0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.32 % Computer : n009.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1200 0.10/0.32 % DateTime : Tue Jul 13 17:12:57 EDT 2021 0.10/0.32 % CPUTime : 1.72/2.02 ============================== Prover9 =============================== 1.72/2.02 Prover9 (32) version 2009-11A, November 2009. 1.72/2.02 Process 28906 was started by sandbox on n009.cluster.edu, 1.72/2.02 Tue Jul 13 17:12:59 2021 1.72/2.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_28705_n009.cluster.edu". 1.72/2.02 ============================== end of head =========================== 1.72/2.02 1.72/2.02 ============================== INPUT ================================= 1.72/2.02 1.72/2.02 % Reading from file /tmp/Prover9_28705_n009.cluster.edu 1.72/2.02 1.72/2.02 set(prolog_style_variables). 1.72/2.02 set(auto2). 1.72/2.02 % set(auto2) -> set(auto). 1.72/2.02 % set(auto) -> set(auto_inference). 1.72/2.02 % set(auto) -> set(auto_setup). 1.72/2.02 % set(auto_setup) -> set(predicate_elim). 1.72/2.02 % set(auto_setup) -> assign(eq_defs, unfold). 1.72/2.02 % set(auto) -> set(auto_limits). 1.72/2.02 % set(auto_limits) -> assign(max_weight, "100.000"). 1.72/2.02 % set(auto_limits) -> assign(sos_limit, 20000). 1.72/2.02 % set(auto) -> set(auto_denials). 1.72/2.02 % set(auto) -> set(auto_process). 1.72/2.02 % set(auto2) -> assign(new_constants, 1). 1.72/2.02 % set(auto2) -> assign(fold_denial_max, 3). 1.72/2.02 % set(auto2) -> assign(max_weight, "200.000"). 1.72/2.02 % set(auto2) -> assign(max_hours, 1). 1.72/2.02 % assign(max_hours, 1) -> assign(max_seconds, 3600). 1.72/2.02 % set(auto2) -> assign(max_seconds, 0). 1.72/2.02 % set(auto2) -> assign(max_minutes, 5). 1.72/2.02 % assign(max_minutes, 5) -> assign(max_seconds, 300). 1.72/2.02 % set(auto2) -> set(sort_initial_sos). 1.72/2.02 % set(auto2) -> assign(sos_limit, -1). 1.72/2.02 % set(auto2) -> assign(lrs_ticks, 3000). 1.72/2.02 % set(auto2) -> assign(max_megs, 400). 1.72/2.02 % set(auto2) -> assign(stats, some). 1.72/2.02 % set(auto2) -> clear(echo_input). 1.72/2.02 % set(auto2) -> set(quiet). 1.72/2.02 % set(auto2) -> clear(print_initial_clauses). 1.72/2.02 % set(auto2) -> clear(print_given). 1.72/2.02 assign(lrs_ticks,-1). 1.72/2.02 assign(sos_limit,10000). 1.72/2.02 assign(order,kbo). 1.72/2.02 set(lex_order_vars). 1.72/2.02 clear(print_given). 1.72/2.02 1.72/2.02 % formulas(sos). % not echoed (655 formulas) 1.72/2.02 1.72/2.02 ============================== end of input ========================== 1.72/2.02 1.72/2.02 % From the command line: assign(max_seconds, 1200). 1.72/2.02 1.72/2.02 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 1.72/2.02 1.72/2.02 % Formulas that are not ordinary clauses: 1.72/2.02 1 (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]. 1.72/2.02 2 (all A all B (v5_membered(A) -> v5_membered(set_intersection2(B,A)) & v4_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)) & v2_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc36_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.02 3 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> (all C ((all D all E all F (E = D & F = D & (exists J exists K ((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)) & ordered_pair(J,K) = F)) & (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)))) -> F = E)) -> (exists D all E (in(E,D) <-> (exists F (in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) & (exists M exists N ((all O (element(O,powerset(the_carrier(A))) -> (M = O -> N = subset_complement(the_carrier(A),O)))) & in(M,complements_of_subsets(the_carrier(A),B)) & E = ordered_pair(M,N))) & E = F)))))))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.02 4 (all A all B (subset(A,B) -> A = set_intersection2(A,B))) # label(t28_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.02 5 (all A (-empty_carrier(A) & meet_semilatt_str(A) -> (lower_bounded_semilattstr(A) -> (all B (element(B,the_carrier(A)) -> ((all C (element(C,the_carrier(A)) -> B = meet(A,B,C) & meet(A,C,B) = B)) <-> B = bottom_of_semilattstr(A))))))) # label(d16_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.02 6 (all A all B all C (relation_of2_as_subset(C,A,B) -> (empty_set = B -> (C = empty_set <-> quasi_total(C,A,B)) | empty_set = A) & ((empty_set = B -> empty_set = A) -> (quasi_total(C,A,B) <-> A = relation_dom_as_subset(A,B,C))))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 7 (all A (top_str(A) -> ((all B (element(B,powerset(powerset(the_carrier(A)))) -> -(open_subsets(B,A) & (all C (element(C,powerset(powerset(the_carrier(A)))) -> -(is_a_cover_of_carrier(A,C) & finite(C) & subset(C,B)))) & is_a_cover_of_carrier(A,B)))) <-> compact_top_space(A)))) # label(d3_compts_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 8 (all A (latt_str(A) -> (-empty_carrier(A) & lattice(A) -> -empty_carrier(A) & join_commutative(A) & meet_commutative(A) & meet_absorbing(A) & join_absorbing(A) & meet_associative(A) & join_associative(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 9 (all A all B (v4_membered(A) -> v3_membered(set_intersection2(A,B)) & v4_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)) & v1_membered(set_intersection2(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 10 (all A (relation(A) & -empty(A) -> -empty(relation_dom(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 11 (all A (relation(A) -> (all B (is_transitive_in(A,B) <-> (all C all D all E (in(ordered_pair(D,E),A) & in(ordered_pair(C,D),A) & in(E,B) & in(D,B) & in(C,B) -> in(ordered_pair(C,E),A))))))) # label(d8_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 12 (all A all B (element(B,powerset(the_carrier(A))) & open_subset(B,A) & top_str(A) & topological_space(A) -> closed_subset(subset_complement(the_carrier(A),B),A))) # label(fc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 13 (all A (meet_semilatt_str(A) & -empty_carrier(A) -> (lower_bounded_semilattstr(A) <-> (exists B (element(B,the_carrier(A)) & (all C (element(C,the_carrier(A)) -> meet(A,B,C) = B & meet(A,C,B) = B))))))) # label(d13_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 14 (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 -> 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)) -> D = E)) -> (exists C (relation(C) & (all D all E (in(ordered_pair(D,E),C) <-> 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))) & in(D,complements_of_subsets(the_carrier(A),B)))) & function(C)))))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 15 (all A (relation(A) -> (all B (relation(B) -> ((all C all D (in(ordered_pair(C,D),B) <-> in(ordered_pair(D,C),A))) <-> B = relation_inverse(A)))))) # label(d7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 16 (all A empty_set = set_intersection2(A,empty_set)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 17 (exists A (function(A) & empty(A) & one_to_one(A) & relation(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 18 (exists A (epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A) & -empty(A))) # label(rc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 19 (all A all B (disjoint(A,B) <-> set_intersection2(A,B) = empty_set)) # label(d7_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 20 (all A (relation(A) -> (connected(A) <-> is_connected_in(A,relation_field(A))))) # label(d14_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 21 (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]. 1.72/2.03 22 (all A ((all B all C all D (in(B,A) & D = singleton(B) & in(B,A) & singleton(B) = C -> C = D)) -> (exists B ((all C all D (in(C,A) & in(C,A) & D = singleton(C) <-> in(ordered_pair(C,D),B))) & function(B) & relation(B))))) # label(s1_funct_1__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 23 (all A all B (ordinal(A) & ordinal(B) -> ordinal_subset(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 24 (all A all B all C (meet_absorbing(A) & join_absorbing(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & latt_str(A) & meet_commutative(A) & -empty_carrier(A) -> below_refl(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 25 (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]. 1.72/2.03 26 (all A all B -(in(A,B) & disjoint(singleton(A),B))) # label(l25_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 27 (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]. 1.72/2.03 28 (all A all B (relation(B) -> (all C (relation(C) -> ((all D all E (in(ordered_pair(D,E),C) <-> in(ordered_pair(D,E),B) & in(E,A))) <-> relation_rng_restriction(A,B) = C))))) # label(d12_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 29 (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]. 1.72/2.03 30 (all A (-empty_carrier(A) & latt_str(A) & lattice(A) -> relation(relation_of_lattice(A)))) # label(dt_k9_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 31 (all A (relation(A) -> (empty_set = relation_rng(A) <-> empty_set = relation_dom(A)))) # label(t65_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 32 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & finite(B) & -empty(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 33 (all A all B (relation(B) & relation(A) -> relation(relation_composition(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 34 (all A (relation(A) -> (reflexive(A) <-> is_reflexive_in(A,relation_field(A))))) # label(d9_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 35 (all A all B -proper_subset(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 36 (all A all B (v3_membered(A) -> v1_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)))) # label(fc31_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 37 (all A all B all C all D (relation_of2_as_subset(D,A,B) & quasi_total(D,A,B) & function(D) -> (subset(B,C) -> B = empty_set & A != empty_set | function(D) & quasi_total(D,A,C) & relation_of2_as_subset(D,A,C)))) # label(t9_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 38 (all A all B all C all D ((all E (in(E,D) <-> -(B != E & E != C & E != A))) <-> D = unordered_triple(A,B,C))) # label(d1_enumset1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 39 (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]. 1.72/2.03 40 (all A all B (element(B,powerset(powerset(succ(A)))) & ordinal(A) -> ((all C all D all E ((exists F (in(F,B) & set_difference(F,singleton(A)) = D)) & (exists G (in(G,B) & E = set_difference(G,singleton(A)))) & C = E & D = C -> D = E)) -> (exists C all D ((exists E (in(E,powerset(A)) & (exists H (D = set_difference(H,singleton(A)) & in(H,B))) & D = E)) <-> in(D,C)))))) # label(s1_tarski__e4_27_3_1__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 41 (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]. 1.72/2.03 42 (all A (v5_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & natural(B) & v1_xreal_0(B) & v1_rat_1(B) & v1_int_1(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 43 (exists A join_semilatt_str(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 44 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> ((all C all D all E (in(C,B) & (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 -> E = subset_complement(the_carrier(A),G)))) -> E = D)) & (all C -(in(C,B) & (all D -(all H (element(H,powerset(the_carrier(A))) -> (C = H -> subset_complement(the_carrier(A),H) = D)))))) -> (exists 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)))))) & B = relation_dom(C) & function(C) & relation(C)))))) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 45 (all A all B (element(B,the_carrier(boole_lattice(A))) -> (all C (element(C,the_carrier(boole_lattice(A))) -> set_union2(B,C) = join(boole_lattice(A),B,C) & meet(boole_lattice(A),B,C) = set_intersection2(B,C))))) # label(t1_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 46 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (in(C,the_carrier(A)) -> (in(C,topstr_closure(A,B)) <-> (all D (element(D,powerset(the_carrier(A))) -> (subset(B,D) & closed_subset(D,A) -> in(C,D))))))))))) # label(t45_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 47 (all A all B (closed_subset(B,A) & element(B,powerset(the_carrier(A))) & top_str(A) & topological_space(A) -> open_subset(subset_complement(the_carrier(A),B),A))) # label(fc3_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 48 (all A (top_str(A) & topological_space(A) -> (exists B (element(B,powerset(the_carrier(A))) & open_subset(B,A))))) # label(rc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 49 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 50 (all A all B (element(B,powerset(powerset(A))) -> -(empty_set != B & complements_of_subsets(A,B) = empty_set) & -(B = empty_set & empty_set != complements_of_subsets(A,B)))) # label(t10_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 51 (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]. 1.72/2.03 52 (all A (relation(A) -> (all B ((all C all D (in(ordered_pair(D,C),A) & in(ordered_pair(C,D),A) & in(D,B) & in(C,B) -> D = C)) <-> is_antisymmetric_in(A,B))))) # label(d4_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 53 (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]. 1.72/2.03 54 (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]. 1.72/2.03 55 (all A all B exists C relation_of2_as_subset(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 56 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> set_union2(B,C) = subset_union2(A,B,C))) # label(redefinition_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 57 (all A all B (disjoint(A,B) <-> set_difference(A,B) = A)) # label(t83_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 58 (all A (function(A) & relation(A) -> (one_to_one(A) -> relation_rng(A) = relation_dom(function_inverse(A)) & relation_dom(A) = relation_rng(function_inverse(A))))) # label(t55_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 59 (all A all B (ordinal(B) -> (in(A,B) -> ordinal(A)))) # label(t23_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 60 (exists A meet_semilatt_str(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 61 (all A (top_str(A) -> one_sorted_str(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 62 (all A all B (latt_str(A) & element(B,the_carrier(poset_of_lattice(A))) & lattice(A) & -empty_carrier(A) -> element(cast_to_el_of_lattice(A,B),the_carrier(A)))) # label(dt_k5_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 63 (all A all B all C (set_union2(A,B) = C <-> (all D (in(D,C) <-> in(D,B) | in(D,A))))) # label(d2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 64 (all A all B all C (singleton(A) = unordered_pair(B,C) -> B = A)) # label(t8_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 65 (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]. 1.72/2.03 66 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> ((all C all D all E ((exists G (G = E & closed_subset(G,A) & subset(B,E) & 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 (in(D,C) <-> (exists E (in(E,powerset(the_carrier(A))) & (exists H (closed_subset(H,A) & subset(B,D) & H = D & element(H,powerset(the_carrier(A))))) & D = E))))))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 67 (exists A (function(A) & relation(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 68 (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]. 1.72/2.03 69 (all A cast_to_subset(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 70 (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]. 1.72/2.03 71 (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]. 1.72/2.03 72 (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]. 1.72/2.03 73 (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]. 1.72/2.03 74 (all A (cup_closed(A) & diff_closed(A) -> preboolean(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 75 (all A all B (v5_membered(A) -> v1_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)) & v4_membered(set_difference(A,B)) & v5_membered(set_difference(A,B)) & v3_membered(set_difference(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 76 (all A all B (-empty(B) & -empty(A) -> -empty(cartesian_product2(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 77 (exists A (-empty_carrier(A) & antisymmetric_relstr(A) & transitive_relstr(A) & reflexive_relstr(A) & strict_rel_str(A) & rel_str(A))) # label(rc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 78 (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]. 1.72/2.03 79 (all A (subset(A,empty_set) -> empty_set = A)) # label(t3_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.03 80 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> subset_difference(A,B,C) = set_difference(B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.03 81 (all A all B (-in(A,B) -> disjoint(singleton(A),B))) # label(l28_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 82 (all A all B (-empty_carrier(A) & topological_space(A) & top_str(A) & element(B,the_carrier(A)) -> (exists C point_neighbourhood(C,A,B)))) # label(existence_m1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 83 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 84 (all A all B (element(B,powerset(the_carrier(A))) & top_str(A) -> element(interior(A,B),powerset(the_carrier(A))))) # label(dt_k1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 85 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 86 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 87 (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]. 1.72/2.04 88 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 89 (all A (v4_membered(A) -> (all B (element(B,A) -> v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B) & v1_xcmplx_0(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 90 (all A all B (reflexive(B) & transitive(B) & relation_of2(B,A,A) & v1_partfun1(B,A,A) & antisymmetric(B) -> strict_rel_str(rel_str_of(A,B)) & reflexive_relstr(rel_str_of(A,B)) & antisymmetric_relstr(rel_str_of(A,B)) & transitive_relstr(rel_str_of(A,B)))) # label(fc3_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 91 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 92 (all A (one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B))))) # label(t17_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 93 (all A (transitive_relstr(A) & rel_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (all D (element(D,the_carrier(A)) -> (related(A,B,C) & related(A,C,D) -> related(A,B,D)))))))))) # label(t26_orders_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 94 (all A all B all C (join_semilatt_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & join_commutative(A) & -empty_carrier(A) -> element(join_commut(A,B,C),the_carrier(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 95 (all A all B ((all C (in(C,A) -> in(C,B))) <-> subset(A,B))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 96 (all A all B (v3_membered(A) -> v1_membered(set_difference(A,B)) & v3_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)))) # label(fc39_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 97 (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]. 1.72/2.04 98 (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]. 1.72/2.04 99 (all A all B (subset(A,B) <-> empty_set = set_difference(A,B))) # label(l32_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 100 (all A all B (in(A,B) -> subset(A,union(B)))) # label(t92_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 101 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 102 (all A (relation(A) -> (all B relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B))))) # label(d6_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 103 (all A all B all C (relation(C) & function(C) -> (in(ordered_pair(A,B),C) <-> in(A,relation_dom(C)) & apply(C,A) = B))) # label(t8_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 104 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 105 (all A (relation(A) & function(A) -> (one_to_one(A) -> relation_inverse(A) = function_inverse(A)))) # label(d9_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 106 (all A all B (relation(A) & relation_empty_yielding(A) -> relation_empty_yielding(relation_dom_restriction(A,B)) & relation(relation_dom_restriction(A,B)))) # label(fc13_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 107 (all A (v3_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v3_membered(B) & v2_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 108 (all A all B all C all D (lattice(B) & element(D,the_carrier(B)) & element(C,the_carrier(A)) & latt_str(B) & -empty_carrier(B) & latt_str(A) & lattice(A) & -empty_carrier(A) -> k10_filter_1(A,B,C,D) = ordered_pair(C,D))) # label(redefinition_k10_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 109 (all A all B (B = A <-> subset(B,A) & subset(A,B))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 110 (all A (function(A) & relation(A) -> (all B all C (relation_inverse_image(A,B) = C <-> (all D (in(D,relation_dom(A)) & in(apply(A,D),B) <-> in(D,C))))))) # label(d13_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 111 (all A all B (relation(A) & function(A) -> function(relation_dom_restriction(A,B)) & relation(relation_dom_restriction(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 112 (all A (empty(A) -> relation(relation_inverse(A)) & empty(relation_inverse(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 113 (all A (v1_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 114 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_dom(C) = relation_field(A) & relation_field(B) = relation_rng(C) & one_to_one(C) & (all D all E (in(ordered_pair(apply(C,D),apply(C,E)),B) & in(E,relation_field(A)) & in(D,relation_field(A)) <-> in(ordered_pair(D,E),A))) <-> relation_isomorphism(A,B,C)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 115 (all A all B (relation_of2(B,A,A) -> rel_str(rel_str_of(A,B)) & strict_rel_str(rel_str_of(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 116 (all A all B -empty(unordered_pair(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 117 (all A all B (A = set_difference(A,singleton(B)) <-> -in(B,A))) # label(t65_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 118 (all A all B -(empty(A) & empty(B) & A != B)) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 119 (exists A (empty(A) & relation(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 120 (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]. 1.72/2.04 121 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> B = subset_union2(A,B,B))) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 122 (all A all B (-empty_carrier(B) & latt_str(B) & lattice(B) -> ((exists C exists D (element(C,the_carrier(B)) & ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D) = A & below_refl(B,C,D) & element(D,the_carrier(B)))) <-> in(A,a_1_0_filter_1(B))))) # label(fraenkel_a_1_0_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 123 (all A all B all C (subset(A,B) & subset(B,C) -> subset(A,C))) # label(t1_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 124 (all A (top_str(A) -> (topological_space(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))))) & (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))))))) & in(the_carrier(A),the_topology(A))))) # label(d1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 125 (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]. 1.72/2.04 126 (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]. 1.72/2.04 127 (all A all B (-empty_carrier(A) & topological_space(A) & top_str(A) & element(B,the_carrier(A)) -> (all C (point_neighbourhood(C,A,B) -> element(C,powerset(the_carrier(A))))))) # label(dt_m1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 128 (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]. 1.72/2.04 129 (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]. 1.72/2.04 130 (all A (relation(A) -> (all B all C (relation(C) -> ((all D all E (in(ordered_pair(D,E),C) <-> in(ordered_pair(D,E),A) & in(D,B))) <-> C = relation_dom_restriction(A,B)))))) # label(d11_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 131 (all A (ordinal(A) -> -(-being_limit_ordinal(A) & (all B (ordinal(B) -> succ(B) != A))) & -(being_limit_ordinal(A) & (exists B (succ(B) = A & ordinal(B)))))) # label(t42_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 132 (all A all B (element(B,powerset(the_carrier(A))) & top_str(A) & topological_space(A) -> open_subset(interior(A,B),A))) # label(fc6_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 133 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 134 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> ((all C all D all E (C = D & in(set_difference(cast_as_carrier_subset(A),D),B) & C = E & in(set_difference(cast_as_carrier_subset(A),E),B) -> D = E)) -> (exists C all D ((exists E (in(E,powerset(the_carrier(A))) & D = E & in(set_difference(cast_as_carrier_subset(A),D),B))) <-> in(D,C)))))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 135 (all A all B (-empty(A) & relation(B) -> ((all C all D all E (in(C,A) & (exists H (C = H & (all I (in(I,H) -> in(ordered_pair(E,I),B))) & in(E,H))) & in(C,A) & (exists F (in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))) & F = C)) -> D = E)) -> (exists C (relation(C) & function(C) & (all D all E (in(ordered_pair(D,E),C) <-> in(D,A) & in(D,A) & (exists J (J = D & in(E,J) & (all K (in(K,J) -> in(ordered_pair(E,K),B)))))))))))) # label(s1_funct_1__e10_24__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 136 (all A (relation(A) -> (well_orders(A,relation_field(A)) <-> well_ordering(A)))) # label(t8_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 137 (all A all B all C (function(B) & relation_of2(C,cartesian_product2(A,A),A) & quasi_total(C,cartesian_product2(A,A),A) & function(C) & relation_of2(B,cartesian_product2(A,A),A) & quasi_total(B,cartesian_product2(A,A),A) & -empty(A) -> -empty_carrier(latt_str_of(A,B,C)) & strict_latt_str(latt_str_of(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 138 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 139 (all A (ordinal(A) -> epsilon_transitive(union(A)) & epsilon_connected(union(A)) & ordinal(union(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 140 (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]. 1.72/2.04 141 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 142 (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]. 1.72/2.04 143 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 144 (all A all B (relation(B) -> (B = identity_relation(A) <-> (all C all D (C = D & in(C,A) <-> in(ordered_pair(C,D),B)))))) # label(d10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 145 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 146 (all A relation(identity_relation(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 147 (all A all B (relation(A) -> relation(relation_restriction(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 148 (exists A (epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 149 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 150 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 151 (all A (relation(A) -> (well_founded_relation(A) <-> (all B -(subset(B,relation_field(A)) & B != empty_set & (all C -(disjoint(fiber(A,C),B) & in(C,B)))))))) # label(d2_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 152 (all A all B (v4_membered(A) -> v1_membered(set_intersection2(B,A)) & v2_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)) & v4_membered(set_intersection2(B,A)))) # label(fc34_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 153 (all A all B (element(B,powerset(powerset(A))) -> (all C (element(C,powerset(powerset(A))) -> (complements_of_subsets(A,B) = C <-> (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]. 1.72/2.04 154 (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]. 1.72/2.04 155 (all A (meet_semilatt_str(A) -> quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & relation_of2_as_subset(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]. 1.72/2.04 156 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 157 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 158 (all A all B all C all D (-empty_carrier(A) & latt_str(A) & lattice(B) & latt_str(B) & element(D,the_carrier(B)) & element(C,the_carrier(A)) & -empty_carrier(B) & lattice(A) -> element(k10_filter_1(A,B,C,D),the_carrier(k8_filter_1(A,B))))) # label(dt_k10_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 159 (all A empty_set != singleton(A)) # label(l1_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 160 (all A (relation(A) -> (all B ((all C (in(C,B) <-> (exists D in(ordered_pair(D,C),A)))) <-> B = relation_rng(A))))) # label(d5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 161 (all A (lattice(A) & latt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> cast_to_el_of_LattPOSet(A,B) = B)))) # label(d3_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 162 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.04 163 (all A all B (relation(B) -> relation_image(B,A) = relation_image(B,set_intersection2(relation_dom(B),A)))) # label(t145_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.04 164 (all A all B (relation(B) & function(B) -> (relation_dom(B) = A & (all C (in(C,A) -> apply(B,C) = C)) <-> B = identity_relation(A)))) # label(t34_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 165 (all A all B (subset(A,B) -> set_union2(A,B) = B)) # label(t12_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 166 (all A in(A,succ(A))) # label(t10_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 167 (exists A latt_str(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 168 (all A all B (-empty(A) & relation(B) -> ((all C all D all E (in(C,A) & (exists H (H = C & in(E,H) & (all I (in(I,H) -> in(ordered_pair(E,I),B))))) & (exists F (F = C & in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))))) -> D = E)) & (all C -(in(C,A) & (all D -(exists J (C = J & (all K (in(K,J) -> in(ordered_pair(D,K),B))) & in(D,J)))))) -> (exists C (function(C) & (all D (in(D,A) -> (exists L (L = D & (all M (in(M,L) -> in(ordered_pair(apply(C,D),M),B))) & in(apply(C,D),L))))) & A = relation_dom(C) & relation(C)))))) # label(s2_funct_1__e10_24__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 169 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 170 (all A all B subset(set_difference(A,B),A)) # label(t36_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 171 (all A all B (relation(B) -> subset(relation_field(relation_restriction(B,A)),A) & subset(relation_field(relation_restriction(B,A)),relation_field(B)))) # label(t20_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 172 (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]. 1.72/2.05 173 (all A all B (relation(B) -> relation_composition(identity_relation(A),B) = relation_dom_restriction(B,A))) # label(t94_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 174 (all A exists B (empty(B) & element(B,powerset(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 175 (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]. 1.72/2.05 176 (all A all B all C (element(B,powerset(powerset(A))) & function(C) & relation(C) -> ((all D all E all F (E = D & F = D & in(relation_image(C,F),B) & in(relation_image(C,E),B) -> F = E)) -> (exists D all E (in(E,D) <-> (exists F (in(relation_image(C,E),B) & F = E & in(F,powerset(relation_dom(C)))))))))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 177 (all A all B (equipotent(A,B) <-> (exists C (relation(C) & function(C) & one_to_one(C) & B = relation_rng(C) & relation_dom(C) = A)))) # label(d4_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 178 (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 -> subset_complement(the_carrier(A),G) = E))) & (all F (element(F,powerset(the_carrier(A))) -> (C = F -> subset_complement(the_carrier(A),F) = D))) -> D = E)) -> (exists C (relation(C) & (all D all E (in(ordered_pair(D,E),C) <-> (all H (element(H,powerset(the_carrier(A))) -> (D = H -> E = subset_complement(the_carrier(A),H)))) & in(D,B) & in(D,B))) & function(C)))))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 179 (all A (one_sorted_str(A) -> the_carrier(A) = cast_as_carrier_subset(A))) # label(t12_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 180 (all A all B all C (-empty_carrier(A) & meet_semilatt_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) -> element(meet(A,B,C),the_carrier(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 181 (all A (latt_str(boole_lattice(A)) & strict_latt_str(boole_lattice(A)))) # label(dt_k1_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 182 (all A all B (subset(A,singleton(B)) <-> A = empty_set | singleton(B) = A)) # label(l4_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 183 (all A ((all B all C all D (singleton(B) = D & in(B,A) & singleton(B) = C & in(B,A) -> D = C)) -> (exists B all C ((exists D (in(D,A) & in(D,A) & C = singleton(D))) <-> in(C,B))))) # label(s1_tarski__e16_22__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 184 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 185 (all A all B (empty_set = set_difference(A,B) <-> subset(A,B))) # label(t37_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 186 (all A all B all C all D (ordered_pair(A,B) = ordered_pair(C,D) -> D = B & A = C)) # label(t33_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 187 (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]. 1.72/2.05 188 (all A (join_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 189 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 190 (all A all B all C (relation(C) -> (in(A,relation_field(relation_restriction(C,B))) -> in(A,relation_field(C)) & in(A,B)))) # label(t19_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 191 (all A all B (finite(A) -> finite(set_intersection2(A,B)))) # label(fc11_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 192 (all A all B (element(B,powerset(powerset(A))) -> set_meet(B) = meet_of_subsets(A,B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 193 (all A (lattice(A) & latt_str(A) & -empty_carrier(A) -> poset_of_lattice(A) = rel_str_of(the_carrier(A),k2_lattice3(A)))) # label(d2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 194 (all A all B (-empty(A) -> -empty(set_union2(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 195 (all A (relation(A) -> (is_well_founded_in(A,relation_field(A)) <-> well_founded_relation(A)))) # label(t5_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 196 (all A all B all C all D -(D != A & C != A & unordered_pair(C,D) = unordered_pair(A,B))) # label(t10_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 197 (all A (relation(A) -> (all B (relation(B) -> (A = B <-> (all C all D (in(ordered_pair(C,D),B) <-> in(ordered_pair(C,D),A)))))))) # label(d2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 198 (all A (join_commutative(A) & join_semilatt_str(A) & -empty_carrier(A) -> function(the_L_join(A)) & v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & v1_binop_1(the_L_join(A),the_carrier(A)) & quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & relation(the_L_join(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 199 (exists A (latt_str(A) & -empty_carrier(A) & strict_latt_str(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 200 (all A (-empty(A) -> -((all B (relation(B) & function(B) -> -(A = relation_dom(B) & (all C (in(C,A) -> in(apply(B,C),C)))))) & (all B -(in(B,A) & B = empty_set))))) # label(t28_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 201 (all A (relation(A) -> (all B (relation(B) -> (all C (relation(C) & function(C) -> (well_ordering(A) & relation_isomorphism(A,B,C) -> well_ordering(B)))))))) # label(t54_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 202 (all A all B all C all D (function(D) & quasi_total(D,A,B) & relation_of2_as_subset(D,A,B) -> (in(C,A) -> empty_set = B | in(apply(D,C),relation_rng(D))))) # label(t6_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 203 (all A all B all C (join_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & join_commutative(A) & -empty_carrier(A) -> join(A,B,C) = join_commut(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 204 (all A all B (topological_space(A) & element(B,powerset(powerset(the_carrier(A)))) & top_str(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]. 1.72/2.05 205 (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]. 1.72/2.05 206 (all A all B (ordinal(B) -> (exists C all D (in(D,succ(B)) & (exists E (in(E,A) & E = D & ordinal(E))) <-> in(D,C))))) # label(s1_xboole_0__e8_6__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 207 (all A all B all C (relation_of2_as_subset(C,A,B) -> (relation_rng_as_subset(A,B,C) = B <-> (all D -(in(D,B) & (all E -in(ordered_pair(E,D),C))))))) # label(t23_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 208 (all A singleton(A) = unordered_pair(A,A)) # label(t69_enumset1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 209 (exists A (latt_str(A) & join_associative(A) & meet_commutative(A) & meet_absorbing(A) & join_absorbing(A) & lattice(A) & meet_associative(A) & join_commutative(A) & strict_latt_str(A) & -empty_carrier(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 210 (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]. 1.72/2.05 211 (all A all B (relation(B) -> subset(relation_dom_restriction(B,A),B))) # label(t88_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 212 (all A all B all C (element(C,the_carrier(A)) & element(B,the_carrier(A)) & rel_str(A) & reflexive_relstr(A) & -empty_carrier(A) -> (related(A,B,C) <-> related_reflexive(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 213 (all A (v1_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 214 (all A (-empty_carrier(A) & top_str(A) & topological_space(A) -> ((all B (element(B,powerset(powerset(the_carrier(A)))) -> -(centered(B) & empty_set = meet_of_subsets(the_carrier(A),B) & closed_subsets(B,A)))) <-> compact_top_space(A)))) # label(t13_compts_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 215 (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]. 1.72/2.05 216 (all A ((all B (in(B,A) -> subset(B,A))) <-> epsilon_transitive(A))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 217 (all A all B (finite(A) -> finite(set_intersection2(A,B)))) # label(t15_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 218 (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) -> open_subset(C,A)))) <-> open_subsets(B,A)))))) # label(d1_tops_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 219 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 220 (all A (relation(A) & function(A) -> (all B all C apply_binary(A,B,C) = apply(A,ordered_pair(B,C))))) # label(d1_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 221 (all A ((all B all C all D (C = B & ordinal(C) & D = B & ordinal(D) -> D = C)) -> (exists B all C ((exists D (C = D & ordinal(C) & in(D,A))) <-> in(C,B))))) # label(s1_tarski__e6_22__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 222 (all A (rel_str(A) -> (strict_rel_str(A) -> A = rel_str_of(the_carrier(A),the_InternalRel(A))))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 223 (all A (topological_space(A) & top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (exists C (element(C,powerset(powerset(the_carrier(A)))) & (all D (element(D,powerset(the_carrier(A))) -> (in(D,C) <-> subset(B,D) & closed_subset(D,A)))) & meet_of_subsets(the_carrier(A),C) = topstr_closure(A,B))))))) # label(t46_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 224 (all A all B (element(B,the_carrier(boole_lattice(A))) -> (all C (element(C,the_carrier(boole_lattice(A))) -> (subset(B,C) <-> below(boole_lattice(A),B,C)))))) # label(t2_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 225 (all A ((all B -((all C all D ordered_pair(C,D) != B) & in(B,A))) <-> relation(A))) # label(d1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 226 (all A (relation(A) -> (relation_dom(A) = empty_set | relation_rng(A) = empty_set -> A = empty_set))) # label(t64_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 227 (all A (latt_str(A) -> join_semilatt_str(A) & meet_semilatt_str(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 228 (all A all B all C (function(C) & quasi_total(C,cartesian_product2(A,A),A) & relation_of2(C,cartesian_product2(A,A),A) & relation_of2(B,cartesian_product2(A,A),A) & quasi_total(B,cartesian_product2(A,A),A) & function(B) -> (all D all E all F (latt_str_of(A,B,C) = latt_str_of(D,E,F) -> A = D & C = F & E = B)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 229 (all A (relation_dom(identity_relation(A)) = A & relation_rng(identity_relation(A)) = A)) # label(t71_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 230 (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]. 1.72/2.05 231 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 232 (all A all B (relation(B) -> subset(relation_rng_restriction(A,B),B))) # label(t117_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 233 (all A all B (finite(A) -> finite(set_difference(A,B)))) # label(fc12_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 234 (all A all B ((all C all D all E (D = C & (exists H exists I (I = singleton(H) & in(H,A) & E = ordered_pair(H,I))) & E = C & (exists F exists G (in(F,A) & singleton(F) = G & D = ordered_pair(F,G))) -> D = E)) -> (exists C all D (in(D,C) <-> (exists E (in(E,cartesian_product2(A,B)) & (exists J exists K (singleton(J) = K & in(J,A) & ordered_pair(J,K) = D)) & E = D)))))) # label(s1_tarski__e16_22__wellord2__2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 235 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (closed_subsets(B,A) <-> open_subsets(complements_of_subsets(the_carrier(A),B),A)))))) # label(t16_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 236 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 237 (all A all B all C (singleton(A) = unordered_pair(B,C) -> B = C)) # label(t9_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 238 (all A all B (ordinal(B) -> -((all C (ordinal(C) -> -(in(C,A) & (all D (ordinal(D) -> (in(D,A) -> ordinal_subset(C,D))))))) & empty_set != A & subset(A,B)))) # label(t32_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.05 239 (all A (-empty(singleton(A)) & finite(singleton(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 240 (all A (-empty_carrier(A) & meet_commutative(A) & meet_semilatt_str(A) -> function(the_L_meet(A)) & v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & v1_binop_1(the_L_meet(A),the_carrier(A)) & quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & relation(the_L_meet(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.05 241 (all A all B all C (element(B,powerset(powerset(A))) & function(C) & relation(C) -> (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]. 1.72/2.06 242 (all A all B (element(B,powerset(powerset(A))) -> -(complements_of_subsets(A,B) = empty_set & B != empty_set))) # label(t46_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 243 (all A (epsilon_connected(A) & epsilon_transitive(A) <-> ordinal(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 244 (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]. 1.72/2.06 245 (all A (-empty_carrier(A) & join_semilatt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (below(A,B,C) <-> join(A,B,C) = C))))))) # label(d3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 246 (all A (relation(A) -> (antisymmetric(A) <-> is_antisymmetric_in(A,relation_field(A))))) # label(d12_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 247 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 248 (all A ((all B all C -(in(C,A) & -in(B,C) & -in(C,B) & C != B & in(B,A))) <-> epsilon_connected(A))) # label(d3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 249 (all A (finite(A) <-> (exists B (function(B) & in(relation_dom(B),omega) & A = relation_rng(B) & relation(B))))) # label(d1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 250 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> relation_of_lattice(A) = a_1_0_filter_1(A))) # label(d8_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 251 (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]. 1.72/2.06 252 (all A A = union(powerset(A))) # label(t99_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 253 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 254 (all A all B all C (relation(C) -> ((exists D (in(D,B) & in(ordered_pair(A,D),C) & in(D,relation_rng(C)))) <-> in(A,relation_inverse_image(C,B))))) # label(t166_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 255 (all A (join_semilatt_str(A) -> relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & quasi_total(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]. 1.72/2.06 256 (all A (relation(A) & function(A) -> (one_to_one(A) -> (all B (function(B) & relation(B) -> (B = function_inverse(A) <-> relation_rng(A) = relation_dom(B) & (all C all D ((apply(A,D) = C & in(D,relation_dom(A)) -> apply(B,C) = D & in(C,relation_rng(A))) & (in(C,relation_rng(A)) & D = apply(B,C) -> in(D,relation_dom(A)) & C = apply(A,D)))))))))) # label(t54_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 257 (all A ((all B (in(B,A) -> ordinal(B) & subset(B,A))) -> ordinal(A))) # label(t31_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 258 (all A all B all C (C = cartesian_product2(A,B) <-> (all D ((exists E exists F (D = ordered_pair(E,F) & in(F,B) & in(E,A))) <-> in(D,C))))) # label(d2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 259 (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]. 1.72/2.06 260 (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]. 1.72/2.06 261 (all A (empty(A) -> empty(relation_rng(A)) & relation(relation_rng(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 262 (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]. 1.72/2.06 263 (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]. 1.72/2.06 264 (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]. 1.72/2.06 265 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 266 (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]. 1.72/2.06 267 (all A (ordinal(A) & natural(A) -> -empty(succ(A)) & epsilon_transitive(succ(A)) & ordinal(succ(A)) & natural(succ(A)) & epsilon_connected(succ(A)))) # label(fc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 268 (exists A (one_sorted_str(A) & -empty_carrier(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 269 (all A all B (relation(B) -> -((all C (relation(C) -> -well_orders(C,A))) & equipotent(A,relation_field(B)) & well_ordering(B)))) # label(l30_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 270 (all A (-empty_carrier(A) & top_str(A) & topological_space(A) -> (exists B (element(B,powerset(the_carrier(A))) & closed_subset(B,A) & -empty(B))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 271 (all A (ordinal(A) -> epsilon_connected(A) & epsilon_transitive(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 272 (all A all B (latt_str(B) & strict_latt_str(B) -> (B = boole_lattice(A) <-> the_carrier(B) = powerset(A) & (all C (element(C,powerset(A)) -> (all D (element(D,powerset(A)) -> apply_binary(the_L_join(B),C,D) = subset_union2(A,C,D) & apply_binary(the_L_meet(B),C,D) = subset_intersection2(A,C,D)))))))) # label(d1_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 273 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 274 (all A all B subset(set_intersection2(A,B),A)) # label(t17_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 275 (exists A (relation(A) & function(A) & empty(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 276 (all A (relation(A) -> set_union2(relation_dom(A),relation_rng(A)) = relation_field(A))) # label(d6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 277 (all A (v2_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 278 (all A all B all C (subset(A,B) -> subset(cartesian_product2(C,A),cartesian_product2(C,B)) & subset(cartesian_product2(A,C),cartesian_product2(B,C)))) # label(t118_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 279 (exists A (-empty(A) & ordinal(A) & epsilon_connected(A) & epsilon_transitive(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 280 (all A all B (in(A,B) -> subset(A,union(B)))) # label(l50_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 281 (all A (ordinal(A) -> (all B (ordinal(B) -> -(-in(A,B) & A != B & -in(B,A)))))) # label(t24_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 282 (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]. 1.72/2.06 283 (all A (latt_str(A) & lattice(A) & -empty_carrier(A) -> -empty_carrier(poset_of_lattice(A)) & strict_rel_str(poset_of_lattice(A)) & reflexive_relstr(poset_of_lattice(A)) & transitive_relstr(poset_of_lattice(A)) & antisymmetric_relstr(poset_of_lattice(A)))) # label(fc4_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 284 (all A all B (relation(B) -> subset(relation_image(B,A),relation_rng(B)))) # label(t144_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 285 (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]. 1.72/2.06 286 (exists A (relation(A) & empty(A) & epsilon_connected(A) & ordinal(A) & epsilon_transitive(A) & one_to_one(A) & function(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 287 (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]. 1.72/2.06 288 (all A exists B (relation(B) & (all C (in(C,A) -> singleton(C) = apply(B,C))) & A = relation_dom(B) & function(B))) # label(s3_funct_1__e16_22__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 289 (all A all B (relation(B) -> (reflexive(B) -> reflexive(relation_restriction(B,A))))) # label(t22_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 290 (all A (one_sorted_str(A) -> empty_carrier_subset(A) = empty_set)) # label(d2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 291 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 292 (all A ((exists B (in(B,A) & ordinal(B))) -> (exists B (ordinal(B) & (all C (ordinal(C) -> (in(C,A) -> ordinal_subset(B,C)))) & in(B,A))))) # label(s1_ordinal1__e8_6__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 293 (all A all B (in(A,B) <-> subset(singleton(A),B))) # label(l2_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 294 (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]. 1.72/2.06 295 (all A (topological_space(A) & top_str(A) -> (exists B (closed_subset(B,A) & open_subset(B,A) & element(B,powerset(the_carrier(A))))))) # label(rc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 296 (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]. 1.72/2.06 297 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 298 (all A ((exists B exists C A = ordered_pair(B,C)) -> (all B (pair_second(A) = B <-> (all C all D (ordered_pair(C,D) = A -> D = B)))))) # label(d2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 299 (all A all B (relation(B) -> relation_rng_restriction(A,relation_dom_restriction(B,A)) = relation_restriction(B,A))) # label(t18_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 300 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 301 (all A exists B (element(B,powerset(A)) & empty(B) & relation(B) & function(B) & epsilon_transitive(B) & natural(B) & finite(B) & ordinal(B) & epsilon_connected(B) & one_to_one(B))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 302 (all A all B exists C all D ((exists E exists F (singleton(E) = F & in(E,A) & ordered_pair(E,F) = D)) & in(D,cartesian_product2(A,B)) <-> in(D,C))) # label(s1_xboole_0__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 303 (all A all B (v1_membered(A) -> v1_membered(set_intersection2(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 304 (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]. 1.72/2.06 305 (all A all B (relation(A) & relation(B) -> relation(set_union2(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 306 (all A all B (-empty_carrier(B) & lattice(B) & latt_str(B) -> (all C (element(C,the_carrier(B)) -> (relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) <-> latt_set_smaller(B,C,A)))))) # label(t28_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 307 (all A all B (relation(B) & empty(A) -> relation(relation_composition(B,A)) & empty(relation_composition(B,A)))) # label(fc10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 308 (all A (relation(A) -> (all B all C ((all D (in(D,C) <-> (exists E (in(ordered_pair(D,E),A) & in(E,B))))) <-> C = relation_inverse_image(A,B))))) # label(d14_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 309 (all A all B all C all D (in(ordered_pair(A,B),cartesian_product2(C,D)) <-> in(B,D) & in(A,C))) # label(l55_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 310 (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]. 1.72/2.06 311 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 312 (all A (-empty_carrier(boole_lattice(A)) & strict_latt_str(boole_lattice(A)))) # label(fc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 313 (all A all B (top_str(A) & element(B,powerset(powerset(the_carrier(A)))) & topological_space(A) -> (exists C (element(C,powerset(powerset(the_carrier(A)))) & (all D (element(D,powerset(the_carrier(A))) -> (in(set_difference(cast_as_carrier_subset(A),D),B) <-> in(D,C)))))))) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 314 (all A set_difference(A,empty_set) = A) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 315 (all A all B (-empty(A) & relation_of2(B,A,A) -> -empty_carrier(rel_str_of(A,B)) & strict_rel_str(rel_str_of(A,B)))) # label(fc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 316 (all A (centered(A) <-> (all B -(B != empty_set & subset(B,A) & finite(B) & empty_set = set_meet(B))) & A != empty_set)) # label(d2_compts_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 317 (all A (ordinal(A) & empty(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A))) # label(cc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 318 (all A all B (finite(B) -> finite(set_intersection2(A,B)))) # label(fc10_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 319 (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]. 1.72/2.06 320 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (below_refl(A,B,C) <-> in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))))))))) # label(t32_filter_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 321 (all A (relation(A) -> relation(relation_inverse(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 322 (all A all B (relation(B) -> (antisymmetric(B) -> antisymmetric(relation_restriction(B,A))))) # label(t25_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 323 (all A (ordinal(A) -> ((all B all C all D (B = C & D = B & (exists I (ordinal(I) & I = D & (in(I,omega) -> (all J (element(J,powerset(powerset(I))) -> -(empty_set != J & (all K -((all L (in(L,J) & subset(K,L) -> K = L)) & in(K,J))))))))) & (exists E ((in(E,omega) -> (all F (element(F,powerset(powerset(E))) -> -((all G -(in(G,F) & (all H (in(H,F) & subset(G,H) -> G = H)))) & F != empty_set)))) & C = E & ordinal(E))) -> C = D)) -> (exists B all C ((exists D ((exists M ((in(M,omega) -> (all N (element(N,powerset(powerset(M))) -> -((all O -((all P (subset(O,P) & in(P,N) -> P = O)) & in(O,N))) & empty_set != N)))) & C = M & 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]. 1.72/2.06 324 (all A (relation(A) -> (all B (well_orders(A,B) <-> is_reflexive_in(A,B) & is_transitive_in(A,B) & is_well_founded_in(A,B) & is_connected_in(A,B) & is_antisymmetric_in(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 325 (all A (empty_set = A <-> (all B -in(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 326 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 327 (all A (relation(A) -> (all B (is_well_founded_in(A,B) <-> (all C -(empty_set != C & (all D -(disjoint(fiber(A,D),C) & in(D,C))) & subset(C,B))))))) # label(d3_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 328 (all A all B all C (relation_of2(C,A,B) -> relation_dom(C) = relation_dom_as_subset(A,B,C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 329 (all A (v2_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 330 (all A all B (B = powerset(A) <-> (all C (in(C,B) <-> subset(C,A))))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 331 (all A (-empty(A) & relation(A) -> -empty(relation_rng(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 332 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 333 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 334 (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]. 1.72/2.06 335 (all A all B all C (element(C,powerset(A)) -> -(in(B,C) & in(B,subset_complement(A,C))))) # label(t54_subset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 336 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 337 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> antisymmetric(k2_lattice3(A)) & transitive(k2_lattice3(A)) & v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)) & relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)) & reflexive(k2_lattice3(A)))) # label(dt_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 338 (all A (function(identity_relation(A)) & relation(identity_relation(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 339 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 340 (all A (v4_membered(A) -> (all B (element(B,powerset(A)) -> v2_membered(B) & v3_membered(B) & v4_membered(B) & v1_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 341 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 342 (all A relation(inclusion_relation(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.06 343 (all A all B (relation(B) -> (well_orders(B,A) -> A = relation_field(relation_restriction(B,A)) & well_ordering(relation_restriction(B,A))))) # label(t25_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 344 (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]. 1.72/2.06 345 (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]. 1.72/2.06 346 (all A all B (relation(B) & function(B) -> (all C (relation(C) & function(C) -> (in(A,relation_dom(B)) -> apply(relation_composition(B,C),A) = apply(C,apply(B,A))))))) # label(t23_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.06 347 (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]. 1.72/2.06 348 (all A all B all C all D (-empty(A) & element(D,B) & element(C,A) & -empty(B) -> ordered_pair(C,D) = ordered_pair_as_product_element(A,B,C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 349 (all A all B (relation(B) & relation(A) -> relation(set_difference(A,B)))) # label(fc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 350 (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]. 1.72/2.07 351 (all A (ordinal(A) -> -empty(succ(A)) & epsilon_transitive(succ(A)) & ordinal(succ(A)) & epsilon_connected(succ(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 352 (all A all B (function(A) & function(B) & relation(B) & relation(A) -> function(relation_composition(A,B)) & relation(relation_composition(A,B)))) # label(fc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 353 (all A (top_str(A) & topological_space(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,powerset(the_carrier(A))) -> (point_neighbourhood(C,A,B) <-> in(B,interior(A,C))))))))) # label(d1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 354 (all A all B all C -(element(B,powerset(C)) & empty(C) & in(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 355 (all A all B (subset(A,singleton(B)) <-> A = singleton(B) | A = empty_set)) # label(t39_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 356 (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]. 1.72/2.07 357 (all A all B all C (meet_commutative(A) & meet_absorbing(A) & join_absorbing(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & latt_str(A) & -empty_carrier(A) -> (below_refl(A,B,C) <-> below(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 358 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 359 (all A (in(empty_set,A) & ordinal(A) & (all B (ordinal(B) -> (in(empty_set,B) & being_limit_ordinal(B) -> subset(A,B)))) & being_limit_ordinal(A) <-> omega = A)) # label(d5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 360 (all A (-empty_carrier(A) & join_commutative(A) & join_semilatt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (below(A,C,B) & below(A,B,C) -> C = B))))))) # label(t26_lattices) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 361 (all A all B all C -(in(A,B) & in(B,C) & in(C,A))) # label(t3_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 362 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 363 (all A (-empty_carrier(A) & meet_semilatt_str(A) -> element(bottom_of_semilattstr(A),the_carrier(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 364 (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]. 1.72/2.07 365 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (topological_space(A) & B = topstr_closure(A,B) -> closed_subset(B,A)) & (closed_subset(B,A) -> topstr_closure(A,B) = B))))) # label(t52_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 366 (all A (relation(A) -> (all B (is_connected_in(A,B) <-> (all C all D -(-in(ordered_pair(D,C),A) & -in(ordered_pair(C,D),A) & C != D & in(D,B) & in(C,B))))))) # label(d6_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 367 (all A all B (relation(B) -> (subset(A,relation_field(B)) & well_ordering(B) -> relation_field(relation_restriction(B,A)) = A))) # label(t39_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 368 (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]. 1.72/2.07 369 (all A antisymmetric(inclusion_relation(A))) # label(t5_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 370 (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]. 1.72/2.07 371 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))) = interior(A,B))))) # label(d1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 372 (all A all B (-empty_carrier(A) & latt_str(A) & latt_str(B) & -empty_carrier(B) -> latt_str(k8_filter_1(A,B)) & strict_latt_str(k8_filter_1(A,B)))) # label(dt_k8_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 373 (all A all B exists C (relation_of2(C,A,B) & function(C) & quasi_total(C,A,B) & relation(C))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 374 (all A empty_set = set_difference(empty_set,A)) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 375 (all A (one_sorted_str(A) -> cast_as_carrier_subset(A) = the_carrier(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 376 (all A (ordinal(A) -> well_founded_relation(inclusion_relation(A)))) # label(t6_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 377 (all A all B exists C relation_of2(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 378 (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]. 1.72/2.07 379 (all A (function(A) & relation(A) -> (one_to_one(A) -> one_to_one(function_inverse(A))))) # label(t62_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 380 (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) -> meet_commut(A,C,B) = meet_commut(A,B,C))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 381 (all A exists B (in(A,B) & (all C all D (in(C,B) & subset(D,C) -> in(D,B))) & (all C -((all D -(in(D,B) & (all E (subset(E,C) -> in(E,D))))) & in(C,B))) & (all C -(-are_equipotent(C,B) & -in(C,B) & subset(C,B))))) # label(t9_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 382 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 383 (all A ((all B -(in(B,A) & (all C C != singleton(B)))) & (all B all C all D (in(B,A) & D = singleton(B) & C = singleton(B) -> D = C)) -> (exists B (relation(B) & A = relation_dom(B) & (all C (in(C,A) -> singleton(C) = apply(B,C))) & function(B))))) # label(s2_funct_1__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 384 (all A all B all C (subset(unordered_pair(A,B),C) <-> in(B,C) & in(A,C))) # label(t38_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 385 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> strict_rel_str(poset_of_lattice(A)) & reflexive_relstr(poset_of_lattice(A)) & transitive_relstr(poset_of_lattice(A)) & rel_str(poset_of_lattice(A)) & antisymmetric_relstr(poset_of_lattice(A)))) # label(dt_k3_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 386 (all A (latt_str(A) -> (join_associative(A) & meet_absorbing(A) & join_absorbing(A) & meet_associative(A) & meet_commutative(A) & join_commutative(A) & -empty_carrier(A) -> -empty_carrier(A) & lattice(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 387 (exists A (rel_str(A) & strict_rel_str(A))) # label(rc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 388 (all A element(cast_to_subset(A),powerset(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 389 (all A all B all C (rel_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & reflexive_relstr(A) & -empty_carrier(A) -> related_reflexive(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 390 (all A set_union2(A,empty_set) = A) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 391 (all A (-empty_carrier(A) & one_sorted_str(A) -> -empty(the_carrier(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 392 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 393 (all A all B all C (relation(C) & function(C) & relation(B) -> (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]. 1.72/2.07 394 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E ((all F (element(F,powerset(the_carrier(A))) -> (F = C -> subset_complement(the_carrier(A),F) = D))) & in(C,B) & (all G (element(G,powerset(the_carrier(A))) -> (G = C -> subset_complement(the_carrier(A),G) = E))) & in(C,B) -> D = E)) -> (exists C all D ((exists E ((all H (element(H,powerset(the_carrier(A))) -> (E = H -> subset_complement(the_carrier(A),H) = D))) & in(E,B) & in(E,B))) <-> in(D,C)))))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 395 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> subset_complement(A,meet_of_subsets(A,B)) = union_of_subsets(A,complements_of_subsets(A,B))))) # label(t12_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 396 (all A (latt_str(A) & lattice(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (below_refl(A,B,C) <-> related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C))))))))) # label(t7_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 397 (exists A (relation(A) & -empty(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 398 (all A all B (relation(B) -> (transitive(B) -> transitive(relation_restriction(B,A))))) # label(t24_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 399 (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]. 1.72/2.07 400 (all A all B (-((all C -(in(C,A) & in(C,B))) & -disjoint(A,B)) & -((exists C (in(C,B) & in(C,A))) & disjoint(A,B)))) # label(t3_xboole_0) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 401 (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]. 1.72/2.07 402 (all A all B (element(B,powerset(powerset(A))) -> B = complements_of_subsets(A,complements_of_subsets(A,B)))) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 403 (all A all B (relation(B) -> (well_ordering(B) -> well_ordering(relation_restriction(B,A))))) # label(t32_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 404 (all A (reflexive_relstr(A) & rel_str(A) & antisymmetric_relstr(A) & transitive_relstr(A) -> transitive(the_InternalRel(A)) & v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)) & antisymmetric(the_InternalRel(A)) & reflexive(the_InternalRel(A)) & relation(the_InternalRel(A)))) # label(fc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 405 (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]. 1.72/2.07 406 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> subset_union2(A,B,C) = subset_union2(A,C,B))) # label(commutativity_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 407 (all A (one_sorted_str(A) & -empty_carrier(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]. 1.72/2.07 408 (all A all B all C (relation(C) -> (in(A,relation_restriction(C,B)) <-> in(A,cartesian_product2(B,B)) & in(A,C)))) # label(t16_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 409 (all A (relation(A) -> ((all B all C (in(ordered_pair(C,B),A) & in(ordered_pair(B,C),A) -> B = C)) <-> antisymmetric(A)))) # label(l3_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 410 (all A all B all C (relation(C) & function(C) & relation(B) -> (exists D (relation(D) & (all E all F (in(E,A) & in(ordered_pair(apply(C,E),apply(C,F)),B) & in(F,A) <-> in(ordered_pair(E,F),D))))))) # label(s1_relat_1__e6_21__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 411 (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(lemma) # label(non_clause). [assumption]. 1.72/2.07 412 (all A (one_sorted_str(A) -> (empty(the_carrier(A)) <-> empty_carrier(A)))) # label(d1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 413 (all A (-empty_carrier(A) & latt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (latt_set_smaller(A,B,C) <-> (all D (element(D,the_carrier(A)) -> (in(D,C) -> below(A,B,D)))))))))) # label(d16_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 414 (all A (rel_str(A) -> one_sorted_str(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 415 (all A all B all C all D (subset(A,B) & subset(C,D) -> subset(cartesian_product2(A,C),cartesian_product2(B,D)))) # label(t119_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 416 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(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 -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (C = F -> D = subset_complement(the_carrier(A),F)))) & in(C,complements_of_subsets(the_carrier(A),B)) -> D = E)) -> (exists C all D (in(D,C) <-> (exists E ((all H (element(H,powerset(the_carrier(A))) -> (E = H -> D = subset_complement(the_carrier(A),H)))) & in(E,complements_of_subsets(the_carrier(A),B)) & in(E,complements_of_subsets(the_carrier(A),B))))))))) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 417 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(C) -> (in(A,relation_dom(relation_composition(C,B))) -> apply(relation_composition(C,B),A) = apply(B,apply(C,A))))))) # label(t22_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 418 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 419 (all A (function(A) & relation(A) -> (finite(relation_dom(A)) -> finite(relation_rng(A))))) # label(t26_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 420 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(C) -> (relation_dom_restriction(C,A) = B <-> (all D (in(D,relation_dom(B)) -> apply(C,D) = apply(B,D))) & set_intersection2(relation_dom(C),A) = relation_dom(B)))))) # label(t68_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 421 (all A all B all C (subset(A,B) -> in(C,A) | subset(A,set_difference(B,singleton(C))))) # label(l3_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 422 (all A (one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (finite(B) <-> finite(complements_of_subsets(the_carrier(A),B))))))) # label(t13_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 423 (all A (v5_membered(A) -> (all B (element(B,powerset(A)) -> v3_membered(B) & v4_membered(B) & v5_membered(B) & v2_membered(B) & v1_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 424 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 425 (all A (relation(A) -> (all B all C ((all D (in(D,C) <-> D != B & in(ordered_pair(D,B),A))) <-> C = fiber(A,B))))) # label(d1_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 426 (exists A rel_str(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 427 (all A (relation(A) -> relation_image(A,relation_dom(A)) = relation_rng(A))) # label(t146_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 428 (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]. 1.72/2.07 429 (all A all B (finite(B) & subset(A,B) -> finite(A))) # label(t13_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 430 (all A all B (element(B,powerset(powerset(succ(A)))) & ordinal(A) -> (exists C all D ((exists E (D = set_difference(E,singleton(A)) & in(E,B))) & in(D,powerset(A)) <-> in(D,C))))) # label(s1_xboole_0__e4_27_3_1__finset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 431 (all A (epsilon_transitive(A) & epsilon_connected(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 432 (all A (relation(A) & function(A) -> (all B ((all C ((exists D (in(D,relation_dom(A)) & C = apply(A,D))) <-> in(C,B))) <-> relation_rng(A) = B)))) # label(d5_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 433 (all A (latt_str(A) -> (strict_latt_str(A) -> A = latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 434 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 435 (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]. 1.72/2.07 436 (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]. 1.72/2.07 437 (all A all B all C all D (relation_of2_as_subset(D,A,B) & quasi_total(D,A,B) & function(D) -> (empty_set != B -> (all E (in(apply(D,E),C) & in(E,A) <-> in(E,relation_inverse_image(D,C))))))) # label(t46_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 438 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> (all C ((all D all E all F (D = F & (exists J exists K (F = ordered_pair(J,K) & (all L (element(L,powerset(the_carrier(A))) -> (L = J -> subset_complement(the_carrier(A),L) = K))) & in(J,B))) & (exists G exists H (in(G,B) & (all I (element(I,powerset(the_carrier(A))) -> (I = G -> H = subset_complement(the_carrier(A),I)))) & E = ordered_pair(G,H))) & E = D -> F = E)) -> (exists D all E ((exists F (in(F,cartesian_product2(B,C)) & F = E & (exists M exists N (E = ordered_pair(M,N) & (all O (element(O,powerset(the_carrier(A))) -> (O = M -> N = subset_complement(the_carrier(A),O)))) & in(M,B))))) <-> in(E,D))))))) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 439 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 440 (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) -> D = interior(B,D)) & (interior(A,C) = C -> open_subset(C,A)))))))))) # label(t55_tops_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 441 (all A transitive(inclusion_relation(A))) # label(t3_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 442 (all A -empty(succ(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 443 (all A set_union2(A,singleton(A)) = succ(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.07 444 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> (exists C all D (in(D,C) <-> (exists E (closed_subset(E,A) & subset(B,D) & D = E & element(E,powerset(the_carrier(A))))) & in(D,powerset(the_carrier(A))))))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.07 445 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 446 (all A all B (v1_membered(A) -> v1_membered(set_difference(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 447 (all A all B (-empty(A) & relation(B) -> ((all C all D all E ((exists F (in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))) & F = C)) & in(C,A) & (exists H (H = C & (all I (in(I,H) -> in(ordered_pair(E,I),B))) & in(E,H))) & in(C,A) -> D = E)) -> (exists C all D ((exists E (in(E,A) & (exists J (in(D,J) & (all K (in(K,J) -> in(ordered_pair(D,K),B))) & J = E)) & in(E,A))) <-> in(D,C)))))) # label(s1_tarski__e10_24__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 448 (all A all B (function(B) & relation(B) -> subset(relation_image(B,relation_inverse_image(B,A)),A))) # label(t145_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 449 (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]. 1.72/2.08 450 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 451 (all A all B all C all D (element(C,A) & element(D,B) & -empty(B) & -empty(A) -> element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)))) # label(dt_k1_domain_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 452 (all A all B (relation(B) & function(B) -> (one_to_one(B) & in(A,relation_rng(B)) -> A = apply(relation_composition(function_inverse(B),B),A) & A = apply(B,apply(function_inverse(B),A))))) # label(t57_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 453 (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]. 1.72/2.08 454 (all A all B all C (-empty_carrier(A) & element(B,the_carrier(A)) & element(C,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]. 1.72/2.08 455 (all A all B ((empty(A) -> (empty(B) <-> element(B,A))) & (-empty(A) -> (element(B,A) <-> in(B,A))))) # label(d2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 456 (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]. 1.72/2.08 457 (all A (empty(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 458 (all A (element(A,omega) -> epsilon_transitive(A) & natural(A) & ordinal(A) & epsilon_connected(A))) # label(cc3_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 459 (all A exists B (relation(B) & well_orders(B,A))) # label(t26_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 460 (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]. 1.72/2.08 461 (all A all B (in(B,A) -> B = apply(identity_relation(A),B))) # label(t35_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 462 (exists A (function(A) & relation_empty_yielding(A) & relation(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 463 (all A subset(empty_set,A)) # label(t2_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 464 (all A (-empty_carrier(A) & meet_semilatt_str(A) & meet_associative(A) -> function(the_L_meet(A)) & v2_binop_1(the_L_meet(A),the_carrier(A)) & v1_partfun1(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)) & relation(the_L_meet(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 465 (all A (rel_str(A) -> (all B all C (element(C,the_carrier(A)) -> ((all D (element(D,the_carrier(A)) -> (in(D,B) -> related(A,C,D)))) <-> relstr_element_smaller(A,B,C)))))) # label(d8_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 466 (all A all B (subset(singleton(A),singleton(B)) -> A = B)) # label(t6_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 467 (all A all B (v3_membered(A) -> v3_membered(set_intersection2(B,A)) & v2_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc32_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 468 (all A (-empty_carrier(boole_lattice(A)) & join_commutative(boole_lattice(A)) & meet_absorbing(boole_lattice(A)) & join_absorbing(boole_lattice(A)) & lattice(boole_lattice(A)) & meet_associative(boole_lattice(A)) & meet_commutative(boole_lattice(A)) & join_associative(boole_lattice(A)) & strict_latt_str(boole_lattice(A)))) # label(fc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 469 (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]. 1.72/2.08 470 (all A all B all C (meet_commutative(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & meet_semilatt_str(A) & -empty_carrier(A) -> element(meet_commut(A,B,C),the_carrier(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 471 (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]. 1.72/2.08 472 (exists A (relation_empty_yielding(A) & relation(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 473 (all A (empty(A) & function(A) & relation(A) -> function(A) & one_to_one(A) & relation(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 474 (all A (top_str(A) & topological_space(A) & -empty_carrier(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,the_carrier(A)) -> (in(C,B) & open_subset(B,A) -> point_neighbourhood(B,A,C)))))))) # label(t5_connsp_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 475 (exists A (strict_latt_str(A) & latt_str(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 476 (all A (-empty(A) -> (exists B (-empty(B) & element(B,powerset(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 477 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (closed_subsets(complements_of_subsets(the_carrier(A),B),A) <-> open_subsets(B,A)))))) # label(t17_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 478 (all A all B (relation(B) & -empty(A) -> (all C ((all D all E all F ((exists G exists H ((exists I (G = I & in(H,I) & (all J (in(J,I) -> in(ordered_pair(H,J),B))))) & in(G,A) & ordered_pair(G,H) = E)) & F = D & (exists K exists L (F = ordered_pair(K,L) & (exists M (M = K & (all N (in(N,M) -> in(ordered_pair(L,N),B))) & in(L,M))) & in(K,A))) & D = E -> F = E)) -> (exists D all E ((exists F (in(F,cartesian_product2(A,C)) & F = E & (exists O exists P ((exists Q (O = Q & in(P,Q) & (all R (in(R,Q) -> in(ordered_pair(P,R),B))))) & in(O,A) & E = ordered_pair(O,P))))) <-> in(E,D))))))) # label(s1_tarski__e10_24__wellord2__2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 479 (all A all B (relation(A) -> relation(relation_dom_restriction(A,B)))) # label(dt_k7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 480 (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]. 1.72/2.08 481 (all A (empty(A) -> relation(relation_dom(A)) & empty(relation_dom(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 482 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 483 (all A all B (subset(A,B) & B != A <-> proper_subset(A,B))) # label(d8_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 484 (all A (preboolean(A) -> cup_closed(A) & diff_closed(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 485 (exists A (function(A) & one_to_one(A) & relation(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 486 (all A (-empty_carrier(A) & latt_str(A) & lattice(A) -> k2_lattice3(A) = relation_of_lattice(A))) # label(redefinition_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 487 (all A (-empty_carrier(A) & join_semilatt_str(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]. 1.72/2.08 488 (all A all B exists C (relation(C) & function(C) & relation_of2(C,A,B))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 489 (all A (relation(A) -> (all B all C ((all D ((exists E (in(E,B) & in(ordered_pair(E,D),A))) <-> in(D,C))) <-> relation_image(A,B) = C)))) # label(d13_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 490 (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]. 1.72/2.08 491 (all A (one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B)))) # label(t15_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 492 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> set_intersection2(B,C) = subset_intersection2(A,B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 493 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> element(subset_intersection2(A,B,C),powerset(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 494 (all A all B (relation(B) & empty(A) -> relation(relation_composition(A,B)) & empty(relation_composition(A,B)))) # label(fc9_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 495 (all A all B (in(A,B) -> set_union2(singleton(A),B) = B)) # label(l23_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 496 (all A all B (element(B,powerset(powerset(A))) -> (empty_set != B -> 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]. 1.72/2.08 497 (all A all B all C (function(C) & relation(C) & relation(B) -> ((all D all E all F (D = F & (exists I exists J (F = ordered_pair(I,J) & in(ordered_pair(apply(C,I),apply(C,J)),B))) & (exists G exists H (in(ordered_pair(apply(C,G),apply(C,H)),B) & ordered_pair(G,H) = E)) & E = D -> F = E)) -> (exists D all E (in(E,D) <-> (exists F ((exists K exists L (in(ordered_pair(apply(C,K),apply(C,L)),B) & ordered_pair(K,L) = E)) & E = F & in(F,cartesian_product2(A,A))))))))) # label(s1_tarski__e6_21__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 498 (all A all B all C (function(C) & relation(C) -> (in(B,relation_dom(relation_dom_restriction(C,A))) <-> in(B,relation_dom(C)) & in(B,A)))) # label(l82_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 499 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 500 (all A (-empty_carrier(A) & meet_semilatt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (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) # label(non_clause). [assumption]. 1.72/2.08 501 (all A (empty_set = bottom_of_semilattstr(boole_lattice(A)) & lower_bounded_semilattstr(boole_lattice(A)))) # label(t3_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.72/2.08 502 (all A all B all C ((all D (D = B | D = A <-> in(D,C))) <-> unordered_pair(A,B) = C)) # label(d2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 503 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.08 504 (all A exists B (in(A,B) & (all C all D (subset(D,C) & in(C,B) -> in(D,B))) & (all C -(subset(C,B) & -are_equipotent(C,B) & -in(C,B))) & (all C (in(C,B) -> in(powerset(C),B))))) # label(t136_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 505 (all A (one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A) <-> is_a_cover_of_carrier(A,B)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 506 (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]. 1.72/2.09 507 (all A (meet_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 508 (all A reflexive(inclusion_relation(A))) # label(t2_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 509 (all A all B all C (relation(C) & function(C) -> (in(B,A) -> apply(relation_dom_restriction(C,A),B) = apply(C,B)))) # label(t72_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 510 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 511 (all A all B (v2_membered(A) -> v1_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)))) # label(fc38_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 512 (all A all B (finite(B) & finite(A) -> finite(set_union2(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 513 (all A all B (equipotent(A,B) -> equipotent(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 514 (all A all B ((all C ((exists D (in(D,A) & in(C,D))) <-> in(C,B))) <-> B = union(A))) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 515 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(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 -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (F = C -> D = subset_complement(the_carrier(A),F)))) -> E = D)) & (all C -((all D -(all H (element(H,powerset(the_carrier(A))) -> (H = C -> subset_complement(the_carrier(A),H) = D)))) & in(C,complements_of_subsets(the_carrier(A),B)))) -> (exists C (function(C) & complements_of_subsets(the_carrier(A),B) = relation_dom(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(C)))))) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 516 (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]. 1.72/2.09 517 (all A all B all C all D all E all F (quasi_total(D,cartesian_product2(A,B),C) & relation_of2(D,cartesian_product2(A,B),C) & element(E,A) & element(F,B) & function(D) & -empty(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]. 1.72/2.09 518 (all A (relation(A) -> subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))) # label(t21_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 519 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(C) -> (in(A,relation_dom(C)) & in(apply(C,A),relation_dom(B)) <-> in(A,relation_dom(relation_composition(C,B)))))))) # label(t21_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 520 (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]. 1.72/2.09 521 (all A all B -(subset(A,B) & proper_subset(B,A))) # label(t60_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 522 (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]. 1.72/2.09 523 (all A all B set_union2(A,B) = set_union2(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 524 (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]. 1.72/2.09 525 (all A all B (proper_subset(A,B) -> -proper_subset(B,A))) # label(antisymmetry_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 526 (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]. 1.72/2.09 527 (all A all B (function(B) & relation(B) -> (subset(A,relation_rng(B)) -> A = relation_image(B,relation_inverse_image(B,A))))) # label(t147_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 528 (all A exists B all C (in(C,B) <-> ordinal(C) & in(C,A))) # label(s1_xboole_0__e6_22__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 529 (all A all B (in(A,B) -> B = set_union2(singleton(A),B))) # label(t46_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 530 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (closed_subset(B,A) <-> open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A)))))) # label(d6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 531 (all A (empty(A) -> v3_membered(A) & v5_membered(A) & v4_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 532 (all A all B ((all C (in(C,A) <-> in(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 533 (all A all B (latt_str(A) & element(B,the_carrier(A)) & lattice(A) & -empty_carrier(A) -> element(cast_to_el_of_LattPOSet(A,B),the_carrier(poset_of_lattice(A))))) # label(dt_k4_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 534 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 535 (all A all B (relation(B) -> (inclusion_relation(A) = B <-> A = relation_field(B) & (all C all D (in(D,A) & in(C,A) -> (subset(C,D) <-> in(ordered_pair(C,D),B))))))) # label(d1_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 536 (all A all B all C (relation_of2(B,cartesian_product2(A,A),A) & quasi_total(C,cartesian_product2(A,A),A) & relation_of2(C,cartesian_product2(A,A),A) & function(C) & quasi_total(B,cartesian_product2(A,A),A) & function(B) -> latt_str(latt_str_of(A,B,C)) & strict_latt_str(latt_str_of(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 537 (all A (relation(A) & function(A) -> (all B all C ((in(B,relation_dom(A)) -> (apply(A,B) = C <-> in(ordered_pair(B,C),A))) & (-in(B,relation_dom(A)) -> (empty_set = C <-> apply(A,B) = C)))))) # label(d4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 538 (all A all B all C (-empty_carrier(A) & join_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) -> element(join(A,B,C),the_carrier(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 539 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> (all C exists D all E ((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)) <-> in(E,D))))) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 540 (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]. 1.72/2.09 541 (all A all B subset(A,set_union2(A,B))) # label(t7_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 542 (all A (function(A) & relation(A) -> (one_to_one(A) <-> (all B all C (apply(A,C) = apply(A,B) & in(C,relation_dom(A)) & in(B,relation_dom(A)) -> C = B))))) # label(d8_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 543 (all A all B equipotent(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 544 (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]. 1.72/2.09 545 (all A all B (v5_membered(A) -> v2_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)) & v5_membered(set_intersection2(A,B)) & v4_membered(set_intersection2(A,B)) & v1_membered(set_intersection2(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 546 (all A all B (relation(B) -> set_intersection2(relation_dom(B),A) = relation_dom(relation_dom_restriction(B,A)))) # label(t90_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 547 (all A (relation(A) -> ((all B all C -(-in(ordered_pair(C,B),A) & -in(ordered_pair(B,C),A) & C != B & in(C,relation_field(A)) & in(B,relation_field(A)))) <-> connected(A)))) # label(l4_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 548 (all A (-empty_carrier(A) & join_semilatt_str(A) & join_associative(A) -> v2_binop_1(the_L_join(A),the_carrier(A)) & v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & function(the_L_join(A)) & relation(the_L_join(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 549 (all A (relation(A) -> (all B (relation(B) -> (subset(relation_rng(A),relation_dom(B)) -> relation_dom(A) = relation_dom(relation_composition(A,B))))))) # label(t46_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 550 (all A all B all C (C = set_intersection2(A,B) <-> (all D (in(D,C) <-> in(D,B) & in(D,A))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 551 (all A all B all C all D (relation(D) -> (in(A,C) & in(ordered_pair(A,B),D) <-> in(ordered_pair(A,B),relation_composition(identity_relation(C),D))))) # label(t74_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 552 (all A (relation(A) -> relation_rng(A) = relation_dom(relation_inverse(A)) & relation_rng(relation_inverse(A)) = relation_dom(A))) # label(t37_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 553 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 554 (all A (relation(A) -> (antisymmetric(A) & connected(A) & well_founded_relation(A) & transitive(A) & reflexive(A) <-> well_ordering(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 555 (all A (one_sorted_str(A) -> (all B (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) # label(non_clause). [assumption]. 1.72/2.09 556 (all A all B all C (relation(C) -> (in(ordered_pair(A,B),C) -> in(A,relation_field(C)) & in(B,relation_field(C))))) # label(t30_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 557 (all A all B all C (relation(C) -> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)))) # label(t140_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.09 558 (exists A top_str(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 559 (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]. 1.72/2.09 560 (all A all B all C all D all E all F (-empty(A) & -empty(B) & function(D) & relation_of2(D,cartesian_product2(A,B),C) & element(E,A) & element(F,B) & quasi_total(D,cartesian_product2(A,B),C) -> apply_binary(D,E,F) = apply_binary_as_element(A,B,C,D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 561 (all A (function(A) & relation(A) -> relation(function_inverse(A)) & function(function_inverse(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.09 562 (all A all B (in(A,B) <-> subset(singleton(A),B))) # label(t37_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 563 (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]. 1.72/2.39 564 (all A all B (element(B,powerset(A)) -> subset_complement(A,B) = set_difference(A,B))) # label(d5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 565 (all A (relation(A) -> A = relation_inverse(relation_inverse(A)))) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 566 (all A all B all C (C = set_difference(A,B) <-> (all D (in(D,C) <-> in(D,A) & -in(D,B))))) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 567 (all A (relation(A) -> (all B (B = relation_dom(A) <-> (all C (in(C,B) <-> (exists D in(ordered_pair(C,D),A)))))))) # label(d4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 568 (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]. 1.72/2.39 569 (all A all B (-empty(A) -> -empty(set_union2(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 570 (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]. 1.72/2.39 571 (all A (one_sorted_str(A) & -empty_carrier(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> -(is_a_cover_of_carrier(A,B) & empty_set = B))))) # label(t5_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 572 (all A (ordinal(A) -> connected(inclusion_relation(A)))) # label(t4_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 573 (in(empty_set,omega) -> (all A (element(A,powerset(powerset(empty_set))) -> -((all B -(in(B,A) & (all C (in(C,A) & subset(B,C) -> B = C)))) & A != empty_set)))) & (all D (ordinal(D) -> (being_limit_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))) & L != empty_set))))))) -> empty_set = D | (in(D,omega) -> (all O (element(O,powerset(powerset(D))) -> -((all P -((all Q (in(Q,O) & subset(P,Q) -> Q = P)) & in(P,O))) & empty_set != O))))))) & (all D (ordinal(D) -> ((in(D,omega) -> (all E (element(E,powerset(powerset(D))) -> -(empty_set != E & (all F -((all G (in(G,E) & subset(F,G) -> G = F)) & in(F,E))))))) -> (in(succ(D),omega) -> (all H (element(H,powerset(powerset(succ(D)))) -> -((all I -(in(I,H) & (all J (subset(I,J) & in(J,H) -> I = J)))) & H != empty_set))))))) -> (all D (ordinal(D) -> (in(D,omega) -> (all R (element(R,powerset(powerset(D))) -> -((all S -(in(S,R) & (all T (subset(S,T) & in(T,R) -> S = T)))) & R != empty_set)))))) # label(s1_ordinal2__e18_27__finset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 574 (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]. 1.72/2.39 575 (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 (subset(D,E) & in(E,C) -> D = E))))))))))) -> (in(A,omega) -> (all F (element(F,powerset(powerset(A))) -> -((all G -((all H (subset(G,H) & in(H,F) -> G = H)) & in(G,F))) & empty_set != F))))))) -> (all A (ordinal(A) -> (in(A,omega) -> (all I (element(I,powerset(powerset(A))) -> -(I != empty_set & (all J -((all K (in(K,I) & subset(J,K) -> K = J)) & in(J,I))))))))) # label(s2_ordinal1__e18_27__finset_1__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 576 (all A all B all C (in(A,B) & element(B,powerset(C)) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 577 (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 (E = ordered_pair(F,G) & (all H (element(H,powerset(the_carrier(A))) -> (F = H -> subset_complement(the_carrier(A),H) = G))) & in(F,complements_of_subsets(the_carrier(A),B)))) & in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)))))) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 578 (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]. 1.72/2.39 579 (all A all B (v1_membered(A) -> v1_membered(set_intersection2(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 580 (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]. 1.72/2.39 581 (all A all B all C all D (in(A,C) & in(B,D) <-> in(ordered_pair(A,B),cartesian_product2(C,D)))) # label(t106_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 582 (all A (rel_str(A) -> (transitive_relstr(A) <-> is_transitive_in(the_InternalRel(A),the_carrier(A))))) # label(d5_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 583 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> B = subset_intersection2(A,B,B))) # label(idempotence_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 584 (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)))) <-> relation_dom_as_subset(B,A,C) = B))) # label(t22_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 585 (all A (function(A) & relation(A) -> (all B all C ((all D (in(D,C) <-> (exists E (in(E,relation_dom(A)) & in(E,B) & apply(A,E) = D)))) <-> relation_image(A,B) = C)))) # label(d12_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 586 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> element(subset_union2(A,B,C),powerset(A)))) # label(dt_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 587 (exists A (v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A) & -empty(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 588 (all A (A = union(A) <-> being_limit_ordinal(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 589 (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]. 1.72/2.39 590 (all A (relation(A) -> (is_transitive_in(A,relation_field(A)) <-> transitive(A)))) # label(d16_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 591 (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]. 1.72/2.39 592 (all A (lattice(A) & latt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(poset_of_lattice(A))) -> cast_to_el_of_lattice(A,B) = B)))) # label(d4_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 593 (all A all B (B = singleton(A) <-> (all C (in(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 594 (all A all B (relation(B) & relation(A) -> relation(set_intersection2(A,B)))) # label(fc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 595 (all A ((exists B exists C A = ordered_pair(B,C)) -> (all B (pair_first(A) = B <-> (all C all D (ordered_pair(C,D) = A -> B = C)))))) # label(d1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 596 (all A all B all C (relation_of2(C,A,B) -> relation_rng_as_subset(A,B,C) = relation_rng(C))) # label(redefinition_k5_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 597 (exists A (-empty(A) & finite(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.39 598 (all A (ordinal(A) -> well_ordering(inclusion_relation(A)))) # label(t7_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.72/2.39 599 (all A all B (relation(B) -> (connected(B) -> connected(relation_restriction(B,A))))) # label(t23_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 600 (all A all B (-empty(A) & relation(B) -> (all C exists D all E (in(E,D) <-> (exists F exists G (ordered_pair(F,G) = E & in(F,A) & (exists H (in(G,H) & (all I (in(I,H) -> in(ordered_pair(G,I),B))) & H = F)))) & in(E,cartesian_product2(A,C)))))) # label(s1_xboole_0__e10_24__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 601 (all A (ordinal(A) -> (exists B all C (in(C,B) <-> (exists D ((in(D,omega) -> (all E (element(E,powerset(powerset(D))) -> -(E != empty_set & (all F -((all G (in(G,E) & subset(F,G) -> G = F)) & in(F,E))))))) & C = D & ordinal(D))) & in(C,succ(A)))))) # label(s1_xboole_0__e18_27__finset_1__1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 602 (all A all B A = set_union2(A,A)) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 603 (all A all B (ordinal(A) & ordinal(B) -> (subset(A,B) <-> ordinal_subset(A,B)))) # label(redefinition_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 604 (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]. 1.72/2.40 605 (all A all B ((A != empty_set -> (set_meet(A) = B <-> (all C ((all D (in(D,A) -> in(C,D))) <-> in(C,B))))) & (empty_set = A -> (empty_set = B <-> B = set_meet(A))))) # label(d1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 606 (all A all B all C (-empty_carrier(A) & meet_commutative(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & meet_semilatt_str(A) -> meet(A,B,C) = meet_commut(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 607 (all A all B all C (relation(C) -> (in(A,relation_rng(relation_rng_restriction(B,C))) <-> in(A,relation_rng(C)) & in(A,B)))) # label(t115_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 608 (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]. 1.72/2.40 609 (all A all B (relation_of2(B,A,A) -> (all C all D (rel_str_of(A,B) = rel_str_of(C,D) -> A = C & B = D)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 610 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_isomorphism(A,B,C) -> (transitive(A) -> transitive(B)) & (connected(A) -> connected(B)) & (antisymmetric(A) -> antisymmetric(B)) & (well_founded_relation(A) -> well_founded_relation(B)) & (reflexive(A) -> reflexive(B))))))))) # label(t53_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 611 (all A all B (ordinal(B) -> ((all C all D all E ((exists G (ordinal(G) & in(G,A) & G = E)) & C = E & (exists F (ordinal(F) & F = D & in(F,A))) & C = D -> E = D)) -> (exists C all D ((exists E (in(E,succ(B)) & D = E & (exists H (in(H,A) & H = D & ordinal(H))))) <-> in(D,C)))))) # label(s1_tarski__e8_6__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 612 (all A all B (relation(B) -> -(A != empty_set & empty_set = relation_inverse_image(B,A) & subset(A,relation_rng(B))))) # label(t174_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 613 (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]. 1.72/2.40 614 (all A all B all C (subset(A,B) & subset(A,C) -> subset(A,set_intersection2(B,C)))) # label(t19_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.72/2.40 615 (exists A (epsilon_transitive(A) & epsilon_connected(A) & being_limit_ordinal(A) & ordinal(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.72/2.40 616 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> (exists C ((all D (element(D,powerset(the_carrier(A))) -> (in(D,C) <-> (exists E (element(E,powerset(the_carrier(A))) & subset(B,D) & closed_subset(E,A) & E = D))))) & element(C,powerset(powerset(the_carrier(A)))))))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma) # label(non_clause). [assumption]. 2.24/2.50 617 (all A all B (-(disjoint(A,B) & (exists C in(C,set_intersection2(A,B)))) & -((all C -in(C,set_intersection2(A,B))) & -disjoint(A,B)))) # label(t4_xboole_0) # label(lemma) # label(non_clause). [assumption]. 2.24/2.50 618 (all A (one_sorted_str(A) -> v1_membered(empty_carrier_subset(A)) & v2_membered(empty_carrier_subset(A)) & v3_membered(empty_carrier_subset(A)) & v5_membered(empty_carrier_subset(A)) & v4_membered(empty_carrier_subset(A)) & empty(empty_carrier_subset(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 619 (all A all B (are_equipotent(A,B) <-> equipotent(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 620 (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]. 2.24/2.50 621 (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]. 2.24/2.50 622 (all A (top_str(A) & topological_space(A) -> closed_subset(cast_as_carrier_subset(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 623 (all A (-empty_carrier(A) & meet_commutative(A) & latt_str(A) & meet_absorbing(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]. 2.24/2.50 624 (all A all B (relation(B) -> relation(relation_rng_restriction(A,B)))) # label(dt_k8_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 625 (all A (diff_closed(powerset(A)) & preboolean(powerset(A)) & cup_closed(powerset(A)) & -empty(powerset(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 626 (all A (relation(A) & one_to_one(A) & function(A) -> relation(relation_inverse(A)) & function(relation_inverse(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 627 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.24/2.50 628 -(all A all B (lattice(B) & latt_str(B) & -empty_carrier(B) -> (all C (element(C,the_carrier(poset_of_lattice(B))) -> (latt_set_smaller(B,cast_to_el_of_lattice(B,C),A) <-> relstr_element_smaller(poset_of_lattice(B),A,C)))))) # label(t29_lattice3) # label(negated_conjecture) # label(non_clause). [assumption]. 2.24/2.50 2.24/2.50 ============================== end of process non-clausal formulas === 2.24/2.50 2.24/2.50 ============================== PROCESS INITIAL CLAUSES =============== 2.24/2.50 2.24/2.50 ============================== PREDICATE ELIMINATION ================= 2.24/2.50 629 -top_str(A) | one_sorted_str(A) # label(dt_l1_pre_topc) # label(axiom). [clausify(61)]. 2.24/2.50 630 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 631 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 632 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 633 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 634 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 635 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 636 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 637 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f2(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 638 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 639 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 640 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 641 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 642 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 643 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 644 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 645 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 646 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | in(f9(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 647 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f10(B,A,D,E) | subset_complement(the_carrier(B),F) = f11(B,A,D,E) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 648 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | in(f10(B,A,D,E),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 649 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | ordered_pair(f10(B,A,D,E),f11(B,A,D,E)) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 650 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | f9(B,A,D,E) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 651 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f12(B,A,D,E,F,V6,V7),powerset(the_carrier(B))) | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 652 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f12(B,A,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 653 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f12(B,A,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 654 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 655 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 656 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 657 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 658 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 659 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 660 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 661 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 662 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 663 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 664 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 665 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 666 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 667 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 668 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 669 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 670 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 671 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 672 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 673 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 674 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 675 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 676 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 677 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 678 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | in(f9(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 679 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f10(B,A,D,E) | subset_complement(the_carrier(B),F) = f11(B,A,D,E) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 680 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | in(f10(B,A,D,E),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 681 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | ordered_pair(f10(B,A,D,E),f11(B,A,D,E)) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 682 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | f9(B,A,D,E) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 683 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f12(B,A,D,E,F,V6,V7),powerset(the_carrier(B))) | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 684 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f12(B,A,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 685 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f12(B,A,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 686 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 687 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 688 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 689 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 690 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 691 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 692 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 693 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 694 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 695 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 696 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 697 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 698 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 699 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 700 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 701 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f3(B,A,C) != f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(3)]. 2.24/2.50 702 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | relation(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 703 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 704 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(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(14)]. 2.24/2.50 705 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 706 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 707 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 708 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | function(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 709 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | relation(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 710 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 711 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(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(14)]. 2.24/2.50 712 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 713 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 714 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 715 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | function(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 716 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 717 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 718 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(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(14)]. 2.24/2.50 719 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 720 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 721 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 722 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | function(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 723 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | relation(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 724 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 725 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(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(14)]. 2.24/2.50 726 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 727 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 728 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 729 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | function(f24(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(14)]. 2.24/2.50 730 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 731 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 732 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 733 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 734 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 735 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 736 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 737 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 738 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 739 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 740 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 741 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 742 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 743 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 744 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 745 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 746 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 747 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 748 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 749 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 750 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 751 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 752 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 753 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 754 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 755 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 756 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 757 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 758 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 759 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 760 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 761 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 762 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 763 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 764 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 765 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 766 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 767 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 768 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 769 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 770 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 771 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 772 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 773 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 774 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 775 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 776 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 777 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 778 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 779 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 780 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 781 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 782 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 783 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 784 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 785 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 786 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 787 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 788 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 789 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 790 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 791 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 792 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.24/2.50 793 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(44)]. 2.28/2.53 794 -one_sorted_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))) # label(dt_k2_pre_topc) # label(axiom). [clausify(53)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,630,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,631,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,632,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,633,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,634,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,635,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,636,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,637,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,638,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,639,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,640,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,641,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,642,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,643,b)]. 2.28/2.53 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,644,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,645,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(629,b,646,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(629,b,647,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,648,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(629,b,649,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(629,b,650,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(629,b,651,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(629,b,652,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(629,b,653,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,654,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,655,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,656,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,657,b)]. 2.28/2.54 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,658,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,659,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,660,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,661,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,662,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,663,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,664,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,665,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,666,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,667,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,668,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,669,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,670,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,671,b)]. 2.28/2.56 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,672,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,673,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,674,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,675,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,676,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,677,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(629,b,678,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(629,b,679,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,680,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(629,b,681,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(629,b,682,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(629,b,683,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(629,b,684,b)]. 2.28/2.58 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(629,b,685,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,686,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,687,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,688,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,689,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,690,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,691,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,692,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,693,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(629,b,694,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(629,b,695,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(629,b,696,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(629,b,697,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(629,b,698,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,699,b)]. 2.28/2.60 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,700,b)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(629,b,701,b)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | relation(f24(A,B)). [resolve(629,b,702,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(629,b,703,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(629,b,704,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(629,b,705,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(629,b,706,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(629,b,707,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | function(f24(A,B)). [resolve(629,b,708,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | relation(f24(A,B)). [resolve(629,b,709,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(629,b,710,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(629,b,711,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(629,b,712,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(629,b,713,a)]. 2.35/2.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(629,b,714,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | function(f24(A,B)). [resolve(629,b,715,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f24(A,B)). [resolve(629,b,716,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(629,b,717,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(629,b,718,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(629,b,719,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(629,b,720,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(629,b,721,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | function(f24(A,B)). [resolve(629,b,722,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | relation(f24(A,B)). [resolve(629,b,723,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(629,b,724,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(629,b,725,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(629,b,726,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(629,b,727,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(629,b,728,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | function(f24(A,B)). [resolve(629,b,729,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(629,b,730,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(629,b,731,a)]. 2.35/2.64 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(629,b,732,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(629,b,733,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,734,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(629,b,735,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(629,b,736,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(629,b,737,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,738,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(629,b,739,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(629,b,740,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(629,b,741,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,742,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(629,b,743,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(629,b,744,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(629,b,745,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,746,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(629,b,747,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(629,b,748,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(629,b,749,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(629,b,750,a)]. 2.35/2.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(629,b,751,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(629,b,752,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(629,b,753,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(629,b,754,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(629,b,755,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(629,b,756,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(629,b,757,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(629,b,758,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(629,b,759,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(629,b,760,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(629,b,761,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,762,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(629,b,763,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(629,b,764,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(629,b,765,a)]. 2.42/2.69 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(629,b,766,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(629,b,767,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(629,b,768,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(629,b,769,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(629,b,770,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(629,b,771,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(629,b,772,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(629,b,773,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(629,b,774,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(629,b,775,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(629,b,776,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(629,b,777,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(629,b,778,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(629,b,779,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(629,b,780,a)]. 2.42/2.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(629,b,781,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,782,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(629,b,783,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(629,b,784,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(629,b,785,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,786,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(629,b,787,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(629,b,788,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(629,b,789,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(629,b,790,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(629,b,791,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(629,b,792,a)]. 2.51/2.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(629,b,793,a)]. 2.51/2.79 Derived: -top_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(629,b,794,a)]. 2.51/2.79 795 -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(92)]. 2.51/2.79 Derived: -element(A,powerset(the_carrier(B))) | subset_difference(the_carrier(B),cast_as_carrier_subset(B),A) = subset_complement(the_carrier(B),A) | -top_str(B). [resolve(795,a,629,b)]. 2.51/2.79 796 empty_carrier(A) | -one_sorted_str(A) | -empty(f93(A)) # label(rc5_struct_0) # label(axiom). [clausify(140)]. 2.51/2.79 Derived: empty_carrier(A) | -empty(f93(A)) | -top_str(A). [resolve(796,b,629,b)]. 2.51/2.79 797 empty_carrier(A) | -one_sorted_str(A) | element(f93(A),powerset(the_carrier(A))) # label(rc5_struct_0) # label(axiom). [clausify(140)]. 2.51/2.79 Derived: empty_carrier(A) | element(f93(A),powerset(the_carrier(A))) | -top_str(A). [resolve(797,b,629,b)]. 2.51/2.79 798 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | relation(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.51/2.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | relation(f124(B,A)) | -top_str(B). [resolve(798,b,629,b)]. 2.51/2.79 799 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | -in(ordered_pair(C,D),f124(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | -in(ordered_pair(C,D),f124(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(799,b,629,b)]. 2.54/2.80 800 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | -in(ordered_pair(C,D),f124(B,A)) | in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | -in(ordered_pair(C,D),f124(B,A)) | in(C,A) | -top_str(B). [resolve(800,b,629,b)]. 2.54/2.80 801 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | element(f125(B,A,C,D),powerset(the_carrier(B))) | -in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | element(f125(B,A,C,D),powerset(the_carrier(B))) | -in(C,A) | -top_str(B). [resolve(801,b,629,b)]. 2.54/2.80 802 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | f125(B,A,C,D) = C | -in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | f125(B,A,C,D) = C | -in(C,A) | -top_str(B). [resolve(802,b,629,b)]. 2.54/2.80 803 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,C,D)) != D | -in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,C,D)) != D | -in(C,A) | -top_str(B). [resolve(803,b,629,b)]. 2.54/2.80 804 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f121(B,A),A) | function(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | function(f124(B,A)) | -top_str(B). [resolve(804,b,629,b)]. 2.54/2.80 805 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | relation(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | relation(f124(B,A)) | -top_str(B). [resolve(805,b,629,b)]. 2.54/2.80 806 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | -in(ordered_pair(D,E),f124(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | -in(ordered_pair(D,E),f124(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(806,b,629,b)]. 2.54/2.80 807 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | -in(ordered_pair(D,E),f124(B,A)) | in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | -in(ordered_pair(D,E),f124(B,A)) | in(D,A) | -top_str(B). [resolve(807,b,629,b)]. 2.54/2.80 808 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | element(f125(B,A,D,E),powerset(the_carrier(B))) | -in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | element(f125(B,A,D,E),powerset(the_carrier(B))) | -in(D,A) | -top_str(B). [resolve(808,b,629,b)]. 2.54/2.81 809 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | f125(B,A,D,E) = D | -in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | f125(B,A,D,E) = D | -in(D,A) | -top_str(B). [resolve(809,b,629,b)]. 2.54/2.81 810 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,D,E)) != E | -in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,D,E)) != E | -in(D,A) | -top_str(B). [resolve(810,b,629,b)]. 2.54/2.81 811 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | function(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | function(f124(B,A)) | -top_str(B). [resolve(811,b,629,b)]. 2.54/2.81 812 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | relation(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | relation(f124(B,A)) | -top_str(B). [resolve(812,b,629,b)]. 2.54/2.81 813 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | -in(ordered_pair(D,E),f124(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | -in(ordered_pair(D,E),f124(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(813,b,629,b)]. 2.54/2.81 814 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | -in(ordered_pair(D,E),f124(B,A)) | in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | -in(ordered_pair(D,E),f124(B,A)) | in(D,A) | -top_str(B). [resolve(814,b,629,b)]. 2.54/2.81 815 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | element(f125(B,A,D,E),powerset(the_carrier(B))) | -in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | element(f125(B,A,D,E),powerset(the_carrier(B))) | -in(D,A) | -top_str(B). [resolve(815,b,629,b)]. 2.54/2.82 816 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | f125(B,A,D,E) = D | -in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | f125(B,A,D,E) = D | -in(D,A) | -top_str(B). [resolve(816,b,629,b)]. 2.54/2.82 817 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,D,E)) != E | -in(D,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,D,E)) != E | -in(D,A) | -top_str(B). [resolve(817,b,629,b)]. 2.54/2.82 818 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | function(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | function(f124(B,A)) | -top_str(B). [resolve(818,b,629,b)]. 2.54/2.82 819 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | relation(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | relation(f124(B,A)) | -top_str(B). [resolve(819,b,629,b)]. 2.54/2.82 820 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | -in(ordered_pair(C,D),f124(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | -in(ordered_pair(C,D),f124(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(820,b,629,b)]. 2.54/2.82 821 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | -in(ordered_pair(C,D),f124(B,A)) | in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | -in(ordered_pair(C,D),f124(B,A)) | in(C,A) | -top_str(B). [resolve(821,b,629,b)]. 2.54/2.82 822 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | element(f125(B,A,C,D),powerset(the_carrier(B))) | -in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.54/2.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | element(f125(B,A,C,D),powerset(the_carrier(B))) | -in(C,A) | -top_str(B). [resolve(822,b,629,b)]. 2.58/2.84 823 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | f125(B,A,C,D) = C | -in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.58/2.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | f125(B,A,C,D) = C | -in(C,A) | -top_str(B). [resolve(823,b,629,b)]. 2.58/2.84 824 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,C,D)) != D | -in(C,A) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.58/2.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,C,D)) != D | -in(C,A) | -top_str(B). [resolve(824,b,629,b)]. 2.58/2.84 825 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f123(B,A) != f122(B,A) | function(f124(B,A)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(178)]. 2.58/2.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | function(f124(B,A)) | -top_str(B). [resolve(825,b,629,b)]. 2.58/2.84 826 -one_sorted_str(A) | cast_as_carrier_subset(A) = the_carrier(A) # label(t12_pre_topc) # label(lemma). [clausify(179)]. 2.58/2.84 Derived: cast_as_carrier_subset(A) = the_carrier(A) | -top_str(A). [resolve(826,a,629,b)]. 2.58/2.84 827 -join_semilatt_str(A) | one_sorted_str(A) # label(dt_l2_lattices) # label(axiom). [clausify(188)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,630,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,631,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,632,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,633,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,634,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,635,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,636,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,637,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,638,b)]. 2.58/2.84 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,639,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,640,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,641,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,642,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,643,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,644,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,645,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(827,b,646,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(827,b,647,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,648,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(827,b,649,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(827,b,650,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(827,b,651,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(827,b,652,b)]. 2.58/2.86 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(827,b,653,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,654,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,655,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,656,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,657,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,658,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,659,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,660,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,661,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,662,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,663,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,664,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,665,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,666,b)]. 2.58/2.87 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,667,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,668,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,669,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,670,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,671,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,672,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,673,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,674,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,675,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,676,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,677,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(827,b,678,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(827,b,679,b)]. 2.58/2.89 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,680,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(827,b,681,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(827,b,682,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(827,b,683,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(827,b,684,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(827,b,685,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,686,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,687,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,688,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,689,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,690,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,691,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,692,b)]. 2.58/2.90 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,693,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(827,b,694,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(827,b,695,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(827,b,696,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(827,b,697,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(827,b,698,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,699,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,700,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(827,b,701,b)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | relation(f24(A,B)). [resolve(827,b,702,a)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(827,b,703,a)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(827,b,704,a)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(827,b,705,a)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(827,b,706,a)]. 2.58/2.92 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(827,b,707,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | function(f24(A,B)). [resolve(827,b,708,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | relation(f24(A,B)). [resolve(827,b,709,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(827,b,710,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(827,b,711,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(827,b,712,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(827,b,713,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(827,b,714,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | function(f24(A,B)). [resolve(827,b,715,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f24(A,B)). [resolve(827,b,716,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(827,b,717,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(827,b,718,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(827,b,719,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(827,b,720,a)]. 2.58/2.94 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(827,b,721,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | function(f24(A,B)). [resolve(827,b,722,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | relation(f24(A,B)). [resolve(827,b,723,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(827,b,724,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(827,b,725,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(827,b,726,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(827,b,727,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(827,b,728,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | function(f24(A,B)). [resolve(827,b,729,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(827,b,730,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(827,b,731,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(827,b,732,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(827,b,733,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,734,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(827,b,735,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(827,b,736,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(827,b,737,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,738,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(827,b,739,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(827,b,740,a)]. 2.69/2.96 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(827,b,741,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,742,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(827,b,743,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(827,b,744,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(827,b,745,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,746,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(827,b,747,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(827,b,748,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(827,b,749,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(827,b,750,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(827,b,751,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(827,b,752,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(827,b,753,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(827,b,754,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(827,b,755,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(827,b,756,a)]. 2.69/2.98 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(827,b,757,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(827,b,758,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(827,b,759,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(827,b,760,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(827,b,761,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,762,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(827,b,763,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(827,b,764,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(827,b,765,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(827,b,766,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(827,b,767,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(827,b,768,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(827,b,769,a)]. 2.69/2.99 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(827,b,770,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(827,b,771,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(827,b,772,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(827,b,773,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(827,b,774,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(827,b,775,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(827,b,776,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(827,b,777,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(827,b,778,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(827,b,779,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(827,b,780,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(827,b,781,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,782,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(827,b,783,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(827,b,784,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(827,b,785,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,786,a)]. 2.69/3.01 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(827,b,787,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(827,b,788,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(827,b,789,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(827,b,790,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(827,b,791,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(827,b,792,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(827,b,793,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(827,b,794,a)]. 2.77/3.03 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(827,b,795,a)]. 2.77/3.03 Derived: -join_semilatt_str(A) | empty_carrier(A) | -empty(f93(A)). [resolve(827,b,796,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | empty_carrier(A) | element(f93(A),powerset(the_carrier(A))). [resolve(827,b,797,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | relation(f124(A,B)). [resolve(827,b,798,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(827,b,799,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(827,b,800,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(827,b,801,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(827,b,802,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(827,b,803,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | function(f124(A,B)). [resolve(827,b,804,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | relation(f124(A,B)). [resolve(827,b,805,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(827,b,806,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(827,b,807,b)]. 2.77/3.03 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(827,b,808,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(827,b,809,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(827,b,810,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | function(f124(A,B)). [resolve(827,b,811,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | relation(f124(A,B)). [resolve(827,b,812,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(827,b,813,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(827,b,814,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(827,b,815,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(827,b,816,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(827,b,817,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | function(f124(A,B)). [resolve(827,b,818,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | relation(f124(A,B)). [resolve(827,b,819,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(827,b,820,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(827,b,821,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(827,b,822,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(827,b,823,b)]. 2.77/3.05 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(827,b,824,b)]. 2.87/3.12 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | function(f124(A,B)). [resolve(827,b,825,b)]. 2.87/3.12 Derived: -join_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(827,b,826,a)]. 2.87/3.12 828 -one_sorted_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)) # label(fc2_pre_topc) # label(axiom). [clausify(244)]. 2.87/3.12 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -top_str(A). [resolve(828,a,629,b)]. 2.87/3.12 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -join_semilatt_str(A). [resolve(828,a,827,b)]. 2.87/3.12 829 one_sorted_str(c13) # label(rc3_struct_0) # label(axiom). [clausify(268)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,630,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,631,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,632,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,633,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,634,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,635,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,636,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f2(c13,A,B) = f1(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,637,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,638,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,639,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,640,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,641,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,642,b)]. 2.87/3.12 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,643,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,644,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) = f1(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,645,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | -in(D,f8(c13,A,C)) | in(f9(c13,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)). [resolve(829,a,646,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | -in(D,f8(c13,A,C)) | -element(E,powerset(the_carrier(c13))) | E != f10(c13,A,C,D) | subset_complement(the_carrier(c13),E) = f11(c13,A,C,D). [resolve(829,a,647,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | -in(D,f8(c13,A,C)) | in(f10(c13,A,C,D),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,648,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | -in(D,f8(c13,A,C)) | ordered_pair(f10(c13,A,C,D),f11(c13,A,C,D)) = D. [resolve(829,a,649,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | -in(D,f8(c13,A,C)) | f9(c13,A,C,D) = D. [resolve(829,a,650,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | in(D,f8(c13,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)) | element(f12(c13,A,C,D,E,F,V6),powerset(the_carrier(c13))) | -in(F,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(F,V6) != D | E != D. [resolve(829,a,651,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | in(D,f8(c13,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)) | f12(c13,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(F,V6) != D | E != D. [resolve(829,a,652,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f4(c13,A,C) | subset_complement(the_carrier(c13),B) = f5(c13,A,C) | in(D,f8(c13,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)) | subset_complement(the_carrier(c13),f12(c13,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(F,V6) != D | E != D. [resolve(829,a,653,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,654,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,655,b)]. 2.87/3.13 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,656,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,657,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,658,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,659,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,660,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f4(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,661,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,662,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,663,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,664,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,665,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,666,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,667,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,668,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f4(c13,A,B),f5(c13,A,B)) = f3(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,669,b)]. 2.87/3.15 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,670,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,671,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,672,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,673,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,674,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,675,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,676,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f6(c13,A,B),f7(c13,A,B)) = f2(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,677,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | -in(D,f8(c13,A,C)) | in(f9(c13,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)). [resolve(829,a,678,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | -in(D,f8(c13,A,C)) | -element(E,powerset(the_carrier(c13))) | E != f10(c13,A,C,D) | subset_complement(the_carrier(c13),E) = f11(c13,A,C,D). [resolve(829,a,679,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | -in(D,f8(c13,A,C)) | in(f10(c13,A,C,D),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,680,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | -in(D,f8(c13,A,C)) | ordered_pair(f10(c13,A,C,D),f11(c13,A,C,D)) = D. [resolve(829,a,681,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | -in(D,f8(c13,A,C)) | f9(c13,A,C,D) = D. [resolve(829,a,682,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | in(D,f8(c13,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)) | element(f12(c13,A,C,D,E,F,V6),powerset(the_carrier(c13))) | -in(F,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(F,V6) != D | E != D. [resolve(829,a,683,b)]. 2.87/3.16 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | in(D,f8(c13,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)) | f12(c13,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(F,V6) != D | E != D. [resolve(829,a,684,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f6(c13,A,C) | subset_complement(the_carrier(c13),B) = f7(c13,A,C) | in(D,f8(c13,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)) | subset_complement(the_carrier(c13),f12(c13,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(F,V6) != D | E != D. [resolve(829,a,685,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,686,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,687,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,688,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,689,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,690,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,691,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,692,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f6(c13,A,B),complements_of_subsets(the_carrier(c13),A)) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,693,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | -in(C,f8(c13,A,B)) | in(f9(c13,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)). [resolve(829,a,694,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | -in(C,f8(c13,A,B)) | -element(D,powerset(the_carrier(c13))) | D != f10(c13,A,B,C) | subset_complement(the_carrier(c13),D) = f11(c13,A,B,C). [resolve(829,a,695,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | -in(C,f8(c13,A,B)) | in(f10(c13,A,B,C),complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,696,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | -in(C,f8(c13,A,B)) | ordered_pair(f10(c13,A,B,C),f11(c13,A,B,C)) = C. [resolve(829,a,697,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | -in(C,f8(c13,A,B)) | f9(c13,A,B,C) = C. [resolve(829,a,698,b)]. 2.87/3.18 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | element(f12(c13,A,B,C,D,E,F),powerset(the_carrier(c13))) | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,699,b)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | f12(c13,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,700,b)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f3(c13,A,B) != f2(c13,A,B) | in(C,f8(c13,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c13),A),B)) | subset_complement(the_carrier(c13),f12(c13,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c13),A)) | ordered_pair(E,F) != C | D != C. [resolve(829,a,701,b)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | relation(f24(c13,A)). [resolve(829,a,702,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | -in(ordered_pair(C,D),f24(c13,A)) | in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,703,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | -in(ordered_pair(C,D),f24(c13,A)) | -element(E,powerset(the_carrier(c13))) | E != C | subset_complement(the_carrier(c13),E) = D. [resolve(829,a,704,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | in(ordered_pair(C,D),f24(c13,A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | element(f25(c13,A,C,D),powerset(the_carrier(c13))). [resolve(829,a,705,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | in(ordered_pair(C,D),f24(c13,A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | f25(c13,A,C,D) = C. [resolve(829,a,706,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | in(ordered_pair(C,D),f24(c13,A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f25(c13,A,C,D)) != D. [resolve(829,a,707,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f22(c13,A) | function(f24(c13,A)). [resolve(829,a,708,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | relation(f24(c13,A)). [resolve(829,a,709,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | -in(ordered_pair(C,D),f24(c13,A)) | in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,710,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | -in(ordered_pair(C,D),f24(c13,A)) | -element(E,powerset(the_carrier(c13))) | E != C | subset_complement(the_carrier(c13),E) = D. [resolve(829,a,711,a)]. 2.87/3.19 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | in(ordered_pair(C,D),f24(c13,A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | element(f25(c13,A,C,D),powerset(the_carrier(c13))). [resolve(829,a,712,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | in(ordered_pair(C,D),f24(c13,A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | f25(c13,A,C,D) = C. [resolve(829,a,713,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | in(ordered_pair(C,D),f24(c13,A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f25(c13,A,C,D)) != D. [resolve(829,a,714,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f21(c13,A) | subset_complement(the_carrier(c13),B) = f23(c13,A) | function(f24(c13,A)). [resolve(829,a,715,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation(f24(c13,A)). [resolve(829,a,716,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(ordered_pair(B,C),f24(c13,A)) | in(B,complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,717,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(ordered_pair(B,C),f24(c13,A)) | -element(D,powerset(the_carrier(c13))) | D != B | subset_complement(the_carrier(c13),D) = C. [resolve(829,a,718,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(ordered_pair(B,C),f24(c13,A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | element(f25(c13,A,B,C),powerset(the_carrier(c13))). [resolve(829,a,719,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(ordered_pair(B,C),f24(c13,A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | f25(c13,A,B,C) = B. [resolve(829,a,720,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(ordered_pair(B,C),f24(c13,A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f25(c13,A,B,C)) != C. [resolve(829,a,721,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f21(c13,A),complements_of_subsets(the_carrier(c13),A)) | function(f24(c13,A)). [resolve(829,a,722,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | relation(f24(c13,A)). [resolve(829,a,723,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | -in(ordered_pair(B,C),f24(c13,A)) | in(B,complements_of_subsets(the_carrier(c13),A)). [resolve(829,a,724,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | -in(ordered_pair(B,C),f24(c13,A)) | -element(D,powerset(the_carrier(c13))) | D != B | subset_complement(the_carrier(c13),D) = C. [resolve(829,a,725,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | in(ordered_pair(B,C),f24(c13,A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | element(f25(c13,A,B,C),powerset(the_carrier(c13))). [resolve(829,a,726,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | in(ordered_pair(B,C),f24(c13,A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | f25(c13,A,B,C) = B. [resolve(829,a,727,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | in(ordered_pair(B,C),f24(c13,A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f25(c13,A,B,C)) != C. [resolve(829,a,728,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f23(c13,A) != f22(c13,A) | function(f24(c13,A)). [resolve(829,a,729,a)]. 2.95/3.21 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | in(f47(c13,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c13))) | C != B | apply(f49(c13,A),B) = subset_complement(the_carrier(c13),C). [resolve(829,a,730,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | in(f47(c13,A),A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,731,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | in(f47(c13,A),A) | function(f49(c13,A)). [resolve(829,a,732,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | in(f47(c13,A),A) | relation(f49(c13,A)). [resolve(829,a,733,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,734,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | relation_dom(f49(c13,A)) = A. [resolve(829,a,735,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | function(f49(c13,A)). [resolve(829,a,736,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | relation(f49(c13,A)). [resolve(829,a,737,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | f48(c13,A,B) = f47(c13,A) | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,738,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | f48(c13,A,B) = f47(c13,A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,739,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | f48(c13,A,B) = f47(c13,A) | function(f49(c13,A)). [resolve(829,a,740,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | f48(c13,A,B) = f47(c13,A) | relation(f49(c13,A)). [resolve(829,a,741,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,742,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | relation_dom(f49(c13,A)) = A. [resolve(829,a,743,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | function(f49(c13,A)). [resolve(829,a,744,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f44(c13,A),A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | relation(f49(c13,A)). [resolve(829,a,745,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | in(f47(c13,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,746,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | in(f47(c13,A),A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,747,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | in(f47(c13,A),A) | function(f49(c13,A)). [resolve(829,a,748,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | in(f47(c13,A),A) | relation(f49(c13,A)). [resolve(829,a,749,a)]. 2.95/3.23 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | -in(D,A) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f49(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(829,a,750,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | relation_dom(f49(c13,A)) = A. [resolve(829,a,751,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | function(f49(c13,A)). [resolve(829,a,752,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | relation(f49(c13,A)). [resolve(829,a,753,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | f48(c13,A,C) = f47(c13,A) | -in(D,A) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f49(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(829,a,754,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | f48(c13,A,C) = f47(c13,A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,755,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | f48(c13,A,C) = f47(c13,A) | function(f49(c13,A)). [resolve(829,a,756,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | f48(c13,A,C) = f47(c13,A) | relation(f49(c13,A)). [resolve(829,a,757,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f49(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(829,a,758,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | relation_dom(f49(c13,A)) = A. [resolve(829,a,759,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | function(f49(c13,A)). [resolve(829,a,760,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | relation(f49(c13,A)). [resolve(829,a,761,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | in(f47(c13,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,762,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | in(f47(c13,A),A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,763,a)]. 2.95/3.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | in(f47(c13,A),A) | function(f49(c13,A)). [resolve(829,a,764,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | in(f47(c13,A),A) | relation(f49(c13,A)). [resolve(829,a,765,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | -in(D,A) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f49(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(829,a,766,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | relation_dom(f49(c13,A)) = A. [resolve(829,a,767,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | function(f49(c13,A)). [resolve(829,a,768,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | element(f48(c13,A,C),powerset(the_carrier(c13))) | relation(f49(c13,A)). [resolve(829,a,769,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | f48(c13,A,C) = f47(c13,A) | -in(D,A) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f49(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(829,a,770,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | f48(c13,A,C) = f47(c13,A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,771,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | f48(c13,A,C) = f47(c13,A) | function(f49(c13,A)). [resolve(829,a,772,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | f48(c13,A,C) = f47(c13,A) | relation(f49(c13,A)). [resolve(829,a,773,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f49(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(829,a,774,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | relation_dom(f49(c13,A)) = A. [resolve(829,a,775,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | function(f49(c13,A)). [resolve(829,a,776,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f44(c13,A) | subset_complement(the_carrier(c13),B) = f46(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,C)) != C | relation(f49(c13,A)). [resolve(829,a,777,a)]. 2.95/3.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | in(f47(c13,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c13))) | C != B | apply(f49(c13,A),B) = subset_complement(the_carrier(c13),C). [resolve(829,a,778,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | in(f47(c13,A),A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,779,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | in(f47(c13,A),A) | function(f49(c13,A)). [resolve(829,a,780,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | in(f47(c13,A),A) | relation(f49(c13,A)). [resolve(829,a,781,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,782,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | relation_dom(f49(c13,A)) = A. [resolve(829,a,783,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | function(f49(c13,A)). [resolve(829,a,784,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | element(f48(c13,A,B),powerset(the_carrier(c13))) | relation(f49(c13,A)). [resolve(829,a,785,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | f48(c13,A,B) = f47(c13,A) | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,786,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | f48(c13,A,B) = f47(c13,A) | relation_dom(f49(c13,A)) = A. [resolve(829,a,787,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | f48(c13,A,B) = f47(c13,A) | function(f49(c13,A)). [resolve(829,a,788,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | f48(c13,A,B) = f47(c13,A) | relation(f49(c13,A)). [resolve(829,a,789,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f49(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(829,a,790,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | relation_dom(f49(c13,A)) = A. [resolve(829,a,791,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | function(f49(c13,A)). [resolve(829,a,792,a)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f46(c13,A) != f45(c13,A) | subset_complement(the_carrier(c13),f48(c13,A,B)) != B | relation(f49(c13,A)). [resolve(829,a,793,a)]. 3.03/3.29 Derived: element(cast_as_carrier_subset(c13),powerset(the_carrier(c13))). [resolve(829,a,794,a)]. 3.03/3.29 Derived: -element(A,powerset(the_carrier(c13))) | subset_difference(the_carrier(c13),cast_as_carrier_subset(c13),A) = subset_complement(the_carrier(c13),A). [resolve(829,a,795,a)]. 3.03/3.29 Derived: empty_carrier(c13) | -empty(f93(c13)). [resolve(829,a,796,b)]. 3.03/3.29 Derived: empty_carrier(c13) | element(f93(c13),powerset(the_carrier(c13))). [resolve(829,a,797,b)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | relation(f124(c13,A)). [resolve(829,a,798,b)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | -in(ordered_pair(B,C),f124(c13,A)) | -element(D,powerset(the_carrier(c13))) | D != B | subset_complement(the_carrier(c13),D) = C. [resolve(829,a,799,b)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | -in(ordered_pair(B,C),f124(c13,A)) | in(B,A). [resolve(829,a,800,b)]. 3.03/3.29 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | in(ordered_pair(B,C),f124(c13,A)) | element(f125(c13,A,B,C),powerset(the_carrier(c13))) | -in(B,A). [resolve(829,a,801,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | in(ordered_pair(B,C),f124(c13,A)) | f125(c13,A,B,C) = B | -in(B,A). [resolve(829,a,802,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | in(ordered_pair(B,C),f124(c13,A)) | subset_complement(the_carrier(c13),f125(c13,A,B,C)) != C | -in(B,A). [resolve(829,a,803,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f121(c13,A),A) | function(f124(c13,A)). [resolve(829,a,804,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | relation(f124(c13,A)). [resolve(829,a,805,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | -in(ordered_pair(C,D),f124(c13,A)) | -element(E,powerset(the_carrier(c13))) | E != C | subset_complement(the_carrier(c13),E) = D. [resolve(829,a,806,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | -in(ordered_pair(C,D),f124(c13,A)) | in(C,A). [resolve(829,a,807,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | in(ordered_pair(C,D),f124(c13,A)) | element(f125(c13,A,C,D),powerset(the_carrier(c13))) | -in(C,A). [resolve(829,a,808,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | in(ordered_pair(C,D),f124(c13,A)) | f125(c13,A,C,D) = C | -in(C,A). [resolve(829,a,809,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | in(ordered_pair(C,D),f124(c13,A)) | subset_complement(the_carrier(c13),f125(c13,A,C,D)) != D | -in(C,A). [resolve(829,a,810,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f123(c13,A) | function(f124(c13,A)). [resolve(829,a,811,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | relation(f124(c13,A)). [resolve(829,a,812,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | -in(ordered_pair(C,D),f124(c13,A)) | -element(E,powerset(the_carrier(c13))) | E != C | subset_complement(the_carrier(c13),E) = D. [resolve(829,a,813,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | -in(ordered_pair(C,D),f124(c13,A)) | in(C,A). [resolve(829,a,814,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | in(ordered_pair(C,D),f124(c13,A)) | element(f125(c13,A,C,D),powerset(the_carrier(c13))) | -in(C,A). [resolve(829,a,815,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | in(ordered_pair(C,D),f124(c13,A)) | f125(c13,A,C,D) = C | -in(C,A). [resolve(829,a,816,b)]. 3.05/3.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | in(ordered_pair(C,D),f124(c13,A)) | subset_complement(the_carrier(c13),f125(c13,A,C,D)) != D | -in(C,A). [resolve(829,a,817,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f121(c13,A) | subset_complement(the_carrier(c13),B) = f122(c13,A) | function(f124(c13,A)). [resolve(829,a,818,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | relation(f124(c13,A)). [resolve(829,a,819,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | -in(ordered_pair(B,C),f124(c13,A)) | -element(D,powerset(the_carrier(c13))) | D != B | subset_complement(the_carrier(c13),D) = C. [resolve(829,a,820,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | -in(ordered_pair(B,C),f124(c13,A)) | in(B,A). [resolve(829,a,821,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | in(ordered_pair(B,C),f124(c13,A)) | element(f125(c13,A,B,C),powerset(the_carrier(c13))) | -in(B,A). [resolve(829,a,822,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | in(ordered_pair(B,C),f124(c13,A)) | f125(c13,A,B,C) = B | -in(B,A). [resolve(829,a,823,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | in(ordered_pair(B,C),f124(c13,A)) | subset_complement(the_carrier(c13),f125(c13,A,B,C)) != C | -in(B,A). [resolve(829,a,824,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f123(c13,A) != f122(c13,A) | function(f124(c13,A)). [resolve(829,a,825,b)]. 3.17/3.43 Derived: cast_as_carrier_subset(c13) = the_carrier(c13). [resolve(829,a,826,a)]. 3.17/3.43 Derived: empty_carrier(c13) | -empty(cast_as_carrier_subset(c13)). [resolve(829,a,828,a)]. 3.17/3.43 830 -one_sorted_str(A) | empty_carrier_subset(A) = empty_set # label(d2_pre_topc) # label(axiom). [clausify(290)]. 3.17/3.43 Derived: empty_carrier_subset(A) = empty_set | -top_str(A). [resolve(830,a,629,b)]. 3.17/3.43 Derived: empty_carrier_subset(A) = empty_set | -join_semilatt_str(A). [resolve(830,a,827,b)]. 3.17/3.43 Derived: empty_carrier_subset(c13) = empty_set. [resolve(830,a,829,a)]. 3.17/3.43 831 -one_sorted_str(A) | cast_as_carrier_subset(A) = the_carrier(A) # label(d3_pre_topc) # label(axiom). [clausify(375)]. 3.17/3.43 832 empty_carrier(A) | -one_sorted_str(A) | -empty(the_carrier(A)) # label(fc1_struct_0) # label(axiom). [clausify(391)]. 3.17/3.43 Derived: empty_carrier(A) | -empty(the_carrier(A)) | -top_str(A). [resolve(832,b,629,b)]. 3.17/3.43 Derived: empty_carrier(A) | -empty(the_carrier(A)) | -join_semilatt_str(A). [resolve(832,b,827,b)]. 3.17/3.43 Derived: empty_carrier(c13) | -empty(the_carrier(c13)). [resolve(832,b,829,a)]. 3.17/3.43 833 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) | -top_str(B). [resolve(833,b,629,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(833,b,827,b)]. 3.17/3.43 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f245(c13,A) | element(f248(c13,A,C,D),powerset(the_carrier(c13))) | -in(D,A) | in(C,f247(c13,A)). [resolve(833,b,829,a)]. 3.17/3.43 834 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) | -top_str(B). [resolve(834,b,629,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(834,b,827,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f245(c13,A) | f248(c13,A,C,D) = D | -in(D,A) | in(C,f247(c13,A)). [resolve(834,b,829,a)]. 3.17/3.44 835 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) | -top_str(B). [resolve(835,b,629,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(835,b,827,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f245(c13,A) | subset_complement(the_carrier(c13),f248(c13,A,C,D)) != C | -in(D,A) | in(C,f247(c13,A)). [resolve(835,b,829,a)]. 3.17/3.44 836 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) | -top_str(B). [resolve(836,b,629,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) | -join_semilatt_str(B). [resolve(836,b,827,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f245(c13,A) | -element(C,powerset(the_carrier(c13))) | C != f249(c13,A,D) | subset_complement(the_carrier(c13),C) = D | -in(D,f247(c13,A)). [resolve(836,b,829,a)]. 3.17/3.44 837 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) | -top_str(B). [resolve(837,b,629,b)]. 3.17/3.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(837,b,827,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f245(c13,A) | in(f249(c13,A,C),A) | -in(C,f247(c13,A)). [resolve(837,b,829,a)]. 3.17/3.46 838 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f244(B,A),A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) | -top_str(B). [resolve(838,b,629,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(838,b,827,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f244(c13,A),A) | element(f248(c13,A,B,C),powerset(the_carrier(c13))) | -in(C,A) | in(B,f247(c13,A)). [resolve(838,b,829,a)]. 3.17/3.46 839 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f244(B,A),A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) | -top_str(B). [resolve(839,b,629,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(839,b,827,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f244(c13,A),A) | f248(c13,A,B,C) = C | -in(C,A) | in(B,f247(c13,A)). [resolve(839,b,829,a)]. 3.17/3.46 840 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f244(B,A),A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) | -top_str(B). [resolve(840,b,629,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(840,b,827,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f244(c13,A),A) | subset_complement(the_carrier(c13),f248(c13,A,B,C)) != B | -in(C,A) | in(B,f247(c13,A)). [resolve(840,b,829,a)]. 3.17/3.46 841 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f244(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) | -top_str(B). [resolve(841,b,629,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(841,b,827,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f244(c13,A),A) | -element(B,powerset(the_carrier(c13))) | B != f249(c13,A,C) | subset_complement(the_carrier(c13),B) = C | -in(C,f247(c13,A)). [resolve(841,b,829,a)]. 3.17/3.46 842 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f244(B,A),A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) | -top_str(B). [resolve(842,b,629,b)]. 3.17/3.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(842,b,827,b)]. 3.17/3.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f244(c13,A),A) | in(f249(c13,A,B),A) | -in(B,f247(c13,A)). [resolve(842,b,829,a)]. 3.17/3.47 843 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) | -top_str(B). [resolve(843,b,629,b)]. 3.17/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(843,b,827,b)]. 3.17/3.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f246(c13,A) | element(f248(c13,A,C,D),powerset(the_carrier(c13))) | -in(D,A) | in(C,f247(c13,A)). [resolve(843,b,829,a)]. 3.17/3.47 844 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) | -top_str(B). [resolve(844,b,629,b)]. 3.17/3.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(844,b,827,b)]. 3.17/3.48 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f246(c13,A) | f248(c13,A,C,D) = D | -in(D,A) | in(C,f247(c13,A)). [resolve(844,b,829,a)]. 3.17/3.48 845 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) | -top_str(B). [resolve(845,b,629,b)]. 3.17/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(845,b,827,b)]. 3.17/3.48 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f246(c13,A) | subset_complement(the_carrier(c13),f248(c13,A,C,D)) != C | -in(D,A) | in(C,f247(c13,A)). [resolve(845,b,829,a)]. 3.17/3.48 846 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) | -top_str(B). [resolve(846,b,629,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) | -join_semilatt_str(B). [resolve(846,b,827,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f246(c13,A) | -element(C,powerset(the_carrier(c13))) | C != f249(c13,A,D) | subset_complement(the_carrier(c13),C) = D | -in(D,f247(c13,A)). [resolve(846,b,829,a)]. 3.17/3.49 847 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) | -top_str(B). [resolve(847,b,629,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(847,b,827,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f244(c13,A) | subset_complement(the_carrier(c13),B) = f246(c13,A) | in(f249(c13,A,C),A) | -in(C,f247(c13,A)). [resolve(847,b,829,a)]. 3.17/3.49 848 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f246(B,A) != f245(B,A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) | -top_str(B). [resolve(848,b,629,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(848,b,827,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f246(c13,A) != f245(c13,A) | element(f248(c13,A,B,C),powerset(the_carrier(c13))) | -in(C,A) | in(B,f247(c13,A)). [resolve(848,b,829,a)]. 3.17/3.49 849 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f246(B,A) != f245(B,A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) | -top_str(B). [resolve(849,b,629,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(849,b,827,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f246(c13,A) != f245(c13,A) | f248(c13,A,B,C) = C | -in(C,A) | in(B,f247(c13,A)). [resolve(849,b,829,a)]. 3.17/3.49 850 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f246(B,A) != f245(B,A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) | -top_str(B). [resolve(850,b,629,b)]. 3.17/3.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(850,b,827,b)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f246(c13,A) != f245(c13,A) | subset_complement(the_carrier(c13),f248(c13,A,B,C)) != B | -in(C,A) | in(B,f247(c13,A)). [resolve(850,b,829,a)]. 3.25/3.52 851 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f246(B,A) != f245(B,A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) | -top_str(B). [resolve(851,b,629,b)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) | -join_semilatt_str(B). [resolve(851,b,827,b)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f246(c13,A) != f245(c13,A) | -element(B,powerset(the_carrier(c13))) | B != f249(c13,A,C) | subset_complement(the_carrier(c13),B) = C | -in(C,f247(c13,A)). [resolve(851,b,829,a)]. 3.25/3.52 852 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f246(B,A) != f245(B,A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(394)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) | -top_str(B). [resolve(852,b,629,b)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) | -join_semilatt_str(B). [resolve(852,b,827,b)]. 3.25/3.52 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f246(c13,A) != f245(c13,A) | in(f249(c13,A,B),A) | -in(B,f247(c13,A)). [resolve(852,b,829,a)]. 3.25/3.52 853 -one_sorted_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))) # label(dt_k1_pre_topc) # label(axiom). [clausify(399)]. 3.25/3.52 Derived: element(empty_carrier_subset(A),powerset(the_carrier(A))) | -top_str(A). [resolve(853,a,629,b)]. 3.25/3.52 Derived: element(empty_carrier_subset(A),powerset(the_carrier(A))) | -join_semilatt_str(A). [resolve(853,a,827,b)]. 3.25/3.52 Derived: element(empty_carrier_subset(c13),powerset(the_carrier(c13))). [resolve(853,a,829,a)]. 3.25/3.52 854 -one_sorted_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) # label(l40_tops_1) # label(lemma). [clausify(407)]. 3.25/3.52 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(854,a,629,b)]. 3.25/3.52 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(854,a,827,b)]. 3.25/3.52 Derived: empty_carrier(c13) | -element(A,powerset(the_carrier(c13))) | -element(B,the_carrier(c13)) | -in(B,subset_complement(the_carrier(c13),A)) | -in(B,A). [resolve(854,a,829,a)]. 3.25/3.52 855 -one_sorted_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) # label(l40_tops_1) # label(lemma). [clausify(407)]. 3.25/3.52 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(855,a,629,b)]. 3.25/3.52 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(855,a,827,b)]. 3.25/3.52 Derived: empty_carrier(c13) | -element(A,powerset(the_carrier(c13))) | -element(B,the_carrier(c13)) | in(B,subset_complement(the_carrier(c13),A)) | in(B,A). [resolve(855,a,829,a)]. 3.25/3.52 856 -one_sorted_str(A) | -empty(the_carrier(A)) | empty_carrier(A) # label(d1_struct_0) # label(axiom). [clausify(412)]. 3.25/3.54 857 -one_sorted_str(A) | empty(the_carrier(A)) | -empty_carrier(A) # label(d1_struct_0) # label(axiom). [clausify(412)]. 3.25/3.54 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -top_str(A). [resolve(857,a,629,b)]. 3.25/3.54 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -join_semilatt_str(A). [resolve(857,a,827,b)]. 3.25/3.54 Derived: empty(the_carrier(c13)) | -empty_carrier(c13). [resolve(857,a,829,a)]. 3.25/3.54 858 -rel_str(A) | one_sorted_str(A) # label(dt_l1_orders_2) # label(axiom). [clausify(414)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,630,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,631,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,632,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,633,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,634,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,635,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,636,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,637,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,638,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,639,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,640,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,641,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,642,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,643,b)]. 3.25/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,644,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,645,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(858,b,646,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(858,b,647,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,648,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(858,b,649,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(858,b,650,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(858,b,651,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(858,b,652,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(858,b,653,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,654,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,655,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,656,b)]. 3.25/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,657,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,658,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,659,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,660,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,661,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,662,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,663,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,664,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,665,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,666,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,667,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,668,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,669,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,670,b)]. 3.25/3.57 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,671,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,672,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,673,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,674,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,675,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,676,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,677,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(858,b,678,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(858,b,679,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,680,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(858,b,681,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(858,b,682,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(858,b,683,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(858,b,684,b)]. 3.33/3.59 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(858,b,685,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,686,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,687,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,688,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,689,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,690,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,691,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,692,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,693,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(858,b,694,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(858,b,695,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(858,b,696,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(858,b,697,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(858,b,698,b)]. 3.33/3.60 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,699,b)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,700,b)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(858,b,701,b)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | relation(f24(A,B)). [resolve(858,b,702,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(858,b,703,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(858,b,704,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(858,b,705,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(858,b,706,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(858,b,707,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | function(f24(A,B)). [resolve(858,b,708,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | relation(f24(A,B)). [resolve(858,b,709,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(858,b,710,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(858,b,711,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(858,b,712,a)]. 3.33/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(858,b,713,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(858,b,714,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | function(f24(A,B)). [resolve(858,b,715,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f24(A,B)). [resolve(858,b,716,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(858,b,717,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(858,b,718,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(858,b,719,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(858,b,720,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(858,b,721,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | function(f24(A,B)). [resolve(858,b,722,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | relation(f24(A,B)). [resolve(858,b,723,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(858,b,724,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(858,b,725,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(858,b,726,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(858,b,727,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(858,b,728,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | function(f24(A,B)). [resolve(858,b,729,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(858,b,730,a)]. 3.38/3.63 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(858,b,731,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(858,b,732,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(858,b,733,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,734,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(858,b,735,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(858,b,736,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(858,b,737,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,738,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(858,b,739,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(858,b,740,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(858,b,741,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,742,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(858,b,743,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(858,b,744,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(858,b,745,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,746,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(858,b,747,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(858,b,748,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(858,b,749,a)]. 3.40/3.65 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(858,b,750,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(858,b,751,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(858,b,752,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(858,b,753,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(858,b,754,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(858,b,755,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(858,b,756,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(858,b,757,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(858,b,758,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(858,b,759,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(858,b,760,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(858,b,761,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,762,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(858,b,763,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(858,b,764,a)]. 3.40/3.67 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(858,b,765,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(858,b,766,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(858,b,767,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(858,b,768,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(858,b,769,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(858,b,770,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(858,b,771,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(858,b,772,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(858,b,773,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(858,b,774,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(858,b,775,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(858,b,776,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(858,b,777,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(858,b,778,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(858,b,779,a)]. 3.42/3.69 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(858,b,780,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(858,b,781,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,782,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(858,b,783,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(858,b,784,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(858,b,785,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,786,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(858,b,787,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(858,b,788,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(858,b,789,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(858,b,790,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(858,b,791,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(858,b,792,a)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(858,b,793,a)]. 3.42/3.71 Derived: -rel_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(858,b,794,a)]. 3.42/3.71 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(858,b,795,a)]. 3.42/3.71 Derived: -rel_str(A) | empty_carrier(A) | -empty(f93(A)). [resolve(858,b,796,b)]. 3.42/3.71 Derived: -rel_str(A) | empty_carrier(A) | element(f93(A),powerset(the_carrier(A))). [resolve(858,b,797,b)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | relation(f124(A,B)). [resolve(858,b,798,b)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(858,b,799,b)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(858,b,800,b)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(858,b,801,b)]. 3.42/3.71 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(858,b,802,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(858,b,803,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | function(f124(A,B)). [resolve(858,b,804,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | relation(f124(A,B)). [resolve(858,b,805,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(858,b,806,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(858,b,807,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(858,b,808,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(858,b,809,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(858,b,810,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | function(f124(A,B)). [resolve(858,b,811,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | relation(f124(A,B)). [resolve(858,b,812,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(858,b,813,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(858,b,814,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(858,b,815,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(858,b,816,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(858,b,817,b)]. 3.47/3.73 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | function(f124(A,B)). [resolve(858,b,818,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | relation(f124(A,B)). [resolve(858,b,819,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(858,b,820,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(858,b,821,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(858,b,822,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(858,b,823,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(858,b,824,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | function(f124(A,B)). [resolve(858,b,825,b)]. 3.49/3.75 Derived: -rel_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(858,b,826,a)]. 3.49/3.75 Derived: -rel_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(858,b,828,a)]. 3.49/3.75 Derived: -rel_str(A) | empty_carrier_subset(A) = empty_set. [resolve(858,b,830,a)]. 3.49/3.75 Derived: -rel_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(858,b,832,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | element(f248(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f247(A,B)). [resolve(858,b,833,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | f248(A,B,D,E) = E | -in(E,B) | in(D,f247(A,B)). [resolve(858,b,834,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | subset_complement(the_carrier(A),f248(A,B,D,E)) != D | -in(E,B) | in(D,f247(A,B)). [resolve(858,b,835,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | -element(D,powerset(the_carrier(A))) | D != f249(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f247(A,B)). [resolve(858,b,836,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | in(f249(A,B,D),B) | -in(D,f247(A,B)). [resolve(858,b,837,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | element(f248(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f247(A,B)). [resolve(858,b,838,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | f248(A,B,C,D) = D | -in(D,B) | in(C,f247(A,B)). [resolve(858,b,839,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | subset_complement(the_carrier(A),f248(A,B,C,D)) != C | -in(D,B) | in(C,f247(A,B)). [resolve(858,b,840,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f249(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f247(A,B)). [resolve(858,b,841,b)]. 3.49/3.75 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | in(f249(A,B,C),B) | -in(C,f247(A,B)). [resolve(858,b,842,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | element(f248(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f247(A,B)). [resolve(858,b,843,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | f248(A,B,D,E) = E | -in(E,B) | in(D,f247(A,B)). [resolve(858,b,844,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | subset_complement(the_carrier(A),f248(A,B,D,E)) != D | -in(E,B) | in(D,f247(A,B)). [resolve(858,b,845,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | -element(D,powerset(the_carrier(A))) | D != f249(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f247(A,B)). [resolve(858,b,846,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | in(f249(A,B,D),B) | -in(D,f247(A,B)). [resolve(858,b,847,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | element(f248(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f247(A,B)). [resolve(858,b,848,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | f248(A,B,C,D) = D | -in(D,B) | in(C,f247(A,B)). [resolve(858,b,849,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | subset_complement(the_carrier(A),f248(A,B,C,D)) != C | -in(D,B) | in(C,f247(A,B)). [resolve(858,b,850,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | -element(C,powerset(the_carrier(A))) | C != f249(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f247(A,B)). [resolve(858,b,851,b)]. 3.49/3.77 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | in(f249(A,B,C),B) | -in(C,f247(A,B)). [resolve(858,b,852,b)]. 3.49/3.77 Derived: -rel_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(858,b,853,a)]. 3.49/3.77 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(858,b,854,a)]. 3.49/3.77 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(858,b,855,a)]. 3.49/3.77 Derived: -rel_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(858,b,857,a)]. 3.49/3.77 859 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,f258(A,B)) | -element(D,powerset(the_carrier(A))) | D != f259(A,B,C) | subset_complement(the_carrier(A),D) = C # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -top_str(B). [resolve(859,a,629,b)]. 3.49/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -join_semilatt_str(B). [resolve(859,a,827,b)]. 3.49/3.77 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f255(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(B,f258(c13,A)) | -element(C,powerset(the_carrier(c13))) | C != f259(c13,A,B) | subset_complement(the_carrier(c13),C) = B. [resolve(859,a,829,a)]. 3.49/3.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -rel_str(B). [resolve(859,a,858,b)]. 3.49/3.79 860 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,f258(A,B)) | in(f259(A,B,C),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(860,a,629,b)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(860,a,827,b)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f255(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(B,f258(c13,A)) | in(f259(c13,A,B),complements_of_subsets(the_carrier(c13),A)). [resolve(860,a,829,a)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(860,a,858,b)]. 3.49/3.79 861 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | element(f260(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(861,a,629,b)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(861,a,827,b)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f255(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(B,f258(c13,A)) | element(f260(c13,A,B,C),powerset(the_carrier(c13))) | -in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(861,a,829,a)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(861,a,858,b)]. 3.49/3.79 862 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | f260(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(862,a,629,b)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(862,a,827,b)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f255(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(B,f258(c13,A)) | f260(c13,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(862,a,829,a)]. 3.49/3.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(862,a,858,b)]. 3.49/3.80 863 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(863,a,629,b)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(863,a,827,b)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f255(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(B,f258(c13,A)) | subset_complement(the_carrier(c13),f260(c13,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(863,a,829,a)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(863,a,858,b)]. 3.49/3.80 864 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | -in(D,f258(A,B)) | -element(E,powerset(the_carrier(A))) | E != f259(A,B,D) | subset_complement(the_carrier(A),E) = D # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(864,a,629,b)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(864,a,827,b)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f257(c13,A) | -in(C,f258(c13,A)) | -element(D,powerset(the_carrier(c13))) | D != f259(c13,A,C) | subset_complement(the_carrier(c13),D) = C. [resolve(864,a,829,a)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(864,a,858,b)]. 3.49/3.80 865 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | -in(D,f258(A,B)) | in(f259(A,B,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(865,a,629,b)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(865,a,827,b)]. 3.49/3.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f257(c13,A) | -in(C,f258(c13,A)) | in(f259(c13,A,C),complements_of_subsets(the_carrier(c13),A)). [resolve(865,a,829,a)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(865,a,858,b)]. 3.49/3.82 866 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | element(f260(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(866,a,629,b)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(866,a,827,b)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f257(c13,A) | in(C,f258(c13,A)) | element(f260(c13,A,C,D),powerset(the_carrier(c13))) | -in(D,complements_of_subsets(the_carrier(c13),A)). [resolve(866,a,829,a)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(866,a,858,b)]. 3.49/3.82 867 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | f260(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(867,a,629,b)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(867,a,827,b)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f257(c13,A) | in(C,f258(c13,A)) | f260(c13,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c13),A)). [resolve(867,a,829,a)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(867,a,858,b)]. 3.49/3.82 868 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.49/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(868,a,629,b)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(868,a,827,b)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f257(c13,A) | in(C,f258(c13,A)) | subset_complement(the_carrier(c13),f260(c13,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c13),A)). [resolve(868,a,829,a)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(868,a,858,b)]. 3.58/3.83 869 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | -in(D,f258(A,B)) | -element(E,powerset(the_carrier(A))) | E != f259(A,B,D) | subset_complement(the_carrier(A),E) = D # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(869,a,629,b)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(869,a,827,b)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f256(c13,A) | -in(C,f258(c13,A)) | -element(D,powerset(the_carrier(c13))) | D != f259(c13,A,C) | subset_complement(the_carrier(c13),D) = C. [resolve(869,a,829,a)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(869,a,858,b)]. 3.58/3.83 870 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | -in(D,f258(A,B)) | in(f259(A,B,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(870,a,629,b)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(870,a,827,b)]. 3.58/3.83 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f256(c13,A) | -in(C,f258(c13,A)) | in(f259(c13,A,C),complements_of_subsets(the_carrier(c13),A)). [resolve(870,a,829,a)]. 3.58/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(870,a,858,b)]. 3.58/3.84 871 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | element(f260(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(871,a,629,b)]. 3.58/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(871,a,827,b)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f256(c13,A) | in(C,f258(c13,A)) | element(f260(c13,A,C,D),powerset(the_carrier(c13))) | -in(D,complements_of_subsets(the_carrier(c13),A)). [resolve(871,a,829,a)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(871,a,858,b)]. 3.58/3.85 872 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | f260(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(872,a,629,b)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(872,a,827,b)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f256(c13,A) | in(C,f258(c13,A)) | f260(c13,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c13),A)). [resolve(872,a,829,a)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(872,a,858,b)]. 3.58/3.85 873 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(873,a,629,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(873,a,827,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f255(c13,A) | subset_complement(the_carrier(c13),B) = f256(c13,A) | in(C,f258(c13,A)) | subset_complement(the_carrier(c13),f260(c13,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c13),A)). [resolve(873,a,829,a)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(873,a,858,b)]. 3.58/3.86 874 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | -in(C,f258(A,B)) | -element(D,powerset(the_carrier(A))) | D != f259(A,B,C) | subset_complement(the_carrier(A),D) = C # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -top_str(B). [resolve(874,a,629,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -join_semilatt_str(B). [resolve(874,a,827,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f257(c13,A) != f256(c13,A) | -in(B,f258(c13,A)) | -element(C,powerset(the_carrier(c13))) | C != f259(c13,A,B) | subset_complement(the_carrier(c13),C) = B. [resolve(874,a,829,a)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -rel_str(B). [resolve(874,a,858,b)]. 3.58/3.86 875 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | -in(C,f258(A,B)) | in(f259(A,B,C),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(875,a,629,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(875,a,827,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f257(c13,A) != f256(c13,A) | -in(B,f258(c13,A)) | in(f259(c13,A,B),complements_of_subsets(the_carrier(c13),A)). [resolve(875,a,829,a)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(875,a,858,b)]. 3.58/3.86 876 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | element(f260(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(876,a,629,b)]. 3.58/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(876,a,827,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f257(c13,A) != f256(c13,A) | in(B,f258(c13,A)) | element(f260(c13,A,B,C),powerset(the_carrier(c13))) | -in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(876,a,829,a)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(876,a,858,b)]. 3.63/3.88 877 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | f260(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(877,a,629,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(877,a,827,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f257(c13,A) != f256(c13,A) | in(B,f258(c13,A)) | f260(c13,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(877,a,829,a)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(877,a,858,b)]. 3.63/3.88 878 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(416)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(878,a,629,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(878,a,827,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f257(c13,A) != f256(c13,A) | in(B,f258(c13,A)) | subset_complement(the_carrier(c13),f260(c13,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c13),A)). [resolve(878,a,829,a)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(878,a,858,b)]. 3.63/3.88 879 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(B) | finite(complements_of_subsets(the_carrier(A),B)) # label(t13_tops_2) # label(lemma). [clausify(422)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(A) | finite(complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(879,a,629,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(A) | finite(complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(879,a,827,b)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -finite(A) | finite(complements_of_subsets(the_carrier(c13),A)). [resolve(879,a,829,a)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(A) | finite(complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(879,a,858,b)]. 3.63/3.88 880 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(B) | -finite(complements_of_subsets(the_carrier(A),B)) # label(t13_tops_2) # label(lemma). [clausify(422)]. 3.63/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(A) | -finite(complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(880,a,629,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(A) | -finite(complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(880,a,827,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | finite(A) | -finite(complements_of_subsets(the_carrier(c13),A)). [resolve(880,a,829,a)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(A) | -finite(complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(880,a,858,b)]. 3.63/3.90 881 one_sorted_str(c20) # label(existence_l1_struct_0) # label(axiom). [clausify(424)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,630,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,631,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,632,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,633,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,634,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,635,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,636,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f2(c20,A,B) = f1(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,637,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,638,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,639,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,640,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,641,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,642,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,643,b)]. 3.63/3.90 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,644,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) = f1(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,645,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | -in(D,f8(c20,A,C)) | in(f9(c20,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)). [resolve(881,a,646,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | -in(D,f8(c20,A,C)) | -element(E,powerset(the_carrier(c20))) | E != f10(c20,A,C,D) | subset_complement(the_carrier(c20),E) = f11(c20,A,C,D). [resolve(881,a,647,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | -in(D,f8(c20,A,C)) | in(f10(c20,A,C,D),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,648,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | -in(D,f8(c20,A,C)) | ordered_pair(f10(c20,A,C,D),f11(c20,A,C,D)) = D. [resolve(881,a,649,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | -in(D,f8(c20,A,C)) | f9(c20,A,C,D) = D. [resolve(881,a,650,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | in(D,f8(c20,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)) | element(f12(c20,A,C,D,E,F,V6),powerset(the_carrier(c20))) | -in(F,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(F,V6) != D | E != D. [resolve(881,a,651,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | in(D,f8(c20,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)) | f12(c20,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(F,V6) != D | E != D. [resolve(881,a,652,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f4(c20,A,C) | subset_complement(the_carrier(c20),B) = f5(c20,A,C) | in(D,f8(c20,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)) | subset_complement(the_carrier(c20),f12(c20,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(F,V6) != D | E != D. [resolve(881,a,653,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,654,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,655,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,656,b)]. 3.63/3.92 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,657,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,658,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,659,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,660,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f4(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,661,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,662,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,663,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,664,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,665,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,666,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,667,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,668,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f4(c20,A,B),f5(c20,A,B)) = f3(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,669,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,670,b)]. 3.63/3.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,671,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,672,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,673,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,674,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,675,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,676,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f6(c20,A,B),f7(c20,A,B)) = f2(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,677,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | -in(D,f8(c20,A,C)) | in(f9(c20,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)). [resolve(881,a,678,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | -in(D,f8(c20,A,C)) | -element(E,powerset(the_carrier(c20))) | E != f10(c20,A,C,D) | subset_complement(the_carrier(c20),E) = f11(c20,A,C,D). [resolve(881,a,679,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | -in(D,f8(c20,A,C)) | in(f10(c20,A,C,D),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,680,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | -in(D,f8(c20,A,C)) | ordered_pair(f10(c20,A,C,D),f11(c20,A,C,D)) = D. [resolve(881,a,681,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | -in(D,f8(c20,A,C)) | f9(c20,A,C,D) = D. [resolve(881,a,682,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | in(D,f8(c20,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)) | element(f12(c20,A,C,D,E,F,V6),powerset(the_carrier(c20))) | -in(F,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(F,V6) != D | E != D. [resolve(881,a,683,b)]. 3.63/3.95 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | in(D,f8(c20,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)) | f12(c20,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(F,V6) != D | E != D. [resolve(881,a,684,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f6(c20,A,C) | subset_complement(the_carrier(c20),B) = f7(c20,A,C) | in(D,f8(c20,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)) | subset_complement(the_carrier(c20),f12(c20,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(F,V6) != D | E != D. [resolve(881,a,685,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,686,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,687,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,688,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,689,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,690,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,691,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,692,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f6(c20,A,B),complements_of_subsets(the_carrier(c20),A)) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,693,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | -in(C,f8(c20,A,B)) | in(f9(c20,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)). [resolve(881,a,694,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | -in(C,f8(c20,A,B)) | -element(D,powerset(the_carrier(c20))) | D != f10(c20,A,B,C) | subset_complement(the_carrier(c20),D) = f11(c20,A,B,C). [resolve(881,a,695,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | -in(C,f8(c20,A,B)) | in(f10(c20,A,B,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,696,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | -in(C,f8(c20,A,B)) | ordered_pair(f10(c20,A,B,C),f11(c20,A,B,C)) = C. [resolve(881,a,697,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | -in(C,f8(c20,A,B)) | f9(c20,A,B,C) = C. [resolve(881,a,698,b)]. 3.71/3.97 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | element(f12(c20,A,B,C,D,E,F),powerset(the_carrier(c20))) | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,699,b)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | f12(c20,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,700,b)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f3(c20,A,B) != f2(c20,A,B) | in(C,f8(c20,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c20),A),B)) | subset_complement(the_carrier(c20),f12(c20,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c20),A)) | ordered_pair(E,F) != C | D != C. [resolve(881,a,701,b)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | relation(f24(c20,A)). [resolve(881,a,702,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | -in(ordered_pair(C,D),f24(c20,A)) | in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,703,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | -in(ordered_pair(C,D),f24(c20,A)) | -element(E,powerset(the_carrier(c20))) | E != C | subset_complement(the_carrier(c20),E) = D. [resolve(881,a,704,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | in(ordered_pair(C,D),f24(c20,A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | element(f25(c20,A,C,D),powerset(the_carrier(c20))). [resolve(881,a,705,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | in(ordered_pair(C,D),f24(c20,A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | f25(c20,A,C,D) = C. [resolve(881,a,706,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | in(ordered_pair(C,D),f24(c20,A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f25(c20,A,C,D)) != D. [resolve(881,a,707,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f22(c20,A) | function(f24(c20,A)). [resolve(881,a,708,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | relation(f24(c20,A)). [resolve(881,a,709,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | -in(ordered_pair(C,D),f24(c20,A)) | in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,710,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | -in(ordered_pair(C,D),f24(c20,A)) | -element(E,powerset(the_carrier(c20))) | E != C | subset_complement(the_carrier(c20),E) = D. [resolve(881,a,711,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | in(ordered_pair(C,D),f24(c20,A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | element(f25(c20,A,C,D),powerset(the_carrier(c20))). [resolve(881,a,712,a)]. 3.73/3.98 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | in(ordered_pair(C,D),f24(c20,A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | f25(c20,A,C,D) = C. [resolve(881,a,713,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | in(ordered_pair(C,D),f24(c20,A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f25(c20,A,C,D)) != D. [resolve(881,a,714,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f21(c20,A) | subset_complement(the_carrier(c20),B) = f23(c20,A) | function(f24(c20,A)). [resolve(881,a,715,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation(f24(c20,A)). [resolve(881,a,716,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(ordered_pair(B,C),f24(c20,A)) | in(B,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,717,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(ordered_pair(B,C),f24(c20,A)) | -element(D,powerset(the_carrier(c20))) | D != B | subset_complement(the_carrier(c20),D) = C. [resolve(881,a,718,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(ordered_pair(B,C),f24(c20,A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | element(f25(c20,A,B,C),powerset(the_carrier(c20))). [resolve(881,a,719,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(ordered_pair(B,C),f24(c20,A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | f25(c20,A,B,C) = B. [resolve(881,a,720,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(ordered_pair(B,C),f24(c20,A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f25(c20,A,B,C)) != C. [resolve(881,a,721,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f21(c20,A),complements_of_subsets(the_carrier(c20),A)) | function(f24(c20,A)). [resolve(881,a,722,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | relation(f24(c20,A)). [resolve(881,a,723,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | -in(ordered_pair(B,C),f24(c20,A)) | in(B,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,724,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | -in(ordered_pair(B,C),f24(c20,A)) | -element(D,powerset(the_carrier(c20))) | D != B | subset_complement(the_carrier(c20),D) = C. [resolve(881,a,725,a)]. 3.73/4.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | in(ordered_pair(B,C),f24(c20,A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | element(f25(c20,A,B,C),powerset(the_carrier(c20))). [resolve(881,a,726,a)]. 3.73/4.01 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | in(ordered_pair(B,C),f24(c20,A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | f25(c20,A,B,C) = B. [resolve(881,a,727,a)]. 3.73/4.01 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | in(ordered_pair(B,C),f24(c20,A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f25(c20,A,B,C)) != C. [resolve(881,a,728,a)]. 3.73/4.01 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f23(c20,A) != f22(c20,A) | function(f24(c20,A)). [resolve(881,a,729,a)]. 3.73/4.01 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | in(f47(c20,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c20))) | C != B | apply(f49(c20,A),B) = subset_complement(the_carrier(c20),C). [resolve(881,a,730,a)]. 3.73/4.01 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | in(f47(c20,A),A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,731,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | in(f47(c20,A),A) | function(f49(c20,A)). [resolve(881,a,732,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | in(f47(c20,A),A) | relation(f49(c20,A)). [resolve(881,a,733,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,734,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | relation_dom(f49(c20,A)) = A. [resolve(881,a,735,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | function(f49(c20,A)). [resolve(881,a,736,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | relation(f49(c20,A)). [resolve(881,a,737,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | f48(c20,A,B) = f47(c20,A) | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,738,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | f48(c20,A,B) = f47(c20,A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,739,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | f48(c20,A,B) = f47(c20,A) | function(f49(c20,A)). [resolve(881,a,740,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | f48(c20,A,B) = f47(c20,A) | relation(f49(c20,A)). [resolve(881,a,741,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,742,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | relation_dom(f49(c20,A)) = A. [resolve(881,a,743,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | function(f49(c20,A)). [resolve(881,a,744,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f44(c20,A),A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | relation(f49(c20,A)). [resolve(881,a,745,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | in(f47(c20,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,746,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | in(f47(c20,A),A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,747,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | in(f47(c20,A),A) | function(f49(c20,A)). [resolve(881,a,748,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | in(f47(c20,A),A) | relation(f49(c20,A)). [resolve(881,a,749,a)]. 3.77/4.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | -in(D,A) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f49(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(881,a,750,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | relation_dom(f49(c20,A)) = A. [resolve(881,a,751,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | function(f49(c20,A)). [resolve(881,a,752,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | relation(f49(c20,A)). [resolve(881,a,753,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | f48(c20,A,C) = f47(c20,A) | -in(D,A) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f49(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(881,a,754,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | f48(c20,A,C) = f47(c20,A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,755,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | f48(c20,A,C) = f47(c20,A) | function(f49(c20,A)). [resolve(881,a,756,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | f48(c20,A,C) = f47(c20,A) | relation(f49(c20,A)). [resolve(881,a,757,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f49(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(881,a,758,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | relation_dom(f49(c20,A)) = A. [resolve(881,a,759,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | function(f49(c20,A)). [resolve(881,a,760,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | relation(f49(c20,A)). [resolve(881,a,761,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | in(f47(c20,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,762,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | in(f47(c20,A),A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,763,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | in(f47(c20,A),A) | function(f49(c20,A)). [resolve(881,a,764,a)]. 3.80/4.04 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | in(f47(c20,A),A) | relation(f49(c20,A)). [resolve(881,a,765,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | -in(D,A) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f49(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(881,a,766,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | relation_dom(f49(c20,A)) = A. [resolve(881,a,767,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | function(f49(c20,A)). [resolve(881,a,768,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | element(f48(c20,A,C),powerset(the_carrier(c20))) | relation(f49(c20,A)). [resolve(881,a,769,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | f48(c20,A,C) = f47(c20,A) | -in(D,A) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f49(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(881,a,770,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | f48(c20,A,C) = f47(c20,A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,771,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | f48(c20,A,C) = f47(c20,A) | function(f49(c20,A)). [resolve(881,a,772,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | f48(c20,A,C) = f47(c20,A) | relation(f49(c20,A)). [resolve(881,a,773,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f49(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(881,a,774,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | relation_dom(f49(c20,A)) = A. [resolve(881,a,775,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | function(f49(c20,A)). [resolve(881,a,776,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f44(c20,A) | subset_complement(the_carrier(c20),B) = f46(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,C)) != C | relation(f49(c20,A)). [resolve(881,a,777,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | in(f47(c20,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c20))) | C != B | apply(f49(c20,A),B) = subset_complement(the_carrier(c20),C). [resolve(881,a,778,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | in(f47(c20,A),A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,779,a)]. 3.80/4.06 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | in(f47(c20,A),A) | function(f49(c20,A)). [resolve(881,a,780,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | in(f47(c20,A),A) | relation(f49(c20,A)). [resolve(881,a,781,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,782,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | relation_dom(f49(c20,A)) = A. [resolve(881,a,783,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | function(f49(c20,A)). [resolve(881,a,784,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | element(f48(c20,A,B),powerset(the_carrier(c20))) | relation(f49(c20,A)). [resolve(881,a,785,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | f48(c20,A,B) = f47(c20,A) | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,786,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | f48(c20,A,B) = f47(c20,A) | relation_dom(f49(c20,A)) = A. [resolve(881,a,787,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | f48(c20,A,B) = f47(c20,A) | function(f49(c20,A)). [resolve(881,a,788,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | f48(c20,A,B) = f47(c20,A) | relation(f49(c20,A)). [resolve(881,a,789,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f49(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(881,a,790,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | relation_dom(f49(c20,A)) = A. [resolve(881,a,791,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | function(f49(c20,A)). [resolve(881,a,792,a)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f46(c20,A) != f45(c20,A) | subset_complement(the_carrier(c20),f48(c20,A,B)) != B | relation(f49(c20,A)). [resolve(881,a,793,a)]. 3.80/4.09 Derived: element(cast_as_carrier_subset(c20),powerset(the_carrier(c20))). [resolve(881,a,794,a)]. 3.80/4.09 Derived: -element(A,powerset(the_carrier(c20))) | subset_difference(the_carrier(c20),cast_as_carrier_subset(c20),A) = subset_complement(the_carrier(c20),A). [resolve(881,a,795,a)]. 3.80/4.09 Derived: empty_carrier(c20) | -empty(f93(c20)). [resolve(881,a,796,b)]. 3.80/4.09 Derived: empty_carrier(c20) | element(f93(c20),powerset(the_carrier(c20))). [resolve(881,a,797,b)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | relation(f124(c20,A)). [resolve(881,a,798,b)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | -in(ordered_pair(B,C),f124(c20,A)) | -element(D,powerset(the_carrier(c20))) | D != B | subset_complement(the_carrier(c20),D) = C. [resolve(881,a,799,b)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | -in(ordered_pair(B,C),f124(c20,A)) | in(B,A). [resolve(881,a,800,b)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | in(ordered_pair(B,C),f124(c20,A)) | element(f125(c20,A,B,C),powerset(the_carrier(c20))) | -in(B,A). [resolve(881,a,801,b)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | in(ordered_pair(B,C),f124(c20,A)) | f125(c20,A,B,C) = B | -in(B,A). [resolve(881,a,802,b)]. 3.80/4.09 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | in(ordered_pair(B,C),f124(c20,A)) | subset_complement(the_carrier(c20),f125(c20,A,B,C)) != C | -in(B,A). [resolve(881,a,803,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f121(c20,A),A) | function(f124(c20,A)). [resolve(881,a,804,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | relation(f124(c20,A)). [resolve(881,a,805,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | -in(ordered_pair(C,D),f124(c20,A)) | -element(E,powerset(the_carrier(c20))) | E != C | subset_complement(the_carrier(c20),E) = D. [resolve(881,a,806,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | -in(ordered_pair(C,D),f124(c20,A)) | in(C,A). [resolve(881,a,807,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | in(ordered_pair(C,D),f124(c20,A)) | element(f125(c20,A,C,D),powerset(the_carrier(c20))) | -in(C,A). [resolve(881,a,808,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | in(ordered_pair(C,D),f124(c20,A)) | f125(c20,A,C,D) = C | -in(C,A). [resolve(881,a,809,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | in(ordered_pair(C,D),f124(c20,A)) | subset_complement(the_carrier(c20),f125(c20,A,C,D)) != D | -in(C,A). [resolve(881,a,810,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f123(c20,A) | function(f124(c20,A)). [resolve(881,a,811,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | relation(f124(c20,A)). [resolve(881,a,812,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | -in(ordered_pair(C,D),f124(c20,A)) | -element(E,powerset(the_carrier(c20))) | E != C | subset_complement(the_carrier(c20),E) = D. [resolve(881,a,813,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | -in(ordered_pair(C,D),f124(c20,A)) | in(C,A). [resolve(881,a,814,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | in(ordered_pair(C,D),f124(c20,A)) | element(f125(c20,A,C,D),powerset(the_carrier(c20))) | -in(C,A). [resolve(881,a,815,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | in(ordered_pair(C,D),f124(c20,A)) | f125(c20,A,C,D) = C | -in(C,A). [resolve(881,a,816,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | in(ordered_pair(C,D),f124(c20,A)) | subset_complement(the_carrier(c20),f125(c20,A,C,D)) != D | -in(C,A). [resolve(881,a,817,b)]. 3.80/4.11 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f121(c20,A) | subset_complement(the_carrier(c20),B) = f122(c20,A) | function(f124(c20,A)). [resolve(881,a,818,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | relation(f124(c20,A)). [resolve(881,a,819,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | -in(ordered_pair(B,C),f124(c20,A)) | -element(D,powerset(the_carrier(c20))) | D != B | subset_complement(the_carrier(c20),D) = C. [resolve(881,a,820,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | -in(ordered_pair(B,C),f124(c20,A)) | in(B,A). [resolve(881,a,821,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | in(ordered_pair(B,C),f124(c20,A)) | element(f125(c20,A,B,C),powerset(the_carrier(c20))) | -in(B,A). [resolve(881,a,822,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | in(ordered_pair(B,C),f124(c20,A)) | f125(c20,A,B,C) = B | -in(B,A). [resolve(881,a,823,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | in(ordered_pair(B,C),f124(c20,A)) | subset_complement(the_carrier(c20),f125(c20,A,B,C)) != C | -in(B,A). [resolve(881,a,824,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f123(c20,A) != f122(c20,A) | function(f124(c20,A)). [resolve(881,a,825,b)]. 3.80/4.13 Derived: cast_as_carrier_subset(c20) = the_carrier(c20). [resolve(881,a,826,a)]. 3.80/4.13 Derived: empty_carrier(c20) | -empty(cast_as_carrier_subset(c20)). [resolve(881,a,828,a)]. 3.80/4.13 Derived: empty_carrier_subset(c20) = empty_set. [resolve(881,a,830,a)]. 3.80/4.13 Derived: empty_carrier(c20) | -empty(the_carrier(c20)). [resolve(881,a,832,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f245(c20,A) | element(f248(c20,A,C,D),powerset(the_carrier(c20))) | -in(D,A) | in(C,f247(c20,A)). [resolve(881,a,833,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f245(c20,A) | f248(c20,A,C,D) = D | -in(D,A) | in(C,f247(c20,A)). [resolve(881,a,834,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f245(c20,A) | subset_complement(the_carrier(c20),f248(c20,A,C,D)) != C | -in(D,A) | in(C,f247(c20,A)). [resolve(881,a,835,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f245(c20,A) | -element(C,powerset(the_carrier(c20))) | C != f249(c20,A,D) | subset_complement(the_carrier(c20),C) = D | -in(D,f247(c20,A)). [resolve(881,a,836,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f245(c20,A) | in(f249(c20,A,C),A) | -in(C,f247(c20,A)). [resolve(881,a,837,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f244(c20,A),A) | element(f248(c20,A,B,C),powerset(the_carrier(c20))) | -in(C,A) | in(B,f247(c20,A)). [resolve(881,a,838,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f244(c20,A),A) | f248(c20,A,B,C) = C | -in(C,A) | in(B,f247(c20,A)). [resolve(881,a,839,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f244(c20,A),A) | subset_complement(the_carrier(c20),f248(c20,A,B,C)) != B | -in(C,A) | in(B,f247(c20,A)). [resolve(881,a,840,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f244(c20,A),A) | -element(B,powerset(the_carrier(c20))) | B != f249(c20,A,C) | subset_complement(the_carrier(c20),B) = C | -in(C,f247(c20,A)). [resolve(881,a,841,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f244(c20,A),A) | in(f249(c20,A,B),A) | -in(B,f247(c20,A)). [resolve(881,a,842,b)]. 3.80/4.13 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f246(c20,A) | element(f248(c20,A,C,D),powerset(the_carrier(c20))) | -in(D,A) | in(C,f247(c20,A)). [resolve(881,a,843,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f246(c20,A) | f248(c20,A,C,D) = D | -in(D,A) | in(C,f247(c20,A)). [resolve(881,a,844,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f246(c20,A) | subset_complement(the_carrier(c20),f248(c20,A,C,D)) != C | -in(D,A) | in(C,f247(c20,A)). [resolve(881,a,845,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f246(c20,A) | -element(C,powerset(the_carrier(c20))) | C != f249(c20,A,D) | subset_complement(the_carrier(c20),C) = D | -in(D,f247(c20,A)). [resolve(881,a,846,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f244(c20,A) | subset_complement(the_carrier(c20),B) = f246(c20,A) | in(f249(c20,A,C),A) | -in(C,f247(c20,A)). [resolve(881,a,847,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f246(c20,A) != f245(c20,A) | element(f248(c20,A,B,C),powerset(the_carrier(c20))) | -in(C,A) | in(B,f247(c20,A)). [resolve(881,a,848,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f246(c20,A) != f245(c20,A) | f248(c20,A,B,C) = C | -in(C,A) | in(B,f247(c20,A)). [resolve(881,a,849,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f246(c20,A) != f245(c20,A) | subset_complement(the_carrier(c20),f248(c20,A,B,C)) != B | -in(C,A) | in(B,f247(c20,A)). [resolve(881,a,850,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f246(c20,A) != f245(c20,A) | -element(B,powerset(the_carrier(c20))) | B != f249(c20,A,C) | subset_complement(the_carrier(c20),B) = C | -in(C,f247(c20,A)). [resolve(881,a,851,b)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f246(c20,A) != f245(c20,A) | in(f249(c20,A,B),A) | -in(B,f247(c20,A)). [resolve(881,a,852,b)]. 3.80/4.16 Derived: element(empty_carrier_subset(c20),powerset(the_carrier(c20))). [resolve(881,a,853,a)]. 3.80/4.16 Derived: empty_carrier(c20) | -element(A,powerset(the_carrier(c20))) | -element(B,the_carrier(c20)) | -in(B,subset_complement(the_carrier(c20),A)) | -in(B,A). [resolve(881,a,854,a)]. 3.80/4.16 Derived: empty_carrier(c20) | -element(A,powerset(the_carrier(c20))) | -element(B,the_carrier(c20)) | in(B,subset_complement(the_carrier(c20),A)) | in(B,A). [resolve(881,a,855,a)]. 3.80/4.16 Derived: empty(the_carrier(c20)) | -empty_carrier(c20). [resolve(881,a,857,a)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f255(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(B,f258(c20,A)) | -element(C,powerset(the_carrier(c20))) | C != f259(c20,A,B) | subset_complement(the_carrier(c20),C) = B. [resolve(881,a,859,a)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f255(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(B,f258(c20,A)) | in(f259(c20,A,B),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,860,a)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f255(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(B,f258(c20,A)) | element(f260(c20,A,B,C),powerset(the_carrier(c20))) | -in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,861,a)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f255(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(B,f258(c20,A)) | f260(c20,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,862,a)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f255(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(B,f258(c20,A)) | subset_complement(the_carrier(c20),f260(c20,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,863,a)]. 3.80/4.16 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f257(c20,A) | -in(C,f258(c20,A)) | -element(D,powerset(the_carrier(c20))) | D != f259(c20,A,C) | subset_complement(the_carrier(c20),D) = C. [resolve(881,a,864,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f257(c20,A) | -in(C,f258(c20,A)) | in(f259(c20,A,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,865,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f257(c20,A) | in(C,f258(c20,A)) | element(f260(c20,A,C,D),powerset(the_carrier(c20))) | -in(D,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,866,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f257(c20,A) | in(C,f258(c20,A)) | f260(c20,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,867,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f257(c20,A) | in(C,f258(c20,A)) | subset_complement(the_carrier(c20),f260(c20,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,868,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f256(c20,A) | -in(C,f258(c20,A)) | -element(D,powerset(the_carrier(c20))) | D != f259(c20,A,C) | subset_complement(the_carrier(c20),D) = C. [resolve(881,a,869,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f256(c20,A) | -in(C,f258(c20,A)) | in(f259(c20,A,C),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,870,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f256(c20,A) | in(C,f258(c20,A)) | element(f260(c20,A,C,D),powerset(the_carrier(c20))) | -in(D,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,871,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f256(c20,A) | in(C,f258(c20,A)) | f260(c20,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,872,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f255(c20,A) | subset_complement(the_carrier(c20),B) = f256(c20,A) | in(C,f258(c20,A)) | subset_complement(the_carrier(c20),f260(c20,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,873,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f257(c20,A) != f256(c20,A) | -in(B,f258(c20,A)) | -element(C,powerset(the_carrier(c20))) | C != f259(c20,A,B) | subset_complement(the_carrier(c20),C) = B. [resolve(881,a,874,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f257(c20,A) != f256(c20,A) | -in(B,f258(c20,A)) | in(f259(c20,A,B),complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,875,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f257(c20,A) != f256(c20,A) | in(B,f258(c20,A)) | element(f260(c20,A,B,C),powerset(the_carrier(c20))) | -in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,876,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f257(c20,A) != f256(c20,A) | in(B,f258(c20,A)) | f260(c20,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,877,a)]. 3.94/4.17 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f257(c20,A) != f256(c20,A) | in(B,f258(c20,A)) | subset_complement(the_carrier(c20),f260(c20,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,878,a)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -finite(A) | finite(complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,879,a)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | finite(A) | -finite(complements_of_subsets(the_carrier(c20),A)). [resolve(881,a,880,a)]. 3.94/4.20 882 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(882,b,629,b)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(882,b,827,b)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(882,b,829,a)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(882,b,858,b)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(882,b,881,a)]. 3.94/4.20 883 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(883,b,629,b)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(883,b,827,b)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(883,b,829,a)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(883,b,858,b)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(883,b,881,a)]. 3.94/4.20 884 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 3.94/4.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(884,b,629,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(884,b,827,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(884,b,829,a)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(884,b,858,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(884,b,881,a)]. 3.94/4.22 885 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(885,b,629,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(885,b,827,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(885,b,829,a)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(885,b,858,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(885,b,881,a)]. 3.94/4.22 886 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(886,b,629,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(886,b,827,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(886,b,829,a)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(886,b,858,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(886,b,881,a)]. 3.94/4.22 887 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(887,b,629,b)]. 3.94/4.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(887,b,827,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(887,b,829,a)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(887,b,858,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(887,b,881,a)]. 4.00/4.25 888 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(888,b,629,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(888,b,827,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(888,b,829,a)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(888,b,858,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(888,b,881,a)]. 4.00/4.25 889 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(889,b,629,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(889,b,827,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) = f270(c13,A,B) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(889,b,829,a)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(889,b,858,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) = f270(c20,A,B) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(889,b,881,a)]. 4.00/4.25 890 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(890,b,629,b)]. 4.00/4.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(890,b,827,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(890,b,829,a)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(890,b,858,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(890,b,881,a)]. 4.00/4.26 891 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(891,b,629,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(891,b,827,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(891,b,829,a)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(891,b,858,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(891,b,881,a)]. 4.00/4.26 892 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(892,b,629,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(892,b,827,b)]. 4.00/4.26 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(892,b,829,a)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(892,b,858,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(892,b,881,a)]. 4.00/4.28 893 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(893,b,629,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(893,b,827,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(893,b,829,a)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(893,b,858,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(893,b,881,a)]. 4.00/4.28 894 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(894,b,629,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(894,b,827,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(894,b,829,a)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(894,b,858,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(894,b,881,a)]. 4.00/4.28 895 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(895,b,629,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(895,b,827,b)]. 4.00/4.28 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(895,b,829,a)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(895,b,858,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(895,b,881,a)]. 4.00/4.30 896 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(896,b,629,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(896,b,827,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(896,b,829,a)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(896,b,858,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(896,b,881,a)]. 4.00/4.30 897 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(897,b,629,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(897,b,827,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f273(c13,A,B),f274(c13,A,B)) = f272(c13,A,B) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(897,b,829,a)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(897,b,858,b)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f273(c20,A,B),f274(c20,A,B)) = f272(c20,A,B) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(897,b,881,a)]. 4.00/4.30 898 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.00/4.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -top_str(B). [resolve(898,b,629,b)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(898,b,827,b)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(c13,A,C,E,D,F,V6),powerset(the_carrier(c13))) | -in(F,A) | in(E,f277(c13,A,C)). [resolve(898,b,829,a)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -rel_str(B). [resolve(898,b,858,b)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(c20,A,C,E,D,F,V6),powerset(the_carrier(c20))) | -in(F,A) | in(E,f277(c20,A,C)). [resolve(898,b,881,a)]. 4.07/4.31 899 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -top_str(B). [resolve(899,b,629,b)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(899,b,827,b)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(c13,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(c13,A,C)). [resolve(899,b,829,a)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -rel_str(B). [resolve(899,b,858,b)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(c20,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(c20,A,C)). [resolve(899,b,881,a)]. 4.07/4.31 900 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -top_str(B). [resolve(900,b,629,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(900,b,827,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(c13),f278(c13,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(c13,A,C)). [resolve(900,b,829,a)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -rel_str(B). [resolve(900,b,858,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(c20),f278(c20,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(c20,A,C)). [resolve(900,b,881,a)]. 4.07/4.32 901 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -top_str(B). [resolve(901,b,629,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(901,b,827,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | in(f279(c13,A,C,D),cartesian_product2(A,C)) | -in(D,f277(c13,A,C)). [resolve(901,b,829,a)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(901,b,858,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | in(f279(c20,A,C,D),cartesian_product2(A,C)) | -in(D,f277(c20,A,C)). [resolve(901,b,881,a)]. 4.07/4.32 902 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -top_str(B). [resolve(902,b,629,b)]. 4.07/4.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(902,b,827,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | f279(c13,A,C,D) = D | -in(D,f277(c13,A,C)). [resolve(902,b,829,a)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(902,b,858,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | f279(c20,A,C,D) = D | -in(D,f277(c20,A,C)). [resolve(902,b,881,a)]. 4.07/4.34 903 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -top_str(B). [resolve(903,b,629,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(903,b,827,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | ordered_pair(f280(c13,A,C,D),f281(c13,A,C,D)) = D | -in(D,f277(c13,A,C)). [resolve(903,b,829,a)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(903,b,858,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | ordered_pair(f280(c20,A,C,D),f281(c20,A,C,D)) = D | -in(D,f277(c20,A,C)). [resolve(903,b,881,a)]. 4.07/4.34 904 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -top_str(B). [resolve(904,b,629,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(904,b,827,b)]. 4.07/4.34 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | -element(D,powerset(the_carrier(c13))) | D != f280(c13,A,C,E) | subset_complement(the_carrier(c13),D) = f281(c13,A,C,E) | -in(E,f277(c13,A,C)). [resolve(904,b,829,a)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -rel_str(B). [resolve(904,b,858,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | -element(D,powerset(the_carrier(c20))) | D != f280(c20,A,C,E) | subset_complement(the_carrier(c20),D) = f281(c20,A,C,E) | -in(E,f277(c20,A,C)). [resolve(904,b,881,a)]. 4.07/4.36 905 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -top_str(B). [resolve(905,b,629,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(905,b,827,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f273(c13,A,C) | subset_complement(the_carrier(c13),B) = f274(c13,A,C) | in(f280(c13,A,C,D),A) | -in(D,f277(c13,A,C)). [resolve(905,b,829,a)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(905,b,858,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f273(c20,A,C) | subset_complement(the_carrier(c20),B) = f274(c20,A,C) | in(f280(c20,A,C,D),A) | -in(D,f277(c20,A,C)). [resolve(905,b,881,a)]. 4.07/4.36 906 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(906,b,629,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(906,b,827,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(906,b,829,a)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(906,b,858,b)]. 4.07/4.36 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(906,b,881,a)]. 4.07/4.36 907 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(907,b,629,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(907,b,827,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(907,b,829,a)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(907,b,858,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(907,b,881,a)]. 4.13/4.38 908 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(908,b,629,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(908,b,827,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(908,b,829,a)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(908,b,858,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(908,b,881,a)]. 4.13/4.38 909 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(909,b,629,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(909,b,827,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(909,b,829,a)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(909,b,858,b)]. 4.13/4.38 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(909,b,881,a)]. 4.13/4.40 910 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(910,b,629,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(910,b,827,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(910,b,829,a)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(910,b,858,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(910,b,881,a)]. 4.13/4.40 911 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(911,b,629,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(911,b,827,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(911,b,829,a)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(911,b,858,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(911,b,881,a)]. 4.13/4.40 912 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(912,b,629,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(912,b,827,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(912,b,829,a)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(912,b,858,b)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(912,b,881,a)]. 4.13/4.40 913 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f273(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(913,b,629,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(913,b,827,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f273(c13,A,B),A) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(913,b,829,a)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(913,b,858,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f273(c20,A,B),A) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(913,b,881,a)]. 4.13/4.42 914 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(914,b,629,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(914,b,827,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(914,b,829,a)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(914,b,858,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(914,b,881,a)]. 4.13/4.42 915 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(915,b,629,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(915,b,827,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(915,b,829,a)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(915,b,858,b)]. 4.13/4.42 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(915,b,881,a)]. 4.13/4.42 916 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(916,b,629,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(916,b,827,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(916,b,829,a)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(916,b,858,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(916,b,881,a)]. 4.13/4.45 917 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(917,b,629,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(917,b,827,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(917,b,829,a)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(917,b,858,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(917,b,881,a)]. 4.13/4.45 918 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(918,b,629,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(918,b,827,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(918,b,829,a)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(918,b,858,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(918,b,881,a)]. 4.13/4.45 919 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(919,b,629,b)]. 4.13/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(919,b,827,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(919,b,829,a)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(919,b,858,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(919,b,881,a)]. 4.23/4.47 920 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(920,b,629,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(920,b,827,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(920,b,829,a)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(920,b,858,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(920,b,881,a)]. 4.23/4.47 921 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f275(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(921,b,629,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(921,b,827,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f275(c13,A,B),A) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(921,b,829,a)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(921,b,858,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f275(c20,A,B),A) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(921,b,881,a)]. 4.23/4.47 922 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -top_str(B). [resolve(922,b,629,b)]. 4.23/4.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(922,b,827,b)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(c13,A,C,E,D,F,V6),powerset(the_carrier(c13))) | -in(F,A) | in(E,f277(c13,A,C)). [resolve(922,b,829,a)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -rel_str(B). [resolve(922,b,858,b)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(c20,A,C,E,D,F,V6),powerset(the_carrier(c20))) | -in(F,A) | in(E,f277(c20,A,C)). [resolve(922,b,881,a)]. 4.23/4.49 923 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -top_str(B). [resolve(923,b,629,b)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(923,b,827,b)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(c13,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(c13,A,C)). [resolve(923,b,829,a)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -rel_str(B). [resolve(923,b,858,b)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(c20,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(c20,A,C)). [resolve(923,b,881,a)]. 4.23/4.49 924 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.23/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -top_str(B). [resolve(924,b,629,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(924,b,827,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(c13),f278(c13,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(c13,A,C)). [resolve(924,b,829,a)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -rel_str(B). [resolve(924,b,858,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(c20),f278(c20,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(c20,A,C)). [resolve(924,b,881,a)]. 4.25/4.50 925 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -top_str(B). [resolve(925,b,629,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(925,b,827,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | in(f279(c13,A,C,D),cartesian_product2(A,C)) | -in(D,f277(c13,A,C)). [resolve(925,b,829,a)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(925,b,858,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | in(f279(c20,A,C,D),cartesian_product2(A,C)) | -in(D,f277(c20,A,C)). [resolve(925,b,881,a)]. 4.25/4.50 926 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -top_str(B). [resolve(926,b,629,b)]. 4.25/4.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(926,b,827,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | f279(c13,A,C,D) = D | -in(D,f277(c13,A,C)). [resolve(926,b,829,a)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(926,b,858,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | f279(c20,A,C,D) = D | -in(D,f277(c20,A,C)). [resolve(926,b,881,a)]. 4.29/4.52 927 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -top_str(B). [resolve(927,b,629,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(927,b,827,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | ordered_pair(f280(c13,A,C,D),f281(c13,A,C,D)) = D | -in(D,f277(c13,A,C)). [resolve(927,b,829,a)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(927,b,858,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | ordered_pair(f280(c20,A,C,D),f281(c20,A,C,D)) = D | -in(D,f277(c20,A,C)). [resolve(927,b,881,a)]. 4.29/4.52 928 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -top_str(B). [resolve(928,b,629,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -join_semilatt_str(B). [resolve(928,b,827,b)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | -element(D,powerset(the_carrier(c13))) | D != f280(c13,A,C,E) | subset_complement(the_carrier(c13),D) = f281(c13,A,C,E) | -in(E,f277(c13,A,C)). [resolve(928,b,829,a)]. 4.29/4.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -rel_str(B). [resolve(928,b,858,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | -element(D,powerset(the_carrier(c20))) | D != f280(c20,A,C,E) | subset_complement(the_carrier(c20),D) = f281(c20,A,C,E) | -in(E,f277(c20,A,C)). [resolve(928,b,881,a)]. 4.29/4.54 929 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -top_str(B). [resolve(929,b,629,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -join_semilatt_str(B). [resolve(929,b,827,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f275(c13,A,C) | subset_complement(the_carrier(c13),B) = f276(c13,A,C) | in(f280(c13,A,C,D),A) | -in(D,f277(c13,A,C)). [resolve(929,b,829,a)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -rel_str(B). [resolve(929,b,858,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f275(c20,A,C) | subset_complement(the_carrier(c20),B) = f276(c20,A,C) | in(f280(c20,A,C,D),A) | -in(D,f277(c20,A,C)). [resolve(929,b,881,a)]. 4.29/4.54 930 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(930,b,629,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(930,b,827,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(930,b,829,a)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(930,b,858,b)]. 4.29/4.54 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(930,b,881,a)]. 4.29/4.54 931 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(931,b,629,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(931,b,827,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(931,b,829,a)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(931,b,858,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(931,b,881,a)]. 4.29/4.56 932 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(932,b,629,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(932,b,827,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(932,b,829,a)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(932,b,858,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(932,b,881,a)]. 4.29/4.56 933 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(933,b,629,b)]. 4.29/4.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(933,b,827,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(933,b,829,a)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(933,b,858,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(933,b,881,a)]. 4.29/4.58 934 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(934,b,629,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(934,b,827,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(934,b,829,a)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(934,b,858,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(934,b,881,a)]. 4.29/4.58 935 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(935,b,629,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(935,b,827,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(935,b,829,a)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(935,b,858,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(935,b,881,a)]. 4.29/4.58 936 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(936,b,629,b)]. 4.29/4.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(936,b,827,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(936,b,829,a)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(936,b,858,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(936,b,881,a)]. 4.36/4.60 937 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(937,b,629,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(937,b,827,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f275(c13,A,B),f276(c13,A,B)) = f271(c13,A,B) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(937,b,829,a)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(937,b,858,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f275(c20,A,B),f276(c20,A,B)) = f271(c20,A,B) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(937,b,881,a)]. 4.36/4.60 938 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(938,b,629,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(938,b,827,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(938,b,829,a)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(938,b,858,b)]. 4.36/4.60 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(938,b,881,a)]. 4.36/4.60 939 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(939,b,629,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(939,b,827,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(939,b,829,a)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(939,b,858,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(939,b,881,a)]. 4.36/4.62 940 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(940,b,629,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(940,b,827,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(940,b,829,a)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(940,b,858,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(940,b,881,a)]. 4.36/4.62 941 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(941,b,629,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(941,b,827,b)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(941,b,829,a)]. 4.36/4.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(941,b,858,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(941,b,881,a)]. 4.36/4.64 942 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(942,b,629,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(942,b,827,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(942,b,829,a)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(942,b,858,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(942,b,881,a)]. 4.36/4.64 943 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(943,b,629,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(943,b,827,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(943,b,829,a)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(943,b,858,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(943,b,881,a)]. 4.36/4.64 944 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(944,b,629,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(944,b,827,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(944,b,829,a)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(944,b,858,b)]. 4.36/4.64 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(944,b,881,a)]. 4.36/4.64 945 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f271(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(945,b,629,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(945,b,827,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f271(c13,A,B) = f270(c13,A,B) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(945,b,829,a)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(945,b,858,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f271(c20,A,B) = f270(c20,A,B) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(945,b,881,a)]. 4.36/4.66 946 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(946,b,629,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(946,b,827,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c13,A,B,D,C,E,F),powerset(the_carrier(c13))) | -in(E,A) | in(D,f277(c13,A,B)). [resolve(946,b,829,a)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(946,b,858,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c20,A,B,D,C,E,F),powerset(the_carrier(c20))) | -in(E,A) | in(D,f277(c20,A,B)). [resolve(946,b,881,a)]. 4.36/4.66 947 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(947,b,629,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(947,b,827,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c13,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c13,A,B)). [resolve(947,b,829,a)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(947,b,858,b)]. 4.36/4.66 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c20,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c20,A,B)). [resolve(947,b,881,a)]. 4.43/4.68 948 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -top_str(B). [resolve(948,b,629,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(948,b,827,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c13),f278(c13,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c13,A,B)). [resolve(948,b,829,a)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -rel_str(B). [resolve(948,b,858,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c20),f278(c20,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c20,A,B)). [resolve(948,b,881,a)]. 4.43/4.68 949 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(949,b,629,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(949,b,827,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | in(f279(c13,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c13,A,B)). [resolve(949,b,829,a)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(949,b,858,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | in(f279(c20,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c20,A,B)). [resolve(949,b,881,a)]. 4.43/4.68 950 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(950,b,629,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(950,b,827,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | f279(c13,A,B,C) = C | -in(C,f277(c13,A,B)). [resolve(950,b,829,a)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(950,b,858,b)]. 4.43/4.68 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | f279(c20,A,B,C) = C | -in(C,f277(c20,A,B)). [resolve(950,b,881,a)]. 4.52/4.80 951 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -top_str(B). [resolve(951,b,629,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(951,b,827,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | ordered_pair(f280(c13,A,B,C),f281(c13,A,B,C)) = C | -in(C,f277(c13,A,B)). [resolve(951,b,829,a)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(951,b,858,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | ordered_pair(f280(c20,A,B,C),f281(c20,A,B,C)) = C | -in(C,f277(c20,A,B)). [resolve(951,b,881,a)]. 4.52/4.80 952 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -top_str(B). [resolve(952,b,629,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -join_semilatt_str(B). [resolve(952,b,827,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | -element(C,powerset(the_carrier(c13))) | C != f280(c13,A,B,D) | subset_complement(the_carrier(c13),C) = f281(c13,A,B,D) | -in(D,f277(c13,A,B)). [resolve(952,b,829,a)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -rel_str(B). [resolve(952,b,858,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | -element(C,powerset(the_carrier(c20))) | C != f280(c20,A,B,D) | subset_complement(the_carrier(c20),C) = f281(c20,A,B,D) | -in(D,f277(c20,A,B)). [resolve(952,b,881,a)]. 4.52/4.80 953 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f272(B,A,C) != f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(438)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -top_str(B). [resolve(953,b,629,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -join_semilatt_str(B). [resolve(953,b,827,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f272(c13,A,B) != f271(c13,A,B) | in(f280(c13,A,B,C),A) | -in(C,f277(c13,A,B)). [resolve(953,b,829,a)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -rel_str(B). [resolve(953,b,858,b)]. 4.52/4.80 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f272(c20,A,B) != f271(c20,A,B) | in(f280(c20,A,B,C),A) | -in(C,f277(c20,A,B)). [resolve(953,b,881,a)]. 4.52/4.80 954 -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(491)]. 4.60/4.85 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -top_str(B). [resolve(954,a,629,b)]. 4.60/4.85 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -join_semilatt_str(B). [resolve(954,a,827,b)]. 4.60/4.85 Derived: -element(A,powerset(the_carrier(c13))) | subset_intersection2(the_carrier(c13),A,cast_as_carrier_subset(c13)) = A. [resolve(954,a,829,a)]. 4.60/4.85 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -rel_str(B). [resolve(954,a,858,b)]. 4.60/4.85 Derived: -element(A,powerset(the_carrier(c20))) | subset_intersection2(the_carrier(c20),A,cast_as_carrier_subset(c20)) = A. [resolve(954,a,881,a)]. 4.60/4.85 955 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | cast_as_carrier_subset(A) != union_of_subsets(the_carrier(A),B) | is_a_cover_of_carrier(A,B) # label(d8_pre_topc) # label(axiom). [clausify(505)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) != union_of_subsets(the_carrier(B),A) | is_a_cover_of_carrier(B,A) | -top_str(B). [resolve(955,a,629,b)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) != union_of_subsets(the_carrier(B),A) | is_a_cover_of_carrier(B,A) | -join_semilatt_str(B). [resolve(955,a,827,b)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | cast_as_carrier_subset(c13) != union_of_subsets(the_carrier(c13),A) | is_a_cover_of_carrier(c13,A). [resolve(955,a,829,a)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) != union_of_subsets(the_carrier(B),A) | is_a_cover_of_carrier(B,A) | -rel_str(B). [resolve(955,a,858,b)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | cast_as_carrier_subset(c20) != union_of_subsets(the_carrier(c20),A) | is_a_cover_of_carrier(c20,A). [resolve(955,a,881,a)]. 4.60/4.85 956 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | cast_as_carrier_subset(A) = union_of_subsets(the_carrier(A),B) | -is_a_cover_of_carrier(A,B) # label(d8_pre_topc) # label(axiom). [clausify(505)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) = union_of_subsets(the_carrier(B),A) | -is_a_cover_of_carrier(B,A) | -top_str(B). [resolve(956,a,629,b)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) = union_of_subsets(the_carrier(B),A) | -is_a_cover_of_carrier(B,A) | -join_semilatt_str(B). [resolve(956,a,827,b)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | cast_as_carrier_subset(c13) = union_of_subsets(the_carrier(c13),A) | -is_a_cover_of_carrier(c13,A). [resolve(956,a,829,a)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) = union_of_subsets(the_carrier(B),A) | -is_a_cover_of_carrier(B,A) | -rel_str(B). [resolve(956,a,858,b)]. 4.60/4.85 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | cast_as_carrier_subset(c20) = union_of_subsets(the_carrier(c20),A) | -is_a_cover_of_carrier(c20,A). [resolve(956,a,881,a)]. 4.60/4.85 957 -meet_semilatt_str(A) | one_sorted_str(A) # label(dt_l1_lattices) # label(axiom). [clausify(507)]. 4.60/4.85 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,630,b)]. 4.60/4.85 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,631,b)]. 4.60/4.85 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,632,b)]. 4.60/4.85 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,633,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,634,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,635,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,636,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,637,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,638,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,639,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,640,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,641,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,642,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,643,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,644,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,645,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(957,b,646,b)]. 4.60/4.87 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(957,b,647,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,648,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(957,b,649,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(957,b,650,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,651,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,652,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,653,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,654,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,655,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,656,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,657,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,658,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,659,b)]. 4.65/4.89 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,660,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,661,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,662,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,663,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,664,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,665,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,666,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,667,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,668,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,669,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,670,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,671,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,672,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,673,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,674,b)]. 4.65/4.91 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,675,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,676,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,677,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(957,b,678,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(957,b,679,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,680,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(957,b,681,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(957,b,682,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,683,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,684,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,685,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,686,b)]. 4.68/4.93 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,687,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,688,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,689,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,690,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,691,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,692,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,693,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,694,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,695,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,696,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,697,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,698,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,699,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,700,b)]. 4.68/4.95 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,701,b)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | relation(f24(A,B)). [resolve(957,b,702,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,703,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,704,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(957,b,705,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(957,b,706,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(957,b,707,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | function(f24(A,B)). [resolve(957,b,708,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | relation(f24(A,B)). [resolve(957,b,709,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,710,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,711,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(957,b,712,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(957,b,713,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(957,b,714,a)]. 4.68/4.97 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | function(f24(A,B)). [resolve(957,b,715,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f24(A,B)). [resolve(957,b,716,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,717,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,718,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(957,b,719,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(957,b,720,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(957,b,721,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | function(f24(A,B)). [resolve(957,b,722,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | relation(f24(A,B)). [resolve(957,b,723,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,724,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,725,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(957,b,726,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(957,b,727,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(957,b,728,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | function(f24(A,B)). [resolve(957,b,729,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(957,b,730,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,731,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,732,a)]. 4.68/4.99 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,733,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,734,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,735,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,736,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,737,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,738,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,739,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(957,b,740,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,741,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,742,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(957,b,743,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(957,b,744,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(957,b,745,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,746,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,747,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,748,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,749,a)]. 4.76/5.01 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,750,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,751,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,752,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,753,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,754,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,755,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(957,b,756,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,757,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,758,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(957,b,759,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(957,b,760,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(957,b,761,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,762,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,763,a)]. 4.76/5.03 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,764,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,765,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,766,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,767,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,768,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,769,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,770,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,771,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(957,b,772,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,773,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,774,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(957,b,775,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(957,b,776,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(957,b,777,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(957,b,778,a)]. 4.76/5.05 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,779,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,780,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,781,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,782,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,783,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,784,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,785,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,786,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,787,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(957,b,788,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,789,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,790,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(957,b,791,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(957,b,792,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(957,b,793,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(957,b,794,a)]. 4.84/5.08 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(957,b,795,a)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(f93(A)). [resolve(957,b,796,b)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | empty_carrier(A) | element(f93(A),powerset(the_carrier(A))). [resolve(957,b,797,b)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | relation(f124(A,B)). [resolve(957,b,798,b)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,799,b)]. 4.84/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(957,b,800,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(957,b,801,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(957,b,802,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(957,b,803,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | function(f124(A,B)). [resolve(957,b,804,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | relation(f124(A,B)). [resolve(957,b,805,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,806,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(957,b,807,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(957,b,808,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(957,b,809,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(957,b,810,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | function(f124(A,B)). [resolve(957,b,811,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | relation(f124(A,B)). [resolve(957,b,812,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,813,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(957,b,814,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(957,b,815,b)]. 4.84/5.10 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(957,b,816,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(957,b,817,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | function(f124(A,B)). [resolve(957,b,818,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | relation(f124(A,B)). [resolve(957,b,819,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,820,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(957,b,821,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(957,b,822,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(957,b,823,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(957,b,824,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | function(f124(A,B)). [resolve(957,b,825,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(957,b,826,a)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(957,b,828,a)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(957,b,830,a)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(957,b,832,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | element(f248(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,833,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | f248(A,B,D,E) = E | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,834,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | subset_complement(the_carrier(A),f248(A,B,D,E)) != D | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,835,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | -element(D,powerset(the_carrier(A))) | D != f249(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f247(A,B)). [resolve(957,b,836,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | in(f249(A,B,D),B) | -in(D,f247(A,B)). [resolve(957,b,837,b)]. 4.84/5.13 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | element(f248(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,838,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | f248(A,B,C,D) = D | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,839,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | subset_complement(the_carrier(A),f248(A,B,C,D)) != C | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,840,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f249(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f247(A,B)). [resolve(957,b,841,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | in(f249(A,B,C),B) | -in(C,f247(A,B)). [resolve(957,b,842,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | element(f248(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,843,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | f248(A,B,D,E) = E | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,844,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | subset_complement(the_carrier(A),f248(A,B,D,E)) != D | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,845,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | -element(D,powerset(the_carrier(A))) | D != f249(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f247(A,B)). [resolve(957,b,846,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | in(f249(A,B,D),B) | -in(D,f247(A,B)). [resolve(957,b,847,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | element(f248(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,848,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | f248(A,B,C,D) = D | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,849,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | subset_complement(the_carrier(A),f248(A,B,C,D)) != C | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,850,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | -element(C,powerset(the_carrier(A))) | C != f249(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f247(A,B)). [resolve(957,b,851,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | in(f249(A,B,C),B) | -in(C,f247(A,B)). [resolve(957,b,852,b)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(957,b,853,a)]. 4.84/5.16 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(957,b,854,a)]. 4.84/5.16 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(957,b,855,a)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(957,b,857,a)]. 4.84/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,f258(A,B)) | -element(D,powerset(the_carrier(A))) | D != f259(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(957,b,859,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,f258(A,B)) | in(f259(A,B,C),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,860,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | element(f260(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,861,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | f260(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,862,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,863,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | -in(D,f258(A,B)) | -element(E,powerset(the_carrier(A))) | E != f259(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(957,b,864,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | -in(D,f258(A,B)) | in(f259(A,B,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,865,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | element(f260(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,866,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | f260(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,867,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,868,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | -in(D,f258(A,B)) | -element(E,powerset(the_carrier(A))) | E != f259(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(957,b,869,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | -in(D,f258(A,B)) | in(f259(A,B,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,870,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | element(f260(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,871,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | f260(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,872,a)]. 4.93/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,873,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | -in(C,f258(A,B)) | -element(D,powerset(the_carrier(A))) | D != f259(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(957,b,874,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | -in(C,f258(A,B)) | in(f259(A,B,C),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,875,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | element(f260(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,876,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | f260(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,877,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,878,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(B) | finite(complements_of_subsets(the_carrier(A),B)). [resolve(957,b,879,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(B) | -finite(complements_of_subsets(the_carrier(A),B)). [resolve(957,b,880,a)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,882,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,883,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,884,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,885,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,886,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,887,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,888,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,889,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,890,b)]. 4.95/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,891,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,892,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,893,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,894,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,895,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,896,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,897,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,898,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | f278(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,899,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(A),f278(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,900,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | in(f279(A,B,D,E),cartesian_product2(B,D)) | -in(E,f277(A,B,D)). [resolve(957,b,901,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | f279(A,B,D,E) = E | -in(E,f277(A,B,D)). [resolve(957,b,902,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | ordered_pair(f280(A,B,D,E),f281(A,B,D,E)) = E | -in(E,f277(A,B,D)). [resolve(957,b,903,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f280(A,B,D,F) | subset_complement(the_carrier(A),E) = f281(A,B,D,F) | -in(F,f277(A,B,D)). [resolve(957,b,904,b)]. 4.98/5.23 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | in(f280(A,B,D,E),B) | -in(E,f277(A,B,D)). [resolve(957,b,905,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,906,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,907,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,908,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,909,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,910,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,911,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,912,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,913,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,914,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,915,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,916,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,917,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,918,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,919,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,920,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,921,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,922,b)]. 4.98/5.25 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | f278(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,923,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(A),f278(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,924,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | in(f279(A,B,D,E),cartesian_product2(B,D)) | -in(E,f277(A,B,D)). [resolve(957,b,925,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | f279(A,B,D,E) = E | -in(E,f277(A,B,D)). [resolve(957,b,926,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | ordered_pair(f280(A,B,D,E),f281(A,B,D,E)) = E | -in(E,f277(A,B,D)). [resolve(957,b,927,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f280(A,B,D,F) | subset_complement(the_carrier(A),E) = f281(A,B,D,F) | -in(F,f277(A,B,D)). [resolve(957,b,928,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | in(f280(A,B,D,E),B) | -in(E,f277(A,B,D)). [resolve(957,b,929,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,930,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,931,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,932,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,933,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,934,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,935,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,936,b)]. 4.98/5.28 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,937,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,938,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,939,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,940,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,941,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,942,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,943,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,944,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,945,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,946,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,947,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,948,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,949,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,950,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,951,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,952,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,953,b)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B. [resolve(957,b,954,a)]. 4.98/5.30 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | cast_as_carrier_subset(A) != union_of_subsets(the_carrier(A),B) | is_a_cover_of_carrier(A,B). [resolve(957,b,955,a)]. 4.98/5.32 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | cast_as_carrier_subset(A) = union_of_subsets(the_carrier(A),B) | -is_a_cover_of_carrier(A,B). [resolve(957,b,956,a)]. 4.98/5.32 958 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | element(f336(A,B,C),powerset(the_carrier(A))) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -top_str(B). [resolve(958,a,629,b)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(958,a,827,b)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | element(f336(c13,A,B),powerset(the_carrier(c13))) | function(f337(c13,A)). [resolve(958,a,829,a)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -rel_str(B). [resolve(958,a,858,b)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | element(f336(c20,A,B),powerset(the_carrier(c20))) | function(f337(c20,A)). [resolve(958,a,881,a)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(958,a,957,b)]. 4.98/5.32 959 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | element(f336(A,B,C),powerset(the_carrier(A))) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(959,a,629,b)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(959,a,827,b)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | element(f336(c13,A,B),powerset(the_carrier(c13))) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(959,a,829,a)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(959,a,858,b)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | element(f336(c20,A,B),powerset(the_carrier(c20))) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(959,a,881,a)]. 4.98/5.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(959,a,957,b)]. 4.98/5.32 960 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | element(f336(A,B,C),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(960,a,629,b)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(960,a,827,b)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | element(f336(c13,A,B),powerset(the_carrier(c13))) | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(960,a,829,a)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(960,a,858,b)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | element(f336(c20,A,B),powerset(the_carrier(c20))) | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(960,a,881,a)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(960,a,957,b)]. 4.98/5.34 961 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | element(f336(A,B,C),powerset(the_carrier(A))) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -top_str(B). [resolve(961,a,629,b)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(961,a,827,b)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | element(f336(c13,A,B),powerset(the_carrier(c13))) | relation(f337(c13,A)). [resolve(961,a,829,a)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -rel_str(B). [resolve(961,a,858,b)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | element(f336(c20,A,B),powerset(the_carrier(c20))) | relation(f337(c20,A)). [resolve(961,a,881,a)]. 4.98/5.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(961,a,957,b)]. 4.98/5.34 962 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | f336(A,B,C) = f335(A,B) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -top_str(B). [resolve(962,a,629,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(962,a,827,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | f336(c13,A,B) = f335(c13,A) | function(f337(c13,A)). [resolve(962,a,829,a)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -rel_str(B). [resolve(962,a,858,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | f336(c20,A,B) = f335(c20,A) | function(f337(c20,A)). [resolve(962,a,881,a)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(962,a,957,b)]. 5.11/5.36 963 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | f336(A,B,C) = f335(A,B) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(963,a,629,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(963,a,827,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | f336(c13,A,B) = f335(c13,A) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(963,a,829,a)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(963,a,858,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | f336(c20,A,B) = f335(c20,A) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(963,a,881,a)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(963,a,957,b)]. 5.11/5.36 964 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | f336(A,B,C) = f335(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(964,a,629,b)]. 5.11/5.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(964,a,827,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | f336(c13,A,B) = f335(c13,A) | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(964,a,829,a)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(964,a,858,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | f336(c20,A,B) = f335(c20,A) | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(964,a,881,a)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(964,a,957,b)]. 5.11/5.38 965 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | f336(A,B,C) = f335(A,B) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -top_str(B). [resolve(965,a,629,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(965,a,827,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | f336(c13,A,B) = f335(c13,A) | relation(f337(c13,A)). [resolve(965,a,829,a)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -rel_str(B). [resolve(965,a,858,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | f336(c20,A,B) = f335(c20,A) | relation(f337(c20,A)). [resolve(965,a,881,a)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(965,a,957,b)]. 5.11/5.38 966 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f336(A,B,C)) != C | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -top_str(B). [resolve(966,a,629,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -join_semilatt_str(B). [resolve(966,a,827,b)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | function(f337(c13,A)). [resolve(966,a,829,a)]. 5.11/5.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -rel_str(B). [resolve(966,a,858,b)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | function(f337(c20,A)). [resolve(966,a,881,a)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(966,a,957,b)]. 5.11/5.40 967 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f336(A,B,C)) != C | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(967,a,629,b)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(967,a,827,b)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(967,a,829,a)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(967,a,858,b)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(967,a,881,a)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(967,a,957,b)]. 5.11/5.40 968 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f336(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(968,a,629,b)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(968,a,827,b)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(968,a,829,a)]. 5.11/5.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(968,a,858,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(968,a,881,a)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(968,a,957,b)]. 5.11/5.42 969 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f336(A,B,C)) != C | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -top_str(B). [resolve(969,a,629,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(969,a,827,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | relation(f337(c13,A)). [resolve(969,a,829,a)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -rel_str(B). [resolve(969,a,858,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | relation(f337(c20,A)). [resolve(969,a,881,a)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(969,a,957,b)]. 5.11/5.42 970 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -top_str(B). [resolve(970,a,629,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(970,a,827,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | function(f337(c13,A)). [resolve(970,a,829,a)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -rel_str(B). [resolve(970,a,858,b)]. 5.11/5.42 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | function(f337(c20,A)). [resolve(970,a,881,a)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(970,a,957,b)]. 5.19/5.44 971 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(971,a,629,b)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(971,a,827,b)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(971,a,829,a)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(971,a,858,b)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(971,a,881,a)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(971,a,957,b)]. 5.19/5.44 972 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != C | apply(f337(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -top_str(B). [resolve(972,a,629,b)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(972,a,827,b)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | -element(C,powerset(the_carrier(c13))) | C != B | apply(f337(c13,A),B) = subset_complement(the_carrier(c13),C). [resolve(972,a,829,a)]. 5.19/5.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(972,a,858,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | -element(C,powerset(the_carrier(c20))) | C != B | apply(f337(c20,A),B) = subset_complement(the_carrier(c20),C). [resolve(972,a,881,a)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(972,a,957,b)]. 5.19/5.46 973 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f332(A,B),complements_of_subsets(the_carrier(A),B)) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -top_str(B). [resolve(973,a,629,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(973,a,827,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f332(c13,A),complements_of_subsets(the_carrier(c13),A)) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation(f337(c13,A)). [resolve(973,a,829,a)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -rel_str(B). [resolve(973,a,858,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f332(c20,A),complements_of_subsets(the_carrier(c20),A)) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation(f337(c20,A)). [resolve(973,a,881,a)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(973,a,957,b)]. 5.19/5.46 974 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -top_str(B). [resolve(974,a,629,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(974,a,827,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | function(f337(c13,A)). [resolve(974,a,829,a)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -rel_str(B). [resolve(974,a,858,b)]. 5.19/5.46 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | function(f337(c20,A)). [resolve(974,a,881,a)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(974,a,957,b)]. 5.19/5.47 975 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(975,a,629,b)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(975,a,827,b)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(975,a,829,a)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(975,a,858,b)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(975,a,881,a)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(975,a,957,b)]. 5.19/5.47 976 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f337(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(976,a,629,b)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(976,a,827,b)]. 5.19/5.47 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | -in(D,complements_of_subsets(the_carrier(c13),A)) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f337(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(976,a,829,a)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(976,a,858,b)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | -in(D,complements_of_subsets(the_carrier(c20),A)) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f337(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(976,a,881,a)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(976,a,957,b)]. 5.19/5.49 977 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -top_str(B). [resolve(977,a,629,b)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(977,a,827,b)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | relation(f337(c13,A)). [resolve(977,a,829,a)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -rel_str(B). [resolve(977,a,858,b)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | relation(f337(c20,A)). [resolve(977,a,881,a)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(977,a,957,b)]. 5.19/5.49 978 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | f336(A,B,D) = f335(A,B) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -top_str(B). [resolve(978,a,629,b)]. 5.19/5.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(978,a,827,b)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | f336(c13,A,C) = f335(c13,A) | function(f337(c13,A)). [resolve(978,a,829,a)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -rel_str(B). [resolve(978,a,858,b)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | f336(c20,A,C) = f335(c20,A) | function(f337(c20,A)). [resolve(978,a,881,a)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(978,a,957,b)]. 5.19/5.51 979 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | f336(A,B,D) = f335(A,B) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(979,a,629,b)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(979,a,827,b)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | f336(c13,A,C) = f335(c13,A) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(979,a,829,a)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(979,a,858,b)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | f336(c20,A,C) = f335(c20,A) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(979,a,881,a)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(979,a,957,b)]. 5.19/5.51 980 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | f336(A,B,D) = f335(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f337(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.19/5.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(980,a,629,b)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(980,a,827,b)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | f336(c13,A,C) = f335(c13,A) | -in(D,complements_of_subsets(the_carrier(c13),A)) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f337(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(980,a,829,a)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(980,a,858,b)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | f336(c20,A,C) = f335(c20,A) | -in(D,complements_of_subsets(the_carrier(c20),A)) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f337(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(980,a,881,a)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(980,a,957,b)]. 5.28/5.53 981 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | f336(A,B,D) = f335(A,B) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -top_str(B). [resolve(981,a,629,b)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(981,a,827,b)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | f336(c13,A,C) = f335(c13,A) | relation(f337(c13,A)). [resolve(981,a,829,a)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -rel_str(B). [resolve(981,a,858,b)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | f336(c20,A,C) = f335(c20,A) | relation(f337(c20,A)). [resolve(981,a,881,a)]. 5.28/5.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(981,a,957,b)]. 5.28/5.53 982 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -top_str(B). [resolve(982,a,629,b)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -join_semilatt_str(B). [resolve(982,a,827,b)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | function(f337(c13,A)). [resolve(982,a,829,a)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -rel_str(B). [resolve(982,a,858,b)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | function(f337(c20,A)). [resolve(982,a,881,a)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(982,a,957,b)]. 5.28/5.55 983 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(983,a,629,b)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(983,a,827,b)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(983,a,829,a)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(983,a,858,b)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(983,a,881,a)]. 5.28/5.55 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(983,a,957,b)]. 5.28/5.57 984 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f337(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(984,a,629,b)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(984,a,827,b)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c13),A)) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f337(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(984,a,829,a)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(984,a,858,b)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c20),A)) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f337(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(984,a,881,a)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(984,a,957,b)]. 5.28/5.57 985 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -top_str(B). [resolve(985,a,629,b)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(985,a,827,b)]. 5.28/5.57 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | relation(f337(c13,A)). [resolve(985,a,829,a)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -rel_str(B). [resolve(985,a,858,b)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | relation(f337(c20,A)). [resolve(985,a,881,a)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(985,a,957,b)]. 5.34/5.59 986 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -top_str(B). [resolve(986,a,629,b)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(986,a,827,b)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | function(f337(c13,A)). [resolve(986,a,829,a)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -rel_str(B). [resolve(986,a,858,b)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | function(f337(c20,A)). [resolve(986,a,881,a)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(986,a,957,b)]. 5.34/5.59 987 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(987,a,629,b)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(987,a,827,b)]. 5.34/5.59 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(987,a,829,a)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(987,a,858,b)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(987,a,881,a)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(987,a,957,b)]. 5.34/5.61 988 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(988,a,629,b)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(988,a,827,b)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(988,a,829,a)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(988,a,858,b)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(988,a,881,a)]. 5.34/5.61 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(988,a,957,b)]. 5.34/5.63 989 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f334(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -top_str(B). [resolve(989,a,629,b)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(989,a,827,b)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f334(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation(f337(c13,A)). [resolve(989,a,829,a)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -rel_str(B). [resolve(989,a,858,b)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f334(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation(f337(c20,A)). [resolve(989,a,881,a)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(989,a,957,b)]. 5.34/5.63 990 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -top_str(B). [resolve(990,a,629,b)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(990,a,827,b)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | function(f337(c13,A)). [resolve(990,a,829,a)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -rel_str(B). [resolve(990,a,858,b)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | function(f337(c20,A)). [resolve(990,a,881,a)]. 5.34/5.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(990,a,957,b)]. 5.34/5.65 991 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(991,a,629,b)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(991,a,827,b)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(991,a,829,a)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(991,a,858,b)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(991,a,881,a)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(991,a,957,b)]. 5.34/5.65 992 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f337(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(992,a,629,b)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(992,a,827,b)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | -in(D,complements_of_subsets(the_carrier(c13),A)) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f337(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(992,a,829,a)]. 5.34/5.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(992,a,858,b)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | -in(D,complements_of_subsets(the_carrier(c20),A)) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f337(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(992,a,881,a)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(992,a,957,b)]. 5.42/5.67 993 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | element(f336(A,B,D),powerset(the_carrier(A))) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -top_str(B). [resolve(993,a,629,b)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(993,a,827,b)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | element(f336(c13,A,C),powerset(the_carrier(c13))) | relation(f337(c13,A)). [resolve(993,a,829,a)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -rel_str(B). [resolve(993,a,858,b)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | element(f336(c20,A,C),powerset(the_carrier(c20))) | relation(f337(c20,A)). [resolve(993,a,881,a)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(993,a,957,b)]. 5.42/5.67 994 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | f336(A,B,D) = f335(A,B) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -top_str(B). [resolve(994,a,629,b)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(994,a,827,b)]. 5.42/5.67 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | f336(c13,A,C) = f335(c13,A) | function(f337(c13,A)). [resolve(994,a,829,a)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -rel_str(B). [resolve(994,a,858,b)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | f336(c20,A,C) = f335(c20,A) | function(f337(c20,A)). [resolve(994,a,881,a)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(994,a,957,b)]. 5.42/5.69 995 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | f336(A,B,D) = f335(A,B) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(995,a,629,b)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(995,a,827,b)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | f336(c13,A,C) = f335(c13,A) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(995,a,829,a)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(995,a,858,b)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | f336(c20,A,C) = f335(c20,A) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(995,a,881,a)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(995,a,957,b)]. 5.42/5.69 996 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | f336(A,B,D) = f335(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f337(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(996,a,629,b)]. 5.42/5.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(996,a,827,b)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | f336(c13,A,C) = f335(c13,A) | -in(D,complements_of_subsets(the_carrier(c13),A)) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f337(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(996,a,829,a)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(996,a,858,b)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | f336(c20,A,C) = f335(c20,A) | -in(D,complements_of_subsets(the_carrier(c20),A)) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f337(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(996,a,881,a)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(996,a,957,b)]. 5.45/5.71 997 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | f336(A,B,D) = f335(A,B) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -top_str(B). [resolve(997,a,629,b)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(997,a,827,b)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | f336(c13,A,C) = f335(c13,A) | relation(f337(c13,A)). [resolve(997,a,829,a)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -rel_str(B). [resolve(997,a,858,b)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | f336(c20,A,C) = f335(c20,A) | relation(f337(c20,A)). [resolve(997,a,881,a)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(997,a,957,b)]. 5.45/5.71 998 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.45/5.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -top_str(B). [resolve(998,a,629,b)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -join_semilatt_str(B). [resolve(998,a,827,b)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | function(f337(c13,A)). [resolve(998,a,829,a)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -rel_str(B). [resolve(998,a,858,b)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | function(f337(c20,A)). [resolve(998,a,881,a)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(998,a,957,b)]. 5.45/5.73 999 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(999,a,629,b)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(999,a,827,b)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(999,a,829,a)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(999,a,858,b)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(999,a,881,a)]. 5.45/5.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(999,a,957,b)]. 5.45/5.73 1000 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f337(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -top_str(B). [resolve(1000,a,629,b)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -join_semilatt_str(B). [resolve(1000,a,827,b)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c13),A)) | -element(E,powerset(the_carrier(c13))) | E != D | apply(f337(c13,A),D) = subset_complement(the_carrier(c13),E). [resolve(1000,a,829,a)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(1000,a,858,b)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c20),A)) | -element(E,powerset(the_carrier(c20))) | E != D | apply(f337(c20,A),D) = subset_complement(the_carrier(c20),E). [resolve(1000,a,881,a)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(1000,a,957,b)]. 5.49/5.75 1001 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | subset_complement(the_carrier(A),f336(A,B,D)) != D | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -top_str(B). [resolve(1001,a,629,b)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(1001,a,827,b)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,C)) != C | relation(f337(c13,A)). [resolve(1001,a,829,a)]. 5.49/5.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -rel_str(B). [resolve(1001,a,858,b)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,C)) != C | relation(f337(c20,A)). [resolve(1001,a,881,a)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1001,a,957,b)]. 5.49/5.78 1002 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -top_str(B). [resolve(1002,a,629,b)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(1002,a,827,b)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | function(f337(c13,A)). [resolve(1002,a,829,a)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -rel_str(B). [resolve(1002,a,858,b)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | function(f337(c20,A)). [resolve(1002,a,881,a)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1002,a,957,b)]. 5.49/5.78 1003 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(1003,a,629,b)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(1003,a,827,b)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(1003,a,829,a)]. 5.49/5.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(1003,a,858,b)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(1003,a,881,a)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1003,a,957,b)]. 5.49/5.80 1004 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(1004,a,629,b)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(1004,a,827,b)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(1004,a,829,a)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(1004,a,858,b)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(1004,a,881,a)]. 5.49/5.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1004,a,957,b)]. 5.49/5.80 1005 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f332(A,B) | subset_complement(the_carrier(A),C) = f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -top_str(B). [resolve(1005,a,629,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(1005,a,827,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f332(c13,A) | subset_complement(the_carrier(c13),B) = f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation(f337(c13,A)). [resolve(1005,a,829,a)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -rel_str(B). [resolve(1005,a,858,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f332(c20,A) | subset_complement(the_carrier(c20),B) = f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation(f337(c20,A)). [resolve(1005,a,881,a)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1005,a,957,b)]. 5.49/5.82 1006 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | element(f336(A,B,C),powerset(the_carrier(A))) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -top_str(B). [resolve(1006,a,629,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(1006,a,827,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | element(f336(c13,A,B),powerset(the_carrier(c13))) | function(f337(c13,A)). [resolve(1006,a,829,a)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -rel_str(B). [resolve(1006,a,858,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | element(f336(c20,A,B),powerset(the_carrier(c20))) | function(f337(c20,A)). [resolve(1006,a,881,a)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1006,a,957,b)]. 5.49/5.82 1007 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | element(f336(A,B,C),powerset(the_carrier(A))) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(1007,a,629,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(1007,a,827,b)]. 5.49/5.82 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | element(f336(c13,A,B),powerset(the_carrier(c13))) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(1007,a,829,a)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(1007,a,858,b)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | element(f336(c20,A,B),powerset(the_carrier(c20))) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(1007,a,881,a)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1007,a,957,b)]. 5.59/5.84 1008 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | element(f336(A,B,C),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(1008,a,629,b)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(1008,a,827,b)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | element(f336(c13,A,B),powerset(the_carrier(c13))) | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(1008,a,829,a)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(1008,a,858,b)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | element(f336(c20,A,B),powerset(the_carrier(c20))) | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(1008,a,881,a)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1008,a,957,b)]. 5.59/5.84 1009 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | element(f336(A,B,C),powerset(the_carrier(A))) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -top_str(B). [resolve(1009,a,629,b)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(1009,a,827,b)]. 5.59/5.84 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | element(f336(c13,A,B),powerset(the_carrier(c13))) | relation(f337(c13,A)). [resolve(1009,a,829,a)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -rel_str(B). [resolve(1009,a,858,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | element(f336(c20,A,B),powerset(the_carrier(c20))) | relation(f337(c20,A)). [resolve(1009,a,881,a)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1009,a,957,b)]. 5.59/5.87 1010 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | f336(A,B,C) = f335(A,B) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -top_str(B). [resolve(1010,a,629,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(1010,a,827,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | f336(c13,A,B) = f335(c13,A) | function(f337(c13,A)). [resolve(1010,a,829,a)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -rel_str(B). [resolve(1010,a,858,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | f336(c20,A,B) = f335(c20,A) | function(f337(c20,A)). [resolve(1010,a,881,a)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1010,a,957,b)]. 5.59/5.87 1011 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | f336(A,B,C) = f335(A,B) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(1011,a,629,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(1011,a,827,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | f336(c13,A,B) = f335(c13,A) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(1011,a,829,a)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(1011,a,858,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | f336(c20,A,B) = f335(c20,A) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(1011,a,881,a)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1011,a,957,b)]. 5.59/5.87 1012 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | f336(A,B,C) = f335(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(1012,a,629,b)]. 5.59/5.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(1012,a,827,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | f336(c13,A,B) = f335(c13,A) | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(1012,a,829,a)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(1012,a,858,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | f336(c20,A,B) = f335(c20,A) | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(1012,a,881,a)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1012,a,957,b)]. 5.66/5.89 1013 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | f336(A,B,C) = f335(A,B) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -top_str(B). [resolve(1013,a,629,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(1013,a,827,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | f336(c13,A,B) = f335(c13,A) | relation(f337(c13,A)). [resolve(1013,a,829,a)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -rel_str(B). [resolve(1013,a,858,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | f336(c20,A,B) = f335(c20,A) | relation(f337(c20,A)). [resolve(1013,a,881,a)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1013,a,957,b)]. 5.66/5.89 1014 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | subset_complement(the_carrier(A),f336(A,B,C)) != C | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -top_str(B). [resolve(1014,a,629,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -join_semilatt_str(B). [resolve(1014,a,827,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | function(f337(c13,A)). [resolve(1014,a,829,a)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -rel_str(B). [resolve(1014,a,858,b)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | function(f337(c20,A)). [resolve(1014,a,881,a)]. 5.66/5.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1014,a,957,b)]. 5.66/5.91 1015 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | subset_complement(the_carrier(A),f336(A,B,C)) != C | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(1015,a,629,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(1015,a,827,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(1015,a,829,a)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(1015,a,858,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(1015,a,881,a)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1015,a,957,b)]. 5.66/5.91 1016 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | subset_complement(the_carrier(A),f336(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f337(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -top_str(B). [resolve(1016,a,629,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -join_semilatt_str(B). [resolve(1016,a,827,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c13),A)) | -element(D,powerset(the_carrier(c13))) | D != C | apply(f337(c13,A),C) = subset_complement(the_carrier(c13),D). [resolve(1016,a,829,a)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(1016,a,858,b)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c20),A)) | -element(D,powerset(the_carrier(c20))) | D != C | apply(f337(c20,A),C) = subset_complement(the_carrier(c20),D). [resolve(1016,a,881,a)]. 5.66/5.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1016,a,957,b)]. 5.66/5.94 1017 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | subset_complement(the_carrier(A),f336(A,B,C)) != C | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -top_str(B). [resolve(1017,a,629,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(1017,a,827,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | subset_complement(the_carrier(c13),f336(c13,A,B)) != B | relation(f337(c13,A)). [resolve(1017,a,829,a)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -rel_str(B). [resolve(1017,a,858,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | subset_complement(the_carrier(c20),f336(c20,A,B)) != B | relation(f337(c20,A)). [resolve(1017,a,881,a)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1017,a,957,b)]. 5.66/5.94 1018 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | function(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -top_str(B). [resolve(1018,a,629,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -join_semilatt_str(B). [resolve(1018,a,827,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | function(f337(c13,A)). [resolve(1018,a,829,a)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -rel_str(B). [resolve(1018,a,858,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | function(f337(c20,A)). [resolve(1018,a,881,a)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1018,a,957,b)]. 5.66/5.94 1019 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation_dom(f337(A,B)) = complements_of_subsets(the_carrier(A),B) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -top_str(B). [resolve(1019,a,629,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -join_semilatt_str(B). [resolve(1019,a,827,b)]. 5.66/5.94 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation_dom(f337(c13,A)) = complements_of_subsets(the_carrier(c13),A). [resolve(1019,a,829,a)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -rel_str(B). [resolve(1019,a,858,b)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation_dom(f337(c20,A)) = complements_of_subsets(the_carrier(c20),A). [resolve(1019,a,881,a)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1019,a,957,b)]. 5.74/5.96 1020 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | -element(D,powerset(the_carrier(A))) | D != C | apply(f337(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -top_str(B). [resolve(1020,a,629,b)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -join_semilatt_str(B). [resolve(1020,a,827,b)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | -in(B,complements_of_subsets(the_carrier(c13),A)) | -element(C,powerset(the_carrier(c13))) | C != B | apply(f337(c13,A),B) = subset_complement(the_carrier(c13),C). [resolve(1020,a,829,a)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(1020,a,858,b)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | -in(B,complements_of_subsets(the_carrier(c20),A)) | -element(C,powerset(the_carrier(c20))) | C != B | apply(f337(c20,A),B) = subset_complement(the_carrier(c20),C). [resolve(1020,a,881,a)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(1020,a,957,b)]. 5.74/5.96 1021 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f334(A,B) != f333(A,B) | in(f335(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f337(A,B)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(515)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -top_str(B). [resolve(1021,a,629,b)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -join_semilatt_str(B). [resolve(1021,a,827,b)]. 5.74/5.96 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | f334(c13,A) != f333(c13,A) | in(f335(c13,A),complements_of_subsets(the_carrier(c13),A)) | relation(f337(c13,A)). [resolve(1021,a,829,a)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -rel_str(B). [resolve(1021,a,858,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | f334(c20,A) != f333(c20,A) | in(f335(c20,A),complements_of_subsets(the_carrier(c20),A)) | relation(f337(c20,A)). [resolve(1021,a,881,a)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1021,a,957,b)]. 5.74/6.00 1022 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f343(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,B) | -in(E,cartesian_product2(B,F)) | in(E,f342(A,B,F)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f343(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -top_str(B). [resolve(1022,a,629,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f343(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -join_semilatt_str(B). [resolve(1022,a,827,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(B,C) != D | element(f343(c13,A,E,D,B,C),powerset(the_carrier(c13))) | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c13,A,E)). [resolve(1022,a,829,a)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f343(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -rel_str(B). [resolve(1022,a,858,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(B,C) != D | element(f343(c20,A,E,D,B,C),powerset(the_carrier(c20))) | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c20,A,E)). [resolve(1022,a,881,a)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f343(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -meet_semilatt_str(B). [resolve(1022,a,957,b)]. 5.74/6.00 1023 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f343(A,B,F,E,C,D) = C | -in(C,B) | -in(E,cartesian_product2(B,F)) | in(E,f342(A,B,F)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f343(B,A,F,E,C,D) = C | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -top_str(B). [resolve(1023,a,629,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f343(B,A,F,E,C,D) = C | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -join_semilatt_str(B). [resolve(1023,a,827,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(B,C) != D | f343(c13,A,E,D,B,C) = B | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c13,A,E)). [resolve(1023,a,829,a)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f343(B,A,F,E,C,D) = C | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -rel_str(B). [resolve(1023,a,858,b)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(B,C) != D | f343(c20,A,E,D,B,C) = B | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c20,A,E)). [resolve(1023,a,881,a)]. 5.74/6.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f343(B,A,F,E,C,D) = C | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -meet_semilatt_str(B). [resolve(1023,a,957,b)]. 5.74/6.00 1024 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f343(A,B,F,E,C,D)) != D | -in(C,B) | -in(E,cartesian_product2(B,F)) | in(E,f342(A,B,F)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f343(B,A,F,E,C,D)) != D | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -top_str(B). [resolve(1024,a,629,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f343(B,A,F,E,C,D)) != D | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -join_semilatt_str(B). [resolve(1024,a,827,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c13),f343(c13,A,E,D,B,C)) != C | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c13,A,E)). [resolve(1024,a,829,a)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f343(B,A,F,E,C,D)) != D | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -rel_str(B). [resolve(1024,a,858,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c20),f343(c20,A,E,D,B,C)) != C | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c20,A,E)). [resolve(1024,a,881,a)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f343(B,A,F,E,C,D)) != D | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -meet_semilatt_str(B). [resolve(1024,a,957,b)]. 5.79/6.03 1025 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f344(A,B,C,D),f345(A,B,C,D)) = D | -in(D,f342(A,B,C)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f344(B,A,C,D),f345(B,A,C,D)) = D | -in(D,f342(B,A,C)) | -top_str(B). [resolve(1025,a,629,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f344(B,A,C,D),f345(B,A,C,D)) = D | -in(D,f342(B,A,C)) | -join_semilatt_str(B). [resolve(1025,a,827,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | ordered_pair(f344(c13,A,B,C),f345(c13,A,B,C)) = C | -in(C,f342(c13,A,B)). [resolve(1025,a,829,a)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f344(B,A,C,D),f345(B,A,C,D)) = D | -in(D,f342(B,A,C)) | -rel_str(B). [resolve(1025,a,858,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | ordered_pair(f344(c20,A,B,C),f345(c20,A,B,C)) = C | -in(C,f342(c20,A,B)). [resolve(1025,a,881,a)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f344(B,A,C,D),f345(B,A,C,D)) = D | -in(D,f342(B,A,C)) | -meet_semilatt_str(B). [resolve(1025,a,957,b)]. 5.79/6.03 1026 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f344(A,B,D,E) | subset_complement(the_carrier(A),C) = f345(A,B,D,E) | -in(E,f342(A,B,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f344(B,A,D,E) | subset_complement(the_carrier(B),C) = f345(B,A,D,E) | -in(E,f342(B,A,D)) | -top_str(B). [resolve(1026,a,629,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f344(B,A,D,E) | subset_complement(the_carrier(B),C) = f345(B,A,D,E) | -in(E,f342(B,A,D)) | -join_semilatt_str(B). [resolve(1026,a,827,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -element(B,powerset(the_carrier(c13))) | B != f344(c13,A,C,D) | subset_complement(the_carrier(c13),B) = f345(c13,A,C,D) | -in(D,f342(c13,A,C)). [resolve(1026,a,829,a)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f344(B,A,D,E) | subset_complement(the_carrier(B),C) = f345(B,A,D,E) | -in(E,f342(B,A,D)) | -rel_str(B). [resolve(1026,a,858,b)]. 5.79/6.03 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -element(B,powerset(the_carrier(c20))) | B != f344(c20,A,C,D) | subset_complement(the_carrier(c20),B) = f345(c20,A,C,D) | -in(D,f342(c20,A,C)). [resolve(1026,a,881,a)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f344(B,A,D,E) | subset_complement(the_carrier(B),C) = f345(B,A,D,E) | -in(E,f342(B,A,D)) | -meet_semilatt_str(B). [resolve(1026,a,957,b)]. 5.86/6.08 1027 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f344(A,B,C,D),B) | -in(D,f342(A,B,C)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f344(B,A,C,D),A) | -in(D,f342(B,A,C)) | -top_str(B). [resolve(1027,a,629,b)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f344(B,A,C,D),A) | -in(D,f342(B,A,C)) | -join_semilatt_str(B). [resolve(1027,a,827,b)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(f344(c13,A,B,C),A) | -in(C,f342(c13,A,B)). [resolve(1027,a,829,a)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f344(B,A,C,D),A) | -in(D,f342(B,A,C)) | -rel_str(B). [resolve(1027,a,858,b)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(f344(c20,A,B,C),A) | -in(C,f342(c20,A,B)). [resolve(1027,a,881,a)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f344(B,A,C,D),A) | -in(D,f342(B,A,C)) | -meet_semilatt_str(B). [resolve(1027,a,957,b)]. 5.86/6.08 1028 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(B,D)) | -in(C,f342(A,B,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(539)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(A,D)) | -in(C,f342(B,A,D)) | -top_str(B). [resolve(1028,a,629,b)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(A,D)) | -in(C,f342(B,A,D)) | -join_semilatt_str(B). [resolve(1028,a,827,b)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(B,cartesian_product2(A,C)) | -in(B,f342(c13,A,C)). [resolve(1028,a,829,a)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(A,D)) | -in(C,f342(B,A,D)) | -rel_str(B). [resolve(1028,a,858,b)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(B,cartesian_product2(A,C)) | -in(B,f342(c20,A,C)). [resolve(1028,a,881,a)]. 5.86/6.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(A,D)) | -in(C,f342(B,A,D)) | -meet_semilatt_str(B). [resolve(1028,a,957,b)]. 5.86/6.08 1029 -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(555)]. 5.86/6.08 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(1029,a,629,b)]. 5.86/6.08 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(1029,a,827,b)]. 5.86/6.08 Derived: -element(A,powerset(the_carrier(c13))) | subset_difference(the_carrier(c13),cast_as_carrier_subset(c13),subset_difference(the_carrier(c13),cast_as_carrier_subset(c13),A)) = A. [resolve(1029,a,829,a)]. 5.86/6.08 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 | -rel_str(B). [resolve(1029,a,858,b)]. 5.86/6.08 Derived: -element(A,powerset(the_carrier(c20))) | subset_difference(the_carrier(c20),cast_as_carrier_subset(c20),subset_difference(the_carrier(c20),cast_as_carrier_subset(c20),A)) = A. [resolve(1029,a,881,a)]. 5.86/6.08 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 | -meet_semilatt_str(B). [resolve(1029,a,957,b)]. 5.86/6.08 1030 -one_sorted_str(A) | empty_carrier(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(571)]. 7.41/7.64 Derived: empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -top_str(A). [resolve(1030,a,629,b)]. 7.41/7.64 Derived: empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -join_semilatt_str(A). [resolve(1030,a,827,b)]. 7.41/7.64 Derived: empty_carrier(c13) | -element(A,powerset(powerset(the_carrier(c13)))) | -is_a_cover_of_carrier(c13,A) | empty_set != A. [resolve(1030,a,829,a)]. 7.41/7.64 Derived: empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -rel_str(A). [resolve(1030,a,858,b)]. 7.41/7.64 Derived: empty_carrier(c20) | -element(A,powerset(powerset(the_carrier(c20)))) | -is_a_cover_of_carrier(c20,A) | empty_set != A. [resolve(1030,a,881,a)]. 7.41/7.64 Derived: empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -meet_semilatt_str(A). [resolve(1030,a,957,b)]. 7.41/7.64 1031 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(577)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C | -top_str(B). [resolve(1031,b,629,b)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C | -join_semilatt_str(B). [resolve(1031,b,827,b)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -in(B,f365(c13,A,C)) | ordered_pair(f366(c13,A,C,B),f367(c13,A,C,B)) = B. [resolve(1031,b,829,a)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C | -rel_str(B). [resolve(1031,b,858,b)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -in(B,f365(c20,A,C)) | ordered_pair(f366(c20,A,C,B),f367(c20,A,C,B)) = B. [resolve(1031,b,881,a)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C | -meet_semilatt_str(B). [resolve(1031,b,957,b)]. 7.41/7.64 1032 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(577)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) | -top_str(B). [resolve(1032,b,629,b)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) | -join_semilatt_str(B). [resolve(1032,b,827,b)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -in(B,f365(c13,A,C)) | -element(D,powerset(the_carrier(c13))) | D != f366(c13,A,C,B) | subset_complement(the_carrier(c13),D) = f367(c13,A,C,B). [resolve(1032,b,829,a)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) | -rel_str(B). [resolve(1032,b,858,b)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -in(B,f365(c20,A,C)) | -element(D,powerset(the_carrier(c20))) | D != f366(c20,A,C,B) | subset_complement(the_carrier(c20),D) = f367(c20,A,C,B). [resolve(1032,b,881,a)]. 7.41/7.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) | -meet_semilatt_str(B). [resolve(1032,b,957,b)]. 7.41/7.64 1033 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(577)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1033,b,629,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1033,b,827,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -in(B,f365(c13,A,C)) | in(f366(c13,A,C,B),complements_of_subsets(the_carrier(c13),A)). [resolve(1033,b,829,a)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1033,b,858,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -in(B,f365(c20,A,C)) | in(f366(c20,A,C,B),complements_of_subsets(the_carrier(c20),A)). [resolve(1033,b,881,a)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1033,b,957,b)]. 7.41/7.66 1034 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f365(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(577)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1034,b,629,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1034,b,827,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | -in(B,f365(c13,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)). [resolve(1034,b,829,a)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1034,b,858,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | -in(B,f365(c20,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)). [resolve(1034,b,881,a)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1034,b,957,b)]. 7.41/7.66 1035 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -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(577)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1035,b,629,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1035,b,827,b)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(B,f365(c13,A,C)) | ordered_pair(D,E) != B | element(f368(c13,A,C,B,D,E),powerset(the_carrier(c13))) | -in(D,complements_of_subsets(the_carrier(c13),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)). [resolve(1035,b,829,a)]. 7.41/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1035,b,858,b)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(B,f365(c20,A,C)) | ordered_pair(D,E) != B | element(f368(c20,A,C,B,D,E),powerset(the_carrier(c20))) | -in(D,complements_of_subsets(the_carrier(c20),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)). [resolve(1035,b,881,a)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1035,b,957,b)]. 7.41/7.68 1036 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -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(577)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1036,b,629,b)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1036,b,827,b)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(B,f365(c13,A,C)) | ordered_pair(D,E) != B | f368(c13,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c13),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)). [resolve(1036,b,829,a)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1036,b,858,b)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(B,f365(c20,A,C)) | ordered_pair(D,E) != B | f368(c20,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c20),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)). [resolve(1036,b,881,a)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1036,b,957,b)]. 7.41/7.68 1037 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -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(577)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1037,b,629,b)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1037,b,827,b)]. 7.41/7.68 Derived: -element(A,powerset(powerset(the_carrier(c13)))) | in(B,f365(c13,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c13),f368(c13,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c13),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c13),A),C)). [resolve(1037,b,829,a)]. 7.55/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1037,b,858,b)]. 7.55/7.83 Derived: -element(A,powerset(powerset(the_carrier(c20)))) | in(B,f365(c20,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c20),f368(c20,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c20),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c20),A),C)). [resolve(1037,b,881,a)]. 7.55/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1037,b,957,b)]. 7.55/7.83 1038 -one_sorted_str(A) | v1_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(618)]. 7.55/7.83 Derived: v1_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(1038,a,629,b)]. 7.55/7.83 Derived: v1_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(1038,a,827,b)]. 7.55/7.83 Derived: v1_membered(empty_carrier_subset(c13)). [resolve(1038,a,829,a)]. 7.55/7.83 Derived: v1_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(1038,a,858,b)]. 7.55/7.83 Derived: v1_membered(empty_carrier_subset(c20)). [resolve(1038,a,881,a)]. 7.55/7.83 Derived: v1_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1038,a,957,b)]. 7.55/7.83 1039 -one_sorted_str(A) | v2_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(618)]. 7.55/7.83 Derived: v2_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(1039,a,629,b)]. 7.55/7.83 Derived: v2_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(1039,a,827,b)]. 7.55/7.83 Derived: v2_membered(empty_carrier_subset(c13)). [resolve(1039,a,829,a)]. 7.55/7.83 Derived: v2_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(1039,a,858,b)]. 7.55/7.83 Derived: v2_membered(empty_carrier_subset(c20)). [resolve(1039,a,881,a)]. 7.55/7.83 Derived: v2_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1039,a,957,b)]. 7.55/7.83 1040 -one_sorted_str(A) | v3_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(618)]. 7.55/7.83 Derived: v3_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(1040,a,629,b)]. 7.55/7.83 Derived: v3_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(1040,a,827,b)]. 7.55/7.83 Derived: v3_membered(empty_carrier_subset(c13)). [resolve(1040,a,829,a)]. 7.55/7.83 Derived: v3_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(1040,a,858,b)]. 7.55/7.83 Derived: v3_membered(empty_carrier_subset(c20)). [resolve(1040,a,881,a)]. 7.55/7.83 Derived: v3_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1040,a,957,b)]. 7.55/7.83 1041 -one_sorted_str(A) | v5_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(618)]. 7.55/7.83 Derived: v5_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(1041,a,629,b)]. 7.55/7.83 Derived: v5_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(1041,a,827,b)]. 7.55/7.83 Derived: v5_membered(empty_carrier_subset(c13)). [resolve(1041,a,829,a)]. 7.55/7.83 Derived: v5_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(1041,a,858,b)]. 7.55/7.83 Derived: v5_membered(empty_carrier_subset(c20)). [resolve(1041,a,881,a)]. 7.55/7.83 Derived: v5_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1041,a,957,b)]. 7.55/7.83 1042 -one_sorted_str(A) | v4_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(618)]. 7.55/7.83 Derived: v4_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(1042,a,629,b)]. 7.55/7.83 Derived: v4_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(1042,a,827,b)]. 7.55/7.83 Derived: v4_membered(empty_carrier_subset(c13)). [resolve(1042,a,829,a)]. 7.55/7.83 Derived: v4_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(1042,a,858,b)]. 11.28/11.53 Derived: v4_membered(empty_carrier_subset(c20)). [resolve(1042,a,881,a)]. 11.28/11.53 Derived: v4_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1042,a,957,b)]. 11.28/11.53 1043 -one_sorted_str(A) | empty(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(618)]. 11.28/11.53 Derived: empty(empty_carrier_subset(A)) | -top_str(A). [resolve(1043,a,629,b)]. 11.28/11.53 Derived: empty(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(1043,a,827,b)]. 11.28/11.53 Derived: empty(empty_carrier_subset(c13)). [resolve(1043,a,829,a)]. 11.28/11.53 Derived: empty(empty_carrier_subset(A)) | -rel_str(A). [resolve(1043,a,858,b)]. 11.28/11.53 Derived: empty(empty_carrier_subset(c20)). [resolve(1043,a,881,a)]. 11.28/11.53 Derived: empty(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1043,a,957,b)]. 11.28/11.53 1044 meet_semilatt_str(c5) # label(existence_l1_lattices) # label(axiom). [clausify(60)]. 11.28/11.53 1045 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | element(f13(A,B),the_carrier(A)) | bottom_of_semilattstr(A) = B # label(d16_lattices) # label(axiom). [clausify(5)]. 11.28/11.53 1046 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f13(A,B)) != B | meet(A,f13(A,B),B) != B | bottom_of_semilattstr(A) = B # label(d16_lattices) # label(axiom). [clausify(5)]. 11.28/11.53 1047 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet(A,B,C) = B | bottom_of_semilattstr(A) != B # label(d16_lattices) # label(axiom). [clausify(5)]. 11.28/11.53 1048 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet(A,C,B) = B | bottom_of_semilattstr(A) != B # label(d16_lattices) # label(axiom). [clausify(5)]. 11.28/11.53 1049 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | element(f19(A),the_carrier(A)) # label(d13_lattices) # label(axiom). [clausify(13)]. 11.28/11.53 1050 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,f19(A),B) = f19(A) # label(d13_lattices) # label(axiom). [clausify(13)]. 11.28/11.53 1051 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f19(A)) = f19(A) # label(d13_lattices) # label(axiom). [clausify(13)]. 11.28/11.53 1052 -meet_semilatt_str(A) | empty_carrier(A) | lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | element(f20(A,B),the_carrier(A)) # label(d13_lattices) # label(axiom). [clausify(13)]. 11.28/11.53 1053 -meet_semilatt_str(A) | empty_carrier(A) | lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f20(A,B)) != B | meet(A,f20(A,B),B) != B # label(d13_lattices) # label(axiom). [clausify(13)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | element(f13(c5,A),the_carrier(c5)) | bottom_of_semilattstr(c5) = A. [resolve(1044,a,1045,b)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | meet(c5,A,f13(c5,A)) != A | meet(c5,f13(c5,A),A) != A | bottom_of_semilattstr(c5) = A. [resolve(1044,a,1046,b)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | meet(c5,A,B) = A | bottom_of_semilattstr(c5) != A. [resolve(1044,a,1047,b)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | meet(c5,B,A) = A | bottom_of_semilattstr(c5) != A. [resolve(1044,a,1048,b)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | element(f19(c5),the_carrier(c5)). [resolve(1044,a,1049,a)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | meet(c5,f19(c5),A) = f19(c5). [resolve(1044,a,1050,a)]. 11.28/11.53 Derived: empty_carrier(c5) | -lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | meet(c5,A,f19(c5)) = f19(c5). [resolve(1044,a,1051,a)]. 11.28/11.53 Derived: empty_carrier(c5) | lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | element(f20(c5,A),the_carrier(c5)). [resolve(1044,a,1052,a)]. 11.33/11.63 Derived: empty_carrier(c5) | lower_bounded_semilattstr(c5) | -element(A,the_carrier(c5)) | meet(c5,A,f20(c5,A)) != A | meet(c5,f20(c5,A),A) != A. [resolve(1044,a,1053,a)]. 11.33/11.63 1054 -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(155)]. 11.33/11.63 Derived: quasi_total(the_L_meet(c5),cartesian_product2(the_carrier(c5),the_carrier(c5)),the_carrier(c5)). [resolve(1054,a,1044,a)]. 11.33/11.63 1055 -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(155)]. 11.33/11.63 Derived: relation_of2_as_subset(the_L_meet(c5),cartesian_product2(the_carrier(c5),the_carrier(c5)),the_carrier(c5)). [resolve(1055,a,1044,a)]. 11.33/11.63 1056 -meet_semilatt_str(A) | function(the_L_meet(A)) # label(dt_u1_lattices) # label(axiom). [clausify(155)]. 11.33/11.63 Derived: function(the_L_meet(c5)). [resolve(1056,a,1044,a)]. 11.33/11.63 1057 empty_carrier(A) | -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | element(meet(A,C,B),the_carrier(A)) # label(dt_k2_lattices) # label(axiom). [clausify(180)]. 11.33/11.63 Derived: empty_carrier(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | element(meet(c5,B,A),the_carrier(c5)). [resolve(1057,b,1044,a)]. 11.33/11.63 1058 -latt_str(A) | meet_semilatt_str(A) # label(dt_l3_lattices) # label(axiom). [clausify(227)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | element(f13(A,B),the_carrier(A)) | bottom_of_semilattstr(A) = B. [resolve(1058,b,1045,b)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f13(A,B)) != B | meet(A,f13(A,B),B) != B | bottom_of_semilattstr(A) = B. [resolve(1058,b,1046,b)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet(A,B,C) = B | bottom_of_semilattstr(A) != B. [resolve(1058,b,1047,b)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet(A,C,B) = B | bottom_of_semilattstr(A) != B. [resolve(1058,b,1048,b)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | element(f19(A),the_carrier(A)). [resolve(1058,b,1049,a)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,f19(A),B) = f19(A). [resolve(1058,b,1050,a)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f19(A)) = f19(A). [resolve(1058,b,1051,a)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | element(f20(A,B),the_carrier(A)). [resolve(1058,b,1052,a)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f20(A,B)) != B | meet(A,f20(A,B),B) != B. [resolve(1058,b,1053,a)]. 11.33/11.63 Derived: -latt_str(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)). [resolve(1058,b,1054,a)]. 11.33/11.63 Derived: -latt_str(A) | relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)). [resolve(1058,b,1055,a)]. 11.33/11.63 Derived: -latt_str(A) | function(the_L_meet(A)). [resolve(1058,b,1056,a)]. 11.33/11.63 Derived: -latt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | element(meet(A,C,B),the_carrier(A)). [resolve(1058,b,1057,b)]. 11.33/11.63 1059 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | function(the_L_meet(A)) # label(fc4_lattice2) # label(axiom). [clausify(240)]. 11.33/11.63 1060 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc4_lattice2) # label(axiom). [clausify(240)]. 11.33/11.63 Derived: empty_carrier(c5) | -meet_commutative(c5) | v1_partfun1(the_L_meet(c5),cartesian_product2(the_carrier(c5),the_carrier(c5)),the_carrier(c5)). [resolve(1060,c,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_commutative(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A). [resolve(1060,c,1058,b)]. 11.51/11.80 1061 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | v1_binop_1(the_L_meet(A),the_carrier(A)) # label(fc4_lattice2) # label(axiom). [clausify(240)]. 11.51/11.80 Derived: empty_carrier(c5) | -meet_commutative(c5) | v1_binop_1(the_L_meet(c5),the_carrier(c5)). [resolve(1061,c,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_commutative(A) | v1_binop_1(the_L_meet(A),the_carrier(A)) | -latt_str(A). [resolve(1061,c,1058,b)]. 11.51/11.80 1062 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc4_lattice2) # label(axiom). [clausify(240)]. 11.51/11.80 1063 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | relation(the_L_meet(A)) # label(fc4_lattice2) # label(axiom). [clausify(240)]. 11.51/11.80 Derived: empty_carrier(c5) | -meet_commutative(c5) | relation(the_L_meet(c5)). [resolve(1063,c,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_commutative(A) | relation(the_L_meet(A)) | -latt_str(A). [resolve(1063,c,1058,b)]. 11.51/11.80 1064 empty_carrier(A) | -meet_semilatt_str(A) | element(bottom_of_semilattstr(A),the_carrier(A)) # label(dt_k5_lattices) # label(axiom). [clausify(363)]. 11.51/11.80 Derived: empty_carrier(c5) | element(bottom_of_semilattstr(c5),the_carrier(c5)). [resolve(1064,b,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | element(bottom_of_semilattstr(A),the_carrier(A)) | -latt_str(A). [resolve(1064,b,1058,b)]. 11.51/11.80 1065 empty_carrier(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_semilatt_str(A) | meet_commut(A,C,B) = meet_commut(A,B,C) # label(commutativity_k4_lattices) # label(axiom). [clausify(380)]. 11.51/11.80 Derived: empty_carrier(c5) | -meet_commutative(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | meet_commut(c5,B,A) = meet_commut(c5,A,B). [resolve(1065,e,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet_commut(A,C,B) = meet_commut(A,B,C) | -latt_str(A). [resolve(1065,e,1058,b)]. 11.51/11.80 1066 empty_carrier(A) | -meet_semilatt_str(A) | -meet_associative(A) | function(the_L_meet(A)) # label(fc5_lattice2) # label(axiom). [clausify(464)]. 11.51/11.80 1067 empty_carrier(A) | -meet_semilatt_str(A) | -meet_associative(A) | v2_binop_1(the_L_meet(A),the_carrier(A)) # label(fc5_lattice2) # label(axiom). [clausify(464)]. 11.51/11.80 Derived: empty_carrier(c5) | -meet_associative(c5) | v2_binop_1(the_L_meet(c5),the_carrier(c5)). [resolve(1067,b,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_associative(A) | v2_binop_1(the_L_meet(A),the_carrier(A)) | -latt_str(A). [resolve(1067,b,1058,b)]. 11.51/11.80 1068 empty_carrier(A) | -meet_semilatt_str(A) | -meet_associative(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc5_lattice2) # label(axiom). [clausify(464)]. 11.51/11.80 Derived: empty_carrier(c5) | -meet_associative(c5) | v1_partfun1(the_L_meet(c5),cartesian_product2(the_carrier(c5),the_carrier(c5)),the_carrier(c5)). [resolve(1068,b,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_associative(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A). [resolve(1068,b,1058,b)]. 11.51/11.80 1069 empty_carrier(A) | -meet_semilatt_str(A) | -meet_associative(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc5_lattice2) # label(axiom). [clausify(464)]. 11.51/11.80 1070 empty_carrier(A) | -meet_semilatt_str(A) | -meet_associative(A) | relation(the_L_meet(A)) # label(fc5_lattice2) # label(axiom). [clausify(464)]. 11.51/11.80 Derived: empty_carrier(c5) | -meet_associative(c5) | relation(the_L_meet(c5)). [resolve(1070,b,1044,a)]. 11.51/11.80 Derived: empty_carrier(A) | -meet_associative(A) | relation(the_L_meet(A)) | -latt_str(A). [resolve(1070,b,1058,b)]. 14.98/15.25 1071 -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_semilatt_str(A) | empty_carrier(A) | element(meet_commut(A,B,C),the_carrier(A)) # label(dt_k4_lattices) # label(axiom). [clausify(470)]. 14.98/15.25 Derived: -meet_commutative(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | empty_carrier(c5) | element(meet_commut(c5,A,B),the_carrier(c5)). [resolve(1071,d,1044,a)]. 14.98/15.25 Derived: -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | element(meet_commut(A,B,C),the_carrier(A)) | -latt_str(A). [resolve(1071,d,1058,b)]. 14.98/15.25 1072 empty_carrier(A) | -meet_semilatt_str(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_meet(A),B,C) = meet(A,B,C) # label(d2_lattices) # label(axiom). [clausify(500)]. 14.98/15.25 Derived: empty_carrier(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | apply_binary_as_element(the_carrier(c5),the_carrier(c5),the_carrier(c5),the_L_meet(c5),A,B) = meet(c5,A,B). [resolve(1072,b,1044,a)]. 14.98/15.25 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_meet(A),B,C) = meet(A,B,C) | -latt_str(A). [resolve(1072,b,1058,b)]. 14.98/15.25 1073 empty_carrier(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_semilatt_str(A) | meet_commut(A,C,B) = meet(A,C,B) # label(redefinition_k4_lattices) # label(axiom). [clausify(606)]. 14.98/15.25 Derived: empty_carrier(c5) | -meet_commutative(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | meet_commut(c5,B,A) = meet(c5,B,A). [resolve(1073,e,1044,a)]. 14.98/15.25 Derived: empty_carrier(A) | -meet_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet_commut(A,C,B) = meet(A,C,B) | -latt_str(A). [resolve(1073,e,1058,b)]. 14.98/15.25 1074 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,630,b)]. 14.98/15.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1074,a,1044,a)]. 14.98/15.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1074,a,1058,b)]. 14.98/15.25 1075 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,631,b)]. 14.98/15.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1075,a,1044,a)]. 14.98/15.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1075,a,1058,b)]. 14.98/15.25 1076 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,632,b)]. 14.98/15.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1076,a,1044,a)]. 14.98/15.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1076,a,1058,b)]. 14.98/15.25 1077 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,633,b)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1077,a,1044,a)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1077,a,1058,b)]. 14.98/15.26 1078 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,634,b)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1078,a,1044,a)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1078,a,1058,b)]. 14.98/15.26 1079 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,635,b)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1079,a,1044,a)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1079,a,1058,b)]. 14.98/15.26 1080 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,636,b)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1080,a,1044,a)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1080,a,1058,b)]. 14.98/15.26 1081 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f2(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,637,b)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f2(c5,A,B) = f1(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1081,a,1044,a)]. 14.98/15.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f2(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1081,a,1058,b)]. 14.98/15.26 1082 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,638,b)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1082,a,1044,a)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1082,a,1058,b)]. 15.03/15.27 1083 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,639,b)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1083,a,1044,a)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1083,a,1058,b)]. 15.03/15.27 1084 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,640,b)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1084,a,1044,a)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1084,a,1058,b)]. 15.03/15.27 1085 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,641,b)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1085,a,1044,a)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1085,a,1058,b)]. 15.03/15.27 1086 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,642,b)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1086,a,1044,a)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1086,a,1058,b)]. 15.03/15.27 1087 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,643,b)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1087,a,1044,a)]. 15.03/15.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1087,a,1058,b)]. 15.03/15.27 1088 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,644,b)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1088,a,1044,a)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1088,a,1058,b)]. 15.03/15.29 1089 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) = f1(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,645,b)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) = f1(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1089,a,1044,a)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) = f1(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1089,a,1058,b)]. 15.03/15.29 1090 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(957,b,646,b)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | -in(D,f8(c5,A,C)) | in(f9(c5,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1090,a,1044,a)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | in(f9(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1090,a,1058,b)]. 15.03/15.29 1091 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(957,b,647,b)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | -in(D,f8(c5,A,C)) | -element(E,powerset(the_carrier(c5))) | E != f10(c5,A,C,D) | subset_complement(the_carrier(c5),E) = f11(c5,A,C,D). [resolve(1091,a,1044,a)]. 15.03/15.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f10(B,A,D,E) | subset_complement(the_carrier(B),F) = f11(B,A,D,E) | -latt_str(B). [resolve(1091,a,1058,b)]. 15.03/15.29 1092 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,648,b)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | -in(D,f8(c5,A,C)) | in(f10(c5,A,C,D),complements_of_subsets(the_carrier(c5),A)). [resolve(1092,a,1044,a)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | in(f10(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1092,a,1058,b)]. 15.03/15.30 1093 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(957,b,649,b)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | -in(D,f8(c5,A,C)) | ordered_pair(f10(c5,A,C,D),f11(c5,A,C,D)) = D. [resolve(1093,a,1044,a)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | ordered_pair(f10(B,A,D,E),f11(B,A,D,E)) = E | -latt_str(B). [resolve(1093,a,1058,b)]. 15.03/15.30 1094 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(957,b,650,b)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | -in(D,f8(c5,A,C)) | f9(c5,A,C,D) = D. [resolve(1094,a,1044,a)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | -in(E,f8(B,A,D)) | f9(B,A,D,E) = E | -latt_str(B). [resolve(1094,a,1058,b)]. 15.03/15.30 1095 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,651,b)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | in(D,f8(c5,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | element(f12(c5,A,C,D,E,F,V6),powerset(the_carrier(c5))) | -in(F,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(F,V6) != D | E != D. [resolve(1095,a,1044,a)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f12(B,A,D,E,F,V6,V7),powerset(the_carrier(B))) | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E | -latt_str(B). [resolve(1095,a,1058,b)]. 15.03/15.30 1096 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,652,b)]. 15.03/15.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | in(D,f8(c5,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | f12(c5,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(F,V6) != D | E != D. [resolve(1096,a,1044,a)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f12(B,A,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E | -latt_str(B). [resolve(1096,a,1058,b)]. 15.03/15.31 1097 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f4(A,B,D) | subset_complement(the_carrier(A),C) = f5(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,653,b)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f4(c5,A,C) | subset_complement(the_carrier(c5),B) = f5(c5,A,C) | in(D,f8(c5,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | subset_complement(the_carrier(c5),f12(c5,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(F,V6) != D | E != D. [resolve(1097,a,1044,a)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f4(B,A,D) | subset_complement(the_carrier(B),C) = f5(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f12(B,A,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E | -latt_str(B). [resolve(1097,a,1058,b)]. 15.03/15.31 1098 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,654,b)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1098,a,1044,a)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1098,a,1058,b)]. 15.03/15.31 1099 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,655,b)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1099,a,1044,a)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1099,a,1058,b)]. 15.03/15.31 1100 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,656,b)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1100,a,1044,a)]. 15.03/15.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1100,a,1058,b)]. 15.03/15.32 1101 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,657,b)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1101,a,1044,a)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1101,a,1058,b)]. 15.03/15.32 1102 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,658,b)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1102,a,1044,a)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1102,a,1058,b)]. 15.03/15.32 1103 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,659,b)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1103,a,1044,a)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1103,a,1058,b)]. 15.03/15.32 1104 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,660,b)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1104,a,1044,a)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1104,a,1058,b)]. 15.03/15.32 1105 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f4(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,661,b)]. 15.03/15.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f4(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1105,a,1044,a)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f4(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1105,a,1058,b)]. 15.03/15.33 1106 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,662,b)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1106,a,1044,a)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1106,a,1058,b)]. 15.03/15.33 1107 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,663,b)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1107,a,1044,a)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1107,a,1058,b)]. 15.03/15.33 1108 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,664,b)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1108,a,1044,a)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1108,a,1058,b)]. 15.03/15.33 1109 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,665,b)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1109,a,1044,a)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1109,a,1058,b)]. 15.03/15.33 1110 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,666,b)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1110,a,1044,a)]. 15.03/15.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1110,a,1058,b)]. 15.03/15.33 1111 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,667,b)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1111,a,1044,a)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1111,a,1058,b)]. 15.03/15.35 1112 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,668,b)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1112,a,1044,a)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1112,a,1058,b)]. 15.03/15.35 1113 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f4(A,B,C),f5(A,B,C)) = f3(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,669,b)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f4(c5,A,B),f5(c5,A,B)) = f3(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1113,a,1044,a)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f4(B,A,C),f5(B,A,C)) = f3(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1113,a,1058,b)]. 15.03/15.35 1114 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,670,b)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1114,a,1044,a)]. 15.03/15.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1114,a,1058,b)]. 15.03/15.35 1115 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,671,b)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1115,a,1044,a)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1115,a,1058,b)]. 15.11/15.36 1116 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,672,b)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1116,a,1044,a)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1116,a,1058,b)]. 15.11/15.36 1117 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,673,b)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1117,a,1044,a)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1117,a,1058,b)]. 15.11/15.36 1118 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,674,b)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1118,a,1044,a)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1118,a,1058,b)]. 15.11/15.36 1119 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,675,b)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1119,a,1044,a)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1119,a,1058,b)]. 15.11/15.36 1120 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,676,b)]. 15.11/15.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1120,a,1044,a)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1120,a,1058,b)]. 15.11/15.37 1121 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f6(A,B,C),f7(A,B,C)) = f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,677,b)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f6(c5,A,B),f7(c5,A,B)) = f2(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1121,a,1044,a)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f6(B,A,C),f7(B,A,C)) = f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1121,a,1058,b)]. 15.11/15.37 1122 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f9(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)). [resolve(957,b,678,b)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | -in(D,f8(c5,A,C)) | in(f9(c5,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1122,a,1044,a)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | in(f9(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1122,a,1058,b)]. 15.11/15.37 1123 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f10(A,B,D,E) | subset_complement(the_carrier(A),F) = f11(A,B,D,E). [resolve(957,b,679,b)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | -in(D,f8(c5,A,C)) | -element(E,powerset(the_carrier(c5))) | E != f10(c5,A,C,D) | subset_complement(the_carrier(c5),E) = f11(c5,A,C,D). [resolve(1123,a,1044,a)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f10(B,A,D,E) | subset_complement(the_carrier(B),F) = f11(B,A,D,E) | -latt_str(B). [resolve(1123,a,1058,b)]. 15.11/15.37 1124 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | in(f10(A,B,D,E),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,680,b)]. 15.11/15.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | -in(D,f8(c5,A,C)) | in(f10(c5,A,C,D),complements_of_subsets(the_carrier(c5),A)). [resolve(1124,a,1044,a)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | in(f10(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1124,a,1058,b)]. 15.13/15.38 1125 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | ordered_pair(f10(A,B,D,E),f11(A,B,D,E)) = E. [resolve(957,b,681,b)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | -in(D,f8(c5,A,C)) | ordered_pair(f10(c5,A,C,D),f11(c5,A,C,D)) = D. [resolve(1125,a,1044,a)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | ordered_pair(f10(B,A,D,E),f11(B,A,D,E)) = E | -latt_str(B). [resolve(1125,a,1058,b)]. 15.13/15.38 1126 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | -in(E,f8(A,B,D)) | f9(A,B,D,E) = E. [resolve(957,b,682,b)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | -in(D,f8(c5,A,C)) | f9(c5,A,C,D) = D. [resolve(1126,a,1044,a)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | -in(E,f8(B,A,D)) | f9(B,A,D,E) = E | -latt_str(B). [resolve(1126,a,1058,b)]. 15.13/15.38 1127 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | element(f12(A,B,D,E,F,V6,V7),powerset(the_carrier(A))) | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,683,b)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | in(D,f8(c5,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | element(f12(c5,A,C,D,E,F,V6),powerset(the_carrier(c5))) | -in(F,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(F,V6) != D | E != D. [resolve(1127,a,1044,a)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | element(f12(B,A,D,E,F,V6,V7),powerset(the_carrier(B))) | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E | -latt_str(B). [resolve(1127,a,1058,b)]. 15.13/15.38 1128 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | f12(A,B,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,684,b)]. 15.13/15.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | in(D,f8(c5,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | f12(c5,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(F,V6) != D | E != D. [resolve(1128,a,1044,a)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | f12(B,A,D,E,F,V6,V7) = V6 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E | -latt_str(B). [resolve(1128,a,1058,b)]. 15.13/15.39 1129 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f6(A,B,D) | subset_complement(the_carrier(A),C) = f7(A,B,D) | in(E,f8(A,B,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | subset_complement(the_carrier(A),f12(A,B,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(A),B)) | ordered_pair(V6,V7) != E | F != E. [resolve(957,b,685,b)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f6(c5,A,C) | subset_complement(the_carrier(c5),B) = f7(c5,A,C) | in(D,f8(c5,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | subset_complement(the_carrier(c5),f12(c5,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(F,V6) != D | E != D. [resolve(1129,a,1044,a)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f6(B,A,D) | subset_complement(the_carrier(B),C) = f7(B,A,D) | in(E,f8(B,A,D)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | subset_complement(the_carrier(B),f12(B,A,D,E,F,V6,V7)) != V7 | -in(V6,complements_of_subsets(the_carrier(B),A)) | ordered_pair(V6,V7) != E | F != E | -latt_str(B). [resolve(1129,a,1058,b)]. 15.13/15.39 1130 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,686,b)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1130,a,1044,a)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1130,a,1058,b)]. 15.13/15.39 1131 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,687,b)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1131,a,1044,a)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1131,a,1058,b)]. 15.13/15.39 1132 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,688,b)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1132,a,1044,a)]. 15.13/15.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1132,a,1058,b)]. 15.13/15.40 1133 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,689,b)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1133,a,1044,a)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1133,a,1058,b)]. 15.13/15.40 1134 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,690,b)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1134,a,1044,a)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1134,a,1058,b)]. 15.13/15.40 1135 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,691,b)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1135,a,1044,a)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1135,a,1058,b)]. 15.13/15.40 1136 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,692,b)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1136,a,1044,a)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1136,a,1058,b)]. 15.13/15.40 1137 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f6(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,693,b)]. 15.13/15.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f6(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1137,a,1044,a)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f6(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1137,a,1058,b)]. 15.13/15.42 1138 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f9(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)). [resolve(957,b,694,b)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | -in(C,f8(c5,A,B)) | in(f9(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1138,a,1044,a)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1138,a,1058,b)]. 15.13/15.42 1139 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f10(A,B,C,D) | subset_complement(the_carrier(A),E) = f11(A,B,C,D). [resolve(957,b,695,b)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | -in(C,f8(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f10(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f11(c5,A,B,C). [resolve(1139,a,1044,a)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f10(B,A,C,D) | subset_complement(the_carrier(B),E) = f11(B,A,C,D) | -latt_str(B). [resolve(1139,a,1058,b)]. 15.13/15.42 1140 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | in(f10(A,B,C,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,696,b)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | -in(C,f8(c5,A,B)) | in(f10(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1140,a,1044,a)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | in(f10(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1140,a,1058,b)]. 15.13/15.42 1141 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | ordered_pair(f10(A,B,C,D),f11(A,B,C,D)) = D. [resolve(957,b,697,b)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | -in(C,f8(c5,A,B)) | ordered_pair(f10(c5,A,B,C),f11(c5,A,B,C)) = C. [resolve(1141,a,1044,a)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | ordered_pair(f10(B,A,C,D),f11(B,A,C,D)) = D | -latt_str(B). [resolve(1141,a,1058,b)]. 15.13/15.42 1142 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | -in(D,f8(A,B,C)) | f9(A,B,C,D) = D. [resolve(957,b,698,b)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | -in(C,f8(c5,A,B)) | f9(c5,A,B,C) = C. [resolve(1142,a,1044,a)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -latt_str(B). [resolve(1142,a,1058,b)]. 15.13/15.42 1143 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | element(f12(A,B,C,D,E,F,V6),powerset(the_carrier(A))) | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,699,b)]. 15.13/15.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | element(f12(c5,A,B,C,D,E,F),powerset(the_carrier(c5))) | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1143,a,1044,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | element(f12(B,A,C,D,E,F,V6),powerset(the_carrier(B))) | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1143,a,1058,b)]. 15.18/15.43 1144 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | f12(A,B,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,700,b)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | f12(c5,A,B,C,D,E,F) = E | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1144,a,1044,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | f12(B,A,C,D,E,F,V6) = F | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1144,a,1058,b)]. 15.18/15.43 1145 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f3(A,B,C) != f2(A,B,C) | in(D,f8(A,B,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) | subset_complement(the_carrier(A),f12(A,B,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(A),B)) | ordered_pair(F,V6) != D | E != D. [resolve(957,b,701,b)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f3(c5,A,B) != f2(c5,A,B) | in(C,f8(c5,A,B)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)) | subset_complement(the_carrier(c5),f12(c5,A,B,C,D,E,F)) != F | -in(E,complements_of_subsets(the_carrier(c5),A)) | ordered_pair(E,F) != C | D != C. [resolve(1145,a,1044,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f3(B,A,C) != f2(B,A,C) | in(D,f8(B,A,C)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | subset_complement(the_carrier(B),f12(B,A,C,D,E,F,V6)) != V6 | -in(F,complements_of_subsets(the_carrier(B),A)) | ordered_pair(F,V6) != D | E != D | -latt_str(B). [resolve(1145,a,1058,b)]. 15.18/15.43 1146 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | relation(f24(A,B)). [resolve(957,b,702,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | relation(f24(c5,A)). [resolve(1146,a,1044,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | relation(f24(B,A)) | -latt_str(B). [resolve(1146,a,1058,b)]. 15.18/15.43 1147 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,703,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | -in(ordered_pair(C,D),f24(c5,A)) | in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1147,a,1044,a)]. 15.18/15.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | -in(ordered_pair(D,E),f24(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1147,a,1058,b)]. 15.18/15.44 1148 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,704,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | -in(ordered_pair(C,D),f24(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(1148,a,1044,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | -in(ordered_pair(D,E),f24(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1148,a,1058,b)]. 15.18/15.44 1149 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(957,b,705,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | in(ordered_pair(C,D),f24(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | element(f25(c5,A,C,D),powerset(the_carrier(c5))). [resolve(1149,a,1044,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | in(ordered_pair(D,E),f24(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f25(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1149,a,1058,b)]. 15.18/15.44 1150 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(957,b,706,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | in(ordered_pair(C,D),f24(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | f25(c5,A,C,D) = C. [resolve(1150,a,1044,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | in(ordered_pair(D,E),f24(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f25(B,A,D,E) = D | -latt_str(B). [resolve(1150,a,1058,b)]. 15.18/15.44 1151 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(957,b,707,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | in(ordered_pair(C,D),f24(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f25(c5,A,C,D)) != D. [resolve(1151,a,1044,a)]. 15.18/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | in(ordered_pair(D,E),f24(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f25(B,A,D,E)) != E | -latt_str(B). [resolve(1151,a,1058,b)]. 15.18/15.44 1152 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f22(A,B) | function(f24(A,B)). [resolve(957,b,708,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f22(c5,A) | function(f24(c5,A)). [resolve(1152,a,1044,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f22(B,A) | function(f24(B,A)) | -latt_str(B). [resolve(1152,a,1058,b)]. 15.20/15.46 1153 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | relation(f24(A,B)). [resolve(957,b,709,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | relation(f24(c5,A)). [resolve(1153,a,1044,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | relation(f24(B,A)) | -latt_str(B). [resolve(1153,a,1058,b)]. 15.20/15.46 1154 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,710,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | -in(ordered_pair(C,D),f24(c5,A)) | in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1154,a,1044,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | -in(ordered_pair(D,E),f24(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1154,a,1058,b)]. 15.20/15.46 1155 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | -in(ordered_pair(D,E),f24(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,711,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | -in(ordered_pair(C,D),f24(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(1155,a,1044,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | -in(ordered_pair(D,E),f24(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1155,a,1058,b)]. 15.20/15.46 1156 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,D,E),powerset(the_carrier(A))). [resolve(957,b,712,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | in(ordered_pair(C,D),f24(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | element(f25(c5,A,C,D),powerset(the_carrier(c5))). [resolve(1156,a,1044,a)]. 15.20/15.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | in(ordered_pair(D,E),f24(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f25(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1156,a,1058,b)]. 15.20/15.46 1157 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f25(A,B,D,E) = D. [resolve(957,b,713,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | in(ordered_pair(C,D),f24(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | f25(c5,A,C,D) = C. [resolve(1157,a,1044,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | in(ordered_pair(D,E),f24(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f25(B,A,D,E) = D | -latt_str(B). [resolve(1157,a,1058,b)]. 15.20/15.47 1158 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | in(ordered_pair(D,E),f24(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,D,E)) != E. [resolve(957,b,714,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | in(ordered_pair(C,D),f24(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f25(c5,A,C,D)) != D. [resolve(1158,a,1044,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | in(ordered_pair(D,E),f24(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f25(B,A,D,E)) != E | -latt_str(B). [resolve(1158,a,1058,b)]. 15.20/15.47 1159 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f21(A,B) | subset_complement(the_carrier(A),C) = f23(A,B) | function(f24(A,B)). [resolve(957,b,715,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f21(c5,A) | subset_complement(the_carrier(c5),B) = f23(c5,A) | function(f24(c5,A)). [resolve(1159,a,1044,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f21(B,A) | subset_complement(the_carrier(B),C) = f23(B,A) | function(f24(B,A)) | -latt_str(B). [resolve(1159,a,1058,b)]. 15.20/15.47 1160 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f24(A,B)). [resolve(957,b,716,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f24(c5,A)). [resolve(1160,a,1044,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f24(B,A)) | -latt_str(B). [resolve(1160,a,1058,b)]. 15.20/15.47 1161 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,717,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(ordered_pair(B,C),f24(c5,A)) | in(B,complements_of_subsets(the_carrier(c5),A)). [resolve(1161,a,1044,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f24(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1161,a,1058,b)]. 15.20/15.47 1162 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,718,a)]. 15.20/15.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(ordered_pair(B,C),f24(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(1162,a,1044,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f24(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1162,a,1058,b)]. 15.20/15.48 1163 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(957,b,719,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(ordered_pair(B,C),f24(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | element(f25(c5,A,B,C),powerset(the_carrier(c5))). [resolve(1163,a,1044,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f24(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f25(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1163,a,1058,b)]. 15.20/15.48 1164 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(957,b,720,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(ordered_pair(B,C),f24(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | f25(c5,A,B,C) = B. [resolve(1164,a,1044,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f24(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f25(B,A,C,D) = C | -latt_str(B). [resolve(1164,a,1058,b)]. 15.20/15.48 1165 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(957,b,721,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(ordered_pair(B,C),f24(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f25(c5,A,B,C)) != C. [resolve(1165,a,1044,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f24(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f25(B,A,C,D)) != D | -latt_str(B). [resolve(1165,a,1058,b)]. 15.20/15.48 1166 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f21(A,B),complements_of_subsets(the_carrier(A),B)) | function(f24(A,B)). [resolve(957,b,722,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f21(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f24(c5,A)). [resolve(1166,a,1044,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f21(B,A),complements_of_subsets(the_carrier(B),A)) | function(f24(B,A)) | -latt_str(B). [resolve(1166,a,1058,b)]. 15.20/15.48 1167 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | relation(f24(A,B)). [resolve(957,b,723,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | relation(f24(c5,A)). [resolve(1167,a,1044,a)]. 15.20/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | relation(f24(B,A)) | -latt_str(B). [resolve(1167,a,1058,b)]. 15.20/15.48 1168 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,724,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | -in(ordered_pair(B,C),f24(c5,A)) | in(B,complements_of_subsets(the_carrier(c5),A)). [resolve(1168,a,1044,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | -in(ordered_pair(C,D),f24(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1168,a,1058,b)]. 15.20/15.50 1169 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | -in(ordered_pair(C,D),f24(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,725,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | -in(ordered_pair(B,C),f24(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(1169,a,1044,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | -in(ordered_pair(C,D),f24(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1169,a,1058,b)]. 15.20/15.50 1170 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f25(A,B,C,D),powerset(the_carrier(A))). [resolve(957,b,726,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | in(ordered_pair(B,C),f24(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | element(f25(c5,A,B,C),powerset(the_carrier(c5))). [resolve(1170,a,1044,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | in(ordered_pair(C,D),f24(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f25(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1170,a,1058,b)]. 15.20/15.50 1171 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f25(A,B,C,D) = C. [resolve(957,b,727,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | in(ordered_pair(B,C),f24(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | f25(c5,A,B,C) = B. [resolve(1171,a,1044,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | in(ordered_pair(C,D),f24(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f25(B,A,C,D) = C | -latt_str(B). [resolve(1171,a,1058,b)]. 15.20/15.50 1172 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | in(ordered_pair(C,D),f24(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f25(A,B,C,D)) != D. [resolve(957,b,728,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | in(ordered_pair(B,C),f24(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f25(c5,A,B,C)) != C. [resolve(1172,a,1044,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | in(ordered_pair(C,D),f24(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f25(B,A,C,D)) != D | -latt_str(B). [resolve(1172,a,1058,b)]. 15.20/15.50 1173 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f23(A,B) != f22(A,B) | function(f24(A,B)). [resolve(957,b,729,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f23(c5,A) != f22(c5,A) | function(f24(c5,A)). [resolve(1173,a,1044,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f23(B,A) != f22(B,A) | function(f24(B,A)) | -latt_str(B). [resolve(1173,a,1058,b)]. 15.20/15.50 1174 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(957,b,730,a)]. 15.20/15.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | in(f47(c5,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c5))) | C != B | apply(f49(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1174,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | in(f47(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f49(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1174,a,1058,b)]. 15.20/15.51 1175 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,731,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | in(f47(c5,A),A) | relation_dom(f49(c5,A)) = A. [resolve(1175,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | in(f47(B,A),A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1175,a,1058,b)]. 15.20/15.51 1176 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,732,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | in(f47(c5,A),A) | function(f49(c5,A)). [resolve(1176,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | in(f47(B,A),A) | function(f49(B,A)) | -latt_str(B). [resolve(1176,a,1058,b)]. 15.20/15.51 1177 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,733,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | in(f47(c5,A),A) | relation(f49(c5,A)). [resolve(1177,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | in(f47(B,A),A) | relation(f49(B,A)) | -latt_str(B). [resolve(1177,a,1058,b)]. 15.20/15.51 1178 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,734,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1178,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | element(f48(B,A,C),powerset(the_carrier(B))) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1178,a,1058,b)]. 15.20/15.51 1179 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,735,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | relation_dom(f49(c5,A)) = A. [resolve(1179,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | element(f48(B,A,C),powerset(the_carrier(B))) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1179,a,1058,b)]. 15.20/15.51 1180 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,736,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | function(f49(c5,A)). [resolve(1180,a,1044,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | element(f48(B,A,C),powerset(the_carrier(B))) | function(f49(B,A)) | -latt_str(B). [resolve(1180,a,1058,b)]. 15.20/15.51 1181 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,737,a)]. 15.20/15.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | relation(f49(c5,A)). [resolve(1181,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | element(f48(B,A,C),powerset(the_carrier(B))) | relation(f49(B,A)) | -latt_str(B). [resolve(1181,a,1058,b)]. 15.28/15.53 1182 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,738,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | f48(c5,A,B) = f47(c5,A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1182,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | f48(B,A,C) = f47(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1182,a,1058,b)]. 15.28/15.53 1183 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,739,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | f48(c5,A,B) = f47(c5,A) | relation_dom(f49(c5,A)) = A. [resolve(1183,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | f48(B,A,C) = f47(B,A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1183,a,1058,b)]. 15.28/15.53 1184 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(957,b,740,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | f48(c5,A,B) = f47(c5,A) | function(f49(c5,A)). [resolve(1184,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | f48(B,A,C) = f47(B,A) | function(f49(B,A)) | -latt_str(B). [resolve(1184,a,1058,b)]. 15.28/15.53 1185 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,741,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | f48(c5,A,B) = f47(c5,A) | relation(f49(c5,A)). [resolve(1185,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | f48(B,A,C) = f47(B,A) | relation(f49(B,A)) | -latt_str(B). [resolve(1185,a,1058,b)]. 15.28/15.53 1186 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,742,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1186,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1186,a,1058,b)]. 15.28/15.53 1187 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(957,b,743,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | relation_dom(f49(c5,A)) = A. [resolve(1187,a,1044,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1187,a,1058,b)]. 15.28/15.53 1188 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(957,b,744,a)]. 15.28/15.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | function(f49(c5,A)). [resolve(1188,a,1044,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | function(f49(B,A)) | -latt_str(B). [resolve(1188,a,1058,b)]. 15.28/15.54 1189 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f44(A,B),B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(957,b,745,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f44(c5,A),A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | relation(f49(c5,A)). [resolve(1189,a,1044,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f44(B,A),A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | relation(f49(B,A)) | -latt_str(B). [resolve(1189,a,1058,b)]. 15.28/15.54 1190 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,746,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | in(f47(c5,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1190,a,1044,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | in(f47(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1190,a,1058,b)]. 15.28/15.54 1191 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,747,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | in(f47(c5,A),A) | relation_dom(f49(c5,A)) = A. [resolve(1191,a,1044,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | in(f47(B,A),A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1191,a,1058,b)]. 15.28/15.54 1192 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,748,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | in(f47(c5,A),A) | function(f49(c5,A)). [resolve(1192,a,1044,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | in(f47(B,A),A) | function(f49(B,A)) | -latt_str(B). [resolve(1192,a,1058,b)]. 15.28/15.54 1193 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,749,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | in(f47(c5,A),A) | relation(f49(c5,A)). [resolve(1193,a,1044,a)]. 15.28/15.54 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | in(f47(B,A),A) | relation(f49(B,A)) | -latt_str(B). [resolve(1193,a,1058,b)]. 15.28/15.54 1194 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,750,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f49(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1194,a,1044,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f49(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1194,a,1058,b)]. 15.28/15.56 1195 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,751,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | relation_dom(f49(c5,A)) = A. [resolve(1195,a,1044,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1195,a,1058,b)]. 15.28/15.56 1196 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,752,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | function(f49(c5,A)). [resolve(1196,a,1044,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | function(f49(B,A)) | -latt_str(B). [resolve(1196,a,1058,b)]. 15.28/15.56 1197 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,753,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | relation(f49(c5,A)). [resolve(1197,a,1044,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | relation(f49(B,A)) | -latt_str(B). [resolve(1197,a,1058,b)]. 15.28/15.56 1198 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,754,a)]. 15.28/15.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | f48(c5,A,C) = f47(c5,A) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f49(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1198,a,1044,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | f48(B,A,D) = f47(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f49(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1198,a,1058,b)]. 15.33/15.57 1199 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,755,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | f48(c5,A,C) = f47(c5,A) | relation_dom(f49(c5,A)) = A. [resolve(1199,a,1044,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | f48(B,A,D) = f47(B,A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1199,a,1058,b)]. 15.33/15.57 1200 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(957,b,756,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | f48(c5,A,C) = f47(c5,A) | function(f49(c5,A)). [resolve(1200,a,1044,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | f48(B,A,D) = f47(B,A) | function(f49(B,A)) | -latt_str(B). [resolve(1200,a,1058,b)]. 15.33/15.57 1201 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,757,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | f48(c5,A,C) = f47(c5,A) | relation(f49(c5,A)). [resolve(1201,a,1044,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | f48(B,A,D) = f47(B,A) | relation(f49(B,A)) | -latt_str(B). [resolve(1201,a,1058,b)]. 15.33/15.57 1202 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,758,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f49(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1202,a,1044,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f49(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1202,a,1058,b)]. 15.33/15.57 1203 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(957,b,759,a)]. 15.33/15.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | relation_dom(f49(c5,A)) = A. [resolve(1203,a,1044,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1203,a,1058,b)]. 15.33/15.59 1204 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(957,b,760,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | function(f49(c5,A)). [resolve(1204,a,1044,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | function(f49(B,A)) | -latt_str(B). [resolve(1204,a,1058,b)]. 15.33/15.59 1205 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f45(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(957,b,761,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | relation(f49(c5,A)). [resolve(1205,a,1044,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f45(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | relation(f49(B,A)) | -latt_str(B). [resolve(1205,a,1058,b)]. 15.33/15.59 1206 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,762,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | in(f47(c5,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1206,a,1044,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | in(f47(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1206,a,1058,b)]. 15.33/15.59 1207 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,763,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | in(f47(c5,A),A) | relation_dom(f49(c5,A)) = A. [resolve(1207,a,1044,a)]. 15.33/15.59 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | in(f47(B,A),A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1207,a,1058,b)]. 15.33/15.59 1208 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,764,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | in(f47(c5,A),A) | function(f49(c5,A)). [resolve(1208,a,1044,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | in(f47(B,A),A) | function(f49(B,A)) | -latt_str(B). [resolve(1208,a,1058,b)]. 15.33/15.60 1209 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,765,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | in(f47(c5,A),A) | relation(f49(c5,A)). [resolve(1209,a,1044,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | in(f47(B,A),A) | relation(f49(B,A)) | -latt_str(B). [resolve(1209,a,1058,b)]. 15.33/15.60 1210 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,766,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f49(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1210,a,1044,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f49(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1210,a,1058,b)]. 15.33/15.60 1211 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,767,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | relation_dom(f49(c5,A)) = A. [resolve(1211,a,1044,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1211,a,1058,b)]. 15.33/15.60 1212 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,768,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | function(f49(c5,A)). [resolve(1212,a,1044,a)]. 15.33/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | function(f49(B,A)) | -latt_str(B). [resolve(1212,a,1058,b)]. 15.33/15.60 1213 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | element(f48(A,B,D),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,769,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | element(f48(c5,A,C),powerset(the_carrier(c5))) | relation(f49(c5,A)). [resolve(1213,a,1044,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | element(f48(B,A,D),powerset(the_carrier(B))) | relation(f49(B,A)) | -latt_str(B). [resolve(1213,a,1058,b)]. 15.33/15.62 1214 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,770,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | f48(c5,A,C) = f47(c5,A) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f49(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1214,a,1044,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | f48(B,A,D) = f47(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f49(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1214,a,1058,b)]. 15.33/15.62 1215 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,771,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | f48(c5,A,C) = f47(c5,A) | relation_dom(f49(c5,A)) = A. [resolve(1215,a,1044,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | f48(B,A,D) = f47(B,A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1215,a,1058,b)]. 15.33/15.62 1216 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | function(f49(A,B)). [resolve(957,b,772,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | f48(c5,A,C) = f47(c5,A) | function(f49(c5,A)). [resolve(1216,a,1044,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | f48(B,A,D) = f47(B,A) | function(f49(B,A)) | -latt_str(B). [resolve(1216,a,1058,b)]. 15.33/15.62 1217 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | f48(A,B,D) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,773,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | f48(c5,A,C) = f47(c5,A) | relation(f49(c5,A)). [resolve(1217,a,1044,a)]. 15.33/15.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | f48(B,A,D) = f47(B,A) | relation(f49(B,A)) | -latt_str(B). [resolve(1217,a,1058,b)]. 15.33/15.62 1218 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f49(A,B),E) = subset_complement(the_carrier(A),F). [resolve(957,b,774,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f49(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1218,a,1044,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f49(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1218,a,1058,b)]. 15.33/15.63 1219 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation_dom(f49(A,B)) = B. [resolve(957,b,775,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | relation_dom(f49(c5,A)) = A. [resolve(1219,a,1044,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1219,a,1058,b)]. 15.33/15.63 1220 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | function(f49(A,B)). [resolve(957,b,776,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | function(f49(c5,A)). [resolve(1220,a,1044,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | function(f49(B,A)) | -latt_str(B). [resolve(1220,a,1058,b)]. 15.33/15.63 1221 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f44(A,B) | subset_complement(the_carrier(A),C) = f46(A,B) | subset_complement(the_carrier(A),f48(A,B,D)) != D | relation(f49(A,B)). [resolve(957,b,777,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f44(c5,A) | subset_complement(the_carrier(c5),B) = f46(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,C)) != C | relation(f49(c5,A)). [resolve(1221,a,1044,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f44(B,A) | subset_complement(the_carrier(B),C) = f46(B,A) | subset_complement(the_carrier(B),f48(B,A,D)) != D | relation(f49(B,A)) | -latt_str(B). [resolve(1221,a,1058,b)]. 15.33/15.63 1222 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f49(A,B),C) = subset_complement(the_carrier(A),D). [resolve(957,b,778,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | in(f47(c5,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c5))) | C != B | apply(f49(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1222,a,1044,a)]. 15.33/15.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | in(f47(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f49(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1222,a,1058,b)]. 15.41/15.65 1223 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation_dom(f49(A,B)) = B. [resolve(957,b,779,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | in(f47(c5,A),A) | relation_dom(f49(c5,A)) = A. [resolve(1223,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | in(f47(B,A),A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1223,a,1058,b)]. 15.41/15.65 1224 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | function(f49(A,B)). [resolve(957,b,780,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | in(f47(c5,A),A) | function(f49(c5,A)). [resolve(1224,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | in(f47(B,A),A) | function(f49(B,A)) | -latt_str(B). [resolve(1224,a,1058,b)]. 15.41/15.65 1225 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(f47(A,B),B) | relation(f49(A,B)). [resolve(957,b,781,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | in(f47(c5,A),A) | relation(f49(c5,A)). [resolve(1225,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | in(f47(B,A),A) | relation(f49(B,A)) | -latt_str(B). [resolve(1225,a,1058,b)]. 15.41/15.65 1226 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,782,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1226,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | element(f48(B,A,C),powerset(the_carrier(B))) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1226,a,1058,b)]. 15.41/15.65 1227 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation_dom(f49(A,B)) = B. [resolve(957,b,783,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | relation_dom(f49(c5,A)) = A. [resolve(1227,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | element(f48(B,A,C),powerset(the_carrier(B))) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1227,a,1058,b)]. 15.41/15.65 1228 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | function(f49(A,B)). [resolve(957,b,784,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | function(f49(c5,A)). [resolve(1228,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | element(f48(B,A,C),powerset(the_carrier(B))) | function(f49(B,A)) | -latt_str(B). [resolve(1228,a,1058,b)]. 15.41/15.65 1229 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | element(f48(A,B,C),powerset(the_carrier(A))) | relation(f49(A,B)). [resolve(957,b,785,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | element(f48(c5,A,B),powerset(the_carrier(c5))) | relation(f49(c5,A)). [resolve(1229,a,1044,a)]. 15.41/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | element(f48(B,A,C),powerset(the_carrier(B))) | relation(f49(B,A)) | -latt_str(B). [resolve(1229,a,1058,b)]. 15.41/15.67 1230 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,786,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | f48(c5,A,B) = f47(c5,A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1230,a,1044,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | f48(B,A,C) = f47(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1230,a,1058,b)]. 15.41/15.67 1231 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation_dom(f49(A,B)) = B. [resolve(957,b,787,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | f48(c5,A,B) = f47(c5,A) | relation_dom(f49(c5,A)) = A. [resolve(1231,a,1044,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | f48(B,A,C) = f47(B,A) | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1231,a,1058,b)]. 15.41/15.67 1232 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | function(f49(A,B)). [resolve(957,b,788,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | f48(c5,A,B) = f47(c5,A) | function(f49(c5,A)). [resolve(1232,a,1044,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | f48(B,A,C) = f47(B,A) | function(f49(B,A)) | -latt_str(B). [resolve(1232,a,1058,b)]. 15.41/15.67 1233 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | f48(A,B,C) = f47(A,B) | relation(f49(A,B)). [resolve(957,b,789,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | f48(c5,A,B) = f47(c5,A) | relation(f49(c5,A)). [resolve(1233,a,1044,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | f48(B,A,C) = f47(B,A) | relation(f49(B,A)) | -latt_str(B). [resolve(1233,a,1058,b)]. 15.41/15.67 1234 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f49(A,B),D) = subset_complement(the_carrier(A),E). [resolve(957,b,790,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f49(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1234,a,1044,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f49(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1234,a,1058,b)]. 15.41/15.67 1235 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation_dom(f49(A,B)) = B. [resolve(957,b,791,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | relation_dom(f49(c5,A)) = A. [resolve(1235,a,1044,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | relation_dom(f49(B,A)) = A | -latt_str(B). [resolve(1235,a,1058,b)]. 15.41/15.67 1236 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | function(f49(A,B)). [resolve(957,b,792,a)]. 15.41/15.67 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | function(f49(c5,A)). [resolve(1236,a,1044,a)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | function(f49(B,A)) | -latt_str(B). [resolve(1236,a,1058,b)]. 15.41/15.68 1237 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | subset_complement(the_carrier(A),f48(A,B,C)) != C | relation(f49(A,B)). [resolve(957,b,793,a)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f46(c5,A) != f45(c5,A) | subset_complement(the_carrier(c5),f48(c5,A,B)) != B | relation(f49(c5,A)). [resolve(1237,a,1044,a)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f46(B,A) != f45(B,A) | subset_complement(the_carrier(B),f48(B,A,C)) != C | relation(f49(B,A)) | -latt_str(B). [resolve(1237,a,1058,b)]. 15.41/15.68 1238 -meet_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(957,b,794,a)]. 15.41/15.68 Derived: element(cast_as_carrier_subset(c5),powerset(the_carrier(c5))). [resolve(1238,a,1044,a)]. 15.41/15.68 Derived: element(cast_as_carrier_subset(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1238,a,1058,b)]. 15.41/15.68 1239 -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(957,b,795,a)]. 15.41/15.68 Derived: -element(A,powerset(the_carrier(c5))) | subset_difference(the_carrier(c5),cast_as_carrier_subset(c5),A) = subset_complement(the_carrier(c5),A). [resolve(1239,a,1044,a)]. 15.41/15.68 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(1239,a,1058,b)]. 15.41/15.68 1240 -meet_semilatt_str(A) | empty_carrier(A) | -empty(f93(A)). [resolve(957,b,796,b)]. 15.41/15.68 Derived: empty_carrier(c5) | -empty(f93(c5)). [resolve(1240,a,1044,a)]. 15.41/15.68 Derived: empty_carrier(A) | -empty(f93(A)) | -latt_str(A). [resolve(1240,a,1058,b)]. 15.41/15.68 1241 -meet_semilatt_str(A) | empty_carrier(A) | element(f93(A),powerset(the_carrier(A))). [resolve(957,b,797,b)]. 15.41/15.68 Derived: empty_carrier(c5) | element(f93(c5),powerset(the_carrier(c5))). [resolve(1241,a,1044,a)]. 15.41/15.68 Derived: empty_carrier(A) | element(f93(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1241,a,1058,b)]. 15.41/15.68 1242 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | relation(f124(A,B)). [resolve(957,b,798,b)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | relation(f124(c5,A)). [resolve(1242,a,1044,a)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | relation(f124(B,A)) | -latt_str(B). [resolve(1242,a,1058,b)]. 15.41/15.68 1243 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,799,b)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | -in(ordered_pair(B,C),f124(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(1243,a,1044,a)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | -in(ordered_pair(C,D),f124(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1243,a,1058,b)]. 15.41/15.68 1244 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(957,b,800,b)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | -in(ordered_pair(B,C),f124(c5,A)) | in(B,A). [resolve(1244,a,1044,a)]. 15.41/15.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | -in(ordered_pair(C,D),f124(B,A)) | in(C,A) | -latt_str(B). [resolve(1244,a,1058,b)]. 15.41/15.68 1245 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(957,b,801,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | in(ordered_pair(B,C),f124(c5,A)) | element(f125(c5,A,B,C),powerset(the_carrier(c5))) | -in(B,A). [resolve(1245,a,1044,a)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | element(f125(B,A,C,D),powerset(the_carrier(B))) | -in(C,A) | -latt_str(B). [resolve(1245,a,1058,b)]. 15.41/15.70 1246 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(957,b,802,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | in(ordered_pair(B,C),f124(c5,A)) | f125(c5,A,B,C) = B | -in(B,A). [resolve(1246,a,1044,a)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | f125(B,A,C,D) = C | -in(C,A) | -latt_str(B). [resolve(1246,a,1058,b)]. 15.41/15.70 1247 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(957,b,803,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | in(ordered_pair(B,C),f124(c5,A)) | subset_complement(the_carrier(c5),f125(c5,A,B,C)) != C | -in(B,A). [resolve(1247,a,1044,a)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | in(ordered_pair(C,D),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,C,D)) != D | -in(C,A) | -latt_str(B). [resolve(1247,a,1058,b)]. 15.41/15.70 1248 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f121(A,B),B) | function(f124(A,B)). [resolve(957,b,804,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f121(c5,A),A) | function(f124(c5,A)). [resolve(1248,a,1044,a)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f121(B,A),A) | function(f124(B,A)) | -latt_str(B). [resolve(1248,a,1058,b)]. 15.41/15.70 1249 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | relation(f124(A,B)). [resolve(957,b,805,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | relation(f124(c5,A)). [resolve(1249,a,1044,a)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | relation(f124(B,A)) | -latt_str(B). [resolve(1249,a,1058,b)]. 15.41/15.70 1250 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,806,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | -in(ordered_pair(C,D),f124(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(1250,a,1044,a)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | -in(ordered_pair(D,E),f124(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1250,a,1058,b)]. 15.41/15.70 1251 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(957,b,807,b)]. 15.41/15.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | -in(ordered_pair(C,D),f124(c5,A)) | in(C,A). [resolve(1251,a,1044,a)]. 15.41/15.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | -in(ordered_pair(D,E),f124(B,A)) | in(D,A) | -latt_str(B). [resolve(1251,a,1058,b)]. 15.41/15.71 1252 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(957,b,808,b)]. 15.41/15.71 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | in(ordered_pair(C,D),f124(c5,A)) | element(f125(c5,A,C,D),powerset(the_carrier(c5))) | -in(C,A). [resolve(1252,a,1044,a)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | element(f125(B,A,D,E),powerset(the_carrier(B))) | -in(D,A) | -latt_str(B). [resolve(1252,a,1058,b)]. 15.41/15.72 1253 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(957,b,809,b)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | in(ordered_pair(C,D),f124(c5,A)) | f125(c5,A,C,D) = C | -in(C,A). [resolve(1253,a,1044,a)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | f125(B,A,D,E) = D | -in(D,A) | -latt_str(B). [resolve(1253,a,1058,b)]. 15.41/15.72 1254 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(957,b,810,b)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | in(ordered_pair(C,D),f124(c5,A)) | subset_complement(the_carrier(c5),f125(c5,A,C,D)) != D | -in(C,A). [resolve(1254,a,1044,a)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | in(ordered_pair(D,E),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,D,E)) != E | -in(D,A) | -latt_str(B). [resolve(1254,a,1058,b)]. 15.41/15.72 1255 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f123(A,B) | function(f124(A,B)). [resolve(957,b,811,b)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f123(c5,A) | function(f124(c5,A)). [resolve(1255,a,1044,a)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f123(B,A) | function(f124(B,A)) | -latt_str(B). [resolve(1255,a,1058,b)]. 15.41/15.72 1256 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | relation(f124(A,B)). [resolve(957,b,812,b)]. 15.41/15.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | relation(f124(c5,A)). [resolve(1256,a,1044,a)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | relation(f124(B,A)) | -latt_str(B). [resolve(1256,a,1058,b)]. 15.48/15.73 1257 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E. [resolve(957,b,813,b)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | -in(ordered_pair(C,D),f124(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(1257,a,1044,a)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | -in(ordered_pair(D,E),f124(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1257,a,1058,b)]. 15.48/15.73 1258 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | -in(ordered_pair(D,E),f124(A,B)) | in(D,B). [resolve(957,b,814,b)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | -in(ordered_pair(C,D),f124(c5,A)) | in(C,A). [resolve(1258,a,1044,a)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | -in(ordered_pair(D,E),f124(B,A)) | in(D,A) | -latt_str(B). [resolve(1258,a,1058,b)]. 15.48/15.73 1259 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | element(f125(A,B,D,E),powerset(the_carrier(A))) | -in(D,B). [resolve(957,b,815,b)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | in(ordered_pair(C,D),f124(c5,A)) | element(f125(c5,A,C,D),powerset(the_carrier(c5))) | -in(C,A). [resolve(1259,a,1044,a)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | element(f125(B,A,D,E),powerset(the_carrier(B))) | -in(D,A) | -latt_str(B). [resolve(1259,a,1058,b)]. 15.48/15.73 1260 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | f125(A,B,D,E) = D | -in(D,B). [resolve(957,b,816,b)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | in(ordered_pair(C,D),f124(c5,A)) | f125(c5,A,C,D) = C | -in(C,A). [resolve(1260,a,1044,a)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | f125(B,A,D,E) = D | -in(D,A) | -latt_str(B). [resolve(1260,a,1058,b)]. 15.48/15.73 1261 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | in(ordered_pair(D,E),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,D,E)) != E | -in(D,B). [resolve(957,b,817,b)]. 15.48/15.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | in(ordered_pair(C,D),f124(c5,A)) | subset_complement(the_carrier(c5),f125(c5,A,C,D)) != D | -in(C,A). [resolve(1261,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | in(ordered_pair(D,E),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,D,E)) != E | -in(D,A) | -latt_str(B). [resolve(1261,a,1058,b)]. 15.48/15.75 1262 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f121(A,B) | subset_complement(the_carrier(A),C) = f122(A,B) | function(f124(A,B)). [resolve(957,b,818,b)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f121(c5,A) | subset_complement(the_carrier(c5),B) = f122(c5,A) | function(f124(c5,A)). [resolve(1262,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f121(B,A) | subset_complement(the_carrier(B),C) = f122(B,A) | function(f124(B,A)) | -latt_str(B). [resolve(1262,a,1058,b)]. 15.48/15.75 1263 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | relation(f124(A,B)). [resolve(957,b,819,b)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | relation(f124(c5,A)). [resolve(1263,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | relation(f124(B,A)) | -latt_str(B). [resolve(1263,a,1058,b)]. 15.48/15.75 1264 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D. [resolve(957,b,820,b)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | -in(ordered_pair(B,C),f124(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(1264,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | -in(ordered_pair(C,D),f124(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1264,a,1058,b)]. 15.48/15.75 1265 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | -in(ordered_pair(C,D),f124(A,B)) | in(C,B). [resolve(957,b,821,b)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | -in(ordered_pair(B,C),f124(c5,A)) | in(B,A). [resolve(1265,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | -in(ordered_pair(C,D),f124(B,A)) | in(C,A) | -latt_str(B). [resolve(1265,a,1058,b)]. 15.48/15.75 1266 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | element(f125(A,B,C,D),powerset(the_carrier(A))) | -in(C,B). [resolve(957,b,822,b)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | in(ordered_pair(B,C),f124(c5,A)) | element(f125(c5,A,B,C),powerset(the_carrier(c5))) | -in(B,A). [resolve(1266,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | element(f125(B,A,C,D),powerset(the_carrier(B))) | -in(C,A) | -latt_str(B). [resolve(1266,a,1058,b)]. 15.48/15.75 1267 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | f125(A,B,C,D) = C | -in(C,B). [resolve(957,b,823,b)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | in(ordered_pair(B,C),f124(c5,A)) | f125(c5,A,B,C) = B | -in(B,A). [resolve(1267,a,1044,a)]. 15.48/15.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | f125(B,A,C,D) = C | -in(C,A) | -latt_str(B). [resolve(1267,a,1058,b)]. 15.48/15.76 1268 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | in(ordered_pair(C,D),f124(A,B)) | subset_complement(the_carrier(A),f125(A,B,C,D)) != D | -in(C,B). [resolve(957,b,824,b)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | in(ordered_pair(B,C),f124(c5,A)) | subset_complement(the_carrier(c5),f125(c5,A,B,C)) != C | -in(B,A). [resolve(1268,a,1044,a)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | in(ordered_pair(C,D),f124(B,A)) | subset_complement(the_carrier(B),f125(B,A,C,D)) != D | -in(C,A) | -latt_str(B). [resolve(1268,a,1058,b)]. 15.48/15.76 1269 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f123(A,B) != f122(A,B) | function(f124(A,B)). [resolve(957,b,825,b)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f123(c5,A) != f122(c5,A) | function(f124(c5,A)). [resolve(1269,a,1044,a)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f123(B,A) != f122(B,A) | function(f124(B,A)) | -latt_str(B). [resolve(1269,a,1058,b)]. 15.48/15.76 1270 -meet_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(957,b,826,a)]. 15.48/15.76 Derived: cast_as_carrier_subset(c5) = the_carrier(c5). [resolve(1270,a,1044,a)]. 15.48/15.76 Derived: cast_as_carrier_subset(A) = the_carrier(A) | -latt_str(A). [resolve(1270,a,1058,b)]. 15.48/15.76 1271 -meet_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(957,b,828,a)]. 15.48/15.76 Derived: empty_carrier(c5) | -empty(cast_as_carrier_subset(c5)). [resolve(1271,a,1044,a)]. 15.48/15.76 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -latt_str(A). [resolve(1271,a,1058,b)]. 15.48/15.76 1272 -meet_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(957,b,830,a)]. 15.48/15.76 Derived: empty_carrier_subset(c5) = empty_set. [resolve(1272,a,1044,a)]. 15.48/15.76 Derived: empty_carrier_subset(A) = empty_set | -latt_str(A). [resolve(1272,a,1058,b)]. 15.48/15.76 1273 -meet_semilatt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(957,b,832,b)]. 15.48/15.76 Derived: empty_carrier(c5) | -empty(the_carrier(c5)). [resolve(1273,a,1044,a)]. 15.48/15.76 Derived: empty_carrier(A) | -empty(the_carrier(A)) | -latt_str(A). [resolve(1273,a,1058,b)]. 15.48/15.76 1274 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | element(f248(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,833,b)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f245(c5,A) | element(f248(c5,A,C,D),powerset(the_carrier(c5))) | -in(D,A) | in(C,f247(c5,A)). [resolve(1274,a,1044,a)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) | -latt_str(B). [resolve(1274,a,1058,b)]. 15.48/15.76 1275 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | f248(A,B,D,E) = E | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,834,b)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f245(c5,A) | f248(c5,A,C,D) = D | -in(D,A) | in(C,f247(c5,A)). [resolve(1275,a,1044,a)]. 15.48/15.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) | -latt_str(B). [resolve(1275,a,1058,b)]. 15.48/15.76 1276 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | subset_complement(the_carrier(A),f248(A,B,D,E)) != D | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,835,b)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f245(c5,A) | subset_complement(the_carrier(c5),f248(c5,A,C,D)) != C | -in(D,A) | in(C,f247(c5,A)). [resolve(1276,a,1044,a)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) | -latt_str(B). [resolve(1276,a,1058,b)]. 15.53/15.78 1277 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | -element(D,powerset(the_carrier(A))) | D != f249(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f247(A,B)). [resolve(957,b,836,b)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f245(c5,A) | -element(C,powerset(the_carrier(c5))) | C != f249(c5,A,D) | subset_complement(the_carrier(c5),C) = D | -in(D,f247(c5,A)). [resolve(1277,a,1044,a)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) | -latt_str(B). [resolve(1277,a,1058,b)]. 15.53/15.78 1278 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f245(A,B) | in(f249(A,B,D),B) | -in(D,f247(A,B)). [resolve(957,b,837,b)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f245(c5,A) | in(f249(c5,A,C),A) | -in(C,f247(c5,A)). [resolve(1278,a,1044,a)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f245(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) | -latt_str(B). [resolve(1278,a,1058,b)]. 15.53/15.78 1279 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | element(f248(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,838,b)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f244(c5,A),A) | element(f248(c5,A,B,C),powerset(the_carrier(c5))) | -in(C,A) | in(B,f247(c5,A)). [resolve(1279,a,1044,a)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) | -latt_str(B). [resolve(1279,a,1058,b)]. 15.53/15.78 1280 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | f248(A,B,C,D) = D | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,839,b)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f244(c5,A),A) | f248(c5,A,B,C) = C | -in(C,A) | in(B,f247(c5,A)). [resolve(1280,a,1044,a)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) | -latt_str(B). [resolve(1280,a,1058,b)]. 15.53/15.78 1281 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | subset_complement(the_carrier(A),f248(A,B,C,D)) != C | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,840,b)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f244(c5,A),A) | subset_complement(the_carrier(c5),f248(c5,A,B,C)) != B | -in(C,A) | in(B,f247(c5,A)). [resolve(1281,a,1044,a)]. 15.53/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) | -latt_str(B). [resolve(1281,a,1058,b)]. 15.53/15.78 1282 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | -element(C,powerset(the_carrier(A))) | C != f249(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f247(A,B)). [resolve(957,b,841,b)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f244(c5,A),A) | -element(B,powerset(the_carrier(c5))) | B != f249(c5,A,C) | subset_complement(the_carrier(c5),B) = C | -in(C,f247(c5,A)). [resolve(1282,a,1044,a)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) | -latt_str(B). [resolve(1282,a,1058,b)]. 15.55/15.80 1283 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f244(A,B),B) | in(f249(A,B,C),B) | -in(C,f247(A,B)). [resolve(957,b,842,b)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f244(c5,A),A) | in(f249(c5,A,B),A) | -in(B,f247(c5,A)). [resolve(1283,a,1044,a)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f244(B,A),A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) | -latt_str(B). [resolve(1283,a,1058,b)]. 15.55/15.80 1284 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | element(f248(A,B,D,E),powerset(the_carrier(A))) | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,843,b)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f246(c5,A) | element(f248(c5,A,C,D),powerset(the_carrier(c5))) | -in(D,A) | in(C,f247(c5,A)). [resolve(1284,a,1044,a)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | element(f248(B,A,D,E),powerset(the_carrier(B))) | -in(E,A) | in(D,f247(B,A)) | -latt_str(B). [resolve(1284,a,1058,b)]. 15.55/15.80 1285 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | f248(A,B,D,E) = E | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,844,b)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f246(c5,A) | f248(c5,A,C,D) = D | -in(D,A) | in(C,f247(c5,A)). [resolve(1285,a,1044,a)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | f248(B,A,D,E) = E | -in(E,A) | in(D,f247(B,A)) | -latt_str(B). [resolve(1285,a,1058,b)]. 15.55/15.80 1286 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | subset_complement(the_carrier(A),f248(A,B,D,E)) != D | -in(E,B) | in(D,f247(A,B)). [resolve(957,b,845,b)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f246(c5,A) | subset_complement(the_carrier(c5),f248(c5,A,C,D)) != C | -in(D,A) | in(C,f247(c5,A)). [resolve(1286,a,1044,a)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | subset_complement(the_carrier(B),f248(B,A,D,E)) != D | -in(E,A) | in(D,f247(B,A)) | -latt_str(B). [resolve(1286,a,1058,b)]. 15.55/15.80 1287 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | -element(D,powerset(the_carrier(A))) | D != f249(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f247(A,B)). [resolve(957,b,846,b)]. 15.55/15.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f246(c5,A) | -element(C,powerset(the_carrier(c5))) | C != f249(c5,A,D) | subset_complement(the_carrier(c5),C) = D | -in(D,f247(c5,A)). [resolve(1287,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | -element(D,powerset(the_carrier(B))) | D != f249(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f247(B,A)) | -latt_str(B). [resolve(1287,a,1058,b)]. 15.55/15.82 1288 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f244(A,B) | subset_complement(the_carrier(A),C) = f246(A,B) | in(f249(A,B,D),B) | -in(D,f247(A,B)). [resolve(957,b,847,b)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f244(c5,A) | subset_complement(the_carrier(c5),B) = f246(c5,A) | in(f249(c5,A,C),A) | -in(C,f247(c5,A)). [resolve(1288,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f244(B,A) | subset_complement(the_carrier(B),C) = f246(B,A) | in(f249(B,A,D),A) | -in(D,f247(B,A)) | -latt_str(B). [resolve(1288,a,1058,b)]. 15.55/15.82 1289 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | element(f248(A,B,C,D),powerset(the_carrier(A))) | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,848,b)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f246(c5,A) != f245(c5,A) | element(f248(c5,A,B,C),powerset(the_carrier(c5))) | -in(C,A) | in(B,f247(c5,A)). [resolve(1289,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | element(f248(B,A,C,D),powerset(the_carrier(B))) | -in(D,A) | in(C,f247(B,A)) | -latt_str(B). [resolve(1289,a,1058,b)]. 15.55/15.82 1290 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | f248(A,B,C,D) = D | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,849,b)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f246(c5,A) != f245(c5,A) | f248(c5,A,B,C) = C | -in(C,A) | in(B,f247(c5,A)). [resolve(1290,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | f248(B,A,C,D) = D | -in(D,A) | in(C,f247(B,A)) | -latt_str(B). [resolve(1290,a,1058,b)]. 15.55/15.82 1291 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | subset_complement(the_carrier(A),f248(A,B,C,D)) != C | -in(D,B) | in(C,f247(A,B)). [resolve(957,b,850,b)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f246(c5,A) != f245(c5,A) | subset_complement(the_carrier(c5),f248(c5,A,B,C)) != B | -in(C,A) | in(B,f247(c5,A)). [resolve(1291,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | subset_complement(the_carrier(B),f248(B,A,C,D)) != C | -in(D,A) | in(C,f247(B,A)) | -latt_str(B). [resolve(1291,a,1058,b)]. 15.55/15.82 1292 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | -element(C,powerset(the_carrier(A))) | C != f249(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f247(A,B)). [resolve(957,b,851,b)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f246(c5,A) != f245(c5,A) | -element(B,powerset(the_carrier(c5))) | B != f249(c5,A,C) | subset_complement(the_carrier(c5),B) = C | -in(C,f247(c5,A)). [resolve(1292,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | -element(C,powerset(the_carrier(B))) | C != f249(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f247(B,A)) | -latt_str(B). [resolve(1292,a,1058,b)]. 15.55/15.82 1293 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f246(A,B) != f245(A,B) | in(f249(A,B,C),B) | -in(C,f247(A,B)). [resolve(957,b,852,b)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f246(c5,A) != f245(c5,A) | in(f249(c5,A,B),A) | -in(B,f247(c5,A)). [resolve(1293,a,1044,a)]. 15.55/15.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f246(B,A) != f245(B,A) | in(f249(B,A,C),A) | -in(C,f247(B,A)) | -latt_str(B). [resolve(1293,a,1058,b)]. 15.55/15.82 1294 -meet_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(957,b,853,a)]. 15.58/15.83 Derived: element(empty_carrier_subset(c5),powerset(the_carrier(c5))). [resolve(1294,a,1044,a)]. 15.58/15.83 Derived: element(empty_carrier_subset(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1294,a,1058,b)]. 15.58/15.83 1295 -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(957,b,854,a)]. 15.58/15.83 Derived: empty_carrier(c5) | -element(A,powerset(the_carrier(c5))) | -element(B,the_carrier(c5)) | -in(B,subset_complement(the_carrier(c5),A)) | -in(B,A). [resolve(1295,a,1044,a)]. 15.58/15.83 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(1295,a,1058,b)]. 15.58/15.83 1296 -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(957,b,855,a)]. 15.58/15.83 Derived: empty_carrier(c5) | -element(A,powerset(the_carrier(c5))) | -element(B,the_carrier(c5)) | in(B,subset_complement(the_carrier(c5),A)) | in(B,A). [resolve(1296,a,1044,a)]. 15.58/15.83 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(1296,a,1058,b)]. 15.58/15.83 1297 -meet_semilatt_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(957,b,857,a)]. 15.58/15.83 Derived: empty(the_carrier(c5)) | -empty_carrier(c5). [resolve(1297,a,1044,a)]. 15.58/15.83 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -latt_str(A). [resolve(1297,a,1058,b)]. 15.58/15.83 1298 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,f258(A,B)) | -element(D,powerset(the_carrier(A))) | D != f259(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(957,b,859,a)]. 15.58/15.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f255(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(B,f258(c5,A)) | -element(C,powerset(the_carrier(c5))) | C != f259(c5,A,B) | subset_complement(the_carrier(c5),C) = B. [resolve(1298,a,1044,a)]. 15.58/15.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -latt_str(B). [resolve(1298,a,1058,b)]. 15.58/15.83 1299 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | -in(C,f258(A,B)) | in(f259(A,B,C),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,860,a)]. 15.58/15.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f255(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(B,f258(c5,A)) | in(f259(c5,A,B),complements_of_subsets(the_carrier(c5),A)). [resolve(1299,a,1044,a)]. 15.58/15.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1299,a,1058,b)]. 15.58/15.83 1300 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | element(f260(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,861,a)]. 15.58/15.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f255(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(B,f258(c5,A)) | element(f260(c5,A,B,C),powerset(the_carrier(c5))) | -in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1300,a,1044,a)]. 15.58/15.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1300,a,1058,b)]. 15.58/15.83 1301 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | f260(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,862,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f255(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(B,f258(c5,A)) | f260(c5,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1301,a,1044,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1301,a,1058,b)]. 15.58/15.85 1302 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f255(A,B),complements_of_subsets(the_carrier(A),B)) | in(C,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,863,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f255(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(B,f258(c5,A)) | subset_complement(the_carrier(c5),f260(c5,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1302,a,1044,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f255(B,A),complements_of_subsets(the_carrier(B),A)) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1302,a,1058,b)]. 15.58/15.85 1303 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | -in(D,f258(A,B)) | -element(E,powerset(the_carrier(A))) | E != f259(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(957,b,864,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f257(c5,A) | -in(C,f258(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != f259(c5,A,C) | subset_complement(the_carrier(c5),D) = C. [resolve(1303,a,1044,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1303,a,1058,b)]. 15.58/15.85 1304 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | -in(D,f258(A,B)) | in(f259(A,B,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,865,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f257(c5,A) | -in(C,f258(c5,A)) | in(f259(c5,A,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1304,a,1044,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1304,a,1058,b)]. 15.58/15.85 1305 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | element(f260(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,866,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f257(c5,A) | in(C,f258(c5,A)) | element(f260(c5,A,C,D),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)). [resolve(1305,a,1044,a)]. 15.58/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1305,a,1058,b)]. 15.58/15.86 1306 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | f260(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,867,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f257(c5,A) | in(C,f258(c5,A)) | f260(c5,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c5),A)). [resolve(1306,a,1044,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1306,a,1058,b)]. 15.58/15.86 1307 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f257(A,B) | in(D,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,868,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f257(c5,A) | in(C,f258(c5,A)) | subset_complement(the_carrier(c5),f260(c5,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)). [resolve(1307,a,1044,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f257(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1307,a,1058,b)]. 15.58/15.86 1308 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | -in(D,f258(A,B)) | -element(E,powerset(the_carrier(A))) | E != f259(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(957,b,869,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f256(c5,A) | -in(C,f258(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != f259(c5,A,C) | subset_complement(the_carrier(c5),D) = C. [resolve(1308,a,1044,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | -element(E,powerset(the_carrier(B))) | E != f259(B,A,D) | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1308,a,1058,b)]. 15.58/15.86 1309 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | -in(D,f258(A,B)) | in(f259(A,B,D),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,870,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f256(c5,A) | -in(C,f258(c5,A)) | in(f259(c5,A,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1309,a,1044,a)]. 15.58/15.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | -in(D,f258(B,A)) | in(f259(B,A,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1309,a,1058,b)]. 15.58/15.86 1310 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | element(f260(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,871,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f256(c5,A) | in(C,f258(c5,A)) | element(f260(c5,A,C,D),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)). [resolve(1310,a,1044,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | element(f260(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1310,a,1058,b)]. 15.58/15.88 1311 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | f260(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,872,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f256(c5,A) | in(C,f258(c5,A)) | f260(c5,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c5),A)). [resolve(1311,a,1044,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | f260(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1311,a,1058,b)]. 15.58/15.88 1312 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f255(A,B) | subset_complement(the_carrier(A),C) = f256(A,B) | in(D,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,873,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f255(c5,A) | subset_complement(the_carrier(c5),B) = f256(c5,A) | in(C,f258(c5,A)) | subset_complement(the_carrier(c5),f260(c5,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)). [resolve(1312,a,1044,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f255(B,A) | subset_complement(the_carrier(B),C) = f256(B,A) | in(D,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1312,a,1058,b)]. 15.58/15.88 1313 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | -in(C,f258(A,B)) | -element(D,powerset(the_carrier(A))) | D != f259(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(957,b,874,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f257(c5,A) != f256(c5,A) | -in(B,f258(c5,A)) | -element(C,powerset(the_carrier(c5))) | C != f259(c5,A,B) | subset_complement(the_carrier(c5),C) = B. [resolve(1313,a,1044,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | -element(D,powerset(the_carrier(B))) | D != f259(B,A,C) | subset_complement(the_carrier(B),D) = C | -latt_str(B). [resolve(1313,a,1058,b)]. 15.58/15.88 1314 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | -in(C,f258(A,B)) | in(f259(A,B,C),complements_of_subsets(the_carrier(A),B)). [resolve(957,b,875,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f257(c5,A) != f256(c5,A) | -in(B,f258(c5,A)) | in(f259(c5,A,B),complements_of_subsets(the_carrier(c5),A)). [resolve(1314,a,1044,a)]. 15.58/15.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | -in(C,f258(B,A)) | in(f259(B,A,C),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1314,a,1058,b)]. 15.58/15.88 1315 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | element(f260(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,876,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f257(c5,A) != f256(c5,A) | in(B,f258(c5,A)) | element(f260(c5,A,B,C),powerset(the_carrier(c5))) | -in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1315,a,1044,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | element(f260(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1315,a,1058,b)]. 15.58/15.89 1316 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | f260(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,877,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f257(c5,A) != f256(c5,A) | in(B,f258(c5,A)) | f260(c5,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1316,a,1044,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | f260(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1316,a,1058,b)]. 15.58/15.89 1317 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f257(A,B) != f256(A,B) | in(C,f258(A,B)) | subset_complement(the_carrier(A),f260(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)). [resolve(957,b,878,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f257(c5,A) != f256(c5,A) | in(B,f258(c5,A)) | subset_complement(the_carrier(c5),f260(c5,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(1317,a,1044,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f257(B,A) != f256(B,A) | in(C,f258(B,A)) | subset_complement(the_carrier(B),f260(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1317,a,1058,b)]. 15.58/15.89 1318 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(B) | finite(complements_of_subsets(the_carrier(A),B)). [resolve(957,b,879,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -finite(A) | finite(complements_of_subsets(the_carrier(c5),A)). [resolve(1318,a,1044,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(A) | finite(complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1318,a,1058,b)]. 15.58/15.89 1319 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(B) | -finite(complements_of_subsets(the_carrier(A),B)). [resolve(957,b,880,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | finite(A) | -finite(complements_of_subsets(the_carrier(c5),A)). [resolve(1319,a,1044,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(A) | -finite(complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1319,a,1058,b)]. 15.58/15.89 1320 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,882,b)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1320,a,1044,a)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1320,a,1058,b)]. 15.58/15.89 1321 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,883,b)]. 15.58/15.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1321,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1321,a,1058,b)]. 15.58/15.91 1322 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,884,b)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1322,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1322,a,1058,b)]. 15.58/15.91 1323 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,885,b)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1323,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1323,a,1058,b)]. 15.58/15.91 1324 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,886,b)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1324,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1324,a,1058,b)]. 15.58/15.91 1325 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,887,b)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1325,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1325,a,1058,b)]. 15.58/15.91 1326 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,888,b)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1326,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1326,a,1058,b)]. 15.58/15.91 1327 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) = f270(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,889,b)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) = f270(c5,A,B) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1327,a,1044,a)]. 15.58/15.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1327,a,1058,b)]. 15.67/15.93 1328 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,890,b)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1328,a,1044,a)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1328,a,1058,b)]. 15.67/15.93 1329 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,891,b)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1329,a,1044,a)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1329,a,1058,b)]. 15.67/15.93 1330 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,892,b)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1330,a,1044,a)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1330,a,1058,b)]. 15.67/15.93 1331 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,893,b)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1331,a,1044,a)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1331,a,1058,b)]. 15.67/15.93 1332 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,894,b)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1332,a,1044,a)]. 15.67/15.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1332,a,1058,b)]. 15.67/15.93 1333 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,895,b)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1333,a,1044,a)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1333,a,1058,b)]. 15.67/15.94 1334 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,896,b)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1334,a,1044,a)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1334,a,1058,b)]. 15.67/15.94 1335 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f273(A,B,C),f274(A,B,C)) = f272(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,897,b)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f273(c5,A,B),f274(c5,A,B)) = f272(c5,A,B) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1335,a,1044,a)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f273(B,A,C),f274(B,A,C)) = f272(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1335,a,1058,b)]. 15.67/15.94 1336 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,898,b)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(c5,A,C,E,D,F,V6),powerset(the_carrier(c5))) | -in(F,A) | in(E,f277(c5,A,C)). [resolve(1336,a,1044,a)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -latt_str(B). [resolve(1336,a,1058,b)]. 15.67/15.94 1337 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | f278(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,899,b)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(c5,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(c5,A,C)). [resolve(1337,a,1044,a)]. 15.67/15.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -latt_str(B). [resolve(1337,a,1058,b)]. 15.67/15.94 1338 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(A),f278(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,900,b)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(c5),f278(c5,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(c5,A,C)). [resolve(1338,a,1044,a)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -latt_str(B). [resolve(1338,a,1058,b)]. 15.67/15.96 1339 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | in(f279(A,B,D,E),cartesian_product2(B,D)) | -in(E,f277(A,B,D)). [resolve(957,b,901,b)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | in(f279(c5,A,C,D),cartesian_product2(A,C)) | -in(D,f277(c5,A,C)). [resolve(1339,a,1044,a)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1339,a,1058,b)]. 15.67/15.96 1340 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | f279(A,B,D,E) = E | -in(E,f277(A,B,D)). [resolve(957,b,902,b)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | f279(c5,A,C,D) = D | -in(D,f277(c5,A,C)). [resolve(1340,a,1044,a)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1340,a,1058,b)]. 15.67/15.96 1341 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | ordered_pair(f280(A,B,D,E),f281(A,B,D,E)) = E | -in(E,f277(A,B,D)). [resolve(957,b,903,b)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | ordered_pair(f280(c5,A,C,D),f281(c5,A,C,D)) = D | -in(D,f277(c5,A,C)). [resolve(1341,a,1044,a)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1341,a,1058,b)]. 15.67/15.96 1342 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f280(A,B,D,F) | subset_complement(the_carrier(A),E) = f281(A,B,D,F) | -in(F,f277(A,B,D)). [resolve(957,b,904,b)]. 15.67/15.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | -element(D,powerset(the_carrier(c5))) | D != f280(c5,A,C,E) | subset_complement(the_carrier(c5),D) = f281(c5,A,C,E) | -in(E,f277(c5,A,C)). [resolve(1342,a,1044,a)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -latt_str(B). [resolve(1342,a,1058,b)]. 15.67/15.98 1343 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f273(A,B,D) | subset_complement(the_carrier(A),C) = f274(A,B,D) | in(f280(A,B,D,E),B) | -in(E,f277(A,B,D)). [resolve(957,b,905,b)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f273(c5,A,C) | subset_complement(the_carrier(c5),B) = f274(c5,A,C) | in(f280(c5,A,C,D),A) | -in(D,f277(c5,A,C)). [resolve(1343,a,1044,a)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f273(B,A,D) | subset_complement(the_carrier(B),C) = f274(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1343,a,1058,b)]. 15.67/15.98 1344 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,906,b)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1344,a,1044,a)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1344,a,1058,b)]. 15.67/15.98 1345 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,907,b)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1345,a,1044,a)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1345,a,1058,b)]. 15.67/15.98 1346 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,908,b)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1346,a,1044,a)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1346,a,1058,b)]. 15.67/15.98 1347 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,909,b)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1347,a,1044,a)]. 15.67/15.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1347,a,1058,b)]. 15.67/15.98 1348 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,910,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1348,a,1044,a)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1348,a,1058,b)]. 15.76/16.00 1349 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,911,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1349,a,1044,a)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1349,a,1058,b)]. 15.76/16.00 1350 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,912,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1350,a,1044,a)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1350,a,1058,b)]. 15.76/16.00 1351 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f273(A,B,C),B) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,913,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f273(c5,A,B),A) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1351,a,1044,a)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f273(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1351,a,1058,b)]. 15.76/16.00 1352 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,914,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1352,a,1044,a)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1352,a,1058,b)]. 15.76/16.00 1353 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,915,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1353,a,1044,a)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1353,a,1058,b)]. 15.76/16.00 1354 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,916,b)]. 15.76/16.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1354,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1354,a,1058,b)]. 15.76/16.02 1355 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,917,b)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1355,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1355,a,1058,b)]. 15.76/16.02 1356 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,918,b)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1356,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1356,a,1058,b)]. 15.76/16.02 1357 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,919,b)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1357,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1357,a,1058,b)]. 15.76/16.02 1358 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,920,b)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1358,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1358,a,1058,b)]. 15.76/16.02 1359 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f275(A,B,C),B) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,921,b)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f275(c5,A,B),A) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1359,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f275(B,A,C),A) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1359,a,1058,b)]. 15.76/16.02 1360 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(A,B,D,F,E,V6,V7),powerset(the_carrier(A))) | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,922,b)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(c5,A,C,E,D,F,V6),powerset(the_carrier(c5))) | -in(F,A) | in(E,f277(c5,A,C)). [resolve(1360,a,1044,a)]. 15.76/16.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | element(f278(B,A,D,F,E,V6,V7),powerset(the_carrier(B))) | -in(V6,A) | in(F,f277(B,A,D)) | -latt_str(B). [resolve(1360,a,1058,b)]. 15.76/16.03 1361 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | f278(A,B,D,F,E,V6,V7) = V6 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,923,b)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(c5,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(c5,A,C)). [resolve(1361,a,1044,a)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | f278(B,A,D,F,E,V6,V7) = V6 | -in(V6,A) | in(F,f277(B,A,D)) | -latt_str(B). [resolve(1361,a,1058,b)]. 15.76/16.03 1362 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -in(E,cartesian_product2(B,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(A),f278(A,B,D,F,E,V6,V7)) != V7 | -in(V6,B) | in(F,f277(A,B,D)). [resolve(957,b,924,b)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(c5),f278(c5,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(c5,A,C)). [resolve(1362,a,1044,a)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -in(E,cartesian_product2(A,D)) | E != F | ordered_pair(V6,V7) != F | subset_complement(the_carrier(B),f278(B,A,D,F,E,V6,V7)) != V7 | -in(V6,A) | in(F,f277(B,A,D)) | -latt_str(B). [resolve(1362,a,1058,b)]. 15.76/16.03 1363 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | in(f279(A,B,D,E),cartesian_product2(B,D)) | -in(E,f277(A,B,D)). [resolve(957,b,925,b)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | in(f279(c5,A,C,D),cartesian_product2(A,C)) | -in(D,f277(c5,A,C)). [resolve(1363,a,1044,a)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f279(B,A,D,E),cartesian_product2(A,D)) | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1363,a,1058,b)]. 15.76/16.03 1364 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | f279(A,B,D,E) = E | -in(E,f277(A,B,D)). [resolve(957,b,926,b)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | f279(c5,A,C,D) = D | -in(D,f277(c5,A,C)). [resolve(1364,a,1044,a)]. 15.76/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | f279(B,A,D,E) = E | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1364,a,1058,b)]. 15.76/16.03 1365 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | ordered_pair(f280(A,B,D,E),f281(A,B,D,E)) = E | -in(E,f277(A,B,D)). [resolve(957,b,927,b)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | ordered_pair(f280(c5,A,C,D),f281(c5,A,C,D)) = D | -in(D,f277(c5,A,C)). [resolve(1365,a,1044,a)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | ordered_pair(f280(B,A,D,E),f281(B,A,D,E)) = E | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1365,a,1058,b)]. 15.76/16.05 1366 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | -element(E,powerset(the_carrier(A))) | E != f280(A,B,D,F) | subset_complement(the_carrier(A),E) = f281(A,B,D,F) | -in(F,f277(A,B,D)). [resolve(957,b,928,b)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | -element(D,powerset(the_carrier(c5))) | D != f280(c5,A,C,E) | subset_complement(the_carrier(c5),D) = f281(c5,A,C,E) | -in(E,f277(c5,A,C)). [resolve(1366,a,1044,a)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | -element(E,powerset(the_carrier(B))) | E != f280(B,A,D,F) | subset_complement(the_carrier(B),E) = f281(B,A,D,F) | -in(F,f277(B,A,D)) | -latt_str(B). [resolve(1366,a,1058,b)]. 15.76/16.05 1367 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f275(A,B,D) | subset_complement(the_carrier(A),C) = f276(A,B,D) | in(f280(A,B,D,E),B) | -in(E,f277(A,B,D)). [resolve(957,b,929,b)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f275(c5,A,C) | subset_complement(the_carrier(c5),B) = f276(c5,A,C) | in(f280(c5,A,C,D),A) | -in(D,f277(c5,A,C)). [resolve(1367,a,1044,a)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f275(B,A,D) | subset_complement(the_carrier(B),C) = f276(B,A,D) | in(f280(B,A,D,E),A) | -in(E,f277(B,A,D)) | -latt_str(B). [resolve(1367,a,1058,b)]. 15.76/16.05 1368 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,930,b)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1368,a,1044,a)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1368,a,1058,b)]. 15.76/16.05 1369 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,931,b)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1369,a,1044,a)]. 15.76/16.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1369,a,1058,b)]. 15.76/16.07 1370 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,932,b)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1370,a,1044,a)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1370,a,1058,b)]. 15.76/16.07 1371 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,933,b)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1371,a,1044,a)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1371,a,1058,b)]. 15.76/16.07 1372 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,934,b)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1372,a,1044,a)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1372,a,1058,b)]. 15.76/16.07 1373 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,935,b)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1373,a,1044,a)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1373,a,1058,b)]. 15.76/16.07 1374 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,936,b)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1374,a,1044,a)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1374,a,1058,b)]. 15.76/16.07 1375 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f275(A,B,C),f276(A,B,C)) = f271(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,937,b)]. 15.76/16.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f275(c5,A,B),f276(c5,A,B)) = f271(c5,A,B) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1375,a,1044,a)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f275(B,A,C),f276(B,A,C)) = f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1375,a,1058,b)]. 15.84/16.09 1376 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,938,b)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1376,a,1044,a)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1376,a,1058,b)]. 15.84/16.09 1377 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,939,b)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1377,a,1044,a)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1377,a,1058,b)]. 15.84/16.09 1378 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,940,b)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1378,a,1044,a)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1378,a,1058,b)]. 15.84/16.09 1379 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,941,b)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1379,a,1044,a)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1379,a,1058,b)]. 15.84/16.09 1380 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,942,b)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1380,a,1044,a)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1380,a,1058,b)]. 15.84/16.09 1381 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,943,b)]. 15.84/16.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1381,a,1044,a)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1381,a,1058,b)]. 15.86/16.11 1382 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,944,b)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1382,a,1044,a)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1382,a,1058,b)]. 15.86/16.11 1383 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f271(A,B,C) = f270(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,945,b)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f271(c5,A,B) = f270(c5,A,B) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1383,a,1044,a)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f271(B,A,C) = f270(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1383,a,1058,b)]. 15.86/16.11 1384 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | element(f278(A,B,C,E,D,F,V6),powerset(the_carrier(A))) | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,946,b)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | element(f278(c5,A,B,D,C,E,F),powerset(the_carrier(c5))) | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1384,a,1044,a)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | element(f278(B,A,C,E,D,F,V6),powerset(the_carrier(B))) | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1384,a,1058,b)]. 15.86/16.11 1385 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | f278(A,B,C,E,D,F,V6) = F | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,947,b)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | f278(c5,A,B,D,C,E,F) = E | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1385,a,1044,a)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | f278(B,A,C,E,D,F,V6) = F | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1385,a,1058,b)]. 15.86/16.11 1386 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -in(D,cartesian_product2(B,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(A),f278(A,B,C,E,D,F,V6)) != V6 | -in(F,B) | in(E,f277(A,B,C)). [resolve(957,b,948,b)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | -in(C,cartesian_product2(A,B)) | C != D | ordered_pair(E,F) != D | subset_complement(the_carrier(c5),f278(c5,A,B,D,C,E,F)) != F | -in(E,A) | in(D,f277(c5,A,B)). [resolve(1386,a,1044,a)]. 15.86/16.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -in(D,cartesian_product2(A,C)) | D != E | ordered_pair(F,V6) != E | subset_complement(the_carrier(B),f278(B,A,C,E,D,F,V6)) != V6 | -in(F,A) | in(E,f277(B,A,C)) | -latt_str(B). [resolve(1386,a,1058,b)]. 15.86/16.11 1387 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | in(f279(A,B,C,D),cartesian_product2(B,C)) | -in(D,f277(A,B,C)). [resolve(957,b,949,b)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | in(f279(c5,A,B,C),cartesian_product2(A,B)) | -in(C,f277(c5,A,B)). [resolve(1387,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f279(B,A,C,D),cartesian_product2(A,C)) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1387,a,1058,b)]. 15.88/16.12 1388 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | f279(A,B,C,D) = D | -in(D,f277(A,B,C)). [resolve(957,b,950,b)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | f279(c5,A,B,C) = C | -in(C,f277(c5,A,B)). [resolve(1388,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | f279(B,A,C,D) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1388,a,1058,b)]. 15.88/16.12 1389 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | ordered_pair(f280(A,B,C,D),f281(A,B,C,D)) = D | -in(D,f277(A,B,C)). [resolve(957,b,951,b)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | ordered_pair(f280(c5,A,B,C),f281(c5,A,B,C)) = C | -in(C,f277(c5,A,B)). [resolve(1389,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | ordered_pair(f280(B,A,C,D),f281(B,A,C,D)) = D | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1389,a,1058,b)]. 15.88/16.12 1390 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | -element(D,powerset(the_carrier(A))) | D != f280(A,B,C,E) | subset_complement(the_carrier(A),D) = f281(A,B,C,E) | -in(E,f277(A,B,C)). [resolve(957,b,952,b)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | -element(C,powerset(the_carrier(c5))) | C != f280(c5,A,B,D) | subset_complement(the_carrier(c5),C) = f281(c5,A,B,D) | -in(D,f277(c5,A,B)). [resolve(1390,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | -element(D,powerset(the_carrier(B))) | D != f280(B,A,C,E) | subset_complement(the_carrier(B),D) = f281(B,A,C,E) | -in(E,f277(B,A,C)) | -latt_str(B). [resolve(1390,a,1058,b)]. 15.88/16.12 1391 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f272(A,B,C) != f271(A,B,C) | in(f280(A,B,C,D),B) | -in(D,f277(A,B,C)). [resolve(957,b,953,b)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f272(c5,A,B) != f271(c5,A,B) | in(f280(c5,A,B,C),A) | -in(C,f277(c5,A,B)). [resolve(1391,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f272(B,A,C) != f271(B,A,C) | in(f280(B,A,C,D),A) | -in(D,f277(B,A,C)) | -latt_str(B). [resolve(1391,a,1058,b)]. 15.88/16.12 1392 -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B. [resolve(957,b,954,a)]. 15.88/16.12 Derived: -element(A,powerset(the_carrier(c5))) | subset_intersection2(the_carrier(c5),A,cast_as_carrier_subset(c5)) = A. [resolve(1392,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -latt_str(B). [resolve(1392,a,1058,b)]. 15.88/16.12 1393 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | cast_as_carrier_subset(A) != union_of_subsets(the_carrier(A),B) | is_a_cover_of_carrier(A,B). [resolve(957,b,955,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | cast_as_carrier_subset(c5) != union_of_subsets(the_carrier(c5),A) | is_a_cover_of_carrier(c5,A). [resolve(1393,a,1044,a)]. 15.88/16.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) != union_of_subsets(the_carrier(B),A) | is_a_cover_of_carrier(B,A) | -latt_str(B). [resolve(1393,a,1058,b)]. 15.88/16.12 1394 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | cast_as_carrier_subset(A) = union_of_subsets(the_carrier(A),B) | -is_a_cover_of_carrier(A,B). [resolve(957,b,956,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | cast_as_carrier_subset(c5) = union_of_subsets(the_carrier(c5),A) | -is_a_cover_of_carrier(c5,A). [resolve(1394,a,1044,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | cast_as_carrier_subset(B) = union_of_subsets(the_carrier(B),A) | -is_a_cover_of_carrier(B,A) | -latt_str(B). [resolve(1394,a,1058,b)]. 15.88/16.17 1395 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(958,a,957,b)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f336(c5,A,B),powerset(the_carrier(c5))) | function(f337(c5,A)). [resolve(1395,e,1044,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -latt_str(B). [resolve(1395,e,1058,b)]. 15.88/16.17 1396 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(959,a,957,b)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f336(c5,A,B),powerset(the_carrier(c5))) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1396,e,1044,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1396,e,1058,b)]. 15.88/16.17 1397 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(960,a,957,b)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f336(c5,A,B),powerset(the_carrier(c5))) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1397,h,1044,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1397,h,1058,b)]. 15.88/16.17 1398 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(961,a,957,b)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f336(c5,A,B),powerset(the_carrier(c5))) | relation(f337(c5,A)). [resolve(1398,e,1044,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -latt_str(B). [resolve(1398,e,1058,b)]. 15.88/16.17 1399 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(962,a,957,b)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | f336(c5,A,B) = f335(c5,A) | function(f337(c5,A)). [resolve(1399,e,1044,a)]. 15.88/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -latt_str(B). [resolve(1399,e,1058,b)]. 15.98/16.23 1400 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(963,a,957,b)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | f336(c5,A,B) = f335(c5,A) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1400,e,1044,a)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1400,e,1058,b)]. 15.98/16.23 1401 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(964,a,957,b)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | f336(c5,A,B) = f335(c5,A) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1401,h,1044,a)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1401,h,1058,b)]. 15.98/16.23 1402 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(965,a,957,b)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | f336(c5,A,B) = f335(c5,A) | relation(f337(c5,A)). [resolve(1402,e,1044,a)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -latt_str(B). [resolve(1402,e,1058,b)]. 15.98/16.23 1403 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(966,a,957,b)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | function(f337(c5,A)). [resolve(1403,e,1044,a)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -latt_str(B). [resolve(1403,e,1058,b)]. 15.98/16.23 1404 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(967,a,957,b)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1404,e,1044,a)]. 15.98/16.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1404,e,1058,b)]. 15.98/16.23 1405 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(968,a,957,b)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1405,h,1044,a)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1405,h,1058,b)]. 15.98/16.27 1406 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(969,a,957,b)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | relation(f337(c5,A)). [resolve(1406,e,1044,a)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -latt_str(B). [resolve(1406,e,1058,b)]. 15.98/16.27 1407 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(970,a,957,b)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f337(c5,A)). [resolve(1407,e,1044,a)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -latt_str(B). [resolve(1407,e,1058,b)]. 15.98/16.27 1408 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(971,a,957,b)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1408,e,1044,a)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1408,e,1058,b)]. 15.98/16.27 1409 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(972,a,957,b)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | -element(C,powerset(the_carrier(c5))) | C != B | apply(f337(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1409,h,1044,a)]. 15.98/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1409,h,1058,b)]. 15.98/16.32 1410 -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(973,a,957,b)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f332(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f337(c5,A)). [resolve(1410,e,1044,a)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f332(B,A),complements_of_subsets(the_carrier(B),A)) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -latt_str(B). [resolve(1410,e,1058,b)]. 15.98/16.32 1411 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(974,a,957,b)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | function(f337(c5,A)). [resolve(1411,g,1044,a)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -latt_str(B). [resolve(1411,g,1058,b)]. 15.98/16.32 1412 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(975,a,957,b)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1412,g,1044,a)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1412,g,1058,b)]. 15.98/16.32 1413 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(976,a,957,b)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f337(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1413,j,1044,a)]. 15.98/16.32 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1413,j,1058,b)]. 15.98/16.32 1414 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(977,a,957,b)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | relation(f337(c5,A)). [resolve(1414,g,1044,a)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -latt_str(B). [resolve(1414,g,1058,b)]. 16.10/16.37 1415 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(978,a,957,b)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | f336(c5,A,C) = f335(c5,A) | function(f337(c5,A)). [resolve(1415,g,1044,a)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -latt_str(B). [resolve(1415,g,1058,b)]. 16.10/16.37 1416 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(979,a,957,b)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | f336(c5,A,C) = f335(c5,A) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1416,g,1044,a)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1416,g,1058,b)]. 16.10/16.37 1417 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(980,a,957,b)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | f336(c5,A,C) = f335(c5,A) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f337(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1417,j,1044,a)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1417,j,1058,b)]. 16.10/16.37 1418 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(981,a,957,b)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | f336(c5,A,C) = f335(c5,A) | relation(f337(c5,A)). [resolve(1418,g,1044,a)]. 16.10/16.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -latt_str(B). [resolve(1418,g,1058,b)]. 16.10/16.42 1419 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(982,a,957,b)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | function(f337(c5,A)). [resolve(1419,g,1044,a)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -latt_str(B). [resolve(1419,g,1058,b)]. 16.10/16.42 1420 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(983,a,957,b)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1420,g,1044,a)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1420,g,1058,b)]. 16.10/16.42 1421 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(984,a,957,b)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f337(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1421,j,1044,a)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1421,j,1058,b)]. 16.10/16.42 1422 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(985,a,957,b)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | relation(f337(c5,A)). [resolve(1422,g,1044,a)]. 16.10/16.42 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -latt_str(B). [resolve(1422,g,1058,b)]. 16.19/16.47 1423 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(986,a,957,b)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f337(c5,A)). [resolve(1423,g,1044,a)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -latt_str(B). [resolve(1423,g,1058,b)]. 16.19/16.47 1424 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(987,a,957,b)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1424,g,1044,a)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1424,g,1058,b)]. 16.19/16.47 1425 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(988,a,957,b)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1425,j,1044,a)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1425,j,1058,b)]. 16.19/16.47 1426 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(989,a,957,b)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f334(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f337(c5,A)). [resolve(1426,g,1044,a)]. 16.19/16.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f334(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -latt_str(B). [resolve(1426,g,1058,b)]. 16.19/16.47 1427 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(990,a,957,b)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | function(f337(c5,A)). [resolve(1427,g,1044,a)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | function(f337(B,A)) | -latt_str(B). [resolve(1427,g,1058,b)]. 16.26/16.53 1428 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(991,a,957,b)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1428,g,1044,a)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1428,g,1058,b)]. 16.26/16.53 1429 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(992,a,957,b)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f337(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1429,j,1044,a)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1429,j,1058,b)]. 16.26/16.53 1430 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(993,a,957,b)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | element(f336(c5,A,C),powerset(the_carrier(c5))) | relation(f337(c5,A)). [resolve(1430,g,1044,a)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | element(f336(B,A,D),powerset(the_carrier(B))) | relation(f337(B,A)) | -latt_str(B). [resolve(1430,g,1058,b)]. 16.26/16.53 1431 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(994,a,957,b)]. 16.26/16.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | f336(c5,A,C) = f335(c5,A) | function(f337(c5,A)). [resolve(1431,g,1044,a)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | function(f337(B,A)) | -latt_str(B). [resolve(1431,g,1058,b)]. 16.33/16.58 1432 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(995,a,957,b)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | f336(c5,A,C) = f335(c5,A) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1432,g,1044,a)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1432,g,1058,b)]. 16.33/16.58 1433 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(996,a,957,b)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | f336(c5,A,C) = f335(c5,A) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f337(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1433,j,1044,a)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1433,j,1058,b)]. 16.33/16.58 1434 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(997,a,957,b)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | f336(c5,A,C) = f335(c5,A) | relation(f337(c5,A)). [resolve(1434,g,1044,a)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | f336(B,A,D) = f335(B,A) | relation(f337(B,A)) | -latt_str(B). [resolve(1434,g,1058,b)]. 16.33/16.58 1435 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(998,a,957,b)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | function(f337(c5,A)). [resolve(1435,g,1044,a)]. 16.33/16.58 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | function(f337(B,A)) | -latt_str(B). [resolve(1435,g,1058,b)]. 16.33/16.58 1436 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(999,a,957,b)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1436,g,1044,a)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1436,g,1058,b)]. 16.33/16.63 1437 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -meet_semilatt_str(B). [resolve(1000,a,957,b)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f337(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1437,j,1044,a)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f337(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1437,j,1058,b)]. 16.33/16.63 1438 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1001,a,957,b)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,C)) != C | relation(f337(c5,A)). [resolve(1438,g,1044,a)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | subset_complement(the_carrier(B),f336(B,A,D)) != D | relation(f337(B,A)) | -latt_str(B). [resolve(1438,g,1058,b)]. 16.33/16.63 1439 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1002,a,957,b)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f337(c5,A)). [resolve(1439,g,1044,a)]. 16.33/16.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -latt_str(B). [resolve(1439,g,1058,b)]. 16.33/16.63 1440 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1003,a,957,b)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1440,g,1044,a)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1440,g,1058,b)]. 16.42/16.68 1441 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1004,a,957,b)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1441,j,1044,a)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(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(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1441,j,1058,b)]. 16.42/16.68 1442 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1005,a,957,b)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f332(c5,A) | subset_complement(the_carrier(c5),B) = f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f337(c5,A)). [resolve(1442,g,1044,a)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f332(B,A) | subset_complement(the_carrier(B),C) = f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -latt_str(B). [resolve(1442,g,1058,b)]. 16.42/16.68 1443 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1006,a,957,b)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | element(f336(c5,A,B),powerset(the_carrier(c5))) | function(f337(c5,A)). [resolve(1443,e,1044,a)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | function(f337(B,A)) | -latt_str(B). [resolve(1443,e,1058,b)]. 16.42/16.68 1444 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1007,a,957,b)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | element(f336(c5,A,B),powerset(the_carrier(c5))) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1444,e,1044,a)]. 16.42/16.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1444,e,1058,b)]. 16.49/16.73 1445 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1008,a,957,b)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | element(f336(c5,A,B),powerset(the_carrier(c5))) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1445,h,1044,a)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1445,h,1058,b)]. 16.49/16.73 1446 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1009,a,957,b)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | element(f336(c5,A,B),powerset(the_carrier(c5))) | relation(f337(c5,A)). [resolve(1446,e,1044,a)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | element(f336(B,A,C),powerset(the_carrier(B))) | relation(f337(B,A)) | -latt_str(B). [resolve(1446,e,1058,b)]. 16.49/16.73 1447 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1010,a,957,b)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | f336(c5,A,B) = f335(c5,A) | function(f337(c5,A)). [resolve(1447,e,1044,a)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | function(f337(B,A)) | -latt_str(B). [resolve(1447,e,1058,b)]. 16.49/16.73 1448 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1011,a,957,b)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | f336(c5,A,B) = f335(c5,A) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1448,e,1044,a)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1448,e,1058,b)]. 16.49/16.73 1449 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1012,a,957,b)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | f336(c5,A,B) = f335(c5,A) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1449,h,1044,a)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1449,h,1058,b)]. 16.49/16.73 1450 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1013,a,957,b)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | f336(c5,A,B) = f335(c5,A) | relation(f337(c5,A)). [resolve(1450,e,1044,a)]. 16.49/16.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | f336(B,A,C) = f335(B,A) | relation(f337(B,A)) | -latt_str(B). [resolve(1450,e,1058,b)]. 16.49/16.79 1451 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1014,a,957,b)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | function(f337(c5,A)). [resolve(1451,e,1044,a)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | function(f337(B,A)) | -latt_str(B). [resolve(1451,e,1058,b)]. 16.49/16.79 1452 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1015,a,957,b)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1452,e,1044,a)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1452,e,1058,b)]. 16.49/16.79 1453 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -meet_semilatt_str(B). [resolve(1016,a,957,b)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f337(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1453,h,1044,a)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f337(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1453,h,1058,b)]. 16.49/16.79 1454 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1017,a,957,b)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | subset_complement(the_carrier(c5),f336(c5,A,B)) != B | relation(f337(c5,A)). [resolve(1454,e,1044,a)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | subset_complement(the_carrier(B),f336(B,A,C)) != C | relation(f337(B,A)) | -latt_str(B). [resolve(1454,e,1058,b)]. 16.49/16.79 1455 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -meet_semilatt_str(B). [resolve(1018,a,957,b)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f337(c5,A)). [resolve(1455,e,1044,a)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | function(f337(B,A)) | -latt_str(B). [resolve(1455,e,1058,b)]. 16.49/16.79 1456 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -meet_semilatt_str(B). [resolve(1019,a,957,b)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation_dom(f337(c5,A)) = complements_of_subsets(the_carrier(c5),A). [resolve(1456,e,1044,a)]. 16.49/16.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation_dom(f337(B,A)) = complements_of_subsets(the_carrier(B),A) | -latt_str(B). [resolve(1456,e,1058,b)]. 16.56/16.84 1457 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -meet_semilatt_str(B). [resolve(1020,a,957,b)]. 16.56/16.84 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | -element(C,powerset(the_carrier(c5))) | C != B | apply(f337(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1457,h,1044,a)]. 16.56/16.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(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(f337(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1457,h,1058,b)]. 16.56/16.84 1458 -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -meet_semilatt_str(B). [resolve(1021,a,957,b)]. 16.56/16.84 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f334(c5,A) != f333(c5,A) | in(f335(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f337(c5,A)). [resolve(1458,e,1044,a)]. 16.56/16.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f334(B,A) != f333(B,A) | in(f335(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f337(B,A)) | -latt_str(B). [resolve(1458,e,1058,b)]. 16.56/16.84 1459 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f343(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -meet_semilatt_str(B). [resolve(1022,a,957,b)]. 16.56/16.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(B,C) != D | element(f343(c5,A,E,D,B,C),powerset(the_carrier(c5))) | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c5,A,E)). [resolve(1459,g,1044,a)]. 16.56/16.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f343(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -latt_str(B). [resolve(1459,g,1058,b)]. 16.56/16.85 1460 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f343(B,A,F,E,C,D) = C | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -meet_semilatt_str(B). [resolve(1023,a,957,b)]. 16.56/16.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(B,C) != D | f343(c5,A,E,D,B,C) = B | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c5,A,E)). [resolve(1460,g,1044,a)]. 16.56/16.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f343(B,A,F,E,C,D) = C | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -latt_str(B). [resolve(1460,g,1058,b)]. 16.56/16.85 1461 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f343(B,A,F,E,C,D)) != D | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -meet_semilatt_str(B). [resolve(1024,a,957,b)]. 16.56/16.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c5),f343(c5,A,E,D,B,C)) != C | -in(B,A) | -in(D,cartesian_product2(A,E)) | in(D,f342(c5,A,E)). [resolve(1461,g,1044,a)]. 16.56/16.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f343(B,A,F,E,C,D)) != D | -in(C,A) | -in(E,cartesian_product2(A,F)) | in(E,f342(B,A,F)) | -latt_str(B). [resolve(1461,g,1058,b)]. 16.56/16.85 1462 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f344(B,A,C,D),f345(B,A,C,D)) = D | -in(D,f342(B,A,C)) | -meet_semilatt_str(B). [resolve(1025,a,957,b)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f344(c5,A,B,C),f345(c5,A,B,C)) = C | -in(C,f342(c5,A,B)). [resolve(1462,d,1044,a)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f344(B,A,C,D),f345(B,A,C,D)) = D | -in(D,f342(B,A,C)) | -latt_str(B). [resolve(1462,d,1058,b)]. 16.63/16.90 1463 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f344(B,A,D,E) | subset_complement(the_carrier(B),C) = f345(B,A,D,E) | -in(E,f342(B,A,D)) | -meet_semilatt_str(B). [resolve(1026,a,957,b)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f344(c5,A,C,D) | subset_complement(the_carrier(c5),B) = f345(c5,A,C,D) | -in(D,f342(c5,A,C)). [resolve(1463,f,1044,a)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f344(B,A,D,E) | subset_complement(the_carrier(B),C) = f345(B,A,D,E) | -in(E,f342(B,A,D)) | -latt_str(B). [resolve(1463,f,1058,b)]. 16.63/16.90 1464 -element(A,powerset(powerset(the_carrier(B)))) | in(f344(B,A,C,D),A) | -in(D,f342(B,A,C)) | -meet_semilatt_str(B). [resolve(1027,a,957,b)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f344(c5,A,B,C),A) | -in(C,f342(c5,A,B)). [resolve(1464,d,1044,a)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f344(B,A,C,D),A) | -in(D,f342(B,A,C)) | -latt_str(B). [resolve(1464,d,1058,b)]. 16.63/16.90 1465 -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(A,D)) | -in(C,f342(B,A,D)) | -meet_semilatt_str(B). [resolve(1028,a,957,b)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,cartesian_product2(A,C)) | -in(B,f342(c5,A,C)). [resolve(1465,d,1044,a)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(A,D)) | -in(C,f342(B,A,D)) | -latt_str(B). [resolve(1465,d,1058,b)]. 16.63/16.90 1466 -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 | -meet_semilatt_str(B). [resolve(1029,a,957,b)]. 16.63/16.90 Derived: -element(A,powerset(the_carrier(c5))) | subset_difference(the_carrier(c5),cast_as_carrier_subset(c5),subset_difference(the_carrier(c5),cast_as_carrier_subset(c5),A)) = A. [resolve(1466,c,1044,a)]. 16.63/16.90 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(1466,c,1058,b)]. 16.63/16.90 1467 empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -meet_semilatt_str(A). [resolve(1030,a,957,b)]. 16.63/16.90 Derived: empty_carrier(c5) | -element(A,powerset(powerset(the_carrier(c5)))) | -is_a_cover_of_carrier(c5,A) | empty_set != A. [resolve(1467,e,1044,a)]. 16.63/16.90 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(1467,e,1058,b)]. 16.63/16.90 1468 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C | -meet_semilatt_str(B). [resolve(1031,b,957,b)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f365(c5,A,C)) | ordered_pair(f366(c5,A,C,B),f367(c5,A,C,B)) = B. [resolve(1468,d,1044,a)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | ordered_pair(f366(B,A,D,C),f367(B,A,D,C)) = C | -latt_str(B). [resolve(1468,d,1058,b)]. 16.63/16.90 1469 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) | -meet_semilatt_str(B). [resolve(1032,b,957,b)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f365(c5,A,C)) | -element(D,powerset(the_carrier(c5))) | D != f366(c5,A,C,B) | subset_complement(the_carrier(c5),D) = f367(c5,A,C,B). [resolve(1469,f,1044,a)]. 16.63/16.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f366(B,A,D,C) | subset_complement(the_carrier(B),E) = f367(B,A,D,C) | -latt_str(B). [resolve(1469,f,1058,b)]. 16.63/16.95 1470 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1033,b,957,b)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f365(c5,A,C)) | in(f366(c5,A,C,B),complements_of_subsets(the_carrier(c5),A)). [resolve(1470,d,1044,a)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(f366(B,A,D,C),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1470,d,1058,b)]. 16.63/16.95 1471 -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1034,b,957,b)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f365(c5,A,C)) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1471,d,1044,a)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f365(B,A,D)) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1471,d,1058,b)]. 16.63/16.95 1472 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1035,b,957,b)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,f365(c5,A,C)) | ordered_pair(D,E) != B | element(f368(c5,A,C,B,D,E),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1472,g,1044,a)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | element(f368(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1472,g,1058,b)]. 16.63/16.95 1473 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1036,b,957,b)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,f365(c5,A,C)) | ordered_pair(D,E) != B | f368(c5,A,C,B,D,E) = D | -in(D,complements_of_subsets(the_carrier(c5),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1473,g,1044,a)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | f368(B,A,D,C,E,F) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1473,g,1058,b)]. 16.63/16.95 1474 -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1037,b,957,b)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,f365(c5,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c5),f368(c5,A,C,B,D,E)) != E | -in(D,complements_of_subsets(the_carrier(c5),A)) | -in(B,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1474,g,1044,a)]. 16.63/16.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f365(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f368(B,A,D,C,E,F)) != F | -in(E,complements_of_subsets(the_carrier(B),A)) | -in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1474,g,1058,b)]. 16.63/16.95 1475 v1_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1038,a,957,b)]. 18.38/18.66 Derived: v1_membered(empty_carrier_subset(c5)). [resolve(1475,b,1044,a)]. 18.38/18.66 Derived: v1_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1475,b,1058,b)]. 18.38/18.66 1476 v2_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1039,a,957,b)]. 18.38/18.66 Derived: v2_membered(empty_carrier_subset(c5)). [resolve(1476,b,1044,a)]. 18.38/18.66 Derived: v2_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1476,b,1058,b)]. 18.38/18.66 1477 v3_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1040,a,957,b)]. 18.38/18.66 Derived: v3_membered(empty_carrier_subset(c5)). [resolve(1477,b,1044,a)]. 18.38/18.66 Derived: v3_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1477,b,1058,b)]. 18.38/18.66 1478 v5_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1041,a,957,b)]. 18.38/18.66 Derived: v5_membered(empty_carrier_subset(c5)). [resolve(1478,b,1044,a)]. 18.38/18.66 Derived: v5_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1478,b,1058,b)]. 18.38/18.66 1479 v4_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1042,a,957,b)]. 18.38/18.67 Derived: v4_membered(empty_carrier_subset(c5)). [resolve(1479,b,1044,a)]. 18.38/18.67 Derived: v4_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1479,b,1058,b)]. 18.38/18.67 1480 empty(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(1043,a,957,b)]. 18.38/18.67 Derived: empty(empty_carrier_subset(c5)). [resolve(1480,b,1044,a)]. 18.38/18.67 Derived: empty(empty_carrier_subset(A)) | -latt_str(A). [resolve(1480,b,1058,b)]. 18.38/18.67 1481 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | -compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.67 1482 -top_str(A) | element(f14(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.67 1483 -top_str(A) | open_subsets(f14(A),A) | compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.67 1484 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | -finite(B) | -subset(B,f14(A)) | compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.67 1485 -top_str(A) | is_a_cover_of_carrier(A,f14(A)) | compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.67 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | -top_str(A) | element(f14(A),powerset(powerset(the_carrier(A)))). [resolve(1481,f,1482,c)]. 18.38/18.67 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | -top_str(A) | open_subsets(f14(A),A). [resolve(1481,f,1483,c)]. 18.38/18.67 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | -top_str(A) | -element(C,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,C) | -finite(C) | -subset(C,f14(A)). [resolve(1481,f,1484,f)]. 18.38/18.67 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | -top_str(A) | is_a_cover_of_carrier(A,f14(A)). [resolve(1481,f,1485,c)]. 18.38/18.67 1486 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B) | -compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.67 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | element(f14(A),powerset(powerset(the_carrier(A)))). [resolve(1486,f,1482,c)]. 18.38/18.67 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | open_subsets(f14(A),A). [resolve(1486,f,1483,c)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | -element(C,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,C) | -finite(C) | -subset(C,f14(A)). [resolve(1486,f,1484,f)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | is_a_cover_of_carrier(A,f14(A)). [resolve(1486,f,1485,c)]. 18.38/18.76 1487 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B) | -compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | element(f14(A),powerset(powerset(the_carrier(A)))). [resolve(1487,f,1482,c)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | open_subsets(f14(A),A). [resolve(1487,f,1483,c)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | -element(C,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,C) | -finite(C) | -subset(C,f14(A)). [resolve(1487,f,1484,f)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B) | -top_str(A) | is_a_cover_of_carrier(A,f14(A)). [resolve(1487,f,1485,c)]. 18.38/18.76 1488 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B) | -compact_top_space(A) # label(d3_compts_1) # label(axiom). [clausify(7)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B) | -top_str(A) | element(f14(A),powerset(powerset(the_carrier(A)))). [resolve(1488,f,1482,c)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B) | -top_str(A) | open_subsets(f14(A),A). [resolve(1488,f,1483,c)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B) | -top_str(A) | -element(C,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,C) | -finite(C) | -subset(C,f14(A)). [resolve(1488,f,1484,f)]. 18.38/18.76 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B) | -top_str(A) | is_a_cover_of_carrier(A,f14(A)). [resolve(1488,f,1485,c)]. 18.38/18.76 1489 empty_carrier(A) | -top_str(A) | -topological_space(A) | element(f140(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(214)]. 18.38/18.76 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | element(f140(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B). [resolve(1489,e,1481,f)]. 18.38/18.76 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | element(f140(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1489,e,1486,f)]. 18.38/18.76 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | element(f140(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1489,e,1487,f)]. 18.38/18.76 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | element(f140(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B). [resolve(1489,e,1488,f)]. 18.54/18.79 1490 empty_carrier(A) | -top_str(A) | -topological_space(A) | centered(f140(A)) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(214)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | centered(f140(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B). [resolve(1490,e,1481,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | centered(f140(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1490,e,1486,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | centered(f140(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1490,e,1487,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | centered(f140(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B). [resolve(1490,e,1488,f)]. 18.54/18.79 1491 empty_carrier(A) | -top_str(A) | -topological_space(A) | meet_of_subsets(the_carrier(A),f140(A)) = empty_set | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(214)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | meet_of_subsets(the_carrier(A),f140(A)) = empty_set | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B). [resolve(1491,e,1481,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | meet_of_subsets(the_carrier(A),f140(A)) = empty_set | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1491,e,1486,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | meet_of_subsets(the_carrier(A),f140(A)) = empty_set | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1491,e,1487,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | meet_of_subsets(the_carrier(A),f140(A)) = empty_set | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B). [resolve(1491,e,1488,f)]. 18.54/18.79 1492 empty_carrier(A) | -top_str(A) | -topological_space(A) | closed_subsets(f140(A),A) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(214)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | closed_subsets(f140(A),A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | element(f15(A,B),powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B). [resolve(1492,e,1481,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | closed_subsets(f140(A),A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | is_a_cover_of_carrier(A,f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1492,e,1486,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | closed_subsets(f140(A),A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | finite(f15(A,B)) | -is_a_cover_of_carrier(A,B). [resolve(1492,e,1487,f)]. 18.54/18.79 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | closed_subsets(f140(A),A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -open_subsets(B,A) | subset(f15(A,B),B) | -is_a_cover_of_carrier(A,B). [resolve(1492,e,1488,f)]. 18.54/18.79 1493 empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | -compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(214)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | -top_str(A) | element(f14(A),powerset(powerset(the_carrier(A)))). [resolve(1493,h,1482,c)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | -top_str(A) | open_subsets(f14(A),A). [resolve(1493,h,1483,c)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | -top_str(A) | -element(C,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,C) | -finite(C) | -subset(C,f14(A)). [resolve(1493,h,1484,f)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | -top_str(A) | is_a_cover_of_carrier(A,f14(A)). [resolve(1493,h,1485,c)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | empty_carrier(A) | -top_str(A) | -topological_space(A) | element(f140(A),powerset(powerset(the_carrier(A)))). [resolve(1493,h,1489,e)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | empty_carrier(A) | -top_str(A) | -topological_space(A) | centered(f140(A)). [resolve(1493,h,1490,e)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | empty_carrier(A) | -top_str(A) | -topological_space(A) | meet_of_subsets(the_carrier(A),f140(A)) = empty_set. [resolve(1493,h,1491,e)]. 24.38/24.73 Derived: empty_carrier(A) | -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -centered(B) | meet_of_subsets(the_carrier(A),B) != empty_set | -closed_subsets(B,A) | empty_carrier(A) | -top_str(A) | -topological_space(A) | closed_subsets(f140(A),A). [resolve(1493,h,1492,e)]. 24.38/24.73 1494 -join_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_commutative(A) | empty_carrier(A) | element(join_commut(A,C,B),the_carrier(A)) # label(dt_k3_lattices) # label(axiom). [clausify(94)]. 24.38/24.73 1495 -latt_str(A) | empty_carrier(A) | -lattice(A) | join_commutative(A) # label(cc1_lattices) # label(axiom). [clausify(8)]. 24.38/24.73 Derived: -join_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | element(join_commut(A,C,B),the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1494,d,1495,d)]. 24.38/24.73 1496 -join_commutative(A) | -join_semilatt_str(A) | empty_carrier(A) | function(the_L_join(A)) # label(fc2_lattice2) # label(axiom). [clausify(198)]. 24.38/24.73 1497 -join_commutative(A) | -join_semilatt_str(A) | empty_carrier(A) | v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc2_lattice2) # label(axiom). [clausify(198)]. 24.38/24.73 Derived: -join_semilatt_str(A) | empty_carrier(A) | v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1497,a,1495,d)]. 24.38/24.73 1498 -join_commutative(A) | -join_semilatt_str(A) | empty_carrier(A) | v1_binop_1(the_L_join(A),the_carrier(A)) # label(fc2_lattice2) # label(axiom). [clausify(198)]. 24.38/24.73 Derived: -join_semilatt_str(A) | empty_carrier(A) | v1_binop_1(the_L_join(A),the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1498,a,1495,d)]. 24.61/24.93 1499 -join_commutative(A) | -join_semilatt_str(A) | empty_carrier(A) | quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc2_lattice2) # label(axiom). [clausify(198)]. 24.61/24.93 1500 -join_commutative(A) | -join_semilatt_str(A) | empty_carrier(A) | relation(the_L_join(A)) # label(fc2_lattice2) # label(axiom). [clausify(198)]. 24.61/24.93 Derived: -join_semilatt_str(A) | empty_carrier(A) | relation(the_L_join(A)) | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1500,a,1495,d)]. 24.61/24.93 1501 -join_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_commutative(A) | empty_carrier(A) | join_commut(A,B,C) = join(A,B,C) # label(redefinition_k3_lattices) # label(axiom). [clausify(203)]. 24.61/24.93 Derived: -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) | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1501,d,1495,d)]. 24.61/24.93 1502 join_commutative(c12) # label(rc9_lattices) # label(axiom). [clausify(209)]. 24.61/24.93 Derived: -join_semilatt_str(c12) | -element(A,the_carrier(c12)) | -element(B,the_carrier(c12)) | empty_carrier(c12) | element(join_commut(c12,B,A),the_carrier(c12)). [resolve(1502,a,1494,d)]. 24.61/24.93 Derived: -join_semilatt_str(c12) | empty_carrier(c12) | v1_partfun1(the_L_join(c12),cartesian_product2(the_carrier(c12),the_carrier(c12)),the_carrier(c12)). [resolve(1502,a,1497,a)]. 24.61/24.93 Derived: -join_semilatt_str(c12) | empty_carrier(c12) | v1_binop_1(the_L_join(c12),the_carrier(c12)). [resolve(1502,a,1498,a)]. 24.61/24.93 Derived: -join_semilatt_str(c12) | empty_carrier(c12) | relation(the_L_join(c12)). [resolve(1502,a,1500,a)]. 24.61/24.93 Derived: -join_semilatt_str(c12) | -element(A,the_carrier(c12)) | -element(B,the_carrier(c12)) | empty_carrier(c12) | join_commut(c12,A,B) = join(c12,A,B). [resolve(1502,a,1501,d)]. 24.61/24.93 1503 empty_carrier(A) | -join_commutative(A) | -join_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -below(A,C,B) | -below(A,B,C) | C = B # label(t26_lattices) # label(lemma). [clausify(360)]. 24.61/24.93 Derived: empty_carrier(A) | -join_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -below(A,C,B) | -below(A,B,C) | C = B | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1503,b,1495,d)]. 24.61/24.93 Derived: empty_carrier(c12) | -join_semilatt_str(c12) | -element(A,the_carrier(c12)) | -element(B,the_carrier(c12)) | -below(c12,B,A) | -below(c12,A,B) | B = A. [resolve(1503,b,1502,a)]. 24.61/24.93 1504 -latt_str(A) | -join_associative(A) | -meet_absorbing(A) | -join_absorbing(A) | -meet_associative(A) | -meet_commutative(A) | -join_commutative(A) | empty_carrier(A) | lattice(A) # label(cc2_lattices) # label(axiom). [clausify(386)]. 24.61/24.93 Derived: -latt_str(c12) | -join_associative(c12) | -meet_absorbing(c12) | -join_absorbing(c12) | -meet_associative(c12) | -meet_commutative(c12) | empty_carrier(c12) | lattice(c12). [resolve(1504,g,1502,a)]. 24.61/24.93 1505 empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,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). [clausify(454)]. 24.61/24.93 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_semilatt_str(A) | join_commut(A,C,B) = join_commut(A,B,C) | -latt_str(A) | empty_carrier(A) | -lattice(A). [resolve(1505,e,1495,d)]. 24.61/24.93 Derived: empty_carrier(c12) | -element(A,the_carrier(c12)) | -element(B,the_carrier(c12)) | -join_semilatt_str(c12) | join_commut(c12,B,A) = join_commut(c12,A,B). [resolve(1505,e,1502,a)]. 24.61/24.93 1506 join_commutative(boole_lattice(A)) # label(fc2_lattice3) # label(axiom). [clausify(468)]. 24.61/24.93 Derived: -join_semilatt_str(boole_lattice(A)) | -element(B,the_carrier(boole_lattice(A))) | -element(C,the_carrier(boole_lattice(A))) | empty_carrier(boole_lattice(A)) | element(join_commut(boole_lattice(A),C,B),the_carrier(boole_lattice(A))). [resolve(1506,a,1494,d)]. 24.61/24.93 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | function(the_L_join(boole_lattice(A))). [resolve(1506,a,1496,a)]. 30.41/30.73 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | v1_partfun1(the_L_join(boole_lattice(A)),cartesian_product2(the_carrier(boole_lattice(A)),the_carrier(boole_lattice(A))),the_carrier(boole_lattice(A))). [resolve(1506,a,1497,a)]. 30.41/30.73 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | v1_binop_1(the_L_join(boole_lattice(A)),the_carrier(boole_lattice(A))). [resolve(1506,a,1498,a)]. 30.41/30.73 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | quasi_total(the_L_join(boole_lattice(A)),cartesian_product2(the_carrier(boole_lattice(A)),the_carrier(boole_lattice(A))),the_carrier(boole_lattice(A))). [resolve(1506,a,1499,a)]. 30.41/30.73 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | relation(the_L_join(boole_lattice(A))). [resolve(1506,a,1500,a)]. 30.41/30.73 Derived: -join_semilatt_str(boole_lattice(A)) | -element(B,the_carrier(boole_lattice(A))) | -element(C,the_carrier(boole_lattice(A))) | empty_carrier(boole_lattice(A)) | join_commut(boole_lattice(A),B,C) = join(boole_lattice(A),B,C). [resolve(1506,a,1501,d)]. 30.41/30.73 Derived: empty_carrier(boole_lattice(A)) | -join_semilatt_str(boole_lattice(A)) | -element(B,the_carrier(boole_lattice(A))) | -element(C,the_carrier(boole_lattice(A))) | -below(boole_lattice(A),C,B) | -below(boole_lattice(A),B,C) | C = B. [resolve(1506,a,1503,b)]. 30.41/30.73 Derived: empty_carrier(boole_lattice(A)) | -element(B,the_carrier(boole_lattice(A))) | -element(C,the_carrier(boole_lattice(A))) | -join_semilatt_str(boole_lattice(A)) | join_commut(boole_lattice(A),C,B) = join_commut(boole_lattice(A),B,C). [resolve(1506,a,1505,e)]. 30.41/30.73 1507 -in(A,B) | subset(A,B) | -epsilon_transitive(B) # label(d2_ordinal1) # label(axiom). [clausify(216)]. 30.41/30.73 1508 epsilon_transitive(c2) # label(rc1_arytm_3) # label(axiom). [clausify(18)]. 30.41/30.73 1509 epsilon_transitive(empty_set) # label(fc2_ordinal1_AndRHS_AndRHS_AndLHS) # label(axiom). [assumption]. 30.41/30.73 1510 -ordinal(A) | epsilon_transitive(union(A)) # label(fc4_ordinal1) # label(axiom). [clausify(139)]. 30.41/30.73 1511 epsilon_transitive(c9) # label(rc1_ordinal1) # label(axiom). [clausify(148)]. 30.41/30.73 1512 in(f144(A),A) | epsilon_transitive(A) # label(d2_ordinal1) # label(axiom). [clausify(216)]. 30.41/30.73 1513 -subset(f144(A),A) | epsilon_transitive(A) # label(d2_ordinal1) # label(axiom). [clausify(216)]. 30.41/30.73 Derived: -in(A,c2) | subset(A,c2). [resolve(1507,c,1508,a)]. 30.41/30.73 Derived: -in(A,empty_set) | subset(A,empty_set). [resolve(1507,c,1509,a)]. 30.41/30.73 Derived: -in(A,union(B)) | subset(A,union(B)) | -ordinal(B). [resolve(1507,c,1510,b)]. 30.41/30.73 Derived: -in(A,c9) | subset(A,c9). [resolve(1507,c,1511,a)]. 30.41/30.73 Derived: -in(A,B) | subset(A,B) | in(f144(B),B). [resolve(1507,c,1512,b)]. 30.41/30.73 Derived: -in(A,B) | subset(A,B) | -subset(f144(B),B). [resolve(1507,c,1513,b)]. 30.41/30.73 1514 -epsilon_connected(A) | -epsilon_transitive(A) | ordinal(A) # label(d4_ordinal1) # label(axiom). [clausify(243)]. 30.41/30.73 Derived: -epsilon_connected(c2) | ordinal(c2). [resolve(1514,b,1508,a)]. 30.41/30.73 Derived: -epsilon_connected(empty_set) | ordinal(empty_set). [resolve(1514,b,1509,a)]. 30.41/30.73 Derived: -epsilon_connected(union(A)) | ordinal(union(A)) | -ordinal(A). [resolve(1514,b,1510,b)]. 30.41/30.73 Derived: -epsilon_connected(c9) | ordinal(c9). [resolve(1514,b,1511,a)]. 30.41/30.73 Derived: -epsilon_connected(A) | ordinal(A) | in(f144(A),A). [resolve(1514,b,1512,b)]. 30.41/30.73 Derived: -epsilon_connected(A) | ordinal(A) | -subset(f144(A),A). [resolve(1514,b,1513,b)]. 30.41/30.73 1515 epsilon_transitive(A) | -ordinal(A) # label(d4_ordinal1) # label(axiom). [clausify(243)]. 30.41/30.73 Derived: -ordinal(A) | -in(B,A) | subset(B,A). [resolve(1515,a,1507,c)]. 30.41/30.73 1516 -ordinal(A) | -element(B,A) | epsilon_transitive(B) # label(cc1_arytm_3) # label(axiom). [clausify(264)]. 30.41/30.73 Derived: -ordinal(A) | -element(B,A) | -in(C,B) | subset(C,B). [resolve(1516,c,1507,c)]. 30.41/30.73 Derived: -ordinal(A) | -element(B,A) | -epsilon_connected(B) | ordinal(B). [resolve(1516,c,1514,b)]. 30.41/30.73 1517 -ordinal(A) | -natural(A) | epsilon_transitive(succ(A)) # label(fc2_arytm_3) # label(axiom). [clausify(267)]. 30.41/30.73 Derived: -ordinal(A) | -natural(A) | -in(B,succ(A)) | subset(B,succ(A)). [resolve(1517,c,1507,c)]. 36.20/36.55 1518 -ordinal(A) | epsilon_transitive(A) # label(cc1_ordinal1) # label(axiom). [clausify(271)]. 36.20/36.55 1519 epsilon_transitive(c15) # label(rc3_ordinal1) # label(axiom). [clausify(279)]. 36.20/36.55 Derived: -in(A,c15) | subset(A,c15). [resolve(1519,a,1507,c)]. 36.20/36.55 Derived: -epsilon_connected(c15) | ordinal(c15). [resolve(1519,a,1514,b)]. 36.20/36.55 1520 epsilon_transitive(c16) # label(rc2_ordinal1) # label(axiom). [clausify(286)]. 36.20/36.55 Derived: -in(A,c16) | subset(A,c16). [resolve(1520,a,1507,c)]. 36.20/36.55 Derived: -epsilon_connected(c16) | ordinal(c16). [resolve(1520,a,1514,b)]. 36.20/36.55 1521 epsilon_transitive(f196(A)) # label(rc2_finset_1) # label(axiom). [clausify(301)]. 36.20/36.55 Derived: -in(A,f196(B)) | subset(A,f196(B)). [resolve(1521,a,1507,c)]. 36.20/36.55 1522 -ordinal(A) | -empty(A) | epsilon_transitive(A) # label(cc2_arytm_3) # label(axiom). [clausify(317)]. 36.20/36.55 1523 -ordinal(A) | epsilon_transitive(succ(A)) # label(fc3_ordinal1) # label(axiom). [clausify(351)]. 36.20/36.55 Derived: -ordinal(A) | -in(B,succ(A)) | subset(B,succ(A)). [resolve(1523,b,1507,c)]. 36.20/36.55 1524 epsilon_transitive(omega) # label(fc1_ordinal2_AndRHS_AndRHS_AndRHS) # label(axiom). [assumption]. 36.20/36.55 Derived: -in(A,omega) | subset(A,omega). [resolve(1524,a,1507,c)]. 36.20/36.55 Derived: -epsilon_connected(omega) | ordinal(omega). [resolve(1524,a,1514,b)]. 36.20/36.55 1525 -epsilon_transitive(A) | -epsilon_connected(A) | ordinal(A) # label(cc2_ordinal1) # label(axiom). [clausify(431)]. 36.20/36.55 Derived: -epsilon_connected(succ(A)) | ordinal(succ(A)) | -ordinal(A) | -natural(A). [resolve(1525,a,1517,c)]. 36.20/36.55 Derived: -epsilon_connected(f196(A)) | ordinal(f196(A)). [resolve(1525,a,1521,a)]. 36.20/36.55 Derived: -epsilon_connected(succ(A)) | ordinal(succ(A)) | -ordinal(A). [resolve(1525,a,1523,b)]. 36.20/36.55 1526 -empty(A) | epsilon_transitive(A) # label(cc3_ordinal1) # label(axiom). [clausify(457)]. 36.20/36.55 1527 -element(A,omega) | epsilon_transitive(A) # label(cc3_arytm_3) # label(axiom). [clausify(458)]. 36.20/36.55 Derived: -element(A,omega) | -in(B,A) | subset(B,A). [resolve(1527,b,1507,c)]. 36.20/36.55 1528 -epsilon_transitive(A) | -ordinal(B) | -proper_subset(A,B) | in(A,B) # label(t21_ordinal1) # label(lemma). [clausify(490)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(c2,A) | in(c2,A). [resolve(1528,a,1508,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(empty_set,A) | in(empty_set,A). [resolve(1528,a,1509,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(union(B),A) | in(union(B),A) | -ordinal(B). [resolve(1528,a,1510,b)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(c9,A) | in(c9,A). [resolve(1528,a,1511,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | in(f144(B),B). [resolve(1528,a,1512,b)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -subset(f144(B),B). [resolve(1528,a,1513,b)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -ordinal(B). [resolve(1528,a,1515,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -ordinal(C) | -element(B,C). [resolve(1528,a,1516,c)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(succ(B),A) | in(succ(B),A) | -ordinal(B) | -natural(B). [resolve(1528,a,1517,c)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(c15,A) | in(c15,A). [resolve(1528,a,1519,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(c16,A) | in(c16,A). [resolve(1528,a,1520,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(f196(B),A) | in(f196(B),A). [resolve(1528,a,1521,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(succ(B),A) | in(succ(B),A) | -ordinal(B). [resolve(1528,a,1523,b)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(omega,A) | in(omega,A). [resolve(1528,a,1524,a)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -empty(B). [resolve(1528,a,1526,b)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -element(B,omega). [resolve(1528,a,1527,b)]. 36.20/36.55 1529 epsilon_transitive(c36) # label(rc1_ordinal2) # label(axiom). [clausify(615)]. 36.20/36.55 Derived: -in(A,c36) | subset(A,c36). [resolve(1529,a,1507,c)]. 36.20/36.55 Derived: -ordinal(A) | -proper_subset(c36,A) | in(c36,A). [resolve(1529,a,1528,a)]. 36.20/36.55 1530 empty_carrier(A) | -latt_str(A) | -lattice(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C) != D | -below_refl(A,B,C) | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)) # label(fraenkel_a_1_0_filter_1) # label(axiom). [clausify(122)]. 36.36/36.71 1531 -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A) | below_refl(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(24)]. 36.36/36.71 Derived: empty_carrier(A) | -latt_str(A) | -lattice(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,B) != C | -element(B,the_carrier(A)) | in(C,a_1_0_filter_1(A)) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(D,the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A). [resolve(1530,f,1531,h)]. 36.36/36.71 1532 empty_carrier(A) | -latt_str(A) | -lattice(A) | below_refl(A,f72(B,A),f73(B,A)) | -in(B,a_1_0_filter_1(A)) # label(fraenkel_a_1_0_filter_1) # label(axiom). [clausify(122)]. 36.36/36.71 Derived: empty_carrier(A) | -latt_str(A) | -lattice(A) | -in(B,a_1_0_filter_1(A)) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -element(f72(B,A),the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),f72(B,A),f73(B,A)) != C | -element(f73(B,A),the_carrier(A)) | in(C,a_1_0_filter_1(A)). [resolve(1532,d,1530,f)]. 36.36/36.71 1533 empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -below_refl(A,B,C) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)) # label(t32_filter_1) # label(lemma). [clausify(320)]. 36.36/36.71 Derived: empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(B,the_carrier(A)) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,B),relation_of_lattice(A)) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A). [resolve(1533,f,1531,h)]. 36.36/36.71 Derived: empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(f72(B,A),the_carrier(A)) | -element(f73(B,A),the_carrier(A)) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),f72(B,A),f73(B,A)),relation_of_lattice(A)) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -in(B,a_1_0_filter_1(A)). [resolve(1533,f,1532,d)]. 36.36/36.71 1534 empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below_refl(A,B,C) | -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)) # label(t32_filter_1) # label(lemma). [clausify(320)]. 36.36/36.71 Derived: empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C) != D | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)). [resolve(1534,f,1530,f)]. 36.36/36.71 1535 -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -below_refl(A,B,C) | below(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(357)]. 36.36/36.71 Derived: -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(B,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | below(A,B,B) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A). [resolve(1535,h,1531,h)]. 36.36/36.71 Derived: -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(f72(B,A),the_carrier(A)) | -element(f73(B,A),the_carrier(A)) | -latt_str(A) | empty_carrier(A) | below(A,f72(B,A),f73(B,A)) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -in(B,a_1_0_filter_1(A)). [resolve(1535,h,1532,d)]. 36.36/36.71 Derived: -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | below(A,B,C) | empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)). [resolve(1535,h,1534,f)]. 36.42/36.75 1536 -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | below_refl(A,B,C) | -below(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(357)]. 36.42/36.75 Derived: -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -below(A,B,C) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C) != D | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)). [resolve(1536,h,1530,f)]. 36.42/36.75 Derived: -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -below(A,B,C) | empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)). [resolve(1536,h,1533,f)]. 36.42/36.75 1537 -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -below_refl(A,B,C) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) # label(t7_lattice3) # label(lemma). [clausify(396)]. 36.42/36.75 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(B,the_carrier(A)) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,B)) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_commutative(A) | empty_carrier(A). [resolve(1537,f,1531,h)]. 36.42/36.75 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(f72(B,A),the_carrier(A)) | -element(f73(B,A),the_carrier(A)) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,f72(B,A)),cast_to_el_of_LattPOSet(A,f73(B,A))) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -in(B,a_1_0_filter_1(A)). [resolve(1537,f,1532,d)]. 36.42/36.75 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) | empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)). [resolve(1537,f,1534,f)]. 36.42/36.75 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) | -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | -below(A,B,C). [resolve(1537,f,1536,h)]. 36.42/36.75 1538 -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below_refl(A,B,C) | -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) # label(t7_lattice3) # label(lemma). [clausify(396)]. 36.42/36.75 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) | empty_carrier(A) | -latt_str(A) | -lattice(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C) != D | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)). [resolve(1538,f,1530,f)]. 36.42/36.75 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) | empty_carrier(A) | -lattice(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)). [resolve(1538,f,1533,f)]. 68.25/68.69 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)) | -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | empty_carrier(A) | below(A,B,C). [resolve(1538,f,1535,h)]. 68.25/68.69 1539 -preboolean(A) | cup_closed(A) # label(cc1_finsub_1) # label(axiom). [clausify(484)]. 68.25/68.69 1540 -cup_closed(A) | -diff_closed(A) | preboolean(A) # label(cc2_finsub_1) # label(axiom). [clausify(74)]. 68.25/68.69 1541 cup_closed(powerset(A)) # label(fc1_finsub_1) # label(axiom). [clausify(625)]. 68.25/68.69 Derived: -diff_closed(powerset(A)) | preboolean(powerset(A)). [resolve(1541,a,1540,a)]. 68.25/68.69 1542 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | transitive(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(404)]. 68.25/68.69 1543 antisymmetric_relstr(c7) # label(rc2_orders_2) # label(axiom). [clausify(77)]. 68.25/68.69 1544 -reflexive(A) | -transitive(A) | -relation_of2(A,B,B) | -v1_partfun1(A,B,B) | -antisymmetric(A) | antisymmetric_relstr(rel_str_of(B,A)) # label(fc3_orders_2) # label(axiom). [clausify(90)]. 68.25/68.69 1545 -latt_str(A) | -lattice(A) | empty_carrier(A) | antisymmetric_relstr(poset_of_lattice(A)) # label(fc4_lattice3) # label(axiom). [clausify(283)]. 68.25/68.69 1546 empty_carrier(A) | -lattice(A) | -latt_str(A) | antisymmetric_relstr(poset_of_lattice(A)) # label(dt_k3_lattice3) # label(axiom). [clausify(385)]. 68.25/68.69 Derived: -reflexive_relstr(c7) | -rel_str(c7) | -transitive_relstr(c7) | transitive(the_InternalRel(c7)). [resolve(1542,c,1543,a)]. 68.25/68.69 Derived: -reflexive_relstr(rel_str_of(A,B)) | -rel_str(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | transitive(the_InternalRel(rel_str_of(A,B))) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1542,c,1544,f)]. 68.25/68.69 Derived: -reflexive_relstr(poset_of_lattice(A)) | -rel_str(poset_of_lattice(A)) | -transitive_relstr(poset_of_lattice(A)) | transitive(the_InternalRel(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1542,c,1545,d)]. 68.25/68.69 1547 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)) # label(fc2_orders_2) # label(axiom). [clausify(404)]. 68.25/68.69 Derived: -reflexive_relstr(c7) | -rel_str(c7) | -transitive_relstr(c7) | v1_partfun1(the_InternalRel(c7),the_carrier(c7),the_carrier(c7)). [resolve(1547,c,1543,a)]. 68.25/68.69 Derived: -reflexive_relstr(rel_str_of(A,B)) | -rel_str(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | v1_partfun1(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1547,c,1544,f)]. 68.25/68.69 Derived: -reflexive_relstr(poset_of_lattice(A)) | -rel_str(poset_of_lattice(A)) | -transitive_relstr(poset_of_lattice(A)) | v1_partfun1(the_InternalRel(poset_of_lattice(A)),the_carrier(poset_of_lattice(A)),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1547,c,1545,d)]. 68.25/68.69 1548 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | antisymmetric(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(404)]. 68.25/68.69 Derived: -reflexive_relstr(c7) | -rel_str(c7) | -transitive_relstr(c7) | antisymmetric(the_InternalRel(c7)). [resolve(1548,c,1543,a)]. 68.25/68.69 Derived: -reflexive_relstr(rel_str_of(A,B)) | -rel_str(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | antisymmetric(the_InternalRel(rel_str_of(A,B))) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1548,c,1544,f)]. 69.26/69.70 Derived: -reflexive_relstr(poset_of_lattice(A)) | -rel_str(poset_of_lattice(A)) | -transitive_relstr(poset_of_lattice(A)) | antisymmetric(the_InternalRel(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1548,c,1545,d)]. 69.26/69.70 1549 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | reflexive(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(404)]. 69.26/69.70 Derived: -reflexive_relstr(c7) | -rel_str(c7) | -transitive_relstr(c7) | reflexive(the_InternalRel(c7)). [resolve(1549,c,1543,a)]. 69.26/69.70 Derived: -reflexive_relstr(rel_str_of(A,B)) | -rel_str(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | reflexive(the_InternalRel(rel_str_of(A,B))) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1549,c,1544,f)]. 69.26/69.70 Derived: -reflexive_relstr(poset_of_lattice(A)) | -rel_str(poset_of_lattice(A)) | -transitive_relstr(poset_of_lattice(A)) | reflexive(the_InternalRel(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1549,c,1545,d)]. 69.26/69.70 1550 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | relation(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(404)]. 69.26/69.70 Derived: -reflexive_relstr(c7) | -rel_str(c7) | -transitive_relstr(c7) | relation(the_InternalRel(c7)). [resolve(1550,c,1543,a)]. 69.26/69.70 Derived: -reflexive_relstr(rel_str_of(A,B)) | -rel_str(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | relation(the_InternalRel(rel_str_of(A,B))) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1550,c,1544,f)]. 69.26/69.70 Derived: -reflexive_relstr(poset_of_lattice(A)) | -rel_str(poset_of_lattice(A)) | -transitive_relstr(poset_of_lattice(A)) | relation(the_InternalRel(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1550,c,1545,d)]. 69.26/69.70 1551 -rel_str(A) | -antisymmetric_relstr(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related(A,B,C) | -related(A,C,B) | C = B # label(t25_orders_2) # label(lemma). [clausify(411)]. 69.26/69.70 Derived: -rel_str(c7) | -element(A,the_carrier(c7)) | -element(B,the_carrier(c7)) | -related(c7,A,B) | -related(c7,B,A) | B = A. [resolve(1551,b,1543,a)]. 69.26/69.70 Derived: -rel_str(rel_str_of(A,B)) | -element(C,the_carrier(rel_str_of(A,B))) | -element(D,the_carrier(rel_str_of(A,B))) | -related(rel_str_of(A,B),C,D) | -related(rel_str_of(A,B),D,C) | D = C | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1551,b,1544,f)]. 69.26/69.70 Derived: -rel_str(poset_of_lattice(A)) | -element(B,the_carrier(poset_of_lattice(A))) | -element(C,the_carrier(poset_of_lattice(A))) | -related(poset_of_lattice(A),B,C) | -related(poset_of_lattice(A),C,B) | C = B | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1551,b,1545,d)]. 69.26/69.70 1552 -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | antisymmetric_relstr(A) # label(d6_orders_2) # label(axiom). [clausify(589)]. 69.26/69.70 Derived: -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -reflexive_relstr(A) | -rel_str(A) | -transitive_relstr(A) | transitive(the_InternalRel(A)). [resolve(1552,c,1542,c)]. 69.26/69.70 Derived: -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -reflexive_relstr(A) | -rel_str(A) | -transitive_relstr(A) | v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)). [resolve(1552,c,1547,c)]. 69.26/69.70 Derived: -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -reflexive_relstr(A) | -rel_str(A) | -transitive_relstr(A) | antisymmetric(the_InternalRel(A)). [resolve(1552,c,1548,c)]. 69.26/69.70 Derived: -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -reflexive_relstr(A) | -rel_str(A) | -transitive_relstr(A) | reflexive(the_InternalRel(A)). [resolve(1552,c,1549,c)]. 69.26/69.70 Derived: -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -reflexive_relstr(A) | -rel_str(A) | -transitive_relstr(A) | relation(the_InternalRel(A)). [resolve(1552,c,1550,c)]. 76.76/77.17 Derived: -rel_str(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related(A,B,C) | -related(A,C,B) | C = B. [resolve(1552,c,1551,b)]. 76.76/77.17 1553 -rel_str(A) | is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) | -antisymmetric_relstr(A) # label(d6_orders_2) # label(axiom). [clausify(589)]. 76.76/77.17 Derived: -rel_str(c7) | is_antisymmetric_in(the_InternalRel(c7),the_carrier(c7)). [resolve(1553,c,1543,a)]. 76.76/77.17 Derived: -rel_str(rel_str_of(A,B)) | is_antisymmetric_in(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1553,c,1544,f)]. 76.76/77.17 Derived: -rel_str(poset_of_lattice(A)) | is_antisymmetric_in(the_InternalRel(poset_of_lattice(A)),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1553,c,1545,d)]. 76.76/77.17 1554 -rel_str(A) | -strict_rel_str(A) | rel_str_of(the_carrier(A),the_InternalRel(A)) = A # label(abstractness_v1_orders_2) # label(axiom). [clausify(222)]. 76.76/77.17 1555 strict_rel_str(c7) # label(rc2_orders_2) # label(axiom). [clausify(77)]. 76.76/77.17 1556 -reflexive(A) | -transitive(A) | -relation_of2(A,B,B) | -v1_partfun1(A,B,B) | -antisymmetric(A) | strict_rel_str(rel_str_of(B,A)) # label(fc3_orders_2) # label(axiom). [clausify(90)]. 76.76/77.17 1557 -relation_of2(A,B,B) | strict_rel_str(rel_str_of(B,A)) # label(dt_g1_orders_2) # label(axiom). [clausify(115)]. 76.76/77.17 Derived: -rel_str(c7) | rel_str_of(the_carrier(c7),the_InternalRel(c7)) = c7. [resolve(1554,b,1555,a)]. 76.76/77.17 Derived: -rel_str(rel_str_of(A,B)) | rel_str_of(the_carrier(rel_str_of(A,B)),the_InternalRel(rel_str_of(A,B))) = rel_str_of(A,B) | -reflexive(B) | -transitive(B) | -relation_of2(B,A,A) | -v1_partfun1(B,A,A) | -antisymmetric(B). [resolve(1554,b,1556,f)]. 76.76/77.17 Derived: -rel_str(rel_str_of(A,B)) | rel_str_of(the_carrier(rel_str_of(A,B)),the_InternalRel(rel_str_of(A,B))) = rel_str_of(A,B) | -relation_of2(B,A,A). [resolve(1554,b,1557,b)]. 76.76/77.17 1558 -latt_str(A) | -lattice(A) | empty_carrier(A) | strict_rel_str(poset_of_lattice(A)) # label(fc4_lattice3) # label(axiom). [clausify(283)]. 76.76/77.17 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -rel_str(poset_of_lattice(A)) | rel_str_of(the_carrier(poset_of_lattice(A)),the_InternalRel(poset_of_lattice(A))) = poset_of_lattice(A). [resolve(1558,d,1554,b)]. 76.76/77.17 1559 empty(A) | -relation_of2(B,A,A) | strict_rel_str(rel_str_of(A,B)) # label(fc1_orders_2) # label(axiom). [clausify(315)]. 76.76/77.17 1560 empty_carrier(A) | -lattice(A) | -latt_str(A) | strict_rel_str(poset_of_lattice(A)) # label(dt_k3_lattice3) # label(axiom). [clausify(385)]. 76.76/77.17 1561 strict_rel_str(c18) # label(rc1_orders_2) # label(axiom). [clausify(387)]. 76.76/77.17 Derived: -rel_str(c18) | rel_str_of(the_carrier(c18),the_InternalRel(c18)) = c18. [resolve(1561,a,1554,b)]. 76.76/77.17 1562 empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,the_carrier(A)) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))) # label(dt_m1_connsp_2) # label(axiom). [clausify(127)]. 76.76/77.17 1563 empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f64(A,B),A,B) # label(existence_m1_connsp_2) # label(axiom). [clausify(82)]. 76.76/77.17 Derived: empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,the_carrier(A)) | element(f64(A,B),powerset(the_carrier(A))) | empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,the_carrier(A)). [resolve(1562,e,1563,e)]. 76.76/77.17 1564 -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -point_neighbourhood(C,A,B) | in(B,interior(A,C)) # label(d1_connsp_2) # label(axiom). [clausify(353)]. 76.76/77.17 Derived: -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(f64(A,B),powerset(the_carrier(A))) | in(B,interior(A,f64(A,B))) | empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,the_carrier(A)). [resolve(1564,f,1563,e)]. 80.84/81.31 1565 -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | point_neighbourhood(C,A,B) | -in(B,interior(A,C)) # label(d1_connsp_2) # label(axiom). [clausify(353)]. 80.84/81.31 1566 -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,B) | -open_subset(B,A) | point_neighbourhood(B,A,C) # label(t5_connsp_2) # label(lemma). [clausify(474)]. 80.84/81.31 Derived: -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,B) | -open_subset(B,A) | -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(C,the_carrier(A)) | -element(B,powerset(the_carrier(A))) | in(C,interior(A,B)). [resolve(1566,h,1564,f)]. 80.84/81.31 1567 -latt_str(A) | -strict_latt_str(A) | boole_lattice(B) != A | powerset(B) = the_carrier(A) # label(d1_lattice3) # label(axiom). [clausify(272)]. 80.84/81.31 1568 -function(A) | -relation_of2(B,cartesian_product2(C,C),C) | -quasi_total(B,cartesian_product2(C,C),C) | -function(B) | -relation_of2(A,cartesian_product2(C,C),C) | -quasi_total(A,cartesian_product2(C,C),C) | empty(C) | strict_latt_str(latt_str_of(C,A,B)) # label(fc3_lattices) # label(axiom). [clausify(137)]. 80.84/81.31 1569 strict_latt_str(boole_lattice(A)) # label(dt_k1_lattice3) # label(axiom). [clausify(181)]. 80.84/81.31 1570 strict_latt_str(c11) # label(rc6_lattices) # label(axiom). [clausify(199)]. 80.84/81.31 1571 strict_latt_str(c12) # label(rc9_lattices) # label(axiom). [clausify(209)]. 80.84/81.31 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) != latt_str_of(A,B,C) | powerset(D) = the_carrier(latt_str_of(A,B,C)) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1567,b,1568,h)]. 80.84/81.31 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) != boole_lattice(A) | powerset(B) = the_carrier(boole_lattice(A)). [resolve(1567,b,1569,a)]. 80.84/81.31 Derived: -latt_str(c11) | boole_lattice(A) != c11 | powerset(A) = the_carrier(c11). [resolve(1567,b,1570,a)]. 80.84/81.31 Derived: -latt_str(c12) | boole_lattice(A) != c12 | powerset(A) = the_carrier(c12). [resolve(1567,b,1571,a)]. 80.84/81.31 1572 -latt_str(A) | -strict_latt_str(A) | boole_lattice(B) != A | -element(C,powerset(B)) | -element(D,powerset(B)) | apply_binary(the_L_join(A),C,D) = subset_union2(B,C,D) # label(d1_lattice3) # label(axiom). [clausify(272)]. 80.84/81.31 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) != latt_str_of(A,B,C) | -element(E,powerset(D)) | -element(F,powerset(D)) | apply_binary(the_L_join(latt_str_of(A,B,C)),E,F) = subset_union2(D,E,F) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1572,b,1568,h)]. 80.84/81.31 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) != boole_lattice(A) | -element(C,powerset(B)) | -element(D,powerset(B)) | apply_binary(the_L_join(boole_lattice(A)),C,D) = subset_union2(B,C,D). [resolve(1572,b,1569,a)]. 80.84/81.31 Derived: -latt_str(c11) | boole_lattice(A) != c11 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_join(c11),B,C) = subset_union2(A,B,C). [resolve(1572,b,1570,a)]. 80.84/81.31 Derived: -latt_str(c12) | boole_lattice(A) != c12 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_join(c12),B,C) = subset_union2(A,B,C). [resolve(1572,b,1571,a)]. 80.84/81.31 1573 -latt_str(A) | -strict_latt_str(A) | boole_lattice(B) != A | -element(C,powerset(B)) | -element(D,powerset(B)) | apply_binary(the_L_meet(A),C,D) = subset_intersection2(B,C,D) # label(d1_lattice3) # label(axiom). [clausify(272)]. 80.84/81.31 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) != latt_str_of(A,B,C) | -element(E,powerset(D)) | -element(F,powerset(D)) | apply_binary(the_L_meet(latt_str_of(A,B,C)),E,F) = subset_intersection2(D,E,F) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1573,b,1568,h)]. 80.84/81.32 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) != boole_lattice(A) | -element(C,powerset(B)) | -element(D,powerset(B)) | apply_binary(the_L_meet(boole_lattice(A)),C,D) = subset_intersection2(B,C,D). [resolve(1573,b,1569,a)]. 80.84/81.32 Derived: -latt_str(c11) | boole_lattice(A) != c11 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_meet(c11),B,C) = subset_intersection2(A,B,C). [resolve(1573,b,1570,a)]. 80.84/81.32 Derived: -latt_str(c12) | boole_lattice(A) != c12 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_meet(c12),B,C) = subset_intersection2(A,B,C). [resolve(1573,b,1571,a)]. 80.84/81.32 1574 -latt_str(A) | -strict_latt_str(A) | boole_lattice(B) = A | powerset(B) != the_carrier(A) | element(f187(B,A),powerset(B)) # label(d1_lattice3) # label(axiom). [clausify(272)]. 80.84/81.32 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) = latt_str_of(A,B,C) | powerset(D) != the_carrier(latt_str_of(A,B,C)) | element(f187(D,latt_str_of(A,B,C)),powerset(D)) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1574,b,1568,h)]. 80.84/81.32 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) = boole_lattice(A) | powerset(B) != the_carrier(boole_lattice(A)) | element(f187(B,boole_lattice(A)),powerset(B)). [resolve(1574,b,1569,a)]. 80.84/81.32 Derived: -latt_str(c11) | boole_lattice(A) = c11 | powerset(A) != the_carrier(c11) | element(f187(A,c11),powerset(A)). [resolve(1574,b,1570,a)]. 80.84/81.32 Derived: -latt_str(c12) | boole_lattice(A) = c12 | powerset(A) != the_carrier(c12) | element(f187(A,c12),powerset(A)). [resolve(1574,b,1571,a)]. 80.84/81.32 1575 -latt_str(A) | -strict_latt_str(A) | boole_lattice(B) = A | powerset(B) != the_carrier(A) | element(f188(B,A),powerset(B)) # label(d1_lattice3) # label(axiom). [clausify(272)]. 80.84/81.32 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) = latt_str_of(A,B,C) | powerset(D) != the_carrier(latt_str_of(A,B,C)) | element(f188(D,latt_str_of(A,B,C)),powerset(D)) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1575,b,1568,h)]. 80.84/81.32 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) = boole_lattice(A) | powerset(B) != the_carrier(boole_lattice(A)) | element(f188(B,boole_lattice(A)),powerset(B)). [resolve(1575,b,1569,a)]. 80.84/81.32 Derived: -latt_str(c11) | boole_lattice(A) = c11 | powerset(A) != the_carrier(c11) | element(f188(A,c11),powerset(A)). [resolve(1575,b,1570,a)]. 80.84/81.32 Derived: -latt_str(c12) | boole_lattice(A) = c12 | powerset(A) != the_carrier(c12) | element(f188(A,c12),powerset(A)). [resolve(1575,b,1571,a)]. 80.84/81.32 1576 -latt_str(A) | -strict_latt_str(A) | boole_lattice(B) = A | powerset(B) != the_carrier(A) | apply_binary(the_L_join(A),f187(B,A),f188(B,A)) != subset_union2(B,f187(B,A),f188(B,A)) | apply_binary(the_L_meet(A),f187(B,A),f188(B,A)) != subset_intersection2(B,f187(B,A),f188(B,A)) # label(d1_lattice3) # label(axiom). [clausify(272)]. 80.84/81.32 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) = latt_str_of(A,B,C) | powerset(D) != the_carrier(latt_str_of(A,B,C)) | apply_binary(the_L_join(latt_str_of(A,B,C)),f187(D,latt_str_of(A,B,C)),f188(D,latt_str_of(A,B,C))) != subset_union2(D,f187(D,latt_str_of(A,B,C)),f188(D,latt_str_of(A,B,C))) | apply_binary(the_L_meet(latt_str_of(A,B,C)),f187(D,latt_str_of(A,B,C)),f188(D,latt_str_of(A,B,C))) != subset_intersection2(D,f187(D,latt_str_of(A,B,C)),f188(D,latt_str_of(A,B,C))) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1576,b,1568,h)]. 80.84/81.32 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) = boole_lattice(A) | powerset(B) != the_carrier(boole_lattice(A)) | apply_binary(the_L_join(boole_lattice(A)),f187(B,boole_lattice(A)),f188(B,boole_lattice(A))) != subset_union2(B,f187(B,boole_lattice(A)),f188(B,boole_lattice(A))) | apply_binary(the_L_meet(boole_lattice(A)),f187(B,boole_lattice(A)),f188(B,boole_lattice(A))) != subset_intersection2(B,f187(B,boole_lattice(A)),f188(B,boole_lattice(A))). [resolve(1576,b,1569,a)]. 81.00/81.40 Derived: -latt_str(c11) | boole_lattice(A) = c11 | powerset(A) != the_carrier(c11) | apply_binary(the_L_join(c11),f187(A,c11),f188(A,c11)) != subset_union2(A,f187(A,c11),f188(A,c11)) | apply_binary(the_L_meet(c11),f187(A,c11),f188(A,c11)) != subset_intersection2(A,f187(A,c11),f188(A,c11)). [resolve(1576,b,1570,a)]. 81.00/81.40 Derived: -latt_str(c12) | boole_lattice(A) = c12 | powerset(A) != the_carrier(c12) | apply_binary(the_L_join(c12),f187(A,c12),f188(A,c12)) != subset_union2(A,f187(A,c12),f188(A,c12)) | apply_binary(the_L_meet(c12),f187(A,c12),f188(A,c12)) != subset_intersection2(A,f187(A,c12),f188(A,c12)). [resolve(1576,b,1571,a)]. 81.00/81.40 1577 strict_latt_str(boole_lattice(A)) # label(fc1_lattice3) # label(axiom). [clausify(312)]. 81.00/81.40 1578 empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | strict_latt_str(k8_filter_1(A,B)) # label(dt_k8_filter_1) # label(axiom). [clausify(372)]. 81.00/81.40 Derived: empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) != k8_filter_1(A,B) | powerset(C) = the_carrier(k8_filter_1(A,B)). [resolve(1578,e,1567,b)]. 81.00/81.40 Derived: empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) != k8_filter_1(A,B) | -element(D,powerset(C)) | -element(E,powerset(C)) | apply_binary(the_L_join(k8_filter_1(A,B)),D,E) = subset_union2(C,D,E). [resolve(1578,e,1572,b)]. 81.00/81.40 Derived: empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) != k8_filter_1(A,B) | -element(D,powerset(C)) | -element(E,powerset(C)) | apply_binary(the_L_meet(k8_filter_1(A,B)),D,E) = subset_intersection2(C,D,E). [resolve(1578,e,1573,b)]. 81.00/81.40 Derived: empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) = k8_filter_1(A,B) | powerset(C) != the_carrier(k8_filter_1(A,B)) | element(f187(C,k8_filter_1(A,B)),powerset(C)). [resolve(1578,e,1574,b)]. 81.00/81.40 Derived: empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) = k8_filter_1(A,B) | powerset(C) != the_carrier(k8_filter_1(A,B)) | element(f188(C,k8_filter_1(A,B)),powerset(C)). [resolve(1578,e,1575,b)]. 81.00/81.40 Derived: empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) = k8_filter_1(A,B) | powerset(C) != the_carrier(k8_filter_1(A,B)) | apply_binary(the_L_join(k8_filter_1(A,B)),f187(C,k8_filter_1(A,B)),f188(C,k8_filter_1(A,B))) != subset_union2(C,f187(C,k8_filter_1(A,B)),f188(C,k8_filter_1(A,B))) | apply_binary(the_L_meet(k8_filter_1(A,B)),f187(C,k8_filter_1(A,B)),f188(C,k8_filter_1(A,B))) != subset_intersection2(C,f187(C,k8_filter_1(A,B)),f188(C,k8_filter_1(A,B))). [resolve(1578,e,1576,b)]. 81.00/81.40 1579 -latt_str(A) | -strict_latt_str(A) | latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(433)]. 81.00/81.40 Derived: -latt_str(latt_str_of(A,B,C)) | latt_str_of(the_carrier(latt_str_of(A,B,C)),the_L_join(latt_str_of(A,B,C)),the_L_meet(latt_str_of(A,B,C))) = latt_str_of(A,B,C) | -function(B) | -relation_of2(C,cartesian_product2(A,A),A) | -quasi_total(C,cartesian_product2(A,A),A) | -function(C) | -relation_of2(B,cartesian_product2(A,A),A) | -quasi_total(B,cartesian_product2(A,A),A) | empty(A). [resolve(1579,b,1568,h)]. 81.00/81.40 Derived: -latt_str(boole_lattice(A)) | latt_str_of(the_carrier(boole_lattice(A)),the_L_join(boole_lattice(A)),the_L_meet(boole_lattice(A))) = boole_lattice(A). [resolve(1579,b,1569,a)]. 81.00/81.40 Derived: -latt_str(c11) | latt_str_of(the_carrier(c11),the_L_join(c11),the_L_meet(c11)) = c11. [resolve(1579,b,1570,a)]. 81.03/81.50 Derived: -latt_str(c12) | latt_str_of(the_carrier(c12),the_L_join(c12),the_L_meet(c12)) = c12. [resolve(1579,b,1571,a)]. 81.03/81.50 Derived: -latt_str(k8_filter_1(A,B)) | latt_str_of(the_carrier(k8_filter_1(A,B)),the_L_join(k8_filter_1(A,B)),the_L_meet(k8_filter_1(A,B))) = k8_filter_1(A,B) | empty_carrier(A) | -latt_str(A) | -latt_str(B) | empty_carrier(B). [resolve(1579,b,1578,e)]. 81.03/81.50 1580 strict_latt_str(boole_lattice(A)) # label(fc2_lattice3) # label(axiom). [clausify(468)]. 81.03/81.50 1581 strict_latt_str(c24) # label(rc3_lattices) # label(axiom). [clausify(475)]. 81.03/81.50 Derived: -latt_str(c24) | boole_lattice(A) != c24 | powerset(A) = the_carrier(c24). [resolve(1581,a,1567,b)]. 81.03/81.50 Derived: -latt_str(c24) | boole_lattice(A) != c24 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_join(c24),B,C) = subset_union2(A,B,C). [resolve(1581,a,1572,b)]. 81.03/81.50 Derived: -latt_str(c24) | boole_lattice(A) != c24 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_meet(c24),B,C) = subset_intersection2(A,B,C). [resolve(1581,a,1573,b)]. 81.03/81.50 Derived: -latt_str(c24) | boole_lattice(A) = c24 | powerset(A) != the_carrier(c24) | element(f187(A,c24),powerset(A)). [resolve(1581,a,1574,b)]. 81.03/81.50 Derived: -latt_str(c24) | boole_lattice(A) = c24 | powerset(A) != the_carrier(c24) | element(f188(A,c24),powerset(A)). [resolve(1581,a,1575,b)]. 81.03/81.50 Derived: -latt_str(c24) | boole_lattice(A) = c24 | powerset(A) != the_carrier(c24) | apply_binary(the_L_join(c24),f187(A,c24),f188(A,c24)) != subset_union2(A,f187(A,c24),f188(A,c24)) | apply_binary(the_L_meet(c24),f187(A,c24),f188(A,c24)) != subset_intersection2(A,f187(A,c24),f188(A,c24)). [resolve(1581,a,1576,b)]. 81.03/81.50 Derived: -latt_str(c24) | latt_str_of(the_carrier(c24),the_L_join(c24),the_L_meet(c24)) = c24. [resolve(1581,a,1579,b)]. 81.03/81.50 1582 -relation_of2(A,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -function(C) | -quasi_total(A,cartesian_product2(B,B),B) | -function(A) | strict_latt_str(latt_str_of(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(536)]. 81.03/81.50 Derived: -relation_of2(A,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -function(C) | -quasi_total(A,cartesian_product2(B,B),B) | -function(A) | -latt_str(latt_str_of(B,A,C)) | boole_lattice(D) != latt_str_of(B,A,C) | powerset(D) = the_carrier(latt_str_of(B,A,C)). [resolve(1582,g,1567,b)]. 81.03/81.50 Derived: -relation_of2(A,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -function(C) | -quasi_total(A,cartesian_product2(B,B),B) | -function(A) | -latt_str(latt_str_of(B,A,C)) | boole_lattice(D) != latt_str_of(B,A,C) | -element(E,powerset(D)) | -element(F,powerset(D)) | apply_binary(the_L_join(latt_str_of(B,A,C)),E,F) = subset_union2(D,E,F). [resolve(1582,g,1572,b)]. 81.03/81.50 Derived: -relation_of2(A,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -function(C) | -quasi_total(A,cartesian_product2(B,B),B) | -function(A) | -latt_str(latt_str_of(B,A,C)) | boole_lattice(D) != latt_str_of(B,A,C) | -element(E,powerset(D)) | -element(F,powerset(D)) | apply_binary(the_L_meet(latt_str_of(B,A,C)),E,F) = subset_intersection2(D,E,F). [resolve(1582,g,1573,b)]. 81.03/81.50 Derived: -relation_of2(A,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -function(C) | -quasi_total(A,cartesian_product2(B,B),B) | -function(A) | -latt_str(latt_str_of(B,A,C)) | boole_lattice(D) = latt_str_of(B,A,C) | powerset(D) != the_carrier(latt_str_of(B,A,C)) | element(f187(D,latt_str_of(B,A,C)),powerset(D)). [resolve(1582,g,1574,b)]. 81.03/81.50 Derived: -relation_of2(A,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -function(C) | -quasi_total(A,cartesian_product2(B,B),B) | -function(A) | -latt_str(latt_str_of(B,A,C)) | boole_lattAlarm clock 119.67/120.06 Prover9 interrupted 119.67/120.06 EOF