)) | in(B,complements_of_subsets(the_carrier(c27),A)). [resolve(959,a,879,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | -in(ordered_pair(B,C),f202(c27,A)) | -element(D,powerset(the_carrier(c27))) | D != B | subset_complement(the_carrier(c27),D) = C. [resolve(959,a,880,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | in(ordered_pair(B,C),f202(c27,A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | element(f203(c27,A,B,C),powerset(the_carrier(c27))). [resolve(959,a,881,a)]. 6.30/6.56 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | in(ordered_pair(B,C),f202(c27,A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | f203(c27,A,B,C) = B. [resolve(959,a,882,a)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | in(ordered_pair(B,C),f202(c27,A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | subset_complement(the_carrier(c27),f203(c27,A,B,C)) != C. [resolve(959,a,883,a)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f201(c27,A) != f200(c27,A) | function(f202(c27,A)). [resolve(959,a,884,a)]. 6.30/6.58 Derived: empty_carrier(c27) | -empty(cast_as_carrier_subset(c27)). [resolve(959,a,885,a)]. 6.30/6.58 Derived: empty_carrier(c27) | -element(A,powerset(the_carrier(c27))) | -element(B,the_carrier(c27)) | -in(B,subset_complement(the_carrier(c27),A)) | -in(B,A). [resolve(959,a,886,b)]. 6.30/6.58 Derived: empty_carrier(c27) | -element(A,powerset(the_carrier(c27))) | -element(B,the_carrier(c27)) | in(B,subset_complement(the_carrier(c27),A)) | in(B,A). [resolve(959,a,887,b)]. 6.30/6.58 Derived: -element(A,powerset(the_carrier(c27))) | subset_difference(the_carrier(c27),cast_as_carrier_subset(c27),subset_difference(the_carrier(c27),cast_as_carrier_subset(c27),A)) = A. [resolve(959,a,888,a)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -finite(complements_of_subsets(the_carrier(c27),A)) | finite(A). [resolve(959,a,890,a)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | finite(complements_of_subsets(the_carrier(c27),A)) | -finite(A). [resolve(959,a,891,a)]. 6.30/6.58 Derived: empty(the_carrier(c27)) | -empty_carrier(c27). [resolve(959,a,893,a)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | relation(f313(c27,A)). [resolve(959,a,895,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,896,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,897,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | function(f313(c27,A)). [resolve(959,a,898,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | relation(f313(c27,A)). [resolve(959,a,899,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | -in(D,complements_of_subsets(the_carrier(c27),A)) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f313(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,900,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,901,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | function(f313(c27,A)). [resolve(959,a,902,b)]. 6.30/6.58 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,903,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | -in(D,complements_of_subsets(the_carrier(c27),A)) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f313(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,904,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,905,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | function(f313(c27,A)). [resolve(959,a,906,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | f312(c27,A) != f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,907,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | f312(c27,A) != f311(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,908,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | f312(c27,A) != f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,909,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | element(f309(c27,A,B),powerset(the_carrier(c27))) | f312(c27,A) != f311(c27,A) | function(f313(c27,A)). [resolve(959,a,910,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | relation(f313(c27,A)). [resolve(959,a,911,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,912,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,913,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | function(f313(c27,A)). [resolve(959,a,914,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | relation(f313(c27,A)). [resolve(959,a,915,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | -in(D,complements_of_subsets(the_carrier(c27),A)) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f313(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,916,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,917,b)]. 6.30/6.59 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | function(f313(c27,A)). [resolve(959,a,918,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,919,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | -in(D,complements_of_subsets(the_carrier(c27),A)) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f313(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,920,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,921,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | function(f313(c27,A)). [resolve(959,a,922,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | f312(c27,A) != f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,923,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | f312(c27,A) != f311(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,924,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | f312(c27,A) != f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,925,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | f309(c27,A,B) = f308(c27,A) | f312(c27,A) != f311(c27,A) | function(f313(c27,A)). [resolve(959,a,926,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | relation(f313(c27,A)). [resolve(959,a,927,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,928,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,929,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | function(f313(c27,A)). [resolve(959,a,930,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | relation(f313(c27,A)). [resolve(959,a,931,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | -in(D,complements_of_subsets(the_carrier(c27),A)) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f313(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,932,b)]. 6.38/6.61 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,933,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f312(c27,A) | function(f313(c27,A)). [resolve(959,a,934,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,935,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | -in(D,complements_of_subsets(the_carrier(c27),A)) | -element(E,powerset(the_carrier(c27))) | E != D | apply(f313(c27,A),D) = subset_complement(the_carrier(c27),E). [resolve(959,a,936,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,937,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | -element(C,powerset(the_carrier(c27))) | C != f310(c27,A) | subset_complement(the_carrier(c27),C) = f311(c27,A) | function(f313(c27,A)). [resolve(959,a,938,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | f312(c27,A) != f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,939,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | f312(c27,A) != f311(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,940,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | f312(c27,A) != f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,941,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | subset_complement(the_carrier(c27),f309(c27,A,B)) != B | f312(c27,A) != f311(c27,A) | function(f313(c27,A)). [resolve(959,a,942,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | relation(f313(c27,A)). [resolve(959,a,943,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | -in(B,complements_of_subsets(the_carrier(c27),A)) | -element(C,powerset(the_carrier(c27))) | C != B | apply(f313(c27,A),B) = subset_complement(the_carrier(c27),C). [resolve(959,a,944,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,945,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | in(f310(c27,A),complements_of_subsets(the_carrier(c27),A)) | function(f313(c27,A)). [resolve(959,a,946,b)]. 6.38/6.62 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f312(c27,A) | relation(f313(c27,A)). [resolve(959,a,947,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f312(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,948,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f312(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,949,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f312(c27,A) | function(f313(c27,A)). [resolve(959,a,950,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,951,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f311(c27,A) | -in(C,complements_of_subsets(the_carrier(c27),A)) | -element(D,powerset(the_carrier(c27))) | D != C | apply(f313(c27,A),C) = subset_complement(the_carrier(c27),D). [resolve(959,a,952,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,953,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | -element(B,powerset(the_carrier(c27))) | B != f310(c27,A) | subset_complement(the_carrier(c27),B) = f311(c27,A) | function(f313(c27,A)). [resolve(959,a,954,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | f312(c27,A) != f311(c27,A) | relation(f313(c27,A)). [resolve(959,a,955,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | f312(c27,A) != f311(c27,A) | -in(B,complements_of_subsets(the_carrier(c27),A)) | -element(C,powerset(the_carrier(c27))) | C != B | apply(f313(c27,A),B) = subset_complement(the_carrier(c27),C). [resolve(959,a,956,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | f312(c27,A) != f311(c27,A) | complements_of_subsets(the_carrier(c27),A) = relation_dom(f313(c27,A)). [resolve(959,a,957,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(f308(c27,A),complements_of_subsets(the_carrier(c27),A)) | f312(c27,A) != f311(c27,A) | function(f313(c27,A)). [resolve(959,a,958,b)]. 6.50/6.72 960 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(960,b,560,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(960,b,757,b)]. 6.50/6.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(960,b,889,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(960,b,894,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f350(c27,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)). [resolve(960,b,959,a)]. 6.50/6.74 961 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -join_semilatt_str(B). [resolve(961,b,560,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -top_str(B). [resolve(961,b,757,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -meet_semilatt_str(B). [resolve(961,b,889,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -rel_str(B). [resolve(961,b,894,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f350(c27,A,C)) | -element(D,powerset(the_carrier(c27))) | D != f351(c27,A,C,B) | subset_complement(the_carrier(c27),D) = f352(c27,A,C,B). [resolve(961,b,959,a)]. 6.50/6.74 962 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(962,b,560,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(962,b,757,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(962,b,889,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(962,b,894,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f350(c27,A,C)) | in(f351(c27,A,C,B),complements_of_subsets(the_carrier(c27),A)). [resolve(962,b,959,a)]. 6.50/6.74 963 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -join_semilatt_str(B). [resolve(963,b,560,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -top_str(B). [resolve(963,b,757,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -meet_semilatt_str(B). [resolve(963,b,889,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -rel_str(B). [resolve(963,b,894,b)]. 6.50/6.74 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f350(c27,A,C)) | ordered_pair(f351(c27,A,C,B),f352(c27,A,C,B)) = B. [resolve(963,b,959,a)]. 6.50/6.75 964 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -join_semilatt_str(B). [resolve(964,b,560,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -top_str(B). [resolve(964,b,757,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -meet_semilatt_str(B). [resolve(964,b,889,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -rel_str(B). [resolve(964,b,894,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(B,f350(c27,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | element(f353(c27,A,C,B,D,E),powerset(the_carrier(c27))) | -in(D,complements_of_subsets(the_carrier(c27),A)) | ordered_pair(D,E) != B. [resolve(964,b,959,a)]. 6.50/6.75 965 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -join_semilatt_str(B). [resolve(965,b,560,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -top_str(B). [resolve(965,b,757,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -meet_semilatt_str(B). [resolve(965,b,889,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -rel_str(B). [resolve(965,b,894,b)]. 6.50/6.75 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(B,f350(c27,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | f353(c27,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c27),A)) | ordered_pair(D,E) != B. [resolve(965,b,959,a)]. 6.50/6.75 966 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(486)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -join_semilatt_str(B). [resolve(966,b,560,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -top_str(B). [resolve(966,b,757,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -meet_semilatt_str(B). [resolve(966,b,889,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -rel_str(B). [resolve(966,b,894,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(B,f350(c27,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c27),A),C)) | subset_complement(the_carrier(c27),f353(c27,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c27),A)) | ordered_pair(D,E) != B. [resolve(966,b,959,a)]. 6.58/6.87 967 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -join_semilatt_str(B). [resolve(967,b,560,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -top_str(B). [resolve(967,b,757,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -meet_semilatt_str(B). [resolve(967,b,889,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -rel_str(B). [resolve(967,b,894,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f376(c27,A,C)) | ordered_pair(f377(c27,A,C,B),f378(c27,A,C,B)) = B. [resolve(967,b,959,a)]. 6.58/6.87 968 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -join_semilatt_str(B). [resolve(968,b,560,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -top_str(B). [resolve(968,b,757,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -meet_semilatt_str(B). [resolve(968,b,889,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -rel_str(B). [resolve(968,b,894,b)]. 6.58/6.87 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f376(c27,A,C)) | -element(D,powerset(the_carrier(c27))) | D != f377(c27,A,C,B) | subset_complement(the_carrier(c27),D) = f378(c27,A,C,B). [resolve(968,b,959,a)]. 6.67/6.90 969 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -join_semilatt_str(B). [resolve(969,b,560,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -top_str(B). [resolve(969,b,757,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -meet_semilatt_str(B). [resolve(969,b,889,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -rel_str(B). [resolve(969,b,894,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f376(c27,A,C)) | in(f377(c27,A,C,B),A). [resolve(969,b,959,a)]. 6.67/6.90 970 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(970,b,560,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -top_str(B). [resolve(970,b,757,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(970,b,889,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(970,b,894,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | -in(B,f376(c27,A,C)) | in(B,cartesian_product2(A,C)). [resolve(970,b,959,a)]. 6.67/6.90 971 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(971,b,560,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -top_str(B). [resolve(971,b,757,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(971,b,889,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(971,b,894,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(B,f376(c27,A,C)) | ordered_pair(D,E) != B | element(f379(c27,A,C,B,D,E),powerset(the_carrier(c27))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(971,b,959,a)]. 6.67/6.90 972 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(972,b,560,b)]. 6.67/6.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -top_str(B). [resolve(972,b,757,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(972,b,889,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(972,b,894,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(B,f376(c27,A,C)) | ordered_pair(D,E) != B | f379(c27,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(972,b,959,a)]. 6.67/6.92 973 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(525)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(973,b,560,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -top_str(B). [resolve(973,b,757,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(973,b,889,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(973,b,894,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c27)))) | in(B,f376(c27,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c27),f379(c27,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(973,b,959,a)]. 6.67/6.92 974 one_sorted_str(c30) # label(rc3_struct_0) # label(axiom). [clausify(526)]. 6.67/6.92 Derived: cast_as_carrier_subset(c30) = the_carrier(c30). [resolve(974,a,561,a)]. 6.67/6.92 Derived: empty_carrier_subset(c30) = empty_set. [resolve(974,a,562,a)]. 6.67/6.92 Derived: element(cast_as_carrier_subset(c30),powerset(the_carrier(c30))). [resolve(974,a,563,a)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,564,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,565,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,566,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,567,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,568,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,569,b)]. 6.67/6.92 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,570,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f15(c30,A,B),f16(c30,A,B)) = f13(c30,A,B) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,571,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c30,A,C,E,D,F,V6),powerset(the_carrier(c30))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c30,A,C)). [resolve(974,a,572,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c30,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c30,A,C)). [resolve(974,a,573,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c30),f20(c30,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c30,A,C)). [resolve(974,a,574,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | in(f21(c30,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c30,A,C)). [resolve(974,a,575,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | f21(c30,A,C,D) = D | -in(D,f19(c30,A,C)). [resolve(974,a,576,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | -element(D,powerset(the_carrier(c30))) | D != f22(c30,A,C,E) | subset_complement(the_carrier(c30),D) = f23(c30,A,C,E) | -in(E,f19(c30,A,C)). [resolve(974,a,577,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | in(f22(c30,A,C,D),A) | -in(D,f19(c30,A,C)). [resolve(974,a,578,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f15(c30,A,C) | subset_complement(the_carrier(c30),B) = f16(c30,A,C) | ordered_pair(f22(c30,A,C,D),f23(c30,A,C,D)) = D | -in(D,f19(c30,A,C)). [resolve(974,a,579,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,580,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,581,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,582,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,583,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,584,b)]. 6.67/6.94 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,585,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,586,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f15(c30,A,B),A) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,587,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c30,A,C,E,D,F,V6),powerset(the_carrier(c30))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c30,A,C)). [resolve(974,a,588,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c30,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c30,A,C)). [resolve(974,a,589,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c30),f20(c30,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c30,A,C)). [resolve(974,a,590,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | in(f21(c30,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c30,A,C)). [resolve(974,a,591,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | f21(c30,A,C,D) = D | -in(D,f19(c30,A,C)). [resolve(974,a,592,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | -element(D,powerset(the_carrier(c30))) | D != f22(c30,A,C,E) | subset_complement(the_carrier(c30),D) = f23(c30,A,C,E) | -in(E,f19(c30,A,C)). [resolve(974,a,593,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | in(f22(c30,A,C,D),A) | -in(D,f19(c30,A,C)). [resolve(974,a,594,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f17(c30,A,C) | subset_complement(the_carrier(c30),B) = f18(c30,A,C) | ordered_pair(f22(c30,A,C,D),f23(c30,A,C,D)) = D | -in(D,f19(c30,A,C)). [resolve(974,a,595,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,596,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,597,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,598,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,599,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,600,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,601,b)]. 6.67/6.96 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,602,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f17(c30,A,B),A) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,603,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,604,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,605,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,606,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,607,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,608,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,609,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,610,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f17(c30,A,B),f18(c30,A,B)) = f14(c30,A,B) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,611,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,612,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,613,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,614,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,615,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,616,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,617,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,618,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) = f12(c30,A,B) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,619,b)]. 6.67/6.97 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,620,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,621,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,622,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,623,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,624,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,625,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,626,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f13(c30,A,B) = f12(c30,A,B) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,627,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c30,A,B,D,C,E,F),powerset(the_carrier(c30))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,628,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c30,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,629,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c30),f20(c30,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c30,A,B)). [resolve(974,a,630,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | in(f21(c30,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c30,A,B)). [resolve(974,a,631,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | f21(c30,A,B,C) = C | -in(C,f19(c30,A,B)). [resolve(974,a,632,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f22(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f23(c30,A,B,D) | -in(D,f19(c30,A,B)). [resolve(974,a,633,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | in(f22(c30,A,B,C),A) | -in(C,f19(c30,A,B)). [resolve(974,a,634,b)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f14(c30,A,B) != f13(c30,A,B) | ordered_pair(f22(c30,A,B,C),f23(c30,A,B,C)) = C | -in(C,f19(c30,A,B)). [resolve(974,a,635,b)]. 6.77/6.99 Derived: -element(A,powerset(the_carrier(c30))) | subset_difference(the_carrier(c30),cast_as_carrier_subset(c30),A) = subset_complement(the_carrier(c30),A). [resolve(974,a,636,a)]. 6.77/6.99 Derived: empty_carrier(c30) | -element(A,powerset(powerset(the_carrier(c30)))) | -is_a_cover_of_carrier(c30,A) | empty_set != A. [resolve(974,a,637,b)]. 6.77/6.99 Derived: element(empty_carrier_subset(c30),powerset(the_carrier(c30))). [resolve(974,a,638,a)]. 6.77/6.99 Derived: empty_carrier(c30) | -empty(f35(c30)). [resolve(974,a,639,b)]. 6.77/6.99 Derived: empty_carrier(c30) | element(f35(c30),powerset(the_carrier(c30))). [resolve(974,a,640,b)]. 6.77/6.99 Derived: empty_carrier(c30) | -empty(the_carrier(c30)). [resolve(974,a,641,a)]. 6.77/6.99 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | relation(f53(c30,A)). [resolve(974,a,642,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | function(f53(c30,A)). [resolve(974,a,643,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | -in(B,A) | element(f54(c30,A,B,C),powerset(the_carrier(c30))) | in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,644,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | -in(B,A) | f54(c30,A,B,C) = B | in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,645,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | -in(B,A) | subset_complement(the_carrier(c30),f54(c30,A,B,C)) != C | in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,646,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | in(B,A) | -in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,647,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f50(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != C | subset_complement(the_carrier(c30),B) = D | -in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,648,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | relation(f53(c30,A)). [resolve(974,a,649,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | function(f53(c30,A)). [resolve(974,a,650,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | -in(C,A) | element(f54(c30,A,C,D),powerset(the_carrier(c30))) | in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,651,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | -in(C,A) | f54(c30,A,C,D) = C | in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,652,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | -in(C,A) | subset_complement(the_carrier(c30),f54(c30,A,C,D)) != D | in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,653,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | in(C,A) | -in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,654,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f52(c30,A) | -element(C,powerset(the_carrier(c30))) | C != D | subset_complement(the_carrier(c30),C) = E | -in(ordered_pair(D,E),f53(c30,A)). [resolve(974,a,655,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | relation(f53(c30,A)). [resolve(974,a,656,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | function(f53(c30,A)). [resolve(974,a,657,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | -in(C,A) | element(f54(c30,A,C,D),powerset(the_carrier(c30))) | in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,658,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | -in(C,A) | f54(c30,A,C,D) = C | in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,659,b)]. 6.78/7.01 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | -in(C,A) | subset_complement(the_carrier(c30),f54(c30,A,C,D)) != D | in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,660,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | in(C,A) | -in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,661,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f50(c30,A) | subset_complement(the_carrier(c30),B) = f51(c30,A) | -element(C,powerset(the_carrier(c30))) | C != D | subset_complement(the_carrier(c30),C) = E | -in(ordered_pair(D,E),f53(c30,A)). [resolve(974,a,662,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | relation(f53(c30,A)). [resolve(974,a,663,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | function(f53(c30,A)). [resolve(974,a,664,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | -in(B,A) | element(f54(c30,A,B,C),powerset(the_carrier(c30))) | in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,665,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | -in(B,A) | f54(c30,A,B,C) = B | in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,666,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | -in(B,A) | subset_complement(the_carrier(c30),f54(c30,A,B,C)) != C | in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,667,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | in(B,A) | -in(ordered_pair(B,C),f53(c30,A)). [resolve(974,a,668,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f52(c30,A) != f51(c30,A) | -element(B,powerset(the_carrier(c30))) | B != C | subset_complement(the_carrier(c30),B) = D | -in(ordered_pair(C,D),f53(c30,A)). [resolve(974,a,669,b)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | in(f99(c30,A),A) | relation(f102(c30,A)). [resolve(974,a,670,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | in(f99(c30,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,671,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | in(f99(c30,A),A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,672,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | in(f99(c30,A),A) | function(f102(c30,A)). [resolve(974,a,673,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,674,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | -in(D,A) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f102(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,675,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,676,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | function(f102(c30,A)). [resolve(974,a,677,a)]. 6.79/7.03 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | relation(f102(c30,A)). [resolve(974,a,678,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | -in(D,A) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f102(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,679,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,680,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | function(f102(c30,A)). [resolve(974,a,681,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | f101(c30,A) != f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,682,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | f101(c30,A) != f100(c30,A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,683,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | f101(c30,A) != f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,684,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f98(c30,A,B),powerset(the_carrier(c30))) | f101(c30,A) != f100(c30,A) | function(f102(c30,A)). [resolve(974,a,685,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | in(f99(c30,A),A) | relation(f102(c30,A)). [resolve(974,a,686,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | in(f99(c30,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,687,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | in(f99(c30,A),A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,688,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | in(f99(c30,A),A) | function(f102(c30,A)). [resolve(974,a,689,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,690,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | -in(D,A) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f102(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,691,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,692,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | function(f102(c30,A)). [resolve(974,a,693,a)]. 6.79/7.04 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | relation(f102(c30,A)). [resolve(974,a,694,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | -in(D,A) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f102(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,695,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,696,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | function(f102(c30,A)). [resolve(974,a,697,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | f101(c30,A) != f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,698,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | f101(c30,A) != f100(c30,A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,699,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | f101(c30,A) != f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,700,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f98(c30,A,B) = f97(c30,A) | f101(c30,A) != f100(c30,A) | function(f102(c30,A)). [resolve(974,a,701,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | in(f99(c30,A),A) | relation(f102(c30,A)). [resolve(974,a,702,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | in(f99(c30,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,703,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | in(f99(c30,A),A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,704,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | in(f99(c30,A),A) | function(f102(c30,A)). [resolve(974,a,705,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,706,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | -in(D,A) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f102(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,707,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,708,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f100(c30,A) | function(f102(c30,A)). [resolve(974,a,709,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | relation(f102(c30,A)). [resolve(974,a,710,a)]. 6.79/7.06 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | -in(D,A) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f102(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,711,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,712,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f99(c30,A) | subset_complement(the_carrier(c30),C) = f101(c30,A) | function(f102(c30,A)). [resolve(974,a,713,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | f101(c30,A) != f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,714,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | f101(c30,A) != f100(c30,A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,715,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | f101(c30,A) != f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,716,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f98(c30,A,B)) != B | f101(c30,A) != f100(c30,A) | function(f102(c30,A)). [resolve(974,a,717,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | in(f99(c30,A),A) | relation(f102(c30,A)). [resolve(974,a,718,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | in(f99(c30,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c30))) | C != B | apply(f102(c30,A),B) = subset_complement(the_carrier(c30),C). [resolve(974,a,719,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | in(f99(c30,A),A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,720,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | in(f99(c30,A),A) | function(f102(c30,A)). [resolve(974,a,721,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,722,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f100(c30,A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,723,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,724,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f100(c30,A) | function(f102(c30,A)). [resolve(974,a,725,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f101(c30,A) | relation(f102(c30,A)). [resolve(974,a,726,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f101(c30,A) | -in(C,A) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f102(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,727,a)]. 6.79/7.08 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f101(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,728,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f99(c30,A) | subset_complement(the_carrier(c30),B) = f101(c30,A) | function(f102(c30,A)). [resolve(974,a,729,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | f101(c30,A) != f100(c30,A) | relation(f102(c30,A)). [resolve(974,a,730,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | f101(c30,A) != f100(c30,A) | -in(B,A) | -element(C,powerset(the_carrier(c30))) | C != B | apply(f102(c30,A),B) = subset_complement(the_carrier(c30),C). [resolve(974,a,731,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | f101(c30,A) != f100(c30,A) | relation_dom(f102(c30,A)) = A. [resolve(974,a,732,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f97(c30,A),A) | f101(c30,A) != f100(c30,A) | function(f102(c30,A)). [resolve(974,a,733,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -is_a_cover_of_carrier(c30,A) | union_of_subsets(the_carrier(c30),A) = cast_as_carrier_subset(c30). [resolve(974,a,734,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | is_a_cover_of_carrier(c30,A) | union_of_subsets(the_carrier(c30),A) != cast_as_carrier_subset(c30). [resolve(974,a,735,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f108(c30,A) | element(f111(c30,A,C,D),powerset(the_carrier(c30))) | -in(D,A) | in(C,f110(c30,A)). [resolve(974,a,736,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f108(c30,A) | f111(c30,A,C,D) = D | -in(D,A) | in(C,f110(c30,A)). [resolve(974,a,737,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f108(c30,A) | subset_complement(the_carrier(c30),f111(c30,A,C,D)) != C | -in(D,A) | in(C,f110(c30,A)). [resolve(974,a,738,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f108(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f112(c30,A,D) | subset_complement(the_carrier(c30),C) = D | -in(D,f110(c30,A)). [resolve(974,a,739,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f108(c30,A) | in(f112(c30,A,C),A) | -in(C,f110(c30,A)). [resolve(974,a,740,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f109(c30,A) | element(f111(c30,A,C,D),powerset(the_carrier(c30))) | -in(D,A) | in(C,f110(c30,A)). [resolve(974,a,741,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f109(c30,A) | f111(c30,A,C,D) = D | -in(D,A) | in(C,f110(c30,A)). [resolve(974,a,742,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f109(c30,A) | subset_complement(the_carrier(c30),f111(c30,A,C,D)) != C | -in(D,A) | in(C,f110(c30,A)). [resolve(974,a,743,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f109(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f112(c30,A,D) | subset_complement(the_carrier(c30),C) = D | -in(D,f110(c30,A)). [resolve(974,a,744,a)]. 6.79/7.10 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f107(c30,A) | subset_complement(the_carrier(c30),B) = f109(c30,A) | in(f112(c30,A,C),A) | -in(C,f110(c30,A)). [resolve(974,a,745,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f107(c30,A),A) | element(f111(c30,A,B,C),powerset(the_carrier(c30))) | -in(C,A) | in(B,f110(c30,A)). [resolve(974,a,746,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f107(c30,A),A) | f111(c30,A,B,C) = C | -in(C,A) | in(B,f110(c30,A)). [resolve(974,a,747,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f107(c30,A),A) | subset_complement(the_carrier(c30),f111(c30,A,B,C)) != B | -in(C,A) | in(B,f110(c30,A)). [resolve(974,a,748,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f107(c30,A),A) | -element(B,powerset(the_carrier(c30))) | B != f112(c30,A,C) | subset_complement(the_carrier(c30),B) = C | -in(C,f110(c30,A)). [resolve(974,a,749,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f107(c30,A),A) | in(f112(c30,A,B),A) | -in(B,f110(c30,A)). [resolve(974,a,750,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f109(c30,A) != f108(c30,A) | element(f111(c30,A,B,C),powerset(the_carrier(c30))) | -in(C,A) | in(B,f110(c30,A)). [resolve(974,a,751,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f109(c30,A) != f108(c30,A) | f111(c30,A,B,C) = C | -in(C,A) | in(B,f110(c30,A)). [resolve(974,a,752,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f109(c30,A) != f108(c30,A) | subset_complement(the_carrier(c30),f111(c30,A,B,C)) != B | -in(C,A) | in(B,f110(c30,A)). [resolve(974,a,753,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f109(c30,A) != f108(c30,A) | -element(B,powerset(the_carrier(c30))) | B != f112(c30,A,C) | subset_complement(the_carrier(c30),B) = C | -in(C,f110(c30,A)). [resolve(974,a,754,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f109(c30,A) != f108(c30,A) | in(f112(c30,A,B),A) | -in(B,f110(c30,A)). [resolve(974,a,755,a)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f130(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | element(f134(c30,A,C,B),powerset(the_carrier(c30))) | in(C,f133(c30,A)). [resolve(974,a,758,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f130(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | f134(c30,A,C,B) = B | in(C,f133(c30,A)). [resolve(974,a,759,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f130(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f134(c30,A,C,B)) != C | in(C,f133(c30,A)). [resolve(974,a,760,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f130(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(f135(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(B,f133(c30,A)). [resolve(974,a,761,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f130(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f135(c30,A,C) | subset_complement(the_carrier(c30),B) = C | -in(C,f133(c30,A)). [resolve(974,a,762,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f132(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | element(f134(c30,A,D,C),powerset(the_carrier(c30))) | in(D,f133(c30,A)). [resolve(974,a,763,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f132(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | f134(c30,A,D,C) = C | in(D,f133(c30,A)). [resolve(974,a,764,b)]. 6.89/7.11 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f132(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f134(c30,A,D,C)) != D | in(D,f133(c30,A)). [resolve(974,a,765,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f132(c30,A) | in(f135(c30,A,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f133(c30,A)). [resolve(974,a,766,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f132(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f135(c30,A,D) | subset_complement(the_carrier(c30),C) = D | -in(D,f133(c30,A)). [resolve(974,a,767,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f131(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | element(f134(c30,A,D,C),powerset(the_carrier(c30))) | in(D,f133(c30,A)). [resolve(974,a,768,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f131(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | f134(c30,A,D,C) = C | in(D,f133(c30,A)). [resolve(974,a,769,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f131(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f134(c30,A,D,C)) != D | in(D,f133(c30,A)). [resolve(974,a,770,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f131(c30,A) | in(f135(c30,A,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f133(c30,A)). [resolve(974,a,771,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f130(c30,A) | subset_complement(the_carrier(c30),B) = f131(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f135(c30,A,D) | subset_complement(the_carrier(c30),C) = D | -in(D,f133(c30,A)). [resolve(974,a,772,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f132(c30,A) != f131(c30,A) | -in(B,complements_of_subsets(the_carrier(c30),A)) | element(f134(c30,A,C,B),powerset(the_carrier(c30))) | in(C,f133(c30,A)). [resolve(974,a,773,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f132(c30,A) != f131(c30,A) | -in(B,complements_of_subsets(the_carrier(c30),A)) | f134(c30,A,C,B) = B | in(C,f133(c30,A)). [resolve(974,a,774,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f132(c30,A) != f131(c30,A) | -in(B,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f134(c30,A,C,B)) != C | in(C,f133(c30,A)). [resolve(974,a,775,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f132(c30,A) != f131(c30,A) | in(f135(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(B,f133(c30,A)). [resolve(974,a,776,b)]. 6.89/7.13 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f132(c30,A) != f131(c30,A) | -element(B,powerset(the_carrier(c30))) | B != f135(c30,A,C) | subset_complement(the_carrier(c30),B) = C | -in(C,f133(c30,A)). [resolve(974,a,777,b)]. 6.89/7.13 Derived: v3_membered(empty_carrier_subset(c30)). [resolve(974,a,778,a)]. 6.89/7.13 Derived: v4_membered(empty_carrier_subset(c30)). [resolve(974,a,779,a)]. 6.89/7.13 Derived: v5_membered(empty_carrier_subset(c30)). [resolve(974,a,780,a)]. 6.89/7.13 Derived: v2_membered(empty_carrier_subset(c30)). [resolve(974,a,781,a)]. 6.89/7.13 Derived: v1_membered(empty_carrier_subset(c30)). [resolve(974,a,782,a)]. 6.89/7.13 Derived: empty(empty_carrier_subset(c30)). [resolve(974,a,783,a)]. 6.89/7.13 Derived: -element(A,powerset(the_carrier(c30))) | subset_intersection2(the_carrier(c30),A,cast_as_carrier_subset(c30)) = A. [resolve(974,a,784,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,785,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,786,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,787,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,788,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,789,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,790,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,791,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f166(c30,A,B) = f165(c30,A,B) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,792,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,793,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,794,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,795,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,796,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,797,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,798,a)]. 6.89/7.15 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,799,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f168(c30,A,B),f169(c30,A,B)) = f166(c30,A,B) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,800,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | ordered_pair(E,F) != V6 | element(f173(c30,A,C,V6,D,E,F),powerset(the_carrier(c30))) | -in(E,complements_of_subsets(the_carrier(c30),A)) | D != V6 | in(V6,f172(c30,A,C)). [resolve(974,a,801,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | ordered_pair(E,F) != V6 | f173(c30,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c30),A)) | D != V6 | in(V6,f172(c30,A,C)). [resolve(974,a,802,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c30),f173(c30,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c30),A)) | D != V6 | in(V6,f172(c30,A,C)). [resolve(974,a,803,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | in(f174(c30,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | -in(D,f172(c30,A,C)). [resolve(974,a,804,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | ordered_pair(f175(c30,A,C,D),f176(c30,A,C,D)) = D | -in(D,f172(c30,A,C)). [resolve(974,a,805,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | -element(D,powerset(the_carrier(c30))) | D != f175(c30,A,C,E) | subset_complement(the_carrier(c30),D) = f176(c30,A,C,E) | -in(E,f172(c30,A,C)). [resolve(974,a,806,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | in(f175(c30,A,C,D),complements_of_subsets(the_carrier(c30),A)) | -in(D,f172(c30,A,C)). [resolve(974,a,807,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f168(c30,A,C) | subset_complement(the_carrier(c30),B) = f169(c30,A,C) | f174(c30,A,C,D) = D | -in(D,f172(c30,A,C)). [resolve(974,a,808,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,809,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,810,a)]. 6.89/7.16 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,811,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,812,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,813,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,814,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,815,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f168(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,816,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,817,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,818,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,819,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,820,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,821,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,822,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,823,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | ordered_pair(f170(c30,A,B),f171(c30,A,B)) = f167(c30,A,B) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,824,a)]. 6.89/7.18 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | ordered_pair(E,F) != V6 | element(f173(c30,A,C,V6,D,E,F),powerset(the_carrier(c30))) | -in(E,complements_of_subsets(the_carrier(c30),A)) | D != V6 | in(V6,f172(c30,A,C)). [resolve(974,a,825,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | ordered_pair(E,F) != V6 | f173(c30,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c30),A)) | D != V6 | in(V6,f172(c30,A,C)). [resolve(974,a,826,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c30),f173(c30,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c30),A)) | D != V6 | in(V6,f172(c30,A,C)). [resolve(974,a,827,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | in(f174(c30,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | -in(D,f172(c30,A,C)). [resolve(974,a,828,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | ordered_pair(f175(c30,A,C,D),f176(c30,A,C,D)) = D | -in(D,f172(c30,A,C)). [resolve(974,a,829,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | -element(D,powerset(the_carrier(c30))) | D != f175(c30,A,C,E) | subset_complement(the_carrier(c30),D) = f176(c30,A,C,E) | -in(E,f172(c30,A,C)). [resolve(974,a,830,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | in(f175(c30,A,C,D),complements_of_subsets(the_carrier(c30),A)) | -in(D,f172(c30,A,C)). [resolve(974,a,831,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f170(c30,A,C) | subset_complement(the_carrier(c30),B) = f171(c30,A,C) | f174(c30,A,C,D) = D | -in(D,f172(c30,A,C)). [resolve(974,a,832,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,833,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,834,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,835,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,836,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,837,a)]. 6.89/7.19 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,838,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,839,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f170(c30,A,B),complements_of_subsets(the_carrier(c30),A)) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,840,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,841,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,842,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,843,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,844,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,845,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,846,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,847,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) = f165(c30,A,B) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,848,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | element(f173(c30,A,B,F,C,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,849,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | f173(c30,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,850,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c30),f173(c30,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | C != F | in(F,f172(c30,A,B)). [resolve(974,a,851,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | in(f174(c30,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c30),A),B)) | -in(C,f172(c30,A,B)). [resolve(974,a,852,a)]. 6.98/7.21 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | ordered_pair(f175(c30,A,B,C),f176(c30,A,B,C)) = C | -in(C,f172(c30,A,B)). [resolve(974,a,853,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | -element(C,powerset(the_carrier(c30))) | C != f175(c30,A,B,D) | subset_complement(the_carrier(c30),C) = f176(c30,A,B,D) | -in(D,f172(c30,A,B)). [resolve(974,a,854,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | in(f175(c30,A,B,C),complements_of_subsets(the_carrier(c30),A)) | -in(C,f172(c30,A,B)). [resolve(974,a,855,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f167(c30,A,B) != f166(c30,A,B) | f174(c30,A,B,C) = C | -in(C,f172(c30,A,B)). [resolve(974,a,856,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | relation(f202(c30,A)). [resolve(974,a,857,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | -in(ordered_pair(C,D),f202(c30,A)) | in(C,complements_of_subsets(the_carrier(c30),A)). [resolve(974,a,858,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | -in(ordered_pair(C,D),f202(c30,A)) | -element(E,powerset(the_carrier(c30))) | E != C | subset_complement(the_carrier(c30),E) = D. [resolve(974,a,859,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | in(ordered_pair(C,D),f202(c30,A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | element(f203(c30,A,C,D),powerset(the_carrier(c30))). [resolve(974,a,860,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | in(ordered_pair(C,D),f202(c30,A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | f203(c30,A,C,D) = C. [resolve(974,a,861,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | in(ordered_pair(C,D),f202(c30,A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f203(c30,A,C,D)) != D. [resolve(974,a,862,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f200(c30,A) | function(f202(c30,A)). [resolve(974,a,863,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | relation(f202(c30,A)). [resolve(974,a,864,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | -in(ordered_pair(C,D),f202(c30,A)) | in(C,complements_of_subsets(the_carrier(c30),A)). [resolve(974,a,865,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | -in(ordered_pair(C,D),f202(c30,A)) | -element(E,powerset(the_carrier(c30))) | E != C | subset_complement(the_carrier(c30),E) = D. [resolve(974,a,866,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | in(ordered_pair(C,D),f202(c30,A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | element(f203(c30,A,C,D),powerset(the_carrier(c30))). [resolve(974,a,867,a)]. 6.98/7.22 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | in(ordered_pair(C,D),f202(c30,A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | f203(c30,A,C,D) = C. [resolve(974,a,868,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | in(ordered_pair(C,D),f202(c30,A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f203(c30,A,C,D)) != D. [resolve(974,a,869,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -element(B,powerset(the_carrier(c30))) | B != f199(c30,A) | subset_complement(the_carrier(c30),B) = f201(c30,A) | function(f202(c30,A)). [resolve(974,a,870,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | relation(f202(c30,A)). [resolve(974,a,871,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(ordered_pair(B,C),f202(c30,A)) | in(B,complements_of_subsets(the_carrier(c30),A)). [resolve(974,a,872,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(ordered_pair(B,C),f202(c30,A)) | -element(D,powerset(the_carrier(c30))) | D != B | subset_complement(the_carrier(c30),D) = C. [resolve(974,a,873,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(ordered_pair(B,C),f202(c30,A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | element(f203(c30,A,B,C),powerset(the_carrier(c30))). [resolve(974,a,874,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(ordered_pair(B,C),f202(c30,A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | f203(c30,A,B,C) = B. [resolve(974,a,875,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(ordered_pair(B,C),f202(c30,A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f203(c30,A,B,C)) != C. [resolve(974,a,876,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f199(c30,A),complements_of_subsets(the_carrier(c30),A)) | function(f202(c30,A)). [resolve(974,a,877,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | relation(f202(c30,A)). [resolve(974,a,878,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | -in(ordered_pair(B,C),f202(c30,A)) | in(B,complements_of_subsets(the_carrier(c30),A)). [resolve(974,a,879,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | -in(ordered_pair(B,C),f202(c30,A)) | -element(D,powerset(the_carrier(c30))) | D != B | subset_complement(the_carrier(c30),D) = C. [resolve(974,a,880,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | in(ordered_pair(B,C),f202(c30,A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | element(f203(c30,A,B,C),powerset(the_carrier(c30))). [resolve(974,a,881,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | in(ordered_pair(B,C),f202(c30,A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | f203(c30,A,B,C) = B. [resolve(974,a,882,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | in(ordered_pair(B,C),f202(c30,A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | subset_complement(the_carrier(c30),f203(c30,A,B,C)) != C. [resolve(974,a,883,a)]. 6.98/7.24 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f201(c30,A) != f200(c30,A) | function(f202(c30,A)). [resolve(974,a,884,a)]. 6.98/7.24 Derived: empty_carrier(c30) | -empty(cast_as_carrier_subset(c30)). [resolve(974,a,885,a)]. 6.98/7.24 Derived: empty_carrier(c30) | -element(A,powerset(the_carrier(c30))) | -element(B,the_carrier(c30)) | -in(B,subset_complement(the_carrier(c30),A)) | -in(B,A). [resolve(974,a,886,b)]. 6.98/7.26 Derived: empty_carrier(c30) | -element(A,powerset(the_carrier(c30))) | -element(B,the_carrier(c30)) | in(B,subset_complement(the_carrier(c30),A)) | in(B,A). [resolve(974,a,887,b)]. 6.98/7.26 Derived: -element(A,powerset(the_carrier(c30))) | subset_difference(the_carrier(c30),cast_as_carrier_subset(c30),subset_difference(the_carrier(c30),cast_as_carrier_subset(c30),A)) = A. [resolve(974,a,888,a)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -finite(complements_of_subsets(the_carrier(c30),A)) | finite(A). [resolve(974,a,890,a)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | finite(complements_of_subsets(the_carrier(c30),A)) | -finite(A). [resolve(974,a,891,a)]. 6.98/7.26 Derived: empty(the_carrier(c30)) | -empty_carrier(c30). [resolve(974,a,893,a)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | relation(f313(c30,A)). [resolve(974,a,895,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,896,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,897,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | function(f313(c30,A)). [resolve(974,a,898,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | relation(f313(c30,A)). [resolve(974,a,899,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | -in(D,complements_of_subsets(the_carrier(c30),A)) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f313(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,900,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,901,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | function(f313(c30,A)). [resolve(974,a,902,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,903,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | -in(D,complements_of_subsets(the_carrier(c30),A)) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f313(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,904,b)]. 6.98/7.26 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,905,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | function(f313(c30,A)). [resolve(974,a,906,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | f312(c30,A) != f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,907,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | f312(c30,A) != f311(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,908,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | f312(c30,A) != f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,909,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | element(f309(c30,A,B),powerset(the_carrier(c30))) | f312(c30,A) != f311(c30,A) | function(f313(c30,A)). [resolve(974,a,910,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | relation(f313(c30,A)). [resolve(974,a,911,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,912,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,913,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | function(f313(c30,A)). [resolve(974,a,914,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | relation(f313(c30,A)). [resolve(974,a,915,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | -in(D,complements_of_subsets(the_carrier(c30),A)) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f313(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,916,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,917,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | function(f313(c30,A)). [resolve(974,a,918,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,919,b)]. 6.98/7.28 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | -in(D,complements_of_subsets(the_carrier(c30),A)) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f313(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,920,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,921,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | function(f313(c30,A)). [resolve(974,a,922,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | f312(c30,A) != f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,923,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | f312(c30,A) != f311(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,924,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | f312(c30,A) != f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,925,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | f309(c30,A,B) = f308(c30,A) | f312(c30,A) != f311(c30,A) | function(f313(c30,A)). [resolve(974,a,926,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | relation(f313(c30,A)). [resolve(974,a,927,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,928,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,929,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | function(f313(c30,A)). [resolve(974,a,930,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | relation(f313(c30,A)). [resolve(974,a,931,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | -in(D,complements_of_subsets(the_carrier(c30),A)) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f313(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,932,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,933,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f312(c30,A) | function(f313(c30,A)). [resolve(974,a,934,b)]. 6.98/7.29 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,935,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | -in(D,complements_of_subsets(the_carrier(c30),A)) | -element(E,powerset(the_carrier(c30))) | E != D | apply(f313(c30,A),D) = subset_complement(the_carrier(c30),E). [resolve(974,a,936,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,937,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | -element(C,powerset(the_carrier(c30))) | C != f310(c30,A) | subset_complement(the_carrier(c30),C) = f311(c30,A) | function(f313(c30,A)). [resolve(974,a,938,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | f312(c30,A) != f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,939,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | f312(c30,A) != f311(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,940,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | f312(c30,A) != f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,941,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | subset_complement(the_carrier(c30),f309(c30,A,B)) != B | f312(c30,A) != f311(c30,A) | function(f313(c30,A)). [resolve(974,a,942,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | relation(f313(c30,A)). [resolve(974,a,943,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | -in(B,complements_of_subsets(the_carrier(c30),A)) | -element(C,powerset(the_carrier(c30))) | C != B | apply(f313(c30,A),B) = subset_complement(the_carrier(c30),C). [resolve(974,a,944,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,945,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | in(f310(c30,A),complements_of_subsets(the_carrier(c30),A)) | function(f313(c30,A)). [resolve(974,a,946,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f312(c30,A) | relation(f313(c30,A)). [resolve(974,a,947,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f312(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,948,b)]. 7.08/7.31 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f312(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,949,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f312(c30,A) | function(f313(c30,A)). [resolve(974,a,950,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,951,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f311(c30,A) | -in(C,complements_of_subsets(the_carrier(c30),A)) | -element(D,powerset(the_carrier(c30))) | D != C | apply(f313(c30,A),C) = subset_complement(the_carrier(c30),D). [resolve(974,a,952,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,953,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | -element(B,powerset(the_carrier(c30))) | B != f310(c30,A) | subset_complement(the_carrier(c30),B) = f311(c30,A) | function(f313(c30,A)). [resolve(974,a,954,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | f312(c30,A) != f311(c30,A) | relation(f313(c30,A)). [resolve(974,a,955,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | f312(c30,A) != f311(c30,A) | -in(B,complements_of_subsets(the_carrier(c30),A)) | -element(C,powerset(the_carrier(c30))) | C != B | apply(f313(c30,A),B) = subset_complement(the_carrier(c30),C). [resolve(974,a,956,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | f312(c30,A) != f311(c30,A) | complements_of_subsets(the_carrier(c30),A) = relation_dom(f313(c30,A)). [resolve(974,a,957,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(f308(c30,A),complements_of_subsets(the_carrier(c30),A)) | f312(c30,A) != f311(c30,A) | function(f313(c30,A)). [resolve(974,a,958,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f350(c30,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)). [resolve(974,a,960,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f350(c30,A,C)) | -element(D,powerset(the_carrier(c30))) | D != f351(c30,A,C,B) | subset_complement(the_carrier(c30),D) = f352(c30,A,C,B). [resolve(974,a,961,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f350(c30,A,C)) | in(f351(c30,A,C,B),complements_of_subsets(the_carrier(c30),A)). [resolve(974,a,962,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f350(c30,A,C)) | ordered_pair(f351(c30,A,C,B),f352(c30,A,C,B)) = B. [resolve(974,a,963,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(B,f350(c30,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | element(f353(c30,A,C,B,D,E),powerset(the_carrier(c30))) | -in(D,complements_of_subsets(the_carrier(c30),A)) | ordered_pair(D,E) != B. [resolve(974,a,964,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(B,f350(c30,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | f353(c30,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c30),A)) | ordered_pair(D,E) != B. [resolve(974,a,965,b)]. 7.08/7.33 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(B,f350(c30,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c30),A),C)) | subset_complement(the_carrier(c30),f353(c30,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c30),A)) | ordered_pair(D,E) != B. [resolve(974,a,966,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f376(c30,A,C)) | ordered_pair(f377(c30,A,C,B),f378(c30,A,C,B)) = B. [resolve(974,a,967,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f376(c30,A,C)) | -element(D,powerset(the_carrier(c30))) | D != f377(c30,A,C,B) | subset_complement(the_carrier(c30),D) = f378(c30,A,C,B). [resolve(974,a,968,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f376(c30,A,C)) | in(f377(c30,A,C,B),A). [resolve(974,a,969,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | -in(B,f376(c30,A,C)) | in(B,cartesian_product2(A,C)). [resolve(974,a,970,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(B,f376(c30,A,C)) | ordered_pair(D,E) != B | element(f379(c30,A,C,B,D,E),powerset(the_carrier(c30))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(974,a,971,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(B,f376(c30,A,C)) | ordered_pair(D,E) != B | f379(c30,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(974,a,972,b)]. 17.27/17.56 Derived: -element(A,powerset(powerset(the_carrier(c30)))) | in(B,f376(c30,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c30),f379(c30,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(974,a,973,b)]. 17.27/17.56 975 -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | antisymmetric_relstr(A) # label(d6_orders_2) # label(axiom). [clausify(320)]. 17.27/17.56 976 rel_str(c1) # label(existence_l1_orders_2) # label(axiom). [clausify(15)]. 17.27/17.56 Derived: -is_antisymmetric_in(the_InternalRel(c1),the_carrier(c1)) | antisymmetric_relstr(c1). [resolve(975,a,976,a)]. 17.27/17.56 977 -rel_str(A) | is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -antisymmetric_relstr(A) # label(d6_orders_2) # label(axiom). [clausify(320)]. 17.27/17.56 Derived: is_antisymmetric_in(the_InternalRel(c1),the_carrier(c1)) | -antisymmetric_relstr(c1). [resolve(977,a,976,a)]. 17.27/17.56 978 -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(ordered_pair(B,C),the_InternalRel(A)) | related(A,B,C) # label(d9_orders_2) # label(axiom). [clausify(327)]. 17.27/17.56 Derived: -element(A,the_carrier(c1)) | -element(B,the_carrier(c1)) | -in(ordered_pair(A,B),the_InternalRel(c1)) | related(c1,A,B). [resolve(978,a,976,a)]. 17.27/17.56 979 -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | in(ordered_pair(B,C),the_InternalRel(A)) | -related(A,B,C) # label(d9_orders_2) # label(axiom). [clausify(327)]. 17.27/17.56 Derived: -element(A,the_carrier(c1)) | -element(B,the_carrier(c1)) | in(ordered_pair(A,B),the_InternalRel(c1)) | -related(c1,A,B). [resolve(979,a,976,a)]. 17.27/17.56 980 -rel_str(A) | relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) # label(dt_u1_orders_2) # label(axiom). [clausify(489)]. 17.27/17.56 Derived: relation_of2_as_subset(the_InternalRel(c1),the_carrier(c1),the_carrier(c1)). [resolve(980,a,976,a)]. 17.27/17.56 981 rel_str(c32) # label(t25_orders_2) # label(negated_conjecture). [clausify(559)]. 17.27/17.56 Derived: is_antisymmetric_in(the_InternalRel(c32),the_carrier(c32)) | -antisymmetric_relstr(c32). [resolve(981,a,977,a)]. 17.27/17.56 Derived: -element(A,the_carrier(c32)) | -element(B,the_carrier(c32)) | -in(ordered_pair(A,B),the_InternalRel(c32)) | related(c32,A,B). [resolve(981,a,978,a)]. 17.27/17.56 Derived: -element(A,the_carrier(c32)) | -element(B,the_carrier(c32)) | in(ordered_pair(A,B),the_InternalRel(c32)) | -related(c32,A,B). [resolve(981,a,979,a)]. 17.27/17.56 Derived: relation_of2_as_subset(the_InternalRel(c32),the_carrier(c32),the_carrier(c32)). [resolve(981,a,980,a)]. 17.27/17.56 982 -rel_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(894,b,561,a)]. 17.27/17.56 Derived: cast_as_carrier_subset(c1) = the_carrier(c1). [resolve(982,a,976,a)]. 17.27/17.56 Derived: cast_as_carrier_subset(c32) = the_carrier(c32). [resolve(982,a,981,a)]. 17.27/17.56 983 -rel_str(A) | empty_carrier_subset(A) = empty_set. [resolve(894,b,562,a)]. 17.27/17.57 Derived: empty_carrier_subset(c1) = empty_set. [resolve(983,a,976,a)]. 17.27/17.57 Derived: empty_carrier_subset(c32) = empty_set. [resolve(983,a,981,a)]. 17.27/17.57 984 -rel_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(894,b,563,a)]. 17.27/17.57 Derived: element(cast_as_carrier_subset(c1),powerset(the_carrier(c1))). [resolve(984,a,976,a)]. 17.27/17.57 Derived: element(cast_as_carrier_subset(c32),powerset(the_carrier(c32))). [resolve(984,a,981,a)]. 17.27/17.57 985 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,564,b)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(985,a,976,a)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(985,a,981,a)]. 17.27/17.57 986 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,565,b)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(986,a,976,a)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(986,a,981,a)]. 17.27/17.57 987 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,566,b)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(987,a,976,a)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(987,a,981,a)]. 17.27/17.57 988 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,567,b)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(988,a,976,a)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(988,a,981,a)]. 17.27/17.57 989 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,568,b)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(989,a,976,a)]. 17.27/17.57 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(989,a,981,a)]. 17.27/17.58 990 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,569,b)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(990,a,976,a)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(990,a,981,a)]. 17.27/17.58 991 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,570,b)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(991,a,976,a)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(991,a,981,a)]. 17.27/17.58 992 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,571,b)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f15(c1,A,B),f16(c1,A,B)) = f13(c1,A,B) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(992,a,976,a)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f15(c32,A,B),f16(c32,A,B)) = f13(c32,A,B) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(992,a,981,a)]. 17.27/17.58 993 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,572,b)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c1,A,C,E,D,F,V6),powerset(the_carrier(c1))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c1,A,C)). [resolve(993,a,976,a)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c32,A,C,E,D,F,V6),powerset(the_carrier(c32))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c32,A,C)). [resolve(993,a,981,a)]. 17.27/17.58 994 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,573,b)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c1,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c1,A,C)). [resolve(994,a,976,a)]. 17.27/17.58 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c32,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c32,A,C)). [resolve(994,a,981,a)]. 17.36/17.59 995 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,574,b)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c1),f20(c1,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c1,A,C)). [resolve(995,a,976,a)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c32),f20(c32,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c32,A,C)). [resolve(995,a,981,a)]. 17.36/17.59 996 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(894,b,575,b)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | in(f21(c1,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c1,A,C)). [resolve(996,a,976,a)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | in(f21(c32,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c32,A,C)). [resolve(996,a,981,a)]. 17.36/17.59 997 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(894,b,576,b)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | f21(c1,A,C,D) = D | -in(D,f19(c1,A,C)). [resolve(997,a,976,a)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | f21(c32,A,C,D) = D | -in(D,f19(c32,A,C)). [resolve(997,a,981,a)]. 17.36/17.59 998 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(894,b,577,b)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | -element(D,powerset(the_carrier(c1))) | D != f22(c1,A,C,E) | subset_complement(the_carrier(c1),D) = f23(c1,A,C,E) | -in(E,f19(c1,A,C)). [resolve(998,a,976,a)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | -element(D,powerset(the_carrier(c32))) | D != f22(c32,A,C,E) | subset_complement(the_carrier(c32),D) = f23(c32,A,C,E) | -in(E,f19(c32,A,C)). [resolve(998,a,981,a)]. 17.36/17.59 999 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(894,b,578,b)]. 17.36/17.59 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | in(f22(c1,A,C,D),A) | -in(D,f19(c1,A,C)). [resolve(999,a,976,a)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | in(f22(c32,A,C,D),A) | -in(D,f19(c32,A,C)). [resolve(999,a,981,a)]. 17.36/17.60 1000 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(894,b,579,b)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f15(c1,A,C) | subset_complement(the_carrier(c1),B) = f16(c1,A,C) | ordered_pair(f22(c1,A,C,D),f23(c1,A,C,D)) = D | -in(D,f19(c1,A,C)). [resolve(1000,a,976,a)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f15(c32,A,C) | subset_complement(the_carrier(c32),B) = f16(c32,A,C) | ordered_pair(f22(c32,A,C,D),f23(c32,A,C,D)) = D | -in(D,f19(c32,A,C)). [resolve(1000,a,981,a)]. 17.36/17.60 1001 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,580,b)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1001,a,976,a)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1001,a,981,a)]. 17.36/17.60 1002 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,581,b)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1002,a,976,a)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1002,a,981,a)]. 17.36/17.60 1003 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,582,b)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1003,a,976,a)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1003,a,981,a)]. 17.36/17.60 1004 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,583,b)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(1004,a,976,a)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(1004,a,981,a)]. 17.36/17.60 1005 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,584,b)]. 17.36/17.60 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(1005,a,976,a)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(1005,a,981,a)]. 17.36/17.61 1006 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,585,b)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(1006,a,976,a)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(1006,a,981,a)]. 17.36/17.61 1007 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,586,b)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(1007,a,976,a)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(1007,a,981,a)]. 17.36/17.61 1008 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,587,b)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f15(c1,A,B),A) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(1008,a,976,a)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f15(c32,A,B),A) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(1008,a,981,a)]. 17.36/17.61 1009 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,588,b)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c1,A,C,E,D,F,V6),powerset(the_carrier(c1))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c1,A,C)). [resolve(1009,a,976,a)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c32,A,C,E,D,F,V6),powerset(the_carrier(c32))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c32,A,C)). [resolve(1009,a,981,a)]. 17.36/17.61 1010 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,589,b)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c1,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c1,A,C)). [resolve(1010,a,976,a)]. 17.36/17.61 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c32,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c32,A,C)). [resolve(1010,a,981,a)]. 17.36/17.61 1011 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(894,b,590,b)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c1),f20(c1,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c1,A,C)). [resolve(1011,a,976,a)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c32),f20(c32,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c32,A,C)). [resolve(1011,a,981,a)]. 17.36/17.62 1012 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(894,b,591,b)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | in(f21(c1,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c1,A,C)). [resolve(1012,a,976,a)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | in(f21(c32,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c32,A,C)). [resolve(1012,a,981,a)]. 17.36/17.62 1013 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(894,b,592,b)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | f21(c1,A,C,D) = D | -in(D,f19(c1,A,C)). [resolve(1013,a,976,a)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | f21(c32,A,C,D) = D | -in(D,f19(c32,A,C)). [resolve(1013,a,981,a)]. 17.36/17.62 1014 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(894,b,593,b)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | -element(D,powerset(the_carrier(c1))) | D != f22(c1,A,C,E) | subset_complement(the_carrier(c1),D) = f23(c1,A,C,E) | -in(E,f19(c1,A,C)). [resolve(1014,a,976,a)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | -element(D,powerset(the_carrier(c32))) | D != f22(c32,A,C,E) | subset_complement(the_carrier(c32),D) = f23(c32,A,C,E) | -in(E,f19(c32,A,C)). [resolve(1014,a,981,a)]. 17.36/17.62 1015 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(894,b,594,b)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | in(f22(c1,A,C,D),A) | -in(D,f19(c1,A,C)). [resolve(1015,a,976,a)]. 17.36/17.62 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | in(f22(c32,A,C,D),A) | -in(D,f19(c32,A,C)). [resolve(1015,a,981,a)]. 17.36/17.63 1016 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(894,b,595,b)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f17(c1,A,C) | subset_complement(the_carrier(c1),B) = f18(c1,A,C) | ordered_pair(f22(c1,A,C,D),f23(c1,A,C,D)) = D | -in(D,f19(c1,A,C)). [resolve(1016,a,976,a)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f17(c32,A,C) | subset_complement(the_carrier(c32),B) = f18(c32,A,C) | ordered_pair(f22(c32,A,C,D),f23(c32,A,C,D)) = D | -in(D,f19(c32,A,C)). [resolve(1016,a,981,a)]. 17.36/17.63 1017 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,596,b)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1017,a,976,a)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1017,a,981,a)]. 17.36/17.63 1018 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,597,b)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1018,a,976,a)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1018,a,981,a)]. 17.36/17.63 1019 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,598,b)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1019,a,976,a)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1019,a,981,a)]. 17.36/17.63 1020 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,599,b)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(1020,a,976,a)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(1020,a,981,a)]. 17.36/17.63 1021 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,600,b)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(1021,a,976,a)]. 17.36/17.63 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(1021,a,981,a)]. 17.36/17.64 1022 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,601,b)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(1022,a,976,a)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(1022,a,981,a)]. 17.36/17.64 1023 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,602,b)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(1023,a,976,a)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(1023,a,981,a)]. 17.36/17.64 1024 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,603,b)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f17(c1,A,B),A) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(1024,a,976,a)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f17(c32,A,B),A) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(1024,a,981,a)]. 17.36/17.64 1025 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,604,b)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1025,a,976,a)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1025,a,981,a)]. 17.36/17.64 1026 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,605,b)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1026,a,976,a)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1026,a,981,a)]. 17.36/17.64 1027 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,606,b)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1027,a,976,a)]. 17.36/17.64 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1027,a,981,a)]. 17.36/17.65 1028 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,607,b)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(1028,a,976,a)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(1028,a,981,a)]. 17.36/17.65 1029 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,608,b)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(1029,a,976,a)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(1029,a,981,a)]. 17.36/17.65 1030 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,609,b)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(1030,a,976,a)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(1030,a,981,a)]. 17.36/17.65 1031 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,610,b)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(1031,a,976,a)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(1031,a,981,a)]. 17.36/17.65 1032 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,611,b)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f17(c1,A,B),f18(c1,A,B)) = f14(c1,A,B) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(1032,a,976,a)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f17(c32,A,B),f18(c32,A,B)) = f14(c32,A,B) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(1032,a,981,a)]. 17.36/17.65 1033 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,612,b)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1033,a,976,a)]. 17.36/17.65 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1033,a,981,a)]. 17.36/17.66 1034 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,613,b)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1034,a,976,a)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1034,a,981,a)]. 17.36/17.66 1035 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,614,b)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1035,a,976,a)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1035,a,981,a)]. 17.36/17.66 1036 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,615,b)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(1036,a,976,a)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(1036,a,981,a)]. 17.36/17.66 1037 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,616,b)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(1037,a,976,a)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(1037,a,981,a)]. 17.36/17.66 1038 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,617,b)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(1038,a,976,a)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(1038,a,981,a)]. 17.36/17.66 1039 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,618,b)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(1039,a,976,a)]. 17.36/17.66 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(1039,a,981,a)]. 17.36/17.66 1040 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,619,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) = f12(c1,A,B) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(1040,a,976,a)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) = f12(c32,A,B) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(1040,a,981,a)]. 17.36/17.68 1041 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,620,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1041,a,976,a)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1041,a,981,a)]. 17.36/17.68 1042 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,621,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1042,a,976,a)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1042,a,981,a)]. 17.36/17.68 1043 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,622,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1043,a,976,a)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1043,a,981,a)]. 17.36/17.68 1044 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,623,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(1044,a,976,a)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(1044,a,981,a)]. 17.36/17.68 1045 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,624,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(1045,a,976,a)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(1045,a,981,a)]. 17.36/17.68 1046 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,625,b)]. 17.36/17.68 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(1046,a,976,a)]. 17.36/17.69 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(1046,a,981,a)]. 17.36/17.69 1047 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,626,b)]. 17.36/17.69 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(1047,a,976,a)]. 17.36/17.69 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(1047,a,981,a)]. 17.36/17.69 1048 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,627,b)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f13(c1,A,B) = f12(c1,A,B) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(1048,a,976,a)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f13(c32,A,B) = f12(c32,A,B) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(1048,a,981,a)]. 17.47/17.69 1049 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,628,b)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c1,A,B,D,C,E,F),powerset(the_carrier(c1))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1049,a,976,a)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c32,A,B,D,C,E,F),powerset(the_carrier(c32))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1049,a,981,a)]. 17.47/17.69 1050 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,629,b)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c1,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1050,a,976,a)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c32,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1050,a,981,a)]. 17.47/17.69 1051 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(894,b,630,b)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c1),f20(c1,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c1,A,B)). [resolve(1051,a,976,a)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c32),f20(c32,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c32,A,B)). [resolve(1051,a,981,a)]. 17.47/17.69 1052 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(894,b,631,b)]. 17.47/17.69 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | in(f21(c1,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c1,A,B)). [resolve(1052,a,976,a)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | in(f21(c32,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c32,A,B)). [resolve(1052,a,981,a)]. 17.48/17.70 1053 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(894,b,632,b)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | f21(c1,A,B,C) = C | -in(C,f19(c1,A,B)). [resolve(1053,a,976,a)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | f21(c32,A,B,C) = C | -in(C,f19(c32,A,B)). [resolve(1053,a,981,a)]. 17.48/17.70 1054 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(894,b,633,b)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f22(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f23(c1,A,B,D) | -in(D,f19(c1,A,B)). [resolve(1054,a,976,a)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f22(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f23(c32,A,B,D) | -in(D,f19(c32,A,B)). [resolve(1054,a,981,a)]. 17.48/17.70 1055 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(894,b,634,b)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | in(f22(c1,A,B,C),A) | -in(C,f19(c1,A,B)). [resolve(1055,a,976,a)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | in(f22(c32,A,B,C),A) | -in(C,f19(c32,A,B)). [resolve(1055,a,981,a)]. 17.48/17.70 1056 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(894,b,635,b)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f14(c1,A,B) != f13(c1,A,B) | ordered_pair(f22(c1,A,B,C),f23(c1,A,B,C)) = C | -in(C,f19(c1,A,B)). [resolve(1056,a,976,a)]. 17.48/17.70 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f14(c32,A,B) != f13(c32,A,B) | ordered_pair(f22(c32,A,B,C),f23(c32,A,B,C)) = C | -in(C,f19(c32,A,B)). [resolve(1056,a,981,a)]. 17.48/17.70 1057 -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(894,b,636,a)]. 17.48/17.70 Derived: -element(A,powerset(the_carrier(c1))) | subset_difference(the_carrier(c1),cast_as_carrier_subset(c1),A) = subset_complement(the_carrier(c1),A). [resolve(1057,a,976,a)]. 17.48/17.70 Derived: -element(A,powerset(the_carrier(c32))) | subset_difference(the_carrier(c32),cast_as_carrier_subset(c32),A) = subset_complement(the_carrier(c32),A). [resolve(1057,a,981,a)]. 17.48/17.70 1058 -rel_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(894,b,637,b)]. 17.48/17.70 Derived: empty_carrier(c1) | -element(A,powerset(powerset(the_carrier(c1)))) | -is_a_cover_of_carrier(c1,A) | empty_set != A. [resolve(1058,a,976,a)]. 17.48/17.70 Derived: empty_carrier(c32) | -element(A,powerset(powerset(the_carrier(c32)))) | -is_a_cover_of_carrier(c32,A) | empty_set != A. [resolve(1058,a,981,a)]. 17.48/17.70 1059 -rel_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(894,b,638,a)]. 17.48/17.70 Derived: element(empty_carrier_subset(c1),powerset(the_carrier(c1))). [resolve(1059,a,976,a)]. 17.48/17.70 Derived: element(empty_carrier_subset(c32),powerset(the_carrier(c32))). [resolve(1059,a,981,a)]. 17.48/17.70 1060 -rel_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(894,b,639,b)]. 17.48/17.70 Derived: empty_carrier(c1) | -empty(f35(c1)). [resolve(1060,a,976,a)]. 17.48/17.70 Derived: empty_carrier(c32) | -empty(f35(c32)). [resolve(1060,a,981,a)]. 17.48/17.70 1061 -rel_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(894,b,640,b)]. 17.49/17.71 Derived: empty_carrier(c1) | element(f35(c1),powerset(the_carrier(c1))). [resolve(1061,a,976,a)]. 17.49/17.71 Derived: empty_carrier(c32) | element(f35(c32),powerset(the_carrier(c32))). [resolve(1061,a,981,a)]. 17.49/17.71 1062 -rel_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(894,b,641,a)]. 17.49/17.71 Derived: empty_carrier(c1) | -empty(the_carrier(c1)). [resolve(1062,a,976,a)]. 17.49/17.71 Derived: empty_carrier(c32) | -empty(the_carrier(c32)). [resolve(1062,a,981,a)]. 17.49/17.71 1063 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | relation(f53(A,B)). [resolve(894,b,642,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | relation(f53(c1,A)). [resolve(1063,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | relation(f53(c32,A)). [resolve(1063,a,981,a)]. 17.49/17.71 1064 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | function(f53(A,B)). [resolve(894,b,643,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | function(f53(c1,A)). [resolve(1064,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | function(f53(c32,A)). [resolve(1064,a,981,a)]. 17.49/17.71 1065 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,644,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | -in(B,A) | element(f54(c1,A,B,C),powerset(the_carrier(c1))) | in(ordered_pair(B,C),f53(c1,A)). [resolve(1065,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | -in(B,A) | element(f54(c32,A,B,C),powerset(the_carrier(c32))) | in(ordered_pair(B,C),f53(c32,A)). [resolve(1065,a,981,a)]. 17.49/17.71 1066 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,645,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | -in(B,A) | f54(c1,A,B,C) = B | in(ordered_pair(B,C),f53(c1,A)). [resolve(1066,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | -in(B,A) | f54(c32,A,B,C) = B | in(ordered_pair(B,C),f53(c32,A)). [resolve(1066,a,981,a)]. 17.49/17.71 1067 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,646,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | -in(B,A) | subset_complement(the_carrier(c1),f54(c1,A,B,C)) != C | in(ordered_pair(B,C),f53(c1,A)). [resolve(1067,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | -in(B,A) | subset_complement(the_carrier(c32),f54(c32,A,B,C)) != C | in(ordered_pair(B,C),f53(c32,A)). [resolve(1067,a,981,a)]. 17.49/17.71 1068 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,647,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | in(B,A) | -in(ordered_pair(B,C),f53(c1,A)). [resolve(1068,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | in(B,A) | -in(ordered_pair(B,C),f53(c32,A)). [resolve(1068,a,981,a)]. 17.49/17.71 1069 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,648,b)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f50(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != C | subset_complement(the_carrier(c1),B) = D | -in(ordered_pair(C,D),f53(c1,A)). [resolve(1069,a,976,a)]. 17.49/17.71 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f50(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != C | subset_complement(the_carrier(c32),B) = D | -in(ordered_pair(C,D),f53(c32,A)). [resolve(1069,a,981,a)]. 17.49/17.72 1070 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | relation(f53(A,B)). [resolve(894,b,649,b)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | relation(f53(c1,A)). [resolve(1070,a,976,a)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | relation(f53(c32,A)). [resolve(1070,a,981,a)]. 17.49/17.72 1071 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | function(f53(A,B)). [resolve(894,b,650,b)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | function(f53(c1,A)). [resolve(1071,a,976,a)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | function(f53(c32,A)). [resolve(1071,a,981,a)]. 17.49/17.72 1072 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,651,b)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | -in(C,A) | element(f54(c1,A,C,D),powerset(the_carrier(c1))) | in(ordered_pair(C,D),f53(c1,A)). [resolve(1072,a,976,a)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | -in(C,A) | element(f54(c32,A,C,D),powerset(the_carrier(c32))) | in(ordered_pair(C,D),f53(c32,A)). [resolve(1072,a,981,a)]. 17.49/17.72 1073 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,652,b)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | -in(C,A) | f54(c1,A,C,D) = C | in(ordered_pair(C,D),f53(c1,A)). [resolve(1073,a,976,a)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | -in(C,A) | f54(c32,A,C,D) = C | in(ordered_pair(C,D),f53(c32,A)). [resolve(1073,a,981,a)]. 17.49/17.72 1074 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,653,b)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | -in(C,A) | subset_complement(the_carrier(c1),f54(c1,A,C,D)) != D | in(ordered_pair(C,D),f53(c1,A)). [resolve(1074,a,976,a)]. 17.49/17.72 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | -in(C,A) | subset_complement(the_carrier(c32),f54(c32,A,C,D)) != D | in(ordered_pair(C,D),f53(c32,A)). [resolve(1074,a,981,a)]. 17.49/17.72 1075 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,654,b)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | in(C,A) | -in(ordered_pair(C,D),f53(c1,A)). [resolve(1075,a,976,a)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | in(C,A) | -in(ordered_pair(C,D),f53(c32,A)). [resolve(1075,a,981,a)]. 17.49/17.73 1076 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(894,b,655,b)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f52(c1,A) | -element(C,powerset(the_carrier(c1))) | C != D | subset_complement(the_carrier(c1),C) = E | -in(ordered_pair(D,E),f53(c1,A)). [resolve(1076,a,976,a)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f52(c32,A) | -element(C,powerset(the_carrier(c32))) | C != D | subset_complement(the_carrier(c32),C) = E | -in(ordered_pair(D,E),f53(c32,A)). [resolve(1076,a,981,a)]. 17.49/17.73 1077 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | relation(f53(A,B)). [resolve(894,b,656,b)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | relation(f53(c1,A)). [resolve(1077,a,976,a)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | relation(f53(c32,A)). [resolve(1077,a,981,a)]. 17.49/17.73 1078 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | function(f53(A,B)). [resolve(894,b,657,b)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | function(f53(c1,A)). [resolve(1078,a,976,a)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | function(f53(c32,A)). [resolve(1078,a,981,a)]. 17.49/17.73 1079 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,658,b)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | -in(C,A) | element(f54(c1,A,C,D),powerset(the_carrier(c1))) | in(ordered_pair(C,D),f53(c1,A)). [resolve(1079,a,976,a)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | -in(C,A) | element(f54(c32,A,C,D),powerset(the_carrier(c32))) | in(ordered_pair(C,D),f53(c32,A)). [resolve(1079,a,981,a)]. 17.49/17.73 1080 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,659,b)]. 17.49/17.73 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | -in(C,A) | f54(c1,A,C,D) = C | in(ordered_pair(C,D),f53(c1,A)). [resolve(1080,a,976,a)]. 17.49/17.74 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | -in(C,A) | f54(c32,A,C,D) = C | in(ordered_pair(C,D),f53(c32,A)). [resolve(1080,a,981,a)]. 17.49/17.74 1081 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,660,b)]. 17.49/17.74 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | -in(C,A) | subset_complement(the_carrier(c1),f54(c1,A,C,D)) != D | in(ordered_pair(C,D),f53(c1,A)). [resolve(1081,a,976,a)]. 17.49/17.74 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | -in(C,A) | subset_complement(the_carrier(c32),f54(c32,A,C,D)) != D | in(ordered_pair(C,D),f53(c32,A)). [resolve(1081,a,981,a)]. 17.49/17.74 1082 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,661,b)]. 17.49/17.74 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | in(C,A) | -in(ordered_pair(C,D),f53(c1,A)). [resolve(1082,a,976,a)]. 17.49/17.74 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | in(C,A) | -in(ordered_pair(C,D),f53(c32,A)). [resolve(1082,a,981,a)]. 17.49/17.74 1083 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(894,b,662,b)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f50(c1,A) | subset_complement(the_carrier(c1),B) = f51(c1,A) | -element(C,powerset(the_carrier(c1))) | C != D | subset_complement(the_carrier(c1),C) = E | -in(ordered_pair(D,E),f53(c1,A)). [resolve(1083,a,976,a)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f50(c32,A) | subset_complement(the_carrier(c32),B) = f51(c32,A) | -element(C,powerset(the_carrier(c32))) | C != D | subset_complement(the_carrier(c32),C) = E | -in(ordered_pair(D,E),f53(c32,A)). [resolve(1083,a,981,a)]. 17.49/17.75 1084 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | relation(f53(A,B)). [resolve(894,b,663,b)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | relation(f53(c1,A)). [resolve(1084,a,976,a)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | relation(f53(c32,A)). [resolve(1084,a,981,a)]. 17.49/17.75 1085 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | function(f53(A,B)). [resolve(894,b,664,b)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | function(f53(c1,A)). [resolve(1085,a,976,a)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | function(f53(c32,A)). [resolve(1085,a,981,a)]. 17.49/17.75 1086 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,665,b)]. 17.49/17.75 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | -in(B,A) | element(f54(c1,A,B,C),powerset(the_carrier(c1))) | in(ordered_pair(B,C),f53(c1,A)). [resolve(1086,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | -in(B,A) | element(f54(c32,A,B,C),powerset(the_carrier(c32))) | in(ordered_pair(B,C),f53(c32,A)). [resolve(1086,a,981,a)]. 17.49/17.76 1087 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,666,b)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | -in(B,A) | f54(c1,A,B,C) = B | in(ordered_pair(B,C),f53(c1,A)). [resolve(1087,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | -in(B,A) | f54(c32,A,B,C) = B | in(ordered_pair(B,C),f53(c32,A)). [resolve(1087,a,981,a)]. 17.49/17.76 1088 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,667,b)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | -in(B,A) | subset_complement(the_carrier(c1),f54(c1,A,B,C)) != C | in(ordered_pair(B,C),f53(c1,A)). [resolve(1088,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | -in(B,A) | subset_complement(the_carrier(c32),f54(c32,A,B,C)) != C | in(ordered_pair(B,C),f53(c32,A)). [resolve(1088,a,981,a)]. 17.49/17.76 1089 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(894,b,668,b)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | in(B,A) | -in(ordered_pair(B,C),f53(c1,A)). [resolve(1089,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | in(B,A) | -in(ordered_pair(B,C),f53(c32,A)). [resolve(1089,a,981,a)]. 17.49/17.76 1090 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(894,b,669,b)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f52(c1,A) != f51(c1,A) | -element(B,powerset(the_carrier(c1))) | B != C | subset_complement(the_carrier(c1),B) = D | -in(ordered_pair(C,D),f53(c1,A)). [resolve(1090,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f52(c32,A) != f51(c32,A) | -element(B,powerset(the_carrier(c32))) | B != C | subset_complement(the_carrier(c32),B) = D | -in(ordered_pair(C,D),f53(c32,A)). [resolve(1090,a,981,a)]. 17.49/17.76 1091 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,670,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | in(f99(c1,A),A) | relation(f102(c1,A)). [resolve(1091,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | in(f99(c32,A),A) | relation(f102(c32,A)). [resolve(1091,a,981,a)]. 17.49/17.76 1092 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,671,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | in(f99(c1,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1092,a,976,a)]. 17.49/17.76 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | in(f99(c32,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1092,a,981,a)]. 17.49/17.76 1093 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,672,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | in(f99(c1,A),A) | relation_dom(f102(c1,A)) = A. [resolve(1093,a,976,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | in(f99(c32,A),A) | relation_dom(f102(c32,A)) = A. [resolve(1093,a,981,a)]. 17.49/17.77 1094 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,673,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | in(f99(c1,A),A) | function(f102(c1,A)). [resolve(1094,a,976,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | in(f99(c32,A),A) | function(f102(c32,A)). [resolve(1094,a,981,a)]. 17.49/17.77 1095 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,674,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | relation(f102(c1,A)). [resolve(1095,a,976,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | relation(f102(c32,A)). [resolve(1095,a,981,a)]. 17.49/17.77 1096 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,675,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | -in(D,A) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f102(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1096,a,976,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | -in(D,A) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f102(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1096,a,981,a)]. 17.49/17.77 1097 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,676,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1097,a,976,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1097,a,981,a)]. 17.49/17.77 1098 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(894,b,677,a)]. 17.49/17.77 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | function(f102(c1,A)). [resolve(1098,a,976,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | function(f102(c32,A)). [resolve(1098,a,981,a)]. 17.49/17.78 1099 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,678,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | relation(f102(c1,A)). [resolve(1099,a,976,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | relation(f102(c32,A)). [resolve(1099,a,981,a)]. 17.49/17.78 1100 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,679,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | -in(D,A) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f102(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1100,a,976,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | -in(D,A) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f102(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1100,a,981,a)]. 17.49/17.78 1101 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,680,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1101,a,976,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1101,a,981,a)]. 17.49/17.78 1102 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(894,b,681,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | function(f102(c1,A)). [resolve(1102,a,976,a)]. 17.49/17.78 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | function(f102(c32,A)). [resolve(1102,a,981,a)]. 17.49/17.78 1103 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,682,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | f101(c1,A) != f100(c1,A) | relation(f102(c1,A)). [resolve(1103,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | f101(c32,A) != f100(c32,A) | relation(f102(c32,A)). [resolve(1103,a,981,a)]. 17.49/17.79 1104 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,683,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | f101(c1,A) != f100(c1,A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1104,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | f101(c32,A) != f100(c32,A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1104,a,981,a)]. 17.49/17.79 1105 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,684,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | f101(c1,A) != f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1105,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | f101(c32,A) != f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1105,a,981,a)]. 17.49/17.79 1106 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,685,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f98(c1,A,B),powerset(the_carrier(c1))) | f101(c1,A) != f100(c1,A) | function(f102(c1,A)). [resolve(1106,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f98(c32,A,B),powerset(the_carrier(c32))) | f101(c32,A) != f100(c32,A) | function(f102(c32,A)). [resolve(1106,a,981,a)]. 17.49/17.79 1107 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,686,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | in(f99(c1,A),A) | relation(f102(c1,A)). [resolve(1107,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | in(f99(c32,A),A) | relation(f102(c32,A)). [resolve(1107,a,981,a)]. 17.49/17.79 1108 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,687,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | in(f99(c1,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1108,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | in(f99(c32,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1108,a,981,a)]. 17.49/17.79 1109 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,688,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | in(f99(c1,A),A) | relation_dom(f102(c1,A)) = A. [resolve(1109,a,976,a)]. 17.49/17.79 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | in(f99(c32,A),A) | relation_dom(f102(c32,A)) = A. [resolve(1109,a,981,a)]. 17.49/17.80 1110 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,689,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | in(f99(c1,A),A) | function(f102(c1,A)). [resolve(1110,a,976,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | in(f99(c32,A),A) | function(f102(c32,A)). [resolve(1110,a,981,a)]. 17.49/17.80 1111 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,690,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | relation(f102(c1,A)). [resolve(1111,a,976,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | relation(f102(c32,A)). [resolve(1111,a,981,a)]. 17.49/17.80 1112 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,691,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | -in(D,A) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f102(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1112,a,976,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | -in(D,A) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f102(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1112,a,981,a)]. 17.49/17.80 1113 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,692,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1113,a,976,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1113,a,981,a)]. 17.49/17.80 1114 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(894,b,693,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | function(f102(c1,A)). [resolve(1114,a,976,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | function(f102(c32,A)). [resolve(1114,a,981,a)]. 17.49/17.80 1115 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,694,a)]. 17.49/17.80 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | relation(f102(c1,A)). [resolve(1115,a,976,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | relation(f102(c32,A)). [resolve(1115,a,981,a)]. 17.49/17.81 1116 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,695,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | -in(D,A) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f102(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1116,a,976,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | -in(D,A) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f102(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1116,a,981,a)]. 17.49/17.81 1117 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,696,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1117,a,976,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1117,a,981,a)]. 17.49/17.81 1118 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(894,b,697,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | function(f102(c1,A)). [resolve(1118,a,976,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | function(f102(c32,A)). [resolve(1118,a,981,a)]. 17.49/17.81 1119 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,698,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | f101(c1,A) != f100(c1,A) | relation(f102(c1,A)). [resolve(1119,a,976,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | f101(c32,A) != f100(c32,A) | relation(f102(c32,A)). [resolve(1119,a,981,a)]. 17.49/17.81 1120 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,699,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | f101(c1,A) != f100(c1,A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1120,a,976,a)]. 17.49/17.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | f101(c32,A) != f100(c32,A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1120,a,981,a)]. 17.60/17.82 1121 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,700,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | f101(c1,A) != f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1121,a,976,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | f101(c32,A) != f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1121,a,981,a)]. 17.60/17.82 1122 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,701,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f98(c1,A,B) = f97(c1,A) | f101(c1,A) != f100(c1,A) | function(f102(c1,A)). [resolve(1122,a,976,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f98(c32,A,B) = f97(c32,A) | f101(c32,A) != f100(c32,A) | function(f102(c32,A)). [resolve(1122,a,981,a)]. 17.60/17.82 1123 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,702,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | in(f99(c1,A),A) | relation(f102(c1,A)). [resolve(1123,a,976,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | in(f99(c32,A),A) | relation(f102(c32,A)). [resolve(1123,a,981,a)]. 17.60/17.82 1124 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,703,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | in(f99(c1,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1124,a,976,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | in(f99(c32,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1124,a,981,a)]. 17.60/17.82 1125 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,704,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | in(f99(c1,A),A) | relation_dom(f102(c1,A)) = A. [resolve(1125,a,976,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | in(f99(c32,A),A) | relation_dom(f102(c32,A)) = A. [resolve(1125,a,981,a)]. 17.60/17.82 1126 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,705,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | in(f99(c1,A),A) | function(f102(c1,A)). [resolve(1126,a,976,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | in(f99(c32,A),A) | function(f102(c32,A)). [resolve(1126,a,981,a)]. 17.60/17.82 1127 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,706,a)]. 17.60/17.82 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | relation(f102(c1,A)). [resolve(1127,a,976,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | relation(f102(c32,A)). [resolve(1127,a,981,a)]. 17.60/17.83 1128 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,707,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | -in(D,A) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f102(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1128,a,976,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | -in(D,A) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f102(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1128,a,981,a)]. 17.60/17.83 1129 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,708,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1129,a,976,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1129,a,981,a)]. 17.60/17.83 1130 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(894,b,709,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f100(c1,A) | function(f102(c1,A)). [resolve(1130,a,976,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f100(c32,A) | function(f102(c32,A)). [resolve(1130,a,981,a)]. 17.60/17.83 1131 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,710,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | relation(f102(c1,A)). [resolve(1131,a,976,a)]. 17.60/17.83 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | relation(f102(c32,A)). [resolve(1131,a,981,a)]. 17.60/17.83 1132 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(894,b,711,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | -in(D,A) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f102(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1132,a,976,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | -in(D,A) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f102(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1132,a,981,a)]. 17.60/17.84 1133 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,712,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1133,a,976,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1133,a,981,a)]. 17.60/17.84 1134 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(894,b,713,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f99(c1,A) | subset_complement(the_carrier(c1),C) = f101(c1,A) | function(f102(c1,A)). [resolve(1134,a,976,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f99(c32,A) | subset_complement(the_carrier(c32),C) = f101(c32,A) | function(f102(c32,A)). [resolve(1134,a,981,a)]. 17.60/17.84 1135 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,714,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | f101(c1,A) != f100(c1,A) | relation(f102(c1,A)). [resolve(1135,a,976,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | f101(c32,A) != f100(c32,A) | relation(f102(c32,A)). [resolve(1135,a,981,a)]. 17.60/17.84 1136 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,715,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | f101(c1,A) != f100(c1,A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1136,a,976,a)]. 17.60/17.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | f101(c32,A) != f100(c32,A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1136,a,981,a)]. 17.60/17.84 1137 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,716,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | f101(c1,A) != f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1137,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | f101(c32,A) != f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1137,a,981,a)]. 17.60/17.85 1138 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,717,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f98(c1,A,B)) != B | f101(c1,A) != f100(c1,A) | function(f102(c1,A)). [resolve(1138,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f98(c32,A,B)) != B | f101(c32,A) != f100(c32,A) | function(f102(c32,A)). [resolve(1138,a,981,a)]. 17.60/17.85 1139 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(894,b,718,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | in(f99(c1,A),A) | relation(f102(c1,A)). [resolve(1139,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | in(f99(c32,A),A) | relation(f102(c32,A)). [resolve(1139,a,981,a)]. 17.60/17.85 1140 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(894,b,719,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | in(f99(c1,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c1))) | C != B | apply(f102(c1,A),B) = subset_complement(the_carrier(c1),C). [resolve(1140,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | in(f99(c32,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c32))) | C != B | apply(f102(c32,A),B) = subset_complement(the_carrier(c32),C). [resolve(1140,a,981,a)]. 17.60/17.85 1141 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(894,b,720,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | in(f99(c1,A),A) | relation_dom(f102(c1,A)) = A. [resolve(1141,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | in(f99(c32,A),A) | relation_dom(f102(c32,A)) = A. [resolve(1141,a,981,a)]. 17.60/17.85 1142 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(894,b,721,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | in(f99(c1,A),A) | function(f102(c1,A)). [resolve(1142,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | in(f99(c32,A),A) | function(f102(c32,A)). [resolve(1142,a,981,a)]. 17.60/17.85 1143 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation(f102(A,B)). [resolve(894,b,722,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f100(c1,A) | relation(f102(c1,A)). [resolve(1143,a,976,a)]. 17.60/17.85 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f100(c32,A) | relation(f102(c32,A)). [resolve(1143,a,981,a)]. 17.60/17.85 1144 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,723,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f100(c1,A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1144,a,976,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f100(c32,A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1144,a,981,a)]. 17.60/17.86 1145 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,724,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1145,a,976,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1145,a,981,a)]. 17.60/17.86 1146 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | function(f102(A,B)). [resolve(894,b,725,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f100(c1,A) | function(f102(c1,A)). [resolve(1146,a,976,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f100(c32,A) | function(f102(c32,A)). [resolve(1146,a,981,a)]. 17.60/17.86 1147 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation(f102(A,B)). [resolve(894,b,726,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f101(c1,A) | relation(f102(c1,A)). [resolve(1147,a,976,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f101(c32,A) | relation(f102(c32,A)). [resolve(1147,a,981,a)]. 17.60/17.86 1148 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(894,b,727,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f101(c1,A) | -in(C,A) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f102(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1148,a,976,a)]. 17.60/17.86 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f101(c32,A) | -in(C,A) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f102(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1148,a,981,a)]. 17.60/17.86 1149 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,728,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f101(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1149,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f101(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1149,a,981,a)]. 17.60/17.87 1150 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | function(f102(A,B)). [resolve(894,b,729,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f99(c1,A) | subset_complement(the_carrier(c1),B) = f101(c1,A) | function(f102(c1,A)). [resolve(1150,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f99(c32,A) | subset_complement(the_carrier(c32),B) = f101(c32,A) | function(f102(c32,A)). [resolve(1150,a,981,a)]. 17.60/17.87 1151 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(894,b,730,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | f101(c1,A) != f100(c1,A) | relation(f102(c1,A)). [resolve(1151,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | f101(c32,A) != f100(c32,A) | relation(f102(c32,A)). [resolve(1151,a,981,a)]. 17.60/17.87 1152 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(894,b,731,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | f101(c1,A) != f100(c1,A) | -in(B,A) | -element(C,powerset(the_carrier(c1))) | C != B | apply(f102(c1,A),B) = subset_complement(the_carrier(c1),C). [resolve(1152,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | f101(c32,A) != f100(c32,A) | -in(B,A) | -element(C,powerset(the_carrier(c32))) | C != B | apply(f102(c32,A),B) = subset_complement(the_carrier(c32),C). [resolve(1152,a,981,a)]. 17.60/17.87 1153 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(894,b,732,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | f101(c1,A) != f100(c1,A) | relation_dom(f102(c1,A)) = A. [resolve(1153,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | f101(c32,A) != f100(c32,A) | relation_dom(f102(c32,A)) = A. [resolve(1153,a,981,a)]. 17.60/17.87 1154 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(894,b,733,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f97(c1,A),A) | f101(c1,A) != f100(c1,A) | function(f102(c1,A)). [resolve(1154,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f97(c32,A),A) | f101(c32,A) != f100(c32,A) | function(f102(c32,A)). [resolve(1154,a,981,a)]. 17.60/17.87 1155 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(894,b,734,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -is_a_cover_of_carrier(c1,A) | union_of_subsets(the_carrier(c1),A) = cast_as_carrier_subset(c1). [resolve(1155,a,976,a)]. 17.60/17.87 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -is_a_cover_of_carrier(c32,A) | union_of_subsets(the_carrier(c32),A) = cast_as_carrier_subset(c32). [resolve(1155,a,981,a)]. 17.60/17.87 1156 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(894,b,735,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | is_a_cover_of_carrier(c1,A) | union_of_subsets(the_carrier(c1),A) != cast_as_carrier_subset(c1). [resolve(1156,a,976,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | is_a_cover_of_carrier(c32,A) | union_of_subsets(the_carrier(c32),A) != cast_as_carrier_subset(c32). [resolve(1156,a,981,a)]. 17.60/17.88 1157 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,736,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f108(c1,A) | element(f111(c1,A,C,D),powerset(the_carrier(c1))) | -in(D,A) | in(C,f110(c1,A)). [resolve(1157,a,976,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f108(c32,A) | element(f111(c32,A,C,D),powerset(the_carrier(c32))) | -in(D,A) | in(C,f110(c32,A)). [resolve(1157,a,981,a)]. 17.60/17.88 1158 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,737,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f108(c1,A) | f111(c1,A,C,D) = D | -in(D,A) | in(C,f110(c1,A)). [resolve(1158,a,976,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f108(c32,A) | f111(c32,A,C,D) = D | -in(D,A) | in(C,f110(c32,A)). [resolve(1158,a,981,a)]. 17.60/17.88 1159 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,738,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f108(c1,A) | subset_complement(the_carrier(c1),f111(c1,A,C,D)) != C | -in(D,A) | in(C,f110(c1,A)). [resolve(1159,a,976,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f108(c32,A) | subset_complement(the_carrier(c32),f111(c32,A,C,D)) != C | -in(D,A) | in(C,f110(c32,A)). [resolve(1159,a,981,a)]. 17.60/17.88 1160 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(894,b,739,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f108(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f112(c1,A,D) | subset_complement(the_carrier(c1),C) = D | -in(D,f110(c1,A)). [resolve(1160,a,976,a)]. 17.60/17.88 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f108(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f112(c32,A,D) | subset_complement(the_carrier(c32),C) = D | -in(D,f110(c32,A)). [resolve(1160,a,981,a)]. 17.60/17.88 1161 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(894,b,740,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f108(c1,A) | in(f112(c1,A,C),A) | -in(C,f110(c1,A)). [resolve(1161,a,976,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f108(c32,A) | in(f112(c32,A,C),A) | -in(C,f110(c32,A)). [resolve(1161,a,981,a)]. 17.60/17.89 1162 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,741,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f109(c1,A) | element(f111(c1,A,C,D),powerset(the_carrier(c1))) | -in(D,A) | in(C,f110(c1,A)). [resolve(1162,a,976,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f109(c32,A) | element(f111(c32,A,C,D),powerset(the_carrier(c32))) | -in(D,A) | in(C,f110(c32,A)). [resolve(1162,a,981,a)]. 17.60/17.89 1163 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,742,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f109(c1,A) | f111(c1,A,C,D) = D | -in(D,A) | in(C,f110(c1,A)). [resolve(1163,a,976,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f109(c32,A) | f111(c32,A,C,D) = D | -in(D,A) | in(C,f110(c32,A)). [resolve(1163,a,981,a)]. 17.60/17.89 1164 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(894,b,743,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f109(c1,A) | subset_complement(the_carrier(c1),f111(c1,A,C,D)) != C | -in(D,A) | in(C,f110(c1,A)). [resolve(1164,a,976,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f109(c32,A) | subset_complement(the_carrier(c32),f111(c32,A,C,D)) != C | -in(D,A) | in(C,f110(c32,A)). [resolve(1164,a,981,a)]. 17.60/17.89 1165 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(894,b,744,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f109(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f112(c1,A,D) | subset_complement(the_carrier(c1),C) = D | -in(D,f110(c1,A)). [resolve(1165,a,976,a)]. 17.60/17.89 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f109(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f112(c32,A,D) | subset_complement(the_carrier(c32),C) = D | -in(D,f110(c32,A)). [resolve(1165,a,981,a)]. 17.60/17.89 1166 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(894,b,745,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f107(c1,A) | subset_complement(the_carrier(c1),B) = f109(c1,A) | in(f112(c1,A,C),A) | -in(C,f110(c1,A)). [resolve(1166,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f107(c32,A) | subset_complement(the_carrier(c32),B) = f109(c32,A) | in(f112(c32,A,C),A) | -in(C,f110(c32,A)). [resolve(1166,a,981,a)]. 17.69/17.91 1167 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,746,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f107(c1,A),A) | element(f111(c1,A,B,C),powerset(the_carrier(c1))) | -in(C,A) | in(B,f110(c1,A)). [resolve(1167,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f107(c32,A),A) | element(f111(c32,A,B,C),powerset(the_carrier(c32))) | -in(C,A) | in(B,f110(c32,A)). [resolve(1167,a,981,a)]. 17.69/17.91 1168 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,747,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f107(c1,A),A) | f111(c1,A,B,C) = C | -in(C,A) | in(B,f110(c1,A)). [resolve(1168,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f107(c32,A),A) | f111(c32,A,B,C) = C | -in(C,A) | in(B,f110(c32,A)). [resolve(1168,a,981,a)]. 17.69/17.91 1169 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,748,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f107(c1,A),A) | subset_complement(the_carrier(c1),f111(c1,A,B,C)) != B | -in(C,A) | in(B,f110(c1,A)). [resolve(1169,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f107(c32,A),A) | subset_complement(the_carrier(c32),f111(c32,A,B,C)) != B | -in(C,A) | in(B,f110(c32,A)). [resolve(1169,a,981,a)]. 17.69/17.91 1170 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(894,b,749,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f107(c1,A),A) | -element(B,powerset(the_carrier(c1))) | B != f112(c1,A,C) | subset_complement(the_carrier(c1),B) = C | -in(C,f110(c1,A)). [resolve(1170,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f107(c32,A),A) | -element(B,powerset(the_carrier(c32))) | B != f112(c32,A,C) | subset_complement(the_carrier(c32),B) = C | -in(C,f110(c32,A)). [resolve(1170,a,981,a)]. 17.69/17.91 1171 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(894,b,750,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f107(c1,A),A) | in(f112(c1,A,B),A) | -in(B,f110(c1,A)). [resolve(1171,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f107(c32,A),A) | in(f112(c32,A,B),A) | -in(B,f110(c32,A)). [resolve(1171,a,981,a)]. 17.69/17.91 1172 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,751,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f109(c1,A) != f108(c1,A) | element(f111(c1,A,B,C),powerset(the_carrier(c1))) | -in(C,A) | in(B,f110(c1,A)). [resolve(1172,a,976,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f109(c32,A) != f108(c32,A) | element(f111(c32,A,B,C),powerset(the_carrier(c32))) | -in(C,A) | in(B,f110(c32,A)). [resolve(1172,a,981,a)]. 17.69/17.91 1173 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,752,a)]. 17.69/17.91 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f109(c1,A) != f108(c1,A) | f111(c1,A,B,C) = C | -in(C,A) | in(B,f110(c1,A)). [resolve(1173,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f109(c32,A) != f108(c32,A) | f111(c32,A,B,C) = C | -in(C,A) | in(B,f110(c32,A)). [resolve(1173,a,981,a)]. 17.69/17.92 1174 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(894,b,753,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f109(c1,A) != f108(c1,A) | subset_complement(the_carrier(c1),f111(c1,A,B,C)) != B | -in(C,A) | in(B,f110(c1,A)). [resolve(1174,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f109(c32,A) != f108(c32,A) | subset_complement(the_carrier(c32),f111(c32,A,B,C)) != B | -in(C,A) | in(B,f110(c32,A)). [resolve(1174,a,981,a)]. 17.69/17.92 1175 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(894,b,754,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f109(c1,A) != f108(c1,A) | -element(B,powerset(the_carrier(c1))) | B != f112(c1,A,C) | subset_complement(the_carrier(c1),B) = C | -in(C,f110(c1,A)). [resolve(1175,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f109(c32,A) != f108(c32,A) | -element(B,powerset(the_carrier(c32))) | B != f112(c32,A,C) | subset_complement(the_carrier(c32),B) = C | -in(C,f110(c32,A)). [resolve(1175,a,981,a)]. 17.69/17.92 1176 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(894,b,755,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f109(c1,A) != f108(c1,A) | in(f112(c1,A,B),A) | -in(B,f110(c1,A)). [resolve(1176,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f109(c32,A) != f108(c32,A) | in(f112(c32,A,B),A) | -in(B,f110(c32,A)). [resolve(1176,a,981,a)]. 17.69/17.92 1177 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(894,b,758,b)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f130(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | element(f134(c1,A,C,B),powerset(the_carrier(c1))) | in(C,f133(c1,A)). [resolve(1177,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f130(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | element(f134(c32,A,C,B),powerset(the_carrier(c32))) | in(C,f133(c32,A)). [resolve(1177,a,981,a)]. 17.69/17.92 1178 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(894,b,759,b)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f130(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | f134(c1,A,C,B) = B | in(C,f133(c1,A)). [resolve(1178,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f130(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | f134(c32,A,C,B) = B | in(C,f133(c32,A)). [resolve(1178,a,981,a)]. 17.69/17.92 1179 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(894,b,760,b)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f130(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f134(c1,A,C,B)) != C | in(C,f133(c1,A)). [resolve(1179,a,976,a)]. 17.69/17.92 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f130(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f134(c32,A,C,B)) != C | in(C,f133(c32,A)). [resolve(1179,a,981,a)]. 17.69/17.93 1180 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(894,b,761,b)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f130(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(f135(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(B,f133(c1,A)). [resolve(1180,a,976,a)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f130(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(f135(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(B,f133(c32,A)). [resolve(1180,a,981,a)]. 17.69/17.93 1181 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(894,b,762,b)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f130(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f135(c1,A,C) | subset_complement(the_carrier(c1),B) = C | -in(C,f133(c1,A)). [resolve(1181,a,976,a)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f130(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f135(c32,A,C) | subset_complement(the_carrier(c32),B) = C | -in(C,f133(c32,A)). [resolve(1181,a,981,a)]. 17.69/17.93 1182 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(894,b,763,b)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f132(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | element(f134(c1,A,D,C),powerset(the_carrier(c1))) | in(D,f133(c1,A)). [resolve(1182,a,976,a)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f132(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | element(f134(c32,A,D,C),powerset(the_carrier(c32))) | in(D,f133(c32,A)). [resolve(1182,a,981,a)]. 17.69/17.93 1183 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(894,b,764,b)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f132(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | f134(c1,A,D,C) = C | in(D,f133(c1,A)). [resolve(1183,a,976,a)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f132(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | f134(c32,A,D,C) = C | in(D,f133(c32,A)). [resolve(1183,a,981,a)]. 17.69/17.93 1184 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(894,b,765,b)]. 17.69/17.93 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f132(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f134(c1,A,D,C)) != D | in(D,f133(c1,A)). [resolve(1184,a,976,a)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f132(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f134(c32,A,D,C)) != D | in(D,f133(c32,A)). [resolve(1184,a,981,a)]. 17.69/17.94 1185 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(894,b,766,b)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f132(c1,A) | in(f135(c1,A,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f133(c1,A)). [resolve(1185,a,976,a)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f132(c32,A) | in(f135(c32,A,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f133(c32,A)). [resolve(1185,a,981,a)]. 17.69/17.94 1186 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(894,b,767,b)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f132(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f135(c1,A,D) | subset_complement(the_carrier(c1),C) = D | -in(D,f133(c1,A)). [resolve(1186,a,976,a)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f132(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f135(c32,A,D) | subset_complement(the_carrier(c32),C) = D | -in(D,f133(c32,A)). [resolve(1186,a,981,a)]. 17.69/17.94 1187 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(894,b,768,b)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f131(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | element(f134(c1,A,D,C),powerset(the_carrier(c1))) | in(D,f133(c1,A)). [resolve(1187,a,976,a)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f131(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | element(f134(c32,A,D,C),powerset(the_carrier(c32))) | in(D,f133(c32,A)). [resolve(1187,a,981,a)]. 17.69/17.94 1188 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(894,b,769,b)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f131(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | f134(c1,A,D,C) = C | in(D,f133(c1,A)). [resolve(1188,a,976,a)]. 17.69/17.94 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f131(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | f134(c32,A,D,C) = C | in(D,f133(c32,A)). [resolve(1188,a,981,a)]. 17.69/17.94 1189 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(894,b,770,b)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f131(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f134(c1,A,D,C)) != D | in(D,f133(c1,A)). [resolve(1189,a,976,a)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f131(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f134(c32,A,D,C)) != D | in(D,f133(c32,A)). [resolve(1189,a,981,a)]. 17.69/17.95 1190 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(894,b,771,b)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f131(c1,A) | in(f135(c1,A,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f133(c1,A)). [resolve(1190,a,976,a)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f131(c32,A) | in(f135(c32,A,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f133(c32,A)). [resolve(1190,a,981,a)]. 17.69/17.95 1191 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(894,b,772,b)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f130(c1,A) | subset_complement(the_carrier(c1),B) = f131(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f135(c1,A,D) | subset_complement(the_carrier(c1),C) = D | -in(D,f133(c1,A)). [resolve(1191,a,976,a)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f130(c32,A) | subset_complement(the_carrier(c32),B) = f131(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f135(c32,A,D) | subset_complement(the_carrier(c32),C) = D | -in(D,f133(c32,A)). [resolve(1191,a,981,a)]. 17.69/17.95 1192 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(894,b,773,b)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f132(c1,A) != f131(c1,A) | -in(B,complements_of_subsets(the_carrier(c1),A)) | element(f134(c1,A,C,B),powerset(the_carrier(c1))) | in(C,f133(c1,A)). [resolve(1192,a,976,a)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f132(c32,A) != f131(c32,A) | -in(B,complements_of_subsets(the_carrier(c32),A)) | element(f134(c32,A,C,B),powerset(the_carrier(c32))) | in(C,f133(c32,A)). [resolve(1192,a,981,a)]. 17.69/17.95 1193 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(894,b,774,b)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f132(c1,A) != f131(c1,A) | -in(B,complements_of_subsets(the_carrier(c1),A)) | f134(c1,A,C,B) = B | in(C,f133(c1,A)). [resolve(1193,a,976,a)]. 17.69/17.95 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f132(c32,A) != f131(c32,A) | -in(B,complements_of_subsets(the_carrier(c32),A)) | f134(c32,A,C,B) = B | in(C,f133(c32,A)). [resolve(1193,a,981,a)]. 17.69/17.95 1194 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(894,b,775,b)]. 17.69/17.96 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f132(c1,A) != f131(c1,A) | -in(B,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f134(c1,A,C,B)) != C | in(C,f133(c1,A)). [resolve(1194,a,976,a)]. 17.69/17.96 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f132(c32,A) != f131(c32,A) | -in(B,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f134(c32,A,C,B)) != C | in(C,f133(c32,A)). [resolve(1194,a,981,a)]. 17.69/17.96 1195 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(894,b,776,b)]. 17.69/17.96 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f132(c1,A) != f131(c1,A) | in(f135(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(B,f133(c1,A)). [resolve(1195,a,976,a)]. 17.69/17.96 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f132(c32,A) != f131(c32,A) | in(f135(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(B,f133(c32,A)). [resolve(1195,a,981,a)]. 17.69/17.96 1196 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(894,b,777,b)]. 17.69/17.96 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f132(c1,A) != f131(c1,A) | -element(B,powerset(the_carrier(c1))) | B != f135(c1,A,C) | subset_complement(the_carrier(c1),B) = C | -in(C,f133(c1,A)). [resolve(1196,a,976,a)]. 17.69/17.96 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f132(c32,A) != f131(c32,A) | -element(B,powerset(the_carrier(c32))) | B != f135(c32,A,C) | subset_complement(the_carrier(c32),B) = C | -in(C,f133(c32,A)). [resolve(1196,a,981,a)]. 17.69/17.96 1197 -rel_str(A) | v3_membered(empty_carrier_subset(A)). [resolve(894,b,778,a)]. 17.69/17.96 Derived: v3_membered(empty_carrier_subset(c1)). [resolve(1197,a,976,a)]. 17.69/17.96 Derived: v3_membered(empty_carrier_subset(c32)). [resolve(1197,a,981,a)]. 17.69/17.96 1198 -rel_str(A) | v4_membered(empty_carrier_subset(A)). [resolve(894,b,779,a)]. 17.69/17.96 Derived: v4_membered(empty_carrier_subset(c1)). [resolve(1198,a,976,a)]. 17.69/17.96 Derived: v4_membered(empty_carrier_subset(c32)). [resolve(1198,a,981,a)]. 17.69/17.96 1199 -rel_str(A) | v5_membered(empty_carrier_subset(A)). [resolve(894,b,780,a)]. 17.69/17.96 Derived: v5_membered(empty_carrier_subset(c1)). [resolve(1199,a,976,a)]. 17.69/17.96 Derived: v5_membered(empty_carrier_subset(c32)). [resolve(1199,a,981,a)]. 17.69/17.96 1200 -rel_str(A) | v2_membered(empty_carrier_subset(A)). [resolve(894,b,781,a)]. 17.69/17.96 Derived: v2_membered(empty_carrier_subset(c1)). [resolve(1200,a,976,a)]. 17.69/17.96 Derived: v2_membered(empty_carrier_subset(c32)). [resolve(1200,a,981,a)]. 17.69/17.96 1201 -rel_str(A) | v1_membered(empty_carrier_subset(A)). [resolve(894,b,782,a)]. 17.69/17.96 Derived: v1_membered(empty_carrier_subset(c1)). [resolve(1201,a,976,a)]. 17.69/17.96 Derived: v1_membered(empty_carrier_subset(c32)). [resolve(1201,a,981,a)]. 17.69/17.96 1202 -rel_str(A) | empty(empty_carrier_subset(A)). [resolve(894,b,783,a)]. 17.69/17.96 Derived: empty(empty_carrier_subset(c1)). [resolve(1202,a,976,a)]. 17.69/17.96 Derived: empty(empty_carrier_subset(c32)). [resolve(1202,a,981,a)]. 17.69/17.96 1203 -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B. [resolve(894,b,784,a)]. 17.69/17.96 Derived: -element(A,powerset(the_carrier(c1))) | subset_intersection2(the_carrier(c1),A,cast_as_carrier_subset(c1)) = A. [resolve(1203,a,976,a)]. 17.69/17.96 Derived: -element(A,powerset(the_carrier(c32))) | subset_intersection2(the_carrier(c32),A,cast_as_carrier_subset(c32)) = A. [resolve(1203,a,981,a)]. 17.69/17.96 1204 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,785,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1204,a,976,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1204,a,981,a)]. 17.69/17.97 1205 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,786,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1205,a,976,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1205,a,981,a)]. 17.69/17.97 1206 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,787,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1206,a,976,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1206,a,981,a)]. 17.69/17.97 1207 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,788,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1207,a,976,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1207,a,981,a)]. 17.69/17.97 1208 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,789,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1208,a,976,a)]. 17.69/17.97 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1208,a,981,a)]. 17.69/17.97 1209 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,790,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1209,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1209,a,981,a)]. 17.69/17.98 1210 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,791,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1210,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1210,a,981,a)]. 17.69/17.98 1211 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,792,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f166(c1,A,B) = f165(c1,A,B) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1211,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f166(c32,A,B) = f165(c32,A,B) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1211,a,981,a)]. 17.69/17.98 1212 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,793,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1212,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1212,a,981,a)]. 17.69/17.98 1213 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,794,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1213,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1213,a,981,a)]. 17.69/17.98 1214 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,795,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1214,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1214,a,981,a)]. 17.69/17.98 1215 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,796,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1215,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1215,a,981,a)]. 17.69/17.98 1216 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,797,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1216,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1216,a,981,a)]. 17.69/17.98 1217 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,798,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1217,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1217,a,981,a)]. 17.69/17.98 1218 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,799,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1218,a,976,a)]. 17.69/17.98 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1218,a,981,a)]. 17.69/17.98 1219 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,800,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f168(c1,A,B),f169(c1,A,B)) = f166(c1,A,B) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1219,a,976,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f168(c32,A,B),f169(c32,A,B)) = f166(c32,A,B) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1219,a,981,a)]. 17.69/17.99 1220 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,801,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | ordered_pair(E,F) != V6 | element(f173(c1,A,C,V6,D,E,F),powerset(the_carrier(c1))) | -in(E,complements_of_subsets(the_carrier(c1),A)) | D != V6 | in(V6,f172(c1,A,C)). [resolve(1220,a,976,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | ordered_pair(E,F) != V6 | element(f173(c32,A,C,V6,D,E,F),powerset(the_carrier(c32))) | -in(E,complements_of_subsets(the_carrier(c32),A)) | D != V6 | in(V6,f172(c32,A,C)). [resolve(1220,a,981,a)]. 17.69/17.99 1221 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,802,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | ordered_pair(E,F) != V6 | f173(c1,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c1),A)) | D != V6 | in(V6,f172(c1,A,C)). [resolve(1221,a,976,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | ordered_pair(E,F) != V6 | f173(c32,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c32),A)) | D != V6 | in(V6,f172(c32,A,C)). [resolve(1221,a,981,a)]. 17.69/17.99 1222 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,803,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c1),f173(c1,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c1),A)) | D != V6 | in(V6,f172(c1,A,C)). [resolve(1222,a,976,a)]. 17.69/17.99 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c32),f173(c32,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c32),A)) | D != V6 | in(V6,f172(c32,A,C)). [resolve(1222,a,981,a)]. 17.69/18.00 1223 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(894,b,804,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | in(f174(c1,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | -in(D,f172(c1,A,C)). [resolve(1223,a,976,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | in(f174(c32,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | -in(D,f172(c32,A,C)). [resolve(1223,a,981,a)]. 17.69/18.00 1224 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(894,b,805,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | ordered_pair(f175(c1,A,C,D),f176(c1,A,C,D)) = D | -in(D,f172(c1,A,C)). [resolve(1224,a,976,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | ordered_pair(f175(c32,A,C,D),f176(c32,A,C,D)) = D | -in(D,f172(c32,A,C)). [resolve(1224,a,981,a)]. 17.69/18.00 1225 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(894,b,806,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | -element(D,powerset(the_carrier(c1))) | D != f175(c1,A,C,E) | subset_complement(the_carrier(c1),D) = f176(c1,A,C,E) | -in(E,f172(c1,A,C)). [resolve(1225,a,976,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | -element(D,powerset(the_carrier(c32))) | D != f175(c32,A,C,E) | subset_complement(the_carrier(c32),D) = f176(c32,A,C,E) | -in(E,f172(c32,A,C)). [resolve(1225,a,981,a)]. 17.69/18.00 1226 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(894,b,807,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | in(f175(c1,A,C,D),complements_of_subsets(the_carrier(c1),A)) | -in(D,f172(c1,A,C)). [resolve(1226,a,976,a)]. 17.69/18.00 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | in(f175(c32,A,C,D),complements_of_subsets(the_carrier(c32),A)) | -in(D,f172(c32,A,C)). [resolve(1226,a,981,a)]. 17.69/18.00 1227 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(894,b,808,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f168(c1,A,C) | subset_complement(the_carrier(c1),B) = f169(c1,A,C) | f174(c1,A,C,D) = D | -in(D,f172(c1,A,C)). [resolve(1227,a,976,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f168(c32,A,C) | subset_complement(the_carrier(c32),B) = f169(c32,A,C) | f174(c32,A,C,D) = D | -in(D,f172(c32,A,C)). [resolve(1227,a,981,a)]. 17.79/18.01 1228 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,809,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1228,a,976,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1228,a,981,a)]. 17.79/18.01 1229 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,810,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1229,a,976,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1229,a,981,a)]. 17.79/18.01 1230 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,811,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1230,a,976,a)]. 17.79/18.01 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1230,a,981,a)]. 17.79/18.01 1231 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,812,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1231,a,976,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1231,a,981,a)]. 17.79/18.02 1232 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,813,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1232,a,976,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1232,a,981,a)]. 17.79/18.02 1233 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,814,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1233,a,976,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1233,a,981,a)]. 17.79/18.02 1234 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,815,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1234,a,976,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1234,a,981,a)]. 17.79/18.02 1235 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,816,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f168(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1235,a,976,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f168(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1235,a,981,a)]. 17.79/18.02 1236 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,817,a)]. 17.79/18.02 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1236,a,976,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1236,a,981,a)]. 17.79/18.03 1237 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,818,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1237,a,976,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1237,a,981,a)]. 17.79/18.03 1238 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,819,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1238,a,976,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1238,a,981,a)]. 17.79/18.03 1239 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,820,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1239,a,976,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1239,a,981,a)]. 17.79/18.03 1240 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,821,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1240,a,976,a)]. 17.79/18.03 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1240,a,981,a)]. 17.79/18.04 1241 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,822,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1241,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1241,a,981,a)]. 17.79/18.04 1242 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,823,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1242,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1242,a,981,a)]. 17.79/18.04 1243 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,824,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | ordered_pair(f170(c1,A,B),f171(c1,A,B)) = f167(c1,A,B) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1243,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | ordered_pair(f170(c32,A,B),f171(c32,A,B)) = f167(c32,A,B) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1243,a,981,a)]. 17.79/18.04 1244 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,825,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | ordered_pair(E,F) != V6 | element(f173(c1,A,C,V6,D,E,F),powerset(the_carrier(c1))) | -in(E,complements_of_subsets(the_carrier(c1),A)) | D != V6 | in(V6,f172(c1,A,C)). [resolve(1244,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | ordered_pair(E,F) != V6 | element(f173(c32,A,C,V6,D,E,F),powerset(the_carrier(c32))) | -in(E,complements_of_subsets(the_carrier(c32),A)) | D != V6 | in(V6,f172(c32,A,C)). [resolve(1244,a,981,a)]. 17.79/18.04 1245 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,826,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | ordered_pair(E,F) != V6 | f173(c1,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c1),A)) | D != V6 | in(V6,f172(c1,A,C)). [resolve(1245,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | ordered_pair(E,F) != V6 | f173(c32,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c32),A)) | D != V6 | in(V6,f172(c32,A,C)). [resolve(1245,a,981,a)]. 17.79/18.04 1246 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(894,b,827,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c1),f173(c1,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c1),A)) | D != V6 | in(V6,f172(c1,A,C)). [resolve(1246,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c32),f173(c32,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c32),A)) | D != V6 | in(V6,f172(c32,A,C)). [resolve(1246,a,981,a)]. 17.79/18.04 1247 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(894,b,828,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | in(f174(c1,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | -in(D,f172(c1,A,C)). [resolve(1247,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | in(f174(c32,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | -in(D,f172(c32,A,C)). [resolve(1247,a,981,a)]. 17.79/18.04 1248 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(894,b,829,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | ordered_pair(f175(c1,A,C,D),f176(c1,A,C,D)) = D | -in(D,f172(c1,A,C)). [resolve(1248,a,976,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | ordered_pair(f175(c32,A,C,D),f176(c32,A,C,D)) = D | -in(D,f172(c32,A,C)). [resolve(1248,a,981,a)]. 17.79/18.04 1249 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(894,b,830,a)]. 17.79/18.04 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | -element(D,powerset(the_carrier(c1))) | D != f175(c1,A,C,E) | subset_complement(the_carrier(c1),D) = f176(c1,A,C,E) | -in(E,f172(c1,A,C)). [resolve(1249,a,976,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | -element(D,powerset(the_carrier(c32))) | D != f175(c32,A,C,E) | subset_complement(the_carrier(c32),D) = f176(c32,A,C,E) | -in(E,f172(c32,A,C)). [resolve(1249,a,981,a)]. 17.79/18.05 1250 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(894,b,831,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | in(f175(c1,A,C,D),complements_of_subsets(the_carrier(c1),A)) | -in(D,f172(c1,A,C)). [resolve(1250,a,976,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | in(f175(c32,A,C,D),complements_of_subsets(the_carrier(c32),A)) | -in(D,f172(c32,A,C)). [resolve(1250,a,981,a)]. 17.79/18.05 1251 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(894,b,832,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f170(c1,A,C) | subset_complement(the_carrier(c1),B) = f171(c1,A,C) | f174(c1,A,C,D) = D | -in(D,f172(c1,A,C)). [resolve(1251,a,976,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f170(c32,A,C) | subset_complement(the_carrier(c32),B) = f171(c32,A,C) | f174(c32,A,C,D) = D | -in(D,f172(c32,A,C)). [resolve(1251,a,981,a)]. 17.79/18.05 1252 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,833,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1252,a,976,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1252,a,981,a)]. 17.79/18.05 1253 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,834,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1253,a,976,a)]. 17.79/18.05 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1253,a,981,a)]. 17.79/18.06 1254 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,835,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1254,a,976,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1254,a,981,a)]. 17.79/18.06 1255 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,836,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1255,a,976,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1255,a,981,a)]. 17.79/18.06 1256 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,837,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1256,a,976,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1256,a,981,a)]. 17.79/18.06 1257 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,838,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1257,a,976,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1257,a,981,a)]. 17.79/18.06 1258 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,839,a)]. 17.79/18.06 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1258,a,976,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1258,a,981,a)]. 17.79/18.07 1259 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,840,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f170(c1,A,B),complements_of_subsets(the_carrier(c1),A)) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1259,a,976,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f170(c32,A,B),complements_of_subsets(the_carrier(c32),A)) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1259,a,981,a)]. 17.79/18.07 1260 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,841,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1260,a,976,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1260,a,981,a)]. 17.79/18.07 1261 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,842,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1261,a,976,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1261,a,981,a)]. 17.79/18.07 1262 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,843,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1262,a,976,a)]. 17.79/18.07 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1262,a,981,a)]. 17.79/18.07 1263 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,844,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1263,a,976,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1263,a,981,a)]. 17.79/18.08 1264 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,845,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1264,a,976,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1264,a,981,a)]. 17.79/18.08 1265 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,846,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1265,a,976,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1265,a,981,a)]. 17.79/18.08 1266 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,847,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1266,a,976,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1266,a,981,a)]. 17.79/18.08 1267 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,848,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) = f165(c1,A,B) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1267,a,976,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) = f165(c32,A,B) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1267,a,981,a)]. 17.79/18.08 1268 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,849,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | element(f173(c1,A,B,F,C,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1268,a,976,a)]. 17.79/18.08 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | element(f173(c32,A,B,F,C,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1268,a,981,a)]. 17.79/18.09 1269 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,850,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | f173(c1,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1269,a,976,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | f173(c32,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1269,a,981,a)]. 17.79/18.09 1270 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(894,b,851,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c1),f173(c1,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | C != F | in(F,f172(c1,A,B)). [resolve(1270,a,976,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c32),f173(c32,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | C != F | in(F,f172(c32,A,B)). [resolve(1270,a,981,a)]. 17.79/18.09 1271 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(894,b,852,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | in(f174(c1,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c1),A),B)) | -in(C,f172(c1,A,B)). [resolve(1271,a,976,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | in(f174(c32,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c32),A),B)) | -in(C,f172(c32,A,B)). [resolve(1271,a,981,a)]. 17.79/18.09 1272 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(894,b,853,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | ordered_pair(f175(c1,A,B,C),f176(c1,A,B,C)) = C | -in(C,f172(c1,A,B)). [resolve(1272,a,976,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | ordered_pair(f175(c32,A,B,C),f176(c32,A,B,C)) = C | -in(C,f172(c32,A,B)). [resolve(1272,a,981,a)]. 17.79/18.09 1273 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(894,b,854,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | -element(C,powerset(the_carrier(c1))) | C != f175(c1,A,B,D) | subset_complement(the_carrier(c1),C) = f176(c1,A,B,D) | -in(D,f172(c1,A,B)). [resolve(1273,a,976,a)]. 17.79/18.09 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | -element(C,powerset(the_carrier(c32))) | C != f175(c32,A,B,D) | subset_complement(the_carrier(c32),C) = f176(c32,A,B,D) | -in(D,f172(c32,A,B)). [resolve(1273,a,981,a)]. 17.89/18.10 1274 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(894,b,855,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | in(f175(c1,A,B,C),complements_of_subsets(the_carrier(c1),A)) | -in(C,f172(c1,A,B)). [resolve(1274,a,976,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | in(f175(c32,A,B,C),complements_of_subsets(the_carrier(c32),A)) | -in(C,f172(c32,A,B)). [resolve(1274,a,981,a)]. 17.89/18.10 1275 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(894,b,856,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f167(c1,A,B) != f166(c1,A,B) | f174(c1,A,B,C) = C | -in(C,f172(c1,A,B)). [resolve(1275,a,976,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f167(c32,A,B) != f166(c32,A,B) | f174(c32,A,B,C) = C | -in(C,f172(c32,A,B)). [resolve(1275,a,981,a)]. 17.89/18.10 1276 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | relation(f202(A,B)). [resolve(894,b,857,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | relation(f202(c1,A)). [resolve(1276,a,976,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | relation(f202(c32,A)). [resolve(1276,a,981,a)]. 17.89/18.10 1277 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,858,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | -in(ordered_pair(C,D),f202(c1,A)) | in(C,complements_of_subsets(the_carrier(c1),A)). [resolve(1277,a,976,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | -in(ordered_pair(C,D),f202(c32,A)) | in(C,complements_of_subsets(the_carrier(c32),A)). [resolve(1277,a,981,a)]. 17.89/18.10 1278 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(894,b,859,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | -in(ordered_pair(C,D),f202(c1,A)) | -element(E,powerset(the_carrier(c1))) | E != C | subset_complement(the_carrier(c1),E) = D. [resolve(1278,a,976,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | -in(ordered_pair(C,D),f202(c32,A)) | -element(E,powerset(the_carrier(c32))) | E != C | subset_complement(the_carrier(c32),E) = D. [resolve(1278,a,981,a)]. 17.89/18.10 1279 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(894,b,860,a)]. 17.89/18.10 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | in(ordered_pair(C,D),f202(c1,A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | element(f203(c1,A,C,D),powerset(the_carrier(c1))). [resolve(1279,a,976,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | in(ordered_pair(C,D),f202(c32,A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | element(f203(c32,A,C,D),powerset(the_carrier(c32))). [resolve(1279,a,981,a)]. 17.89/18.11 1280 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(894,b,861,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | in(ordered_pair(C,D),f202(c1,A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | f203(c1,A,C,D) = C. [resolve(1280,a,976,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | in(ordered_pair(C,D),f202(c32,A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | f203(c32,A,C,D) = C. [resolve(1280,a,981,a)]. 17.89/18.11 1281 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(894,b,862,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | in(ordered_pair(C,D),f202(c1,A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f203(c1,A,C,D)) != D. [resolve(1281,a,976,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | in(ordered_pair(C,D),f202(c32,A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f203(c32,A,C,D)) != D. [resolve(1281,a,981,a)]. 17.89/18.11 1282 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | function(f202(A,B)). [resolve(894,b,863,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f200(c1,A) | function(f202(c1,A)). [resolve(1282,a,976,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f200(c32,A) | function(f202(c32,A)). [resolve(1282,a,981,a)]. 17.89/18.11 1283 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | relation(f202(A,B)). [resolve(894,b,864,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | relation(f202(c1,A)). [resolve(1283,a,976,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | relation(f202(c32,A)). [resolve(1283,a,981,a)]. 17.89/18.11 1284 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,865,a)]. 17.89/18.11 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | -in(ordered_pair(C,D),f202(c1,A)) | in(C,complements_of_subsets(the_carrier(c1),A)). [resolve(1284,a,976,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | -in(ordered_pair(C,D),f202(c32,A)) | in(C,complements_of_subsets(the_carrier(c32),A)). [resolve(1284,a,981,a)]. 17.89/18.12 1285 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(894,b,866,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | -in(ordered_pair(C,D),f202(c1,A)) | -element(E,powerset(the_carrier(c1))) | E != C | subset_complement(the_carrier(c1),E) = D. [resolve(1285,a,976,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | -in(ordered_pair(C,D),f202(c32,A)) | -element(E,powerset(the_carrier(c32))) | E != C | subset_complement(the_carrier(c32),E) = D. [resolve(1285,a,981,a)]. 17.89/18.12 1286 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(894,b,867,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | in(ordered_pair(C,D),f202(c1,A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | element(f203(c1,A,C,D),powerset(the_carrier(c1))). [resolve(1286,a,976,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | in(ordered_pair(C,D),f202(c32,A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | element(f203(c32,A,C,D),powerset(the_carrier(c32))). [resolve(1286,a,981,a)]. 17.89/18.12 1287 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(894,b,868,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | in(ordered_pair(C,D),f202(c1,A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | f203(c1,A,C,D) = C. [resolve(1287,a,976,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | in(ordered_pair(C,D),f202(c32,A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | f203(c32,A,C,D) = C. [resolve(1287,a,981,a)]. 17.89/18.12 1288 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(894,b,869,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | in(ordered_pair(C,D),f202(c1,A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f203(c1,A,C,D)) != D. [resolve(1288,a,976,a)]. 17.89/18.12 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | in(ordered_pair(C,D),f202(c32,A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f203(c32,A,C,D)) != D. [resolve(1288,a,981,a)]. 17.89/18.13 1289 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | function(f202(A,B)). [resolve(894,b,870,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -element(B,powerset(the_carrier(c1))) | B != f199(c1,A) | subset_complement(the_carrier(c1),B) = f201(c1,A) | function(f202(c1,A)). [resolve(1289,a,976,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -element(B,powerset(the_carrier(c32))) | B != f199(c32,A) | subset_complement(the_carrier(c32),B) = f201(c32,A) | function(f202(c32,A)). [resolve(1289,a,981,a)]. 17.89/18.13 1290 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f202(A,B)). [resolve(894,b,871,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | relation(f202(c1,A)). [resolve(1290,a,976,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | relation(f202(c32,A)). [resolve(1290,a,981,a)]. 17.89/18.13 1291 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,872,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(ordered_pair(B,C),f202(c1,A)) | in(B,complements_of_subsets(the_carrier(c1),A)). [resolve(1291,a,976,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(ordered_pair(B,C),f202(c32,A)) | in(B,complements_of_subsets(the_carrier(c32),A)). [resolve(1291,a,981,a)]. 17.89/18.13 1292 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(894,b,873,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(ordered_pair(B,C),f202(c1,A)) | -element(D,powerset(the_carrier(c1))) | D != B | subset_complement(the_carrier(c1),D) = C. [resolve(1292,a,976,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(ordered_pair(B,C),f202(c32,A)) | -element(D,powerset(the_carrier(c32))) | D != B | subset_complement(the_carrier(c32),D) = C. [resolve(1292,a,981,a)]. 17.89/18.13 1293 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(894,b,874,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(ordered_pair(B,C),f202(c1,A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | element(f203(c1,A,B,C),powerset(the_carrier(c1))). [resolve(1293,a,976,a)]. 17.89/18.13 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(ordered_pair(B,C),f202(c32,A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | element(f203(c32,A,B,C),powerset(the_carrier(c32))). [resolve(1293,a,981,a)]. 17.89/18.13 1294 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(894,b,875,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(ordered_pair(B,C),f202(c1,A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | f203(c1,A,B,C) = B. [resolve(1294,a,976,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(ordered_pair(B,C),f202(c32,A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | f203(c32,A,B,C) = B. [resolve(1294,a,981,a)]. 17.89/18.14 1295 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(894,b,876,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(ordered_pair(B,C),f202(c1,A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f203(c1,A,B,C)) != C. [resolve(1295,a,976,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(ordered_pair(B,C),f202(c32,A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f203(c32,A,B,C)) != C. [resolve(1295,a,981,a)]. 17.89/18.14 1296 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | function(f202(A,B)). [resolve(894,b,877,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f199(c1,A),complements_of_subsets(the_carrier(c1),A)) | function(f202(c1,A)). [resolve(1296,a,976,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f199(c32,A),complements_of_subsets(the_carrier(c32),A)) | function(f202(c32,A)). [resolve(1296,a,981,a)]. 17.89/18.14 1297 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | relation(f202(A,B)). [resolve(894,b,878,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | relation(f202(c1,A)). [resolve(1297,a,976,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | relation(f202(c32,A)). [resolve(1297,a,981,a)]. 17.89/18.14 1298 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(894,b,879,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | -in(ordered_pair(B,C),f202(c1,A)) | in(B,complements_of_subsets(the_carrier(c1),A)). [resolve(1298,a,976,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | -in(ordered_pair(B,C),f202(c32,A)) | in(B,complements_of_subsets(the_carrier(c32),A)). [resolve(1298,a,981,a)]. 17.89/18.14 1299 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(894,b,880,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | -in(ordered_pair(B,C),f202(c1,A)) | -element(D,powerset(the_carrier(c1))) | D != B | subset_complement(the_carrier(c1),D) = C. [resolve(1299,a,976,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | -in(ordered_pair(B,C),f202(c32,A)) | -element(D,powerset(the_carrier(c32))) | D != B | subset_complement(the_carrier(c32),D) = C. [resolve(1299,a,981,a)]. 17.89/18.14 1300 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(894,b,881,a)]. 17.89/18.14 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | in(ordered_pair(B,C),f202(c1,A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | element(f203(c1,A,B,C),powerset(the_carrier(c1))). [resolve(1300,a,976,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | in(ordered_pair(B,C),f202(c32,A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | element(f203(c32,A,B,C),powerset(the_carrier(c32))). [resolve(1300,a,981,a)]. 17.89/18.15 1301 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(894,b,882,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | in(ordered_pair(B,C),f202(c1,A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | f203(c1,A,B,C) = B. [resolve(1301,a,976,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | in(ordered_pair(B,C),f202(c32,A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | f203(c32,A,B,C) = B. [resolve(1301,a,981,a)]. 17.89/18.15 1302 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(894,b,883,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | in(ordered_pair(B,C),f202(c1,A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | subset_complement(the_carrier(c1),f203(c1,A,B,C)) != C. [resolve(1302,a,976,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | in(ordered_pair(B,C),f202(c32,A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | subset_complement(the_carrier(c32),f203(c32,A,B,C)) != C. [resolve(1302,a,981,a)]. 17.89/18.15 1303 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | function(f202(A,B)). [resolve(894,b,884,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f201(c1,A) != f200(c1,A) | function(f202(c1,A)). [resolve(1303,a,976,a)]. 17.89/18.15 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f201(c32,A) != f200(c32,A) | function(f202(c32,A)). [resolve(1303,a,981,a)]. 17.89/18.15 1304 -rel_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(894,b,885,a)]. 17.89/18.15 Derived: empty_carrier(c1) | -empty(cast_as_carrier_subset(c1)). [resolve(1304,a,976,a)]. 17.89/18.15 Derived: empty_carrier(c32) | -empty(cast_as_carrier_subset(c32)). [resolve(1304,a,981,a)]. 17.89/18.15 1305 -rel_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B). [resolve(894,b,886,b)]. 17.89/18.15 Derived: empty_carrier(c1) | -element(A,powerset(the_carrier(c1))) | -element(B,the_carrier(c1)) | -in(B,subset_complement(the_carrier(c1),A)) | -in(B,A). [resolve(1305,a,976,a)]. 17.89/18.15 Derived: empty_carrier(c32) | -element(A,powerset(the_carrier(c32))) | -element(B,the_carrier(c32)) | -in(B,subset_complement(the_carrier(c32),A)) | -in(B,A). [resolve(1305,a,981,a)]. 17.89/18.15 1306 -rel_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B). [resolve(894,b,887,b)]. 17.89/18.15 Derived: empty_carrier(c1) | -element(A,powerset(the_carrier(c1))) | -element(B,the_carrier(c1)) | in(B,subset_complement(the_carrier(c1),A)) | in(B,A). [resolve(1306,a,976,a)]. 17.89/18.15 Derived: empty_carrier(c32) | -element(A,powerset(the_carrier(c32))) | -element(B,the_carrier(c32)) | in(B,subset_complement(the_carrier(c32),A)) | in(B,A). [resolve(1306,a,981,a)]. 17.89/18.15 1307 -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)) = B. [resolve(894,b,888,a)]. 17.89/18.15 Derived: -element(A,powerset(the_carrier(c1))) | subset_difference(the_carrier(c1),cast_as_carrier_subset(c1),subset_difference(the_carrier(c1),cast_as_carrier_subset(c1),A)) = A. [resolve(1307,a,976,a)]. 17.89/18.15 Derived: -element(A,powerset(the_carrier(c32))) | subset_difference(the_carrier(c32),cast_as_carrier_subset(c32),subset_difference(the_carrier(c32),cast_as_carrier_subset(c32),A)) = A. [resolve(1307,a,981,a)]. 17.89/18.17 1308 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B). [resolve(894,b,890,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -finite(complements_of_subsets(the_carrier(c1),A)) | finite(A). [resolve(1308,a,976,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -finite(complements_of_subsets(the_carrier(c32),A)) | finite(A). [resolve(1308,a,981,a)]. 17.89/18.17 1309 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B). [resolve(894,b,891,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | finite(complements_of_subsets(the_carrier(c1),A)) | -finite(A). [resolve(1309,a,976,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | finite(complements_of_subsets(the_carrier(c32),A)) | -finite(A). [resolve(1309,a,981,a)]. 17.89/18.17 1310 -rel_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(894,b,893,a)]. 17.89/18.17 Derived: empty(the_carrier(c1)) | -empty_carrier(c1). [resolve(1310,a,976,a)]. 17.89/18.17 Derived: empty(the_carrier(c32)) | -empty_carrier(c32). [resolve(1310,a,981,a)]. 17.89/18.17 1311 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(895,b,894,b)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | relation(f313(c1,A)). [resolve(1311,e,976,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | relation(f313(c32,A)). [resolve(1311,e,981,a)]. 17.89/18.17 1312 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(896,b,894,b)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1312,h,976,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1312,h,981,a)]. 17.89/18.17 1313 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(897,b,894,b)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1313,e,976,a)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1313,e,981,a)]. 17.89/18.17 1314 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(898,b,894,b)]. 17.89/18.17 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | function(f313(c1,A)). [resolve(1314,e,976,a)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | function(f313(c32,A)). [resolve(1314,e,981,a)]. 17.98/18.19 1315 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(899,b,894,b)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | relation(f313(c1,A)). [resolve(1315,g,976,a)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | relation(f313(c32,A)). [resolve(1315,g,981,a)]. 17.98/18.19 1316 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(900,b,894,b)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | -in(D,complements_of_subsets(the_carrier(c1),A)) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f313(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1316,j,976,a)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | -in(D,complements_of_subsets(the_carrier(c32),A)) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f313(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1316,j,981,a)]. 17.98/18.19 1317 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(901,b,894,b)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1317,g,976,a)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1317,g,981,a)]. 17.98/18.19 1318 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(902,b,894,b)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | function(f313(c1,A)). [resolve(1318,g,976,a)]. 17.98/18.19 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | function(f313(c32,A)). [resolve(1318,g,981,a)]. 17.99/18.22 1319 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(903,b,894,b)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | relation(f313(c1,A)). [resolve(1319,g,976,a)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | relation(f313(c32,A)). [resolve(1319,g,981,a)]. 17.99/18.22 1320 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(904,b,894,b)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | -in(D,complements_of_subsets(the_carrier(c1),A)) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f313(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1320,j,976,a)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | -in(D,complements_of_subsets(the_carrier(c32),A)) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f313(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1320,j,981,a)]. 17.99/18.22 1321 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(905,b,894,b)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1321,g,976,a)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1321,g,981,a)]. 17.99/18.22 1322 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(906,b,894,b)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | function(f313(c1,A)). [resolve(1322,g,976,a)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | function(f313(c32,A)). [resolve(1322,g,981,a)]. 17.99/18.22 1323 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(907,b,894,b)]. 17.99/18.22 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | f312(c1,A) != f311(c1,A) | relation(f313(c1,A)). [resolve(1323,e,976,a)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | f312(c32,A) != f311(c32,A) | relation(f313(c32,A)). [resolve(1323,e,981,a)]. 17.99/18.24 1324 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(908,b,894,b)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | f312(c1,A) != f311(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1324,h,976,a)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | f312(c32,A) != f311(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1324,h,981,a)]. 17.99/18.24 1325 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(909,b,894,b)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | f312(c1,A) != f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1325,e,976,a)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | f312(c32,A) != f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1325,e,981,a)]. 17.99/18.24 1326 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(910,b,894,b)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | element(f309(c1,A,B),powerset(the_carrier(c1))) | f312(c1,A) != f311(c1,A) | function(f313(c1,A)). [resolve(1326,e,976,a)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | element(f309(c32,A,B),powerset(the_carrier(c32))) | f312(c32,A) != f311(c32,A) | function(f313(c32,A)). [resolve(1326,e,981,a)]. 17.99/18.24 1327 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(911,b,894,b)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | relation(f313(c1,A)). [resolve(1327,e,976,a)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | relation(f313(c32,A)). [resolve(1327,e,981,a)]. 17.99/18.24 1328 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(912,b,894,b)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1328,h,976,a)]. 17.99/18.24 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1328,h,981,a)]. 17.99/18.27 1329 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(913,b,894,b)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1329,e,976,a)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1329,e,981,a)]. 17.99/18.27 1330 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(914,b,894,b)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | function(f313(c1,A)). [resolve(1330,e,976,a)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | function(f313(c32,A)). [resolve(1330,e,981,a)]. 17.99/18.27 1331 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(915,b,894,b)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | relation(f313(c1,A)). [resolve(1331,g,976,a)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | relation(f313(c32,A)). [resolve(1331,g,981,a)]. 17.99/18.27 1332 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(916,b,894,b)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | -in(D,complements_of_subsets(the_carrier(c1),A)) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f313(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1332,j,976,a)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | -in(D,complements_of_subsets(the_carrier(c32),A)) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f313(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1332,j,981,a)]. 17.99/18.27 1333 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(917,b,894,b)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1333,g,976,a)]. 17.99/18.27 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1333,g,981,a)]. 17.99/18.29 1334 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(918,b,894,b)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | function(f313(c1,A)). [resolve(1334,g,976,a)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | function(f313(c32,A)). [resolve(1334,g,981,a)]. 17.99/18.29 1335 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(919,b,894,b)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | relation(f313(c1,A)). [resolve(1335,g,976,a)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | relation(f313(c32,A)). [resolve(1335,g,981,a)]. 17.99/18.29 1336 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(920,b,894,b)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | -in(D,complements_of_subsets(the_carrier(c1),A)) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f313(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1336,j,976,a)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | -in(D,complements_of_subsets(the_carrier(c32),A)) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f313(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1336,j,981,a)]. 17.99/18.29 1337 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(921,b,894,b)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1337,g,976,a)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1337,g,981,a)]. 17.99/18.29 1338 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(922,b,894,b)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | function(f313(c1,A)). [resolve(1338,g,976,a)]. 17.99/18.29 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | function(f313(c32,A)). [resolve(1338,g,981,a)]. 18.09/18.32 1339 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(923,b,894,b)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | f312(c1,A) != f311(c1,A) | relation(f313(c1,A)). [resolve(1339,e,976,a)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | f312(c32,A) != f311(c32,A) | relation(f313(c32,A)). [resolve(1339,e,981,a)]. 18.09/18.32 1340 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(924,b,894,b)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | f312(c1,A) != f311(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1340,h,976,a)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | f312(c32,A) != f311(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1340,h,981,a)]. 18.09/18.32 1341 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(925,b,894,b)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | f312(c1,A) != f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1341,e,976,a)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | f312(c32,A) != f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1341,e,981,a)]. 18.09/18.32 1342 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(926,b,894,b)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | f309(c1,A,B) = f308(c1,A) | f312(c1,A) != f311(c1,A) | function(f313(c1,A)). [resolve(1342,e,976,a)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | f309(c32,A,B) = f308(c32,A) | f312(c32,A) != f311(c32,A) | function(f313(c32,A)). [resolve(1342,e,981,a)]. 18.09/18.32 1343 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(927,b,894,b)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | relation(f313(c1,A)). [resolve(1343,e,976,a)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | relation(f313(c32,A)). [resolve(1343,e,981,a)]. 18.09/18.32 1344 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(928,b,894,b)]. 18.09/18.32 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1344,h,976,a)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1344,h,981,a)]. 18.09/18.34 1345 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(929,b,894,b)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1345,e,976,a)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1345,e,981,a)]. 18.09/18.34 1346 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(930,b,894,b)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | function(f313(c1,A)). [resolve(1346,e,976,a)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | function(f313(c32,A)). [resolve(1346,e,981,a)]. 18.09/18.34 1347 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(931,b,894,b)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | relation(f313(c1,A)). [resolve(1347,g,976,a)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | relation(f313(c32,A)). [resolve(1347,g,981,a)]. 18.09/18.34 1348 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(932,b,894,b)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | -in(D,complements_of_subsets(the_carrier(c1),A)) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f313(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1348,j,976,a)]. 18.09/18.34 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | -in(D,complements_of_subsets(the_carrier(c32),A)) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f313(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1348,j,981,a)]. 18.09/18.34 1349 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(933,b,894,b)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1349,g,976,a)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1349,g,981,a)]. 18.09/18.36 1350 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(934,b,894,b)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f312(c1,A) | function(f313(c1,A)). [resolve(1350,g,976,a)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f312(c32,A) | function(f313(c32,A)). [resolve(1350,g,981,a)]. 18.09/18.36 1351 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(935,b,894,b)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | relation(f313(c1,A)). [resolve(1351,g,976,a)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | relation(f313(c32,A)). [resolve(1351,g,981,a)]. 18.09/18.36 1352 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(936,b,894,b)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | -in(D,complements_of_subsets(the_carrier(c1),A)) | -element(E,powerset(the_carrier(c1))) | E != D | apply(f313(c1,A),D) = subset_complement(the_carrier(c1),E). [resolve(1352,j,976,a)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | -in(D,complements_of_subsets(the_carrier(c32),A)) | -element(E,powerset(the_carrier(c32))) | E != D | apply(f313(c32,A),D) = subset_complement(the_carrier(c32),E). [resolve(1352,j,981,a)]. 18.09/18.36 1353 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(937,b,894,b)]. 18.09/18.36 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1353,g,976,a)]. 18.09/18.38 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1353,g,981,a)]. 18.09/18.38 1354 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(938,b,894,b)]. 18.09/18.38 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | -element(C,powerset(the_carrier(c1))) | C != f310(c1,A) | subset_complement(the_carrier(c1),C) = f311(c1,A) | function(f313(c1,A)). [resolve(1354,g,976,a)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | -element(C,powerset(the_carrier(c32))) | C != f310(c32,A) | subset_complement(the_carrier(c32),C) = f311(c32,A) | function(f313(c32,A)). [resolve(1354,g,981,a)]. 18.09/18.39 1355 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(939,b,894,b)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | f312(c1,A) != f311(c1,A) | relation(f313(c1,A)). [resolve(1355,e,976,a)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | f312(c32,A) != f311(c32,A) | relation(f313(c32,A)). [resolve(1355,e,981,a)]. 18.09/18.39 1356 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(940,b,894,b)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | f312(c1,A) != f311(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1356,h,976,a)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | f312(c32,A) != f311(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1356,h,981,a)]. 18.09/18.39 1357 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(941,b,894,b)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | f312(c1,A) != f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1357,e,976,a)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | f312(c32,A) != f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1357,e,981,a)]. 18.09/18.39 1358 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(942,b,894,b)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | subset_complement(the_carrier(c1),f309(c1,A,B)) != B | f312(c1,A) != f311(c1,A) | function(f313(c1,A)). [resolve(1358,e,976,a)]. 18.09/18.39 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | subset_complement(the_carrier(c32),f309(c32,A,B)) != B | f312(c32,A) != f311(c32,A) | function(f313(c32,A)). [resolve(1358,e,981,a)]. 18.20/18.41 1359 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -rel_str(B). [resolve(943,b,894,b)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | relation(f313(c1,A)). [resolve(1359,e,976,a)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | relation(f313(c32,A)). [resolve(1359,e,981,a)]. 18.20/18.41 1360 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(944,b,894,b)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | -in(B,complements_of_subsets(the_carrier(c1),A)) | -element(C,powerset(the_carrier(c1))) | C != B | apply(f313(c1,A),B) = subset_complement(the_carrier(c1),C). [resolve(1360,h,976,a)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | -in(B,complements_of_subsets(the_carrier(c32),A)) | -element(C,powerset(the_carrier(c32))) | C != B | apply(f313(c32,A),B) = subset_complement(the_carrier(c32),C). [resolve(1360,h,981,a)]. 18.20/18.41 1361 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(945,b,894,b)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1361,e,976,a)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1361,e,981,a)]. 18.20/18.41 1362 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -rel_str(B). [resolve(946,b,894,b)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | in(f310(c1,A),complements_of_subsets(the_carrier(c1),A)) | function(f313(c1,A)). [resolve(1362,e,976,a)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | in(f310(c32,A),complements_of_subsets(the_carrier(c32),A)) | function(f313(c32,A)). [resolve(1362,e,981,a)]. 18.20/18.41 1363 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(947,b,894,b)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f312(c1,A) | relation(f313(c1,A)). [resolve(1363,g,976,a)]. 18.20/18.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f312(c32,A) | relation(f313(c32,A)). [resolve(1363,g,981,a)]. 18.20/18.43 1364 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(948,b,894,b)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f312(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1364,j,976,a)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f312(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1364,j,981,a)]. 18.20/18.43 1365 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(949,b,894,b)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f312(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1365,g,976,a)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f312(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1365,g,981,a)]. 18.20/18.43 1366 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(950,b,894,b)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f312(c1,A) | function(f313(c1,A)). [resolve(1366,g,976,a)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f312(c32,A) | function(f313(c32,A)). [resolve(1366,g,981,a)]. 18.20/18.43 1367 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(951,b,894,b)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f311(c1,A) | relation(f313(c1,A)). [resolve(1367,g,976,a)]. 18.20/18.43 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f311(c32,A) | relation(f313(c32,A)). [resolve(1367,g,981,a)]. 18.20/18.45 1368 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(952,b,894,b)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f311(c1,A) | -in(C,complements_of_subsets(the_carrier(c1),A)) | -element(D,powerset(the_carrier(c1))) | D != C | apply(f313(c1,A),C) = subset_complement(the_carrier(c1),D). [resolve(1368,j,976,a)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f311(c32,A) | -in(C,complements_of_subsets(the_carrier(c32),A)) | -element(D,powerset(the_carrier(c32))) | D != C | apply(f313(c32,A),C) = subset_complement(the_carrier(c32),D). [resolve(1368,j,981,a)]. 18.20/18.45 1369 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(953,b,894,b)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1369,g,976,a)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1369,g,981,a)]. 18.20/18.45 1370 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(954,b,894,b)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | -element(B,powerset(the_carrier(c1))) | B != f310(c1,A) | subset_complement(the_carrier(c1),B) = f311(c1,A) | function(f313(c1,A)). [resolve(1370,g,976,a)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | -element(B,powerset(the_carrier(c32))) | B != f310(c32,A) | subset_complement(the_carrier(c32),B) = f311(c32,A) | function(f313(c32,A)). [resolve(1370,g,981,a)]. 18.20/18.45 1371 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -rel_str(B). [resolve(955,b,894,b)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | f312(c1,A) != f311(c1,A) | relation(f313(c1,A)). [resolve(1371,e,976,a)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | f312(c32,A) != f311(c32,A) | relation(f313(c32,A)). [resolve(1371,e,981,a)]. 18.20/18.45 1372 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(956,b,894,b)]. 18.20/18.45 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | f312(c1,A) != f311(c1,A) | -in(B,complements_of_subsets(the_carrier(c1),A)) | -element(C,powerset(the_carrier(c1))) | C != B | apply(f313(c1,A),B) = subset_complement(the_carrier(c1),C). [resolve(1372,h,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | f312(c32,A) != f311(c32,A) | -in(B,complements_of_subsets(the_carrier(c32),A)) | -element(C,powerset(the_carrier(c32))) | C != B | apply(f313(c32,A),B) = subset_complement(the_carrier(c32),C). [resolve(1372,h,981,a)]. 18.58/18.81 1373 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -rel_str(B). [resolve(957,b,894,b)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | f312(c1,A) != f311(c1,A) | complements_of_subsets(the_carrier(c1),A) = relation_dom(f313(c1,A)). [resolve(1373,e,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | f312(c32,A) != f311(c32,A) | complements_of_subsets(the_carrier(c32),A) = relation_dom(f313(c32,A)). [resolve(1373,e,981,a)]. 18.58/18.81 1374 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -rel_str(B). [resolve(958,b,894,b)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(f308(c1,A),complements_of_subsets(the_carrier(c1),A)) | f312(c1,A) != f311(c1,A) | function(f313(c1,A)). [resolve(1374,e,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(f308(c32,A),complements_of_subsets(the_carrier(c32),A)) | f312(c32,A) != f311(c32,A) | function(f313(c32,A)). [resolve(1374,e,981,a)]. 18.58/18.81 1375 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(960,b,894,b)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f350(c1,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)). [resolve(1375,d,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f350(c32,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)). [resolve(1375,d,981,a)]. 18.58/18.81 1376 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -rel_str(B). [resolve(961,b,894,b)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f350(c1,A,C)) | -element(D,powerset(the_carrier(c1))) | D != f351(c1,A,C,B) | subset_complement(the_carrier(c1),D) = f352(c1,A,C,B). [resolve(1376,f,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f350(c32,A,C)) | -element(D,powerset(the_carrier(c32))) | D != f351(c32,A,C,B) | subset_complement(the_carrier(c32),D) = f352(c32,A,C,B). [resolve(1376,f,981,a)]. 18.58/18.81 1377 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(962,b,894,b)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f350(c1,A,C)) | in(f351(c1,A,C,B),complements_of_subsets(the_carrier(c1),A)). [resolve(1377,d,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f350(c32,A,C)) | in(f351(c32,A,C,B),complements_of_subsets(the_carrier(c32),A)). [resolve(1377,d,981,a)]. 18.58/18.81 1378 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -rel_str(B). [resolve(963,b,894,b)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f350(c1,A,C)) | ordered_pair(f351(c1,A,C,B),f352(c1,A,C,B)) = B. [resolve(1378,d,976,a)]. 18.58/18.81 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f350(c32,A,C)) | ordered_pair(f351(c32,A,C,B),f352(c32,A,C,B)) = B. [resolve(1378,d,981,a)]. 18.58/18.84 1379 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -rel_str(B). [resolve(964,b,894,b)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(B,f350(c1,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | element(f353(c1,A,C,B,D,E),powerset(the_carrier(c1))) | -in(D,complements_of_subsets(the_carrier(c1),A)) | ordered_pair(D,E) != B. [resolve(1379,g,976,a)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(B,f350(c32,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | element(f353(c32,A,C,B,D,E),powerset(the_carrier(c32))) | -in(D,complements_of_subsets(the_carrier(c32),A)) | ordered_pair(D,E) != B. [resolve(1379,g,981,a)]. 18.58/18.84 1380 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -rel_str(B). [resolve(965,b,894,b)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(B,f350(c1,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | f353(c1,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c1),A)) | ordered_pair(D,E) != B. [resolve(1380,g,976,a)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(B,f350(c32,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | f353(c32,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c32),A)) | ordered_pair(D,E) != B. [resolve(1380,g,981,a)]. 18.58/18.84 1381 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -rel_str(B). [resolve(966,b,894,b)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(B,f350(c1,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c1),A),C)) | subset_complement(the_carrier(c1),f353(c1,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c1),A)) | ordered_pair(D,E) != B. [resolve(1381,g,976,a)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(B,f350(c32,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c32),A),C)) | subset_complement(the_carrier(c32),f353(c32,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c32),A)) | ordered_pair(D,E) != B. [resolve(1381,g,981,a)]. 18.58/18.84 1382 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -rel_str(B). [resolve(967,b,894,b)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f376(c1,A,C)) | ordered_pair(f377(c1,A,C,B),f378(c1,A,C,B)) = B. [resolve(1382,d,976,a)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f376(c32,A,C)) | ordered_pair(f377(c32,A,C,B),f378(c32,A,C,B)) = B. [resolve(1382,d,981,a)]. 18.58/18.84 1383 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -rel_str(B). [resolve(968,b,894,b)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f376(c1,A,C)) | -element(D,powerset(the_carrier(c1))) | D != f377(c1,A,C,B) | subset_complement(the_carrier(c1),D) = f378(c1,A,C,B). [resolve(1383,f,976,a)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f376(c32,A,C)) | -element(D,powerset(the_carrier(c32))) | D != f377(c32,A,C,B) | subset_complement(the_carrier(c32),D) = f378(c32,A,C,B). [resolve(1383,f,981,a)]. 18.58/18.84 1384 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -rel_str(B). [resolve(969,b,894,b)]. 18.58/18.84 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f376(c1,A,C)) | in(f377(c1,A,C,B),A). [resolve(1384,d,976,a)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f376(c32,A,C)) | in(f377(c32,A,C,B),A). [resolve(1384,d,981,a)]. 20.23/20.41 1385 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(970,b,894,b)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | -in(B,f376(c1,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1385,d,976,a)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | -in(B,f376(c32,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1385,d,981,a)]. 20.23/20.41 1386 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(971,b,894,b)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(B,f376(c1,A,C)) | ordered_pair(D,E) != B | element(f379(c1,A,C,B,D,E),powerset(the_carrier(c1))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1386,g,976,a)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(B,f376(c32,A,C)) | ordered_pair(D,E) != B | element(f379(c32,A,C,B,D,E),powerset(the_carrier(c32))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1386,g,981,a)]. 20.23/20.41 1387 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(972,b,894,b)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(B,f376(c1,A,C)) | ordered_pair(D,E) != B | f379(c1,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1387,g,976,a)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(B,f376(c32,A,C)) | ordered_pair(D,E) != B | f379(c32,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1387,g,981,a)]. 20.23/20.41 1388 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -rel_str(B). [resolve(973,b,894,b)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c1)))) | in(B,f376(c1,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c1),f379(c1,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1388,g,976,a)]. 20.23/20.41 Derived: -element(A,powerset(powerset(the_carrier(c32)))) | in(B,f376(c32,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c32),f379(c32,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1388,g,981,a)]. 20.23/20.41 1389 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 20.23/20.41 1390 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(18)]. 20.23/20.41 1391 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(18)]. 20.23/20.41 1392 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(18)]. 20.23/20.41 1393 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(18)]. 20.23/20.41 1394 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(18)]. 20.23/20.41 1395 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(18)]. 20.23/20.41 1396 -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(B,A) | -topological_space(A) | open_subset(subset_complement(the_carrier(A),B),A) # label(fc3_tops_1) # label(axiom). [clausify(74)]. 20.23/20.41 1397 -top_str(A) | -topological_space(A) | element(f55(A),powerset(the_carrier(A))) # label(rc2_tops_1) # label(axiom). [clausify(99)]. 20.23/20.41 1398 -top_str(A) | -topological_space(A) | open_subset(f55(A),A) # label(rc2_tops_1) # label(axiom). [clausify(99)]. 20.23/20.41 1399 -top_str(A) | -topological_space(A) | closed_subset(f55(A),A) # label(rc2_tops_1) # label(axiom). [clausify(99)]. 20.23/20.41 1400 -top_str(A) | -topological_space(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))) # label(t46_pre_topc) # label(lemma). [clausify(111)]. 20.23/20.42 1401 -top_str(A) | -topological_space(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)) # label(t46_pre_topc) # label(lemma). [clausify(111)]. 20.23/20.42 1402 -top_str(A) | -topological_space(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)) # label(t46_pre_topc) # label(lemma). [clausify(111)]. 20.23/20.42 1403 -top_str(A) | -topological_space(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)) # label(t46_pre_topc) # label(lemma). [clausify(111)]. 20.23/20.42 1404 -top_str(A) | -topological_space(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)) # label(t46_pre_topc) # label(lemma). [clausify(111)]. 20.23/20.42 1405 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) = f61(B,A) | -in(C,f64(B,A)) | in(f65(B,A,C),powerset(the_carrier(B))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1406 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) = f61(B,A) | -in(C,f64(B,A)) | f65(B,A,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1407 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) = f61(B,A) | -in(C,f64(B,A)) | in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1408 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) = f61(B,A) | in(C,f64(B,A)) | -in(D,powerset(the_carrier(B))) | D != C | -in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1409 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f63(B,A)),A) | -in(C,f64(B,A)) | in(f65(B,A,C),powerset(the_carrier(B))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1410 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f63(B,A)),A) | -in(C,f64(B,A)) | f65(B,A,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1411 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f63(B,A)),A) | -in(C,f64(B,A)) | in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1412 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f63(B,A)),A) | in(C,f64(B,A)) | -in(D,powerset(the_carrier(B))) | D != C | -in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1413 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f62(B,A)),A) | -in(C,f64(B,A)) | in(f65(B,A,C),powerset(the_carrier(B))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1414 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f62(B,A)),A) | -in(C,f64(B,A)) | f65(B,A,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1415 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f62(B,A)),A) | -in(C,f64(B,A)) | in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1416 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | in(set_difference(cast_as_carrier_subset(B),f62(B,A)),A) | in(C,f64(B,A)) | -in(D,powerset(the_carrier(B))) | D != C | -in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1417 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f62(B,A) = f61(B,A) | -in(C,f64(B,A)) | in(f65(B,A,C),powerset(the_carrier(B))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1418 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f62(B,A) = f61(B,A) | -in(C,f64(B,A)) | f65(B,A,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1419 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f62(B,A) = f61(B,A) | -in(C,f64(B,A)) | in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1420 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f62(B,A) = f61(B,A) | in(C,f64(B,A)) | -in(D,powerset(the_carrier(B))) | D != C | -in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1421 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) != f62(B,A) | -in(C,f64(B,A)) | in(f65(B,A,C),powerset(the_carrier(B))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1422 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) != f62(B,A) | -in(C,f64(B,A)) | f65(B,A,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1423 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) != f62(B,A) | -in(C,f64(B,A)) | in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1424 -element(A,powerset(powerset(the_carrier(B)))) | -top_str(B) | -topological_space(B) | f63(B,A) != f62(B,A) | in(C,f64(B,A)) | -in(D,powerset(the_carrier(B))) | D != C | -in(set_difference(cast_as_carrier_subset(B),C),A) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(114)]. 20.23/20.42 1425 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(126)]. 20.23/20.42 1426 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(126)]. 20.23/20.42 1427 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -in(C,f67(A,B)) | f68(A,B,C) = C # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(126)]. 20.23/20.42 1428 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(126)]. 20.23/20.42 1429 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -in(C,f67(A,B)) | subset(B,C) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(126)]. 20.23/20.42 1430 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(126)]. 20.23/20.42 1431 empty_carrier(A) | -topological_space(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(134)]. 20.23/20.42 1432 empty_carrier(A) | -topological_space(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(134)]. 20.23/20.42 1433 empty_carrier(A) | -topological_space(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(134)]. 20.23/20.42 1434 empty_carrier(A) | -topological_space(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(134)]. 20.23/20.42 1435 empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(134)]. 20.23/20.42 1436 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | closed_subset(topstr_closure(A,B),A) # label(fc2_tops_1) # label(axiom). [clausify(159)]. 20.23/20.42 1437 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A) # label(t51_tops_1) # label(lemma). [clausify(169)]. 20.23/20.42 1438 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1439 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1440 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1441 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1442 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1443 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1444 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1445 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1446 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1447 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1448 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1449 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1450 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1451 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1452 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1453 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1454 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1455 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1456 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1457 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1458 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1459 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1460 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1461 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1462 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1463 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1464 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1465 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1466 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1467 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1468 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1469 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1470 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1471 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1472 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1473 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1474 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1475 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1476 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1477 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1478 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1479 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1480 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1481 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1482 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1483 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1484 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1485 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1486 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1487 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1488 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1489 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1490 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1491 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1492 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1493 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1494 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1495 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1496 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1497 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1498 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1499 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1500 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1501 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1502 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1503 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1504 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1505 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1506 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1507 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1508 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1509 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1510 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1511 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1512 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1513 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.23/20.42 1514 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(186)]. 20.24/20.43 1515 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | topstr_closure(A,B) != B | closed_subset(B,A) # label(t52_pre_topc) # label(lemma). [clausify(187)]. 20.24/20.43 1516 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A) # label(fc6_tops_1) # label(axiom). [clausify(213)]. 20.24/20.43 1517 -top_str(A) | -topological_space(A) | in(the_carrier(A),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 20.24/20.43 1518 -top_str(A) | -topological_space(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 20.24/20.43 1519 -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1389,b,1390,a)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1389,b,1391,a)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1389,b,1392,a)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1393,a)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1389,b,1394,a)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1389,b,1395,a)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1389,b,1397,b)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f55(A),A). [resolve(1389,b,1398,b)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f55(A),A). [resolve(1389,b,1399,b)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1389,b,1400,b)]. 20.24/20.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1389,b,1401,b)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1389,b,1402,b)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1389,b,1403,b)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1389,b,1404,b)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1405,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1389,b,1406,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1407,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1408,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1409,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1389,b,1410,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1411,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1412,c)]. 20.24/20.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1413,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1389,b,1414,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1415,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1416,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1417,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1389,b,1418,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1419,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1420,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1421,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1389,b,1422,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1423,c)]. 20.24/20.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1389,b,1424,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1389,b,1425,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1389,b,1426,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1389,b,1427,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1389,b,1428,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1389,b,1429,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1389,b,1430,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1389,b,1431,b)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1389,b,1432,b)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1389,b,1433,b)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1389,b,1434,b)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1389,b,1435,b)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1389,b,1436,c)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1389,b,1437,a)]. 20.24/20.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1438,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1439,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1440,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1441,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1442,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1443,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1444,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1445,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1446,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1447,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1448,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1449,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1450,a)]. 20.32/20.53 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1451,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1452,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1453,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1454,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1455,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1456,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1457,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1458,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1459,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1460,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1461,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1462,a)]. 20.32/20.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1463,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1464,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1465,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1466,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1467,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1468,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1469,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1470,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1471,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1472,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1473,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1474,a)]. 20.39/20.58 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1475,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1476,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1477,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1478,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1479,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1480,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1481,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1482,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1483,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1484,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1485,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1486,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1487,a)]. 20.39/20.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1488,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1489,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1490,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1491,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1492,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1493,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1494,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1495,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1496,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1497,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1498,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1499,a)]. 20.39/20.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1500,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1501,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1502,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1503,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1504,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1505,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1506,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1507,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1389,b,1508,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1509,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1510,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1389,b,1511,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1389,b,1512,a)]. 20.49/20.68 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1389,b,1513,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1389,b,1514,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1389,b,1515,c)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1389,b,1518,b)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1389,b,1519,b)]. 20.52/20.72 1520 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1520,b,1390,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1520,b,1391,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1520,b,1392,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1393,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1520,b,1394,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1520,b,1395,a)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1520,b,1397,b)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1520,b,1398,b)]. 20.52/20.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1520,b,1399,b)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1520,b,1400,b)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1520,b,1401,b)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1520,b,1402,b)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1520,b,1403,b)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1520,b,1404,b)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1405,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1520,b,1406,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1407,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1408,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1409,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1520,b,1410,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1411,c)]. 20.54/20.75 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1412,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1413,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1520,b,1414,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1415,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1416,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1417,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1520,b,1418,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1419,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1420,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1421,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1520,b,1422,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1423,c)]. 20.54/20.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1520,b,1424,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1520,b,1425,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1520,b,1426,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1520,b,1427,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1520,b,1428,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1520,b,1429,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1520,b,1430,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1520,b,1431,b)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1520,b,1432,b)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1520,b,1433,b)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1520,b,1434,b)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1520,b,1435,b)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1520,b,1436,c)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1520,b,1437,a)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1438,a)]. 20.62/20.82 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1439,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1440,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1441,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1442,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1443,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1444,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1445,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1446,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1447,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1448,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1449,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1450,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1451,a)]. 20.62/20.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1452,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1453,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1454,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1455,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1456,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1457,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1458,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1459,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1460,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1461,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1462,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1463,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1464,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1465,a)]. 20.62/20.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1466,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1467,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1468,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1469,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1470,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1471,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1472,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1473,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1474,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1475,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1476,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1477,a)]. 20.70/20.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1478,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1479,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1480,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1481,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1482,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1483,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1484,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1485,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1486,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1487,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1488,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1489,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1490,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1491,a)]. 20.70/20.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1492,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1493,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1494,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1495,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1496,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1497,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1498,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1499,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1500,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1501,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1502,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1503,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1504,a)]. 20.81/21.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1505,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1506,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1507,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1520,b,1508,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1509,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1510,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1520,b,1511,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1520,b,1512,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1520,b,1513,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1520,b,1514,a)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1520,b,1515,c)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1520,b,1518,b)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1520,b,1519,b)]. 20.82/21.04 1521 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 20.82/21.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1521,b,1390,a)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1521,b,1391,a)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1521,b,1392,a)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1393,a)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1521,b,1394,a)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1521,b,1395,a)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1521,b,1397,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1521,b,1398,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1521,b,1399,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1521,b,1400,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1521,b,1401,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1521,b,1402,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1521,b,1403,b)]. 20.82/21.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1521,b,1404,b)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1405,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1521,b,1406,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1407,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1408,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1409,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1521,b,1410,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1411,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1412,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1413,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1521,b,1414,c)]. 20.82/21.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1415,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1416,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1417,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1521,b,1418,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1419,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1420,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1421,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1521,b,1422,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1423,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1521,b,1424,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1521,b,1425,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1521,b,1426,c)]. 20.92/21.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1521,b,1427,c)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1521,b,1428,c)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1521,b,1429,c)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1521,b,1430,c)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1521,b,1431,b)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1521,b,1432,b)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1521,b,1433,b)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1521,b,1434,b)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1521,b,1435,b)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1521,b,1436,c)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1521,b,1437,a)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1438,a)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1439,a)]. 20.92/21.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1440,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1441,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1442,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1443,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1444,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1445,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1446,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1447,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1448,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1449,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1450,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1451,a)]. 21.00/21.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1452,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1453,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1454,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1455,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1456,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1457,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1458,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1459,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1460,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1461,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1462,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1463,a)]. 21.00/21.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1464,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1465,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1466,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1467,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1468,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1469,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1470,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1471,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1472,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1473,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1474,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1475,a)]. 21.09/21.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1476,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1477,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1478,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1479,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1480,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1481,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1482,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1483,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1484,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1485,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1486,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1487,a)]. 21.12/21.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1488,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1489,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1490,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1491,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1492,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1493,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1494,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1495,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1496,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1497,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1498,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1499,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1500,a)]. 21.12/21.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1501,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1502,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1503,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1504,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1505,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1506,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1507,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1521,b,1508,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1509,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1510,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1521,b,1511,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1521,b,1512,a)]. 21.12/21.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1521,b,1513,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1521,b,1514,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1521,b,1515,c)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1521,b,1518,b)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1521,b,1519,b)]. 21.22/21.43 1522 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1522,b,1390,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1522,b,1391,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1522,b,1392,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1393,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1522,b,1394,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1522,b,1395,a)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1522,b,1397,b)]. 21.22/21.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f55(A),A). [resolve(1522,b,1398,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f55(A),A). [resolve(1522,b,1399,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1522,b,1400,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1522,b,1401,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1522,b,1402,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1522,b,1403,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1522,b,1404,b)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1405,c)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1522,b,1406,c)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1407,c)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1408,c)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1409,c)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1522,b,1410,c)]. 21.22/21.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1411,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1412,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1413,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1522,b,1414,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1415,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1416,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1417,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1522,b,1418,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1419,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1420,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1421,c)]. 21.22/21.49 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1522,b,1422,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1423,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1522,b,1424,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1522,b,1425,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1522,b,1426,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1522,b,1427,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1522,b,1428,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1522,b,1429,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1522,b,1430,c)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1522,b,1431,b)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1522,b,1432,b)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1522,b,1433,b)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1522,b,1434,b)]. 21.32/21.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1522,b,1435,b)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1522,b,1436,c)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1522,b,1437,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1438,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1439,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1440,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1441,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1442,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1443,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1444,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1445,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1446,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1447,a)]. 21.32/21.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1448,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1449,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1450,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1451,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1452,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1453,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1454,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1455,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1456,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1457,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1458,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1459,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1460,a)]. 21.32/21.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1461,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1462,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1463,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1464,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1465,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1466,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1467,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1468,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1469,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1470,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1471,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1472,a)]. 21.41/21.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1473,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1474,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1475,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1476,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1477,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1478,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1479,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1480,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1481,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1482,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1483,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1484,a)]. 21.41/21.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1485,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1486,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1487,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1488,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1489,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1490,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1491,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1492,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1493,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1494,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1495,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1496,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1497,a)]. 21.51/21.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1498,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1499,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1500,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1501,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1502,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1503,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1504,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1505,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1506,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1507,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1522,b,1508,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1509,a)]. 21.51/21.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1510,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1522,b,1511,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1522,b,1512,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1522,b,1513,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1522,b,1514,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1522,b,1515,c)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1522,b,1518,b)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1522,b,1519,b)]. 21.51/21.78 1523 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1523,b,1390,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1523,b,1391,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1523,b,1392,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1393,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1523,b,1394,a)]. 21.51/21.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1523,b,1395,a)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1523,b,1397,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1523,b,1398,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1523,b,1399,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1523,b,1400,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1523,b,1401,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1523,b,1402,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1523,b,1403,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1523,b,1404,b)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1405,c)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1523,b,1406,c)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1407,c)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1408,c)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1409,c)]. 21.60/21.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1523,b,1410,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1411,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1412,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1413,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1523,b,1414,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1415,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1416,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1417,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1523,b,1418,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1419,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1420,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1421,c)]. 21.60/21.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1523,b,1422,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1423,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1523,b,1424,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1523,b,1425,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1523,b,1426,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1523,b,1427,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1523,b,1428,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1523,b,1429,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1523,b,1430,c)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1523,b,1431,b)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1523,b,1432,b)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1523,b,1433,b)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1523,b,1434,b)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1523,b,1435,b)]. 21.71/21.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1523,b,1436,c)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1523,b,1437,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1438,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1439,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1440,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1441,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1442,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1443,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1444,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1445,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1446,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1447,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1448,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1449,a)]. 21.71/21.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1450,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1451,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1452,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1453,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1454,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1455,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1456,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1457,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1458,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1459,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1460,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1461,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1462,a)]. 21.71/21.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1463,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1464,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1465,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1466,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1467,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1468,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1469,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1470,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1471,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1472,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1473,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1474,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1475,a)]. 21.81/22.03 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1476,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1477,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1478,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1479,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1480,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1481,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1482,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1483,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1484,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1485,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1486,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1487,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1488,a)]. 21.81/22.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1489,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1490,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1491,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1492,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1493,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1494,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1495,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1496,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1497,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1498,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1499,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1500,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1501,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1502,a)]. 21.90/22.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1503,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1504,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1505,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1506,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1507,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1523,b,1508,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1509,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1510,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1523,b,1511,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1523,b,1512,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1523,b,1513,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1523,b,1514,a)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1523,b,1515,c)]. 21.90/22.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1523,b,1518,b)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1523,b,1519,b)]. 21.90/22.20 1524 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1524,b,1390,a)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1524,b,1391,a)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1524,b,1392,a)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1393,a)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1524,b,1394,a)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1524,b,1395,a)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1524,b,1397,b)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1524,b,1398,b)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1524,b,1399,b)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1524,b,1400,b)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1524,b,1401,b)]. 21.90/22.20 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1524,b,1402,b)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1524,b,1403,b)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1524,b,1404,b)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1405,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1524,b,1406,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1407,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1408,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1409,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1524,b,1410,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1411,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1412,c)]. 22.02/22.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1413,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1524,b,1414,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1415,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1416,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1417,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1524,b,1418,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1419,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1420,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1421,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1524,b,1422,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1423,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1524,b,1424,c)]. 22.02/22.29 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1524,b,1425,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1524,b,1426,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1524,b,1427,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1524,b,1428,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1524,b,1429,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1524,b,1430,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1524,b,1431,b)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1524,b,1432,b)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1524,b,1433,b)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1524,b,1434,b)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1524,b,1435,b)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1524,b,1436,c)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1524,b,1437,a)]. 22.11/22.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1438,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1439,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1440,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1441,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1442,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1443,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1444,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1445,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1446,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1447,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1448,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1449,a)]. 22.11/22.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1450,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1451,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1452,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1453,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1454,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1455,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1456,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1457,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1458,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1459,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1460,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1461,a)]. 22.19/22.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1462,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1463,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1464,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1465,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1466,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1467,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1468,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1469,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1470,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1471,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1472,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1473,a)]. 22.19/22.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1474,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1475,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1476,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1477,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1478,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1479,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1480,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1481,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1482,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1483,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1484,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1485,a)]. 22.29/22.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1486,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1487,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1488,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1489,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1490,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1491,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1492,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1493,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1494,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1495,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1496,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1497,a)]. 22.32/22.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1498,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1499,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1500,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1501,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1502,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1503,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1504,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1505,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1506,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1507,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1524,b,1508,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1509,a)]. 22.32/22.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1510,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1524,b,1511,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1524,b,1512,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1524,b,1513,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1524,b,1514,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1524,b,1515,c)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1524,b,1518,b)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1524,b,1519,b)]. 22.41/22.60 1525 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1525,b,1390,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1525,b,1391,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1525,b,1392,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1393,a)]. 22.41/22.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1525,b,1394,a)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1525,b,1395,a)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1525,b,1397,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f55(A),A). [resolve(1525,b,1398,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f55(A),A). [resolve(1525,b,1399,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1525,b,1400,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1525,b,1401,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1525,b,1402,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1525,b,1403,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1525,b,1404,b)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1405,c)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1525,b,1406,c)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1407,c)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1408,c)]. 22.41/22.64 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1409,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1525,b,1410,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1411,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1412,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1413,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1525,b,1414,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1415,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1416,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1417,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1525,b,1418,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1419,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1420,c)]. 22.49/22.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1421,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1525,b,1422,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1423,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1525,b,1424,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1525,b,1425,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1525,b,1426,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1525,b,1427,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1525,b,1428,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1525,b,1429,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1525,b,1430,c)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1525,b,1431,b)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1525,b,1432,b)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1525,b,1433,b)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1525,b,1434,b)]. 22.49/22.73 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1525,b,1435,b)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1525,b,1436,c)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1525,b,1437,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1438,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1439,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1440,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1441,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1442,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1443,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1444,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1445,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1446,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1447,a)]. 22.49/22.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1448,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1449,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1450,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1451,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1452,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1453,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1454,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1455,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1456,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1457,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1458,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1459,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1460,a)]. 22.62/22.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1461,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1462,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1463,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1464,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1465,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1466,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1467,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1468,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1469,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1470,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1471,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1472,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1473,a)]. 22.65/22.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1474,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1475,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1476,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1477,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1478,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1479,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1480,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1481,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1482,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1483,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1484,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1485,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1486,a)]. 22.65/22.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1487,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1488,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1489,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1490,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1491,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1492,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1493,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1494,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1495,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1496,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1497,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1498,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1499,a)]. 22.74/22.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1500,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1501,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1502,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1503,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1504,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1505,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1506,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1507,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1525,b,1508,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1509,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1510,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1525,b,1511,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1525,b,1512,a)]. 22.80/22.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1525,b,1513,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1525,b,1514,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1525,b,1515,c)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1525,b,1518,b)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1525,b,1519,b)]. 22.80/23.05 1526 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1526,b,1390,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1526,b,1391,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1526,b,1392,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1393,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1526,b,1394,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1526,b,1395,a)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1526,b,1397,b)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1526,b,1398,b)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1526,b,1399,b)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1526,b,1400,b)]. 22.80/23.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1526,b,1401,b)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1526,b,1402,b)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1526,b,1403,b)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1526,b,1404,b)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1405,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1526,b,1406,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1407,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1408,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1409,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1526,b,1410,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1411,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1412,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1413,c)]. 22.90/23.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1526,b,1414,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1415,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1416,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1417,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1526,b,1418,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1419,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1420,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1421,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1526,b,1422,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1423,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1526,b,1424,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1526,b,1425,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1526,b,1426,c)]. 22.95/23.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1526,b,1427,c)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1526,b,1428,c)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1526,b,1429,c)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1526,b,1430,c)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1526,b,1431,b)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1526,b,1432,b)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1526,b,1433,b)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1526,b,1434,b)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1526,b,1435,b)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1526,b,1436,c)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1526,b,1437,a)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1438,a)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1439,a)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1440,a)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1441,a)]. 23.03/23.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1442,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1443,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1444,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1445,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1446,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1447,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1448,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1449,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1450,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1451,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1452,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1453,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1454,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1455,a)]. 23.03/23.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1456,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1457,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1458,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1459,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1460,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1461,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1462,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1463,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1464,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1465,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1466,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1467,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1468,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1469,a)]. 23.10/23.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1470,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1471,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1472,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1473,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1474,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1475,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1476,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1477,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1478,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1479,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1480,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1481,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1482,a)]. 23.10/23.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1483,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1484,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1485,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1486,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1487,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1488,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1489,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1490,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1491,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1492,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1493,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1494,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1495,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1496,a)]. 23.22/23.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1497,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1498,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1499,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1500,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1501,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1502,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1503,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1504,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1505,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1506,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1507,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1526,b,1508,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1509,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1510,a)]. 23.25/23.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1526,b,1511,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1526,b,1512,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1526,b,1513,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1526,b,1514,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1526,b,1515,c)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1526,b,1518,b)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1526,b,1519,b)]. 23.32/23.52 1527 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1527,b,1390,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1527,b,1391,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1527,b,1392,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1393,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1527,b,1394,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1527,b,1395,a)]. 23.32/23.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1527,b,1397,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1527,b,1398,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1527,b,1399,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1527,b,1400,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1527,b,1401,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1527,b,1402,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1527,b,1403,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1527,b,1404,b)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1405,c)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1527,b,1406,c)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1407,c)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1408,c)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1409,c)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1527,b,1410,c)]. 23.32/23.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1411,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1412,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1413,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1527,b,1414,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1415,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1416,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1417,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1527,b,1418,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1419,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1420,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1421,c)]. 23.40/23.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1527,b,1422,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1423,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1527,b,1424,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1527,b,1425,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1527,b,1426,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1527,b,1427,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1527,b,1428,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1527,b,1429,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1527,b,1430,c)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1527,b,1431,b)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1527,b,1432,b)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1527,b,1433,b)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1527,b,1434,b)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1527,b,1435,b)]. 23.40/23.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1527,b,1436,c)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1527,b,1437,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1438,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1439,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1440,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1441,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1442,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1443,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1444,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1445,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1446,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1447,a)]. 23.50/23.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1448,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1449,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1450,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1451,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1452,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1453,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1454,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1455,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1456,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1457,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1458,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1459,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1460,a)]. 23.56/23.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1461,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1462,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1463,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1464,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1465,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1466,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1467,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1468,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1469,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1470,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1471,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1472,a)]. 23.56/23.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1473,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1474,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1475,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1476,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1477,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1478,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1479,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1480,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1481,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1482,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1483,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1484,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1485,a)]. 23.63/23.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1486,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1487,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1488,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1489,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1490,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1491,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1492,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1493,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1494,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1495,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1496,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1497,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1498,a)]. 23.71/23.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1499,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1500,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1501,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1502,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1503,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1504,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1505,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1506,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1507,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1527,b,1508,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1509,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1510,a)]. 23.71/23.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1527,b,1511,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1527,b,1512,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1527,b,1513,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1527,b,1514,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1527,b,1515,c)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1527,b,1518,b)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1527,b,1519,b)]. 23.81/23.99 1528 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1528,b,1390,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1528,b,1391,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1528,b,1392,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1393,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1528,b,1394,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1528,b,1395,a)]. 23.81/23.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1528,b,1397,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f55(A),A). [resolve(1528,b,1398,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f55(A),A). [resolve(1528,b,1399,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1528,b,1400,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1528,b,1401,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1528,b,1402,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1528,b,1403,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1528,b,1404,b)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1405,c)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1528,b,1406,c)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1407,c)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1408,c)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1409,c)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1528,b,1410,c)]. 23.85/24.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1411,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1412,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1413,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1528,b,1414,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1415,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1416,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1417,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1528,b,1418,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1419,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1420,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1421,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1528,b,1422,c)]. 23.85/24.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1423,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1528,b,1424,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1528,b,1425,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1528,b,1426,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1528,b,1427,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1528,b,1428,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1528,b,1429,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1528,b,1430,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1528,b,1431,b)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1528,b,1432,b)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1528,b,1433,b)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1528,b,1434,b)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1528,b,1435,b)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1528,b,1436,c)]. 23.94/24.14 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1528,b,1437,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1438,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1439,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1440,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1441,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1442,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1443,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1444,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1445,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1446,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1447,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1448,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1449,a)]. 24.01/24.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1450,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1451,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1452,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1453,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1454,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1455,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1456,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1457,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1458,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1459,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1460,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1461,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1462,a)]. 24.01/24.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1463,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1464,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1465,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1466,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1467,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1468,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1469,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1470,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1471,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1472,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1473,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1474,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1475,a)]. 24.11/24.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1476,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1477,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1478,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1479,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1480,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1481,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1482,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1483,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1484,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1485,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1486,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1487,a)]. 24.15/24.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1488,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1489,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1490,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1491,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1492,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1493,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1494,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1495,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1496,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1497,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1498,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1499,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1500,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1501,a)]. 24.15/24.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1502,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1503,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1504,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1505,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1506,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1507,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1528,b,1508,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1509,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1510,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1528,b,1511,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1528,b,1512,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1528,b,1513,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1528,b,1514,a)]. 24.24/24.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1528,b,1515,c)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1528,b,1518,b)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1528,b,1519,b)]. 24.32/24.51 1529 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1529,b,1390,a)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1529,b,1391,a)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1529,b,1392,a)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1393,a)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1529,b,1394,a)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1529,b,1395,a)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1529,b,1397,b)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1529,b,1398,b)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1529,b,1399,b)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1529,b,1400,b)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1529,b,1401,b)]. 24.32/24.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1529,b,1402,b)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1529,b,1403,b)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1529,b,1404,b)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1405,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1529,b,1406,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1407,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1408,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1409,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1529,b,1410,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1411,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1412,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1413,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1529,b,1414,c)]. 24.32/24.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1415,c)]. 24.42/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1416,c)]. 24.42/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1417,c)]. 24.42/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1529,b,1418,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1419,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1420,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1421,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1529,b,1422,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1423,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1529,b,1424,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1529,b,1425,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1529,b,1426,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1529,b,1427,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1529,b,1428,c)]. 24.44/24.61 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1529,b,1429,c)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1529,b,1430,c)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1529,b,1431,b)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1529,b,1432,b)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1529,b,1433,b)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1529,b,1434,b)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1529,b,1435,b)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1529,b,1436,c)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1529,b,1437,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1438,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1439,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1440,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1441,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1442,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1443,a)]. 24.44/24.66 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1444,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1445,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1446,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1447,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1448,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1449,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1450,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1451,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1452,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1453,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1454,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1455,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1456,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1457,a)]. 24.52/24.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1458,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1459,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1460,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1461,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1462,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1463,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1464,a)]. 24.52/24.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1465,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1466,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1467,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1468,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1469,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1470,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1471,a)]. 24.52/24.78 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1472,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1473,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1474,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1475,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1476,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1477,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1478,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1479,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1480,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1481,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1482,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1483,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1484,a)]. 24.61/24.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1485,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1486,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1487,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1488,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1489,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1490,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1491,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1492,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1493,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1494,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1495,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1496,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1497,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1498,a)]. 24.72/24.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1499,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1500,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1501,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1502,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1503,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1504,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1505,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1506,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1507,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1529,b,1508,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1509,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1510,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1529,b,1511,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1529,b,1512,a)]. 24.75/24.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1529,b,1513,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1529,b,1514,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1529,b,1515,c)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1529,b,1518,b)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1529,b,1519,b)]. 24.85/25.02 1530 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1530,b,1390,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1530,b,1391,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1530,b,1392,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1393,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1530,b,1394,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1530,b,1395,a)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1530,b,1397,b)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1530,b,1398,b)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1530,b,1399,b)]. 24.85/25.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1530,b,1400,b)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1530,b,1401,b)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1530,b,1402,b)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1530,b,1403,b)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1530,b,1404,b)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1405,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1530,b,1406,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1407,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1408,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1409,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1530,b,1410,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1411,c)]. 24.85/25.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1412,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1413,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1530,b,1414,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1415,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1416,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1417,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1530,b,1418,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1419,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1420,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1421,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1530,b,1422,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1423,c)]. 24.93/25.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1530,b,1424,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1530,b,1425,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1530,b,1426,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1530,b,1427,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1530,b,1428,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1530,b,1429,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1530,b,1430,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1530,b,1431,b)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1530,b,1432,b)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1530,b,1433,b)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1530,b,1434,b)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1530,b,1435,b)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1530,b,1436,c)]. 24.93/25.19 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1530,b,1437,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1438,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1439,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1440,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1441,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1442,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1443,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1444,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1445,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1446,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1447,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1448,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1449,a)]. 25.03/25.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1450,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1451,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1452,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1453,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1454,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1455,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1456,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1457,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1458,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1459,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1460,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1461,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1462,a)]. 25.13/25.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1463,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1464,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1465,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1466,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1467,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1468,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1469,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1470,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1471,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1472,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1473,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1474,a)]. 25.13/25.36 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1475,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1476,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1477,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1478,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1479,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1480,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1481,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1482,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1483,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1484,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1485,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1486,a)]. 25.23/25.41 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1487,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1488,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1489,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1490,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1491,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1492,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1493,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1494,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1495,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1496,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1497,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1498,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1499,a)]. 25.23/25.46 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1500,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1501,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1502,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1503,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1504,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1505,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1506,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1507,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1530,b,1508,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1509,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1510,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1530,b,1511,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1530,b,1512,a)]. 25.33/25.51 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1530,b,1513,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1530,b,1514,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1530,b,1515,c)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1530,b,1518,b)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1530,b,1519,b)]. 25.33/25.56 1531 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1531,b,1390,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1531,b,1391,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1531,b,1392,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1393,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1531,b,1394,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1531,b,1395,a)]. 25.33/25.56 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1531,b,1397,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f55(A),A). [resolve(1531,b,1398,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f55(A),A). [resolve(1531,b,1399,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1531,b,1400,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1531,b,1401,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1531,b,1402,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1531,b,1403,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1531,b,1404,b)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1405,c)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1531,b,1406,c)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1407,c)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1408,c)]. 25.43/25.60 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1409,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1531,b,1410,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1411,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1412,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1413,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1531,b,1414,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1415,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1416,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1417,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1531,b,1418,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1419,c)]. 25.43/25.65 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1420,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1421,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1531,b,1422,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1423,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1531,b,1424,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1531,b,1425,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1531,b,1426,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1531,b,1427,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1531,b,1428,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1531,b,1429,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1531,b,1430,c)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1531,b,1431,b)]. 25.53/25.69 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1531,b,1432,b)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1531,b,1433,b)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1531,b,1434,b)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1531,b,1435,b)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1531,b,1436,c)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1531,b,1437,a)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1438,a)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1439,a)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1440,a)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1441,a)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1442,a)]. 25.55/25.74 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1443,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1444,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1445,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1446,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1447,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1448,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1449,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1450,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1451,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1452,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1453,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1454,a)]. 25.55/25.79 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1455,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1456,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1457,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1458,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1459,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1460,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1461,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1462,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1463,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1464,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1465,a)]. 25.63/25.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1466,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1467,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1468,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1469,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1470,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1471,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1472,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1473,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1474,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1475,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1476,a)]. 25.63/25.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1477,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1478,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1479,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1480,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1481,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1482,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1483,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1484,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1485,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1486,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1487,a)]. 25.63/25.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1488,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1489,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1490,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1491,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1492,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1493,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1494,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1495,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1496,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1497,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1498,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1499,a)]. 25.72/25.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1500,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1501,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1502,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1503,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1504,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1505,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1506,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1507,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1531,b,1508,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1509,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1510,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1531,b,1511,a)]. 25.72/25.92 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1531,b,1512,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1531,b,1513,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1531,b,1514,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1531,b,1515,c)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1531,b,1518,b)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1531,b,1519,b)]. 25.72/25.94 1532 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1532,b,1390,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1532,b,1391,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1532,b,1392,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1393,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1532,b,1394,a)]. 25.72/25.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1532,b,1395,a)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1532,b,1397,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1532,b,1398,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1532,b,1399,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1532,b,1400,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1532,b,1401,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1532,b,1402,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1532,b,1403,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1532,b,1404,b)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1405,c)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1532,b,1406,c)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1407,c)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1408,c)]. 25.72/25.97 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1409,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1532,b,1410,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1411,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1412,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1413,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1532,b,1414,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1415,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1416,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1417,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1532,b,1418,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1419,c)]. 25.82/25.99 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1420,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1421,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1532,b,1422,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1423,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1532,b,1424,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1532,b,1425,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1532,b,1426,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1532,b,1427,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1532,b,1428,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1532,b,1429,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1532,b,1430,c)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1532,b,1431,b)]. 25.85/26.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1532,b,1432,b)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1532,b,1433,b)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1532,b,1434,b)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1532,b,1435,b)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1532,b,1436,c)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1532,b,1437,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1438,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1439,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1440,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1441,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1442,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1443,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1444,a)]. 25.85/26.05 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1445,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1446,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1447,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1448,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1449,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1450,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1451,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1452,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1453,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1454,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1455,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1456,a)]. 25.85/26.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1457,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1458,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1459,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1460,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1461,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1462,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1463,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1464,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1465,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1466,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1467,a)]. 25.85/26.10 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1468,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1469,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1470,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1471,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1472,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1473,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1474,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1475,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1476,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1477,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1478,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1479,a)]. 25.95/26.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1480,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1481,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1482,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1483,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1484,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1485,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1486,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1487,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1488,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1489,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1490,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1491,a)]. 25.95/26.15 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1492,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1493,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1494,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1495,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1496,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1497,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1498,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1499,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1500,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1501,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1502,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1503,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1504,a)]. 25.95/26.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1505,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1506,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1507,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1532,b,1508,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1509,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1510,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1532,b,1511,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1532,b,1512,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1532,b,1513,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1532,b,1514,a)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1532,b,1515,c)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1532,b,1518,b)]. 26.03/26.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1532,b,1519,b)]. 26.03/26.23 1533 -top_str(A) | topological_space(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) # label(d1_pre_topc) # label(axiom). [clausify(274)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | closed_subset(f11(A,B,C),A). [resolve(1533,b,1390,a)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | subset(B,C). [resolve(1533,b,1391,a)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | f11(A,B,C) = C. [resolve(1533,b,1392,a)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | -in(C,f10(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1393,a)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | -element(C,powerset(the_carrier(A))) | in(C,f10(A,B)) | -closed_subset(D,A) | -subset(B,C) | D != C | -element(D,powerset(the_carrier(A))). [resolve(1533,b,1394,a)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f10(A,B),powerset(powerset(the_carrier(A)))). [resolve(1533,b,1395,a)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | element(f55(A),powerset(the_carrier(A))). [resolve(1533,b,1397,b)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | open_subset(f55(A),A). [resolve(1533,b,1398,b)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | closed_subset(f55(A),A). [resolve(1533,b,1399,b)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f60(A,B),powerset(powerset(the_carrier(A)))). [resolve(1533,b,1400,b)]. 26.03/26.23 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) = meet_of_subsets(the_carrier(A),f60(A,B)). [resolve(1533,b,1401,b)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,C) | in(C,f60(A,B)). [resolve(1533,b,1402,b)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(C,A) | -in(C,f60(A,B)). [resolve(1533,b,1403,b)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f60(A,B)). [resolve(1533,b,1404,b)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1405,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1533,b,1406,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1407,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1408,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1409,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1533,b,1410,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1411,c)]. 26.03/26.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f63(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1412,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1413,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1533,b,1414,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1415,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | in(set_difference(cast_as_carrier_subset(A),f62(A,B)),B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1416,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1417,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1533,b,1418,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1419,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f62(A,B) = f61(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1420,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(f65(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1421,c)]. 26.03/26.28 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | f65(A,B,C) = C. [resolve(1533,b,1422,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | -in(C,f64(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1423,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -element(B,powerset(powerset(the_carrier(A)))) | -top_str(A) | f63(A,B) != f62(A,B) | in(C,f64(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(1533,b,1424,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | in(C,powerset(the_carrier(A))). [resolve(1533,b,1425,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | element(f68(A,B,C),powerset(the_carrier(A))). [resolve(1533,b,1426,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | f68(A,B,C) = C. [resolve(1533,b,1427,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | closed_subset(f68(A,B,C),A). [resolve(1533,b,1428,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -in(C,f67(A,B)) | subset(B,C). [resolve(1533,b,1429,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,f67(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -closed_subset(D,A) | -subset(B,C). [resolve(1533,b,1430,c)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | element(f73(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(1533,b,1431,b)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | closed_subsets(f73(A),A) | compact_top_space(A). [resolve(1533,b,1432,b)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | meet_of_subsets(the_carrier(A),f73(A)) = empty_set | compact_top_space(A). [resolve(1533,b,1433,b)]. 26.12/26.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | centered(f73(A)) | compact_top_space(A). [resolve(1533,b,1434,b)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(1533,b,1435,b)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(1533,b,1436,c)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(1533,b,1437,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1438,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1439,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1440,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1441,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1442,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1443,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f124(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1444,a)]. 26.12/26.32 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1445,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1446,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1447,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1448,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1449,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1450,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f123(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1451,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1452,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1453,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1454,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1455,a)]. 26.12/26.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1456,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1457,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f124(A,B) = f123(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1458,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1459,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1460,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1461,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1462,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1463,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1464,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f124(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1465,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1466,a)]. 26.12/26.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1467,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1468,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1469,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1470,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1471,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1472,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1473,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1474,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1475,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1476,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1477,a)]. 26.12/26.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1478,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f125(A,B),powerset(the_carrier(A))) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1479,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1480,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1481,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1482,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1483,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1484,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1485,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f125(A,B) = f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1486,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1487,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1488,a)]. 26.25/26.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1489,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1490,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1491,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1492,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f125(A,B),A) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1493,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1494,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1495,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1496,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1497,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1498,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1499,a)]. 26.26/26.44 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f122(A,B)) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1500,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1501,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1502,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1503,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1504,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1505,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1506,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f122(A,B) = f121(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1507,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | -in(C,powerset(the_carrier(A))) | C != D | -element(E,powerset(the_carrier(A))) | -closed_subset(E,A) | -subset(B,D) | E != D | in(D,f126(A,B)). [resolve(1533,b,1508,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | in(f127(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1509,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f127(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1510,a)]. 26.26/26.47 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | element(f128(A,B,C),powerset(the_carrier(A))) | -in(C,f126(A,B)). [resolve(1533,b,1511,a)]. 27.04/27.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | closed_subset(f128(A,B,C),A) | -in(C,f126(A,B)). [resolve(1533,b,1512,a)]. 27.04/27.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | subset(B,C) | -in(C,f126(A,B)). [resolve(1533,b,1513,a)]. 27.04/27.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f123(A,B) != f122(A,B) | f128(A,B,C) = C | -in(C,f126(A,B)). [resolve(1533,b,1514,a)]. 27.04/27.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(1533,b,1515,c)]. 27.04/27.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -in(B,the_topology(A)) | -in(C,the_topology(A)) | in(subset_intersection2(the_carrier(A),B,C),the_topology(A)). [resolve(1533,b,1518,b)]. 27.04/27.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -subset(B,the_topology(A)) | in(union_of_subsets(the_carrier(A),B),the_topology(A)). [resolve(1533,b,1519,b)]. 27.04/27.24 1534 -topological_space(A) | -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) # label(rc7_pre_topc) # label(axiom). [clausify(372)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1534,a,1389,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1534,a,1520,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1534,a,1521,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1534,a,1522,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1534,a,1523,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1534,a,1524,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1534,a,1525,b)]. 27.04/27.24 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1534,a,1526,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1534,a,1527,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1534,a,1528,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1534,a,1529,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1534,a,1530,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1534,a,1531,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1534,a,1532,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | closed_subset(f265(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1534,a,1533,b)]. 27.11/27.27 1535 -topological_space(A) | -top_str(A) | empty_carrier(A) | -empty(f265(A)) # label(rc7_pre_topc) # label(axiom). [clausify(372)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1535,a,1389,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1535,a,1520,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1535,a,1521,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1535,a,1522,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1535,a,1523,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1535,a,1524,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1535,a,1525,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1535,a,1526,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1535,a,1527,b)]. 27.11/27.27 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1535,a,1528,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1535,a,1529,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1535,a,1530,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1535,a,1531,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1535,a,1532,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | -empty(f265(A)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1535,a,1533,b)]. 27.11/27.29 1536 -topological_space(A) | -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) # label(rc7_pre_topc) # label(axiom). [clausify(372)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1536,a,1389,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1536,a,1520,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1536,a,1521,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1536,a,1522,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1536,a,1523,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1536,a,1524,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1536,a,1525,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1536,a,1526,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1536,a,1527,b)]. 27.11/27.29 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1536,a,1528,b)]. 27.24/27.41 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1536,a,1529,b)]. 27.24/27.41 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1536,a,1530,b)]. 27.24/27.41 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1536,a,1531,b)]. 27.24/27.41 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1536,a,1532,b)]. 27.24/27.41 Derived: -top_str(A) | empty_carrier(A) | element(f265(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1536,a,1533,b)]. 27.24/27.41 1537 -topological_space(A) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) # label(fc5_pre_topc) # label(axiom). [clausify(382)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1537,a,1389,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1537,a,1520,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1537,a,1521,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1537,a,1522,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1537,a,1523,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1537,a,1524,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1537,a,1525,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1537,a,1526,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1537,a,1527,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1537,a,1528,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1537,a,1529,b)]. 27.24/27.41 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1537,a,1530,b)]. 27.27/27.46 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1537,a,1531,b)]. 27.27/27.46 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1537,a,1532,b)]. 27.27/27.46 Derived: -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1537,a,1533,b)]. 27.27/27.46 1538 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma). [clausify(402)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1538,c,1389,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1538,c,1520,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1538,c,1521,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1538,c,1522,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1538,c,1523,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1538,c,1524,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1538,c,1525,b)]. 27.27/27.46 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1538,c,1526,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1538,c,1527,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1538,c,1528,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1538,c,1529,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1538,c,1530,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1538,c,1531,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1538,c,1532,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(C,f287(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1538,c,1533,b)]. 27.27/27.48 1539 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma). [clausify(402)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1539,c,1389,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1539,c,1520,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1539,c,1521,b)]. 27.27/27.48 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1539,c,1522,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1539,c,1523,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1539,c,1524,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1539,c,1525,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1539,c,1526,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1539,c,1527,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1539,c,1528,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1539,c,1529,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1539,c,1530,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1539,c,1531,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1539,c,1532,b)]. 27.27/27.50 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(C,f287(A,B)) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1539,c,1533,b)]. 27.27/27.50 1540 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | element(f287(A,B),powerset(powerset(the_carrier(A)))) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma). [clausify(402)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1540,c,1389,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1540,c,1520,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1540,c,1521,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1540,c,1522,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1540,c,1523,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1540,c,1524,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1540,c,1525,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1540,c,1526,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1540,c,1527,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1540,c,1528,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1540,c,1529,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1540,c,1530,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1540,c,1531,b)]. 27.37/27.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1540,c,1532,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f287(A,B),powerset(powerset(the_carrier(A)))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1540,c,1533,b)]. 27.44/27.63 1541 -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | -topological_space(A) | closed_subset(subset_complement(the_carrier(A),B),A) # label(fc4_tops_1) # label(axiom). [clausify(457)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1541,d,1389,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1541,d,1520,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1541,d,1521,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1541,d,1522,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1541,d,1523,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1541,d,1524,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1541,d,1525,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1541,d,1526,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1541,d,1527,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1541,d,1528,b)]. 27.44/27.63 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1541,d,1529,b)]. 27.44/27.68 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1541,d,1530,b)]. 27.44/27.68 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1541,d,1531,b)]. 27.44/27.68 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1541,d,1532,b)]. 27.44/27.68 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1541,d,1533,b)]. 27.44/27.68 1542 -top_str(A) | -topological_space(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D # label(t55_tops_1) # label(lemma). [clausify(479)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1542,b,1389,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1542,b,1520,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1542,b,1521,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1542,b,1522,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1542,b,1523,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1542,b,1524,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1542,b,1525,b)]. 27.44/27.68 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1542,b,1526,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1542,b,1527,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1542,b,1528,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1542,b,1529,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1542,b,1530,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1542,b,1531,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1542,b,1532,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1542,b,1533,b)]. 27.54/27.71 1543 -top_str(A) | -topological_space(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) # label(t55_tops_1) # label(lemma). [clausify(479)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1543,b,1389,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1543,b,1520,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1543,b,1521,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1543,b,1522,b)]. 27.54/27.71 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1543,b,1523,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1543,b,1524,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1543,b,1525,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1543,b,1526,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1543,b,1527,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1543,b,1528,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1543,b,1529,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1543,b,1530,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1543,b,1531,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1543,b,1532,b)]. 27.64/27.81 Derived: -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1543,b,1533,b)]. 27.64/27.81 1544 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma). [clausify(499)]. 27.64/27.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1544,c,1389,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1544,c,1520,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1544,c,1521,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1544,c,1522,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1544,c,1523,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1544,c,1524,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1544,c,1525,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1544,c,1526,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1544,c,1527,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1544,c,1528,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1544,c,1529,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1544,c,1530,b)]. 27.68/27.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1544,c,1531,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1544,c,1532,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1544,c,1533,b)]. 27.68/27.86 1545 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma). [clausify(499)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1545,c,1389,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1545,c,1520,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1545,c,1521,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1545,c,1522,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1545,c,1523,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1545,c,1524,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1545,c,1525,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1545,c,1526,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1545,c,1527,b)]. 27.68/27.86 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1545,c,1528,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1545,c,1529,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1545,c,1530,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1545,c,1531,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1545,c,1532,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1545,c,1533,b)]. 27.68/27.88 1546 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma). [clausify(499)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1546,c,1389,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1546,c,1520,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1546,c,1521,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1546,c,1522,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1546,c,1523,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1546,c,1524,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1546,c,1525,b)]. 27.68/27.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1546,c,1526,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1546,c,1527,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1546,c,1528,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1546,c,1529,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1546,c,1530,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1546,c,1531,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1546,c,1532,b)]. 27.76/27.93 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f364(A,B)) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1546,c,1533,b)]. 27.76/27.93 1547 -topological_space(A) | -top_str(A) | closed_subset(f375(A),A) # label(rc6_pre_topc) # label(axiom). [clausify(524)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1547,a,1389,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1547,a,1520,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1547,a,1521,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1547,a,1522,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1547,a,1523,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1547,a,1524,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1547,a,1525,b)]. 27.76/27.93 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1547,a,1526,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1547,a,1527,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1547,a,1528,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1547,a,1529,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1547,a,1530,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1547,a,1531,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1547,a,1532,b)]. 27.76/27.96 Derived: -top_str(A) | closed_subset(f375(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1547,a,1533,b)]. 27.76/27.96 1548 -topological_space(A) | -top_str(A) | element(f375(A),powerset(the_carrier(A))) # label(rc6_pre_topc) # label(axiom). [clausify(524)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1548,a,1389,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1548,a,1520,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1548,a,1521,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1548,a,1522,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1548,a,1523,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1548,a,1524,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1548,a,1525,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1548,a,1526,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1548,a,1527,b)]. 27.76/27.96 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1548,a,1528,b)]. 27.83/27.99 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1548,a,1529,b)]. 27.83/27.99 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1548,a,1530,b)]. 27.83/27.99 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1548,a,1531,b)]. 27.83/27.99 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1548,a,1532,b)]. 27.83/27.99 Derived: -top_str(A) | element(f375(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1548,a,1533,b)]. 27.83/27.99 1549 -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) # label(t44_pre_topc) # label(lemma). [clausify(531)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1549,a,1389,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1549,a,1520,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1549,a,1521,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1549,a,1522,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1549,a,1523,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1549,a,1524,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1549,a,1525,b)]. 27.83/27.99 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1549,a,1526,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1549,a,1527,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1549,a,1528,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1549,a,1529,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1549,a,1530,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1549,a,1531,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1549,a,1532,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f384(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1549,a,1533,b)]. 27.83/28.01 1550 -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) # label(t44_pre_topc) # label(lemma). [clausify(531)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1550,a,1389,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1550,a,1520,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1550,a,1521,b)]. 27.83/28.01 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1550,a,1522,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1550,a,1523,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1550,a,1524,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1550,a,1525,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1550,a,1526,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1550,a,1527,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1550,a,1528,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1550,a,1529,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1550,a,1530,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1550,a,1531,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1550,a,1532,b)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1550,a,1533,b)]. 27.83/28.04 1551 -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) # label(t44_pre_topc) # label(lemma). [clausify(531)]. 27.83/28.04 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1551,a,1389,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1551,a,1520,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1551,a,1521,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1551,a,1522,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1551,a,1523,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1551,a,1524,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1551,a,1525,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1551,a,1526,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1551,a,1527,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1551,a,1528,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1551,a,1529,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1551,a,1530,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1551,a,1531,b)]. 27.83/28.07 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1551,a,1532,b)]. 27.95/28.10 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f384(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1551,a,1533,b)]. 27.95/28.10 1552 -topological_space(A) | -top_str(A) | open_subset(f386(A),A) # label(rc1_tops_1) # label(axiom). [clausify(543)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1552,a,1389,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1552,a,1520,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1552,a,1521,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1552,a,1522,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1552,a,1523,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1552,a,1524,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1552,a,1525,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1552,a,1526,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1552,a,1527,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1552,a,1528,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1552,a,1529,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1552,a,1530,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1552,a,1531,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1552,a,1532,b)]. 27.95/28.10 Derived: -top_str(A) | open_subset(f386(A),A) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1552,a,1533,b)]. 27.95/28.10 1553 -topological_space(A) | -top_str(A) | element(f386(A),powerset(the_carrier(A))) # label(rc1_tops_1) # label(axiom). [clausify(543)]. 27.95/28.10 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1553,a,1389,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1553,a,1520,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f192(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1553,a,1521,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1553,a,1522,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | subset(f194(A),the_topology(A)). [resolve(1553,a,1523,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f193(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1553,a,1524,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1553,a,1525,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1553,a,1526,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f192(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1553,a,1527,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1553,a,1528,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1553,a,1529,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | in(f193(A),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1553,a,1530,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | element(f194(A),powerset(powerset(the_carrier(A)))). [resolve(1553,a,1531,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | subset(f194(A),the_topology(A)). [resolve(1553,a,1532,b)]. 36.05/36.29 Derived: -top_str(A) | element(f386(A),powerset(the_carrier(A))) | -top_str(A) | -in(the_carrier(A),the_topology(A)) | -in(subset_intersection2(the_carrier(A),f192(A),f193(A)),the_topology(A)) | -in(union_of_subsets(the_carrier(A),f194(A)),the_topology(A)). [resolve(1553,a,1533,b)]. 36.05/36.29 1554 epsilon_connected(A) | -ordinal(A) # label(d4_ordinal1) # label(axiom). [clausify(34)]. 36.05/36.29 1555 -epsilon_connected(A) | -epsilon_transitive(A) | ordinal(A) # label(d4_ordinal1) # label(axiom). [clausify(34)]. 36.05/36.29 1556 epsilon_connected(c3) # label(rc1_ordinal1) # label(axiom). [clausify(47)]. 36.05/36.29 1557 -epsilon_transitive(A) | -epsilon_connected(A) | ordinal(A) # label(cc2_ordinal1) # label(axiom). [clausify(51)]. 36.05/36.29 Derived: -epsilon_transitive(c3) | ordinal(c3). [resolve(1557,b,1556,a)]. 36.05/36.29 1558 -ordinal(A) | epsilon_connected(succ(A)) # label(fc3_ordinal1) # label(axiom). [clausify(85)]. 37.14/37.34 1559 epsilon_connected(c8) # label(rc1_arytm_3) # label(axiom). [clausify(96)]. 37.14/37.34 1560 epsilon_connected(c10) # label(rc1_ordinal2) # label(axiom). [clausify(135)]. 37.14/37.34 Derived: -epsilon_transitive(c10) | ordinal(c10). [resolve(1560,a,1555,a)]. 37.14/37.34 1561 -empty(A) | epsilon_connected(A) # label(cc3_ordinal1) # label(axiom). [clausify(204)]. 37.14/37.34 Derived: -empty(A) | -epsilon_transitive(A) | ordinal(A). [resolve(1561,b,1555,a)]. 37.14/37.34 1562 epsilon_connected(c16) # label(rc2_ordinal1) # label(axiom). [clausify(246)]. 37.14/37.34 Derived: -epsilon_transitive(c16) | ordinal(c16). [resolve(1562,a,1555,a)]. 37.14/37.34 1563 epsilon_connected(omega) # label(fc1_ordinal2_AndRHS_AndRHS_AndRHS) # label(axiom). [assumption]. 37.14/37.34 Derived: -epsilon_transitive(omega) | ordinal(omega). [resolve(1563,a,1555,a)]. 37.14/37.34 1564 -ordinal(A) | epsilon_connected(union(A)) # label(fc4_ordinal1) # label(axiom). [clausify(300)]. 37.14/37.34 1565 -epsilon_connected(A) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A) # label(d3_ordinal1) # label(axiom). [clausify(340)]. 37.14/37.34 Derived: -in(A,B) | in(A,C) | A = C | in(C,A) | -in(C,B) | -ordinal(B). [resolve(1565,a,1554,a)]. 37.14/37.34 Derived: -in(A,c3) | in(A,B) | A = B | in(B,A) | -in(B,c3). [resolve(1565,a,1556,a)]. 37.14/37.34 Derived: -in(A,succ(B)) | in(A,C) | A = C | in(C,A) | -in(C,succ(B)) | -ordinal(B). [resolve(1565,a,1558,b)]. 37.14/37.34 Derived: -in(A,c8) | in(A,B) | A = B | in(B,A) | -in(B,c8). [resolve(1565,a,1559,a)]. 37.14/37.34 Derived: -in(A,c10) | in(A,B) | A = B | in(B,A) | -in(B,c10). [resolve(1565,a,1560,a)]. 37.14/37.34 Derived: -in(A,B) | in(A,C) | A = C | in(C,A) | -in(C,B) | -empty(B). [resolve(1565,a,1561,b)]. 37.14/37.34 Derived: -in(A,c16) | in(A,B) | A = B | in(B,A) | -in(B,c16). [resolve(1565,a,1562,a)]. 37.14/37.34 Derived: -in(A,omega) | in(A,B) | A = B | in(B,A) | -in(B,omega). [resolve(1565,a,1563,a)]. 37.14/37.34 Derived: -in(A,union(B)) | in(A,C) | A = C | in(C,A) | -in(C,union(B)) | -ordinal(B). [resolve(1565,a,1564,b)]. 37.14/37.34 1566 epsilon_connected(A) | in(f219(A),A) # label(d3_ordinal1) # label(axiom). [clausify(340)]. 37.14/37.34 Derived: in(f219(A),A) | -epsilon_transitive(A) | ordinal(A). [resolve(1566,a,1555,a)]. 37.14/37.34 Derived: in(f219(A),A) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A). [resolve(1566,a,1565,a)]. 37.14/37.34 1567 epsilon_connected(A) | -in(f219(A),f218(A)) # label(d3_ordinal1) # label(axiom). [clausify(340)]. 37.14/37.34 Derived: -in(f219(A),f218(A)) | -epsilon_transitive(A) | ordinal(A). [resolve(1567,a,1555,a)]. 37.14/37.34 Derived: -in(f219(A),f218(A)) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A). [resolve(1567,a,1565,a)]. 37.14/37.34 1568 epsilon_connected(A) | f219(A) != f218(A) # label(d3_ordinal1) # label(axiom). [clausify(340)]. 37.14/37.34 Derived: f219(A) != f218(A) | -epsilon_transitive(A) | ordinal(A). [resolve(1568,a,1555,a)]. 37.14/37.34 Derived: f219(A) != f218(A) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A). [resolve(1568,a,1565,a)]. 37.14/37.34 1569 epsilon_connected(A) | -in(f218(A),f219(A)) # label(d3_ordinal1) # label(axiom). [clausify(340)]. 37.14/37.34 Derived: -in(f218(A),f219(A)) | -epsilon_transitive(A) | ordinal(A). [resolve(1569,a,1555,a)]. 37.14/37.34 Derived: -in(f218(A),f219(A)) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A). [resolve(1569,a,1565,a)]. 37.14/37.34 1570 epsilon_connected(A) | in(f218(A),A) # label(d3_ordinal1) # label(axiom). [clausify(340)]. 37.14/37.34 Derived: in(f218(A),A) | -epsilon_transitive(A) | ordinal(A). [resolve(1570,a,1555,a)]. 37.14/37.34 Derived: in(f218(A),A) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A). [resolve(1570,a,1565,a)]. 37.14/37.34 1571 -natural(A) | -ordinal(A) | epsilon_connected(succ(A)) # label(fc2_arytm_3) # label(axiom). [clausify(367)]. 37.14/37.34 Derived: -natural(A) | -ordinal(A) | -epsilon_transitive(succ(A)) | ordinal(succ(A)). [resolve(1571,c,1555,a)]. 37.14/37.34 1572 epsilon_connected(empty_set) # label(fc2_ordinal1_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom). [assumption]. 37.14/37.34 Derived: -in(A,empty_set) | in(A,B) | A = B | in(B,A) | -in(B,empty_set). [resolve(1572,a,1565,a)]. 37.14/37.34 1573 -ordinal(A) | epsilon_connected(A) # label(cc1_ordinal1) # label(axiom). [clausify(416)]. 37.14/37.34 1574 -empty(A) | -ordinal(A) | epsilon_connected(A) # label(cc2_arytm_3) # label(axiom). [clausify(436)]. 63.42/63.60 1575 epsilon_connected(c28) # label(rc3_ordinal1) # label(axiom). [clausify(474)]. 63.42/63.60 Derived: -epsilon_transitive(c28) | ordinal(c28). [resolve(1575,a,1555,a)]. 63.42/63.60 Derived: -in(A,c28) | in(A,B) | A = B | in(B,A) | -in(B,c28). [resolve(1575,a,1565,a)]. 63.42/63.60 1576 -ordinal(A) | -element(B,A) | epsilon_connected(B) # label(cc1_arytm_3) # label(axiom). [clausify(478)]. 63.42/63.60 Derived: -ordinal(A) | -element(B,A) | -epsilon_transitive(B) | ordinal(B). [resolve(1576,c,1555,a)]. 63.42/63.60 Derived: -ordinal(A) | -element(B,A) | -in(C,B) | in(C,D) | C = D | in(D,C) | -in(D,B). [resolve(1576,c,1565,a)]. 63.42/63.60 1577 -element(A,omega) | epsilon_connected(A) # label(cc3_arytm_3) # label(axiom). [clausify(523)]. 63.42/63.60 Derived: -element(A,omega) | -in(B,A) | in(B,C) | B = C | in(C,B) | -in(C,A). [resolve(1577,b,1565,a)]. 63.42/63.60 1578 epsilon_connected(f393(A)) # label(rc2_finset_1) # label(axiom). [clausify(550)]. 63.42/63.60 Derived: -epsilon_transitive(f393(A)) | ordinal(f393(A)). [resolve(1578,a,1555,a)]. 63.42/63.60 Derived: -in(A,f393(B)) | in(A,C) | A = C | in(C,A) | -in(C,f393(B)). [resolve(1578,a,1565,a)]. 63.42/63.60 1579 are_equipotent(A,B) | -equipotent(A,B) # label(redefinition_r2_wellord2) # label(axiom). [clausify(56)]. 63.42/63.60 1580 -are_equipotent(A,B) | equipotent(A,B) # label(redefinition_r2_wellord2) # label(axiom). [clausify(56)]. 63.42/63.60 1581 -subset(A,f204(B)) | are_equipotent(A,f204(B)) | in(A,f204(B)) # label(t136_zfmisc_1) # label(lemma). [clausify(288)]. 63.42/63.60 Derived: -subset(A,f204(B)) | in(A,f204(B)) | equipotent(A,f204(B)). [resolve(1581,b,1580,a)]. 63.42/63.60 1582 -subset(A,f323(B)) | are_equipotent(A,f323(B)) | in(A,f323(B)) # label(t9_tarski) # label(axiom). [clausify(454)]. 63.42/63.60 Derived: -subset(A,f323(B)) | in(A,f323(B)) | equipotent(A,f323(B)). [resolve(1582,b,1580,a)]. 63.42/63.60 1583 empty_carrier(A) | -latt_str(A) | element(f370(A),the_carrier(A)) | meet_absorbing(A) # label(d8_lattices) # label(axiom). [clausify(517)]. 63.42/63.60 1584 -meet_absorbing(A) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below(A,meet_commut(A,B,C),B) # label(t23_lattices) # label(lemma). [clausify(62)]. 63.42/63.60 Derived: empty_carrier(A) | -latt_str(A) | element(f370(A),the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below(A,meet_commut(A,B,C),B). [resolve(1583,d,1584,a)]. 63.42/63.60 1585 empty_carrier(A) | -latt_str(A) | element(f371(A),the_carrier(A)) | meet_absorbing(A) # label(d8_lattices) # label(axiom). [clausify(517)]. 63.42/63.60 Derived: empty_carrier(A) | -latt_str(A) | element(f371(A),the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below(A,meet_commut(A,B,C),B). [resolve(1585,d,1584,a)]. 63.42/63.60 1586 empty_carrier(A) | -latt_str(A) | join(A,meet(A,f370(A),f371(A)),f371(A)) != f371(A) | meet_absorbing(A) # label(d8_lattices) # label(axiom). [clausify(517)]. 63.42/63.60 Derived: empty_carrier(A) | -latt_str(A) | join(A,meet(A,f370(A),f371(A)),f371(A)) != f371(A) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below(A,meet_commut(A,B,C),B). [resolve(1586,d,1584,a)]. 63.42/63.60 1587 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,meet(A,B,C),C) = C | -meet_absorbing(A) # label(d8_lattices) # label(axiom). [clausify(517)]. 63.42/63.60 Derived: empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,meet(A,B,C),C) = C | empty_carrier(A) | -latt_str(A) | element(f370(A),the_carrier(A)). [resolve(1587,f,1583,d)]. 63.42/63.60 Derived: empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,meet(A,B,C),C) = C | empty_carrier(A) | -latt_str(A) | element(f371(A),the_carrier(A)). [resolve(1587,f,1585,d)]. 63.42/63.60 Derived: empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,meet(A,B,C),C) = C | empty_carrier(A) | -latt_str(A) | join(A,meet(A,f370(A),f371(A)),f371(A)) != f371(A). [resolve(1587,f,1586,d)]. 63.42/63.60 1588 -meet_commutative(A) | -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | meet_commut(A,B,C) = meet_commut(A,C,B) # label(commutativity_k4_lattices) # label(axiom). [clausify(112)]. 64.65/64.85 1589 meet_semilatt_str(c6) # label(existence_l1_lattices) # label(axiom). [clausify(70)]. 64.65/64.85 Derived: -meet_commutative(c6) | -element(A,the_carrier(c6)) | -element(B,the_carrier(c6)) | empty_carrier(c6) | meet_commut(c6,A,B) = meet_commut(c6,B,A). [resolve(1588,b,1589,a)]. 64.65/64.85 1590 -latt_str(A) | meet_semilatt_str(A) # label(dt_l3_lattices) # label(axiom). [clausify(139)]. 64.65/64.85 Derived: -latt_str(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | meet_commut(A,B,C) = meet_commut(A,C,B). [resolve(1590,b,1588,b)]. 64.65/64.85 1591 empty_carrier(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_semilatt_str(A) | element(meet_commut(A,B,C),the_carrier(A)) # label(dt_k4_lattices) # label(axiom). [clausify(172)]. 64.65/64.85 Derived: empty_carrier(c6) | -meet_commutative(c6) | -element(A,the_carrier(c6)) | -element(B,the_carrier(c6)) | element(meet_commut(c6,A,B),the_carrier(c6)). [resolve(1591,e,1589,a)]. 64.65/64.85 Derived: empty_carrier(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | element(meet_commut(A,B,C),the_carrier(A)) | -latt_str(A). [resolve(1591,e,1590,b)]. 64.65/64.85 1592 -meet_semilatt_str(A) | relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(dt_u1_lattices) # label(axiom). [clausify(270)]. 64.65/64.85 Derived: relation_of2_as_subset(the_L_meet(c6),cartesian_product2(the_carrier(c6),the_carrier(c6)),the_carrier(c6)). [resolve(1592,a,1589,a)]. 64.65/64.85 Derived: relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A). [resolve(1592,a,1590,b)]. 64.65/64.85 1593 -meet_semilatt_str(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(dt_u1_lattices) # label(axiom). [clausify(270)]. 64.65/64.85 Derived: quasi_total(the_L_meet(c6),cartesian_product2(the_carrier(c6),the_carrier(c6)),the_carrier(c6)). [resolve(1593,a,1589,a)]. 64.65/64.85 Derived: quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A). [resolve(1593,a,1590,b)]. 64.65/64.85 1594 -meet_semilatt_str(A) | function(the_L_meet(A)) # label(dt_u1_lattices) # label(axiom). [clausify(270)]. 64.65/64.85 Derived: function(the_L_meet(c6)). [resolve(1594,a,1589,a)]. 64.65/64.85 Derived: function(the_L_meet(A)) | -latt_str(A). [resolve(1594,a,1590,b)]. 64.65/64.85 1595 empty_carrier(A) | -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_commutative(A) | meet(A,B,C) = meet_commut(A,B,C) # label(redefinition_k4_lattices) # label(axiom). [clausify(339)]. 64.65/64.85 Derived: empty_carrier(c6) | -element(A,the_carrier(c6)) | -element(B,the_carrier(c6)) | -meet_commutative(c6) | meet(c6,A,B) = meet_commut(c6,A,B). [resolve(1595,b,1589,a)]. 64.65/64.85 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_commutative(A) | meet(A,B,C) = meet_commut(A,B,C) | -latt_str(A). [resolve(1595,b,1590,b)]. 64.65/64.85 1596 empty_carrier(A) | -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet(A,B,C) = apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C) # label(d2_lattices) # label(axiom). [clausify(356)]. 64.65/64.85 Derived: empty_carrier(c6) | -element(A,the_carrier(c6)) | -element(B,the_carrier(c6)) | meet(c6,A,B) = apply_binary_as_element(the_carrier(c6),the_carrier(c6),the_carrier(c6),the_L_meet(c6),A,B). [resolve(1596,b,1589,a)]. 64.65/64.85 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet(A,B,C) = apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C) | -latt_str(A). [resolve(1596,b,1590,b)]. 64.65/64.85 1597 -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | element(meet(A,B,C),the_carrier(A)) # label(dt_k2_lattices) # label(axiom). [clausify(452)]. 64.65/64.85 Derived: -element(A,the_carrier(c6)) | -element(B,the_carrier(c6)) | empty_carrier(c6) | element(meet(c6,A,B),the_carrier(c6)). [resolve(1597,a,1589,a)]. 65.24/65.48 Derived: -element(A,the_carrier(B)) | -element(C,the_carrier(B)) | empty_carrier(B) | element(meet(B,A,C),the_carrier(B)) | -latt_str(B). [resolve(1597,a,1590,b)]. 65.24/65.48 1598 -meet_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(889,b,561,a)]. 65.24/65.48 Derived: cast_as_carrier_subset(c6) = the_carrier(c6). [resolve(1598,a,1589,a)]. 65.24/65.48 Derived: cast_as_carrier_subset(A) = the_carrier(A) | -latt_str(A). [resolve(1598,a,1590,b)]. 65.24/65.48 1599 -meet_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(889,b,562,a)]. 65.24/65.48 Derived: empty_carrier_subset(c6) = empty_set. [resolve(1599,a,1589,a)]. 65.24/65.48 Derived: empty_carrier_subset(A) = empty_set | -latt_str(A). [resolve(1599,a,1590,b)]. 65.24/65.48 1600 -meet_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(889,b,563,a)]. 65.24/65.48 Derived: element(cast_as_carrier_subset(c6),powerset(the_carrier(c6))). [resolve(1600,a,1589,a)]. 65.24/65.48 Derived: element(cast_as_carrier_subset(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1600,a,1590,b)]. 65.24/65.48 1601 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,564,b)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1601,a,1589,a)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1601,a,1590,b)]. 65.24/65.48 1602 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,565,b)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1602,a,1589,a)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1602,a,1590,b)]. 65.24/65.48 1603 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,566,b)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1603,a,1589,a)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1603,a,1590,b)]. 65.24/65.48 1604 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,567,b)]. 65.24/65.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1604,a,1589,a)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1604,a,1590,b)]. 65.24/65.49 1605 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,568,b)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1605,a,1589,a)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1605,a,1590,b)]. 65.24/65.49 1606 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,569,b)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1606,a,1589,a)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1606,a,1590,b)]. 65.24/65.49 1607 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,570,b)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1607,a,1589,a)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1607,a,1590,b)]. 65.24/65.49 1608 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,571,b)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f15(c6,A,B),f16(c6,A,B)) = f13(c6,A,B) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1608,a,1589,a)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f15(B,A,C),f16(B,A,C)) = f13(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1608,a,1590,b)]. 65.24/65.49 1609 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,572,b)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c6,A,C,E,D,F,V6),powerset(the_carrier(c6))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c6,A,C)). [resolve(1609,a,1589,a)]. 65.24/65.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | element(f20(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) | -latt_str(B). [resolve(1609,a,1590,b)]. 65.24/65.49 1610 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,573,b)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c6,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c6,A,C)). [resolve(1610,a,1589,a)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | f20(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) | -latt_str(B). [resolve(1610,a,1590,b)]. 65.34/65.50 1611 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,574,b)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c6),f20(c6,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c6,A,C)). [resolve(1611,a,1589,a)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | subset_complement(the_carrier(B),f20(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) | -latt_str(B). [resolve(1611,a,1590,b)]. 65.34/65.50 1612 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(889,b,575,b)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | in(f21(c6,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c6,A,C)). [resolve(1612,a,1589,a)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | in(f21(B,A,D,E),cartesian_product2(A,D)) | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1612,a,1590,b)]. 65.34/65.50 1613 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(889,b,576,b)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | f21(c6,A,C,D) = D | -in(D,f19(c6,A,C)). [resolve(1613,a,1589,a)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | f21(B,A,D,E) = E | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1613,a,1590,b)]. 65.34/65.50 1614 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(889,b,577,b)]. 65.34/65.50 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | -element(D,powerset(the_carrier(c6))) | D != f22(c6,A,C,E) | subset_complement(the_carrier(c6),D) = f23(c6,A,C,E) | -in(E,f19(c6,A,C)). [resolve(1614,a,1589,a)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f22(B,A,D,F) | subset_complement(the_carrier(B),E) = f23(B,A,D,F) | -in(F,f19(B,A,D)) | -latt_str(B). [resolve(1614,a,1590,b)]. 65.34/65.52 1615 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(889,b,578,b)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | in(f22(c6,A,C,D),A) | -in(D,f19(c6,A,C)). [resolve(1615,a,1589,a)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | in(f22(B,A,D,E),A) | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1615,a,1590,b)]. 65.34/65.52 1616 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(889,b,579,b)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f15(c6,A,C) | subset_complement(the_carrier(c6),B) = f16(c6,A,C) | ordered_pair(f22(c6,A,C,D),f23(c6,A,C,D)) = D | -in(D,f19(c6,A,C)). [resolve(1616,a,1589,a)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f15(B,A,D) | subset_complement(the_carrier(B),C) = f16(B,A,D) | ordered_pair(f22(B,A,D,E),f23(B,A,D,E)) = E | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1616,a,1590,b)]. 65.34/65.52 1617 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,580,b)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1617,a,1589,a)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1617,a,1590,b)]. 65.34/65.52 1618 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,581,b)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1618,a,1589,a)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1618,a,1590,b)]. 65.34/65.52 1619 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,582,b)]. 65.34/65.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1619,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1619,a,1590,b)]. 65.34/65.53 1620 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,583,b)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1620,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1620,a,1590,b)]. 65.34/65.53 1621 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,584,b)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1621,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1621,a,1590,b)]. 65.34/65.53 1622 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,585,b)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1622,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1622,a,1590,b)]. 65.34/65.53 1623 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,586,b)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1623,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1623,a,1590,b)]. 65.34/65.53 1624 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,587,b)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f15(c6,A,B),A) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1624,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f15(B,A,C),A) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1624,a,1590,b)]. 65.34/65.53 1625 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,588,b)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c6,A,C,E,D,F,V6),powerset(the_carrier(c6))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c6,A,C)). [resolve(1625,a,1589,a)]. 65.34/65.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | element(f20(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) | -latt_str(B). [resolve(1625,a,1590,b)]. 65.34/65.55 1626 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,589,b)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c6,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c6,A,C)). [resolve(1626,a,1589,a)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | f20(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) | -latt_str(B). [resolve(1626,a,1590,b)]. 65.34/65.55 1627 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(889,b,590,b)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c6),f20(c6,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c6,A,C)). [resolve(1627,a,1589,a)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | subset_complement(the_carrier(B),f20(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | ordered_pair(V6,V7) != F | in(F,f19(B,A,D)) | -latt_str(B). [resolve(1627,a,1590,b)]. 65.34/65.55 1628 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(889,b,591,b)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | in(f21(c6,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c6,A,C)). [resolve(1628,a,1589,a)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | in(f21(B,A,D,E),cartesian_product2(A,D)) | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1628,a,1590,b)]. 65.34/65.55 1629 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(889,b,592,b)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | f21(c6,A,C,D) = D | -in(D,f19(c6,A,C)). [resolve(1629,a,1589,a)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | f21(B,A,D,E) = E | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1629,a,1590,b)]. 65.34/65.55 1630 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(889,b,593,b)]. 65.34/65.55 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | -element(D,powerset(the_carrier(c6))) | D != f22(c6,A,C,E) | subset_complement(the_carrier(c6),D) = f23(c6,A,C,E) | -in(E,f19(c6,A,C)). [resolve(1630,a,1589,a)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f22(B,A,D,F) | subset_complement(the_carrier(B),E) = f23(B,A,D,F) | -in(F,f19(B,A,D)) | -latt_str(B). [resolve(1630,a,1590,b)]. 65.34/65.56 1631 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(889,b,594,b)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | in(f22(c6,A,C,D),A) | -in(D,f19(c6,A,C)). [resolve(1631,a,1589,a)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | in(f22(B,A,D,E),A) | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1631,a,1590,b)]. 65.34/65.56 1632 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(889,b,595,b)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f17(c6,A,C) | subset_complement(the_carrier(c6),B) = f18(c6,A,C) | ordered_pair(f22(c6,A,C,D),f23(c6,A,C,D)) = D | -in(D,f19(c6,A,C)). [resolve(1632,a,1589,a)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f17(B,A,D) | subset_complement(the_carrier(B),C) = f18(B,A,D) | ordered_pair(f22(B,A,D,E),f23(B,A,D,E)) = E | -in(E,f19(B,A,D)) | -latt_str(B). [resolve(1632,a,1590,b)]. 65.34/65.56 1633 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,596,b)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1633,a,1589,a)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1633,a,1590,b)]. 65.34/65.56 1634 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,597,b)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1634,a,1589,a)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1634,a,1590,b)]. 65.34/65.56 1635 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,598,b)]. 65.34/65.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1635,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1635,a,1590,b)]. 65.34/65.58 1636 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,599,b)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1636,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1636,a,1590,b)]. 65.34/65.58 1637 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,600,b)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1637,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1637,a,1590,b)]. 65.34/65.58 1638 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,601,b)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1638,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1638,a,1590,b)]. 65.34/65.58 1639 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,602,b)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1639,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1639,a,1590,b)]. 65.34/65.58 1640 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,603,b)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f17(c6,A,B),A) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1640,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f17(B,A,C),A) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1640,a,1590,b)]. 65.34/65.58 1641 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,604,b)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1641,a,1589,a)]. 65.34/65.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1641,a,1590,b)]. 65.34/65.58 1642 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,605,b)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1642,a,1589,a)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1642,a,1590,b)]. 65.34/65.59 1643 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,606,b)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1643,a,1589,a)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1643,a,1590,b)]. 65.34/65.59 1644 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,607,b)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1644,a,1589,a)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1644,a,1590,b)]. 65.34/65.59 1645 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,608,b)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1645,a,1589,a)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1645,a,1590,b)]. 65.34/65.59 1646 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,609,b)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1646,a,1589,a)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1646,a,1590,b)]. 65.34/65.59 1647 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,610,b)]. 65.34/65.59 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1647,a,1589,a)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1647,a,1590,b)]. 65.45/65.61 1648 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,611,b)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f17(c6,A,B),f18(c6,A,B)) = f14(c6,A,B) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1648,a,1589,a)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f17(B,A,C),f18(B,A,C)) = f14(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1648,a,1590,b)]. 65.45/65.61 1649 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,612,b)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1649,a,1589,a)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1649,a,1590,b)]. 65.45/65.61 1650 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,613,b)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1650,a,1589,a)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1650,a,1590,b)]. 65.45/65.61 1651 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,614,b)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1651,a,1589,a)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1651,a,1590,b)]. 65.45/65.61 1652 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,615,b)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1652,a,1589,a)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1652,a,1590,b)]. 65.45/65.61 1653 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,616,b)]. 65.45/65.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1653,a,1589,a)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1653,a,1590,b)]. 65.45/65.62 1654 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,617,b)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1654,a,1589,a)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1654,a,1590,b)]. 65.45/65.62 1655 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,618,b)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1655,a,1589,a)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1655,a,1590,b)]. 65.45/65.62 1656 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,619,b)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) = f12(c6,A,B) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1656,a,1589,a)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) = f12(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1656,a,1590,b)]. 65.45/65.62 1657 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,620,b)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1657,a,1589,a)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1657,a,1590,b)]. 65.45/65.62 1658 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,621,b)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1658,a,1589,a)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1658,a,1590,b)]. 65.45/65.62 1659 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,622,b)]. 65.45/65.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1659,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1659,a,1590,b)]. 65.45/65.64 1660 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,623,b)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1660,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1660,a,1590,b)]. 65.45/65.64 1661 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,624,b)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1661,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1661,a,1590,b)]. 65.45/65.64 1662 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,625,b)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1662,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1662,a,1590,b)]. 65.45/65.64 1663 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,626,b)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1663,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1663,a,1590,b)]. 65.45/65.64 1664 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,627,b)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f13(c6,A,B) = f12(c6,A,B) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1664,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f13(B,A,C) = f12(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1664,a,1590,b)]. 65.45/65.64 1665 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,628,b)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c6,A,B,D,C,E,F),powerset(the_carrier(c6))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1665,a,1589,a)]. 65.45/65.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1665,a,1590,b)]. 65.45/65.64 1666 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,629,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c6,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1666,a,1589,a)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(B,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1666,a,1590,b)]. 65.45/65.65 1667 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(889,b,630,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c6),f20(c6,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c6,A,B)). [resolve(1667,a,1589,a)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(B),f20(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(B,A,C)) | -latt_str(B). [resolve(1667,a,1590,b)]. 65.45/65.65 1668 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(889,b,631,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | in(f21(c6,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c6,A,B)). [resolve(1668,a,1589,a)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | in(f21(B,A,C,D),cartesian_product2(A,C)) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1668,a,1590,b)]. 65.45/65.65 1669 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(889,b,632,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | f21(c6,A,B,C) = C | -in(C,f19(c6,A,B)). [resolve(1669,a,1589,a)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | f21(B,A,C,D) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1669,a,1590,b)]. 65.45/65.65 1670 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(889,b,633,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f22(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f23(c6,A,B,D) | -in(D,f19(c6,A,B)). [resolve(1670,a,1589,a)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f22(B,A,C,E) | subset_complement(the_carrier(B),D) = f23(B,A,C,E) | -in(E,f19(B,A,C)) | -latt_str(B). [resolve(1670,a,1590,b)]. 65.45/65.65 1671 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(889,b,634,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | in(f22(c6,A,B,C),A) | -in(C,f19(c6,A,B)). [resolve(1671,a,1589,a)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | in(f22(B,A,C,D),A) | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1671,a,1590,b)]. 65.45/65.65 1672 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(889,b,635,b)]. 65.45/65.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f14(c6,A,B) != f13(c6,A,B) | ordered_pair(f22(c6,A,B,C),f23(c6,A,B,C)) = C | -in(C,f19(c6,A,B)). [resolve(1672,a,1589,a)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f14(B,A,C) != f13(B,A,C) | ordered_pair(f22(B,A,C,D),f23(B,A,C,D)) = D | -in(D,f19(B,A,C)) | -latt_str(B). [resolve(1672,a,1590,b)]. 65.45/65.67 1673 -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(889,b,636,a)]. 65.45/65.67 Derived: -element(A,powerset(the_carrier(c6))) | subset_difference(the_carrier(c6),cast_as_carrier_subset(c6),A) = subset_complement(the_carrier(c6),A). [resolve(1673,a,1589,a)]. 65.45/65.67 Derived: -element(A,powerset(the_carrier(B))) | subset_difference(the_carrier(B),cast_as_carrier_subset(B),A) = subset_complement(the_carrier(B),A) | -latt_str(B). [resolve(1673,a,1590,b)]. 65.45/65.67 1674 -meet_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(889,b,637,b)]. 65.45/65.67 Derived: empty_carrier(c6) | -element(A,powerset(powerset(the_carrier(c6)))) | -is_a_cover_of_carrier(c6,A) | empty_set != A. [resolve(1674,a,1589,a)]. 65.45/65.67 Derived: empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -latt_str(A). [resolve(1674,a,1590,b)]. 65.45/65.67 1675 -meet_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(889,b,638,a)]. 65.45/65.67 Derived: element(empty_carrier_subset(c6),powerset(the_carrier(c6))). [resolve(1675,a,1589,a)]. 65.45/65.67 Derived: element(empty_carrier_subset(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1675,a,1590,b)]. 65.45/65.67 1676 -meet_semilatt_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(889,b,639,b)]. 65.45/65.67 Derived: empty_carrier(c6) | -empty(f35(c6)). [resolve(1676,a,1589,a)]. 65.45/65.67 Derived: empty_carrier(A) | -empty(f35(A)) | -latt_str(A). [resolve(1676,a,1590,b)]. 65.45/65.67 1677 -meet_semilatt_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(889,b,640,b)]. 65.45/65.67 Derived: empty_carrier(c6) | element(f35(c6),powerset(the_carrier(c6))). [resolve(1677,a,1589,a)]. 65.45/65.67 Derived: empty_carrier(A) | element(f35(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1677,a,1590,b)]. 65.45/65.67 1678 -meet_semilatt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(889,b,641,a)]. 65.45/65.67 Derived: empty_carrier(c6) | -empty(the_carrier(c6)). [resolve(1678,a,1589,a)]. 65.45/65.67 Derived: empty_carrier(A) | -empty(the_carrier(A)) | -latt_str(A). [resolve(1678,a,1590,b)]. 65.45/65.67 1679 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | relation(f53(A,B)). [resolve(889,b,642,b)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | relation(f53(c6,A)). [resolve(1679,a,1589,a)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | relation(f53(B,A)) | -latt_str(B). [resolve(1679,a,1590,b)]. 65.45/65.67 1680 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | function(f53(A,B)). [resolve(889,b,643,b)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | function(f53(c6,A)). [resolve(1680,a,1589,a)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | function(f53(B,A)) | -latt_str(B). [resolve(1680,a,1590,b)]. 65.45/65.67 1681 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,644,b)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | -in(B,A) | element(f54(c6,A,B,C),powerset(the_carrier(c6))) | in(ordered_pair(B,C),f53(c6,A)). [resolve(1681,a,1589,a)]. 65.45/65.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1681,a,1590,b)]. 65.45/65.67 1682 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,645,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | -in(B,A) | f54(c6,A,B,C) = B | in(ordered_pair(B,C),f53(c6,A)). [resolve(1682,a,1589,a)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1682,a,1590,b)]. 65.45/65.69 1683 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,646,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | -in(B,A) | subset_complement(the_carrier(c6),f54(c6,A,B,C)) != C | in(ordered_pair(B,C),f53(c6,A)). [resolve(1683,a,1589,a)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1683,a,1590,b)]. 65.45/65.69 1684 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,647,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | in(B,A) | -in(ordered_pair(B,C),f53(c6,A)). [resolve(1684,a,1589,a)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1684,a,1590,b)]. 65.45/65.69 1685 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f50(A,B),B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,648,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f50(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != C | subset_complement(the_carrier(c6),B) = D | -in(ordered_pair(C,D),f53(c6,A)). [resolve(1685,a,1589,a)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1685,a,1590,b)]. 65.45/65.69 1686 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | relation(f53(A,B)). [resolve(889,b,649,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | relation(f53(c6,A)). [resolve(1686,a,1589,a)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | relation(f53(B,A)) | -latt_str(B). [resolve(1686,a,1590,b)]. 65.45/65.69 1687 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | function(f53(A,B)). [resolve(889,b,650,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | function(f53(c6,A)). [resolve(1687,a,1589,a)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | function(f53(B,A)) | -latt_str(B). [resolve(1687,a,1590,b)]. 65.45/65.69 1688 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,651,b)]. 65.45/65.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | -in(C,A) | element(f54(c6,A,C,D),powerset(the_carrier(c6))) | in(ordered_pair(C,D),f53(c6,A)). [resolve(1688,a,1589,a)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1688,a,1590,b)]. 65.54/65.70 1689 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,652,b)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | -in(C,A) | f54(c6,A,C,D) = C | in(ordered_pair(C,D),f53(c6,A)). [resolve(1689,a,1589,a)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1689,a,1590,b)]. 65.54/65.70 1690 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,653,b)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | -in(C,A) | subset_complement(the_carrier(c6),f54(c6,A,C,D)) != D | in(ordered_pair(C,D),f53(c6,A)). [resolve(1690,a,1589,a)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1690,a,1590,b)]. 65.54/65.70 1691 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,654,b)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | in(C,A) | -in(ordered_pair(C,D),f53(c6,A)). [resolve(1691,a,1589,a)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1691,a,1590,b)]. 65.54/65.70 1692 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f52(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(889,b,655,b)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f52(c6,A) | -element(C,powerset(the_carrier(c6))) | C != D | subset_complement(the_carrier(c6),C) = E | -in(ordered_pair(D,E),f53(c6,A)). [resolve(1692,a,1589,a)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) | -latt_str(B). [resolve(1692,a,1590,b)]. 65.54/65.70 1693 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | relation(f53(A,B)). [resolve(889,b,656,b)]. 65.54/65.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | relation(f53(c6,A)). [resolve(1693,a,1589,a)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | relation(f53(B,A)) | -latt_str(B). [resolve(1693,a,1590,b)]. 65.55/65.72 1694 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | function(f53(A,B)). [resolve(889,b,657,b)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | function(f53(c6,A)). [resolve(1694,a,1589,a)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | function(f53(B,A)) | -latt_str(B). [resolve(1694,a,1590,b)]. 65.55/65.72 1695 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | element(f54(A,B,D,E),powerset(the_carrier(A))) | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,658,b)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | -in(C,A) | element(f54(c6,A,C,D),powerset(the_carrier(c6))) | in(ordered_pair(C,D),f53(c6,A)). [resolve(1695,a,1589,a)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1695,a,1590,b)]. 65.55/65.72 1696 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | f54(A,B,D,E) = D | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,659,b)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | -in(C,A) | f54(c6,A,C,D) = C | in(ordered_pair(C,D),f53(c6,A)). [resolve(1696,a,1589,a)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1696,a,1590,b)]. 65.55/65.72 1697 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -in(D,B) | subset_complement(the_carrier(A),f54(A,B,D,E)) != E | in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,660,b)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | -in(C,A) | subset_complement(the_carrier(c6),f54(c6,A,C,D)) != D | in(ordered_pair(C,D),f53(c6,A)). [resolve(1697,a,1589,a)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1697,a,1590,b)]. 65.55/65.72 1698 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | in(D,B) | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,661,b)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | in(C,A) | -in(ordered_pair(C,D),f53(c6,A)). [resolve(1698,a,1589,a)]. 65.55/65.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1698,a,1590,b)]. 65.55/65.74 1699 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f50(A,B) | subset_complement(the_carrier(A),C) = f51(A,B) | -element(D,powerset(the_carrier(A))) | D != E | subset_complement(the_carrier(A),D) = F | -in(ordered_pair(E,F),f53(A,B)). [resolve(889,b,662,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f50(c6,A) | subset_complement(the_carrier(c6),B) = f51(c6,A) | -element(C,powerset(the_carrier(c6))) | C != D | subset_complement(the_carrier(c6),C) = E | -in(ordered_pair(D,E),f53(c6,A)). [resolve(1699,a,1589,a)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) | -latt_str(B). [resolve(1699,a,1590,b)]. 65.55/65.74 1700 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | relation(f53(A,B)). [resolve(889,b,663,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | relation(f53(c6,A)). [resolve(1700,a,1589,a)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | relation(f53(B,A)) | -latt_str(B). [resolve(1700,a,1590,b)]. 65.55/65.74 1701 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | function(f53(A,B)). [resolve(889,b,664,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | function(f53(c6,A)). [resolve(1701,a,1589,a)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | function(f53(B,A)) | -latt_str(B). [resolve(1701,a,1590,b)]. 65.55/65.74 1702 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | element(f54(A,B,C,D),powerset(the_carrier(A))) | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,665,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | -in(B,A) | element(f54(c6,A,B,C),powerset(the_carrier(c6))) | in(ordered_pair(B,C),f53(c6,A)). [resolve(1702,a,1589,a)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1702,a,1590,b)]. 65.55/65.74 1703 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | f54(A,B,C,D) = C | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,666,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | -in(B,A) | f54(c6,A,B,C) = B | in(ordered_pair(B,C),f53(c6,A)). [resolve(1703,a,1589,a)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1703,a,1590,b)]. 65.55/65.74 1704 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -in(C,B) | subset_complement(the_carrier(A),f54(A,B,C,D)) != D | in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,667,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | -in(B,A) | subset_complement(the_carrier(c6),f54(c6,A,B,C)) != C | in(ordered_pair(B,C),f53(c6,A)). [resolve(1704,a,1589,a)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1704,a,1590,b)]. 65.55/65.74 1705 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | in(C,B) | -in(ordered_pair(C,D),f53(A,B)). [resolve(889,b,668,b)]. 65.55/65.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | in(B,A) | -in(ordered_pair(B,C),f53(c6,A)). [resolve(1705,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) | -latt_str(B). [resolve(1705,a,1590,b)]. 65.55/65.75 1706 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f52(A,B) != f51(A,B) | -element(C,powerset(the_carrier(A))) | C != D | subset_complement(the_carrier(A),C) = E | -in(ordered_pair(D,E),f53(A,B)). [resolve(889,b,669,b)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f52(c6,A) != f51(c6,A) | -element(B,powerset(the_carrier(c6))) | B != C | subset_complement(the_carrier(c6),B) = D | -in(ordered_pair(C,D),f53(c6,A)). [resolve(1706,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) | -latt_str(B). [resolve(1706,a,1590,b)]. 65.55/65.75 1707 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,670,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | in(f99(c6,A),A) | relation(f102(c6,A)). [resolve(1707,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | relation(f102(B,A)) | -latt_str(B). [resolve(1707,a,1590,b)]. 65.55/65.75 1708 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,671,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | in(f99(c6,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1708,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1708,a,1590,b)]. 65.55/65.75 1709 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,672,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | in(f99(c6,A),A) | relation_dom(f102(c6,A)) = A. [resolve(1709,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1709,a,1590,b)]. 65.55/65.75 1710 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,673,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | in(f99(c6,A),A) | function(f102(c6,A)). [resolve(1710,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | function(f102(B,A)) | -latt_str(B). [resolve(1710,a,1590,b)]. 65.55/65.75 1711 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,674,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | relation(f102(c6,A)). [resolve(1711,a,1589,a)]. 65.55/65.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1711,a,1590,b)]. 65.55/65.77 1712 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,675,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f102(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1712,a,1589,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1712,a,1590,b)]. 65.55/65.77 1713 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,676,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1713,a,1589,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1713,a,1590,b)]. 65.55/65.77 1714 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(889,b,677,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | function(f102(c6,A)). [resolve(1714,a,1589,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1714,a,1590,b)]. 65.55/65.77 1715 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,678,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | relation(f102(c6,A)). [resolve(1715,a,1589,a)]. 65.55/65.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1715,a,1590,b)]. 65.55/65.77 1716 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,679,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f102(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1716,a,1589,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1716,a,1590,b)]. 65.55/65.78 1717 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,680,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1717,a,1589,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1717,a,1590,b)]. 65.55/65.78 1718 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(889,b,681,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | function(f102(c6,A)). [resolve(1718,a,1589,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1718,a,1590,b)]. 65.55/65.78 1719 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,682,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | f101(c6,A) != f100(c6,A) | relation(f102(c6,A)). [resolve(1719,a,1589,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1719,a,1590,b)]. 65.55/65.78 1720 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,683,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | f101(c6,A) != f100(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1720,a,1589,a)]. 65.55/65.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1720,a,1590,b)]. 65.55/65.78 1721 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,684,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | f101(c6,A) != f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1721,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1721,a,1590,b)]. 65.55/65.80 1722 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f98(A,B,C),powerset(the_carrier(A))) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,685,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f98(c6,A,B),powerset(the_carrier(c6))) | f101(c6,A) != f100(c6,A) | function(f102(c6,A)). [resolve(1722,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1722,a,1590,b)]. 65.55/65.80 1723 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,686,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | in(f99(c6,A),A) | relation(f102(c6,A)). [resolve(1723,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | relation(f102(B,A)) | -latt_str(B). [resolve(1723,a,1590,b)]. 65.55/65.80 1724 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,687,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | in(f99(c6,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1724,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1724,a,1590,b)]. 65.55/65.80 1725 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,688,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | in(f99(c6,A),A) | relation_dom(f102(c6,A)) = A. [resolve(1725,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1725,a,1590,b)]. 65.55/65.80 1726 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,689,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | in(f99(c6,A),A) | function(f102(c6,A)). [resolve(1726,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | function(f102(B,A)) | -latt_str(B). [resolve(1726,a,1590,b)]. 65.55/65.80 1727 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,690,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | relation(f102(c6,A)). [resolve(1727,a,1589,a)]. 65.55/65.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1727,a,1590,b)]. 65.55/65.80 1728 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,691,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f102(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1728,a,1589,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1728,a,1590,b)]. 65.66/65.82 1729 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,692,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1729,a,1589,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1729,a,1590,b)]. 65.66/65.82 1730 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(889,b,693,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | function(f102(c6,A)). [resolve(1730,a,1589,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1730,a,1590,b)]. 65.66/65.82 1731 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,694,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | relation(f102(c6,A)). [resolve(1731,a,1589,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1731,a,1590,b)]. 65.66/65.82 1732 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,695,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f102(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1732,a,1589,a)]. 65.66/65.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1732,a,1590,b)]. 65.66/65.83 1733 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,696,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1733,a,1589,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1733,a,1590,b)]. 65.66/65.83 1734 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(889,b,697,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | function(f102(c6,A)). [resolve(1734,a,1589,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1734,a,1590,b)]. 65.66/65.83 1735 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,698,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | f101(c6,A) != f100(c6,A) | relation(f102(c6,A)). [resolve(1735,a,1589,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1735,a,1590,b)]. 65.66/65.83 1736 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,699,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | f101(c6,A) != f100(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1736,a,1589,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1736,a,1590,b)]. 65.66/65.83 1737 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,700,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | f101(c6,A) != f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1737,a,1589,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1737,a,1590,b)]. 65.66/65.83 1738 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f98(A,B,C) = f97(A,B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,701,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f98(c6,A,B) = f97(c6,A) | f101(c6,A) != f100(c6,A) | function(f102(c6,A)). [resolve(1738,a,1589,a)]. 65.66/65.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1738,a,1590,b)]. 65.66/65.83 1739 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,702,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | in(f99(c6,A),A) | relation(f102(c6,A)). [resolve(1739,a,1589,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | relation(f102(B,A)) | -latt_str(B). [resolve(1739,a,1590,b)]. 65.66/65.85 1740 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,703,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | in(f99(c6,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1740,a,1589,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1740,a,1590,b)]. 65.66/65.85 1741 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,704,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | in(f99(c6,A),A) | relation_dom(f102(c6,A)) = A. [resolve(1741,a,1589,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1741,a,1590,b)]. 65.66/65.85 1742 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,705,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | in(f99(c6,A),A) | function(f102(c6,A)). [resolve(1742,a,1589,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | function(f102(B,A)) | -latt_str(B). [resolve(1742,a,1590,b)]. 65.66/65.85 1743 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,706,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | relation(f102(c6,A)). [resolve(1743,a,1589,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1743,a,1590,b)]. 65.66/65.85 1744 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,707,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f102(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1744,a,1589,a)]. 65.66/65.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1744,a,1590,b)]. 65.66/65.86 1745 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,708,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1745,a,1589,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1745,a,1590,b)]. 65.66/65.86 1746 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f100(A,B) | function(f102(A,B)). [resolve(889,b,709,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f100(c6,A) | function(f102(c6,A)). [resolve(1746,a,1589,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1746,a,1590,b)]. 65.66/65.86 1747 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,710,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | relation(f102(c6,A)). [resolve(1747,a,1589,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1747,a,1590,b)]. 65.66/65.86 1748 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f102(A,B),E) = subset_complement(the_carrier(A),F). [resolve(889,b,711,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f102(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1748,a,1589,a)]. 65.66/65.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1748,a,1590,b)]. 65.66/65.86 1749 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,712,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1749,a,1589,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1749,a,1590,b)]. 65.66/65.88 1750 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | -element(D,powerset(the_carrier(A))) | D != f99(A,B) | subset_complement(the_carrier(A),D) = f101(A,B) | function(f102(A,B)). [resolve(889,b,713,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f99(c6,A) | subset_complement(the_carrier(c6),C) = f101(c6,A) | function(f102(c6,A)). [resolve(1750,a,1589,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1750,a,1590,b)]. 65.66/65.88 1751 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,714,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | f101(c6,A) != f100(c6,A) | relation(f102(c6,A)). [resolve(1751,a,1589,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1751,a,1590,b)]. 65.66/65.88 1752 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,715,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | f101(c6,A) != f100(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1752,a,1589,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1752,a,1590,b)]. 65.66/65.88 1753 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,716,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | f101(c6,A) != f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1753,a,1589,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1753,a,1590,b)]. 65.66/65.88 1754 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | subset_complement(the_carrier(A),f98(A,B,C)) != C | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,717,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f98(c6,A,B)) != B | f101(c6,A) != f100(c6,A) | function(f102(c6,A)). [resolve(1754,a,1589,a)]. 65.66/65.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1754,a,1590,b)]. 65.75/65.90 1755 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation(f102(A,B)). [resolve(889,b,718,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | in(f99(c6,A),A) | relation(f102(c6,A)). [resolve(1755,a,1589,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | relation(f102(B,A)) | -latt_str(B). [resolve(1755,a,1590,b)]. 65.75/65.90 1756 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(889,b,719,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | in(f99(c6,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f102(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(1756,a,1589,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f102(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1756,a,1590,b)]. 65.75/65.90 1757 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | relation_dom(f102(A,B)) = B. [resolve(889,b,720,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | in(f99(c6,A),A) | relation_dom(f102(c6,A)) = A. [resolve(1757,a,1589,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1757,a,1590,b)]. 65.75/65.90 1758 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | in(f99(A,B),B) | function(f102(A,B)). [resolve(889,b,721,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | in(f99(c6,A),A) | function(f102(c6,A)). [resolve(1758,a,1589,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | function(f102(B,A)) | -latt_str(B). [resolve(1758,a,1590,b)]. 65.75/65.90 1759 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation(f102(A,B)). [resolve(889,b,722,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f100(c6,A) | relation(f102(c6,A)). [resolve(1759,a,1589,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1759,a,1590,b)]. 65.75/65.90 1760 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,723,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f100(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1760,a,1589,a)]. 65.75/65.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1760,a,1590,b)]. 65.75/65.90 1761 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,724,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1761,a,1589,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1761,a,1590,b)]. 65.75/65.92 1762 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f100(A,B) | function(f102(A,B)). [resolve(889,b,725,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f100(c6,A) | function(f102(c6,A)). [resolve(1762,a,1589,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1762,a,1590,b)]. 65.75/65.92 1763 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation(f102(A,B)). [resolve(889,b,726,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f101(c6,A) | relation(f102(c6,A)). [resolve(1763,a,1589,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1763,a,1590,b)]. 65.75/65.92 1764 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f102(A,B),D) = subset_complement(the_carrier(A),E). [resolve(889,b,727,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f101(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f102(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1764,a,1589,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1764,a,1590,b)]. 65.75/65.92 1765 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,728,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f101(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1765,a,1589,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1765,a,1590,b)]. 65.75/65.92 1766 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f99(A,B) | subset_complement(the_carrier(A),C) = f101(A,B) | function(f102(A,B)). [resolve(889,b,729,a)]. 65.75/65.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f99(c6,A) | subset_complement(the_carrier(c6),B) = f101(c6,A) | function(f102(c6,A)). [resolve(1766,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1766,a,1590,b)]. 65.75/65.93 1767 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation(f102(A,B)). [resolve(889,b,730,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | f101(c6,A) != f100(c6,A) | relation(f102(c6,A)). [resolve(1767,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -latt_str(B). [resolve(1767,a,1590,b)]. 65.75/65.93 1768 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f102(A,B),C) = subset_complement(the_carrier(A),D). [resolve(889,b,731,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | f101(c6,A) != f100(c6,A) | -in(B,A) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f102(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(1768,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f102(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1768,a,1590,b)]. 65.75/65.93 1769 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | relation_dom(f102(A,B)) = B. [resolve(889,b,732,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | f101(c6,A) != f100(c6,A) | relation_dom(f102(c6,A)) = A. [resolve(1769,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -latt_str(B). [resolve(1769,a,1590,b)]. 65.75/65.93 1770 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f97(A,B),B) | f101(A,B) != f100(A,B) | function(f102(A,B)). [resolve(889,b,733,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f97(c6,A),A) | f101(c6,A) != f100(c6,A) | function(f102(c6,A)). [resolve(1770,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -latt_str(B). [resolve(1770,a,1590,b)]. 65.75/65.93 1771 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(889,b,734,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -is_a_cover_of_carrier(c6,A) | union_of_subsets(the_carrier(c6),A) = cast_as_carrier_subset(c6). [resolve(1771,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -latt_str(B). [resolve(1771,a,1590,b)]. 65.75/65.93 1772 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(889,b,735,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | is_a_cover_of_carrier(c6,A) | union_of_subsets(the_carrier(c6),A) != cast_as_carrier_subset(c6). [resolve(1772,a,1589,a)]. 65.75/65.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -latt_str(B). [resolve(1772,a,1590,b)]. 65.75/65.93 1773 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,736,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f108(c6,A) | element(f111(c6,A,C,D),powerset(the_carrier(c6))) | -in(D,A) | in(C,f110(c6,A)). [resolve(1773,a,1589,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | element(f111(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f110(B,A)) | -latt_str(B). [resolve(1773,a,1590,b)]. 65.75/65.95 1774 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,737,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f108(c6,A) | f111(c6,A,C,D) = D | -in(D,A) | in(C,f110(c6,A)). [resolve(1774,a,1589,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | f111(B,A,D,E) = E | -in(E,A) | in(D,f110(B,A)) | -latt_str(B). [resolve(1774,a,1590,b)]. 65.75/65.95 1775 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,738,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f108(c6,A) | subset_complement(the_carrier(c6),f111(c6,A,C,D)) != C | -in(D,A) | in(C,f110(c6,A)). [resolve(1775,a,1589,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | subset_complement(the_carrier(B),f111(B,A,D,E)) != D | -in(E,A) | in(D,f110(B,A)) | -latt_str(B). [resolve(1775,a,1590,b)]. 65.75/65.95 1776 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(889,b,739,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f108(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f112(c6,A,D) | subset_complement(the_carrier(c6),C) = D | -in(D,f110(c6,A)). [resolve(1776,a,1589,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | -element(D,powerset(the_carrier(B))) | D != f112(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f110(B,A)) | -latt_str(B). [resolve(1776,a,1590,b)]. 65.75/65.95 1777 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f108(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(889,b,740,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f108(c6,A) | in(f112(c6,A,C),A) | -in(C,f110(c6,A)). [resolve(1777,a,1589,a)]. 65.75/65.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | in(f112(B,A,D),A) | -in(D,f110(B,A)) | -latt_str(B). [resolve(1777,a,1590,b)]. 65.75/65.95 1778 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | element(f111(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,741,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f109(c6,A) | element(f111(c6,A,C,D),powerset(the_carrier(c6))) | -in(D,A) | in(C,f110(c6,A)). [resolve(1778,a,1589,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | element(f111(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f110(B,A)) | -latt_str(B). [resolve(1778,a,1590,b)]. 65.75/65.96 1779 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | f111(A,B,D,E) = E | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,742,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f109(c6,A) | f111(c6,A,C,D) = D | -in(D,A) | in(C,f110(c6,A)). [resolve(1779,a,1589,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | f111(B,A,D,E) = E | -in(E,A) | in(D,f110(B,A)) | -latt_str(B). [resolve(1779,a,1590,b)]. 65.75/65.96 1780 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | subset_complement(the_carrier(A),f111(A,B,D,E)) != D | -in(E,B) | in(D,f110(A,B)). [resolve(889,b,743,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f109(c6,A) | subset_complement(the_carrier(c6),f111(c6,A,C,D)) != C | -in(D,A) | in(C,f110(c6,A)). [resolve(1780,a,1589,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | subset_complement(the_carrier(B),f111(B,A,D,E)) != D | -in(E,A) | in(D,f110(B,A)) | -latt_str(B). [resolve(1780,a,1590,b)]. 65.75/65.96 1781 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | -element(D,powerset(the_carrier(A))) | D != f112(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f110(A,B)). [resolve(889,b,744,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f109(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f112(c6,A,D) | subset_complement(the_carrier(c6),C) = D | -in(D,f110(c6,A)). [resolve(1781,a,1589,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | -element(D,powerset(the_carrier(B))) | D != f112(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f110(B,A)) | -latt_str(B). [resolve(1781,a,1590,b)]. 65.75/65.96 1782 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f107(A,B) | subset_complement(the_carrier(A),C) = f109(A,B) | in(f112(A,B,D),B) | -in(D,f110(A,B)). [resolve(889,b,745,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f107(c6,A) | subset_complement(the_carrier(c6),B) = f109(c6,A) | in(f112(c6,A,C),A) | -in(C,f110(c6,A)). [resolve(1782,a,1589,a)]. 65.75/65.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | in(f112(B,A,D),A) | -in(D,f110(B,A)) | -latt_str(B). [resolve(1782,a,1590,b)]. 65.75/65.96 1783 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,746,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f107(c6,A),A) | element(f111(c6,A,B,C),powerset(the_carrier(c6))) | -in(C,A) | in(B,f110(c6,A)). [resolve(1783,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | element(f111(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f110(B,A)) | -latt_str(B). [resolve(1783,a,1590,b)]. 65.75/65.99 1784 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,747,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f107(c6,A),A) | f111(c6,A,B,C) = C | -in(C,A) | in(B,f110(c6,A)). [resolve(1784,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | f111(B,A,C,D) = D | -in(D,A) | in(C,f110(B,A)) | -latt_str(B). [resolve(1784,a,1590,b)]. 65.75/65.99 1785 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,748,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f107(c6,A),A) | subset_complement(the_carrier(c6),f111(c6,A,B,C)) != B | -in(C,A) | in(B,f110(c6,A)). [resolve(1785,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | subset_complement(the_carrier(B),f111(B,A,C,D)) != C | -in(D,A) | in(C,f110(B,A)) | -latt_str(B). [resolve(1785,a,1590,b)]. 65.75/65.99 1786 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(889,b,749,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f107(c6,A),A) | -element(B,powerset(the_carrier(c6))) | B != f112(c6,A,C) | subset_complement(the_carrier(c6),B) = C | -in(C,f110(c6,A)). [resolve(1786,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f112(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f110(B,A)) | -latt_str(B). [resolve(1786,a,1590,b)]. 65.75/65.99 1787 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f107(A,B),B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(889,b,750,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f107(c6,A),A) | in(f112(c6,A,B),A) | -in(B,f110(c6,A)). [resolve(1787,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | in(f112(B,A,C),A) | -in(C,f110(B,A)) | -latt_str(B). [resolve(1787,a,1590,b)]. 65.75/65.99 1788 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | element(f111(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,751,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f109(c6,A) != f108(c6,A) | element(f111(c6,A,B,C),powerset(the_carrier(c6))) | -in(C,A) | in(B,f110(c6,A)). [resolve(1788,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | element(f111(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f110(B,A)) | -latt_str(B). [resolve(1788,a,1590,b)]. 65.75/65.99 1789 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | f111(A,B,C,D) = D | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,752,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f109(c6,A) != f108(c6,A) | f111(c6,A,B,C) = C | -in(C,A) | in(B,f110(c6,A)). [resolve(1789,a,1589,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | f111(B,A,C,D) = D | -in(D,A) | in(C,f110(B,A)) | -latt_str(B). [resolve(1789,a,1590,b)]. 65.75/65.99 1790 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | subset_complement(the_carrier(A),f111(A,B,C,D)) != C | -in(D,B) | in(C,f110(A,B)). [resolve(889,b,753,a)]. 65.75/65.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f109(c6,A) != f108(c6,A) | subset_complement(the_carrier(c6),f111(c6,A,B,C)) != B | -in(C,A) | in(B,f110(c6,A)). [resolve(1790,a,1589,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | subset_complement(the_carrier(B),f111(B,A,C,D)) != C | -in(D,A) | in(C,f110(B,A)) | -latt_str(B). [resolve(1790,a,1590,b)]. 65.85/66.00 1791 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | -element(C,powerset(the_carrier(A))) | C != f112(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f110(A,B)). [resolve(889,b,754,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f109(c6,A) != f108(c6,A) | -element(B,powerset(the_carrier(c6))) | B != f112(c6,A,C) | subset_complement(the_carrier(c6),B) = C | -in(C,f110(c6,A)). [resolve(1791,a,1589,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | -element(C,powerset(the_carrier(B))) | C != f112(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f110(B,A)) | -latt_str(B). [resolve(1791,a,1590,b)]. 65.85/66.00 1792 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f109(A,B) != f108(A,B) | in(f112(A,B,C),B) | -in(C,f110(A,B)). [resolve(889,b,755,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f109(c6,A) != f108(c6,A) | in(f112(c6,A,B),A) | -in(B,f110(c6,A)). [resolve(1792,a,1589,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | in(f112(B,A,C),A) | -in(C,f110(B,A)) | -latt_str(B). [resolve(1792,a,1590,b)]. 65.85/66.00 1793 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(889,b,758,b)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f130(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | element(f134(c6,A,C,B),powerset(the_carrier(c6))) | in(C,f133(c6,A)). [resolve(1793,a,1589,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -latt_str(B). [resolve(1793,a,1590,b)]. 65.85/66.00 1794 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(889,b,759,b)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f130(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | f134(c6,A,C,B) = B | in(C,f133(c6,A)). [resolve(1794,a,1589,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -latt_str(B). [resolve(1794,a,1590,b)]. 65.85/66.00 1795 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(889,b,760,b)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f130(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f134(c6,A,C,B)) != C | in(C,f133(c6,A)). [resolve(1795,a,1589,a)]. 65.85/66.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -latt_str(B). [resolve(1795,a,1590,b)]. 65.85/66.00 1796 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(889,b,761,b)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f130(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f135(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(B,f133(c6,A)). [resolve(1796,a,1589,a)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -latt_str(B). [resolve(1796,a,1590,b)]. 65.86/66.02 1797 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f130(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(889,b,762,b)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f130(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f135(c6,A,C) | subset_complement(the_carrier(c6),B) = C | -in(C,f133(c6,A)). [resolve(1797,a,1589,a)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -latt_str(B). [resolve(1797,a,1590,b)]. 65.86/66.02 1798 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(889,b,763,b)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f132(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | element(f134(c6,A,D,C),powerset(the_carrier(c6))) | in(D,f133(c6,A)). [resolve(1798,a,1589,a)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -latt_str(B). [resolve(1798,a,1590,b)]. 65.86/66.02 1799 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(889,b,764,b)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f132(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | f134(c6,A,D,C) = C | in(D,f133(c6,A)). [resolve(1799,a,1589,a)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -latt_str(B). [resolve(1799,a,1590,b)]. 65.86/66.02 1800 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(889,b,765,b)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f132(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f134(c6,A,D,C)) != D | in(D,f133(c6,A)). [resolve(1800,a,1589,a)]. 65.86/66.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -latt_str(B). [resolve(1800,a,1590,b)]. 65.86/66.03 1801 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(889,b,766,b)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f132(c6,A) | in(f135(c6,A,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f133(c6,A)). [resolve(1801,a,1589,a)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -latt_str(B). [resolve(1801,a,1590,b)]. 65.86/66.03 1802 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f132(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(889,b,767,b)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f132(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f135(c6,A,D) | subset_complement(the_carrier(c6),C) = D | -in(D,f133(c6,A)). [resolve(1802,a,1589,a)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -latt_str(B). [resolve(1802,a,1590,b)]. 65.86/66.03 1803 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,E,D),powerset(the_carrier(A))) | in(E,f133(A,B)). [resolve(889,b,768,b)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f131(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | element(f134(c6,A,D,C),powerset(the_carrier(c6))) | in(D,f133(c6,A)). [resolve(1803,a,1589,a)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -latt_str(B). [resolve(1803,a,1590,b)]. 65.86/66.03 1804 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | f134(A,B,E,D) = D | in(E,f133(A,B)). [resolve(889,b,769,b)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f131(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | f134(c6,A,D,C) = C | in(D,f133(c6,A)). [resolve(1804,a,1589,a)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -latt_str(B). [resolve(1804,a,1590,b)]. 65.86/66.03 1805 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,E,D)) != E | in(E,f133(A,B)). [resolve(889,b,770,b)]. 65.86/66.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f131(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f134(c6,A,D,C)) != D | in(D,f133(c6,A)). [resolve(1805,a,1589,a)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -latt_str(B). [resolve(1805,a,1590,b)]. 65.86/66.05 1806 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | in(f135(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f133(A,B)). [resolve(889,b,771,b)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f131(c6,A) | in(f135(c6,A,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f133(c6,A)). [resolve(1806,a,1589,a)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -latt_str(B). [resolve(1806,a,1590,b)]. 65.86/66.05 1807 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f130(A,B) | subset_complement(the_carrier(A),C) = f131(A,B) | -element(D,powerset(the_carrier(A))) | D != f135(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f133(A,B)). [resolve(889,b,772,b)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f130(c6,A) | subset_complement(the_carrier(c6),B) = f131(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f135(c6,A,D) | subset_complement(the_carrier(c6),C) = D | -in(D,f133(c6,A)). [resolve(1807,a,1589,a)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -latt_str(B). [resolve(1807,a,1590,b)]. 65.86/66.05 1808 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f134(A,B,D,C),powerset(the_carrier(A))) | in(D,f133(A,B)). [resolve(889,b,773,b)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f132(c6,A) != f131(c6,A) | -in(B,complements_of_subsets(the_carrier(c6),A)) | element(f134(c6,A,C,B),powerset(the_carrier(c6))) | in(C,f133(c6,A)). [resolve(1808,a,1589,a)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -latt_str(B). [resolve(1808,a,1590,b)]. 65.86/66.05 1809 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | f134(A,B,D,C) = C | in(D,f133(A,B)). [resolve(889,b,774,b)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f132(c6,A) != f131(c6,A) | -in(B,complements_of_subsets(the_carrier(c6),A)) | f134(c6,A,C,B) = B | in(C,f133(c6,A)). [resolve(1809,a,1589,a)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -latt_str(B). [resolve(1809,a,1590,b)]. 65.86/66.05 1810 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f134(A,B,D,C)) != D | in(D,f133(A,B)). [resolve(889,b,775,b)]. 65.86/66.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f132(c6,A) != f131(c6,A) | -in(B,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f134(c6,A,C,B)) != C | in(C,f133(c6,A)). [resolve(1810,a,1589,a)]. 65.86/66.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -latt_str(B). [resolve(1810,a,1590,b)]. 65.86/66.07 1811 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | in(f135(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f133(A,B)). [resolve(889,b,776,b)]. 65.86/66.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f132(c6,A) != f131(c6,A) | in(f135(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(B,f133(c6,A)). [resolve(1811,a,1589,a)]. 65.86/66.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -latt_str(B). [resolve(1811,a,1590,b)]. 65.86/66.07 1812 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f132(A,B) != f131(A,B) | -element(C,powerset(the_carrier(A))) | C != f135(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f133(A,B)). [resolve(889,b,777,b)]. 65.86/66.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f132(c6,A) != f131(c6,A) | -element(B,powerset(the_carrier(c6))) | B != f135(c6,A,C) | subset_complement(the_carrier(c6),B) = C | -in(C,f133(c6,A)). [resolve(1812,a,1589,a)]. 65.86/66.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -latt_str(B). [resolve(1812,a,1590,b)]. 65.86/66.07 1813 -meet_semilatt_str(A) | v3_membered(empty_carrier_subset(A)). [resolve(889,b,778,a)]. 65.86/66.07 Derived: v3_membered(empty_carrier_subset(c6)). [resolve(1813,a,1589,a)]. 65.86/66.07 Derived: v3_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1813,a,1590,b)]. 65.86/66.07 1814 -meet_semilatt_str(A) | v4_membered(empty_carrier_subset(A)). [resolve(889,b,779,a)]. 65.86/66.07 Derived: v4_membered(empty_carrier_subset(c6)). [resolve(1814,a,1589,a)]. 65.86/66.07 Derived: v4_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1814,a,1590,b)]. 65.86/66.07 1815 -meet_semilatt_str(A) | v5_membered(empty_carrier_subset(A)). [resolve(889,b,780,a)]. 65.86/66.07 Derived: v5_membered(empty_carrier_subset(c6)). [resolve(1815,a,1589,a)]. 65.86/66.07 Derived: v5_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1815,a,1590,b)]. 65.86/66.07 1816 -meet_semilatt_str(A) | v2_membered(empty_carrier_subset(A)). [resolve(889,b,781,a)]. 65.86/66.07 Derived: v2_membered(empty_carrier_subset(c6)). [resolve(1816,a,1589,a)]. 65.86/66.07 Derived: v2_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1816,a,1590,b)]. 65.86/66.07 1817 -meet_semilatt_str(A) | v1_membered(empty_carrier_subset(A)). [resolve(889,b,782,a)]. 65.86/66.07 Derived: v1_membered(empty_carrier_subset(c6)). [resolve(1817,a,1589,a)]. 65.86/66.07 Derived: v1_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1817,a,1590,b)]. 65.86/66.07 1818 -meet_semilatt_str(A) | empty(empty_carrier_subset(A)). [resolve(889,b,783,a)]. 65.86/66.07 Derived: empty(empty_carrier_subset(c6)). [resolve(1818,a,1589,a)]. 65.86/66.07 Derived: empty(empty_carrier_subset(A)) | -latt_str(A). [resolve(1818,a,1590,b)]. 65.86/66.07 1819 -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B. [resolve(889,b,784,a)]. 65.86/66.07 Derived: -element(A,powerset(the_carrier(c6))) | subset_intersection2(the_carrier(c6),A,cast_as_carrier_subset(c6)) = A. [resolve(1819,a,1589,a)]. 65.86/66.07 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -latt_str(B). [resolve(1819,a,1590,b)]. 65.86/66.07 1820 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,785,a)]. 65.86/66.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1820,a,1589,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1820,a,1590,b)]. 65.86/66.08 1821 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,786,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1821,a,1589,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1821,a,1590,b)]. 65.86/66.08 1822 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,787,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1822,a,1589,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1822,a,1590,b)]. 65.86/66.08 1823 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,788,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1823,a,1589,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1823,a,1590,b)]. 65.86/66.08 1824 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,789,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1824,a,1589,a)]. 65.86/66.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1824,a,1590,b)]. 65.86/66.08 1825 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,790,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1825,a,1589,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1825,a,1590,b)]. 65.86/66.09 1826 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,791,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1826,a,1589,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1826,a,1590,b)]. 65.86/66.09 1827 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f166(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,792,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f166(c6,A,B) = f165(c6,A,B) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1827,a,1589,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1827,a,1590,b)]. 65.86/66.09 1828 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,793,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1828,a,1589,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1828,a,1590,b)]. 65.86/66.09 1829 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,794,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1829,a,1589,a)]. 65.86/66.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1829,a,1590,b)]. 65.86/66.09 1830 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,795,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1830,a,1589,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1830,a,1590,b)]. 65.96/66.11 1831 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,796,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1831,a,1589,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1831,a,1590,b)]. 65.96/66.11 1832 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,797,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1832,a,1589,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1832,a,1590,b)]. 65.96/66.11 1833 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,798,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1833,a,1589,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1833,a,1590,b)]. 65.96/66.11 1834 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,799,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1834,a,1589,a)]. 65.96/66.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1834,a,1590,b)]. 65.96/66.12 1835 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f168(A,B,C),f169(A,B,C)) = f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,800,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f168(c6,A,B),f169(c6,A,B)) = f166(c6,A,B) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1835,a,1589,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1835,a,1590,b)]. 65.96/66.12 1836 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,801,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | ordered_pair(E,F) != V6 | element(f173(c6,A,C,V6,D,E,F),powerset(the_carrier(c6))) | -in(E,complements_of_subsets(the_carrier(c6),A)) | D != V6 | in(V6,f172(c6,A,C)). [resolve(1836,a,1589,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -latt_str(B). [resolve(1836,a,1590,b)]. 65.96/66.12 1837 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,802,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | ordered_pair(E,F) != V6 | f173(c6,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c6),A)) | D != V6 | in(V6,f172(c6,A,C)). [resolve(1837,a,1589,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -latt_str(B). [resolve(1837,a,1590,b)]. 65.96/66.12 1838 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,803,a)]. 65.96/66.12 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c6),f173(c6,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c6),A)) | D != V6 | in(V6,f172(c6,A,C)). [resolve(1838,a,1589,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -latt_str(B). [resolve(1838,a,1590,b)]. 65.96/66.13 1839 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(889,b,804,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | in(f174(c6,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | -in(D,f172(c6,A,C)). [resolve(1839,a,1589,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1839,a,1590,b)]. 65.96/66.13 1840 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(889,b,805,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | ordered_pair(f175(c6,A,C,D),f176(c6,A,C,D)) = D | -in(D,f172(c6,A,C)). [resolve(1840,a,1589,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1840,a,1590,b)]. 65.96/66.13 1841 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(889,b,806,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | -element(D,powerset(the_carrier(c6))) | D != f175(c6,A,C,E) | subset_complement(the_carrier(c6),D) = f176(c6,A,C,E) | -in(E,f172(c6,A,C)). [resolve(1841,a,1589,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -latt_str(B). [resolve(1841,a,1590,b)]. 65.96/66.13 1842 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(889,b,807,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | in(f175(c6,A,C,D),complements_of_subsets(the_carrier(c6),A)) | -in(D,f172(c6,A,C)). [resolve(1842,a,1589,a)]. 65.96/66.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1842,a,1590,b)]. 65.96/66.14 1843 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f168(A,B,D) | subset_complement(the_carrier(A),C) = f169(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(889,b,808,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f168(c6,A,C) | subset_complement(the_carrier(c6),B) = f169(c6,A,C) | f174(c6,A,C,D) = D | -in(D,f172(c6,A,C)). [resolve(1843,a,1589,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1843,a,1590,b)]. 65.96/66.14 1844 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,809,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1844,a,1589,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1844,a,1590,b)]. 65.96/66.14 1845 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,810,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1845,a,1589,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1845,a,1590,b)]. 65.96/66.14 1846 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,811,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1846,a,1589,a)]. 65.96/66.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1846,a,1590,b)]. 65.96/66.16 1847 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,812,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1847,a,1589,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1847,a,1590,b)]. 65.96/66.16 1848 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,813,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1848,a,1589,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1848,a,1590,b)]. 65.96/66.16 1849 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,814,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1849,a,1589,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1849,a,1590,b)]. 65.96/66.16 1850 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,815,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1850,a,1589,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1850,a,1590,b)]. 65.96/66.16 1851 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f168(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,816,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f168(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1851,a,1589,a)]. 65.96/66.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1851,a,1590,b)]. 65.96/66.16 1852 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,817,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1852,a,1589,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1852,a,1590,b)]. 65.96/66.17 1853 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,818,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1853,a,1589,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1853,a,1590,b)]. 65.96/66.17 1854 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,819,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1854,a,1589,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1854,a,1590,b)]. 65.96/66.17 1855 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,820,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1855,a,1589,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1855,a,1590,b)]. 65.96/66.17 1856 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,821,a)]. 65.96/66.17 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1856,a,1589,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1856,a,1590,b)]. 65.96/66.18 1857 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,822,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1857,a,1589,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1857,a,1590,b)]. 65.96/66.18 1858 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,823,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1858,a,1589,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1858,a,1590,b)]. 65.96/66.18 1859 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f170(A,B,C),f171(A,B,C)) = f167(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,824,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f170(c6,A,B),f171(c6,A,B)) = f167(c6,A,B) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1859,a,1589,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1859,a,1590,b)]. 65.96/66.18 1860 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | element(f173(A,B,D,V7,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,825,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | ordered_pair(E,F) != V6 | element(f173(c6,A,C,V6,D,E,F),powerset(the_carrier(c6))) | -in(E,complements_of_subsets(the_carrier(c6),A)) | D != V6 | in(V6,f172(c6,A,C)). [resolve(1860,a,1589,a)]. 65.96/66.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -latt_str(B). [resolve(1860,a,1590,b)]. 65.96/66.18 1861 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | f173(A,B,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,826,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | ordered_pair(E,F) != V6 | f173(c6,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c6),A)) | D != V6 | in(V6,f172(c6,A,C)). [resolve(1861,a,1589,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -latt_str(B). [resolve(1861,a,1590,b)]. 66.06/66.19 1862 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(A),f173(A,B,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | E != V7 | in(V7,f172(A,B,D)). [resolve(889,b,827,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c6),f173(c6,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c6),A)) | D != V6 | in(V6,f172(c6,A,C)). [resolve(1862,a,1589,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -latt_str(B). [resolve(1862,a,1590,b)]. 66.06/66.19 1863 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f174(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(E,f172(A,B,D)). [resolve(889,b,828,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | in(f174(c6,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | -in(D,f172(c6,A,C)). [resolve(1863,a,1589,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1863,a,1590,b)]. 66.06/66.19 1864 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | ordered_pair(f175(A,B,D,E),f176(A,B,D,E)) = E | -in(E,f172(A,B,D)). [resolve(889,b,829,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | ordered_pair(f175(c6,A,C,D),f176(c6,A,C,D)) = D | -in(D,f172(c6,A,C)). [resolve(1864,a,1589,a)]. 66.06/66.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1864,a,1590,b)]. 66.06/66.21 1865 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f175(A,B,D,F) | subset_complement(the_carrier(A),E) = f176(A,B,D,F) | -in(F,f172(A,B,D)). [resolve(889,b,830,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | -element(D,powerset(the_carrier(c6))) | D != f175(c6,A,C,E) | subset_complement(the_carrier(c6),D) = f176(c6,A,C,E) | -in(E,f172(c6,A,C)). [resolve(1865,a,1589,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -latt_str(B). [resolve(1865,a,1590,b)]. 66.06/66.21 1866 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | in(f175(A,B,D,E),complements_of_subsets(the_carrier(A),B)) | -in(E,f172(A,B,D)). [resolve(889,b,831,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | in(f175(c6,A,C,D),complements_of_subsets(the_carrier(c6),A)) | -in(D,f172(c6,A,C)). [resolve(1866,a,1589,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1866,a,1590,b)]. 66.06/66.21 1867 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f170(A,B,D) | subset_complement(the_carrier(A),C) = f171(A,B,D) | f174(A,B,D,E) = E | -in(E,f172(A,B,D)). [resolve(889,b,832,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f170(c6,A,C) | subset_complement(the_carrier(c6),B) = f171(c6,A,C) | f174(c6,A,C,D) = D | -in(D,f172(c6,A,C)). [resolve(1867,a,1589,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -latt_str(B). [resolve(1867,a,1590,b)]. 66.06/66.21 1868 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,833,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1868,a,1589,a)]. 66.06/66.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1868,a,1590,b)]. 66.06/66.21 1869 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,834,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1869,a,1589,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1869,a,1590,b)]. 66.06/66.22 1870 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,835,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1870,a,1589,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1870,a,1590,b)]. 66.06/66.22 1871 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,836,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1871,a,1589,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1871,a,1590,b)]. 66.06/66.22 1872 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,837,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1872,a,1589,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1872,a,1590,b)]. 66.06/66.22 1873 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,838,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1873,a,1589,a)]. 66.06/66.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1873,a,1590,b)]. 66.06/66.23 1874 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,839,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1874,a,1589,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1874,a,1590,b)]. 66.06/66.23 1875 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f170(A,B,C),complements_of_subsets(the_carrier(A),B)) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,840,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f170(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1875,a,1589,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1875,a,1590,b)]. 66.06/66.23 1876 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,841,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1876,a,1589,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1876,a,1590,b)]. 66.06/66.23 1877 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,842,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1877,a,1589,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1877,a,1590,b)]. 66.06/66.23 1878 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,843,a)]. 66.06/66.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1878,a,1589,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1878,a,1590,b)]. 66.06/66.25 1879 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,844,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1879,a,1589,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1879,a,1590,b)]. 66.06/66.25 1880 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,845,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1880,a,1589,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1880,a,1590,b)]. 66.06/66.25 1881 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,846,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1881,a,1589,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1881,a,1590,b)]. 66.06/66.25 1882 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,847,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1882,a,1589,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1882,a,1590,b)]. 66.06/66.25 1883 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) = f165(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,848,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) = f165(c6,A,B) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1883,a,1589,a)]. 66.06/66.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1883,a,1590,b)]. 66.06/66.25 1884 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | element(f173(A,B,C,V6,D,E,F),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,849,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | element(f173(c6,A,B,F,C,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1884,a,1589,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1884,a,1590,b)]. 66.06/66.26 1885 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | f173(A,B,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,850,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | f173(c6,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1885,a,1589,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1885,a,1590,b)]. 66.06/66.26 1886 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(A),f173(A,B,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(A),B)) | D != V6 | in(V6,f172(A,B,C)). [resolve(889,b,851,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c6),f173(c6,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | C != F | in(F,f172(c6,A,B)). [resolve(1886,a,1589,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -latt_str(B). [resolve(1886,a,1590,b)]. 66.06/66.26 1887 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f174(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | -in(D,f172(A,B,C)). [resolve(889,b,852,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | in(f174(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)) | -in(C,f172(c6,A,B)). [resolve(1887,a,1589,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1887,a,1590,b)]. 66.06/66.26 1888 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | ordered_pair(f175(A,B,C,D),f176(A,B,C,D)) = D | -in(D,f172(A,B,C)). [resolve(889,b,853,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | ordered_pair(f175(c6,A,B,C),f176(c6,A,B,C)) = C | -in(C,f172(c6,A,B)). [resolve(1888,a,1589,a)]. 66.06/66.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1888,a,1590,b)]. 66.06/66.28 1889 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f175(A,B,C,E) | subset_complement(the_carrier(A),D) = f176(A,B,C,E) | -in(E,f172(A,B,C)). [resolve(889,b,854,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | -element(C,powerset(the_carrier(c6))) | C != f175(c6,A,B,D) | subset_complement(the_carrier(c6),C) = f176(c6,A,B,D) | -in(D,f172(c6,A,B)). [resolve(1889,a,1589,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -latt_str(B). [resolve(1889,a,1590,b)]. 66.06/66.28 1890 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | in(f175(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f172(A,B,C)). [resolve(889,b,855,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | in(f175(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f172(c6,A,B)). [resolve(1890,a,1589,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1890,a,1590,b)]. 66.06/66.28 1891 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f167(A,B,C) != f166(A,B,C) | f174(A,B,C,D) = D | -in(D,f172(A,B,C)). [resolve(889,b,856,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f167(c6,A,B) != f166(c6,A,B) | f174(c6,A,B,C) = C | -in(C,f172(c6,A,B)). [resolve(1891,a,1589,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -latt_str(B). [resolve(1891,a,1590,b)]. 66.06/66.28 1892 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | relation(f202(A,B)). [resolve(889,b,857,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | relation(f202(c6,A)). [resolve(1892,a,1589,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | relation(f202(B,A)) | -latt_str(B). [resolve(1892,a,1590,b)]. 66.06/66.28 1893 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,858,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | -in(ordered_pair(C,D),f202(c6,A)) | in(C,complements_of_subsets(the_carrier(c6),A)). [resolve(1893,a,1589,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1893,a,1590,b)]. 66.06/66.28 1894 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(889,b,859,a)]. 66.06/66.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | -in(ordered_pair(C,D),f202(c6,A)) | -element(E,powerset(the_carrier(c6))) | E != C | subset_complement(the_carrier(c6),E) = D. [resolve(1894,a,1589,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1894,a,1590,b)]. 66.06/66.29 1895 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(889,b,860,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | in(ordered_pair(C,D),f202(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | element(f203(c6,A,C,D),powerset(the_carrier(c6))). [resolve(1895,a,1589,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1895,a,1590,b)]. 66.06/66.29 1896 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(889,b,861,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | in(ordered_pair(C,D),f202(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | f203(c6,A,C,D) = C. [resolve(1896,a,1589,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -latt_str(B). [resolve(1896,a,1590,b)]. 66.06/66.29 1897 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(889,b,862,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | in(ordered_pair(C,D),f202(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f203(c6,A,C,D)) != D. [resolve(1897,a,1589,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -latt_str(B). [resolve(1897,a,1590,b)]. 66.06/66.29 1898 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f200(A,B) | function(f202(A,B)). [resolve(889,b,863,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f200(c6,A) | function(f202(c6,A)). [resolve(1898,a,1589,a)]. 66.06/66.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | function(f202(B,A)) | -latt_str(B). [resolve(1898,a,1590,b)]. 66.06/66.29 1899 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | relation(f202(A,B)). [resolve(889,b,864,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | relation(f202(c6,A)). [resolve(1899,a,1589,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | relation(f202(B,A)) | -latt_str(B). [resolve(1899,a,1590,b)]. 66.19/66.31 1900 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,865,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | -in(ordered_pair(C,D),f202(c6,A)) | in(C,complements_of_subsets(the_carrier(c6),A)). [resolve(1900,a,1589,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1900,a,1590,b)]. 66.19/66.31 1901 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | -in(ordered_pair(D,E),f202(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(889,b,866,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | -in(ordered_pair(C,D),f202(c6,A)) | -element(E,powerset(the_carrier(c6))) | E != C | subset_complement(the_carrier(c6),E) = D. [resolve(1901,a,1589,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1901,a,1590,b)]. 66.19/66.31 1902 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,D,E),powerset(the_carrier(A))). [resolve(889,b,867,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | in(ordered_pair(C,D),f202(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | element(f203(c6,A,C,D),powerset(the_carrier(c6))). [resolve(1902,a,1589,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1902,a,1590,b)]. 66.19/66.31 1903 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f203(A,B,D,E) = D. [resolve(889,b,868,a)]. 66.19/66.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | in(ordered_pair(C,D),f202(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | f203(c6,A,C,D) = C. [resolve(1903,a,1589,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -latt_str(B). [resolve(1903,a,1590,b)]. 66.20/66.32 1904 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | in(ordered_pair(D,E),f202(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,D,E)) != E. [resolve(889,b,869,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | in(ordered_pair(C,D),f202(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f203(c6,A,C,D)) != D. [resolve(1904,a,1589,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -latt_str(B). [resolve(1904,a,1590,b)]. 66.20/66.32 1905 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f199(A,B) | subset_complement(the_carrier(A),C) = f201(A,B) | function(f202(A,B)). [resolve(889,b,870,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f199(c6,A) | subset_complement(the_carrier(c6),B) = f201(c6,A) | function(f202(c6,A)). [resolve(1905,a,1589,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | function(f202(B,A)) | -latt_str(B). [resolve(1905,a,1590,b)]. 66.20/66.32 1906 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f202(A,B)). [resolve(889,b,871,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f202(c6,A)). [resolve(1906,a,1589,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f202(B,A)) | -latt_str(B). [resolve(1906,a,1590,b)]. 66.20/66.32 1907 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,872,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(ordered_pair(B,C),f202(c6,A)) | in(B,complements_of_subsets(the_carrier(c6),A)). [resolve(1907,a,1589,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1907,a,1590,b)]. 66.20/66.32 1908 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(889,b,873,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(ordered_pair(B,C),f202(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != B | subset_complement(the_carrier(c6),D) = C. [resolve(1908,a,1589,a)]. 66.20/66.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1908,a,1590,b)]. 66.20/66.34 1909 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(889,b,874,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(ordered_pair(B,C),f202(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | element(f203(c6,A,B,C),powerset(the_carrier(c6))). [resolve(1909,a,1589,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1909,a,1590,b)]. 66.20/66.34 1910 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(889,b,875,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(ordered_pair(B,C),f202(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | f203(c6,A,B,C) = B. [resolve(1910,a,1589,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -latt_str(B). [resolve(1910,a,1590,b)]. 66.20/66.34 1911 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(889,b,876,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(ordered_pair(B,C),f202(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f203(c6,A,B,C)) != C. [resolve(1911,a,1589,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -latt_str(B). [resolve(1911,a,1590,b)]. 66.20/66.34 1912 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f199(A,B),complements_of_subsets(the_carrier(A),B)) | function(f202(A,B)). [resolve(889,b,877,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f199(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f202(c6,A)). [resolve(1912,a,1589,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | function(f202(B,A)) | -latt_str(B). [resolve(1912,a,1590,b)]. 66.20/66.34 1913 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | relation(f202(A,B)). [resolve(889,b,878,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | relation(f202(c6,A)). [resolve(1913,a,1589,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | relation(f202(B,A)) | -latt_str(B). [resolve(1913,a,1590,b)]. 66.20/66.34 1914 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(889,b,879,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | -in(ordered_pair(B,C),f202(c6,A)) | in(B,complements_of_subsets(the_carrier(c6),A)). [resolve(1914,a,1589,a)]. 66.20/66.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1914,a,1590,b)]. 66.20/66.36 1915 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | -in(ordered_pair(C,D),f202(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(889,b,880,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | -in(ordered_pair(B,C),f202(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != B | subset_complement(the_carrier(c6),D) = C. [resolve(1915,a,1589,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1915,a,1590,b)]. 66.20/66.36 1916 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f203(A,B,C,D),powerset(the_carrier(A))). [resolve(889,b,881,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | in(ordered_pair(B,C),f202(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | element(f203(c6,A,B,C),powerset(the_carrier(c6))). [resolve(1916,a,1589,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1916,a,1590,b)]. 66.20/66.36 1917 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f203(A,B,C,D) = C. [resolve(889,b,882,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | in(ordered_pair(B,C),f202(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | f203(c6,A,B,C) = B. [resolve(1917,a,1589,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -latt_str(B). [resolve(1917,a,1590,b)]. 66.20/66.36 1918 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | in(ordered_pair(C,D),f202(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f203(A,B,C,D)) != D. [resolve(889,b,883,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | in(ordered_pair(B,C),f202(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f203(c6,A,B,C)) != C. [resolve(1918,a,1589,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -latt_str(B). [resolve(1918,a,1590,b)]. 66.20/66.36 1919 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f201(A,B) != f200(A,B) | function(f202(A,B)). [resolve(889,b,884,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f201(c6,A) != f200(c6,A) | function(f202(c6,A)). [resolve(1919,a,1589,a)]. 66.20/66.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | function(f202(B,A)) | -latt_str(B). [resolve(1919,a,1590,b)]. 66.20/66.36 1920 -meet_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(889,b,885,a)]. 66.20/66.36 Derived: empty_carrier(c6) | -empty(cast_as_carrier_subset(c6)). [resolve(1920,a,1589,a)]. 66.20/66.36 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -latt_str(A). [resolve(1920,a,1590,b)]. 66.20/66.36 1921 -meet_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B). [resolve(889,b,886,b)]. 66.20/66.36 Derived: empty_carrier(c6) | -element(A,powerset(the_carrier(c6))) | -element(B,the_carrier(c6)) | -in(B,subset_complement(the_carrier(c6),A)) | -in(B,A). [resolve(1921,a,1589,a)]. 66.20/66.36 Derived: empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B) | -latt_str(A). [resolve(1921,a,1590,b)]. 66.20/66.38 1922 -meet_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B). [resolve(889,b,887,b)]. 66.20/66.38 Derived: empty_carrier(c6) | -element(A,powerset(the_carrier(c6))) | -element(B,the_carrier(c6)) | in(B,subset_complement(the_carrier(c6),A)) | in(B,A). [resolve(1922,a,1589,a)]. 66.20/66.38 Derived: empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B) | -latt_str(A). [resolve(1922,a,1590,b)]. 66.20/66.38 1923 -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)) = B. [resolve(889,b,888,a)]. 66.20/66.38 Derived: -element(A,powerset(the_carrier(c6))) | subset_difference(the_carrier(c6),cast_as_carrier_subset(c6),subset_difference(the_carrier(c6),cast_as_carrier_subset(c6),A)) = A. [resolve(1923,a,1589,a)]. 66.20/66.38 Derived: -element(A,powerset(the_carrier(B))) | subset_difference(the_carrier(B),cast_as_carrier_subset(B),subset_difference(the_carrier(B),cast_as_carrier_subset(B),A)) = A | -latt_str(B). [resolve(1923,a,1590,b)]. 66.20/66.38 1924 -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -meet_semilatt_str(B). [resolve(890,a,889,b)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -finite(complements_of_subsets(the_carrier(c6),A)) | finite(A). [resolve(1924,d,1589,a)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -latt_str(B). [resolve(1924,d,1590,b)]. 66.20/66.38 1925 -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -meet_semilatt_str(B). [resolve(891,a,889,b)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | finite(complements_of_subsets(the_carrier(c6),A)) | -finite(A). [resolve(1925,d,1589,a)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -latt_str(B). [resolve(1925,d,1590,b)]. 66.20/66.38 1926 empty(the_carrier(A)) | -empty_carrier(A) | -meet_semilatt_str(A). [resolve(893,a,889,b)]. 66.20/66.38 Derived: empty(the_carrier(c6)) | -empty_carrier(c6). [resolve(1926,c,1589,a)]. 66.20/66.38 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -latt_str(A). [resolve(1926,c,1590,b)]. 66.20/66.38 1927 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(895,b,889,b)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f313(c6,A)). [resolve(1927,e,1589,a)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -latt_str(B). [resolve(1927,e,1590,b)]. 66.20/66.38 1928 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(896,b,889,b)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1928,h,1589,a)]. 66.20/66.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1928,h,1590,b)]. 66.20/66.40 1929 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(897,b,889,b)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1929,e,1589,a)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1929,e,1590,b)]. 66.20/66.40 1930 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(898,b,889,b)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f313(c6,A)). [resolve(1930,e,1589,a)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -latt_str(B). [resolve(1930,e,1590,b)]. 66.20/66.40 1931 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(899,b,889,b)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | relation(f313(c6,A)). [resolve(1931,g,1589,a)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1931,g,1590,b)]. 66.20/66.40 1932 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(900,b,889,b)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f313(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1932,j,1589,a)]. 66.20/66.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1932,j,1590,b)]. 66.20/66.40 1933 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(901,b,889,b)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1933,g,1589,a)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1933,g,1590,b)]. 66.29/66.42 1934 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(902,b,889,b)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | function(f313(c6,A)). [resolve(1934,g,1589,a)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1934,g,1590,b)]. 66.29/66.42 1935 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(903,b,889,b)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | relation(f313(c6,A)). [resolve(1935,g,1589,a)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1935,g,1590,b)]. 66.29/66.42 1936 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(904,b,889,b)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f313(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1936,j,1589,a)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1936,j,1590,b)]. 66.29/66.42 1937 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(905,b,889,b)]. 66.29/66.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1937,g,1589,a)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1937,g,1590,b)]. 66.29/66.44 1938 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(906,b,889,b)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | function(f313(c6,A)). [resolve(1938,g,1589,a)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1938,g,1590,b)]. 66.29/66.44 1939 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(907,b,889,b)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | f312(c6,A) != f311(c6,A) | relation(f313(c6,A)). [resolve(1939,e,1589,a)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1939,e,1590,b)]. 66.29/66.44 1940 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(908,b,889,b)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | f312(c6,A) != f311(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1940,h,1589,a)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1940,h,1590,b)]. 66.29/66.44 1941 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(909,b,889,b)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | f312(c6,A) != f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1941,e,1589,a)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1941,e,1590,b)]. 66.29/66.44 1942 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(910,b,889,b)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | element(f309(c6,A,B),powerset(the_carrier(c6))) | f312(c6,A) != f311(c6,A) | function(f313(c6,A)). [resolve(1942,e,1589,a)]. 66.29/66.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1942,e,1590,b)]. 66.29/66.47 1943 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(911,b,889,b)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f313(c6,A)). [resolve(1943,e,1589,a)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -latt_str(B). [resolve(1943,e,1590,b)]. 66.29/66.47 1944 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(912,b,889,b)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1944,h,1589,a)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1944,h,1590,b)]. 66.29/66.47 1945 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(913,b,889,b)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1945,e,1589,a)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1945,e,1590,b)]. 66.29/66.47 1946 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(914,b,889,b)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f313(c6,A)). [resolve(1946,e,1589,a)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -latt_str(B). [resolve(1946,e,1590,b)]. 66.29/66.47 1947 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(915,b,889,b)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | relation(f313(c6,A)). [resolve(1947,g,1589,a)]. 66.29/66.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1947,g,1590,b)]. 66.29/66.47 1948 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(916,b,889,b)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f313(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1948,j,1589,a)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1948,j,1590,b)]. 66.37/66.49 1949 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(917,b,889,b)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1949,g,1589,a)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1949,g,1590,b)]. 66.37/66.49 1950 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(918,b,889,b)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | function(f313(c6,A)). [resolve(1950,g,1589,a)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1950,g,1590,b)]. 66.37/66.49 1951 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(919,b,889,b)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | relation(f313(c6,A)). [resolve(1951,g,1589,a)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1951,g,1590,b)]. 66.37/66.49 1952 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(920,b,889,b)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f313(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1952,j,1589,a)]. 66.37/66.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1952,j,1590,b)]. 66.37/66.52 1953 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(921,b,889,b)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1953,g,1589,a)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1953,g,1590,b)]. 66.37/66.52 1954 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(922,b,889,b)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | function(f313(c6,A)). [resolve(1954,g,1589,a)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1954,g,1590,b)]. 66.37/66.52 1955 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(923,b,889,b)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | f312(c6,A) != f311(c6,A) | relation(f313(c6,A)). [resolve(1955,e,1589,a)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1955,e,1590,b)]. 66.37/66.52 1956 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(924,b,889,b)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | f312(c6,A) != f311(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1956,h,1589,a)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1956,h,1590,b)]. 66.37/66.52 1957 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(925,b,889,b)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | f312(c6,A) != f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1957,e,1589,a)]. 66.37/66.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1957,e,1590,b)]. 66.37/66.52 1958 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(926,b,889,b)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f309(c6,A,B) = f308(c6,A) | f312(c6,A) != f311(c6,A) | function(f313(c6,A)). [resolve(1958,e,1589,a)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1958,e,1590,b)]. 66.37/66.54 1959 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(927,b,889,b)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f313(c6,A)). [resolve(1959,e,1589,a)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -latt_str(B). [resolve(1959,e,1590,b)]. 66.37/66.54 1960 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(928,b,889,b)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1960,h,1589,a)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1960,h,1590,b)]. 66.37/66.54 1961 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(929,b,889,b)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1961,e,1589,a)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1961,e,1590,b)]. 66.37/66.54 1962 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(930,b,889,b)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f313(c6,A)). [resolve(1962,e,1589,a)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -latt_str(B). [resolve(1962,e,1590,b)]. 66.37/66.54 1963 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(931,b,889,b)]. 66.37/66.54 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | relation(f313(c6,A)). [resolve(1963,g,1589,a)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1963,g,1590,b)]. 66.37/66.56 1964 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(932,b,889,b)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f313(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1964,j,1589,a)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1964,j,1590,b)]. 66.37/66.56 1965 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(933,b,889,b)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1965,g,1589,a)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1965,g,1590,b)]. 66.37/66.56 1966 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(934,b,889,b)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f312(c6,A) | function(f313(c6,A)). [resolve(1966,g,1589,a)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1966,g,1590,b)]. 66.37/66.56 1967 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(935,b,889,b)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | relation(f313(c6,A)). [resolve(1967,g,1589,a)]. 66.37/66.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1967,g,1590,b)]. 66.46/66.58 1968 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(936,b,889,b)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f313(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(1968,j,1589,a)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1968,j,1590,b)]. 66.46/66.58 1969 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(937,b,889,b)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1969,g,1589,a)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1969,g,1590,b)]. 66.46/66.58 1970 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(938,b,889,b)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | -element(C,powerset(the_carrier(c6))) | C != f310(c6,A) | subset_complement(the_carrier(c6),C) = f311(c6,A) | function(f313(c6,A)). [resolve(1970,g,1589,a)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1970,g,1590,b)]. 66.46/66.58 1971 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(939,b,889,b)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | f312(c6,A) != f311(c6,A) | relation(f313(c6,A)). [resolve(1971,e,1589,a)]. 66.46/66.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1971,e,1590,b)]. 66.46/66.58 1972 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(940,b,889,b)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | f312(c6,A) != f311(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1972,h,1589,a)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1972,h,1590,b)]. 66.47/66.60 1973 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(941,b,889,b)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | f312(c6,A) != f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1973,e,1589,a)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1973,e,1590,b)]. 66.47/66.60 1974 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(942,b,889,b)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | subset_complement(the_carrier(c6),f309(c6,A,B)) != B | f312(c6,A) != f311(c6,A) | function(f313(c6,A)). [resolve(1974,e,1589,a)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1974,e,1590,b)]. 66.47/66.60 1975 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(943,b,889,b)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f313(c6,A)). [resolve(1975,e,1589,a)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -latt_str(B). [resolve(1975,e,1590,b)]. 66.47/66.60 1976 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(944,b,889,b)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f313(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(1976,h,1589,a)]. 66.47/66.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1976,h,1590,b)]. 66.47/66.60 1977 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(945,b,889,b)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1977,e,1589,a)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1977,e,1590,b)]. 66.50/66.63 1978 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(946,b,889,b)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f310(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f313(c6,A)). [resolve(1978,e,1589,a)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -latt_str(B). [resolve(1978,e,1590,b)]. 66.50/66.63 1979 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(947,b,889,b)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f312(c6,A) | relation(f313(c6,A)). [resolve(1979,g,1589,a)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1979,g,1590,b)]. 66.50/66.63 1980 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(948,b,889,b)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f312(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1980,j,1589,a)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1980,j,1590,b)]. 66.50/66.63 1981 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(949,b,889,b)]. 66.50/66.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f312(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1981,g,1589,a)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1981,g,1590,b)]. 66.50/66.65 1982 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(950,b,889,b)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f312(c6,A) | function(f313(c6,A)). [resolve(1982,g,1589,a)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1982,g,1590,b)]. 66.50/66.65 1983 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(951,b,889,b)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f311(c6,A) | relation(f313(c6,A)). [resolve(1983,g,1589,a)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1983,g,1590,b)]. 66.50/66.65 1984 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(952,b,889,b)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f311(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f313(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(1984,j,1589,a)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1984,j,1590,b)]. 66.50/66.65 1985 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(953,b,889,b)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1985,g,1589,a)]. 66.50/66.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1985,g,1590,b)]. 66.81/66.99 1986 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(954,b,889,b)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f310(c6,A) | subset_complement(the_carrier(c6),B) = f311(c6,A) | function(f313(c6,A)). [resolve(1986,g,1589,a)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1986,g,1590,b)]. 66.81/66.99 1987 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -meet_semilatt_str(B). [resolve(955,b,889,b)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | f312(c6,A) != f311(c6,A) | relation(f313(c6,A)). [resolve(1987,e,1589,a)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -latt_str(B). [resolve(1987,e,1590,b)]. 66.81/66.99 1988 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(956,b,889,b)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | f312(c6,A) != f311(c6,A) | -in(B,complements_of_subsets(the_carrier(c6),A)) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f313(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(1988,h,1589,a)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1988,h,1590,b)]. 66.81/66.99 1989 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -meet_semilatt_str(B). [resolve(957,b,889,b)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | f312(c6,A) != f311(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f313(c6,A)). [resolve(1989,e,1589,a)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -latt_str(B). [resolve(1989,e,1590,b)]. 66.81/66.99 1990 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -meet_semilatt_str(B). [resolve(958,b,889,b)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f308(c6,A),complements_of_subsets(the_carrier(c6),A)) | f312(c6,A) != f311(c6,A) | function(f313(c6,A)). [resolve(1990,e,1589,a)]. 66.81/66.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -latt_str(B). [resolve(1990,e,1590,b)]. 66.81/66.99 1991 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(960,b,889,b)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f350(c6,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1991,d,1589,a)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1991,d,1590,b)]. 66.90/67.03 1992 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -meet_semilatt_str(B). [resolve(961,b,889,b)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f350(c6,A,C)) | -element(D,powerset(the_carrier(c6))) | D != f351(c6,A,C,B) | subset_complement(the_carrier(c6),D) = f352(c6,A,C,B). [resolve(1992,f,1589,a)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -latt_str(B). [resolve(1992,f,1590,b)]. 66.90/67.03 1993 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(962,b,889,b)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f350(c6,A,C)) | in(f351(c6,A,C,B),complements_of_subsets(the_carrier(c6),A)). [resolve(1993,d,1589,a)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1993,d,1590,b)]. 66.90/67.03 1994 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -meet_semilatt_str(B). [resolve(963,b,889,b)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f350(c6,A,C)) | ordered_pair(f351(c6,A,C,B),f352(c6,A,C,B)) = B. [resolve(1994,d,1589,a)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -latt_str(B). [resolve(1994,d,1590,b)]. 66.90/67.03 1995 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -meet_semilatt_str(B). [resolve(964,b,889,b)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f350(c6,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | element(f353(c6,A,C,B,D,E),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | ordered_pair(D,E) != B. [resolve(1995,g,1589,a)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -latt_str(B). [resolve(1995,g,1590,b)]. 66.90/67.03 1996 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -meet_semilatt_str(B). [resolve(965,b,889,b)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f350(c6,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | f353(c6,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | ordered_pair(D,E) != B. [resolve(1996,g,1589,a)]. 66.90/67.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -latt_str(B). [resolve(1996,g,1590,b)]. 66.90/67.03 1997 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -meet_semilatt_str(B). [resolve(966,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f350(c6,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | subset_complement(the_carrier(c6),f353(c6,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c6),A)) | ordered_pair(D,E) != B. [resolve(1997,g,1589,a)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -latt_str(B). [resolve(1997,g,1590,b)]. 66.90/67.06 1998 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -meet_semilatt_str(B). [resolve(967,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f376(c6,A,C)) | ordered_pair(f377(c6,A,C,B),f378(c6,A,C,B)) = B. [resolve(1998,d,1589,a)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -latt_str(B). [resolve(1998,d,1590,b)]. 66.90/67.06 1999 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -meet_semilatt_str(B). [resolve(968,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f376(c6,A,C)) | -element(D,powerset(the_carrier(c6))) | D != f377(c6,A,C,B) | subset_complement(the_carrier(c6),D) = f378(c6,A,C,B). [resolve(1999,f,1589,a)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -latt_str(B). [resolve(1999,f,1590,b)]. 66.90/67.06 2000 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -meet_semilatt_str(B). [resolve(969,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f376(c6,A,C)) | in(f377(c6,A,C,B),A). [resolve(2000,d,1589,a)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -latt_str(B). [resolve(2000,d,1590,b)]. 66.90/67.06 2001 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(970,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f376(c6,A,C)) | in(B,cartesian_product2(A,C)). [resolve(2001,d,1589,a)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(2001,d,1590,b)]. 66.90/67.06 2002 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(971,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f376(c6,A,C)) | ordered_pair(D,E) != B | element(f379(c6,A,C,B,D,E),powerset(the_carrier(c6))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(2002,g,1589,a)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(2002,g,1590,b)]. 66.90/67.06 2003 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(972,b,889,b)]. 66.90/67.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f376(c6,A,C)) | ordered_pair(D,E) != B | f379(c6,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(2003,g,1589,a)]. 76.56/76.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(2003,g,1590,b)]. 76.56/76.77 2004 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -meet_semilatt_str(B). [resolve(973,b,889,b)]. 76.56/76.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f376(c6,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c6),f379(c6,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(2004,g,1589,a)]. 76.56/76.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(2004,g,1590,b)]. 76.56/76.77 2005 -join_semilatt_str(A) | quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(dt_u2_lattices) # label(axiom). [clausify(195)]. 76.56/76.77 2006 join_semilatt_str(c9) # label(existence_l2_lattices) # label(axiom). [clausify(106)]. 76.56/76.77 2007 -latt_str(A) | join_semilatt_str(A) # label(dt_l3_lattices) # label(axiom). [clausify(139)]. 76.56/76.77 Derived: quasi_total(the_L_join(c9),cartesian_product2(the_carrier(c9),the_carrier(c9)),the_carrier(c9)). [resolve(2005,a,2006,a)]. 76.56/76.77 Derived: quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A). [resolve(2005,a,2007,b)]. 76.56/76.77 2008 -join_semilatt_str(A) | relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(dt_u2_lattices) # label(axiom). [clausify(195)]. 76.56/76.77 Derived: relation_of2_as_subset(the_L_join(c9),cartesian_product2(the_carrier(c9),the_carrier(c9)),the_carrier(c9)). [resolve(2008,a,2006,a)]. 76.56/76.77 Derived: relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A). [resolve(2008,a,2007,b)]. 76.56/76.77 2009 -join_semilatt_str(A) | function(the_L_join(A)) # label(dt_u2_lattices) # label(axiom). [clausify(195)]. 76.56/76.77 Derived: function(the_L_join(c9)). [resolve(2009,a,2006,a)]. 76.56/76.77 Derived: function(the_L_join(A)) | -latt_str(A). [resolve(2009,a,2007,b)]. 76.56/76.77 2010 -join_semilatt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,B,C) != C | below(A,B,C) # label(d3_lattices) # label(axiom). [clausify(235)]. 76.56/76.77 Derived: empty_carrier(c9) | -element(A,the_carrier(c9)) | -element(B,the_carrier(c9)) | join(c9,A,B) != B | below(c9,A,B). [resolve(2010,a,2006,a)]. 76.56/76.77 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,B,C) != C | below(A,B,C) | -latt_str(A). [resolve(2010,a,2007,b)]. 76.56/76.77 2011 -join_semilatt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,B,C) = C | -below(A,B,C) # label(d3_lattices) # label(axiom). [clausify(235)]. 76.56/76.77 Derived: empty_carrier(c9) | -element(A,the_carrier(c9)) | -element(B,the_carrier(c9)) | join(c9,A,B) = B | -below(c9,A,B). [resolve(2011,a,2006,a)]. 76.56/76.77 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | join(A,B,C) = C | -below(A,B,C) | -latt_str(A). [resolve(2011,a,2007,b)]. 76.56/76.77 2012 -join_semilatt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_join(A),B,C) = join(A,B,C) # label(d1_lattices) # label(axiom). [clausify(413)]. 76.56/76.77 Derived: empty_carrier(c9) | -element(A,the_carrier(c9)) | -element(B,the_carrier(c9)) | apply_binary_as_element(the_carrier(c9),the_carrier(c9),the_carrier(c9),the_L_join(c9),A,B) = join(c9,A,B). [resolve(2012,a,2006,a)]. 76.56/76.77 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_join(A),B,C) = join(A,B,C) | -latt_str(A). [resolve(2012,a,2007,b)]. 76.56/76.77 2013 -join_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | element(join(A,B,C),the_carrier(A)) # label(dt_k1_lattices) # label(axiom). [clausify(468)]. 76.76/76.99 Derived: -element(A,the_carrier(c9)) | -element(B,the_carrier(c9)) | empty_carrier(c9) | element(join(c9,A,B),the_carrier(c9)). [resolve(2013,a,2006,a)]. 76.76/76.99 Derived: -element(A,the_carrier(B)) | -element(C,the_carrier(B)) | empty_carrier(B) | element(join(B,A,C),the_carrier(B)) | -latt_str(B). [resolve(2013,a,2007,b)]. 76.76/76.99 2014 -join_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(560,b,561,a)]. 76.76/76.99 Derived: cast_as_carrier_subset(c9) = the_carrier(c9). [resolve(2014,a,2006,a)]. 76.76/76.99 2015 -join_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(560,b,562,a)]. 76.76/76.99 Derived: empty_carrier_subset(c9) = empty_set. [resolve(2015,a,2006,a)]. 76.76/76.99 2016 -join_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(560,b,563,a)]. 76.76/76.99 Derived: element(cast_as_carrier_subset(c9),powerset(the_carrier(c9))). [resolve(2016,a,2006,a)]. 76.76/76.99 2017 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,564,b)]. 76.76/76.99 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2017,a,2006,a)]. 76.76/76.99 2018 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,565,b)]. 76.76/76.99 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2018,a,2006,a)]. 76.76/76.99 2019 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,566,b)]. 76.76/76.99 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2019,a,2006,a)]. 76.76/76.99 2020 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,567,b)]. 76.76/76.99 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2020,a,2006,a)]. 76.76/76.99 2021 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,568,b)]. 76.76/76.99 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2021,a,2006,a)]. 76.76/76.99 2022 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,569,b)]. 76.76/76.99 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2022,a,2006,a)]. 76.85/77.04 2023 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,570,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2023,a,2006,a)]. 76.85/77.04 2024 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f15(A,B,C),f16(A,B,C)) = f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,571,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f15(c9,A,B),f16(c9,A,B)) = f13(c9,A,B) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2024,a,2006,a)]. 76.85/77.04 2025 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,572,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c9,A,C,E,D,F,V6),powerset(the_carrier(c9))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c9,A,C)). [resolve(2025,a,2006,a)]. 76.85/77.04 2026 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,573,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c9,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c9,A,C)). [resolve(2026,a,2006,a)]. 76.85/77.04 2027 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,574,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c9),f20(c9,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c9,A,C)). [resolve(2027,a,2006,a)]. 76.85/77.04 2028 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(560,b,575,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | in(f21(c9,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c9,A,C)). [resolve(2028,a,2006,a)]. 76.85/77.04 2029 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(560,b,576,b)]. 76.85/77.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | f21(c9,A,C,D) = D | -in(D,f19(c9,A,C)). [resolve(2029,a,2006,a)]. 76.85/77.04 2030 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(560,b,577,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | -element(D,powerset(the_carrier(c9))) | D != f22(c9,A,C,E) | subset_complement(the_carrier(c9),D) = f23(c9,A,C,E) | -in(E,f19(c9,A,C)). [resolve(2030,a,2006,a)]. 76.93/77.10 2031 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(560,b,578,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | in(f22(c9,A,C,D),A) | -in(D,f19(c9,A,C)). [resolve(2031,a,2006,a)]. 76.93/77.10 2032 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f15(A,B,D) | subset_complement(the_carrier(A),C) = f16(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(560,b,579,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f15(c9,A,C) | subset_complement(the_carrier(c9),B) = f16(c9,A,C) | ordered_pair(f22(c9,A,C,D),f23(c9,A,C,D)) = D | -in(D,f19(c9,A,C)). [resolve(2032,a,2006,a)]. 76.93/77.10 2033 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,580,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2033,a,2006,a)]. 76.93/77.10 2034 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,581,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2034,a,2006,a)]. 76.93/77.10 2035 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,582,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2035,a,2006,a)]. 76.93/77.10 2036 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,583,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2036,a,2006,a)]. 76.93/77.10 2037 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,584,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2037,a,2006,a)]. 76.93/77.10 2038 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,585,b)]. 76.93/77.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2038,a,2006,a)]. 76.93/77.15 2039 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,586,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2039,a,2006,a)]. 76.93/77.15 2040 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f15(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,587,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f15(c9,A,B),A) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2040,a,2006,a)]. 76.93/77.15 2041 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | element(f20(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,588,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | -in(D,cartesian_product2(A,C)) | D != E | element(f20(c9,A,C,E,D,F,V6),powerset(the_carrier(c9))) | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c9,A,C)). [resolve(2041,a,2006,a)]. 76.93/77.15 2042 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | f20(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,589,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | -in(D,cartesian_product2(A,C)) | D != E | f20(c9,A,C,E,D,F,V6) = F | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c9,A,C)). [resolve(2042,a,2006,a)]. 76.93/77.15 2043 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | subset_complement(the_carrier(A),f20(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | ordered_pair(V6,V7) != F | in(F,f19(A,B,D)). [resolve(560,b,590,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | -in(D,cartesian_product2(A,C)) | D != E | subset_complement(the_carrier(c9),f20(c9,A,C,E,D,F,V6)) != V6 | -in(F,A) | ordered_pair(F,V6) != E | in(E,f19(c9,A,C)). [resolve(2043,a,2006,a)]. 76.93/77.15 2044 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f21(A,B,D,E),cartesian_product2(B,D)) | -in(E,f19(A,B,D)). [resolve(560,b,591,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | in(f21(c9,A,C,D),cartesian_product2(A,C)) | -in(D,f19(c9,A,C)). [resolve(2044,a,2006,a)]. 76.93/77.15 2045 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | f21(A,B,D,E) = E | -in(E,f19(A,B,D)). [resolve(560,b,592,b)]. 76.93/77.15 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | f21(c9,A,C,D) = D | -in(D,f19(c9,A,C)). [resolve(2045,a,2006,a)]. 76.93/77.15 2046 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f22(A,B,D,F) | subset_complement(the_carrier(A),E) = f23(A,B,D,F) | -in(F,f19(A,B,D)). [resolve(560,b,593,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | -element(D,powerset(the_carrier(c9))) | D != f22(c9,A,C,E) | subset_complement(the_carrier(c9),D) = f23(c9,A,C,E) | -in(E,f19(c9,A,C)). [resolve(2046,a,2006,a)]. 77.05/77.20 2047 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | in(f22(A,B,D,E),B) | -in(E,f19(A,B,D)). [resolve(560,b,594,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | in(f22(c9,A,C,D),A) | -in(D,f19(c9,A,C)). [resolve(2047,a,2006,a)]. 77.05/77.20 2048 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f17(A,B,D) | subset_complement(the_carrier(A),C) = f18(A,B,D) | ordered_pair(f22(A,B,D,E),f23(A,B,D,E)) = E | -in(E,f19(A,B,D)). [resolve(560,b,595,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f17(c9,A,C) | subset_complement(the_carrier(c9),B) = f18(c9,A,C) | ordered_pair(f22(c9,A,C,D),f23(c9,A,C,D)) = D | -in(D,f19(c9,A,C)). [resolve(2048,a,2006,a)]. 77.05/77.20 2049 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,596,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2049,a,2006,a)]. 77.05/77.20 2050 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,597,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2050,a,2006,a)]. 77.05/77.20 2051 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,598,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2051,a,2006,a)]. 77.05/77.20 2052 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,599,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2052,a,2006,a)]. 77.05/77.20 2053 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,600,b)]. 77.05/77.20 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2053,a,2006,a)]. 77.05/77.20 2054 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,601,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2054,a,2006,a)]. 77.06/77.25 2055 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,602,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2055,a,2006,a)]. 77.06/77.25 2056 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f17(A,B,C),B) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,603,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f17(c9,A,B),A) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2056,a,2006,a)]. 77.06/77.25 2057 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,604,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2057,a,2006,a)]. 77.06/77.25 2058 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,605,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2058,a,2006,a)]. 77.06/77.25 2059 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,606,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2059,a,2006,a)]. 77.06/77.25 2060 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,607,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2060,a,2006,a)]. 77.06/77.25 2061 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,608,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2061,a,2006,a)]. 77.06/77.25 2062 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,609,b)]. 77.06/77.25 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2062,a,2006,a)]. 77.06/77.25 2063 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,610,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2063,a,2006,a)]. 77.06/77.31 2064 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f17(A,B,C),f18(A,B,C)) = f14(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,611,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f17(c9,A,B),f18(c9,A,B)) = f14(c9,A,B) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2064,a,2006,a)]. 77.06/77.31 2065 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,612,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2065,a,2006,a)]. 77.06/77.31 2066 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,613,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2066,a,2006,a)]. 77.06/77.31 2067 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,614,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2067,a,2006,a)]. 77.06/77.31 2068 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,615,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2068,a,2006,a)]. 77.06/77.31 2069 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,616,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2069,a,2006,a)]. 77.06/77.31 2070 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,617,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2070,a,2006,a)]. 77.06/77.31 2071 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,618,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2071,a,2006,a)]. 77.06/77.31 2072 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,619,b)]. 77.06/77.31 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) = f12(c9,A,B) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2072,a,2006,a)]. 77.18/77.37 2073 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,620,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2073,a,2006,a)]. 77.18/77.37 2074 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,621,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2074,a,2006,a)]. 77.18/77.37 2075 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,622,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2075,a,2006,a)]. 77.18/77.37 2076 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,623,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2076,a,2006,a)]. 77.18/77.37 2077 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,624,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2077,a,2006,a)]. 77.18/77.37 2078 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,625,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2078,a,2006,a)]. 77.18/77.37 2079 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,626,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2079,a,2006,a)]. 77.18/77.37 2080 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f13(A,B,C) = f12(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,627,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f13(c9,A,B) = f12(c9,A,B) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2080,a,2006,a)]. 77.18/77.37 2081 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | element(f20(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,628,b)]. 77.18/77.37 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | element(f20(c9,A,B,D,C,E,F),powerset(the_carrier(c9))) | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2081,a,2006,a)]. 77.27/77.43 2082 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | f20(A,B,C,E,D,F,V6) = F | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,629,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | f20(c9,A,B,D,C,E,F) = E | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2082,a,2006,a)]. 77.27/77.43 2083 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | subset_complement(the_carrier(A),f20(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | ordered_pair(F,V6) != E | in(E,f19(A,B,C)). [resolve(560,b,630,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | -in(C,cartesian_product2(A,B)) | C != D | subset_complement(the_carrier(c9),f20(c9,A,B,D,C,E,F)) != F | -in(E,A) | ordered_pair(E,F) != D | in(D,f19(c9,A,B)). [resolve(2083,a,2006,a)]. 77.27/77.43 2084 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f21(A,B,C,D),cartesian_product2(B,C)) | -in(D,f19(A,B,C)). [resolve(560,b,631,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | in(f21(c9,A,B,C),cartesian_product2(A,B)) | -in(C,f19(c9,A,B)). [resolve(2084,a,2006,a)]. 77.27/77.43 2085 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | f21(A,B,C,D) = D | -in(D,f19(A,B,C)). [resolve(560,b,632,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | f21(c9,A,B,C) = C | -in(C,f19(c9,A,B)). [resolve(2085,a,2006,a)]. 77.27/77.43 2086 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f22(A,B,C,E) | subset_complement(the_carrier(A),D) = f23(A,B,C,E) | -in(E,f19(A,B,C)). [resolve(560,b,633,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f22(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f23(c9,A,B,D) | -in(D,f19(c9,A,B)). [resolve(2086,a,2006,a)]. 77.27/77.43 2087 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | in(f22(A,B,C,D),B) | -in(D,f19(A,B,C)). [resolve(560,b,634,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | in(f22(c9,A,B,C),A) | -in(C,f19(c9,A,B)). [resolve(2087,a,2006,a)]. 77.27/77.43 2088 -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f14(A,B,C) != f13(A,B,C) | ordered_pair(f22(A,B,C,D),f23(A,B,C,D)) = D | -in(D,f19(A,B,C)). [resolve(560,b,635,b)]. 77.27/77.43 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f14(c9,A,B) != f13(c9,A,B) | ordered_pair(f22(c9,A,B,C),f23(c9,A,B,C)) = C | -in(C,f19(c9,A,B)). [resolve(2088,a,2006,a)]. 77.27/77.43 2089 -join_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) = subset_complement(the_carrier(A),B). [resolve(560,b,636,a)]. 77.27/77.43 Derived: -element(A,powerset(the_carrier(c9))) | subset_difference(the_carrier(c9),cast_as_carrier_subset(c9),A) = subset_complement(the_carrier(c9),A). [resolve(2089,a,2006,a)]. 77.27/77.43 2090 -join_semilatt_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B. [resolve(560,b,637,b)]. 77.27/77.43 Derived: empty_carrier(c9) | -element(A,powerset(powerset(the_carrier(c9)))) | -is_a_cover_of_carrier(c9,A) | empty_set != A. [resolve(2090,a,2006,a)]. 77.27/77.43 2091 -join_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(560,b,638,a)]. 77.27/77.43 Derived: element(empty_carrier_subset(c9),powerset(the_carrier(c9))). [resolve(2091,a,2006,a)]. 77.27/77.43 2092 -join_semilatt_str(A) | empty_carrier(A) | -empty(f35(A)). [resolve(560,b,639,b)]. 77.27/77.43 Derived: empty_carrier(c9) | -empty(f35(c9)). [resolve(2092,a,2006,a)]. 77.27/77.49 2093 -join_semilatt_str(A) | empty_carrier(A) | element(f35(A),powerset(the_carrier(A))). [resolve(560,b,640,b)]. 77.27/77.49 Derived: empty_carrier(c9) | element(f35(c9),powerset(the_carrier(c9))). [resolve(2093,a,2006,a)]. 77.27/77.49 2094 -join_semilatt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(560,b,641,a)]. 77.27/77.49 Derived: empty_carrier(c9) | -empty(the_carrier(c9)). [resolve(2094,a,2006,a)]. 77.27/77.49 2095 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(642,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | relation(f53(c9,A)). [resolve(2095,d,2006,a)]. 77.27/77.49 2096 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(643,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | function(f53(c9,A)). [resolve(2096,d,2006,a)]. 77.27/77.49 2097 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(644,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | -in(B,A) | element(f54(c9,A,B,C),powerset(the_carrier(c9))) | in(ordered_pair(B,C),f53(c9,A)). [resolve(2097,f,2006,a)]. 77.27/77.49 2098 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(645,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | -in(B,A) | f54(c9,A,B,C) = B | in(ordered_pair(B,C),f53(c9,A)). [resolve(2098,f,2006,a)]. 77.27/77.49 2099 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(646,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | -in(B,A) | subset_complement(the_carrier(c9),f54(c9,A,B,C)) != C | in(ordered_pair(B,C),f53(c9,A)). [resolve(2099,f,2006,a)]. 77.27/77.49 2100 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(647,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | in(B,A) | -in(ordered_pair(B,C),f53(c9,A)). [resolve(2100,e,2006,a)]. 77.27/77.49 2101 -element(A,powerset(powerset(the_carrier(B)))) | in(f50(B,A),A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(648,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f50(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != C | subset_complement(the_carrier(c9),B) = D | -in(ordered_pair(C,D),f53(c9,A)). [resolve(2101,g,2006,a)]. 77.27/77.49 2102 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(649,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | relation(f53(c9,A)). [resolve(2102,f,2006,a)]. 77.27/77.49 2103 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(650,b,560,b)]. 77.27/77.49 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | function(f53(c9,A)). [resolve(2103,f,2006,a)]. 77.27/77.49 2104 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(651,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | -in(C,A) | element(f54(c9,A,C,D),powerset(the_carrier(c9))) | in(ordered_pair(C,D),f53(c9,A)). [resolve(2104,h,2006,a)]. 77.35/77.54 2105 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(652,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | -in(C,A) | f54(c9,A,C,D) = C | in(ordered_pair(C,D),f53(c9,A)). [resolve(2105,h,2006,a)]. 77.35/77.54 2106 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(653,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | -in(C,A) | subset_complement(the_carrier(c9),f54(c9,A,C,D)) != D | in(ordered_pair(C,D),f53(c9,A)). [resolve(2106,h,2006,a)]. 77.35/77.54 2107 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(654,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | in(C,A) | -in(ordered_pair(C,D),f53(c9,A)). [resolve(2107,g,2006,a)]. 77.35/77.54 2108 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f52(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) | -join_semilatt_str(B). [resolve(655,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f52(c9,A) | -element(C,powerset(the_carrier(c9))) | C != D | subset_complement(the_carrier(c9),C) = E | -in(ordered_pair(D,E),f53(c9,A)). [resolve(2108,i,2006,a)]. 77.35/77.54 2109 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(656,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | relation(f53(c9,A)). [resolve(2109,f,2006,a)]. 77.35/77.54 2110 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(657,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | function(f53(c9,A)). [resolve(2110,f,2006,a)]. 77.35/77.54 2111 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | element(f54(B,A,D,E),powerset(the_carrier(B))) | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(658,b,560,b)]. 77.35/77.54 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | -in(C,A) | element(f54(c9,A,C,D),powerset(the_carrier(c9))) | in(ordered_pair(C,D),f53(c9,A)). [resolve(2111,h,2006,a)]. 77.35/77.54 2112 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | f54(B,A,D,E) = D | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(659,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | -in(C,A) | f54(c9,A,C,D) = C | in(ordered_pair(C,D),f53(c9,A)). [resolve(2112,h,2006,a)]. 77.43/77.59 2113 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -in(D,A) | subset_complement(the_carrier(B),f54(B,A,D,E)) != E | in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(660,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | -in(C,A) | subset_complement(the_carrier(c9),f54(c9,A,C,D)) != D | in(ordered_pair(C,D),f53(c9,A)). [resolve(2113,h,2006,a)]. 77.43/77.59 2114 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | in(D,A) | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(661,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | in(C,A) | -in(ordered_pair(C,D),f53(c9,A)). [resolve(2114,g,2006,a)]. 77.43/77.59 2115 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f50(B,A) | subset_complement(the_carrier(B),C) = f51(B,A) | -element(D,powerset(the_carrier(B))) | D != E | subset_complement(the_carrier(B),D) = F | -in(ordered_pair(E,F),f53(B,A)) | -join_semilatt_str(B). [resolve(662,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f50(c9,A) | subset_complement(the_carrier(c9),B) = f51(c9,A) | -element(C,powerset(the_carrier(c9))) | C != D | subset_complement(the_carrier(c9),C) = E | -in(ordered_pair(D,E),f53(c9,A)). [resolve(2115,i,2006,a)]. 77.43/77.59 2116 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | relation(f53(B,A)) | -join_semilatt_str(B). [resolve(663,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | relation(f53(c9,A)). [resolve(2116,d,2006,a)]. 77.43/77.59 2117 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | function(f53(B,A)) | -join_semilatt_str(B). [resolve(664,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | function(f53(c9,A)). [resolve(2117,d,2006,a)]. 77.43/77.59 2118 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | element(f54(B,A,C,D),powerset(the_carrier(B))) | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(665,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | -in(B,A) | element(f54(c9,A,B,C),powerset(the_carrier(c9))) | in(ordered_pair(B,C),f53(c9,A)). [resolve(2118,f,2006,a)]. 77.43/77.59 2119 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | f54(B,A,C,D) = C | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(666,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | -in(B,A) | f54(c9,A,B,C) = B | in(ordered_pair(B,C),f53(c9,A)). [resolve(2119,f,2006,a)]. 77.43/77.59 2120 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -in(C,A) | subset_complement(the_carrier(B),f54(B,A,C,D)) != D | in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(667,b,560,b)]. 77.43/77.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | -in(B,A) | subset_complement(the_carrier(c9),f54(c9,A,B,C)) != C | in(ordered_pair(B,C),f53(c9,A)). [resolve(2120,f,2006,a)]. 77.43/77.59 2121 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | in(C,A) | -in(ordered_pair(C,D),f53(B,A)) | -join_semilatt_str(B). [resolve(668,b,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | in(B,A) | -in(ordered_pair(B,C),f53(c9,A)). [resolve(2121,e,2006,a)]. 77.43/77.63 2122 -element(A,powerset(powerset(the_carrier(B)))) | f52(B,A) != f51(B,A) | -element(C,powerset(the_carrier(B))) | C != D | subset_complement(the_carrier(B),C) = E | -in(ordered_pair(D,E),f53(B,A)) | -join_semilatt_str(B). [resolve(669,b,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f52(c9,A) != f51(c9,A) | -element(B,powerset(the_carrier(c9))) | B != C | subset_complement(the_carrier(c9),B) = D | -in(ordered_pair(C,D),f53(c9,A)). [resolve(2122,g,2006,a)]. 77.43/77.63 2123 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(670,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | in(f99(c9,A),A) | relation(f102(c9,A)). [resolve(2123,e,2006,a)]. 77.43/77.63 2124 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(671,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | in(f99(c9,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2124,h,2006,a)]. 77.43/77.63 2125 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(672,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | in(f99(c9,A),A) | relation_dom(f102(c9,A)) = A. [resolve(2125,e,2006,a)]. 77.43/77.63 2126 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(673,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | in(f99(c9,A),A) | function(f102(c9,A)). [resolve(2126,e,2006,a)]. 77.43/77.63 2127 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(674,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | relation(f102(c9,A)). [resolve(2127,g,2006,a)]. 77.43/77.63 2128 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(675,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | -in(D,A) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f102(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2128,j,2006,a)]. 77.43/77.63 2129 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(676,a,560,b)]. 77.43/77.63 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2129,g,2006,a)]. 77.55/77.68 2130 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(677,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | function(f102(c9,A)). [resolve(2130,g,2006,a)]. 77.55/77.68 2131 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(678,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | relation(f102(c9,A)). [resolve(2131,g,2006,a)]. 77.55/77.68 2132 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(679,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | -in(D,A) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f102(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2132,j,2006,a)]. 77.55/77.68 2133 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(680,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2133,g,2006,a)]. 77.55/77.68 2134 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(681,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | function(f102(c9,A)). [resolve(2134,g,2006,a)]. 77.55/77.68 2135 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(682,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | f101(c9,A) != f100(c9,A) | relation(f102(c9,A)). [resolve(2135,e,2006,a)]. 77.55/77.68 2136 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(683,a,560,b)]. 77.55/77.68 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | f101(c9,A) != f100(c9,A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2136,h,2006,a)]. 77.55/77.68 2137 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(684,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | f101(c9,A) != f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2137,e,2006,a)]. 77.59/77.73 2138 -element(A,powerset(powerset(the_carrier(B)))) | element(f98(B,A,C),powerset(the_carrier(B))) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(685,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f98(c9,A,B),powerset(the_carrier(c9))) | f101(c9,A) != f100(c9,A) | function(f102(c9,A)). [resolve(2138,e,2006,a)]. 77.59/77.73 2139 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(686,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | in(f99(c9,A),A) | relation(f102(c9,A)). [resolve(2139,e,2006,a)]. 77.59/77.73 2140 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(687,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | in(f99(c9,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2140,h,2006,a)]. 77.59/77.73 2141 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(688,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | in(f99(c9,A),A) | relation_dom(f102(c9,A)) = A. [resolve(2141,e,2006,a)]. 77.59/77.73 2142 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(689,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | in(f99(c9,A),A) | function(f102(c9,A)). [resolve(2142,e,2006,a)]. 77.59/77.73 2143 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(690,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | relation(f102(c9,A)). [resolve(2143,g,2006,a)]. 77.59/77.73 2144 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(691,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | -in(D,A) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f102(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2144,j,2006,a)]. 77.59/77.73 2145 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(692,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2145,g,2006,a)]. 77.59/77.73 2146 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(693,a,560,b)]. 77.59/77.73 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | function(f102(c9,A)). [resolve(2146,g,2006,a)]. 77.59/77.78 2147 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(694,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | relation(f102(c9,A)). [resolve(2147,g,2006,a)]. 77.59/77.78 2148 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(695,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | -in(D,A) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f102(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2148,j,2006,a)]. 77.59/77.78 2149 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(696,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2149,g,2006,a)]. 77.59/77.78 2150 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(697,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | function(f102(c9,A)). [resolve(2150,g,2006,a)]. 77.59/77.78 2151 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(698,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | f101(c9,A) != f100(c9,A) | relation(f102(c9,A)). [resolve(2151,e,2006,a)]. 77.59/77.78 2152 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(699,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | f101(c9,A) != f100(c9,A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2152,h,2006,a)]. 77.59/77.78 2153 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(700,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | f101(c9,A) != f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2153,e,2006,a)]. 77.59/77.78 2154 -element(A,powerset(powerset(the_carrier(B)))) | f98(B,A,C) = f97(B,A) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(701,a,560,b)]. 77.59/77.78 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f98(c9,A,B) = f97(c9,A) | f101(c9,A) != f100(c9,A) | function(f102(c9,A)). [resolve(2154,e,2006,a)]. 77.59/77.78 2155 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(702,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | in(f99(c9,A),A) | relation(f102(c9,A)). [resolve(2155,e,2006,a)]. 77.67/77.83 2156 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(703,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | in(f99(c9,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2156,h,2006,a)]. 77.67/77.83 2157 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(704,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | in(f99(c9,A),A) | relation_dom(f102(c9,A)) = A. [resolve(2157,e,2006,a)]. 77.67/77.83 2158 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(705,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | in(f99(c9,A),A) | function(f102(c9,A)). [resolve(2158,e,2006,a)]. 77.67/77.83 2159 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(706,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | relation(f102(c9,A)). [resolve(2159,g,2006,a)]. 77.67/77.83 2160 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(707,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | -in(D,A) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f102(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2160,j,2006,a)]. 77.67/77.83 2161 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(708,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2161,g,2006,a)]. 77.67/77.83 2162 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(709,a,560,b)]. 77.67/77.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f100(c9,A) | function(f102(c9,A)). [resolve(2162,g,2006,a)]. 77.67/77.83 2163 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(710,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | relation(f102(c9,A)). [resolve(2163,g,2006,a)]. 77.67/77.88 2164 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f102(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(711,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | -in(D,A) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f102(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2164,j,2006,a)]. 77.67/77.88 2165 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(712,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2165,g,2006,a)]. 77.67/77.88 2166 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f99(B,A) | subset_complement(the_carrier(B),D) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(713,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f99(c9,A) | subset_complement(the_carrier(c9),C) = f101(c9,A) | function(f102(c9,A)). [resolve(2166,g,2006,a)]. 77.67/77.88 2167 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(714,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | f101(c9,A) != f100(c9,A) | relation(f102(c9,A)). [resolve(2167,e,2006,a)]. 77.67/77.88 2168 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(715,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | f101(c9,A) != f100(c9,A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2168,h,2006,a)]. 77.67/77.88 2169 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(716,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | f101(c9,A) != f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2169,e,2006,a)]. 77.67/77.88 2170 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f98(B,A,C)) != C | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(717,a,560,b)]. 77.67/77.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f98(c9,A,B)) != B | f101(c9,A) != f100(c9,A) | function(f102(c9,A)). [resolve(2170,e,2006,a)]. 77.67/77.88 2171 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(718,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | in(f99(c9,A),A) | relation(f102(c9,A)). [resolve(2171,e,2006,a)]. 77.75/77.93 2172 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f102(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(719,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | in(f99(c9,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c9))) | C != B | apply(f102(c9,A),B) = subset_complement(the_carrier(c9),C). [resolve(2172,h,2006,a)]. 77.75/77.93 2173 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(720,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | in(f99(c9,A),A) | relation_dom(f102(c9,A)) = A. [resolve(2173,e,2006,a)]. 77.75/77.93 2174 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | in(f99(B,A),A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(721,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | in(f99(c9,A),A) | function(f102(c9,A)). [resolve(2174,e,2006,a)]. 77.75/77.93 2175 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(722,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f100(c9,A) | relation(f102(c9,A)). [resolve(2175,g,2006,a)]. 77.75/77.93 2176 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(723,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f100(c9,A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2176,j,2006,a)]. 77.75/77.93 2177 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(724,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2177,g,2006,a)]. 77.75/77.93 2178 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(725,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f100(c9,A) | function(f102(c9,A)). [resolve(2178,g,2006,a)]. 77.75/77.93 2179 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(726,a,560,b)]. 77.75/77.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f101(c9,A) | relation(f102(c9,A)). [resolve(2179,g,2006,a)]. 77.75/77.93 2180 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f102(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(727,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f101(c9,A) | -in(C,A) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f102(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2180,j,2006,a)]. 77.85/77.98 2181 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(728,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f101(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2181,g,2006,a)]. 77.85/77.98 2182 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f99(B,A) | subset_complement(the_carrier(B),C) = f101(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(729,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f99(c9,A) | subset_complement(the_carrier(c9),B) = f101(c9,A) | function(f102(c9,A)). [resolve(2182,g,2006,a)]. 77.85/77.98 2183 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | relation(f102(B,A)) | -join_semilatt_str(B). [resolve(730,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | f101(c9,A) != f100(c9,A) | relation(f102(c9,A)). [resolve(2183,e,2006,a)]. 77.85/77.98 2184 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f102(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(731,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | f101(c9,A) != f100(c9,A) | -in(B,A) | -element(C,powerset(the_carrier(c9))) | C != B | apply(f102(c9,A),B) = subset_complement(the_carrier(c9),C). [resolve(2184,h,2006,a)]. 77.85/77.98 2185 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | relation_dom(f102(B,A)) = A | -join_semilatt_str(B). [resolve(732,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | f101(c9,A) != f100(c9,A) | relation_dom(f102(c9,A)) = A. [resolve(2185,e,2006,a)]. 77.85/77.98 2186 -element(A,powerset(powerset(the_carrier(B)))) | in(f97(B,A),A) | f101(B,A) != f100(B,A) | function(f102(B,A)) | -join_semilatt_str(B). [resolve(733,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f97(c9,A),A) | f101(c9,A) != f100(c9,A) | function(f102(c9,A)). [resolve(2186,e,2006,a)]. 77.85/77.98 2187 -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -join_semilatt_str(B). [resolve(734,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -is_a_cover_of_carrier(c9,A) | union_of_subsets(the_carrier(c9),A) = cast_as_carrier_subset(c9). [resolve(2187,d,2006,a)]. 77.85/77.98 2188 -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -join_semilatt_str(B). [resolve(735,a,560,b)]. 77.85/77.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | is_a_cover_of_carrier(c9,A) | union_of_subsets(the_carrier(c9),A) != cast_as_carrier_subset(c9). [resolve(2188,d,2006,a)]. 77.85/77.98 2189 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | element(f111(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(736,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f108(c9,A) | element(f111(c9,A,C,D),powerset(the_carrier(c9))) | -in(D,A) | in(C,f110(c9,A)). [resolve(2189,h,2006,a)]. 77.90/78.04 2190 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | f111(B,A,D,E) = E | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(737,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f108(c9,A) | f111(c9,A,C,D) = D | -in(D,A) | in(C,f110(c9,A)). [resolve(2190,h,2006,a)]. 77.90/78.04 2191 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | subset_complement(the_carrier(B),f111(B,A,D,E)) != D | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(738,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f108(c9,A) | subset_complement(the_carrier(c9),f111(c9,A,C,D)) != C | -in(D,A) | in(C,f110(c9,A)). [resolve(2191,h,2006,a)]. 77.90/78.04 2192 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | -element(D,powerset(the_carrier(B))) | D != f112(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f110(B,A)) | -join_semilatt_str(B). [resolve(739,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f108(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f112(c9,A,D) | subset_complement(the_carrier(c9),C) = D | -in(D,f110(c9,A)). [resolve(2192,i,2006,a)]. 77.90/78.04 2193 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f108(B,A) | in(f112(B,A,D),A) | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(740,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f108(c9,A) | in(f112(c9,A,C),A) | -in(C,f110(c9,A)). [resolve(2193,g,2006,a)]. 77.90/78.04 2194 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | element(f111(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(741,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f109(c9,A) | element(f111(c9,A,C,D),powerset(the_carrier(c9))) | -in(D,A) | in(C,f110(c9,A)). [resolve(2194,h,2006,a)]. 77.90/78.04 2195 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | f111(B,A,D,E) = E | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(742,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f109(c9,A) | f111(c9,A,C,D) = D | -in(D,A) | in(C,f110(c9,A)). [resolve(2195,h,2006,a)]. 77.90/78.04 2196 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | subset_complement(the_carrier(B),f111(B,A,D,E)) != D | -in(E,A) | in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(743,a,560,b)]. 77.90/78.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f109(c9,A) | subset_complement(the_carrier(c9),f111(c9,A,C,D)) != C | -in(D,A) | in(C,f110(c9,A)). [resolve(2196,h,2006,a)]. 77.97/78.12 2197 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | -element(D,powerset(the_carrier(B))) | D != f112(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f110(B,A)) | -join_semilatt_str(B). [resolve(744,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f109(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f112(c9,A,D) | subset_complement(the_carrier(c9),C) = D | -in(D,f110(c9,A)). [resolve(2197,i,2006,a)]. 77.97/78.12 2198 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f107(B,A) | subset_complement(the_carrier(B),C) = f109(B,A) | in(f112(B,A,D),A) | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(745,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f107(c9,A) | subset_complement(the_carrier(c9),B) = f109(c9,A) | in(f112(c9,A,C),A) | -in(C,f110(c9,A)). [resolve(2198,g,2006,a)]. 77.97/78.12 2199 -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | element(f111(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(746,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f107(c9,A),A) | element(f111(c9,A,B,C),powerset(the_carrier(c9))) | -in(C,A) | in(B,f110(c9,A)). [resolve(2199,f,2006,a)]. 77.97/78.12 2200 -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | f111(B,A,C,D) = D | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(747,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f107(c9,A),A) | f111(c9,A,B,C) = C | -in(C,A) | in(B,f110(c9,A)). [resolve(2200,f,2006,a)]. 77.97/78.12 2201 -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | subset_complement(the_carrier(B),f111(B,A,C,D)) != C | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(748,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f107(c9,A),A) | subset_complement(the_carrier(c9),f111(c9,A,B,C)) != B | -in(C,A) | in(B,f110(c9,A)). [resolve(2201,f,2006,a)]. 77.97/78.12 2202 -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f112(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(749,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f107(c9,A),A) | -element(B,powerset(the_carrier(c9))) | B != f112(c9,A,C) | subset_complement(the_carrier(c9),B) = C | -in(C,f110(c9,A)). [resolve(2202,g,2006,a)]. 77.97/78.12 2203 -element(A,powerset(powerset(the_carrier(B)))) | in(f107(B,A),A) | in(f112(B,A,C),A) | -in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(750,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f107(c9,A),A) | in(f112(c9,A,B),A) | -in(B,f110(c9,A)). [resolve(2203,e,2006,a)]. 77.97/78.12 2204 -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | element(f111(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(751,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f109(c9,A) != f108(c9,A) | element(f111(c9,A,B,C),powerset(the_carrier(c9))) | -in(C,A) | in(B,f110(c9,A)). [resolve(2204,f,2006,a)]. 77.97/78.12 2205 -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | f111(B,A,C,D) = D | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(752,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f109(c9,A) != f108(c9,A) | f111(c9,A,B,C) = C | -in(C,A) | in(B,f110(c9,A)). [resolve(2205,f,2006,a)]. 77.97/78.12 2206 -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | subset_complement(the_carrier(B),f111(B,A,C,D)) != C | -in(D,A) | in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(753,a,560,b)]. 77.97/78.12 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f109(c9,A) != f108(c9,A) | subset_complement(the_carrier(c9),f111(c9,A,B,C)) != B | -in(C,A) | in(B,f110(c9,A)). [resolve(2206,f,2006,a)]. 78.20/78.39 2207 -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | -element(C,powerset(the_carrier(B))) | C != f112(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f110(B,A)) | -join_semilatt_str(B). [resolve(754,a,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f109(c9,A) != f108(c9,A) | -element(B,powerset(the_carrier(c9))) | B != f112(c9,A,C) | subset_complement(the_carrier(c9),B) = C | -in(C,f110(c9,A)). [resolve(2207,g,2006,a)]. 78.20/78.39 2208 -element(A,powerset(powerset(the_carrier(B)))) | f109(B,A) != f108(B,A) | in(f112(B,A,C),A) | -in(C,f110(B,A)) | -join_semilatt_str(B). [resolve(755,a,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f109(c9,A) != f108(c9,A) | in(f112(c9,A,B),A) | -in(B,f110(c9,A)). [resolve(2208,e,2006,a)]. 78.20/78.39 2209 -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(758,b,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f130(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | element(f134(c9,A,C,B),powerset(the_carrier(c9))) | in(C,f133(c9,A)). [resolve(2209,f,2006,a)]. 78.20/78.39 2210 -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(759,b,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f130(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | f134(c9,A,C,B) = B | in(C,f133(c9,A)). [resolve(2210,f,2006,a)]. 78.20/78.39 2211 -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(760,b,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f130(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f134(c9,A,C,B)) != C | in(C,f133(c9,A)). [resolve(2211,f,2006,a)]. 78.20/78.39 2212 -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -join_semilatt_str(B). [resolve(761,b,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f130(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(f135(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(B,f133(c9,A)). [resolve(2212,e,2006,a)]. 78.20/78.39 2213 -element(A,powerset(powerset(the_carrier(B)))) | in(f130(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(762,b,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f130(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f135(c9,A,C) | subset_complement(the_carrier(c9),B) = C | -in(C,f133(c9,A)). [resolve(2213,g,2006,a)]. 78.20/78.39 2214 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(763,b,560,b)]. 78.20/78.39 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f132(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | element(f134(c9,A,D,C),powerset(the_carrier(c9))) | in(D,f133(c9,A)). [resolve(2214,h,2006,a)]. 78.27/78.46 2215 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(764,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f132(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | f134(c9,A,D,C) = C | in(D,f133(c9,A)). [resolve(2215,h,2006,a)]. 78.27/78.46 2216 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(765,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f132(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f134(c9,A,D,C)) != D | in(D,f133(c9,A)). [resolve(2216,h,2006,a)]. 78.27/78.46 2217 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(766,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f132(c9,A) | in(f135(c9,A,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f133(c9,A)). [resolve(2217,g,2006,a)]. 78.27/78.46 2218 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f132(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(767,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f132(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f135(c9,A,D) | subset_complement(the_carrier(c9),C) = D | -in(D,f133(c9,A)). [resolve(2218,i,2006,a)]. 78.27/78.46 2219 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,E,D),powerset(the_carrier(B))) | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(768,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f131(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | element(f134(c9,A,D,C),powerset(the_carrier(c9))) | in(D,f133(c9,A)). [resolve(2219,h,2006,a)]. 78.27/78.46 2220 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | f134(B,A,E,D) = D | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(769,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f131(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | f134(c9,A,D,C) = C | in(D,f133(c9,A)). [resolve(2220,h,2006,a)]. 78.27/78.46 2221 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,E,D)) != E | in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(770,b,560,b)]. 78.27/78.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f131(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f134(c9,A,D,C)) != D | in(D,f133(c9,A)). [resolve(2221,h,2006,a)]. 78.34/78.51 2222 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | in(f135(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(771,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f131(c9,A) | in(f135(c9,A,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f133(c9,A)). [resolve(2222,g,2006,a)]. 78.34/78.51 2223 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f130(B,A) | subset_complement(the_carrier(B),C) = f131(B,A) | -element(D,powerset(the_carrier(B))) | D != f135(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f133(B,A)) | -join_semilatt_str(B). [resolve(772,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f130(c9,A) | subset_complement(the_carrier(c9),B) = f131(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f135(c9,A,D) | subset_complement(the_carrier(c9),C) = D | -in(D,f133(c9,A)). [resolve(2223,i,2006,a)]. 78.34/78.51 2224 -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f134(B,A,D,C),powerset(the_carrier(B))) | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(773,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f132(c9,A) != f131(c9,A) | -in(B,complements_of_subsets(the_carrier(c9),A)) | element(f134(c9,A,C,B),powerset(the_carrier(c9))) | in(C,f133(c9,A)). [resolve(2224,f,2006,a)]. 78.34/78.51 2225 -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | f134(B,A,D,C) = C | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(774,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f132(c9,A) != f131(c9,A) | -in(B,complements_of_subsets(the_carrier(c9),A)) | f134(c9,A,C,B) = B | in(C,f133(c9,A)). [resolve(2225,f,2006,a)]. 78.34/78.51 2226 -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f134(B,A,D,C)) != D | in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(775,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f132(c9,A) != f131(c9,A) | -in(B,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f134(c9,A,C,B)) != C | in(C,f133(c9,A)). [resolve(2226,f,2006,a)]. 78.34/78.51 2227 -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | in(f135(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f133(B,A)) | -join_semilatt_str(B). [resolve(776,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f132(c9,A) != f131(c9,A) | in(f135(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(B,f133(c9,A)). [resolve(2227,e,2006,a)]. 78.34/78.51 2228 -element(A,powerset(powerset(the_carrier(B)))) | f132(B,A) != f131(B,A) | -element(C,powerset(the_carrier(B))) | C != f135(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f133(B,A)) | -join_semilatt_str(B). [resolve(777,b,560,b)]. 78.34/78.51 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f132(c9,A) != f131(c9,A) | -element(B,powerset(the_carrier(c9))) | B != f135(c9,A,C) | subset_complement(the_carrier(c9),B) = C | -in(C,f133(c9,A)). [resolve(2228,g,2006,a)]. 78.34/78.51 2229 v3_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(778,a,560,b)]. 78.34/78.51 Derived: v3_membered(empty_carrier_subset(c9)). [resolve(2229,b,2006,a)]. 78.34/78.51 2230 v4_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(779,a,560,b)]. 78.34/78.51 Derived: v4_membered(empty_carrier_subset(c9)). [resolve(2230,b,2006,a)]. 78.34/78.51 2231 v5_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(780,a,560,b)]. 78.34/78.56 Derived: v5_membered(empty_carrier_subset(c9)). [resolve(2231,b,2006,a)]. 78.34/78.56 2232 v2_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(781,a,560,b)]. 78.34/78.56 Derived: v2_membered(empty_carrier_subset(c9)). [resolve(2232,b,2006,a)]. 78.34/78.56 2233 v1_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(782,a,560,b)]. 78.34/78.56 Derived: v1_membered(empty_carrier_subset(c9)). [resolve(2233,b,2006,a)]. 78.34/78.56 2234 empty(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(783,a,560,b)]. 78.34/78.56 Derived: empty(empty_carrier_subset(c9)). [resolve(2234,b,2006,a)]. 78.34/78.56 2235 -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -join_semilatt_str(B). [resolve(784,a,560,b)]. 78.34/78.56 Derived: -element(A,powerset(the_carrier(c9))) | subset_intersection2(the_carrier(c9),A,cast_as_carrier_subset(c9)) = A. [resolve(2235,c,2006,a)]. 78.34/78.56 2236 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(785,a,560,b)]. 78.34/78.56 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2236,i,2006,a)]. 78.34/78.56 2237 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(786,a,560,b)]. 78.34/78.56 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2237,i,2006,a)]. 78.34/78.56 2238 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(787,a,560,b)]. 78.34/78.56 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2238,i,2006,a)]. 78.34/78.56 2239 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(788,a,560,b)]. 78.34/78.56 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2239,e,2006,a)]. 78.34/78.56 2240 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(789,a,560,b)]. 78.34/78.56 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2240,e,2006,a)]. 78.34/78.56 2241 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(790,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2241,g,2006,a)]. 78.48/78.61 2242 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(791,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2242,e,2006,a)]. 78.48/78.61 2243 -element(A,powerset(powerset(the_carrier(B)))) | f166(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(792,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f166(c9,A,B) = f165(c9,A,B) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2243,e,2006,a)]. 78.48/78.61 2244 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(793,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2244,i,2006,a)]. 78.48/78.61 2245 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(794,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2245,i,2006,a)]. 78.48/78.61 2246 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(795,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2246,i,2006,a)]. 78.48/78.61 2247 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(796,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2247,e,2006,a)]. 78.48/78.61 2248 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(797,a,560,b)]. 78.48/78.61 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2248,e,2006,a)]. 78.51/78.66 2249 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(798,a,560,b)]. 78.51/78.66 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2249,g,2006,a)]. 78.51/78.66 2250 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(799,a,560,b)]. 78.51/78.66 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2250,e,2006,a)]. 78.51/78.66 2251 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f168(B,A,C),f169(B,A,C)) = f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(800,a,560,b)]. 78.51/78.66 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f168(c9,A,B),f169(c9,A,B)) = f166(c9,A,B) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2251,e,2006,a)]. 78.51/78.66 2252 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(801,a,560,b)]. 78.51/78.66 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | ordered_pair(E,F) != V6 | element(f173(c9,A,C,V6,D,E,F),powerset(the_carrier(c9))) | -in(E,complements_of_subsets(the_carrier(c9),A)) | D != V6 | in(V6,f172(c9,A,C)). [resolve(2252,k,2006,a)]. 78.51/78.66 2253 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(802,a,560,b)]. 78.51/78.66 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | ordered_pair(E,F) != V6 | f173(c9,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c9),A)) | D != V6 | in(V6,f172(c9,A,C)). [resolve(2253,k,2006,a)]. 78.51/78.66 2254 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(803,a,560,b)]. 78.51/78.66 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c9),f173(c9,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c9),A)) | D != V6 | in(V6,f172(c9,A,C)). [resolve(2254,k,2006,a)]. 78.51/78.72 2255 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(804,a,560,b)]. 78.51/78.72 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | in(f174(c9,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | -in(D,f172(c9,A,C)). [resolve(2255,g,2006,a)]. 78.51/78.72 2256 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(805,a,560,b)]. 78.51/78.72 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | ordered_pair(f175(c9,A,C,D),f176(c9,A,C,D)) = D | -in(D,f172(c9,A,C)). [resolve(2256,g,2006,a)]. 78.51/78.72 2257 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -join_semilatt_str(B). [resolve(806,a,560,b)]. 78.51/78.72 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | -element(D,powerset(the_carrier(c9))) | D != f175(c9,A,C,E) | subset_complement(the_carrier(c9),D) = f176(c9,A,C,E) | -in(E,f172(c9,A,C)). [resolve(2257,i,2006,a)]. 78.51/78.72 2258 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(807,a,560,b)]. 78.51/78.72 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | in(f175(c9,A,C,D),complements_of_subsets(the_carrier(c9),A)) | -in(D,f172(c9,A,C)). [resolve(2258,g,2006,a)]. 78.51/78.72 2259 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f168(B,A,D) | subset_complement(the_carrier(B),C) = f169(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(808,a,560,b)]. 78.51/78.72 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f168(c9,A,C) | subset_complement(the_carrier(c9),B) = f169(c9,A,C) | f174(c9,A,C,D) = D | -in(D,f172(c9,A,C)). [resolve(2259,g,2006,a)]. 78.51/78.72 2260 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(809,a,560,b)]. 78.51/78.72 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2260,i,2006,a)]. 78.51/78.72 2261 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(810,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2261,i,2006,a)]. 78.60/78.77 2262 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(811,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2262,i,2006,a)]. 78.60/78.77 2263 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(812,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2263,e,2006,a)]. 78.60/78.77 2264 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(813,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2264,e,2006,a)]. 78.60/78.77 2265 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(814,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2265,g,2006,a)]. 78.60/78.77 2266 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(815,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2266,e,2006,a)]. 78.60/78.77 2267 -element(A,powerset(powerset(the_carrier(B)))) | in(f168(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(816,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f168(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2267,e,2006,a)]. 78.60/78.77 2268 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(817,a,560,b)]. 78.60/78.77 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2268,i,2006,a)]. 78.65/78.83 2269 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(818,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2269,i,2006,a)]. 78.65/78.83 2270 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(819,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2270,i,2006,a)]. 78.65/78.83 2271 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(820,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2271,e,2006,a)]. 78.65/78.83 2272 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(821,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2272,e,2006,a)]. 78.65/78.83 2273 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(822,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2273,g,2006,a)]. 78.65/78.83 2274 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(823,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2274,e,2006,a)]. 78.65/78.83 2275 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f170(B,A,C),f171(B,A,C)) = f167(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(824,a,560,b)]. 78.65/78.83 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | ordered_pair(f170(c9,A,B),f171(c9,A,B)) = f167(c9,A,B) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2275,e,2006,a)]. 78.74/78.88 2276 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | element(f173(B,A,D,V7,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(825,a,560,b)]. 78.74/78.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | ordered_pair(E,F) != V6 | element(f173(c9,A,C,V6,D,E,F),powerset(the_carrier(c9))) | -in(E,complements_of_subsets(the_carrier(c9),A)) | D != V6 | in(V6,f172(c9,A,C)). [resolve(2276,k,2006,a)]. 78.74/78.88 2277 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | f173(B,A,D,V7,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(826,a,560,b)]. 78.74/78.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | ordered_pair(E,F) != V6 | f173(c9,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c9),A)) | D != V6 | in(V6,f172(c9,A,C)). [resolve(2277,k,2006,a)]. 78.74/78.88 2278 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | ordered_pair(F,V6) != V7 | subset_complement(the_carrier(B),f173(B,A,D,V7,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | E != V7 | in(V7,f172(B,A,D)) | -join_semilatt_str(B). [resolve(827,a,560,b)]. 78.74/78.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(c9),f173(c9,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c9),A)) | D != V6 | in(V6,f172(c9,A,C)). [resolve(2278,k,2006,a)]. 78.74/78.88 2279 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f174(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(828,a,560,b)]. 78.74/78.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | in(f174(c9,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | -in(D,f172(c9,A,C)). [resolve(2279,g,2006,a)]. 78.74/78.88 2280 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | ordered_pair(f175(B,A,D,E),f176(B,A,D,E)) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(829,a,560,b)]. 78.74/78.88 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | ordered_pair(f175(c9,A,C,D),f176(c9,A,C,D)) = D | -in(D,f172(c9,A,C)). [resolve(2280,g,2006,a)]. 78.74/78.88 2281 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f175(B,A,D,F) | subset_complement(the_carrier(B),E) = f176(B,A,D,F) | -in(F,f172(B,A,D)) | -join_semilatt_str(B). [resolve(830,a,560,b)]. 78.78/78.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | -element(D,powerset(the_carrier(c9))) | D != f175(c9,A,C,E) | subset_complement(the_carrier(c9),D) = f176(c9,A,C,E) | -in(E,f172(c9,A,C)). [resolve(2281,i,2006,a)]. 78.78/78.93 2282 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | in(f175(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(831,a,560,b)]. 78.78/78.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | in(f175(c9,A,C,D),complements_of_subsets(the_carrier(c9),A)) | -in(D,f172(c9,A,C)). [resolve(2282,g,2006,a)]. 78.78/78.93 2283 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f170(B,A,D) | subset_complement(the_carrier(B),C) = f171(B,A,D) | f174(B,A,D,E) = E | -in(E,f172(B,A,D)) | -join_semilatt_str(B). [resolve(832,a,560,b)]. 78.78/78.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f170(c9,A,C) | subset_complement(the_carrier(c9),B) = f171(c9,A,C) | f174(c9,A,C,D) = D | -in(D,f172(c9,A,C)). [resolve(2283,g,2006,a)]. 78.78/78.93 2284 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(833,a,560,b)]. 78.78/78.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2284,i,2006,a)]. 78.78/78.93 2285 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(834,a,560,b)]. 78.78/78.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2285,i,2006,a)]. 78.78/78.93 2286 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(835,a,560,b)]. 78.78/78.93 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2286,i,2006,a)]. 78.78/78.93 2287 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(836,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2287,e,2006,a)]. 78.81/78.98 2288 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(837,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2288,e,2006,a)]. 78.81/78.98 2289 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(838,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2289,g,2006,a)]. 78.81/78.98 2290 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(839,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2290,e,2006,a)]. 78.81/78.98 2291 -element(A,powerset(powerset(the_carrier(B)))) | in(f170(B,A,C),complements_of_subsets(the_carrier(B),A)) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(840,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f170(c9,A,B),complements_of_subsets(the_carrier(c9),A)) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2291,e,2006,a)]. 78.81/78.98 2292 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(841,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2292,i,2006,a)]. 78.81/78.98 2293 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(842,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2293,i,2006,a)]. 78.81/78.98 2294 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(843,a,560,b)]. 78.81/78.98 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2294,i,2006,a)]. 78.90/79.04 2295 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(844,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2295,e,2006,a)]. 78.90/79.04 2296 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(845,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2296,e,2006,a)]. 78.90/79.04 2297 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(846,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2297,g,2006,a)]. 78.90/79.04 2298 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(847,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2298,e,2006,a)]. 78.90/79.04 2299 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) = f165(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(848,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) = f165(c9,A,B) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2299,e,2006,a)]. 78.90/79.04 2300 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | element(f173(B,A,C,V6,D,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(849,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | element(f173(c9,A,B,F,C,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2300,i,2006,a)]. 78.90/79.04 2301 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | f173(B,A,C,V6,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(850,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | f173(c9,A,B,F,C,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2301,i,2006,a)]. 78.90/79.04 2302 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | ordered_pair(E,F) != V6 | subset_complement(the_carrier(B),f173(B,A,C,V6,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | D != V6 | in(V6,f172(B,A,C)) | -join_semilatt_str(B). [resolve(851,a,560,b)]. 78.90/79.04 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | ordered_pair(D,E) != F | subset_complement(the_carrier(c9),f173(c9,A,B,F,C,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | C != F | in(F,f172(c9,A,B)). [resolve(2302,i,2006,a)]. 78.95/79.10 2303 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f174(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(852,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | in(f174(c9,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c9),A),B)) | -in(C,f172(c9,A,B)). [resolve(2303,e,2006,a)]. 78.95/79.10 2304 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | ordered_pair(f175(B,A,C,D),f176(B,A,C,D)) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(853,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | ordered_pair(f175(c9,A,B,C),f176(c9,A,B,C)) = C | -in(C,f172(c9,A,B)). [resolve(2304,e,2006,a)]. 78.95/79.10 2305 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f175(B,A,C,E) | subset_complement(the_carrier(B),D) = f176(B,A,C,E) | -in(E,f172(B,A,C)) | -join_semilatt_str(B). [resolve(854,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | -element(C,powerset(the_carrier(c9))) | C != f175(c9,A,B,D) | subset_complement(the_carrier(c9),C) = f176(c9,A,B,D) | -in(D,f172(c9,A,B)). [resolve(2305,g,2006,a)]. 78.95/79.10 2306 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | in(f175(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(855,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | in(f175(c9,A,B,C),complements_of_subsets(the_carrier(c9),A)) | -in(C,f172(c9,A,B)). [resolve(2306,e,2006,a)]. 78.95/79.10 2307 -element(A,powerset(powerset(the_carrier(B)))) | f167(B,A,C) != f166(B,A,C) | f174(B,A,C,D) = D | -in(D,f172(B,A,C)) | -join_semilatt_str(B). [resolve(856,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f167(c9,A,B) != f166(c9,A,B) | f174(c9,A,B,C) = C | -in(C,f172(c9,A,B)). [resolve(2307,e,2006,a)]. 78.95/79.10 2308 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(857,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | relation(f202(c9,A)). [resolve(2308,f,2006,a)]. 78.95/79.10 2309 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(858,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | -in(ordered_pair(C,D),f202(c9,A)) | in(C,complements_of_subsets(the_carrier(c9),A)). [resolve(2309,g,2006,a)]. 78.95/79.10 2310 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(859,a,560,b)]. 78.95/79.10 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | -in(ordered_pair(C,D),f202(c9,A)) | -element(E,powerset(the_carrier(c9))) | E != C | subset_complement(the_carrier(c9),E) = D. [resolve(2310,i,2006,a)]. 78.95/79.10 2311 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(860,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | in(ordered_pair(C,D),f202(c9,A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | element(f203(c9,A,C,D),powerset(the_carrier(c9))). [resolve(2311,h,2006,a)]. 78.95/79.16 2312 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -join_semilatt_str(B). [resolve(861,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | in(ordered_pair(C,D),f202(c9,A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | f203(c9,A,C,D) = C. [resolve(2312,h,2006,a)]. 78.95/79.16 2313 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(862,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | in(ordered_pair(C,D),f202(c9,A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f203(c9,A,C,D)) != D. [resolve(2313,h,2006,a)]. 78.95/79.16 2314 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f200(B,A) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(863,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f200(c9,A) | function(f202(c9,A)). [resolve(2314,f,2006,a)]. 78.95/79.16 2315 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(864,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | relation(f202(c9,A)). [resolve(2315,f,2006,a)]. 78.95/79.16 2316 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(865,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | -in(ordered_pair(C,D),f202(c9,A)) | in(C,complements_of_subsets(the_carrier(c9),A)). [resolve(2316,g,2006,a)]. 78.95/79.16 2317 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | -in(ordered_pair(D,E),f202(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(866,a,560,b)]. 78.95/79.16 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | -in(ordered_pair(C,D),f202(c9,A)) | -element(E,powerset(the_carrier(c9))) | E != C | subset_complement(the_carrier(c9),E) = D. [resolve(2317,i,2006,a)]. 78.95/79.16 2318 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(867,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | in(ordered_pair(C,D),f202(c9,A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | element(f203(c9,A,C,D),powerset(the_carrier(c9))). [resolve(2318,h,2006,a)]. 79.05/79.22 2319 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f203(B,A,D,E) = D | -join_semilatt_str(B). [resolve(868,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | in(ordered_pair(C,D),f202(c9,A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | f203(c9,A,C,D) = C. [resolve(2319,h,2006,a)]. 79.05/79.22 2320 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | in(ordered_pair(D,E),f202(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(869,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | in(ordered_pair(C,D),f202(c9,A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f203(c9,A,C,D)) != D. [resolve(2320,h,2006,a)]. 79.05/79.22 2321 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f199(B,A) | subset_complement(the_carrier(B),C) = f201(B,A) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(870,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -element(B,powerset(the_carrier(c9))) | B != f199(c9,A) | subset_complement(the_carrier(c9),B) = f201(c9,A) | function(f202(c9,A)). [resolve(2321,f,2006,a)]. 79.05/79.22 2322 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(871,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | relation(f202(c9,A)). [resolve(2322,d,2006,a)]. 79.05/79.22 2323 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(872,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(ordered_pair(B,C),f202(c9,A)) | in(B,complements_of_subsets(the_carrier(c9),A)). [resolve(2323,e,2006,a)]. 79.05/79.22 2324 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(873,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(ordered_pair(B,C),f202(c9,A)) | -element(D,powerset(the_carrier(c9))) | D != B | subset_complement(the_carrier(c9),D) = C. [resolve(2324,g,2006,a)]. 79.05/79.22 2325 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(874,a,560,b)]. 79.05/79.22 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(ordered_pair(B,C),f202(c9,A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | element(f203(c9,A,B,C),powerset(the_carrier(c9))). [resolve(2325,f,2006,a)]. 79.11/79.28 2326 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -join_semilatt_str(B). [resolve(875,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(ordered_pair(B,C),f202(c9,A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | f203(c9,A,B,C) = B. [resolve(2326,f,2006,a)]. 79.11/79.28 2327 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(876,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(ordered_pair(B,C),f202(c9,A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f203(c9,A,B,C)) != C. [resolve(2327,f,2006,a)]. 79.11/79.28 2328 -element(A,powerset(powerset(the_carrier(B)))) | in(f199(B,A),complements_of_subsets(the_carrier(B),A)) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(877,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f199(c9,A),complements_of_subsets(the_carrier(c9),A)) | function(f202(c9,A)). [resolve(2328,d,2006,a)]. 79.11/79.28 2329 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | relation(f202(B,A)) | -join_semilatt_str(B). [resolve(878,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | relation(f202(c9,A)). [resolve(2329,d,2006,a)]. 79.11/79.28 2330 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(879,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | -in(ordered_pair(B,C),f202(c9,A)) | in(B,complements_of_subsets(the_carrier(c9),A)). [resolve(2330,e,2006,a)]. 79.11/79.28 2331 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | -in(ordered_pair(C,D),f202(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(880,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | -in(ordered_pair(B,C),f202(c9,A)) | -element(D,powerset(the_carrier(c9))) | D != B | subset_complement(the_carrier(c9),D) = C. [resolve(2331,g,2006,a)]. 79.11/79.28 2332 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f203(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(881,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | in(ordered_pair(B,C),f202(c9,A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | element(f203(c9,A,B,C),powerset(the_carrier(c9))). [resolve(2332,f,2006,a)]. 79.11/79.28 2333 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f203(B,A,C,D) = C | -join_semilatt_str(B). [resolve(882,a,560,b)]. 79.11/79.28 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | in(ordered_pair(B,C),f202(c9,A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | f203(c9,A,B,C) = B. [resolve(2333,f,2006,a)]. 79.11/79.28 2334 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | in(ordered_pair(C,D),f202(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f203(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(883,a,560,b)]. 79.18/79.35 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | in(ordered_pair(B,C),f202(c9,A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | subset_complement(the_carrier(c9),f203(c9,A,B,C)) != C. [resolve(2334,f,2006,a)]. 79.18/79.35 2335 -element(A,powerset(powerset(the_carrier(B)))) | f201(B,A) != f200(B,A) | function(f202(B,A)) | -join_semilatt_str(B). [resolve(884,a,560,b)]. 79.18/79.35 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f201(c9,A) != f200(c9,A) | function(f202(c9,A)). [resolve(2335,d,2006,a)]. 79.18/79.35 2336 empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -join_semilatt_str(A). [resolve(885,a,560,b)]. 79.18/79.35 Derived: empty_carrier(c9) | -empty(cast_as_carrier_subset(c9)). [resolve(2336,c,2006,a)]. 79.18/79.35 2337 empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B) | -join_semilatt_str(A). [resolve(886,b,560,b)]. 79.18/79.35 Derived: empty_carrier(c9) | -element(A,powerset(the_carrier(c9))) | -element(B,the_carrier(c9)) | -in(B,subset_complement(the_carrier(c9),A)) | -in(B,A). [resolve(2337,f,2006,a)]. 79.18/79.35 2338 empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B) | -join_semilatt_str(A). [resolve(887,b,560,b)]. 79.18/79.35 Derived: empty_carrier(c9) | -element(A,powerset(the_carrier(c9))) | -element(B,the_carrier(c9)) | in(B,subset_complement(the_carrier(c9),A)) | in(B,A). [resolve(2338,f,2006,a)]. 79.18/79.35 2339 -element(A,powerset(the_carrier(B))) | subset_difference(the_carrier(B),cast_as_carrier_subset(B),subset_difference(the_carrier(B),cast_as_carrier_subset(B),A)) = A | -join_semilatt_str(B). [resolve(888,a,560,b)]. 79.18/79.35 Derived: -element(A,powerset(the_carrier(c9))) | subset_difference(the_carrier(c9),cast_as_carrier_subset(c9),subset_difference(the_carrier(c9),cast_as_carrier_subset(c9),A)) = A. [resolve(2339,c,2006,a)]. 79.18/79.35 2340 -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -join_semilatt_str(B). [resolve(890,a,560,b)]. 79.18/79.35 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -finite(complements_of_subsets(the_carrier(c9),A)) | finite(A). [resolve(2340,d,2006,a)]. 79.18/79.35 2341 -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -join_semilatt_str(B). [resolve(891,a,560,b)]. 79.18/79.35 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | finite(complements_of_subsets(the_carrier(c9),A)) | -finite(A). [resolve(2341,d,2006,a)]. 79.18/79.35 2342 empty(the_carrier(A)) | -empty_carrier(A) | -join_semilatt_str(A). [resolve(893,a,560,b)]. 79.18/79.35 Derived: empty(the_carrier(c9)) | -empty_carrier(c9). [resolve(2342,c,2006,a)]. 79.18/79.35 2343 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(895,b,560,b)]. 79.18/79.35 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | relation(f313(c9,A)). [resolve(2343,e,2006,a)]. 79.18/79.35 2344 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(896,b,560,b)]. 79.18/79.35 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2344,h,2006,a)]. 79.18/79.35 2345 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(897,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2345,e,2006,a)]. 79.24/79.40 2346 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(898,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | function(f313(c9,A)). [resolve(2346,e,2006,a)]. 79.24/79.40 2347 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(899,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | relation(f313(c9,A)). [resolve(2347,g,2006,a)]. 79.24/79.40 2348 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(900,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | -in(D,complements_of_subsets(the_carrier(c9),A)) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f313(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2348,j,2006,a)]. 79.24/79.40 2349 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(901,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2349,g,2006,a)]. 79.24/79.40 2350 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(902,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | function(f313(c9,A)). [resolve(2350,g,2006,a)]. 79.24/79.40 2351 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(903,b,560,b)]. 79.24/79.40 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | relation(f313(c9,A)). [resolve(2351,g,2006,a)]. 79.24/79.40 2352 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(904,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | -in(D,complements_of_subsets(the_carrier(c9),A)) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f313(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2352,j,2006,a)]. 79.32/79.46 2353 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(905,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2353,g,2006,a)]. 79.32/79.46 2354 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(906,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | function(f313(c9,A)). [resolve(2354,g,2006,a)]. 79.32/79.46 2355 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(907,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | f312(c9,A) != f311(c9,A) | relation(f313(c9,A)). [resolve(2355,e,2006,a)]. 79.32/79.46 2356 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(908,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | f312(c9,A) != f311(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2356,h,2006,a)]. 79.32/79.46 2357 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(909,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | f312(c9,A) != f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2357,e,2006,a)]. 79.32/79.46 2358 -element(A,powerset(powerset(the_carrier(B)))) | element(f309(B,A,C),powerset(the_carrier(B))) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(910,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | element(f309(c9,A,B),powerset(the_carrier(c9))) | f312(c9,A) != f311(c9,A) | function(f313(c9,A)). [resolve(2358,e,2006,a)]. 79.32/79.46 2359 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(911,b,560,b)]. 79.32/79.46 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | relation(f313(c9,A)). [resolve(2359,e,2006,a)]. 79.40/79.53 2360 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(912,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2360,h,2006,a)]. 79.40/79.53 2361 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(913,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2361,e,2006,a)]. 79.40/79.53 2362 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(914,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | function(f313(c9,A)). [resolve(2362,e,2006,a)]. 79.40/79.53 2363 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(915,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | relation(f313(c9,A)). [resolve(2363,g,2006,a)]. 79.40/79.53 2364 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(916,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | -in(D,complements_of_subsets(the_carrier(c9),A)) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f313(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2364,j,2006,a)]. 79.40/79.53 2365 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(917,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2365,g,2006,a)]. 79.40/79.53 2366 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(918,b,560,b)]. 79.40/79.53 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | function(f313(c9,A)). [resolve(2366,g,2006,a)]. 79.40/79.53 2367 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(919,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | relation(f313(c9,A)). [resolve(2367,g,2006,a)]. 79.41/79.59 2368 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(920,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | -in(D,complements_of_subsets(the_carrier(c9),A)) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f313(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2368,j,2006,a)]. 79.41/79.59 2369 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(921,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2369,g,2006,a)]. 79.41/79.59 2370 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(922,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | function(f313(c9,A)). [resolve(2370,g,2006,a)]. 79.41/79.59 2371 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(923,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | f312(c9,A) != f311(c9,A) | relation(f313(c9,A)). [resolve(2371,e,2006,a)]. 79.41/79.59 2372 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(924,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | f312(c9,A) != f311(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2372,h,2006,a)]. 79.41/79.59 2373 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(925,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | f312(c9,A) != f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2373,e,2006,a)]. 79.41/79.59 2374 -element(A,powerset(powerset(the_carrier(B)))) | f309(B,A,C) = f308(B,A) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(926,b,560,b)]. 79.41/79.59 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | f309(c9,A,B) = f308(c9,A) | f312(c9,A) != f311(c9,A) | function(f313(c9,A)). [resolve(2374,e,2006,a)]. 79.41/79.59 2375 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(927,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | relation(f313(c9,A)). [resolve(2375,e,2006,a)]. 79.48/79.64 2376 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(928,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2376,h,2006,a)]. 79.48/79.64 2377 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(929,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2377,e,2006,a)]. 79.48/79.64 2378 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(930,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | function(f313(c9,A)). [resolve(2378,e,2006,a)]. 79.48/79.64 2379 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(931,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | relation(f313(c9,A)). [resolve(2379,g,2006,a)]. 79.48/79.64 2380 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(932,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | -in(D,complements_of_subsets(the_carrier(c9),A)) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f313(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2380,j,2006,a)]. 79.48/79.64 2381 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(933,b,560,b)]. 79.48/79.64 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2381,g,2006,a)]. 79.48/79.64 2382 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(934,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f312(c9,A) | function(f313(c9,A)). [resolve(2382,g,2006,a)]. 79.55/79.69 2383 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(935,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | relation(f313(c9,A)). [resolve(2383,g,2006,a)]. 79.55/79.69 2384 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f313(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(936,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | -in(D,complements_of_subsets(the_carrier(c9),A)) | -element(E,powerset(the_carrier(c9))) | E != D | apply(f313(c9,A),D) = subset_complement(the_carrier(c9),E). [resolve(2384,j,2006,a)]. 79.55/79.69 2385 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(937,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2385,g,2006,a)]. 79.55/79.69 2386 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | -element(D,powerset(the_carrier(B))) | D != f310(B,A) | subset_complement(the_carrier(B),D) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(938,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | -element(C,powerset(the_carrier(c9))) | C != f310(c9,A) | subset_complement(the_carrier(c9),C) = f311(c9,A) | function(f313(c9,A)). [resolve(2386,g,2006,a)]. 79.55/79.69 2387 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(939,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | f312(c9,A) != f311(c9,A) | relation(f313(c9,A)). [resolve(2387,e,2006,a)]. 79.55/79.69 2388 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(940,b,560,b)]. 79.55/79.69 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | f312(c9,A) != f311(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2388,h,2006,a)]. 79.55/79.74 2389 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(941,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | f312(c9,A) != f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2389,e,2006,a)]. 79.55/79.74 2390 -element(A,powerset(powerset(the_carrier(B)))) | subset_complement(the_carrier(B),f309(B,A,C)) != C | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(942,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | subset_complement(the_carrier(c9),f309(c9,A,B)) != B | f312(c9,A) != f311(c9,A) | function(f313(c9,A)). [resolve(2390,e,2006,a)]. 79.55/79.74 2391 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(943,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | relation(f313(c9,A)). [resolve(2391,e,2006,a)]. 79.55/79.74 2392 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(944,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | -in(B,complements_of_subsets(the_carrier(c9),A)) | -element(C,powerset(the_carrier(c9))) | C != B | apply(f313(c9,A),B) = subset_complement(the_carrier(c9),C). [resolve(2392,h,2006,a)]. 79.55/79.74 2393 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(945,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2393,e,2006,a)]. 79.55/79.74 2394 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | in(f310(B,A),complements_of_subsets(the_carrier(B),A)) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(946,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | in(f310(c9,A),complements_of_subsets(the_carrier(c9),A)) | function(f313(c9,A)). [resolve(2394,e,2006,a)]. 79.55/79.74 2395 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(947,b,560,b)]. 79.55/79.74 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f312(c9,A) | relation(f313(c9,A)). [resolve(2395,g,2006,a)]. 79.55/79.74 2396 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(948,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f312(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2396,j,2006,a)]. 79.67/79.80 2397 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(949,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f312(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2397,g,2006,a)]. 79.67/79.80 2398 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f312(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(950,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f312(c9,A) | function(f313(c9,A)). [resolve(2398,g,2006,a)]. 79.67/79.80 2399 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(951,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f311(c9,A) | relation(f313(c9,A)). [resolve(2399,g,2006,a)]. 79.67/79.80 2400 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f313(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(952,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f311(c9,A) | -in(C,complements_of_subsets(the_carrier(c9),A)) | -element(D,powerset(the_carrier(c9))) | D != C | apply(f313(c9,A),C) = subset_complement(the_carrier(c9),D). [resolve(2400,j,2006,a)]. 79.67/79.80 2401 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(953,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2401,g,2006,a)]. 79.67/79.80 2402 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f310(B,A) | subset_complement(the_carrier(B),C) = f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(954,b,560,b)]. 79.67/79.80 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | -element(B,powerset(the_carrier(c9))) | B != f310(c9,A) | subset_complement(the_carrier(c9),B) = f311(c9,A) | function(f313(c9,A)). [resolve(2402,g,2006,a)]. 80.10/80.26 2403 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | relation(f313(B,A)) | -join_semilatt_str(B). [resolve(955,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | f312(c9,A) != f311(c9,A) | relation(f313(c9,A)). [resolve(2403,e,2006,a)]. 80.10/80.26 2404 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | -in(C,complements_of_subsets(the_carrier(B),A)) | -element(D,powerset(the_carrier(B))) | D != C | apply(f313(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(956,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | f312(c9,A) != f311(c9,A) | -in(B,complements_of_subsets(the_carrier(c9),A)) | -element(C,powerset(the_carrier(c9))) | C != B | apply(f313(c9,A),B) = subset_complement(the_carrier(c9),C). [resolve(2404,h,2006,a)]. 80.10/80.26 2405 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f313(B,A)) | -join_semilatt_str(B). [resolve(957,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | f312(c9,A) != f311(c9,A) | complements_of_subsets(the_carrier(c9),A) = relation_dom(f313(c9,A)). [resolve(2405,e,2006,a)]. 80.10/80.26 2406 -element(A,powerset(powerset(the_carrier(B)))) | in(f308(B,A),complements_of_subsets(the_carrier(B),A)) | f312(B,A) != f311(B,A) | function(f313(B,A)) | -join_semilatt_str(B). [resolve(958,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(f308(c9,A),complements_of_subsets(the_carrier(c9),A)) | f312(c9,A) != f311(c9,A) | function(f313(c9,A)). [resolve(2406,e,2006,a)]. 80.10/80.26 2407 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(960,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f350(c9,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)). [resolve(2407,d,2006,a)]. 80.10/80.26 2408 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f351(B,A,D,C) | subset_complement(the_carrier(B),E) = f352(B,A,D,C) | -join_semilatt_str(B). [resolve(961,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f350(c9,A,C)) | -element(D,powerset(the_carrier(c9))) | D != f351(c9,A,C,B) | subset_complement(the_carrier(c9),D) = f352(c9,A,C,B). [resolve(2408,f,2006,a)]. 80.10/80.26 2409 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | in(f351(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(962,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f350(c9,A,C)) | in(f351(c9,A,C,B),complements_of_subsets(the_carrier(c9),A)). [resolve(2409,d,2006,a)]. 80.10/80.26 2410 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f350(B,A,D)) | ordered_pair(f351(B,A,D,C),f352(B,A,D,C)) = C | -join_semilatt_str(B). [resolve(963,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f350(c9,A,C)) | ordered_pair(f351(c9,A,C,B),f352(c9,A,C,B)) = B. [resolve(2410,d,2006,a)]. 80.10/80.26 2411 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f353(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -join_semilatt_str(B). [resolve(964,b,560,b)]. 80.10/80.26 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(B,f350(c9,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | element(f353(c9,A,C,B,D,E),powerset(the_carrier(c9))) | -in(D,complements_of_subsets(the_carrier(c9),A)) | ordered_pair(D,E) != B. [resolve(2411,g,2006,a)]. 80.10/80.30 2412 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f353(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -join_semilatt_str(B). [resolve(965,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(B,f350(c9,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | f353(c9,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c9),A)) | ordered_pair(D,E) != B. [resolve(2412,g,2006,a)]. 80.10/80.30 2413 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f350(B,A,D)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f353(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | ordered_pair(E,F) != C | -join_semilatt_str(B). [resolve(966,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(B,f350(c9,A,C)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c9),A),C)) | subset_complement(the_carrier(c9),f353(c9,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c9),A)) | ordered_pair(D,E) != B. [resolve(2413,g,2006,a)]. 80.10/80.30 2414 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | ordered_pair(f377(B,A,D,C),f378(B,A,D,C)) = C | -join_semilatt_str(B). [resolve(967,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f376(c9,A,C)) | ordered_pair(f377(c9,A,C,B),f378(c9,A,C,B)) = B. [resolve(2414,d,2006,a)]. 80.10/80.30 2415 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f377(B,A,D,C) | subset_complement(the_carrier(B),E) = f378(B,A,D,C) | -join_semilatt_str(B). [resolve(968,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f376(c9,A,C)) | -element(D,powerset(the_carrier(c9))) | D != f377(c9,A,C,B) | subset_complement(the_carrier(c9),D) = f378(c9,A,C,B). [resolve(2415,f,2006,a)]. 80.10/80.30 2416 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(f377(B,A,D,C),A) | -join_semilatt_str(B). [resolve(969,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f376(c9,A,C)) | in(f377(c9,A,C,B),A). [resolve(2416,d,2006,a)]. 80.10/80.30 2417 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f376(B,A,D)) | in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(970,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | -in(B,f376(c9,A,C)) | in(B,cartesian_product2(A,C)). [resolve(2417,d,2006,a)]. 80.10/80.30 2418 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | element(f379(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(971,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(B,f376(c9,A,C)) | ordered_pair(D,E) != B | element(f379(c9,A,C,B,D,E),powerset(the_carrier(c9))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(2418,g,2006,a)]. 80.10/80.30 2419 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | f379(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(972,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(B,f376(c9,A,C)) | ordered_pair(D,E) != B | f379(c9,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(2419,g,2006,a)]. 80.10/80.30 2420 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f376(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f379(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -join_semilatt_str(B). [resolve(973,b,560,b)]. 80.10/80.30 Derived: -element(A,powerset(powerset(the_carrier(c9)))) | in(B,f376(c9,A,C)) | ordered_pair(D,E) Alarm clock 119.89/120.05 Prover9 interrupted 119.89/120.05 EOF