0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.52 % Computer : n008.cluster.edu 0.10/0.52 % Model : x86_64 x86_64 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.52 % Memory : 8042.1875MB 0.10/0.52 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.52 % CPULimit : 960 0.10/0.52 % DateTime : Thu Jul 2 14:44:29 EDT 2020 0.10/0.53 % CPUTime : 1.88/2.84 ============================== Prover9 =============================== 1.88/2.84 Prover9 (32) version 2009-11A, November 2009. 1.88/2.84 Process 6617 was started by sandbox2 on n008.cluster.edu, 1.88/2.84 Thu Jul 2 14:44:32 2020 1.88/2.84 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_6461_n008.cluster.edu". 1.88/2.84 ============================== end of head =========================== 1.88/2.84 1.88/2.84 ============================== INPUT ================================= 1.88/2.84 1.88/2.84 % Reading from file /tmp/Prover9_6461_n008.cluster.edu 1.88/2.84 1.88/2.84 set(prolog_style_variables). 1.88/2.84 set(auto2). 1.88/2.84 % set(auto2) -> set(auto). 1.88/2.84 % set(auto) -> set(auto_inference). 1.88/2.84 % set(auto) -> set(auto_setup). 1.88/2.84 % set(auto_setup) -> set(predicate_elim). 1.88/2.84 % set(auto_setup) -> assign(eq_defs, unfold). 1.88/2.84 % set(auto) -> set(auto_limits). 1.88/2.84 % set(auto_limits) -> assign(max_weight, "100.000"). 1.88/2.84 % set(auto_limits) -> assign(sos_limit, 20000). 1.88/2.84 % set(auto) -> set(auto_denials). 1.88/2.84 % set(auto) -> set(auto_process). 1.88/2.84 % set(auto2) -> assign(new_constants, 1). 1.88/2.84 % set(auto2) -> assign(fold_denial_max, 3). 1.88/2.84 % set(auto2) -> assign(max_weight, "200.000"). 1.88/2.84 % set(auto2) -> assign(max_hours, 1). 1.88/2.84 % assign(max_hours, 1) -> assign(max_seconds, 3600). 1.88/2.84 % set(auto2) -> assign(max_seconds, 0). 1.88/2.84 % set(auto2) -> assign(max_minutes, 5). 1.88/2.84 % assign(max_minutes, 5) -> assign(max_seconds, 300). 1.88/2.84 % set(auto2) -> set(sort_initial_sos). 1.88/2.84 % set(auto2) -> assign(sos_limit, -1). 1.88/2.84 % set(auto2) -> assign(lrs_ticks, 3000). 1.88/2.84 % set(auto2) -> assign(max_megs, 400). 1.88/2.84 % set(auto2) -> assign(stats, some). 1.88/2.84 % set(auto2) -> clear(echo_input). 1.88/2.84 % set(auto2) -> set(quiet). 1.88/2.84 % set(auto2) -> clear(print_initial_clauses). 1.88/2.84 % set(auto2) -> clear(print_given). 1.88/2.84 assign(lrs_ticks,-1). 1.88/2.84 assign(sos_limit,10000). 1.88/2.84 assign(order,kbo). 1.88/2.84 set(lex_order_vars). 1.88/2.84 clear(print_given). 1.88/2.84 1.88/2.84 % formulas(sos). % not echoed (694 formulas) 1.88/2.84 1.88/2.84 ============================== end of input ========================== 1.88/2.84 1.88/2.84 % From the command line: assign(max_seconds, 960). 1.88/2.84 1.88/2.84 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 1.88/2.84 1.88/2.84 % Formulas that are not ordinary clauses: 1.88/2.84 1 (all A all B ((exists C (relation(C) & function(C) & B = relation_rng(C) & relation_dom(C) = A & one_to_one(C))) <-> equipotent(A,B))) # label(d4_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 2 (all A all B (v5_membered(A) -> v1_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)) & v5_membered(set_intersection2(A,B)) & v4_membered(set_intersection2(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 3 (all A (one_sorted_str(A) -> the_carrier(A) = cast_as_carrier_subset(A))) # label(t12_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 4 (all A all B (relation(B) -> (antisymmetric(B) -> antisymmetric(relation_restriction(B,A))))) # label(t25_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 5 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B))))) # label(t47_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 6 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> set_union2(B,C) = subset_union2(A,B,C))) # label(redefinition_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 7 (all A transitive(inclusion_relation(A))) # label(t3_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 8 (all A all B all C ((all D (in(D,C) <-> -in(D,B) & in(D,A))) <-> set_difference(A,B) = C)) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 9 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 10 (all A all B all C (relation_of2_as_subset(C,A,B) -> ((all D -(in(D,B) & (all E -in(ordered_pair(E,D),C)))) <-> B = relation_rng_as_subset(A,B,C)))) # label(t23_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 11 (all A (meet_semilatt_str(A) & -empty_carrier(A) -> element(bottom_of_semilattstr(A),the_carrier(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 12 (all A (relation(A) -> (all B (relation(B) -> relation_rng(relation_composition(A,B)) = relation_image(B,relation_rng(A)))))) # label(t160_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 13 (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]. 1.88/2.84 14 (all A (-empty_carrier(A) & meet_semilatt_str(A) -> (lower_bounded_semilattstr(A) <-> (exists B ((all C (element(C,the_carrier(A)) -> meet(A,C,B) = B & B = meet(A,B,C))) & element(B,the_carrier(A))))))) # label(d13_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 15 (all A (element(A,omega) -> epsilon_transitive(A) & epsilon_connected(A) & natural(A) & ordinal(A))) # label(cc3_arytm_3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 16 (all A all B (proper_subset(A,B) -> -proper_subset(B,A))) # label(antisymmetry_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 17 (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]. 1.88/2.84 18 (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]. 1.88/2.84 19 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> element(subset_intersection2(A,B,C),powerset(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 20 (all A (meet_semilatt_str(A) -> function(the_L_meet(A)) & relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 21 (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]. 1.88/2.84 22 (all A all B (relation(B) & relation(A) -> relation(set_difference(A,B)))) # label(fc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 23 (all A (-empty_carrier(A) & meet_associative(A) & meet_semilatt_str(A) -> relation(the_L_meet(A)) & quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(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)) & function(the_L_meet(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 24 (all A (finite(A) <-> (exists B (relation(B) & function(B) & A = relation_rng(B) & in(relation_dom(B),omega))))) # label(d1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 25 (exists A (-empty(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 26 (all A exists B ((all C (in(C,B) -> in(powerset(C),B))) & (all C -(subset(C,B) & -are_equipotent(C,B) & -in(C,B))) & (all C all D (subset(D,C) & in(C,B) -> in(D,B))) & in(A,B))) # label(t136_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 27 (exists A (function(A) & relation(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 28 (exists A (finite(A) & -empty(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 29 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 30 (all A all B (pair_first(ordered_pair(A,B)) = A & pair_second(ordered_pair(A,B)) = B)) # label(t7_mcart_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.84 31 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.84 32 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 33 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 34 (all A all B all C (relation(C) -> (in(A,relation_image(C,B)) <-> (exists D (in(D,B) & in(ordered_pair(D,A),C) & in(D,relation_dom(C))))))) # label(t143_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 35 (all A all B all C all D (relation(D) -> (in(ordered_pair(A,B),relation_composition(identity_relation(C),D)) <-> in(ordered_pair(A,B),D) & in(A,C)))) # label(t74_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 36 (all A all B all C (relation_of2_as_subset(C,A,B) -> subset(relation_rng(C),B) & subset(relation_dom(C),A))) # label(t12_relset_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 37 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 38 (all A all B (relation(B) -> set_intersection2(relation_rng(B),A) = relation_rng(relation_rng_restriction(A,B)))) # label(t119_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 39 (all A all B all C (relation_of2(C,A,B) -> (function(C) & bijective(C,A,B) & quasi_total(C,A,B) -> function(C) & one_to_one(C) & onto(C,A,B) & quasi_total(C,A,B)))) # label(cc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 40 (all A (latt_str(A) & lattice(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A)) <-> below_refl(A,B,C)))))))) # label(t32_filter_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 41 (all A all B unordered_pair(B,A) = unordered_pair(A,B)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 42 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> meet_of_subsets(A,complements_of_subsets(A,B)) = subset_complement(A,union_of_subsets(A,B))))) # label(t11_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 43 (all A element(cast_to_subset(A),powerset(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 44 (all A all B ((-empty(A) -> (in(B,A) <-> element(B,A))) & (empty(A) -> (empty(B) <-> element(B,A))))) # label(d2_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 45 (all A (relation(A) -> (all B (is_well_founded_in(A,B) <-> (all C -((all D -(disjoint(fiber(A,D),C) & in(D,C))) & C != empty_set & subset(C,B))))))) # label(d3_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 46 (all A (ordinal(A) -> epsilon_transitive(succ(A)) & epsilon_connected(succ(A)) & ordinal(succ(A)) & -empty(succ(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 47 (all A all B (lattice(B) & latt_str(B) & -empty_carrier(B) -> ((exists C exists D (element(D,the_carrier(B)) & ordered_pair_as_product_element(the_carrier(B),the_carrier(B),C,D) = A & below_refl(B,C,D) & element(C,the_carrier(B)))) <-> in(A,a_1_0_filter_1(B))))) # label(fraenkel_a_1_0_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 48 (all A identity_as_relation_of(A) = identity_relation(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 49 (all A all B (v2_membered(A) -> v1_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)))) # label(fc29_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 50 (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]. 1.88/2.85 51 (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]. 1.88/2.85 52 (all A (diff_closed(A) & cup_closed(A) -> preboolean(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 53 (all A all B (are_equipotent(A,B) <-> equipotent(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 54 (all A cast_to_subset(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 55 (all A set_intersection2(A,empty_set) = empty_set) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 56 (all A (latt_str(A) & lattice(A) & -empty_carrier(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)) & strict_rel_str(poset_of_lattice(A)))) # label(dt_k3_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 57 (all A ((all B all C all D (in(B,A) & singleton(B) = C & D = singleton(B) & in(B,A) -> C = D)) -> (exists B all C ((exists D (in(D,A) & C = singleton(D) & in(D,A))) <-> in(C,B))))) # label(s1_tarski__e16_22__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 58 (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]. 1.88/2.85 59 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 60 (all A all B (v3_membered(A) -> v3_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)) & v1_membered(set_intersection2(A,B)))) # label(fc31_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 61 (all A all B (ordinal(A) & ordinal(B) -> ordinal_subset(B,A) | ordinal_subset(A,B))) # label(connectedness_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 62 (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]. 1.88/2.85 63 (all A (relation(A) -> (all B (relation(B) -> (subset(A,B) <-> (all C all D (in(ordered_pair(C,D),A) -> in(ordered_pair(C,D),B)))))))) # label(d3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 64 (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]. 1.88/2.85 65 (all A (one_to_one(A) & function(A) & relation(A) -> function(relation_inverse(A)) & relation(relation_inverse(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 66 (all A exists B (one_to_one(B) & quasi_total(B,A,A) & bijective(B,A,A) & onto(B,A,A) & function(B) & relation(B) & relation_of2(B,A,A))) # label(rc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 67 (exists A (latt_str(A) & strict_latt_str(A) & join_commutative(A) & join_associative(A) & meet_commutative(A) & meet_associative(A) & meet_absorbing(A) & lattice(A) & join_absorbing(A) & -empty_carrier(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 68 (all A (relation(A) -> relation_image(A,relation_dom(A)) = relation_rng(A))) # label(t146_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 69 (all A all B all C (relation(C) -> ((exists D (in(ordered_pair(A,D),C) & in(D,B) & in(D,relation_rng(C)))) <-> in(A,relation_inverse_image(C,B))))) # label(t166_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 70 (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]. 1.88/2.85 71 (all A (relation(A) & function(A) & empty(A) -> relation(A) & one_to_one(A) & function(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 72 (all A all B (relation(B) & -empty(A) -> (all C ((all D all E all F (D = E & D = F & (exists K exists L (F = ordered_pair(K,L) & in(K,A) & (exists M (K = M & in(L,M) & (all N (in(N,M) -> in(ordered_pair(L,N),B))))))) & (exists G exists H (E = ordered_pair(G,H) & (exists I (I = G & in(H,I) & (all J (in(J,I) -> in(ordered_pair(H,J),B))))) & in(G,A))) -> F = E)) -> (exists D all E ((exists F (E = F & (exists O exists P (in(O,A) & (exists Q (O = Q & (all R (in(R,Q) -> in(ordered_pair(P,R),B))) & in(P,Q))) & ordered_pair(O,P) = E)) & in(F,cartesian_product2(A,C)))) <-> in(E,D))))))) # label(s1_tarski__e10_24__wellord2__2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 73 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 74 (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]. 1.88/2.85 75 (all A all B all C (relation_of2_as_subset(C,A,B) <-> relation_of2(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 76 (all A (-empty_carrier(A) & latt_str(A) -> (-empty_carrier(A) & lattice(A) & complete_latt_str(A) & latt_str(A) -> (all B all C (element(C,the_carrier(A)) -> ((all D (element(D,the_carrier(A)) -> (latt_element_smaller(A,D,B) -> below(A,C,D)))) & latt_element_smaller(A,C,B) <-> C = join_of_latt_set(A,B))))))) # label(d21_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 77 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> k2_lattice3(A) = relation_of_lattice(A))) # label(redefinition_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 78 (all A all B (element(B,powerset(the_carrier(A))) & closed_subset(B,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]. 1.88/2.85 79 (all A (join_semilatt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_join(A),B,C) = join(A,B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 80 (all A (relation(A) & function(A) -> (all B all C ((in(B,relation_dom(A)) -> (in(ordered_pair(B,C),A) <-> apply(A,B) = C)) & (-in(B,relation_dom(A)) -> (empty_set = C <-> apply(A,B) = C)))))) # label(d4_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 81 (all A all B all C all D (lattice(A) & latt_str(A) & -empty_carrier(B) & latt_str(B) & element(D,the_carrier(B)) & element(C,the_carrier(A)) & lattice(B) & -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]. 1.88/2.85 82 (all A (relation(A) -> (antisymmetric(A) & well_founded_relation(A) & connected(A) & transitive(A) & reflexive(A) <-> well_ordering(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 83 (all A (latt_str(boole_lattice(A)) & strict_latt_str(boole_lattice(A)))) # label(dt_k1_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 84 (all A (relation(A) & function(A) -> (all B all C (C = relation_image(A,B) <-> (all D ((exists E (in(E,relation_dom(A)) & in(E,B) & apply(A,E) = D)) <-> in(D,C))))))) # label(d12_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 85 (all A relation(identity_relation(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 86 (all A all B (top_str(A) & element(B,powerset(powerset(the_carrier(A)))) & topological_space(A) -> ((all C all D all E (D = C & E = C & in(set_difference(cast_as_carrier_subset(A),E),B) & in(set_difference(cast_as_carrier_subset(A),D),B) -> E = D)) -> (exists C all D (in(D,C) <-> (exists E (E = D & in(set_difference(cast_as_carrier_subset(A),D),B) & in(E,powerset(the_carrier(A)))))))))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 87 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (topological_space(A) & topstr_closure(A,B) = B -> closed_subset(B,A)) & (closed_subset(B,A) -> B = topstr_closure(A,B)))))) # label(t52_pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.88/2.85 88 (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]. 1.88/2.85 89 (all A all B (subset(A,B) <-> element(A,powerset(B)))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 1.88/2.85 90 (all A (latt_str(A) & -empty_carrier(A) -> ((all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> join(A,meet(A,B,C),C) = C)))) <-> meet_absorbing(A)))) # label(d8_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 91 (all A all B (-empty(B) & -empty(A) -> (all C (relation_of2(C,A,B) -> (quasi_total(C,A,B) & function(C) -> -empty(C) & quasi_total(C,A,B) & v1_partfun1(C,A,B) & function(C)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 92 (all A all B (ordinal(A) & ordinal(B) -> (ordinal_subset(A,B) <-> subset(A,B)))) # label(redefinition_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 93 (all A (relation(A) -> (all B (relation(B) -> (B = A <-> (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]. 1.88/2.86 94 (all A -empty(succ(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 95 (all A all B (v4_membered(A) -> v3_membered(set_difference(A,B)) & v4_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)) & v1_membered(set_difference(A,B)))) # label(fc40_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 96 (all A all B all C (relation_of2_as_subset(C,A,B) -> (B = empty_set -> (C = empty_set <-> quasi_total(C,A,B)) | empty_set = A) & ((empty_set = B -> empty_set = A) -> (quasi_total(C,A,B) <-> relation_dom_as_subset(A,B,C) = A)))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 97 (all A exists B (relation(B) & well_orders(B,A))) # label(t26_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 98 (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]. 1.88/2.86 99 (all A all B -((all C -((all D -(in(D,B) & in(D,C))) & in(C,B))) & in(A,B))) # label(t7_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 100 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> set_intersection2(B,C) = subset_intersection2(A,B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 101 (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,B) -> 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,B))) -> (exists C (relation(C) & relation_dom(C) = B & (all D (in(D,B) -> (all I (element(I,powerset(the_carrier(A))) -> (I = D -> apply(C,D) = subset_complement(the_carrier(A),I)))))) & function(C)))))) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 102 (all A all B -(in(A,B) & disjoint(singleton(A),B))) # label(l25_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 103 (all A (function(A) & relation(A) -> (all B all C apply(A,ordered_pair(B,C)) = apply_binary(A,B,C)))) # label(d1_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 104 (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]. 1.88/2.86 105 (exists A (rel_str(A) & strict_rel_str(A))) # label(rc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 106 (all A all B (in(A,B) <-> subset(singleton(A),B))) # label(l2_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 107 (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]. 1.88/2.86 108 (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]. 1.88/2.86 109 (all A all B all C all D (quasi_total(D,A,B) & relation_of2_as_subset(D,A,B) & function(D) -> (all E (relation(E) & function(E) -> (in(C,A) -> B = empty_set | apply(relation_composition(D,E),C) = apply(E,apply(D,C))))))) # label(t21_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 110 (all A (topological_space(A) & top_str(A) & -empty_carrier(A) -> (exists B (closed_subset(B,A) & -empty(B) & element(B,powerset(the_carrier(A))))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 111 (all A (-empty_carrier(A) & meet_semilatt_str(A) & meet_commutative(A) -> relation(the_L_meet(A)) & quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(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)) & function(the_L_meet(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 112 (all A (function(A) & relation(A) -> (finite(relation_dom(A)) -> finite(relation_rng(A))))) # label(t26_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 113 (all A (v2_membered(A) -> (all B (element(B,A) -> v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 114 (all A antisymmetric(inclusion_relation(A))) # label(t5_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 115 (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]. 1.88/2.86 116 (all A (join_semilatt_str(A) & join_commutative(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (below(A,C,B) & below(A,B,C) -> B = C))))))) # label(t26_lattices) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 117 (all A (strict_latt_str(boole_lattice(A)) & join_commutative(boole_lattice(A)) & join_associative(boole_lattice(A)) & lattice(boole_lattice(A)) & join_absorbing(boole_lattice(A)) & meet_absorbing(boole_lattice(A)) & meet_associative(boole_lattice(A)) & meet_commutative(boole_lattice(A)) & -empty_carrier(boole_lattice(A)))) # label(fc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 118 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 119 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 120 (all A all B (element(B,the_carrier(boole_lattice(A))) -> (all C (element(C,the_carrier(boole_lattice(A))) -> set_intersection2(B,C) = meet(boole_lattice(A),B,C) & set_union2(B,C) = join(boole_lattice(A),B,C))))) # label(t1_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 121 (all A (latt_str(A) & lattice(A) & -empty_carrier(A) -> -empty_carrier(poset_of_lattice(A)) & strict_rel_str(poset_of_lattice(A)) & antisymmetric_relstr(poset_of_lattice(A)) & transitive_relstr(poset_of_lattice(A)) & reflexive_relstr(poset_of_lattice(A)))) # label(fc4_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 122 (all A (empty(A) -> empty(relation_inverse(A)) & relation(relation_inverse(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 123 (all A (preboolean(A) -> cup_closed(A) & diff_closed(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 124 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 125 (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]. 1.88/2.86 126 (all A all B (-empty(A) -> -empty(set_union2(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 127 (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]. 1.88/2.86 128 (all A all B (function(B) & relation(B) -> (subset(A,relation_rng(B)) -> relation_image(B,relation_inverse_image(B,A)) = A))) # label(t147_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 129 (all A (-empty(A) & relation(A) -> -empty(relation_dom(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 130 (all A all B (function(B) & relation(B) -> (in(A,relation_rng(B)) & one_to_one(B) -> apply(B,apply(function_inverse(B),A)) = A & A = apply(relation_composition(function_inverse(B),B),A)))) # label(t57_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 131 (all A all B (A = B <-> subset(B,A) & subset(A,B))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 132 (all A (top_str(A) & topological_space(A) -> (exists B (closed_subset(B,A) & element(B,powerset(the_carrier(A))))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 133 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 134 (all A all B all C (unordered_pair(B,C) = singleton(A) -> B = C)) # label(t9_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 135 (all A all B (relation(A) -> relation(relation_restriction(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 136 (all A ((exists B exists C A = ordered_pair(B,C)) -> (all B ((all C all D (A = ordered_pair(C,D) -> C = B)) <-> B = pair_first(A))))) # label(d1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 137 (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]. 1.88/2.86 138 (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]. 1.88/2.86 139 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 140 (all A (relation(A) -> (all B all C (relation(C) -> ((all D all E (in(D,B) & in(ordered_pair(D,E),A) <-> in(ordered_pair(D,E),C))) <-> C = relation_dom_restriction(A,B)))))) # label(d11_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 141 (all A (relation(A) & function(A) -> (one_to_one(A) -> relation_dom(A) = relation_rng(function_inverse(A)) & relation_dom(function_inverse(A)) = relation_rng(A)))) # label(t55_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 142 (all A all B exists C (function(C) & relation(C) & relation_of2(C,A,B))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 143 (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]. 1.88/2.86 144 (all A (relation(A) -> (all B all C (relation_image(A,B) = C <-> (all D (in(D,C) <-> (exists E (in(ordered_pair(E,D),A) & in(E,B))))))))) # label(d13_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 145 (all A exists B (in(A,B) & (all C all D (subset(D,C) & in(C,B) -> in(D,B))) & (all C -((all D -(in(D,B) & (all E (subset(E,C) -> in(E,D))))) & in(C,B))) & (all C -(subset(C,B) & -are_equipotent(C,B) & -in(C,B))))) # label(t9_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 146 (all A all B (ordinal(B) & ordinal(A) -> ordinal_subset(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 147 (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]. 1.88/2.86 148 (all A all B all C all D -(A != C & A != D & unordered_pair(C,D) = unordered_pair(A,B))) # label(t10_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 149 (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]. 1.88/2.86 150 (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]. 1.88/2.86 151 (all A (join_associative(A) & join_semilatt_str(A) & -empty_carrier(A) -> function(the_L_join(A)) & quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(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)) & relation(the_L_join(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 152 (all A (ordinal(A) -> well_ordering(inclusion_relation(A)))) # label(t7_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 153 (all A (lattice(A) & latt_str(A) & -empty_carrier(A) -> relation_of_lattice(A) = a_1_0_filter_1(A))) # label(d8_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 154 (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]. 1.88/2.86 155 (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]. 1.88/2.86 156 (all A all B ((all C (in(C,A) -> in(C,B))) <-> subset(A,B))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 157 (all A all B (relation(B) -> -(A != empty_set & subset(A,relation_rng(B)) & empty_set = relation_inverse_image(B,A)))) # label(t174_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 158 (all A all B all C -(element(B,powerset(C)) & empty(C) & in(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 159 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 160 (all A all B (v3_membered(A) -> v2_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc32_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 161 (all A all B all C (singleton(A) = unordered_pair(B,C) -> B = A)) # label(t8_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 162 (exists A (ordinal(A) & being_limit_ordinal(A) & epsilon_connected(A) & epsilon_transitive(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 163 (all A all B ((all C (in(C,B) <-> in(C,A))) -> B = A)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 164 (all A all B all C ((all D (in(D,C) <-> in(D,A) & in(D,B))) <-> set_intersection2(A,B) = C)) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 165 (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]. 1.88/2.86 166 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> set_difference(B,C) = subset_difference(A,B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 167 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 168 (all A all B all C (-empty_carrier(A) & meet_commutative(A) & meet_semilatt_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) -> meet_commut(A,B,C) = meet(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 169 (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]. 1.88/2.86 170 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 171 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> (all C exists D all E (in(E,D) <-> (exists F exists G (ordered_pair(F,G) = E & (all H (element(H,powerset(the_carrier(A))) -> (H = F -> G = subset_complement(the_carrier(A),H)))) & in(F,B))) & in(E,cartesian_product2(B,C)))))) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 172 (all A all B all C all D (-empty(A) & quasi_total(C,A,B) & relation_of2(C,A,B) & element(D,A) & function(C) -> element(apply_as_element(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 173 (all A all B (proper_subset(A,B) <-> subset(A,B) & B != A)) # label(d8_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 174 (all A exists B (empty(B) & relation(B) & epsilon_transitive(B) & ordinal(B) & natural(B) & finite(B) & epsilon_connected(B) & one_to_one(B) & function(B) & element(B,powerset(A)))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 175 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 176 (all A (relation(identity_relation(A)) & function(identity_relation(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 177 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> union_of_subsets(A,complements_of_subsets(A,B)) = subset_complement(A,meet_of_subsets(A,B))))) # label(t12_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 178 (all A all B (subset(singleton(A),singleton(B)) -> B = A)) # label(t6_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 179 (exists A (-empty_carrier(A) & strict_latt_str(A) & latt_str(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 180 (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]. 1.88/2.86 181 (all A all B all C (-empty_carrier(A) & meet_commutative(A) & meet_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) -> meet_commut(A,B,C) = meet_commut(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 182 (all A all B (finite(A) -> finite(set_intersection2(A,B)))) # label(t15_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 183 (all A all B (subset(singleton(A),B) <-> in(A,B))) # label(t37_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 184 (all A (ordinal(A) -> ((all B (ordinal(B) -> (in(B,A) -> (in(B,omega) -> (all C (element(C,powerset(powerset(B))) -> -((all D -(in(D,C) & (all E (in(E,C) & subset(D,E) -> E = D)))) & empty_set != C))))))) -> (in(A,omega) -> (all F (element(F,powerset(powerset(A))) -> -(F != empty_set & (all G -(in(G,F) & (all H (in(H,F) & subset(G,H) -> G = H))))))))))) -> (all A (ordinal(A) -> (in(A,omega) -> (all I (element(I,powerset(powerset(A))) -> -((all J -(in(J,I) & (all K (in(K,I) & subset(J,K) -> K = J)))) & I != empty_set)))))) # label(s2_ordinal1__e18_27__finset_1__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 185 (all A all B all C (relation(C) -> (in(A,relation_restriction(C,B)) <-> in(A,C) & in(A,cartesian_product2(B,B))))) # label(t16_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 186 (all A all B all C (in(B,C) & in(A,C) <-> subset(unordered_pair(A,B),C))) # label(t38_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 187 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,powerset(the_carrier(A))) -> ((all D (in(D,the_carrier(A)) -> ((all E (element(E,powerset(the_carrier(A))) -> -(in(D,E) & disjoint(B,E) & open_subset(E,A)))) <-> in(D,C)))) <-> topstr_closure(A,B) = C))))))) # label(d13_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 188 (all A (rel_str(A) -> (all B ((exists C (element(C,the_carrier(A)) & relstr_set_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_set_smaller(A,B,D) -> related(A,C,D)))) & (all D (element(D,the_carrier(A)) -> (relstr_set_smaller(A,B,D) & (all E (element(E,the_carrier(A)) -> (relstr_set_smaller(A,B,E) -> related(A,D,E)))) -> C = D))))) <-> ex_sup_of_relstr_set(A,B))))) # label(d7_yellow_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 189 (all A all B (-(-disjoint(A,B) & (all C -(in(C,A) & in(C,B)))) & -((exists C (in(C,B) & in(C,A))) & disjoint(A,B)))) # label(t3_xboole_0) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 190 (all A all B (finite(A) -> finite(set_difference(A,B)))) # label(fc12_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 191 (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(E,A) & in(apply(D,E),C) <-> in(E,relation_inverse_image(D,C))))))) # label(t46_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 192 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 193 (all A all B (element(B,the_carrier(boole_lattice(A))) -> (all C (element(C,the_carrier(boole_lattice(A))) -> (below(boole_lattice(A),B,C) <-> subset(B,C)))))) # label(t2_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 194 (all A all B (subset(A,B) <-> set_difference(A,B) = empty_set)) # label(l32_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 195 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 196 (all A all B (in(A,B) -> subset(A,union(B)))) # label(t92_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 197 (all A all B all C all D (function(D) & relation_of2_as_subset(D,A,B) & quasi_total(D,A,B) -> (in(C,A) -> in(apply(D,C),relation_rng(D)) | empty_set = B))) # label(t6_funct_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 198 (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)) & transitive_relstr(rel_str_of(A,B)) & antisymmetric_relstr(rel_str_of(A,B)) & reflexive_relstr(rel_str_of(A,B)))) # label(fc3_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 199 (all A exists B ((all C (in(C,A) -> singleton(C) = apply(B,C))) & relation_dom(B) = A & function(B) & relation(B))) # label(s3_funct_1__e16_22__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 200 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 201 (all A all B ((A != empty_set -> (B = set_meet(A) <-> (all C ((all D (in(D,A) -> in(C,D))) <-> in(C,B))))) & (empty_set = A -> (B = empty_set <-> B = set_meet(A))))) # label(d1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 202 (all A (top_str(A) -> ((all B (element(B,powerset(powerset(the_carrier(A)))) -> -(is_a_cover_of_carrier(A,B) & 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))))))) <-> compact_top_space(A)))) # label(d3_compts_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 203 (all A (one_sorted_str(A) -> (empty(the_carrier(A)) <-> empty_carrier(A)))) # label(d1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 204 (all A (finite(A) -> (all B (element(B,powerset(powerset(A))) -> -(B != empty_set & (all C -(in(C,B) & (all D (in(D,B) & subset(C,D) -> C = D))))))))) # label(t18_finset_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 205 (all A all B (v4_membered(A) -> v2_membered(set_intersection2(B,A)) & v3_membered(set_intersection2(B,A)) & v4_membered(set_intersection2(B,A)) & v1_membered(set_intersection2(B,A)))) # label(fc34_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 206 (all A (rel_str(A) & antisymmetric_relstr(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (related(A,C,B) & related(A,B,C) -> C = B))))))) # label(t25_orders_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 207 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) & topological_space(A) -> (exists C (element(C,powerset(powerset(the_carrier(A)))) & (all D (element(D,powerset(the_carrier(A))) -> ((exists E (element(E,powerset(the_carrier(A))) & E = D & subset(B,D) & closed_subset(E,A))) <-> in(D,C)))))))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.88/2.86 208 (all A all B all C (-empty_carrier(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & join_semilatt_str(A) & join_commutative(A) -> join_commut(A,B,C) = join_commut(A,C,B))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.86 209 (all A (v4_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B) & v4_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 210 (all A all B (ordinal(B) -> (exists C all D (in(D,succ(B)) & (exists E (D = E & in(E,A) & ordinal(E))) <-> in(D,C))))) # label(s1_xboole_0__e8_6__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 211 (all A all B (v1_membered(A) -> v1_membered(set_intersection2(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 212 (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]. 1.88/2.87 213 (all A all B all C (quasi_total(B,cartesian_product2(A,A),A) & 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) & function(B) -> strict_latt_str(latt_str_of(A,B,C)) & latt_str(latt_str_of(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 214 (all A (relation(A) & function(A) -> function(function_inverse(A)) & relation(function_inverse(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 215 (all A (relation(A) -> ((all B all C (in(ordered_pair(B,C),A) & in(ordered_pair(C,B),A) -> B = C)) <-> antisymmetric(A)))) # label(l3_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 216 (all A (relation(A) & function(A) -> (all B all C ((all D (in(D,C) <-> in(D,relation_dom(A)) & in(apply(A,D),B))) <-> relation_inverse_image(A,B) = C)))) # label(d13_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 217 (all A all B all C (relation(B) & function(C) & relation(C) -> ((all D all E all F (E = D & (exists G exists H (in(ordered_pair(apply(C,G),apply(C,H)),B) & ordered_pair(G,H) = E)) & F = D & (exists I exists J (in(ordered_pair(apply(C,I),apply(C,J)),B) & ordered_pair(I,J) = F)) -> F = E)) -> (exists D all E (in(E,D) <-> (exists F ((exists K exists L (ordered_pair(K,L) = E & in(ordered_pair(apply(C,K),apply(C,L)),B))) & F = E & in(F,cartesian_product2(A,A))))))))) # label(s1_tarski__e6_21__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 218 (all A all B (finite(A) -> finite(set_intersection2(A,B)))) # label(fc11_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 219 (all A all B (element(B,powerset(powerset(A))) -> (all C (element(C,powerset(powerset(A))) -> ((all D (element(D,powerset(A)) -> (in(D,C) <-> in(subset_complement(A,D),B)))) <-> C = complements_of_subsets(A,B)))))) # label(d8_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 220 (all A all B (empty_set = set_difference(A,B) <-> subset(A,B))) # label(t37_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 221 (all A (latt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C ((all D (element(D,the_carrier(A)) -> (in(D,C) -> below(A,D,B)))) <-> latt_element_smaller(A,B,C))))))) # label(d17_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 222 (all A all B all C all D all E all F (-empty(A) & -empty(B) & quasi_total(D,cartesian_product2(A,B),C) & element(E,A) & element(F,B) & relation_of2(D,cartesian_product2(A,B),C) & function(D) -> apply_binary_as_element(A,B,C,D,E,F) = apply_binary(D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 223 (all A (relation(A) -> (all B (relation_dom(A) = B <-> (all C ((exists D in(ordered_pair(C,D),A)) <-> in(C,B))))))) # label(d4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 224 (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]. 1.88/2.87 225 (all A all B (relation(B) -> subset(relation_rng(relation_rng_restriction(A,B)),A))) # label(t116_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 226 (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,D,C)))) <-> relstr_set_smaller(A,B,C)))))) # label(d9_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 227 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 228 (all A all B (element(B,powerset(powerset(A))) -> -(empty_set = complements_of_subsets(A,B) & empty_set != B) & -(B = empty_set & empty_set != complements_of_subsets(A,B)))) # label(t10_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 229 (all A (omega = A <-> in(empty_set,A) & being_limit_ordinal(A) & (all B (ordinal(B) -> (in(empty_set,B) & being_limit_ordinal(B) -> subset(A,B)))) & ordinal(A))) # label(d5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 230 (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]. 1.88/2.87 231 (all A all B all C -(in(A,B) & in(C,A) & in(B,C))) # label(t3_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 232 (all A all B subset(set_difference(A,B),A)) # label(t36_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 233 (all A (-empty(A) -> (exists B (-empty(B) & element(B,powerset(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 234 (all A all B all C all D all E all F (function(D) & element(F,B) & element(E,A) & relation_of2(D,cartesian_product2(A,B),C) & quasi_total(D,cartesian_product2(A,B),C) & -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]. 1.88/2.87 235 (all A all B (relation(B) & -empty(A) -> ((all C all D all E (in(C,A) & in(C,A) & (exists H (in(E,H) & (all I (in(I,H) -> in(ordered_pair(E,I),B))) & H = C)) & (exists F (F = C & in(D,F) & (all G (in(G,F) -> in(ordered_pair(D,G),B))))) -> 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]. 1.88/2.87 236 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 237 (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]. 1.88/2.87 238 (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 (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)) <-> in(E,D))))) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 239 (all A all B all C all D (-empty(A) & -empty(B) & element(D,B) & element(C,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]. 1.88/2.87 240 (exists A (-empty(A) & relation(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 241 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 242 (all A (reflexive_relstr(A) & rel_str(A) & antisymmetric_relstr(A) & transitive_relstr(A) -> relation(the_InternalRel(A)) & v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)) & transitive(the_InternalRel(A)) & antisymmetric(the_InternalRel(A)) & reflexive(the_InternalRel(A)))) # label(fc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 243 (all A (relation(A) -> (all 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))) <-> is_connected_in(A,B))))) # label(d6_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 244 (all A subset(empty_set,A)) # label(t2_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 245 (exists A (relation(A) & function(A) & empty(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 246 (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]. 1.88/2.87 247 (all A ((all B (in(B,A) -> subset(B,A))) <-> epsilon_transitive(A))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 248 (all A all B (finite(B) -> finite(set_intersection2(A,B)))) # label(fc10_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 249 (all A (rel_str(A) -> one_sorted_str(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 250 (all A (relation(A) -> relation_dom(A) = relation_rng(relation_inverse(A)) & relation_rng(A) = relation_dom(relation_inverse(A)))) # label(t37_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 251 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> relation(relation_of_lattice(A)))) # label(dt_k9_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 252 (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]. 1.88/2.87 253 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 254 (all A (ordinal(A) -> (exists B all C (in(C,succ(A)) & (exists D ((in(D,omega) -> (all E (element(E,powerset(powerset(D))) -> -((all F -((all G (in(G,E) & subset(F,G) -> F = G)) & in(F,E))) & empty_set != E)))) & D = C & ordinal(D))) <-> in(C,B))))) # label(s1_xboole_0__e18_27__finset_1__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 255 (all A all B all C (relation(C) -> (in(A,relation_dom(relation_dom_restriction(C,B))) <-> in(A,B) & in(A,relation_dom(C))))) # label(t86_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 256 (all A all B (element(B,A) -> (B != union(A) <-> proper_element(B,A)))) # label(d2_tex_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 257 (all A all B (relation(B) -> subset(relation_field(relation_restriction(B,A)),relation_field(B)) & subset(relation_field(relation_restriction(B,A)),A))) # label(t20_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 258 (all A (v1_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 259 (all A all B (-empty(A) -> -empty(set_union2(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 260 (all A (rel_str(A) -> (strict_rel_str(A) -> rel_str_of(the_carrier(A),the_InternalRel(A)) = A))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 261 (all A all B (strict_latt_str(B) & latt_str(B) -> (B = boole_lattice(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) & subset_intersection2(A,C,D) = apply_binary(the_L_meet(B),C,D))))) & powerset(A) = the_carrier(B)))) # label(d1_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 262 (all A (meet_absorbing(A) & latt_str(A) & meet_commutative(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> below(A,meet_commut(A,B,C),B))))))) # label(t23_lattices) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 263 (all A (relation(A) -> (reflexive(A) <-> is_reflexive_in(A,relation_field(A))))) # label(d9_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 264 (all A (relation(A) -> (all B all C (fiber(A,B) = C <-> (all D (in(D,C) <-> D != B & in(ordered_pair(D,B),A))))))) # label(d1_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 265 (exists A (relation(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & empty(A) & one_to_one(A) & function(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 266 (all A (one_sorted_str(A) -> identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)))) # label(d11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 267 (all A (one_sorted_str(A) & -empty_carrier(A) -> (exists B (element(B,powerset(the_carrier(A))) & -empty(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 268 (all A all B all C (latt_str(B) & -empty_carrier(B) -> ((exists D (D = A & latt_set_smaller(B,D,C) & element(D,the_carrier(B)))) <-> in(A,a_2_2_lattice3(B,C))))) # label(fraenkel_a_2_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 269 (all A all B all C all D (in(B,D) & in(A,C) <-> in(ordered_pair(A,B),cartesian_product2(C,D)))) # label(l55_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 270 (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]. 1.88/2.87 271 (all A (relation(A) -> (all B (B = relation_rng(A) <-> (all C ((exists D in(ordered_pair(D,C),A)) <-> in(C,B))))))) # label(d5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 272 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 273 (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]. 1.88/2.87 274 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E ((all G (element(G,powerset(the_carrier(A))) -> (G = C -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (F = C -> subset_complement(the_carrier(A),F) = D))) & in(C,complements_of_subsets(the_carrier(A),B)) -> E = D)) & (all C -(in(C,complements_of_subsets(the_carrier(A),B)) & (all D -(all H (element(H,powerset(the_carrier(A))) -> (H = C -> subset_complement(the_carrier(A),H) = D)))))) -> (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]. 1.88/2.87 275 (all A all B (relation(B) & function(B) -> relation(relation_rng_restriction(A,B)) & function(relation_rng_restriction(A,B)))) # label(fc5_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 276 (all A exists B all C (ordinal(C) & in(C,A) <-> in(C,B))) # label(s1_xboole_0__e6_22__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 277 (exists A top_str(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 278 (all A (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) # label(non_clause). [assumption]. 1.88/2.87 279 (all A all B (lattice(B) & latt_str(B) & -empty_carrier(B) -> (all C (element(C,the_carrier(poset_of_lattice(B))) -> (relstr_set_smaller(poset_of_lattice(B),A,C) <-> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A)))))) # label(t31_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 280 (all A ((all B (in(B,A) -> ordinal(B) & subset(B,A))) -> ordinal(A))) # label(t31_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 281 (all A (topological_space(A) & top_str(A) -> (exists B (open_subset(B,A) & element(B,powerset(the_carrier(A))))))) # label(rc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 282 (all A (relation(A) & function(A) -> (one_to_one(A) -> one_to_one(function_inverse(A))))) # label(t62_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 283 (all A all B (top_str(A) & element(B,powerset(powerset(the_carrier(A)))) & topological_space(A) -> (exists C all D (in(set_difference(cast_as_carrier_subset(A),D),B) & in(D,powerset(the_carrier(A))) <-> in(D,C))))) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 284 (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]. 1.88/2.87 285 (all A all B (v5_membered(A) -> v1_membered(set_difference(A,B)) & v3_membered(set_difference(A,B)) & v4_membered(set_difference(A,B)) & v5_membered(set_difference(A,B)) & v2_membered(set_difference(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 286 (all A (-empty_carrier(A) & lattice(A) & complete_latt_str(A) & latt_str(A) -> -empty_carrier(A) & join_of_latt_set(A,empty_set) = bottom_of_semilattstr(A) & latt_str(A) & lower_bounded_semilattstr(A) & lattice(A))) # label(t50_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 287 (all A (rel_str(A) -> (antisymmetric_relstr(A) <-> is_antisymmetric_in(the_InternalRel(A),the_carrier(A))))) # label(d6_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 288 (all A all B all C all D (in(ordered_pair(A,B),cartesian_product2(C,D)) <-> in(A,C) & in(B,D))) # label(t106_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 289 (all A all B (relation(A) -> relation(relation_dom_restriction(A,B)))) # label(dt_k7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 290 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(C) -> (in(apply(C,A),relation_dom(B)) & in(A,relation_dom(C)) <-> in(A,relation_dom(relation_composition(C,B)))))))) # label(t21_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 291 (all A all B (relation(B) -> relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B))) # label(t94_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 292 (all A (meet_semilatt_str(A) & -empty_carrier(A) -> (lower_bounded_semilattstr(A) -> (all B (element(B,the_carrier(A)) -> (bottom_of_semilattstr(A) = B <-> (all C (element(C,the_carrier(A)) -> meet(A,B,C) = B & B = meet(A,C,B))))))))) # label(d16_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 293 (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]. 1.88/2.87 294 (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]. 1.88/2.87 295 (all A (one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (finite(complements_of_subsets(the_carrier(A),B)) <-> finite(B)))))) # label(t13_tops_2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.87 296 (all A all B ((all C all D all E (C = E & (exists H exists I (ordered_pair(H,I) = E & in(H,A) & I = singleton(H))) & (exists F exists G (D = ordered_pair(F,G) & in(F,A) & G = singleton(F))) & D = C -> E = D)) -> (exists C all D (in(D,C) <-> (exists E (in(E,cartesian_product2(A,B)) & D = E & (exists J exists K (D = ordered_pair(J,K) & K = singleton(J) & in(J,A))))))))) # label(s1_tarski__e16_22__wellord2__2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 297 (all A all B (ordinal(B) -> ((all C all D all E ((exists F (D = F & in(F,A) & ordinal(F))) & (exists G (ordinal(G) & in(G,A) & G = E)) & E = C & D = C -> E = D)) -> (exists C all D (in(D,C) <-> (exists E ((exists H (H = D & in(H,A) & ordinal(H))) & D = E & in(E,succ(B))))))))) # label(s1_tarski__e8_6__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 298 (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]. 1.88/2.87 299 (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]. 1.88/2.87 300 (all A all B -proper_subset(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 301 (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]. 1.88/2.87 302 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> open_subset(interior(A,B),A))) # label(fc6_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.87 303 (all A all B A = set_intersection2(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 304 (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]. 1.88/2.88 305 (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]. 1.88/2.88 306 (all A all B (relation(B) -> (B = inclusion_relation(A) <-> (all C all D (in(D,A) & in(C,A) -> (subset(C,D) <-> in(ordered_pair(C,D),B)))) & A = relation_field(B)))) # label(d1_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 307 (all A all B (v2_membered(A) -> v1_membered(set_intersection2(B,A)) & v2_membered(set_intersection2(B,A)))) # label(fc30_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 308 (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]. 1.88/2.88 309 (all A all B all C (relation(C) & function(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]. 1.88/2.88 310 (all A all B (empty(A) & relation(B) -> empty(relation_composition(A,B)) & relation(relation_composition(A,B)))) # label(fc9_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 311 (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 ((all L (element(L,powerset(the_carrier(A))) -> (L = J -> K = subset_complement(the_carrier(A),L)))) & in(J,B) & ordered_pair(J,K) = F)) & (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 -> E = F)) -> (exists D all E (in(E,D) <-> (exists F ((exists M exists N (in(M,B) & (all O (element(O,powerset(the_carrier(A))) -> (M = O -> N = subset_complement(the_carrier(A),O)))) & E = ordered_pair(M,N))) & F = E & in(F,cartesian_product2(B,C)))))))))) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 312 (all A all B (element(B,powerset(powerset(A))) -> -(B != empty_set & complements_of_subsets(A,B) = empty_set))) # label(t46_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 313 (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]. 1.88/2.88 314 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> element(subset_union2(A,B,C),powerset(A)))) # label(dt_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 315 (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]. 1.88/2.88 316 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> element(subset_difference(A,B,C),powerset(A)))) # label(dt_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 317 (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]. 1.88/2.88 318 (all A all B all C (function(B) & 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) & -empty(A) -> strict_latt_str(latt_str_of(A,B,C)) & -empty_carrier(latt_str_of(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 319 (all A (-empty_carrier(A) & meet_semilatt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C) = meet(A,B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 320 (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]. 1.88/2.88 321 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 322 (exists A (rel_str(A) & antisymmetric_relstr(A) & transitive_relstr(A) & reflexive_relstr(A) & strict_rel_str(A) & -empty_carrier(A))) # label(rc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 323 (all A relation(inclusion_relation(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 324 (all A all B (subset(A,singleton(B)) <-> A = empty_set | singleton(B) = A)) # label(t39_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 325 (all A all B set_union2(A,B) = set_union2(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 326 (all A (relation(A) -> A = relation_inverse(relation_inverse(A)))) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 327 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> (exists C all D ((exists E (closed_subset(E,A) & subset(B,D) & D = E & element(E,powerset(the_carrier(A))))) & in(D,powerset(the_carrier(A))) <-> in(D,C))))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 328 (exists A join_semilatt_str(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 329 (all A ((exists B (in(B,A) & ordinal(B))) -> (exists B (ordinal(B) & in(B,A) & (all C (ordinal(C) -> (in(C,A) -> ordinal_subset(B,C)))))))) # label(s1_ordinal1__e8_6__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 330 (all A (centered(A) <-> empty_set != A & (all B -(empty_set != B & subset(B,A) & set_meet(B) = empty_set & finite(B))))) # label(d2_compts_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 331 (all A all B (relation(B) & function(B) -> ((all C (in(C,A) -> apply(B,C) = C)) & A = relation_dom(B) <-> B = identity_relation(A)))) # label(t34_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 332 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 333 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 334 (exists A (-empty(A) & epsilon_transitive(A) & ordinal(A) & epsilon_connected(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 335 (all A all B set_difference(A,set_difference(A,B)) = set_intersection2(A,B)) # label(t48_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 336 (all A all B (in(A,B) -> B = set_union2(singleton(A),B))) # label(t46_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 337 (all A all B (relation(A) & finite(B) & function(A) -> finite(relation_image(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 338 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 339 (all A (relation(A) & function(A) -> (one_to_one(A) -> (all B (function(B) & relation(B) -> (relation_rng(A) = relation_dom(B) & (all C all D ((in(C,relation_rng(A)) & D = apply(B,C) -> in(D,relation_dom(A)) & C = apply(A,D)) & (in(D,relation_dom(A)) & apply(A,D) = C -> D = apply(B,C) & in(C,relation_rng(A))))) <-> function_inverse(A) = B)))))) # label(t54_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.88 340 (all A all B (-empty_carrier(A) & -empty_carrier(B) & latt_str(B) & latt_str(A) -> strict_latt_str(k8_filter_1(A,B)) & latt_str(k8_filter_1(A,B)))) # label(dt_k8_filter_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 341 (exists A (epsilon_transitive(A) & ordinal(A) & epsilon_connected(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.88 342 (all A all B (element(B,powerset(powerset(the_carrier(A)))) & one_sorted_str(A) -> ((all C all D all E (in(C,B) & (all G (element(G,powerset(the_carrier(A))) -> (C = G -> subset_complement(the_carrier(A),G) = E))) & in(C,B) & (all F (element(F,powerset(the_carrier(A))) -> (C = F -> D = subset_complement(the_carrier(A),F)))) -> E = D)) -> (exists C all D (in(D,C) <-> (exists E (in(E,B) & (all H (element(H,powerset(the_carrier(A))) -> (H = E -> subset_complement(the_carrier(A),H) = D))) & in(E,B)))))))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 343 (all A exists B (relation(B) & transitive(B) & v1_partfun1(B,A,A) & antisymmetric(B) & symmetric(B) & reflexive(B) & relation_of2(B,A,A))) # label(rc3_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 344 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 345 (all A (v3_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_rat_1(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 346 (all A all B all C (latt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & join_absorbing(A) & meet_absorbing(A) & meet_commutative(A) & -empty_carrier(A) -> below_refl(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 347 (all A all B all C (element(B,the_carrier(A)) & element(C,the_carrier(A)) & rel_str(A) & reflexive_relstr(A) & -empty_carrier(A) -> related_reflexive(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 348 (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]. 1.88/2.89 349 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 350 (all A all B (relation(A) & relation(B) -> relation(set_union2(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 351 (all A (relation(A) -> subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))) # label(t21_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 352 (all A (-empty_carrier(A) & complete_latt_str(A) & latt_str(A) & lattice(A) -> (all B (element(B,the_carrier(A)) -> (all C (B = meet_of_latt_set(A,C) <-> (all D (element(D,the_carrier(A)) -> (latt_set_smaller(A,D,C) -> below_refl(A,D,B)))) & latt_set_smaller(A,B,C))))))) # label(t34_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 353 (exists A (function(A) & one_to_one(A) & empty(A) & relation(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 354 (all A all B ((all C (in(C,B) <-> C = A)) <-> B = singleton(A))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 355 (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]. 1.88/2.89 356 (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]. 1.88/2.89 357 (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]. 1.88/2.89 358 (all A all B (ordinal(A) & element(B,powerset(powerset(succ(A)))) -> ((all C all D all E (D = C & C = E & (exists G (E = set_difference(G,singleton(A)) & in(G,B))) & (exists F (in(F,B) & D = set_difference(F,singleton(A)))) -> D = E)) -> (exists C all D (in(D,C) <-> (exists E (in(E,powerset(A)) & (exists H (in(H,B) & set_difference(H,singleton(A)) = D)) & E = D))))))) # label(s1_tarski__e4_27_3_1__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 359 (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))) -> (in(B,interior(A,C)) <-> point_neighbourhood(C,A,B)))))))) # label(d1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 360 (all A all B (-empty(A) & relation(B) -> ((all C -((all D -(exists J (in(D,J) & (all K (in(K,J) -> in(ordered_pair(D,K),B))) & C = J))) & in(C,A))) & (all C all D all E (in(C,A) & (exists H (in(E,H) & (all I (in(I,H) -> in(ordered_pair(E,I),B))) & C = H)) & (exists F (C = F & (all G (in(G,F) -> in(ordered_pair(D,G),B))) & in(D,F))) -> D = E)) -> (exists C ((all D (in(D,A) -> (exists L (in(apply(C,D),L) & (all M (in(M,L) -> in(ordered_pair(apply(C,D),M),B))) & D = L)))) & A = relation_dom(C) & function(C) & relation(C)))))) # label(s2_funct_1__e10_24__wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 361 (all A (join_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 362 (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]. 1.88/2.89 363 (all A (relation(A) -> relation(relation_inverse(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 364 (all A all B (v4_membered(A) -> v1_membered(set_intersection2(A,B)) & v3_membered(set_intersection2(A,B)) & v4_membered(set_intersection2(A,B)) & v2_membered(set_intersection2(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 365 (all A (lattice(A) & latt_str(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]. 1.88/2.89 366 (all A all B (relation_of2(B,A,A) -> (function(B) & quasi_total(B,A,A) & reflexive(B) & v1_partfun1(B,A,A) -> function(B) & quasi_total(B,A,A) & onto(B,A,A) & bijective(B,A,A) & one_to_one(B)))) # label(cc4_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 367 (all A (-empty_carrier(A) & lattice(A) & latt_str(A) -> reflexive(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)) & transitive(k2_lattice3(A)) & antisymmetric(k2_lattice3(A)))) # label(dt_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 368 (all A all B (relation(B) -> (reflexive(B) -> reflexive(relation_restriction(B,A))))) # label(t22_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 369 (all A (relation(A) -> (antisymmetric(A) <-> is_antisymmetric_in(A,relation_field(A))))) # label(d12_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 370 (all A (empty(A) -> v1_membered(A) & v2_membered(A) & v3_membered(A) & v5_membered(A) & v4_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 371 (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))) -> (C = F -> subset_complement(the_carrier(A),F) = D))) & in(C,complements_of_subsets(the_carrier(A),B)) & (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)) -> D = E)) -> (exists C all D ((exists E ((all H (element(H,powerset(the_carrier(A))) -> (H = E -> D = subset_complement(the_carrier(A),H)))) & in(E,complements_of_subsets(the_carrier(A),B)) & in(E,complements_of_subsets(the_carrier(A),B)))) <-> in(D,C)))))) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 372 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 373 (all A all B (topological_space(A) & element(B,powerset(the_carrier(A))) & top_str(A) -> ((all C all D all E ((exists F (element(F,powerset(the_carrier(A))) & subset(B,D) & closed_subset(F,A) & F = D)) & E = C & (exists G (element(G,powerset(the_carrier(A))) & G = E & closed_subset(G,A) & subset(B,E))) & C = D -> D = E)) -> (exists C all D ((exists E (in(E,powerset(the_carrier(A))) & (exists H (element(H,powerset(the_carrier(A))) & H = D & closed_subset(H,A) & subset(B,D))) & D = E)) <-> in(D,C)))))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 374 (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]. 1.88/2.89 375 (all A all B set_difference(set_union2(A,B),B) = set_difference(A,B)) # label(t40_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 376 (all A all B subset(A,set_union2(A,B))) # label(t7_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 377 (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]. 1.88/2.89 378 (all A (one_sorted_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (is_a_cover_of_carrier(A,B) <-> cast_as_carrier_subset(A) = union_of_subsets(the_carrier(A),B)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 379 (all A all B (relation(B) -> (well_ordering(B) -> well_ordering(relation_restriction(B,A))))) # label(t32_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 380 (all A (ordinal(A) -> connected(inclusion_relation(A)))) # label(t4_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 381 (all A all B (v2_membered(A) -> v2_membered(set_difference(A,B)) & v1_membered(set_difference(A,B)))) # label(fc38_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 382 (all A (join_semilatt_str(A) & -empty_carrier(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (C = join(A,B,C) <-> below(A,B,C)))))))) # label(d3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 383 (all A (ordinal(A) -> -((exists B (ordinal(B) & A = succ(B))) & being_limit_ordinal(A)) & -((all B (ordinal(B) -> A != succ(B))) & -being_limit_ordinal(A)))) # label(t42_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 384 (all A (one_sorted_str(A) -> empty_carrier_subset(A) = empty_set)) # label(d2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 385 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_isomorphism(A,B,C) -> (connected(A) -> connected(B)) & (antisymmetric(A) -> antisymmetric(B)) & (well_founded_relation(A) -> well_founded_relation(B)) & (transitive(A) -> transitive(B)) & (reflexive(A) -> reflexive(B))))))))) # label(t53_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 386 (all A all B (relation(B) -> -(equipotent(A,relation_field(B)) & (all C (relation(C) -> -well_orders(C,A))) & well_ordering(B)))) # label(l30_wellord2) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 387 (all A all B all C all D (-empty(A) & element(D,B) & element(C,A) & -empty(B) -> ordered_pair_as_product_element(A,B,C,D) = ordered_pair(C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 388 (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]. 1.88/2.89 389 (all A all B all C (element(C,powerset(A)) & element(B,powerset(A)) -> subset_union2(A,B,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 390 (all A all B all C (function(C) & relation(C) -> (in(B,relation_dom(C)) & in(B,A) <-> in(B,relation_dom(relation_dom_restriction(C,A)))))) # label(l82_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 391 (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]. 1.88/2.89 392 (all A all B (ordinal(B) -> (in(A,B) -> ordinal(A)))) # label(t23_ordinal1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 393 (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]. 1.88/2.89 394 (exists A (latt_str(A) & strict_latt_str(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 395 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> (exists C ((all D (element(D,powerset(the_carrier(A))) -> (in(set_difference(cast_as_carrier_subset(A),D),B) <-> in(D,C)))) & element(C,powerset(powerset(the_carrier(A)))))))) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 396 (all A (empty(A) -> empty(relation_rng(A)) & relation(relation_rng(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 397 (all A all B all C (join_commutative(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & join_semilatt_str(A) & -empty_carrier(A) -> element(join_commut(A,B,C),the_carrier(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 398 (all A (latt_str(A) -> (join_associative(A) & meet_commutative(A) & meet_absorbing(A) & join_absorbing(A) & meet_associative(A) & join_commutative(A) & -empty_carrier(A) -> -empty_carrier(A) & lattice(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 399 (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]. 1.88/2.89 400 (all A all B (relation(B) -> relation_image(B,set_intersection2(relation_dom(B),A)) = relation_image(B,A))) # label(t145_relat_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 401 (all A all B (set_intersection2(A,B) = empty_set <-> disjoint(A,B))) # label(d7_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 402 (all A (relation_of2_as_subset(identity_as_relation_of(A),A,A) & v1_partfun1(identity_as_relation_of(A),A,A))) # label(dt_k6_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 403 (all A all B (element(B,powerset(powerset(A))) -> (B != empty_set -> subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) = union_of_subsets(A,complements_of_subsets(A,B))))) # label(t48_setfam_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 404 (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]. 1.88/2.89 405 (all A all B (top_str(A) & element(B,powerset(the_carrier(A))) -> element(interior(A,B),powerset(the_carrier(A))))) # label(dt_k1_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 406 (all A all B (relation(B) -> relation(relation_rng_restriction(A,B)))) # label(dt_k8_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 407 (all A all B (v1_membered(A) -> v1_membered(set_intersection2(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 408 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) & open_subset(B,A) -> closed_subset(subset_complement(the_carrier(A),B),A))) # label(fc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 409 (all A (antisymmetric_relstr(A) & rel_str(A) -> (all B (ex_sup_of_relstr_set(A,B) <-> (exists C (element(C,the_carrier(A)) & relstr_set_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_set_smaller(A,B,D) -> related(A,C,D)))))))))) # label(t15_yellow_0) # label(lemma) # label(non_clause). [assumption]. 1.88/2.89 410 (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]. 1.88/2.89 411 (all A all B (relation(B) & relation(A) -> relation(relation_composition(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.89 412 (all A all B (-empty(A) & relation(B) -> ((all C all D all E (in(C,A) & (exists H ((all I (in(I,H) -> in(ordered_pair(E,I),B))) & in(E,H) & H = C)) & in(C,A) & (exists F ((all G (in(G,F) -> in(ordered_pair(D,G),B))) & in(D,F) & F = C)) -> E = D)) -> (exists C (function(C) & (all D all E (in(D,A) & in(D,A) & (exists J ((all K (in(K,J) -> in(ordered_pair(E,K),B))) & in(E,J) & D = J)) <-> in(ordered_pair(D,E),C))) & relation(C)))))) # label(s1_funct_1__e10_24__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 413 (all A all B (finite(A) & finite(B) -> finite(set_union2(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 414 (all A all B (element(B,powerset(powerset(A))) -> meet_of_subsets(A,B) = set_meet(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 415 (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]. 1.88/2.90 416 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(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]. 1.88/2.90 417 (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]. 1.88/2.90 418 (all A (latt_str(A) -> (lattice(A) & -empty_carrier(A) -> -empty_carrier(A) & meet_commutative(A) & join_absorbing(A) & meet_absorbing(A) & meet_associative(A) & join_associative(A) & join_commutative(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 419 (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]. 1.88/2.90 420 (all A (empty_set != A -> (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]. 1.88/2.90 421 (all A (latt_str(A) -> meet_semilatt_str(A) & join_semilatt_str(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 422 (all A (top_str(A) -> one_sorted_str(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 423 (all A (meet_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 424 (all A all B (element(B,powerset(A)) -> set_difference(A,B) = subset_complement(A,B))) # label(d5_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 425 (all A ((exists B exists C A = ordered_pair(B,C)) -> (all B (pair_second(A) = B <-> (all C all D (A = ordered_pair(C,D) -> B = D)))))) # label(d2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 426 (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]. 1.88/2.90 427 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (relation_field(A) = relation_dom(C) & one_to_one(C) & (all D all E (in(E,relation_field(A)) & in(ordered_pair(apply(C,D),apply(C,E)),B) & in(D,relation_field(A)) <-> in(ordered_pair(D,E),A))) & relation_field(B) = relation_rng(C) <-> relation_isomorphism(A,B,C)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 428 (all A all B set_union2(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 429 (all A (rel_str(A) -> (all B (ex_inf_of_relstr_set(A,B) <-> (exists C ((all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) -> related(A,D,C)))) & (all D (element(D,the_carrier(A)) -> ((all E (element(E,the_carrier(A)) -> (relstr_element_smaller(A,B,E) -> related(A,E,D)))) & relstr_element_smaller(A,B,D) -> C = D))) & relstr_element_smaller(A,B,C) & element(C,the_carrier(A)))))))) # label(d8_yellow_0) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 430 (all A all B all C (lattice(B) & latt_str(B) & complete_latt_str(B) & -empty_carrier(B) -> ((exists D (element(D,the_carrier(B)) & A = D & latt_set_smaller(B,D,C))) <-> in(A,a_2_3_lattice3(B,C))))) # label(fraenkel_a_2_3_lattice3) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 431 (all A (relation(A) -> (all B (relation(B) -> (B = relation_inverse(A) <-> (all C all D (in(ordered_pair(C,D),B) <-> in(ordered_pair(D,C),A)))))))) # label(d7_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 432 (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]. 1.88/2.90 433 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 434 (all A (top_str(A) & topological_space(A) & -empty_carrier(A) -> ((all B (element(B,powerset(powerset(the_carrier(A)))) -> -(closed_subsets(B,A) & empty_set = meet_of_subsets(the_carrier(A),B) & centered(B)))) <-> compact_top_space(A)))) # label(t13_compts_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 435 (all A all B equipotent(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 436 (all A all B (function(B) & relation(B) -> (all C (function(C) & relation(C) -> (in(A,relation_dom(relation_composition(C,B))) -> apply(B,apply(C,A)) = apply(relation_composition(C,B),A)))))) # label(t22_funct_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 437 (all A all B (v1_membered(A) -> v1_membered(set_difference(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 438 (all A all B all C (element(B,powerset(powerset(A))) & relation(C) & function(C) -> ((all D all E all F (D = E & in(relation_image(C,E),B) & D = F & in(relation_image(C,F),B) -> F = E)) -> (exists D all E (in(E,D) <-> (exists F (F = E & in(relation_image(C,E),B) & in(F,powerset(relation_dom(C)))))))))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 439 (all A (function(identity_relation(A)) & reflexive(identity_relation(A)) & symmetric(identity_relation(A)) & transitive(identity_relation(A)) & antisymmetric(identity_relation(A)) & relation(identity_relation(A)))) # label(fc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 440 (all A all B all C (relation_of2(C,A,B) -> (function(C) & one_to_one(C) & onto(C,A,B) & quasi_total(C,A,B) -> quasi_total(C,A,B) & bijective(C,A,B) & function(C)))) # label(cc3_funct_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 441 (all A (relation(A) -> (all B (well_orders(A,B) <-> is_antisymmetric_in(A,B) & is_connected_in(A,B) & is_well_founded_in(A,B) & is_transitive_in(A,B) & is_reflexive_in(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 442 (all A (cup_closed(powerset(A)) & preboolean(powerset(A)) & diff_closed(powerset(A)) & -empty(powerset(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 443 (all A all B (element(B,powerset(the_carrier(A))) & top_str(A) -> element(topstr_closure(A,B),powerset(the_carrier(A))))) # label(dt_k6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 444 (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]. 1.88/2.90 445 (all A all B all C (relation(B) & function(C) & relation(C) -> (exists D all E (in(E,cartesian_product2(A,A)) & (exists F exists G (ordered_pair(F,G) = E & in(ordered_pair(apply(C,F),apply(C,G)),B))) <-> in(E,D))))) # label(s1_xboole_0__e6_21__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 446 (all A all B (-in(B,A) <-> A = set_difference(A,singleton(B)))) # label(t65_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 447 (all A (relation(A) -> (all B (is_antisymmetric_in(A,B) <-> (all C all D (in(D,B) & in(ordered_pair(D,C),A) & in(ordered_pair(C,D),A) & in(C,B) -> C = D)))))) # label(d4_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 448 (all A (v3_membered(A) -> (all B (element(B,powerset(A)) -> v3_membered(B) & v2_membered(B) & v1_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 449 (all A (v1_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 450 (all A (topological_space(A) & top_str(A) -> closed_subset(cast_as_carrier_subset(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 451 (all A (ordinal(A) -> ((all B all C all D ((exists E ((in(E,omega) -> (all F (element(F,powerset(powerset(E))) -> -(empty_set != F & (all G -((all H (in(H,F) & subset(G,H) -> G = H)) & in(G,F))))))) & E = C & ordinal(E))) & B = D & (exists I ((in(I,omega) -> (all J (element(J,powerset(powerset(I))) -> -((all K -(in(K,J) & (all L (subset(K,L) & in(L,J) -> K = L)))) & J != empty_set)))) & D = I & ordinal(I))) & B = C -> D = C)) -> (exists B all C ((exists D (D = C & (exists M (M = C & (in(M,omega) -> (all N (element(N,powerset(powerset(M))) -> -((all O -(in(O,N) & (all P (subset(O,P) & in(P,N) -> O = P)))) & N != empty_set)))) & ordinal(M))) & in(D,succ(A)))) <-> in(C,B)))))) # label(s1_tarski__e18_27__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 452 (all A all B all C (element(B,powerset(C)) & in(A,B) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 453 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 454 (all A all B (-empty_carrier(B) & lattice(B) & latt_str(B) -> (all C (element(C,the_carrier(poset_of_lattice(B))) -> (relstr_element_smaller(poset_of_lattice(B),A,C) <-> latt_set_smaller(B,cast_to_el_of_lattice(B,C),A)))))) # label(t29_lattice3) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 455 (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]. 1.88/2.90 456 (exists A latt_str(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 457 (all A all B all C (relation_of2(C,A,B) -> relation_rng(C) = relation_rng_as_subset(A,B,C))) # label(redefinition_k5_relset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 458 (all A all B (-empty_carrier(A) & top_str(A) & element(B,the_carrier(A)) & topological_space(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]. 1.88/2.90 459 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 460 (exists A (relation_empty_yielding(A) & relation(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 461 (all A all B (element(B,powerset(powerset(A))) -> complements_of_subsets(A,complements_of_subsets(A,B)) = B)) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 462 (all A (subset(A,empty_set) -> A = empty_set)) # label(t3_xboole_1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 463 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 464 (all A all B (-empty(B) & -empty(A) -> -empty(cartesian_product2(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 465 (all A (epsilon_connected(A) & epsilon_transitive(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 466 (all A all B (relation(B) -> (connected(B) -> connected(relation_restriction(B,A))))) # label(t23_wellord1) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 467 (all A ((all B all C -(in(B,A) & -in(B,C) & C != B & -in(C,B) & in(C,A))) <-> epsilon_connected(A))) # label(d3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 468 (all A all B (-(-disjoint(A,B) & (all C -in(C,set_intersection2(A,B)))) & -(disjoint(A,B) & (exists C in(C,set_intersection2(A,B)))))) # label(t4_xboole_0) # label(lemma) # label(non_clause). [assumption]. 1.88/2.90 469 (all A (relation(A) -> (is_transitive_in(A,relation_field(A)) <-> transitive(A)))) # label(d16_relat_2) # label(axiom) # label(non_clause). [assumption]. 1.88/2.90 470 (all A exists B (empty(B) & element(B,powerset(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 471 (exists A (-empty_carrier(A) & one_sorted_str(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 472 (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))) -> -(L != empty_set & (all M -((all N (in(N,L) & subset(M,N) -> M = N)) & in(M,L)))))))))) -> (in(D,omega) -> (all O (element(O,powerset(powerset(D))) -> -((all P -((all Q (subset(P,Q) & in(Q,O) -> Q = P)) & in(P,O))) & O != empty_set)))) | D = empty_set))) & (all D (ordinal(D) -> ((in(D,omega) -> (all E (element(E,powerset(powerset(D))) -> -(E != empty_set & (all F -((all G (subset(F,G) & in(G,E) -> F = G)) & in(F,E))))))) -> (in(succ(D),omega) -> (all H (element(H,powerset(powerset(succ(D)))) -> -((all I -(in(I,H) & (all J (in(J,H) & subset(I,J) -> J = I)))) & H != empty_set))))))) & (in(empty_set,omega) -> (all A (element(A,powerset(powerset(empty_set))) -> -(empty_set != A & (all B -(in(B,A) & (all C (subset(B,C) & in(C,A) -> C = B)))))))) -> (all D (ordinal(D) -> (in(D,omega) -> (all R (element(R,powerset(powerset(D))) -> -((all S -((all T (in(T,R) & subset(S,T) -> T = S)) & in(S,R))) & R != empty_set)))))) # label(s1_ordinal2__e18_27__finset_1) # label(lemma) # label(non_clause). [assumption]. 2.19/3.21 473 (all A all B (latt_str(A) & -empty_carrier(A) -> element(join_of_latt_set(A,B),the_carrier(A)))) # label(dt_k15_lattice3) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 474 (all A (ordinal(A) -> well_founded_relation(inclusion_relation(A)))) # label(t6_wellord2) # label(lemma) # label(non_clause). [assumption]. 2.19/3.21 475 (all A all B all C all D (quasi_total(C,A,B) & element(D,A) & relation_of2(C,A,B) & function(C) & -empty(A) -> apply_as_element(A,B,C,D) = apply(C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 476 (all A all B (relation(B) -> (well_orders(B,A) -> relation_field(relation_restriction(B,A)) = A & well_ordering(relation_restriction(B,A))))) # label(t25_wellord2) # label(lemma) # label(non_clause). [assumption]. 2.19/3.21 477 (all A (top_str(A) & topological_space(A) -> (exists B (open_subset(B,A) & closed_subset(B,A) & element(B,powerset(the_carrier(A))))))) # label(rc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 478 (all A all B exists C relation_of2_as_subset(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 479 (exists A (empty(A) & relation(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 480 (exists A (relation(A) & relation_empty_yielding(A) & function(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 481 (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]. 2.19/3.21 482 (all A all B (relation(B) -> subset(relation_dom_restriction(B,A),B))) # label(t88_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.19/3.21 483 (all A all B (relation(A) & function(A) -> relation(relation_dom_restriction(A,B)) & function(relation_dom_restriction(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 484 (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]. 2.19/3.21 485 (all A all B (-empty(B) -> (all C (relation_of2(C,A,B) -> (quasi_total(C,A,B) & function(C) -> quasi_total(C,A,B) & v1_partfun1(C,A,B) & function(C)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 486 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 487 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 2.19/3.21 488 (all A all B all C (function(C) & relation(C) -> (in(B,A) -> apply(C,B) = apply(relation_dom_restriction(C,A),B)))) # label(t72_funct_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 489 (all A all B (ordinal(B) -> -(subset(A,B) & (all C (ordinal(C) -> -((all D (ordinal(D) -> (in(D,A) -> ordinal_subset(C,D)))) & in(C,A)))) & A != empty_set))) # label(t32_ordinal1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 490 (all A ((all B all C all D (in(B,A) & singleton(B) = C & singleton(B) = D & in(B,A) -> D = C)) -> (exists B (function(B) & (all C all D (in(ordered_pair(C,D),B) <-> in(C,A) & D = singleton(C) & in(C,A))) & relation(B))))) # label(s1_funct_1__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 491 (all A (relation(A) -> (relation_rng(A) = empty_set | empty_set = relation_dom(A) -> A = empty_set))) # label(t64_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 492 (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]. 2.31/3.22 493 (all A (relation(A) -> (all B (relation(B) -> (all C (function(C) & relation(C) -> (well_ordering(A) & relation_isomorphism(A,B,C) -> well_ordering(B)))))))) # label(t54_wellord1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 494 (all A in(A,succ(A))) # label(t10_ordinal1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 495 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 496 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 497 (all A all B (-empty_carrier(B) & lattice(B) & latt_str(B) -> (all C (element(C,the_carrier(B)) -> (latt_set_smaller(B,C,A) <-> relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))) # label(t28_lattice3) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 498 (all A all B exists C relation_of2(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 499 (all A (one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> B = subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)))))) # label(t15_pre_topc) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 500 (all A all B (element(B,powerset(A)) -> (proper_element(B,powerset(A)) <-> B != A))) # label(t5_tex_2) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 501 (all A all B all C (meet_commutative(A) & join_absorbing(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & latt_str(A) & meet_absorbing(A) & -empty_carrier(A) -> (below(A,B,C) <-> below_refl(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 502 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 503 (all A (join_semilatt_str(A) & join_commutative(A) & -empty_carrier(A) -> relation(the_L_join(A)) & quasi_total(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)) & v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & function(the_L_join(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 504 (all A all B all C (relation_of2(B,cartesian_product2(A,A),A) & function(C) & relation_of2(C,cartesian_product2(A,A),A) & quasi_total(C,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) -> E = B & F = C & D = A)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 505 (all A (function(A) & relation(A) -> (one_to_one(A) <-> (all B all C (in(B,relation_dom(A)) & in(C,relation_dom(A)) & apply(A,C) = apply(A,B) -> B = C))))) # label(d8_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 506 (all A all B all C (relation(C) & function(C) -> (apply(C,A) = B & in(A,relation_dom(C)) <-> in(ordered_pair(A,B),C)))) # label(t8_funct_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 507 (all A all B (subset(A,B) -> set_intersection2(A,B) = A)) # label(t28_xboole_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 508 (all A (topological_space(A) & top_str(A) -> (all B (top_str(B) -> (all C (element(C,powerset(the_carrier(A))) -> (all D (element(D,powerset(the_carrier(B))) -> (open_subset(D,B) -> interior(B,D) = D) & (C = interior(A,C) -> open_subset(C,A)))))))))) # label(t55_tops_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 509 (all A all B (v5_membered(A) -> v4_membered(set_intersection2(B,A)) & v5_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]. 2.31/3.22 510 (all A all B all C all D (lattice(A) & element(C,the_carrier(A)) & element(D,the_carrier(B)) & latt_str(B) & lattice(B) & -empty_carrier(B) & latt_str(A) & -empty_carrier(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]. 2.31/3.22 511 (all A all B (relation_of2(B,A,A) -> (all C all D (rel_str_of(C,D) = rel_str_of(A,B) -> C = A & B = D)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 512 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 513 (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))) -> (closed_subset(D,A) & subset(B,D) -> in(C,D))))))))))) # label(t45_pre_topc) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 514 (all A (top_str(A) & topological_space(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]. 2.31/3.22 515 (all A all B -empty(unordered_pair(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 516 (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]. 2.31/3.22 517 (all A succ(A) = set_union2(A,singleton(A))) # label(d1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 518 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 519 (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]. 2.31/3.22 520 (all A (relation(A) -> (all B (relation(B) -> (all C (relation(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))) <-> C = relation_composition(A,B)))))))) # label(d8_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 521 (all A A = set_union2(A,empty_set)) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 522 (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))) -> (F = C -> D = subset_complement(the_carrier(A),F)))) & (all G (element(G,powerset(the_carrier(A))) -> (C = G -> subset_complement(the_carrier(A),G) = E))) & in(C,B) -> D = E)) -> (exists C ((all D all E (in(ordered_pair(D,E),C) <-> in(D,B) & (all H (element(H,powerset(the_carrier(A))) -> (D = H -> subset_complement(the_carrier(A),H) = E))) & in(D,B))) & function(C) & relation(C)))))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 523 (all A all B all C ((all D (in(D,A) | in(D,B) <-> in(D,C))) <-> C = set_union2(A,B))) # label(d2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 524 (all A reflexive(inclusion_relation(A))) # label(t2_wellord2) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 525 (all A (one_sorted_str(A) -> v5_membered(empty_carrier_subset(A)) & v4_membered(empty_carrier_subset(A)) & v3_membered(empty_carrier_subset(A)) & v2_membered(empty_carrier_subset(A)) & v1_membered(empty_carrier_subset(A)) & empty(empty_carrier_subset(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 526 (exists A (epsilon_connected(A) & ordinal(A) & natural(A) & epsilon_transitive(A) & -empty(A))) # label(rc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 527 (all A (join_semilatt_str(A) -> function(the_L_join(A)) & quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) & relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 528 (all A (rel_str(A) -> (all B (element(B,the_carrier(A)) -> relstr_set_smaller(A,empty_set,B) & relstr_element_smaller(A,empty_set,B))))) # label(t6_yellow_0) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 529 (all A (relation(A) -> ((all B all C -(in(C,relation_field(A)) & -in(ordered_pair(B,C),A) & -in(ordered_pair(C,B),A) & B != C & in(B,relation_field(A)))) <-> connected(A)))) # label(l4_wellord1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 530 (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]. 2.31/3.22 531 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 532 (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]. 2.31/3.22 533 (all A all B all C ((all D ((exists E exists F (in(E,A) & ordered_pair(E,F) = D & in(F,B))) <-> in(D,C))) <-> C = cartesian_product2(A,B))) # label(d2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 534 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 535 (all A (top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> interior(A,B) = subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))))))) # label(d1_tops_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 536 (all A all B (relation_of2(B,A,A) & -empty(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]. 2.31/3.22 537 (all A (ordinal(A) -> (all B (element(B,A) -> epsilon_transitive(B) & epsilon_connected(B) & ordinal(B))))) # label(cc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 538 (all A all B ((all C (in(C,B) <-> subset(C,A))) <-> B = powerset(A))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 539 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 540 (all A (relation(A) -> (all B ((all C all D all E (in(C,B) & in(D,B) & in(E,B) & in(ordered_pair(C,D),A) & in(ordered_pair(D,E),A) -> in(ordered_pair(C,E),A))) <-> is_transitive_in(A,B))))) # label(d8_relat_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 541 (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]. 2.31/3.22 542 (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]. 2.31/3.22 543 (all A (relation(A) -> (all B (relation(B) -> (subset(A,B) -> subset(relation_rng(A),relation_rng(B)) & subset(relation_dom(A),relation_dom(B))))))) # label(t25_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 544 (all A all B (equipotent(A,B) -> equipotent(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 545 (all A empty_set = set_difference(empty_set,A)) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 546 (all A (relation(A) & transitive(A) & symmetric(A) -> relation(A) & reflexive(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 547 (all A all B -(subset(A,B) & proper_subset(B,A))) # label(t60_xboole_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 548 (exists A meet_semilatt_str(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 549 (all A (relation(A) & -empty(A) -> -empty(relation_rng(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 550 (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]. 2.31/3.22 551 (all A (epsilon_connected(A) & epsilon_transitive(A) <-> ordinal(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 552 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 553 (all A A = set_difference(A,empty_set)) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 554 (all A all B (lattice(B) & latt_str(B) & -empty_carrier(B) -> (all C (element(C,the_carrier(B)) -> (relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) <-> latt_element_smaller(B,C,A)))))) # label(t30_lattice3) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 555 (all A (-empty_carrier(A) & one_sorted_str(A) -> (all B (element(B,the_carrier(A)) -> apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B)))) # label(t91_tmap_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 556 (all A (v4_membered(A) -> (all B (element(B,A) -> v1_rat_1(B) & v1_int_1(B) & v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 557 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 558 (all A all B (subset(A,B) -> set_union2(A,B) = B)) # label(t12_xboole_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 559 (all A all B all C all D (ordered_pair(C,D) = ordered_pair(A,B) -> B = D & C = A)) # label(t33_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 560 (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]. 2.31/3.22 561 (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]. 2.31/3.22 562 (all A (ordinal(A) -> (all B (ordinal(B) -> -(-in(B,A) & B != A & -in(A,B)))))) # label(t24_ordinal1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 563 (all A all B (relation(B) -> subset(relation_rng_restriction(A,B),B))) # label(t117_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 564 (all A (A = relation_dom(identity_relation(A)) & A = relation_rng(identity_relation(A)))) # label(t71_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 565 (all A all B (-empty_carrier(A) & lattice(A) & latt_str(A) & element(B,the_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]. 2.31/3.22 566 (all A all B (ordinal(A) & element(B,powerset(powerset(succ(A)))) -> (exists C all D ((exists E (in(E,B) & set_difference(E,singleton(A)) = D)) & in(D,powerset(A)) <-> in(D,C))))) # label(s1_xboole_0__e4_27_3_1__finset_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 567 (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]. 2.31/3.22 568 (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]. 2.31/3.22 569 (all A all B (relation(A) & function(A) & function(B) & relation(B) -> relation(relation_composition(A,B)) & function(relation_composition(A,B)))) # label(fc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 570 (all A (relation(A) -> (well_ordering(A) <-> well_orders(A,relation_field(A))))) # label(t8_wellord1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 571 (all A all B (relation(B) -> (transitive(B) -> transitive(relation_restriction(B,A))))) # label(t24_wellord1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 572 (all A (-empty_carrier(A) & one_sorted_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,the_carrier(A)) -> (in(C,subset_complement(the_carrier(A),B)) <-> -in(C,B)))))))) # label(l40_tops_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 573 (all A (-empty_carrier(boole_lattice(A)) & strict_latt_str(boole_lattice(A)))) # label(fc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 574 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 575 (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]. 2.31/3.22 576 (all A all B exists C (relation(C) & function(C) & quasi_total(C,A,B) & relation_of2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 577 (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]. 2.31/3.22 578 (all A (-empty_carrier(A) & lattice(A) & latt_str(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]. 2.31/3.22 579 (all A all B set_intersection2(B,A) = set_intersection2(A,B)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 580 (all A all B all C all D (subset(C,D) & subset(A,B) -> subset(cartesian_product2(A,C),cartesian_product2(B,D)))) # label(t119_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 581 (all A all B exists C all D (in(D,cartesian_product2(A,B)) & (exists E exists F (F = singleton(E) & in(E,A) & ordered_pair(E,F) = D)) <-> in(D,C))) # label(s1_xboole_0__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 582 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 583 (all A all B all C (subset(A,B) -> subset(cartesian_product2(A,C),cartesian_product2(B,C)) & subset(cartesian_product2(C,A),cartesian_product2(C,B)))) # label(t118_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 584 (all A all B subset(set_intersection2(A,B),A)) # label(t17_xboole_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 585 (all A ((all B -((all C singleton(B) != C) & in(B,A))) & (all B all C all D (D = singleton(B) & C = singleton(B) & in(B,A) -> C = D)) -> (exists B (relation_dom(B) = A & (all C (in(C,A) -> singleton(C) = apply(B,C))) & function(B) & relation(B))))) # label(s2_funct_1__e16_22__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 586 (all A (empty(A) -> ordinal(A) & epsilon_connected(A) & epsilon_transitive(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 587 (all A all B (singleton(B) = A | empty_set = A <-> subset(A,singleton(B)))) # label(l4_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 588 (all A all B all C (relation(B) & relation(C) & function(C) -> (exists D (relation(D) & (all E all F (in(ordered_pair(E,F),D) <-> in(E,A) & in(ordered_pair(apply(C,E),apply(C,F)),B) & in(F,A))))))) # label(s1_relat_1__e6_21__wellord2) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 589 (all A A = union(powerset(A))) # label(t99_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.22 590 (all A (top_str(A) -> (in(the_carrier(A),the_topology(A)) & (all B (element(B,powerset(the_carrier(A))) -> (all C (element(C,powerset(the_carrier(A))) -> (in(B,the_topology(A)) & in(C,the_topology(A)) -> in(subset_intersection2(the_carrier(A),B,C),the_topology(A))))))) & (all B (element(B,powerset(powerset(the_carrier(A)))) -> (subset(B,the_topology(A)) -> in(union_of_subsets(the_carrier(A),B),the_topology(A))))) <-> topological_space(A)))) # label(d1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 2.31/3.22 591 (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]. 2.31/3.23 592 (all A all B (relation(B) & -empty(A) -> (all C exists D all E (in(E,cartesian_product2(A,C)) & (exists F exists G (ordered_pair(F,G) = E & in(F,A) & (exists H (H = F & (all I (in(I,H) -> in(ordered_pair(G,I),B))) & in(G,H))))) <-> in(E,D))))) # label(s1_xboole_0__e10_24__wellord2__1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 593 (all A all B (relation(A) & relation(B) -> relation(set_intersection2(A,B)))) # label(fc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 594 (all A all B (relation(B) -> (all C (relation(C) -> (C = relation_rng_restriction(A,B) <-> (all D all E (in(ordered_pair(D,E),B) & in(E,A) <-> in(ordered_pair(D,E),C)))))))) # label(d12_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 595 (all A (v5_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & natural(B) & v1_rat_1(B) & v1_int_1(B) & v1_xreal_0(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 596 (all A all B all C (relation_of2_as_subset(C,B,A) -> (relation_dom_as_subset(B,A,C) = B <-> (all D -(in(D,B) & (all E -in(ordered_pair(D,E),C))))))) # label(t22_relset_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 597 (all A (relation(A) <-> (all B -(in(B,A) & (all C all D ordered_pair(C,D) != B))))) # label(d1_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 598 (all A (-empty(A) -> -((all B -(empty_set = B & in(B,A))) & (all B (function(B) & relation(B) -> -((all C (in(C,A) -> in(apply(B,C),C))) & relation_dom(B) = A)))))) # label(t28_wellord2) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 599 (exists A (relation(A) & one_to_one(A) & function(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 600 (all A (-empty_carrier(A) & one_sorted_str(A) -> -empty(the_carrier(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 601 (all A all B (in(A,B) -> subset(A,union(B)))) # label(l50_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 602 (all A all B (relation(B) -> subset(relation_image(B,A),relation_rng(B)))) # label(t144_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 603 (all A (relation(A) -> (relation_rng(A) = empty_set <-> relation_dom(A) = empty_set))) # label(t65_relat_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 604 (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]. 2.31/3.23 605 (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]. 2.31/3.23 606 (all A all B (relation(B) & function(B) -> (finite(A) -> finite(relation_image(B,A))))) # label(t17_finset_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 607 (all A all B ((all C (in(C,B) <-> (exists D (in(D,A) & in(C,D))))) <-> B = union(A))) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 608 (all A all B all C (relation_of2(C,A,B) -> (function(C) & v1_partfun1(C,A,B) -> function(C) & quasi_total(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 609 (all A all B set_union2(A,set_difference(B,A)) = set_union2(A,B)) # label(t39_xboole_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 610 (all A (empty(A) -> empty(relation_dom(A)) & relation(relation_dom(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 611 (all A all B (one_sorted_str(A) & element(B,powerset(powerset(the_carrier(A)))) -> (all C ((all D all E all F (D = E & F = D & (exists J exists K (F = ordered_pair(J,K) & (all L (element(L,powerset(the_carrier(A))) -> (J = L -> subset_complement(the_carrier(A),L) = K))) & in(J,complements_of_subsets(the_carrier(A),B)))) & (exists G exists H (E = ordered_pair(G,H) & (all I (element(I,powerset(the_carrier(A))) -> (I = G -> H = subset_complement(the_carrier(A),I)))) & in(G,complements_of_subsets(the_carrier(A),B)))) -> E = F)) -> (exists D all E (in(E,D) <-> (exists F ((exists M exists N (in(M,complements_of_subsets(the_carrier(A),B)) & (all O (element(O,powerset(the_carrier(A))) -> (M = O -> N = subset_complement(the_carrier(A),O)))) & E = ordered_pair(M,N))) & F = E & in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)))))))))) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 612 (all A (one_sorted_str(A) -> quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) & relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) & function(identity_on_carrier(A)))) # label(dt_k7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 613 (all A ((all B -in(B,A)) <-> empty_set = A)) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 614 (all A all B (subset(A,B) & finite(B) -> finite(A))) # label(t13_finset_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 615 (all A k1_pcomps_1(A) = powerset(A)) # label(redefinition_k1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 616 (all A (top_str(A) -> (all B (element(B,powerset(powerset(the_carrier(A)))) -> (open_subsets(B,A) <-> (all C (element(C,powerset(the_carrier(A))) -> (in(C,B) -> open_subset(C,A))))))))) # label(d1_tops_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 617 (all A exists B (-proper_element(B,powerset(A)) & element(B,powerset(A)))) # label(rc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 618 (all A all B all C (element(B,the_carrier(A)) & element(C,the_carrier(A)) & join_semilatt_str(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]. 2.31/3.23 619 (all A element(k1_pcomps_1(A),powerset(powerset(A)))) # label(dt_k1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 620 (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]. 2.31/3.23 621 (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]. 2.31/3.23 622 (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]. 2.31/3.23 623 (all A all B all C (element(B,powerset(A)) & element(C,powerset(A)) -> subset_union2(A,C,B) = subset_union2(A,B,C))) # label(commutativity_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 624 (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]. 2.31/3.23 625 (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]. 2.31/3.23 626 (all A unordered_pair(A,A) = singleton(A)) # label(t69_enumset1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 627 (all A all B all C (element(B,powerset(powerset(A))) & relation(C) & function(C) -> (exists D all E (in(relation_image(C,E),B) & in(E,powerset(relation_dom(C))) <-> in(E,D))))) # label(s1_xboole_0__e6_27__finset_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 628 (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]. 2.31/3.23 629 (all A empty_set != singleton(A)) # label(l1_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 630 (all A all B (in(A,B) -> set_union2(singleton(A),B) = B)) # label(l23_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 631 (all A all B (-in(A,B) -> disjoint(singleton(A),B))) # label(l28_zfmisc_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 632 (all A (-empty_carrier(A) & latt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C ((all D (element(D,the_carrier(A)) -> (in(D,C) -> below(A,B,D)))) <-> latt_set_smaller(A,B,C))))))) # label(d16_lattice3) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 633 (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)) & in(C,complements_of_subsets(the_carrier(A),B)) & (all G (element(G,powerset(the_carrier(A))) -> (C = G -> E = subset_complement(the_carrier(A),G)))) & (all F (element(F,powerset(the_carrier(A))) -> (C = F -> subset_complement(the_carrier(A),F) = D))) -> E = D)) -> (exists 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 -> E = subset_complement(the_carrier(A),H)))) & in(D,complements_of_subsets(the_carrier(A),B)))) & function(C) & relation(C)))))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 634 (all A all B (in(B,A) -> B = apply(identity_relation(A),B))) # label(t35_funct_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 635 (all A all B all C (-empty_carrier(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & meet_semilatt_str(A) & meet_commutative(A) -> element(meet_commut(A,B,C),the_carrier(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 636 (all A (ordinal(A) & natural(A) -> -empty(succ(A)) & epsilon_transitive(succ(A)) & natural(succ(A)) & ordinal(succ(A)) & epsilon_connected(succ(A)))) # label(fc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 637 (all A all B (disjoint(A,B) <-> set_difference(A,B) = A)) # label(t83_xboole_1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 638 (all A all B all C all D (quasi_total(D,A,B) & relation_of2_as_subset(D,A,B) & function(D) -> (subset(B,C) -> quasi_total(D,A,C) & relation_of2_as_subset(D,A,C) & function(D) | empty_set = B & empty_set != A))) # label(t9_funct_2) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 639 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 640 (exists A rel_str(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 641 (all A (relation(A) -> (well_founded_relation(A) <-> (all B -(B != empty_set & (all C -(disjoint(fiber(A,C),B) & in(C,B))) & subset(B,relation_field(A))))))) # label(d2_wellord1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 642 (all A (ordinal(A) -> epsilon_transitive(A) & epsilon_connected(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 643 (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]. 2.31/3.23 644 (all A (-empty(singleton(A)) & finite(singleton(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 645 (all A (function(A) <-> (all B all C all D (in(ordered_pair(B,C),A) & in(ordered_pair(B,D),A) -> D = C)))) # label(d1_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 646 (all A all B all C all D (D = unordered_triple(A,B,C) <-> (all E (-(E != A & E != C & B != E) <-> in(E,D))))) # label(d1_enumset1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 647 (all A (relation(A) -> (reflexive(A) <-> (all B (in(B,relation_field(A)) -> in(ordered_pair(B,B),A)))))) # label(l1_wellord1) # label(lemma) # label(non_clause). [assumption]. 2.31/3.23 648 (all A (relation(A) & function(A) -> (all B ((all C (in(C,B) <-> (exists D (in(D,relation_dom(A)) & apply(A,D) = C)))) <-> relation_rng(A) = B)))) # label(d5_funct_1) # label(axiom) # label(non_clause). [assumption]. 2.31/3.23 649 (all A (topological_space(A) & top_str(A) -> (all B (element(B,powerset(the_carrier(A))) -> (exists C (meet_of_subsets(the_carrier(A),C) = topstr_closure(A,B) & (all D (element(D,powerset(the_carrier(A))) -> (in(D,C) <-> subset(B,D) & closed_subset(D,A)))) & element(C,powerset(powerset(the_carrier(A)))))))))) # label(t46_pre_topc) # label(lemma) # label(non_clause). [assumption]. 2.41/3.34 650 (all A (-empty_carrier(A) & latt_str(A) -> (all B meet_of_latt_set(A,B) = join_of_latt_set(A,a_2_2_lattice3(A,B))))) # label(d22_lattice3) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 651 (all A all B (relation(B) & function(B) -> (all C (relation(C) & function(C) -> (B = relation_dom_restriction(C,A) <-> (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]. 2.41/3.34 652 (all A (relation(A) -> (is_connected_in(A,relation_field(A)) <-> connected(A)))) # label(d14_relat_2) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 653 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 654 (all A all B (-empty_carrier(A) & latt_str(A) -> element(meet_of_latt_set(A,B),the_carrier(A)))) # label(dt_k16_lattice3) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 655 (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]. 2.41/3.34 656 (all A all B all C (meet_semilatt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) & -empty_carrier(A) -> element(meet(A,B,C),the_carrier(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 657 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 658 (all A all B all C (unordered_pair(A,B) = C <-> (all D (in(D,C) <-> A = D | B = D)))) # label(d2_tarski) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 659 (all A all B all C (reflexive_relstr(A) & rel_str(A) & element(C,the_carrier(A)) & element(B,the_carrier(A)) & -empty_carrier(A) -> (related_reflexive(A,B,C) <-> related(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 660 (all A all B (relation(B) -> (B = identity_relation(A) <-> (all C all D (in(C,A) & C = D <-> in(ordered_pair(C,D),B)))))) # label(d10_relat_1) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 661 (all A (ordinal(A) -> epsilon_transitive(union(A)) & ordinal(union(A)) & epsilon_connected(union(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 662 (all A (A = union(A) <-> being_limit_ordinal(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 663 (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]. 2.41/3.34 664 (all A (one_sorted_str(A) -> cast_as_carrier_subset(A) = the_carrier(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 665 (all A (-empty_carrier(A) & latt_str(A) & lattice(A) -> (all B (element(B,the_carrier(A)) -> B = cast_to_el_of_LattPOSet(A,B))))) # label(d3_lattice3) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 666 (all A ((all B all C all D (B = C & ordinal(D) & D = B & ordinal(C) -> D = C)) -> (exists B all C ((exists D (D = C & ordinal(C) & in(D,A))) <-> in(C,B))))) # label(s1_tarski__e6_22__wellord2__1) # label(axiom) # label(non_clause). [assumption]. 2.41/3.34 667 -(all A (rel_str(A) & antisymmetric_relstr(A) -> (all B (ex_inf_of_relstr_set(A,B) <-> (exists C (relstr_element_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) -> related(A,D,C)))) & element(C,the_carrier(A)))))))) # label(t16_yellow_0) # label(negated_conjecture) # label(non_clause). [assumption]. 2.41/3.34 2.41/3.34 ============================== end of process non-clausal formulas === 2.41/3.34 2.41/3.34 ============================== PROCESS INITIAL CLAUSES =============== 2.41/3.34 2.41/3.34 ============================== PREDICATE ELIMINATION ================= 2.41/3.34 668 one_sorted_str(c6) # label(existence_l1_struct_0) # label(axiom). [clausify(124)]. 2.41/3.34 669 -one_sorted_str(A) | cast_as_carrier_subset(A) = the_carrier(A) # label(t12_pre_topc) # label(lemma). [clausify(3)]. 2.41/3.34 670 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 671 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 672 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 673 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 674 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 675 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 676 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 677 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 678 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 679 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 680 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 681 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 682 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 683 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 684 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 685 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 686 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 687 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 688 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 689 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 690 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 691 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 692 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 693 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 694 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 695 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 696 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 697 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 698 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 699 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 700 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 701 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 702 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 703 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 704 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 705 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 706 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 707 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 708 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 709 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 710 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 711 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 712 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 713 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 714 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 715 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 716 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 717 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 718 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 719 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 720 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 721 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 722 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 723 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 724 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.34 725 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 726 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 727 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 728 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 729 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 730 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 731 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 732 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 733 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)) # label(s2_funct_1__e4_7_2__tops_2) # label(lemma). [clausify(101)]. 2.41/3.35 Derived: cast_as_carrier_subset(c6) = the_carrier(c6). [resolve(668,a,669,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | relation(f60(c6,A)). [resolve(668,a,670,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | relation_dom(f60(c6,A)) = A. [resolve(668,a,671,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f60(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(668,a,672,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | function(f60(c6,A)). [resolve(668,a,673,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | f59(c6,A,C) = f58(c6,A) | relation(f60(c6,A)). [resolve(668,a,674,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | f59(c6,A,C) = f58(c6,A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,675,a)]. 2.41/3.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | f59(c6,A,C) = f58(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f60(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(668,a,676,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | f59(c6,A,C) = f58(c6,A) | function(f60(c6,A)). [resolve(668,a,677,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | relation(f60(c6,A)). [resolve(668,a,678,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | relation_dom(f60(c6,A)) = A. [resolve(668,a,679,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f60(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(668,a,680,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | function(f60(c6,A)). [resolve(668,a,681,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | in(f58(c6,A),A) | relation(f60(c6,A)). [resolve(668,a,682,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | in(f58(c6,A),A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,683,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | in(f58(c6,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,684,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f56(c6,A) | in(f58(c6,A),A) | function(f60(c6,A)). [resolve(668,a,685,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | relation(f60(c6,A)). [resolve(668,a,686,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | relation_dom(f60(c6,A)) = A. [resolve(668,a,687,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f60(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(668,a,688,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | element(f59(c6,A,C),powerset(the_carrier(c6))) | function(f60(c6,A)). [resolve(668,a,689,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | f59(c6,A,C) = f58(c6,A) | relation(f60(c6,A)). [resolve(668,a,690,a)]. 2.41/3.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | f59(c6,A,C) = f58(c6,A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,691,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | f59(c6,A,C) = f58(c6,A) | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f60(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(668,a,692,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | f59(c6,A,C) = f58(c6,A) | function(f60(c6,A)). [resolve(668,a,693,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | relation(f60(c6,A)). [resolve(668,a,694,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | relation_dom(f60(c6,A)) = A. [resolve(668,a,695,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f60(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(668,a,696,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,C)) != C | function(f60(c6,A)). [resolve(668,a,697,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | in(f58(c6,A),A) | relation(f60(c6,A)). [resolve(668,a,698,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | in(f58(c6,A),A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,699,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | in(f58(c6,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,700,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f55(c6,A) | subset_complement(the_carrier(c6),B) = f57(c6,A) | in(f58(c6,A),A) | function(f60(c6,A)). [resolve(668,a,701,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | relation(f60(c6,A)). [resolve(668,a,702,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | relation_dom(f60(c6,A)) = A. [resolve(668,a,703,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,704,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | function(f60(c6,A)). [resolve(668,a,705,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | f59(c6,A,B) = f58(c6,A) | relation(f60(c6,A)). [resolve(668,a,706,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | f59(c6,A,B) = f58(c6,A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,707,a)]. 2.41/3.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | f59(c6,A,B) = f58(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,708,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | f59(c6,A,B) = f58(c6,A) | function(f60(c6,A)). [resolve(668,a,709,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | relation(f60(c6,A)). [resolve(668,a,710,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | relation_dom(f60(c6,A)) = A. [resolve(668,a,711,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,712,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | function(f60(c6,A)). [resolve(668,a,713,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | in(f58(c6,A),A) | relation(f60(c6,A)). [resolve(668,a,714,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | in(f58(c6,A),A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,715,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | in(f58(c6,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f60(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(668,a,716,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f55(c6,A),A) | in(f58(c6,A),A) | function(f60(c6,A)). [resolve(668,a,717,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | relation(f60(c6,A)). [resolve(668,a,718,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | relation_dom(f60(c6,A)) = A. [resolve(668,a,719,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,720,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | element(f59(c6,A,B),powerset(the_carrier(c6))) | function(f60(c6,A)). [resolve(668,a,721,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | f59(c6,A,B) = f58(c6,A) | relation(f60(c6,A)). [resolve(668,a,722,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | f59(c6,A,B) = f58(c6,A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,723,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | f59(c6,A,B) = f58(c6,A) | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,724,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | f59(c6,A,B) = f58(c6,A) | function(f60(c6,A)). [resolve(668,a,725,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | relation(f60(c6,A)). [resolve(668,a,726,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | relation_dom(f60(c6,A)) = A. [resolve(668,a,727,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f60(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(668,a,728,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | subset_complement(the_carrier(c6),f59(c6,A,B)) != B | function(f60(c6,A)). [resolve(668,a,729,a)]. 2.49/3.42 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | in(f58(c6,A),A) | relation(f60(c6,A)). [resolve(668,a,730,a)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | in(f58(c6,A),A) | relation_dom(f60(c6,A)) = A. [resolve(668,a,731,a)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | in(f58(c6,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f60(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(668,a,732,a)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f57(c6,A) != f56(c6,A) | in(f58(c6,A),A) | function(f60(c6,A)). [resolve(668,a,733,a)]. 2.49/3.44 734 -one_sorted_str(A) | -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). [clausify(149)]. 2.49/3.44 Derived: -element(A,powerset(the_carrier(c6))) | subset_complement(the_carrier(c6),A) = subset_difference(the_carrier(c6),cast_as_carrier_subset(c6),A). [resolve(734,a,668,a)]. 2.49/3.44 735 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f80(B,A,D)) | ordered_pair(f81(B,A,D,C),f82(B,A,D,C)) = C # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f80(c6,A,C)) | ordered_pair(f81(c6,A,C,B),f82(c6,A,C,B)) = B. [resolve(735,b,668,a)]. 2.49/3.44 736 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f80(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f81(B,A,D,C) | subset_complement(the_carrier(B),E) = f82(B,A,D,C) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f80(c6,A,C)) | -element(D,powerset(the_carrier(c6))) | D != f81(c6,A,C,B) | subset_complement(the_carrier(c6),D) = f82(c6,A,C,B). [resolve(736,b,668,a)]. 2.49/3.44 737 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f80(B,A,D)) | in(f81(B,A,D,C),A) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f80(c6,A,C)) | in(f81(c6,A,C,B),A). [resolve(737,b,668,a)]. 2.49/3.44 738 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -in(C,f80(B,A,D)) | in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -in(B,f80(c6,A,C)) | in(B,cartesian_product2(A,C)). [resolve(738,b,668,a)]. 2.49/3.44 739 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f80(B,A,D)) | ordered_pair(E,F) != C | element(f83(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f80(c6,A,C)) | ordered_pair(D,E) != B | element(f83(c6,A,C,B,D,E),powerset(the_carrier(c6))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(739,b,668,a)]. 2.49/3.44 740 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f80(B,A,D)) | ordered_pair(E,F) != C | f83(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f80(c6,A,C)) | ordered_pair(D,E) != B | f83(c6,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(740,b,668,a)]. 2.49/3.44 741 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(C,f80(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f83(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) # label(s1_xboole_0__e4_7_2__tops_2__1) # label(lemma). [clausify(171)]. 2.49/3.44 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,f80(c6,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c6),f83(c6,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(741,b,668,a)]. 2.49/3.44 742 -one_sorted_str(A) | -empty(the_carrier(A)) | empty_carrier(A) # label(d1_struct_0) # label(axiom). [clausify(203)]. 2.58/3.49 Derived: -empty(the_carrier(c6)) | empty_carrier(c6). [resolve(742,a,668,a)]. 2.58/3.49 743 -one_sorted_str(A) | empty(the_carrier(A)) | -empty_carrier(A) # label(d1_struct_0) # label(axiom). [clausify(203)]. 2.58/3.49 Derived: empty(the_carrier(c6)) | -empty_carrier(c6). [resolve(743,a,668,a)]. 2.58/3.49 744 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(B,C) != D | element(f139(c6,A,E,D,B,C),powerset(the_carrier(c6))) | -in(B,complements_of_subsets(the_carrier(c6),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),E)) | in(D,f138(c6,A,E)). [resolve(744,a,668,a)]. 2.58/3.49 745 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(B,C) != D | f139(c6,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c6),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),E)) | in(D,f138(c6,A,E)). [resolve(745,a,668,a)]. 2.58/3.49 746 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c6),f139(c6,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c6),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c6),A),E)) | in(D,f138(c6,A,E)). [resolve(746,a,668,a)]. 2.58/3.49 747 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f140(c6,A,B,C),f141(c6,A,B,C)) = C | -in(C,f138(c6,A,B)). [resolve(747,a,668,a)]. 2.58/3.49 748 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f140(c6,A,C,D) | subset_complement(the_carrier(c6),B) = f141(c6,A,C,D) | -in(D,f138(c6,A,C)). [resolve(748,a,668,a)]. 2.58/3.49 749 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f140(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f138(c6,A,B)). [resolve(749,a,668,a)]. 2.58/3.49 750 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)) # label(s1_xboole_0__e4_7_1__tops_2__1) # label(lemma). [clausify(238)]. 2.58/3.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)) | -in(B,f138(c6,A,C)). [resolve(750,a,668,a)]. 2.58/3.49 751 -rel_str(A) | one_sorted_str(A) # label(dt_l1_orders_2) # label(axiom). [clausify(249)]. 2.58/3.51 Derived: -rel_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(751,b,669,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,670,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,671,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,672,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,673,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,674,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,675,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,676,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(751,b,677,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(751,b,678,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(751,b,679,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,680,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(751,b,681,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,682,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,683,a)]. 2.58/3.51 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,684,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,685,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,686,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,687,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,688,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,689,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,690,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,691,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,692,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(751,b,693,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(751,b,694,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(751,b,695,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,696,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(751,b,697,a)]. 2.62/3.54 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,698,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,699,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,700,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,701,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,702,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,703,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,704,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,705,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,706,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,707,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,708,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(751,b,709,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(751,b,710,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(751,b,711,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,712,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(751,b,713,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,714,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,715,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(751,b,716,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,717,a)]. 2.64/3.56 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,718,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,719,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,720,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,721,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,722,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,723,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,724,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(751,b,725,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(751,b,726,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(751,b,727,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,728,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(751,b,729,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,730,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,731,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(751,b,732,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,733,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B). [resolve(751,b,734,a)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | ordered_pair(f81(A,B,D,C),f82(A,B,D,C)) = C. [resolve(751,b,735,b)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | -element(E,powerset(the_carrier(A))) | E != f81(A,B,D,C) | subset_complement(the_carrier(A),E) = f82(A,B,D,C). [resolve(751,b,736,b)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(f81(A,B,D,C),B). [resolve(751,b,737,b)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(C,cartesian_product2(B,D)). [resolve(751,b,738,b)]. 2.64/3.58 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | element(f83(A,B,D,C,E,F),powerset(the_carrier(A))) | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(751,b,739,b)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | f83(A,B,D,C,E,F) = E | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(751,b,740,b)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(A),f83(A,B,D,C,E,F)) != F | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(751,b,741,b)]. 2.64/3.61 Derived: -rel_str(A) | -empty(the_carrier(A)) | empty_carrier(A). [resolve(751,b,742,a)]. 2.64/3.61 Derived: -rel_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(751,b,743,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(751,b,744,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(751,b,745,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(751,b,746,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)). [resolve(751,b,747,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)). [resolve(751,b,748,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)). [resolve(751,b,749,a)]. 2.64/3.61 Derived: -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)). [resolve(751,b,750,a)]. 2.64/3.61 752 -one_sorted_str(A) | identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)) # label(d11_grcat_1) # label(axiom). [clausify(266)]. 2.64/3.61 Derived: identity_on_carrier(c6) = identity_as_relation_of(the_carrier(c6)). [resolve(752,a,668,a)]. 2.64/3.61 Derived: identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)) | -rel_str(A). [resolve(752,a,751,b)]. 2.64/3.61 753 -one_sorted_str(A) | empty_carrier(A) | element(f154(A),powerset(the_carrier(A))) # label(rc5_struct_0) # label(axiom). [clausify(267)]. 2.64/3.61 Derived: empty_carrier(c6) | element(f154(c6),powerset(the_carrier(c6))). [resolve(753,a,668,a)]. 2.64/3.61 Derived: empty_carrier(A) | element(f154(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(753,a,751,b)]. 2.64/3.61 754 -one_sorted_str(A) | empty_carrier(A) | -empty(f154(A)) # label(rc5_struct_0) # label(axiom). [clausify(267)]. 2.64/3.61 Derived: empty_carrier(c6) | -empty(f154(c6)). [resolve(754,a,668,a)]. 2.64/3.61 Derived: empty_carrier(A) | -empty(f154(A)) | -rel_str(A). [resolve(754,a,751,b)]. 2.64/3.61 755 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.61 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f164(c6,A)). [resolve(755,b,668,a)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(755,b,751,b)]. 2.64/3.62 756 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(756,b,668,a)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(756,b,751,b)]. 2.64/3.62 757 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(757,b,668,a)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(757,b,751,b)]. 2.64/3.62 758 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f164(c6,A)). [resolve(758,b,668,a)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(758,b,751,b)]. 2.64/3.62 759 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | function(f164(c6,A)). [resolve(759,b,668,a)]. 2.64/3.62 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(759,b,751,b)]. 2.64/3.63 760 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(760,b,668,a)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(760,b,751,b)]. 2.64/3.63 761 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f164(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(761,b,668,a)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(761,b,751,b)]. 2.64/3.63 762 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | relation(f164(c6,A)). [resolve(762,b,668,a)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(762,b,751,b)]. 2.64/3.63 763 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | f163(c6,A,C) = f162(c6,A) | function(f164(c6,A)). [resolve(763,b,668,a)]. 2.64/3.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(763,b,751,b)]. 2.73/3.64 764 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | f163(c6,A,C) = f162(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(764,b,668,a)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(764,b,751,b)]. 2.73/3.64 765 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | f163(c6,A,C) = f162(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f164(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(765,b,668,a)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(765,b,751,b)]. 2.73/3.64 766 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | f163(c6,A,C) = f162(c6,A) | relation(f164(c6,A)). [resolve(766,b,668,a)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(766,b,751,b)]. 2.73/3.64 767 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | function(f164(c6,A)). [resolve(767,b,668,a)]. 2.73/3.64 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) | -rel_str(B). [resolve(767,b,751,b)]. 2.73/3.64 768 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(768,b,668,a)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(768,b,751,b)]. 2.73/3.65 769 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f164(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(769,b,668,a)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(769,b,751,b)]. 2.73/3.65 770 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f161(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | relation(f164(c6,A)). [resolve(770,b,668,a)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) | -rel_str(B). [resolve(770,b,751,b)]. 2.73/3.65 771 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f164(c6,A)). [resolve(771,b,668,a)]. 2.73/3.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(771,b,751,b)]. 2.73/3.65 772 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(772,b,668,a)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(772,b,751,b)]. 2.73/3.66 773 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(773,b,668,a)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(773,b,751,b)]. 2.73/3.66 774 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f164(c6,A)). [resolve(774,b,668,a)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(774,b,751,b)]. 2.73/3.66 775 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | function(f164(c6,A)). [resolve(775,b,668,a)]. 2.73/3.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(775,b,751,b)]. 2.73/3.66 776 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(776,b,668,a)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(776,b,751,b)]. 2.73/3.68 777 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f164(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(777,b,668,a)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(777,b,751,b)]. 2.73/3.68 778 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | element(f163(c6,A,C),powerset(the_carrier(c6))) | relation(f164(c6,A)). [resolve(778,b,668,a)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(778,b,751,b)]. 2.73/3.68 779 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | f163(c6,A,C) = f162(c6,A) | function(f164(c6,A)). [resolve(779,b,668,a)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(779,b,751,b)]. 2.73/3.68 780 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | f163(c6,A,C) = f162(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(780,b,668,a)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(780,b,751,b)]. 2.73/3.69 781 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | f163(c6,A,C) = f162(c6,A) | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f164(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(781,b,668,a)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(781,b,751,b)]. 2.73/3.69 782 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | f163(c6,A,C) = f162(c6,A) | relation(f164(c6,A)). [resolve(782,b,668,a)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(782,b,751,b)]. 2.73/3.69 783 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | function(f164(c6,A)). [resolve(783,b,668,a)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) | -rel_str(B). [resolve(783,b,751,b)]. 2.73/3.69 784 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(784,b,668,a)]. 2.73/3.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(784,b,751,b)]. 2.79/3.70 785 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c6),A)) | -element(E,powerset(the_carrier(c6))) | E != D | apply(f164(c6,A),D) = subset_complement(the_carrier(c6),E). [resolve(785,b,668,a)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(785,b,751,b)]. 2.79/3.70 786 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f159(c6,A) | subset_complement(the_carrier(c6),B) = f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,C)) != C | relation(f164(c6,A)). [resolve(786,b,668,a)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) | -rel_str(B). [resolve(786,b,751,b)]. 2.79/3.70 787 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f164(c6,A)). [resolve(787,b,668,a)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(787,b,751,b)]. 2.79/3.70 788 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(788,b,668,a)]. 2.79/3.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(788,b,751,b)]. 2.79/3.70 789 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f164(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(789,b,668,a)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(789,b,751,b)]. 2.79/3.71 790 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f164(c6,A)). [resolve(790,b,668,a)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(790,b,751,b)]. 2.79/3.71 791 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | element(f163(c6,A,B),powerset(the_carrier(c6))) | function(f164(c6,A)). [resolve(791,b,668,a)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(791,b,751,b)]. 2.79/3.71 792 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | element(f163(c6,A,B),powerset(the_carrier(c6))) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(792,b,668,a)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(792,b,751,b)]. 2.79/3.71 793 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | element(f163(c6,A,B),powerset(the_carrier(c6))) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(793,b,668,a)]. 2.79/3.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(793,b,751,b)]. 2.79/3.72 794 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | element(f163(c6,A,B),powerset(the_carrier(c6))) | relation(f164(c6,A)). [resolve(794,b,668,a)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(794,b,751,b)]. 2.79/3.72 795 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | f163(c6,A,B) = f162(c6,A) | function(f164(c6,A)). [resolve(795,b,668,a)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(795,b,751,b)]. 2.79/3.72 796 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | f163(c6,A,B) = f162(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(796,b,668,a)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(796,b,751,b)]. 2.79/3.72 797 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | f163(c6,A,B) = f162(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(797,b,668,a)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(797,b,751,b)]. 2.79/3.72 798 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | f163(c6,A,B) = f162(c6,A) | relation(f164(c6,A)). [resolve(798,b,668,a)]. 2.79/3.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(798,b,751,b)]. 2.79/3.74 799 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | function(f164(c6,A)). [resolve(799,b,668,a)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) | -rel_str(B). [resolve(799,b,751,b)]. 2.79/3.74 800 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(800,b,668,a)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(800,b,751,b)]. 2.79/3.74 801 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(801,b,668,a)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(801,b,751,b)]. 2.79/3.74 802 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f159(c6,A),complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | relation(f164(c6,A)). [resolve(802,b,668,a)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) | -rel_str(B). [resolve(802,b,751,b)]. 2.79/3.74 803 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f164(c6,A)). [resolve(803,b,668,a)]. 2.79/3.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(803,b,751,b)]. 2.79/3.75 804 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(804,b,668,a)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(804,b,751,b)]. 2.79/3.75 805 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | -element(C,powerset(the_carrier(c6))) | C != B | apply(f164(c6,A),B) = subset_complement(the_carrier(c6),C). [resolve(805,b,668,a)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(805,b,751,b)]. 2.79/3.75 806 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | in(f162(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f164(c6,A)). [resolve(806,b,668,a)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(806,b,751,b)]. 2.79/3.75 807 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | element(f163(c6,A,B),powerset(the_carrier(c6))) | function(f164(c6,A)). [resolve(807,b,668,a)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(807,b,751,b)]. 2.79/3.75 808 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | element(f163(c6,A,B),powerset(the_carrier(c6))) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(808,b,668,a)]. 2.79/3.75 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(808,b,751,b)]. 2.79/3.75 809 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | element(f163(c6,A,B),powerset(the_carrier(c6))) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(809,b,668,a)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(809,b,751,b)]. 2.85/3.76 810 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | element(f163(c6,A,B),powerset(the_carrier(c6))) | relation(f164(c6,A)). [resolve(810,b,668,a)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(810,b,751,b)]. 2.85/3.76 811 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | f163(c6,A,B) = f162(c6,A) | function(f164(c6,A)). [resolve(811,b,668,a)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(811,b,751,b)]. 2.85/3.76 812 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | f163(c6,A,B) = f162(c6,A) | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(812,b,668,a)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(812,b,751,b)]. 2.85/3.76 813 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | f163(c6,A,B) = f162(c6,A) | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(813,b,668,a)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(813,b,751,b)]. 2.85/3.76 814 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | f163(c6,A,B) = f162(c6,A) | relation(f164(c6,A)). [resolve(814,b,668,a)]. 2.85/3.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(814,b,751,b)]. 2.89/3.81 815 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | function(f164(c6,A)). [resolve(815,b,668,a)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) | -rel_str(B). [resolve(815,b,751,b)]. 2.89/3.81 816 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | complements_of_subsets(the_carrier(c6),A) = relation_dom(f164(c6,A)). [resolve(816,b,668,a)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(816,b,751,b)]. 2.89/3.81 817 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c6),A)) | -element(D,powerset(the_carrier(c6))) | D != C | apply(f164(c6,A),C) = subset_complement(the_carrier(c6),D). [resolve(817,b,668,a)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(817,b,751,b)]. 2.89/3.81 818 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) # label(s2_funct_1__e4_7_1__tops_2) # label(lemma). [clausify(274)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f161(c6,A) != f160(c6,A) | subset_complement(the_carrier(c6),f163(c6,A,B)) != B | relation(f164(c6,A)). [resolve(818,b,668,a)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) | -rel_str(B). [resolve(818,b,751,b)]. 2.89/3.81 819 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B) # label(t13_tops_2) # label(lemma). [clausify(295)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -finite(complements_of_subsets(the_carrier(c6),A)) | finite(A). [resolve(819,a,668,a)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -rel_str(B). [resolve(819,a,751,b)]. 2.89/3.81 820 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B) # label(t13_tops_2) # label(lemma). [clausify(295)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | finite(complements_of_subsets(the_carrier(c6),A)) | -finite(A). [resolve(820,a,668,a)]. 2.89/3.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -rel_str(B). [resolve(820,a,751,b)]. 2.89/3.81 821 -one_sorted_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)) # label(fc2_pre_topc) # label(axiom). [clausify(308)]. 2.89/3.82 Derived: empty_carrier(c6) | -empty(cast_as_carrier_subset(c6)). [resolve(821,a,668,a)]. 2.89/3.82 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -rel_str(A). [resolve(821,a,751,b)]. 2.89/3.82 822 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(822,b,668,a)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(822,b,751,b)]. 2.89/3.82 823 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(823,b,668,a)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(823,b,751,b)]. 2.89/3.82 824 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(824,b,668,a)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(824,b,751,b)]. 2.89/3.82 825 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(825,b,668,a)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(825,b,751,b)]. 2.89/3.82 826 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(826,b,668,a)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(826,b,751,b)]. 2.89/3.82 827 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(827,b,668,a)]. 2.89/3.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(827,b,751,b)]. 2.89/3.84 828 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(828,b,668,a)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(828,b,751,b)]. 2.89/3.84 829 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) = f191(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(829,b,668,a)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(829,b,751,b)]. 2.89/3.84 830 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | -in(D,f198(c6,A,C)) | in(f200(c6,A,C,D),A). [resolve(830,b,668,a)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) | -rel_str(B). [resolve(830,b,751,b)]. 2.89/3.84 831 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | -in(D,f198(c6,A,C)) | -element(E,powerset(the_carrier(c6))) | E != f200(c6,A,C,D) | subset_complement(the_carrier(c6),E) = f201(c6,A,C,D). [resolve(831,b,668,a)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) | -rel_str(B). [resolve(831,b,751,b)]. 2.89/3.84 832 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.89/3.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | -in(D,f198(c6,A,C)) | ordered_pair(f200(c6,A,C,D),f201(c6,A,C,D)) = D. [resolve(832,b,668,a)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E | -rel_str(B). [resolve(832,b,751,b)]. 2.94/3.85 833 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | -in(D,f198(c6,A,C)) | f199(c6,A,C,D) = D. [resolve(833,b,668,a)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E | -rel_str(B). [resolve(833,b,751,b)]. 2.94/3.85 834 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | -in(D,f198(c6,A,C)) | in(f199(c6,A,C,D),cartesian_product2(A,C)). [resolve(834,b,668,a)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) | -rel_str(B). [resolve(834,b,751,b)]. 2.94/3.85 835 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | in(D,f198(c6,A,C)) | -in(E,A) | element(f202(c6,A,C,D,F,E,V6),powerset(the_carrier(c6))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(835,b,668,a)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(835,b,751,b)]. 2.94/3.85 836 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | in(D,f198(c6,A,C)) | -in(E,A) | f202(c6,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(836,b,668,a)]. 2.94/3.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(836,b,751,b)]. 2.94/3.86 837 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f194(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f195(c6,A,C) | in(D,f198(c6,A,C)) | -in(E,A) | subset_complement(the_carrier(c6),f202(c6,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(837,b,668,a)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(837,b,751,b)]. 2.94/3.86 838 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(838,b,668,a)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(838,b,751,b)]. 2.94/3.86 839 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(839,b,668,a)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(839,b,751,b)]. 2.94/3.86 840 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(840,b,668,a)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(840,b,751,b)]. 2.94/3.86 841 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(841,b,668,a)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(841,b,751,b)]. 2.94/3.86 842 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(842,b,668,a)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(842,b,751,b)]. 2.94/3.88 843 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(843,b,668,a)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(843,b,751,b)]. 2.94/3.88 844 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(844,b,668,a)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(844,b,751,b)]. 2.94/3.88 845 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f194(c6,A,B),A) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(845,b,668,a)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(845,b,751,b)]. 2.94/3.88 846 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(846,b,668,a)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(846,b,751,b)]. 2.94/3.88 847 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(847,b,668,a)]. 2.94/3.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(847,b,751,b)]. 2.94/3.89 848 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(848,b,668,a)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(848,b,751,b)]. 2.94/3.89 849 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(849,b,668,a)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(849,b,751,b)]. 2.94/3.89 850 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(850,b,668,a)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(850,b,751,b)]. 2.94/3.89 851 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(851,b,668,a)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(851,b,751,b)]. 2.94/3.89 852 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(852,b,668,a)]. 2.94/3.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(852,b,751,b)]. 2.94/3.89 853 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f194(c6,A,B),f195(c6,A,B)) = f193(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(853,b,668,a)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(853,b,751,b)]. 2.94/3.91 854 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(854,b,668,a)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(854,b,751,b)]. 2.94/3.91 855 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(855,b,668,a)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(855,b,751,b)]. 2.94/3.91 856 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(856,b,668,a)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(856,b,751,b)]. 2.94/3.91 857 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(857,b,668,a)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(857,b,751,b)]. 2.94/3.91 858 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(858,b,668,a)]. 2.94/3.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(858,b,751,b)]. 2.94/3.91 859 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(859,b,668,a)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(859,b,751,b)]. 2.94/3.92 860 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(860,b,668,a)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(860,b,751,b)]. 2.94/3.92 861 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f196(c6,A,B),A) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(861,b,668,a)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(861,b,751,b)]. 2.94/3.92 862 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | -in(D,f198(c6,A,C)) | in(f200(c6,A,C,D),A). [resolve(862,b,668,a)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) | -rel_str(B). [resolve(862,b,751,b)]. 2.94/3.92 863 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | -in(D,f198(c6,A,C)) | -element(E,powerset(the_carrier(c6))) | E != f200(c6,A,C,D) | subset_complement(the_carrier(c6),E) = f201(c6,A,C,D). [resolve(863,b,668,a)]. 2.94/3.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) | -rel_str(B). [resolve(863,b,751,b)]. 2.94/3.94 864 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | -in(D,f198(c6,A,C)) | ordered_pair(f200(c6,A,C,D),f201(c6,A,C,D)) = D. [resolve(864,b,668,a)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E | -rel_str(B). [resolve(864,b,751,b)]. 2.94/3.94 865 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | -in(D,f198(c6,A,C)) | f199(c6,A,C,D) = D. [resolve(865,b,668,a)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E | -rel_str(B). [resolve(865,b,751,b)]. 2.94/3.94 866 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | -in(D,f198(c6,A,C)) | in(f199(c6,A,C,D),cartesian_product2(A,C)). [resolve(866,b,668,a)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) | -rel_str(B). [resolve(866,b,751,b)]. 2.94/3.94 867 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | in(D,f198(c6,A,C)) | -in(E,A) | element(f202(c6,A,C,D,F,E,V6),powerset(the_carrier(c6))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(867,b,668,a)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(867,b,751,b)]. 2.94/3.94 868 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 2.94/3.94 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | in(D,f198(c6,A,C)) | -in(E,A) | f202(c6,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(868,b,668,a)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(868,b,751,b)]. 3.04/3.95 869 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f196(c6,A,C) | subset_complement(the_carrier(c6),B) = f197(c6,A,C) | in(D,f198(c6,A,C)) | -in(E,A) | subset_complement(the_carrier(c6),f202(c6,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(869,b,668,a)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(869,b,751,b)]. 3.04/3.95 870 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(870,b,668,a)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(870,b,751,b)]. 3.04/3.95 871 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(871,b,668,a)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(871,b,751,b)]. 3.04/3.95 872 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(872,b,668,a)]. 3.04/3.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(872,b,751,b)]. 3.04/3.95 873 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(873,b,668,a)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(873,b,751,b)]. 3.04/3.96 874 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(874,b,668,a)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(874,b,751,b)]. 3.04/3.96 875 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(875,b,668,a)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(875,b,751,b)]. 3.04/3.96 876 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(876,b,668,a)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(876,b,751,b)]. 3.04/3.96 877 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f196(c6,A,B),f197(c6,A,B)) = f192(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(877,b,668,a)]. 3.04/3.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(877,b,751,b)]. 3.04/3.96 878 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(878,b,668,a)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(878,b,751,b)]. 3.04/3.98 879 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(879,b,668,a)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(879,b,751,b)]. 3.04/3.98 880 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(880,b,668,a)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(880,b,751,b)]. 3.04/3.98 881 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(881,b,668,a)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(881,b,751,b)]. 3.04/3.98 882 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(882,b,668,a)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(882,b,751,b)]. 3.04/3.98 883 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(883,b,668,a)]. 3.04/3.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(883,b,751,b)]. 3.04/3.98 884 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(884,b,668,a)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(884,b,751,b)]. 3.10/3.99 885 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f192(c6,A,B) = f191(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(885,b,668,a)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(885,b,751,b)]. 3.10/3.99 886 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | -in(C,f198(c6,A,B)) | in(f200(c6,A,B,C),A). [resolve(886,b,668,a)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(886,b,751,b)]. 3.10/3.99 887 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | -in(C,f198(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f200(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f201(c6,A,B,C). [resolve(887,b,668,a)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(887,b,751,b)]. 3.10/3.99 888 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | -in(C,f198(c6,A,B)) | ordered_pair(f200(c6,A,B,C),f201(c6,A,B,C)) = C. [resolve(888,b,668,a)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(888,b,751,b)]. 3.10/3.99 889 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | -in(C,f198(c6,A,B)) | f199(c6,A,B,C) = C. [resolve(889,b,668,a)]. 3.10/3.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(889,b,751,b)]. 3.10/3.99 890 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | -in(C,f198(c6,A,B)) | in(f199(c6,A,B,C),cartesian_product2(A,B)). [resolve(890,b,668,a)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(890,b,751,b)]. 3.10/4.02 891 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | element(f202(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(891,b,668,a)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(891,b,751,b)]. 3.10/4.02 892 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | f202(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(892,b,668,a)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(892,b,751,b)]. 3.10/4.02 893 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) # label(s1_tarski__e4_7_2__tops_2__2) # label(axiom). [clausify(311)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f193(c6,A,B) != f192(c6,A,B) | in(C,f198(c6,A,B)) | -in(D,A) | subset_complement(the_carrier(c6),f202(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(893,b,668,a)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(893,b,751,b)]. 3.10/4.02 894 -one_sorted_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))) # label(dt_k1_pre_topc) # label(axiom). [clausify(317)]. 3.10/4.02 Derived: element(empty_carrier_subset(c6),powerset(the_carrier(c6))). [resolve(894,a,668,a)]. 3.10/4.02 Derived: element(empty_carrier_subset(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(894,a,751,b)]. 3.10/4.02 895 -one_sorted_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))) # label(dt_k2_pre_topc) # label(axiom). [clausify(320)]. 3.10/4.02 Derived: element(cast_as_carrier_subset(c6),powerset(the_carrier(c6))). [resolve(895,a,668,a)]. 3.10/4.02 Derived: element(cast_as_carrier_subset(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(895,a,751,b)]. 3.10/4.02 896 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f211(B,A),A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f211(c6,A),A) | -in(B,f214(c6,A)) | in(f215(c6,A,B),A). [resolve(896,b,668,a)]. 3.10/4.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) | -rel_str(B). [resolve(896,b,751,b)]. 3.10/4.04 897 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f211(B,A),A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f211(c6,A),A) | -in(B,f214(c6,A)) | -element(C,powerset(the_carrier(c6))) | C != f215(c6,A,B) | subset_complement(the_carrier(c6),C) = B. [resolve(897,b,668,a)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C | -rel_str(B). [resolve(897,b,751,b)]. 3.10/4.04 898 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f211(c6,A),A) | in(B,f214(c6,A)) | -in(C,A) | element(f216(c6,A,B,C),powerset(the_carrier(c6))). [resolve(898,b,668,a)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(898,b,751,b)]. 3.10/4.04 899 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f211(c6,A),A) | in(B,f214(c6,A)) | -in(C,A) | f216(c6,A,B,C) = C. [resolve(899,b,668,a)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D | -rel_str(B). [resolve(899,b,751,b)]. 3.10/4.04 900 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f211(c6,A),A) | in(B,f214(c6,A)) | -in(C,A) | subset_complement(the_carrier(c6),f216(c6,A,B,C)) != B. [resolve(900,b,668,a)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C | -rel_str(B). [resolve(900,b,751,b)]. 3.10/4.04 901 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f213(c6,A) | -in(C,f214(c6,A)) | in(f215(c6,A,C),A). [resolve(901,b,668,a)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) | -rel_str(B). [resolve(901,b,751,b)]. 3.10/4.04 902 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.10/4.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f213(c6,A) | -in(C,f214(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != f215(c6,A,C) | subset_complement(the_carrier(c6),D) = C. [resolve(902,b,668,a)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(902,b,751,b)]. 3.15/4.05 903 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f213(c6,A) | in(C,f214(c6,A)) | -in(D,A) | element(f216(c6,A,C,D),powerset(the_carrier(c6))). [resolve(903,b,668,a)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(903,b,751,b)]. 3.15/4.05 904 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f213(c6,A) | in(C,f214(c6,A)) | -in(D,A) | f216(c6,A,C,D) = D. [resolve(904,b,668,a)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E | -rel_str(B). [resolve(904,b,751,b)]. 3.15/4.05 905 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f213(c6,A) | in(C,f214(c6,A)) | -in(D,A) | subset_complement(the_carrier(c6),f216(c6,A,C,D)) != C. [resolve(905,b,668,a)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D | -rel_str(B). [resolve(905,b,751,b)]. 3.15/4.05 906 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f212(c6,A) | -in(C,f214(c6,A)) | in(f215(c6,A,C),A). [resolve(906,b,668,a)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) | -rel_str(B). [resolve(906,b,751,b)]. 3.15/4.05 907 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.05 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f212(c6,A) | -in(C,f214(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != f215(c6,A,C) | subset_complement(the_carrier(c6),D) = C. [resolve(907,b,668,a)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(907,b,751,b)]. 3.15/4.07 908 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f212(c6,A) | in(C,f214(c6,A)) | -in(D,A) | element(f216(c6,A,C,D),powerset(the_carrier(c6))). [resolve(908,b,668,a)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(908,b,751,b)]. 3.15/4.07 909 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f212(c6,A) | in(C,f214(c6,A)) | -in(D,A) | f216(c6,A,C,D) = D. [resolve(909,b,668,a)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E | -rel_str(B). [resolve(909,b,751,b)]. 3.15/4.07 910 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f211(c6,A) | subset_complement(the_carrier(c6),B) = f212(c6,A) | in(C,f214(c6,A)) | -in(D,A) | subset_complement(the_carrier(c6),f216(c6,A,C,D)) != C. [resolve(910,b,668,a)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D | -rel_str(B). [resolve(910,b,751,b)]. 3.15/4.07 911 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f213(c6,A) != f212(c6,A) | -in(B,f214(c6,A)) | in(f215(c6,A,B),A). [resolve(911,b,668,a)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) | -rel_str(B). [resolve(911,b,751,b)]. 3.15/4.07 912 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.15/4.07 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f213(c6,A) != f212(c6,A) | -in(B,f214(c6,A)) | -element(C,powerset(the_carrier(c6))) | C != f215(c6,A,B) | subset_complement(the_carrier(c6),C) = B. [resolve(912,b,668,a)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C | -rel_str(B). [resolve(912,b,751,b)]. 3.22/4.15 913 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f213(c6,A) != f212(c6,A) | in(B,f214(c6,A)) | -in(C,A) | element(f216(c6,A,B,C),powerset(the_carrier(c6))). [resolve(913,b,668,a)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(913,b,751,b)]. 3.22/4.15 914 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f213(c6,A) != f212(c6,A) | in(B,f214(c6,A)) | -in(C,A) | f216(c6,A,B,C) = C. [resolve(914,b,668,a)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D | -rel_str(B). [resolve(914,b,751,b)]. 3.22/4.15 915 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C # label(s1_tarski__e4_7_2__tops_2__1) # label(axiom). [clausify(342)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f213(c6,A) != f212(c6,A) | in(B,f214(c6,A)) | -in(C,A) | subset_complement(the_carrier(c6),f216(c6,A,B,C)) != B. [resolve(915,b,668,a)]. 3.22/4.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C | -rel_str(B). [resolve(915,b,751,b)]. 3.22/4.15 916 -join_semilatt_str(A) | one_sorted_str(A) # label(dt_l2_lattices) # label(axiom). [clausify(361)]. 3.22/4.15 Derived: -join_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(916,b,669,a)]. 3.22/4.15 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(916,b,670,a)]. 3.22/4.15 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(916,b,671,a)]. 3.22/4.15 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,672,a)]. 3.22/4.15 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(916,b,673,a)]. 3.22/4.15 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(916,b,674,a)]. 3.22/4.15 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(916,b,675,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,676,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(916,b,677,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(916,b,678,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(916,b,679,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,680,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(916,b,681,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(916,b,682,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(916,b,683,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,684,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(916,b,685,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(916,b,686,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(916,b,687,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,688,a)]. 3.27/4.17 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(916,b,689,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(916,b,690,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(916,b,691,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,692,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(916,b,693,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(916,b,694,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(916,b,695,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,696,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(916,b,697,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(916,b,698,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(916,b,699,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,700,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(916,b,701,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(916,b,702,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(916,b,703,a)]. 3.27/4.18 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,704,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(916,b,705,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(916,b,706,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(916,b,707,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,708,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(916,b,709,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(916,b,710,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(916,b,711,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,712,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(916,b,713,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(916,b,714,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(916,b,715,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(916,b,716,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(916,b,717,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(916,b,718,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(916,b,719,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,720,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(916,b,721,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(916,b,722,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(916,b,723,a)]. 3.27/4.20 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,724,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(916,b,725,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(916,b,726,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(916,b,727,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,728,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(916,b,729,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(916,b,730,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(916,b,731,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(916,b,732,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(916,b,733,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B). [resolve(916,b,734,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | ordered_pair(f81(A,B,D,C),f82(A,B,D,C)) = C. [resolve(916,b,735,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | -element(E,powerset(the_carrier(A))) | E != f81(A,B,D,C) | subset_complement(the_carrier(A),E) = f82(A,B,D,C). [resolve(916,b,736,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(f81(A,B,D,C),B). [resolve(916,b,737,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(C,cartesian_product2(B,D)). [resolve(916,b,738,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | element(f83(A,B,D,C,E,F),powerset(the_carrier(A))) | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(916,b,739,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | f83(A,B,D,C,E,F) = E | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(916,b,740,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(A),f83(A,B,D,C,E,F)) != F | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(916,b,741,b)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -empty(the_carrier(A)) | empty_carrier(A). [resolve(916,b,742,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(916,b,743,a)]. 3.27/4.22 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(916,b,744,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(916,b,745,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(916,b,746,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)). [resolve(916,b,747,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)). [resolve(916,b,748,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)). [resolve(916,b,749,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)). [resolve(916,b,750,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)). [resolve(916,b,752,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | empty_carrier(A) | element(f154(A),powerset(the_carrier(A))). [resolve(916,b,753,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | empty_carrier(A) | -empty(f154(A)). [resolve(916,b,754,a)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(916,b,755,b)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,756,b)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,757,b)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(916,b,758,b)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(916,b,759,b)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,760,b)]. 3.34/4.24 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,761,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(916,b,762,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(916,b,763,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,764,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,765,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(916,b,766,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(916,b,767,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,768,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,769,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(916,b,770,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(916,b,771,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,772,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,773,b)]. 3.34/4.26 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(916,b,774,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(916,b,775,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,776,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,777,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(916,b,778,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(916,b,779,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,780,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,781,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(916,b,782,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(916,b,783,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,784,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(916,b,785,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(916,b,786,b)]. 3.38/4.27 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(916,b,787,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,788,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(916,b,789,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(916,b,790,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(916,b,791,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,792,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,793,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(916,b,794,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(916,b,795,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,796,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,797,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(916,b,798,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(916,b,799,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,800,b)]. 3.38/4.29 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,801,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(916,b,802,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(916,b,803,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,804,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(916,b,805,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(916,b,806,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(916,b,807,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,808,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,809,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(916,b,810,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(916,b,811,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,812,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,813,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(916,b,814,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(916,b,815,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(916,b,816,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(916,b,817,b)]. 3.38/4.31 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(916,b,818,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B). [resolve(916,b,819,a)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B). [resolve(916,b,820,a)]. 3.38/4.33 Derived: -join_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(916,b,821,a)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,822,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,823,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,824,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,825,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,826,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,827,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,828,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,829,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(916,b,830,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(916,b,831,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(916,b,832,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(916,b,833,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(916,b,834,b)]. 3.38/4.33 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(916,b,835,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(916,b,836,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(916,b,837,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,838,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,839,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,840,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,841,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,842,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,843,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,844,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,845,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,846,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,847,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,848,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,849,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,850,b)]. 3.43/4.35 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,851,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,852,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,853,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,854,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,855,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,856,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,857,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,858,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,859,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,860,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,861,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(916,b,862,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(916,b,863,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(916,b,864,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(916,b,865,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(916,b,866,b)]. 3.46/4.37 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(916,b,867,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(916,b,868,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(916,b,869,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,870,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,871,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,872,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,873,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,874,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,875,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,876,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,877,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,878,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,879,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,880,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,881,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,882,b)]. 3.46/4.39 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,883,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,884,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,885,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(916,b,886,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(916,b,887,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(916,b,888,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(916,b,889,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(916,b,890,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,891,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,892,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(916,b,893,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(916,b,894,a)]. 3.46/4.41 Derived: -join_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(916,b,895,a)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(916,b,896,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(916,b,897,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(916,b,898,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(916,b,899,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(916,b,900,b)]. 3.46/4.41 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(916,b,901,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(916,b,902,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(916,b,903,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(916,b,904,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(916,b,905,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(916,b,906,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(916,b,907,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(916,b,908,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(916,b,909,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(916,b,910,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(916,b,911,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(916,b,912,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(916,b,913,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(916,b,914,b)]. 3.52/4.43 Derived: -join_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(916,b,915,b)]. 3.52/4.43 917 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.52/4.43 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f241(c6,A) | element(f244(c6,A,C,D),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | in(C,f243(c6,A)). [resolve(917,b,668,a)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(917,b,751,b)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(917,b,916,b)]. 3.52/4.45 918 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f241(c6,A) | f244(c6,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | in(C,f243(c6,A)). [resolve(918,b,668,a)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(918,b,751,b)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(918,b,916,b)]. 3.52/4.45 919 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f241(c6,A) | subset_complement(the_carrier(c6),f244(c6,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c6),A)) | in(C,f243(c6,A)). [resolve(919,b,668,a)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(919,b,751,b)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(919,b,916,b)]. 3.52/4.45 920 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.52/4.45 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f241(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f245(c6,A,D) | subset_complement(the_carrier(c6),C) = D | -in(D,f243(c6,A)). [resolve(920,b,668,a)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -rel_str(B). [resolve(920,b,751,b)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -join_semilatt_str(B). [resolve(920,b,916,b)]. 3.56/4.46 921 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f241(c6,A) | in(f245(c6,A,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f243(c6,A)). [resolve(921,b,668,a)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -rel_str(B). [resolve(921,b,751,b)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(921,b,916,b)]. 3.56/4.46 922 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f240(c6,A),complements_of_subsets(the_carrier(c6),A)) | element(f244(c6,A,B,C),powerset(the_carrier(c6))) | -in(C,complements_of_subsets(the_carrier(c6),A)) | in(B,f243(c6,A)). [resolve(922,b,668,a)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(922,b,751,b)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(922,b,916,b)]. 3.56/4.46 923 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f240(c6,A),complements_of_subsets(the_carrier(c6),A)) | f244(c6,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c6),A)) | in(B,f243(c6,A)). [resolve(923,b,668,a)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(923,b,751,b)]. 3.56/4.46 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(923,b,916,b)]. 3.56/4.46 924 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f240(c6,A),complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f244(c6,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c6),A)) | in(B,f243(c6,A)). [resolve(924,b,668,a)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(924,b,751,b)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(924,b,916,b)]. 3.56/4.48 925 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f240(c6,A),complements_of_subsets(the_carrier(c6),A)) | -element(B,powerset(the_carrier(c6))) | B != f245(c6,A,C) | subset_complement(the_carrier(c6),B) = C | -in(C,f243(c6,A)). [resolve(925,b,668,a)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -rel_str(B). [resolve(925,b,751,b)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(925,b,916,b)]. 3.56/4.48 926 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f240(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(f245(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(B,f243(c6,A)). [resolve(926,b,668,a)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -rel_str(B). [resolve(926,b,751,b)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(926,b,916,b)]. 3.56/4.48 927 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f242(c6,A) | element(f244(c6,A,C,D),powerset(the_carrier(c6))) | -in(D,complements_of_subsets(the_carrier(c6),A)) | in(C,f243(c6,A)). [resolve(927,b,668,a)]. 3.56/4.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(927,b,751,b)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(927,b,916,b)]. 3.56/4.49 928 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f242(c6,A) | f244(c6,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c6),A)) | in(C,f243(c6,A)). [resolve(928,b,668,a)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(928,b,751,b)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(928,b,916,b)]. 3.56/4.49 929 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f242(c6,A) | subset_complement(the_carrier(c6),f244(c6,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c6),A)) | in(C,f243(c6,A)). [resolve(929,b,668,a)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(929,b,751,b)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(929,b,916,b)]. 3.56/4.49 930 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f242(c6,A) | -element(C,powerset(the_carrier(c6))) | C != f245(c6,A,D) | subset_complement(the_carrier(c6),C) = D | -in(D,f243(c6,A)). [resolve(930,b,668,a)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -rel_str(B). [resolve(930,b,751,b)]. 3.56/4.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -join_semilatt_str(B). [resolve(930,b,916,b)]. 3.56/4.51 931 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f240(c6,A) | subset_complement(the_carrier(c6),B) = f242(c6,A) | in(f245(c6,A,C),complements_of_subsets(the_carrier(c6),A)) | -in(C,f243(c6,A)). [resolve(931,b,668,a)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -rel_str(B). [resolve(931,b,751,b)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(931,b,916,b)]. 3.56/4.51 932 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f242(B,A) != f241(B,A) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f242(c6,A) != f241(c6,A) | element(f244(c6,A,B,C),powerset(the_carrier(c6))) | -in(C,complements_of_subsets(the_carrier(c6),A)) | in(B,f243(c6,A)). [resolve(932,b,668,a)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(932,b,751,b)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(932,b,916,b)]. 3.56/4.51 933 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f242(B,A) != f241(B,A) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f242(c6,A) != f241(c6,A) | f244(c6,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c6),A)) | in(B,f243(c6,A)). [resolve(933,b,668,a)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(933,b,751,b)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(933,b,916,b)]. 3.56/4.51 934 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f242(B,A) != f241(B,A) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f242(c6,A) != f241(c6,A) | subset_complement(the_carrier(c6),f244(c6,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c6),A)) | in(B,f243(c6,A)). [resolve(934,b,668,a)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(934,b,751,b)]. 3.56/4.51 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(934,b,916,b)]. 3.67/4.60 935 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f242(B,A) != f241(B,A) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f242(c6,A) != f241(c6,A) | -element(B,powerset(the_carrier(c6))) | B != f245(c6,A,C) | subset_complement(the_carrier(c6),B) = C | -in(C,f243(c6,A)). [resolve(935,b,668,a)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -rel_str(B). [resolve(935,b,751,b)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -join_semilatt_str(B). [resolve(935,b,916,b)]. 3.67/4.60 936 -element(A,powerset(powerset(the_carrier(B)))) | -one_sorted_str(B) | f242(B,A) != f241(B,A) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) # label(s1_tarski__e4_7_1__tops_2__1) # label(axiom). [clausify(371)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f242(c6,A) != f241(c6,A) | in(f245(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(B,f243(c6,A)). [resolve(936,b,668,a)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -rel_str(B). [resolve(936,b,751,b)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -join_semilatt_str(B). [resolve(936,b,916,b)]. 3.67/4.60 937 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A) # label(d8_pre_topc) # label(axiom). [clausify(378)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -is_a_cover_of_carrier(c6,A) | union_of_subsets(the_carrier(c6),A) = cast_as_carrier_subset(c6). [resolve(937,a,668,a)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -rel_str(B). [resolve(937,a,751,b)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -join_semilatt_str(B). [resolve(937,a,916,b)]. 3.67/4.60 938 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A) # label(d8_pre_topc) # label(axiom). [clausify(378)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | is_a_cover_of_carrier(c6,A) | union_of_subsets(the_carrier(c6),A) != cast_as_carrier_subset(c6). [resolve(938,a,668,a)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -rel_str(B). [resolve(938,a,751,b)]. 3.67/4.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -join_semilatt_str(B). [resolve(938,a,916,b)]. 3.67/4.60 939 -one_sorted_str(A) | empty_carrier_subset(A) = empty_set # label(d2_pre_topc) # label(axiom). [clausify(384)]. 3.67/4.60 Derived: empty_carrier_subset(c6) = empty_set. [resolve(939,a,668,a)]. 3.67/4.60 Derived: empty_carrier_subset(A) = empty_set | -rel_str(A). [resolve(939,a,751,b)]. 3.67/4.60 Derived: empty_carrier_subset(A) = empty_set | -join_semilatt_str(A). [resolve(939,a,916,b)]. 3.67/4.60 940 -top_str(A) | one_sorted_str(A) # label(dt_l1_pre_topc) # label(axiom). [clausify(422)]. 3.67/4.62 Derived: -top_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(940,b,669,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(940,b,670,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(940,b,671,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,672,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(940,b,673,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(940,b,674,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(940,b,675,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,676,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(940,b,677,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(940,b,678,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(940,b,679,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,680,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(940,b,681,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(940,b,682,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(940,b,683,a)]. 3.67/4.62 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,684,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(940,b,685,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(940,b,686,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(940,b,687,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,688,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(940,b,689,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(940,b,690,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(940,b,691,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,692,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(940,b,693,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(940,b,694,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(940,b,695,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,696,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(940,b,697,a)]. 3.67/4.63 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(940,b,698,a)]. 3.75/4.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(940,b,699,a)]. 3.75/4.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,700,a)]. 3.75/4.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(940,b,701,a)]. 3.75/4.65 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(940,b,702,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(940,b,703,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,704,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(940,b,705,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(940,b,706,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(940,b,707,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,708,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(940,b,709,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(940,b,710,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(940,b,711,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,712,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(940,b,713,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(940,b,714,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(940,b,715,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(940,b,716,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(940,b,717,a)]. 3.75/4.66 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(940,b,718,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(940,b,719,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,720,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(940,b,721,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(940,b,722,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(940,b,723,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,724,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(940,b,725,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(940,b,726,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(940,b,727,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,728,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(940,b,729,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(940,b,730,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(940,b,731,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(940,b,732,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(940,b,733,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(the_carrier(A))) | subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B). [resolve(940,b,734,a)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | ordered_pair(f81(A,B,D,C),f82(A,B,D,C)) = C. [resolve(940,b,735,b)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | -element(E,powerset(the_carrier(A))) | E != f81(A,B,D,C) | subset_complement(the_carrier(A),E) = f82(A,B,D,C). [resolve(940,b,736,b)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(f81(A,B,D,C),B). [resolve(940,b,737,b)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(C,cartesian_product2(B,D)). [resolve(940,b,738,b)]. 3.78/4.68 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | element(f83(A,B,D,C,E,F),powerset(the_carrier(A))) | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(940,b,739,b)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | f83(A,B,D,C,E,F) = E | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(940,b,740,b)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(A),f83(A,B,D,C,E,F)) != F | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(940,b,741,b)]. 3.78/4.70 Derived: -top_str(A) | -empty(the_carrier(A)) | empty_carrier(A). [resolve(940,b,742,a)]. 3.78/4.70 Derived: -top_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(940,b,743,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(940,b,744,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(940,b,745,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(940,b,746,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)). [resolve(940,b,747,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)). [resolve(940,b,748,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)). [resolve(940,b,749,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)). [resolve(940,b,750,a)]. 3.78/4.70 Derived: -top_str(A) | identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)). [resolve(940,b,752,a)]. 3.78/4.70 Derived: -top_str(A) | empty_carrier(A) | element(f154(A),powerset(the_carrier(A))). [resolve(940,b,753,a)]. 3.78/4.70 Derived: -top_str(A) | empty_carrier(A) | -empty(f154(A)). [resolve(940,b,754,a)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(940,b,755,b)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,756,b)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,757,b)]. 3.78/4.70 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(940,b,758,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(940,b,759,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,760,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,761,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(940,b,762,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(940,b,763,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,764,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,765,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(940,b,766,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(940,b,767,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,768,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,769,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(940,b,770,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(940,b,771,b)]. 3.78/4.72 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,772,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,773,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(940,b,774,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(940,b,775,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,776,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,777,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(940,b,778,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(940,b,779,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,780,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,781,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(940,b,782,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(940,b,783,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,784,b)]. 3.78/4.73 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(940,b,785,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(940,b,786,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(940,b,787,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,788,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(940,b,789,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(940,b,790,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(940,b,791,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,792,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,793,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(940,b,794,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(940,b,795,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,796,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,797,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(940,b,798,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(940,b,799,b)]. 3.84/4.75 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,800,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,801,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(940,b,802,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(940,b,803,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,804,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(940,b,805,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(940,b,806,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(940,b,807,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,808,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,809,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(940,b,810,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(940,b,811,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,812,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,813,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(940,b,814,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(940,b,815,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(940,b,816,b)]. 3.86/4.77 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(940,b,817,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(940,b,818,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B). [resolve(940,b,819,a)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B). [resolve(940,b,820,a)]. 3.86/4.79 Derived: -top_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(940,b,821,a)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,822,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,823,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,824,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,825,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,826,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,827,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,828,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,829,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(940,b,830,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(940,b,831,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(940,b,832,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(940,b,833,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(940,b,834,b)]. 3.86/4.79 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(940,b,835,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(940,b,836,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(940,b,837,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,838,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,839,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,840,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,841,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,842,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,843,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,844,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,845,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,846,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,847,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,848,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,849,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,850,b)]. 3.86/4.81 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,851,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,852,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,853,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,854,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,855,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,856,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,857,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,858,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,859,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,860,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,861,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(940,b,862,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(940,b,863,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(940,b,864,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(940,b,865,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(940,b,866,b)]. 3.92/4.83 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(940,b,867,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(940,b,868,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(940,b,869,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,870,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,871,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,872,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,873,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,874,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,875,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,876,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,877,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,878,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,879,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,880,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,881,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,882,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,883,b)]. 3.95/4.85 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,884,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,885,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(940,b,886,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(940,b,887,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(940,b,888,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(940,b,889,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(940,b,890,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,891,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,892,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(940,b,893,b)]. 3.95/4.88 Derived: -top_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(940,b,894,a)]. 3.95/4.88 Derived: -top_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(940,b,895,a)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(940,b,896,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(940,b,897,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(940,b,898,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(940,b,899,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(940,b,900,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(940,b,901,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(940,b,902,b)]. 3.95/4.88 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(940,b,903,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(940,b,904,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(940,b,905,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(940,b,906,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(940,b,907,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(940,b,908,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(940,b,909,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(940,b,910,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(940,b,911,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(940,b,912,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(940,b,913,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(940,b,914,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(940,b,915,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | element(f244(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(940,b,917,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | f244(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(940,b,918,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | subset_complement(the_carrier(A),f244(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(940,b,919,b)]. 3.95/4.90 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | -element(D,powerset(the_carrier(A))) | D != f245(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f243(A,B)). [resolve(940,b,920,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | in(f245(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f243(A,B)). [resolve(940,b,921,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | element(f244(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(940,b,922,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | f244(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(940,b,923,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f244(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(940,b,924,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f245(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f243(A,B)). [resolve(940,b,925,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | in(f245(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f243(A,B)). [resolve(940,b,926,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | element(f244(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(940,b,927,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | f244(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(940,b,928,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | subset_complement(the_carrier(A),f244(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(940,b,929,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | -element(D,powerset(the_carrier(A))) | D != f245(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f243(A,B)). [resolve(940,b,930,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | in(f245(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f243(A,B)). [resolve(940,b,931,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | element(f244(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(940,b,932,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | f244(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(940,b,933,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | subset_complement(the_carrier(A),f244(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(940,b,934,b)]. 3.95/4.92 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | -element(C,powerset(the_carrier(A))) | C != f245(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f243(A,B)). [resolve(940,b,935,b)]. 4.03/4.94 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | in(f245(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f243(A,B)). [resolve(940,b,936,b)]. 4.03/4.94 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(940,b,937,a)]. 4.03/4.94 Derived: -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(940,b,938,a)]. 4.03/4.94 Derived: -top_str(A) | empty_carrier_subset(A) = empty_set. [resolve(940,b,939,a)]. 4.03/4.94 941 -meet_semilatt_str(A) | one_sorted_str(A) # label(dt_l1_lattices) # label(axiom). [clausify(423)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(941,b,669,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,670,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,671,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,672,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,673,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,674,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,675,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,676,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(941,b,677,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(941,b,678,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(941,b,679,a)]. 4.03/4.94 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,680,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(941,b,681,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,682,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,683,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,684,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,685,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,686,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,687,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,688,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,689,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,690,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,691,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,692,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(941,b,693,a)]. 4.03/4.96 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(941,b,694,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(941,b,695,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,696,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(941,b,697,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,698,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,699,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,700,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,701,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,702,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,703,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,704,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,705,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,706,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,707,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,708,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(941,b,709,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(941,b,710,a)]. 4.08/4.98 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(941,b,711,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,712,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(941,b,713,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,714,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,715,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,716,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,717,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,718,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,719,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,720,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,721,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,722,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,723,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,724,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(941,b,725,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(941,b,726,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(941,b,727,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,728,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(941,b,729,a)]. 4.08/5.00 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,730,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,731,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,732,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,733,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B). [resolve(941,b,734,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | ordered_pair(f81(A,B,D,C),f82(A,B,D,C)) = C. [resolve(941,b,735,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | -element(E,powerset(the_carrier(A))) | E != f81(A,B,D,C) | subset_complement(the_carrier(A),E) = f82(A,B,D,C). [resolve(941,b,736,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(f81(A,B,D,C),B). [resolve(941,b,737,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(C,cartesian_product2(B,D)). [resolve(941,b,738,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | element(f83(A,B,D,C,E,F),powerset(the_carrier(A))) | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(941,b,739,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | f83(A,B,D,C,E,F) = E | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(941,b,740,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(A),f83(A,B,D,C,E,F)) != F | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(941,b,741,b)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -empty(the_carrier(A)) | empty_carrier(A). [resolve(941,b,742,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(941,b,743,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(941,b,744,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(941,b,745,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(941,b,746,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)). [resolve(941,b,747,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)). [resolve(941,b,748,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)). [resolve(941,b,749,a)]. 4.08/5.02 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)). [resolve(941,b,750,a)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)). [resolve(941,b,752,a)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | empty_carrier(A) | element(f154(A),powerset(the_carrier(A))). [resolve(941,b,753,a)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(f154(A)). [resolve(941,b,754,a)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,755,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,756,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,757,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,758,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,759,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,760,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,761,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,762,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(941,b,763,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,764,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,765,b)]. 4.14/5.04 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,766,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(941,b,767,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,768,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,769,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(941,b,770,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,771,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,772,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,773,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,774,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,775,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,776,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,777,b)]. 4.14/5.06 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,778,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(941,b,779,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,780,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,781,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,782,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(941,b,783,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,784,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,785,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(941,b,786,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,787,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,788,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,789,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,790,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,791,b)]. 4.17/5.08 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,792,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,793,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,794,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(941,b,795,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,796,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,797,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,798,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(941,b,799,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,800,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,801,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(941,b,802,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,803,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,804,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,805,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,806,b)]. 4.17/5.09 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,807,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,808,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,809,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,810,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(941,b,811,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,812,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,813,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,814,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(941,b,815,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,816,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,817,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(941,b,818,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B). [resolve(941,b,819,a)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B). [resolve(941,b,820,a)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(941,b,821,a)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,822,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,823,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,824,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,825,b)]. 4.17/5.12 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,826,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,827,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,828,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,829,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(941,b,830,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(941,b,831,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(941,b,832,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(941,b,833,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(941,b,834,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,835,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,836,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,837,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,838,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,839,b)]. 4.23/5.14 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,840,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,841,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,842,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,843,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,844,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,845,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,846,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,847,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,848,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,849,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,850,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,851,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,852,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,853,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,854,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,855,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,856,b)]. 4.23/5.16 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,857,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,858,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,859,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,860,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,861,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(941,b,862,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(941,b,863,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(941,b,864,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(941,b,865,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(941,b,866,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,867,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,868,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,869,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,870,b)]. 4.28/5.18 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,871,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,872,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,873,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,874,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,875,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,876,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,877,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,878,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,879,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,880,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,881,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,882,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,883,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,884,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,885,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,886,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,887,b)]. 4.28/5.20 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,888,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,889,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,890,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,891,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,892,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,893,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(941,b,894,a)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(941,b,895,a)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(941,b,896,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(941,b,897,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(941,b,898,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(941,b,899,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(941,b,900,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(941,b,901,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(941,b,902,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(941,b,903,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(941,b,904,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(941,b,905,b)]. 4.28/5.22 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(941,b,906,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(941,b,907,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(941,b,908,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(941,b,909,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(941,b,910,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(941,b,911,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(941,b,912,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(941,b,913,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(941,b,914,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(941,b,915,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | element(f244(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,917,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | f244(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,918,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | subset_complement(the_carrier(A),f244(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,919,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | -element(D,powerset(the_carrier(A))) | D != f245(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f243(A,B)). [resolve(941,b,920,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | in(f245(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f243(A,B)). [resolve(941,b,921,b)]. 4.28/5.24 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | element(f244(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,922,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | f244(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,923,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f244(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,924,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f245(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f243(A,B)). [resolve(941,b,925,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | in(f245(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f243(A,B)). [resolve(941,b,926,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | element(f244(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,927,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | f244(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,928,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | subset_complement(the_carrier(A),f244(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,929,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | -element(D,powerset(the_carrier(A))) | D != f245(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f243(A,B)). [resolve(941,b,930,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | in(f245(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f243(A,B)). [resolve(941,b,931,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | element(f244(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,932,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | f244(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,933,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | subset_complement(the_carrier(A),f244(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,934,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | -element(C,powerset(the_carrier(A))) | C != f245(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f243(A,B)). [resolve(941,b,935,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | in(f245(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f243(A,B)). [resolve(941,b,936,b)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(941,b,937,a)]. 4.36/5.27 Derived: -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(941,b,938,a)]. 4.51/5.40 Derived: -meet_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(941,b,939,a)]. 4.51/5.40 942 one_sorted_str(c25) # label(rc3_struct_0) # label(axiom). [clausify(471)]. 4.51/5.40 Derived: cast_as_carrier_subset(c25) = the_carrier(c25). [resolve(942,a,669,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | relation(f60(c25,A)). [resolve(942,a,670,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | relation_dom(f60(c25,A)) = A. [resolve(942,a,671,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | -in(D,A) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f60(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,672,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | function(f60(c25,A)). [resolve(942,a,673,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | f59(c25,A,C) = f58(c25,A) | relation(f60(c25,A)). [resolve(942,a,674,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | f59(c25,A,C) = f58(c25,A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,675,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | f59(c25,A,C) = f58(c25,A) | -in(D,A) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f60(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,676,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | f59(c25,A,C) = f58(c25,A) | function(f60(c25,A)). [resolve(942,a,677,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | relation(f60(c25,A)). [resolve(942,a,678,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | relation_dom(f60(c25,A)) = A. [resolve(942,a,679,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f60(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,680,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | function(f60(c25,A)). [resolve(942,a,681,a)]. 4.51/5.40 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | in(f58(c25,A),A) | relation(f60(c25,A)). [resolve(942,a,682,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | in(f58(c25,A),A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,683,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | in(f58(c25,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,684,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f56(c25,A) | in(f58(c25,A),A) | function(f60(c25,A)). [resolve(942,a,685,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | relation(f60(c25,A)). [resolve(942,a,686,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | relation_dom(f60(c25,A)) = A. [resolve(942,a,687,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | -in(D,A) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f60(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,688,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | element(f59(c25,A,C),powerset(the_carrier(c25))) | function(f60(c25,A)). [resolve(942,a,689,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | f59(c25,A,C) = f58(c25,A) | relation(f60(c25,A)). [resolve(942,a,690,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | f59(c25,A,C) = f58(c25,A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,691,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | f59(c25,A,C) = f58(c25,A) | -in(D,A) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f60(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,692,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | f59(c25,A,C) = f58(c25,A) | function(f60(c25,A)). [resolve(942,a,693,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | relation(f60(c25,A)). [resolve(942,a,694,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | relation_dom(f60(c25,A)) = A. [resolve(942,a,695,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f60(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,696,a)]. 4.51/5.42 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,C)) != C | function(f60(c25,A)). [resolve(942,a,697,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | in(f58(c25,A),A) | relation(f60(c25,A)). [resolve(942,a,698,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | in(f58(c25,A),A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,699,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | in(f58(c25,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,700,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f55(c25,A) | subset_complement(the_carrier(c25),B) = f57(c25,A) | in(f58(c25,A),A) | function(f60(c25,A)). [resolve(942,a,701,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | relation(f60(c25,A)). [resolve(942,a,702,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | relation_dom(f60(c25,A)) = A. [resolve(942,a,703,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,704,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | function(f60(c25,A)). [resolve(942,a,705,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | f59(c25,A,B) = f58(c25,A) | relation(f60(c25,A)). [resolve(942,a,706,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | f59(c25,A,B) = f58(c25,A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,707,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | f59(c25,A,B) = f58(c25,A) | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,708,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | f59(c25,A,B) = f58(c25,A) | function(f60(c25,A)). [resolve(942,a,709,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | relation(f60(c25,A)). [resolve(942,a,710,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | relation_dom(f60(c25,A)) = A. [resolve(942,a,711,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,712,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | function(f60(c25,A)). [resolve(942,a,713,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | in(f58(c25,A),A) | relation(f60(c25,A)). [resolve(942,a,714,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | in(f58(c25,A),A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,715,a)]. 4.51/5.44 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | in(f58(c25,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c25))) | C != B | apply(f60(c25,A),B) = subset_complement(the_carrier(c25),C). [resolve(942,a,716,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f55(c25,A),A) | in(f58(c25,A),A) | function(f60(c25,A)). [resolve(942,a,717,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | relation(f60(c25,A)). [resolve(942,a,718,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | relation_dom(f60(c25,A)) = A. [resolve(942,a,719,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,720,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | element(f59(c25,A,B),powerset(the_carrier(c25))) | function(f60(c25,A)). [resolve(942,a,721,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | f59(c25,A,B) = f58(c25,A) | relation(f60(c25,A)). [resolve(942,a,722,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | f59(c25,A,B) = f58(c25,A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,723,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | f59(c25,A,B) = f58(c25,A) | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,724,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | f59(c25,A,B) = f58(c25,A) | function(f60(c25,A)). [resolve(942,a,725,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | relation(f60(c25,A)). [resolve(942,a,726,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | relation_dom(f60(c25,A)) = A. [resolve(942,a,727,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f60(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,728,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | subset_complement(the_carrier(c25),f59(c25,A,B)) != B | function(f60(c25,A)). [resolve(942,a,729,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | in(f58(c25,A),A) | relation(f60(c25,A)). [resolve(942,a,730,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | in(f58(c25,A),A) | relation_dom(f60(c25,A)) = A. [resolve(942,a,731,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | in(f58(c25,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c25))) | C != B | apply(f60(c25,A),B) = subset_complement(the_carrier(c25),C). [resolve(942,a,732,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f57(c25,A) != f56(c25,A) | in(f58(c25,A),A) | function(f60(c25,A)). [resolve(942,a,733,a)]. 4.56/5.46 Derived: -element(A,powerset(the_carrier(c25))) | subset_complement(the_carrier(c25),A) = subset_difference(the_carrier(c25),cast_as_carrier_subset(c25),A). [resolve(942,a,734,a)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -in(B,f80(c25,A,C)) | ordered_pair(f81(c25,A,C,B),f82(c25,A,C,B)) = B. [resolve(942,a,735,b)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -in(B,f80(c25,A,C)) | -element(D,powerset(the_carrier(c25))) | D != f81(c25,A,C,B) | subset_complement(the_carrier(c25),D) = f82(c25,A,C,B). [resolve(942,a,736,b)]. 4.56/5.46 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -in(B,f80(c25,A,C)) | in(f81(c25,A,C,B),A). [resolve(942,a,737,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -in(B,f80(c25,A,C)) | in(B,cartesian_product2(A,C)). [resolve(942,a,738,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(B,f80(c25,A,C)) | ordered_pair(D,E) != B | element(f83(c25,A,C,B,D,E),powerset(the_carrier(c25))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(942,a,739,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(B,f80(c25,A,C)) | ordered_pair(D,E) != B | f83(c25,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(942,a,740,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(B,f80(c25,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c25),f83(c25,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(942,a,741,b)]. 4.56/5.49 Derived: -empty(the_carrier(c25)) | empty_carrier(c25). [resolve(942,a,742,a)]. 4.56/5.49 Derived: empty(the_carrier(c25)) | -empty_carrier(c25). [resolve(942,a,743,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(B,C) != D | element(f139(c25,A,E,D,B,C),powerset(the_carrier(c25))) | -in(B,complements_of_subsets(the_carrier(c25),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c25),A),E)) | in(D,f138(c25,A,E)). [resolve(942,a,744,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(B,C) != D | f139(c25,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c25),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c25),A),E)) | in(D,f138(c25,A,E)). [resolve(942,a,745,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c25),f139(c25,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c25),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c25),A),E)) | in(D,f138(c25,A,E)). [resolve(942,a,746,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f140(c25,A,B,C),f141(c25,A,B,C)) = C | -in(C,f138(c25,A,B)). [resolve(942,a,747,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f140(c25,A,C,D) | subset_complement(the_carrier(c25),B) = f141(c25,A,C,D) | -in(D,f138(c25,A,C)). [resolve(942,a,748,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f140(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)) | -in(C,f138(c25,A,B)). [resolve(942,a,749,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)) | -in(B,f138(c25,A,C)). [resolve(942,a,750,a)]. 4.56/5.49 Derived: identity_on_carrier(c25) = identity_as_relation_of(the_carrier(c25)). [resolve(942,a,752,a)]. 4.56/5.49 Derived: empty_carrier(c25) | element(f154(c25),powerset(the_carrier(c25))). [resolve(942,a,753,a)]. 4.56/5.49 Derived: empty_carrier(c25) | -empty(f154(c25)). [resolve(942,a,754,a)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | function(f164(c25,A)). [resolve(942,a,755,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,756,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,757,b)]. 4.56/5.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | relation(f164(c25,A)). [resolve(942,a,758,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | function(f164(c25,A)). [resolve(942,a,759,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,760,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | -in(D,complements_of_subsets(the_carrier(c25),A)) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f164(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,761,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | relation(f164(c25,A)). [resolve(942,a,762,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | f163(c25,A,C) = f162(c25,A) | function(f164(c25,A)). [resolve(942,a,763,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | f163(c25,A,C) = f162(c25,A) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,764,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | f163(c25,A,C) = f162(c25,A) | -in(D,complements_of_subsets(the_carrier(c25),A)) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f164(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,765,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | f163(c25,A,C) = f162(c25,A) | relation(f164(c25,A)). [resolve(942,a,766,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | function(f164(c25,A)). [resolve(942,a,767,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,768,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c25),A)) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f164(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,769,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f161(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | relation(f164(c25,A)). [resolve(942,a,770,b)]. 4.56/5.50 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | function(f164(c25,A)). [resolve(942,a,771,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,772,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,773,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | relation(f164(c25,A)). [resolve(942,a,774,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | function(f164(c25,A)). [resolve(942,a,775,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,776,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | -in(D,complements_of_subsets(the_carrier(c25),A)) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f164(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,777,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | element(f163(c25,A,C),powerset(the_carrier(c25))) | relation(f164(c25,A)). [resolve(942,a,778,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | f163(c25,A,C) = f162(c25,A) | function(f164(c25,A)). [resolve(942,a,779,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | f163(c25,A,C) = f162(c25,A) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,780,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | f163(c25,A,C) = f162(c25,A) | -in(D,complements_of_subsets(the_carrier(c25),A)) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f164(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,781,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | f163(c25,A,C) = f162(c25,A) | relation(f164(c25,A)). [resolve(942,a,782,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | function(f164(c25,A)). [resolve(942,a,783,b)]. 4.56/5.52 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,784,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c25),A)) | -element(E,powerset(the_carrier(c25))) | E != D | apply(f164(c25,A),D) = subset_complement(the_carrier(c25),E). [resolve(942,a,785,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f159(c25,A) | subset_complement(the_carrier(c25),B) = f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,C)) != C | relation(f164(c25,A)). [resolve(942,a,786,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | function(f164(c25,A)). [resolve(942,a,787,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,788,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | -element(C,powerset(the_carrier(c25))) | C != B | apply(f164(c25,A),B) = subset_complement(the_carrier(c25),C). [resolve(942,a,789,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | relation(f164(c25,A)). [resolve(942,a,790,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | element(f163(c25,A,B),powerset(the_carrier(c25))) | function(f164(c25,A)). [resolve(942,a,791,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | element(f163(c25,A,B),powerset(the_carrier(c25))) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,792,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | element(f163(c25,A,B),powerset(the_carrier(c25))) | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,793,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | element(f163(c25,A,B),powerset(the_carrier(c25))) | relation(f164(c25,A)). [resolve(942,a,794,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | f163(c25,A,B) = f162(c25,A) | function(f164(c25,A)). [resolve(942,a,795,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | f163(c25,A,B) = f162(c25,A) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,796,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | f163(c25,A,B) = f162(c25,A) | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,797,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | f163(c25,A,B) = f162(c25,A) | relation(f164(c25,A)). [resolve(942,a,798,b)]. 4.56/5.54 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | function(f164(c25,A)). [resolve(942,a,799,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,800,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,801,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f159(c25,A),complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | relation(f164(c25,A)). [resolve(942,a,802,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | function(f164(c25,A)). [resolve(942,a,803,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,804,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | -element(C,powerset(the_carrier(c25))) | C != B | apply(f164(c25,A),B) = subset_complement(the_carrier(c25),C). [resolve(942,a,805,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | in(f162(c25,A),complements_of_subsets(the_carrier(c25),A)) | relation(f164(c25,A)). [resolve(942,a,806,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | element(f163(c25,A,B),powerset(the_carrier(c25))) | function(f164(c25,A)). [resolve(942,a,807,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | element(f163(c25,A,B),powerset(the_carrier(c25))) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,808,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | element(f163(c25,A,B),powerset(the_carrier(c25))) | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,809,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | element(f163(c25,A,B),powerset(the_carrier(c25))) | relation(f164(c25,A)). [resolve(942,a,810,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | f163(c25,A,B) = f162(c25,A) | function(f164(c25,A)). [resolve(942,a,811,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | f163(c25,A,B) = f162(c25,A) | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,812,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | f163(c25,A,B) = f162(c25,A) | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,813,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | f163(c25,A,B) = f162(c25,A) | relation(f164(c25,A)). [resolve(942,a,814,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | function(f164(c25,A)). [resolve(942,a,815,b)]. 4.66/5.56 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | complements_of_subsets(the_carrier(c25),A) = relation_dom(f164(c25,A)). [resolve(942,a,816,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c25),A)) | -element(D,powerset(the_carrier(c25))) | D != C | apply(f164(c25,A),C) = subset_complement(the_carrier(c25),D). [resolve(942,a,817,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f161(c25,A) != f160(c25,A) | subset_complement(the_carrier(c25),f163(c25,A,B)) != B | relation(f164(c25,A)). [resolve(942,a,818,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -finite(complements_of_subsets(the_carrier(c25),A)) | finite(A). [resolve(942,a,819,a)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | finite(complements_of_subsets(the_carrier(c25),A)) | -finite(A). [resolve(942,a,820,a)]. 4.66/5.58 Derived: empty_carrier(c25) | -empty(cast_as_carrier_subset(c25)). [resolve(942,a,821,a)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,822,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,823,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,824,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,825,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,826,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,827,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,828,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) = f191(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,829,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | -in(D,f198(c25,A,C)) | in(f200(c25,A,C,D),A). [resolve(942,a,830,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | -in(D,f198(c25,A,C)) | -element(E,powerset(the_carrier(c25))) | E != f200(c25,A,C,D) | subset_complement(the_carrier(c25),E) = f201(c25,A,C,D). [resolve(942,a,831,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | -in(D,f198(c25,A,C)) | ordered_pair(f200(c25,A,C,D),f201(c25,A,C,D)) = D. [resolve(942,a,832,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | -in(D,f198(c25,A,C)) | f199(c25,A,C,D) = D. [resolve(942,a,833,b)]. 4.66/5.58 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | -in(D,f198(c25,A,C)) | in(f199(c25,A,C,D),cartesian_product2(A,C)). [resolve(942,a,834,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | in(D,f198(c25,A,C)) | -in(E,A) | element(f202(c25,A,C,D,F,E,V6),powerset(the_carrier(c25))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(942,a,835,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | in(D,f198(c25,A,C)) | -in(E,A) | f202(c25,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(942,a,836,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f194(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f195(c25,A,C) | in(D,f198(c25,A,C)) | -in(E,A) | subset_complement(the_carrier(c25),f202(c25,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(942,a,837,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,838,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,839,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,840,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,841,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,842,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,843,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,844,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f194(c25,A,B),A) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,845,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,846,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,847,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,848,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,849,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,850,b)]. 4.70/5.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,851,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,852,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f194(c25,A,B),f195(c25,A,B)) = f193(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,853,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,854,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,855,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,856,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,857,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,858,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,859,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,860,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f196(c25,A,B),A) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,861,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | -in(D,f198(c25,A,C)) | in(f200(c25,A,C,D),A). [resolve(942,a,862,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | -in(D,f198(c25,A,C)) | -element(E,powerset(the_carrier(c25))) | E != f200(c25,A,C,D) | subset_complement(the_carrier(c25),E) = f201(c25,A,C,D). [resolve(942,a,863,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | -in(D,f198(c25,A,C)) | ordered_pair(f200(c25,A,C,D),f201(c25,A,C,D)) = D. [resolve(942,a,864,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | -in(D,f198(c25,A,C)) | f199(c25,A,C,D) = D. [resolve(942,a,865,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | -in(D,f198(c25,A,C)) | in(f199(c25,A,C,D),cartesian_product2(A,C)). [resolve(942,a,866,b)]. 4.70/5.62 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | in(D,f198(c25,A,C)) | -in(E,A) | element(f202(c25,A,C,D,F,E,V6),powerset(the_carrier(c25))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(942,a,867,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | in(D,f198(c25,A,C)) | -in(E,A) | f202(c25,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(942,a,868,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f196(c25,A,C) | subset_complement(the_carrier(c25),B) = f197(c25,A,C) | in(D,f198(c25,A,C)) | -in(E,A) | subset_complement(the_carrier(c25),f202(c25,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(942,a,869,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,870,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,871,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,872,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,873,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,874,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,875,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,876,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f196(c25,A,B),f197(c25,A,B)) = f192(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,877,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,878,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,879,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,880,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,881,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,882,b)]. 4.76/5.64 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,883,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,884,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f192(c25,A,B) = f191(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,885,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | -in(C,f198(c25,A,B)) | in(f200(c25,A,B,C),A). [resolve(942,a,886,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | -in(C,f198(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f200(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f201(c25,A,B,C). [resolve(942,a,887,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | -in(C,f198(c25,A,B)) | ordered_pair(f200(c25,A,B,C),f201(c25,A,B,C)) = C. [resolve(942,a,888,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | -in(C,f198(c25,A,B)) | f199(c25,A,B,C) = C. [resolve(942,a,889,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | -in(C,f198(c25,A,B)) | in(f199(c25,A,B,C),cartesian_product2(A,B)). [resolve(942,a,890,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | element(f202(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,891,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | f202(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,892,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f193(c25,A,B) != f192(c25,A,B) | in(C,f198(c25,A,B)) | -in(D,A) | subset_complement(the_carrier(c25),f202(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(942,a,893,b)]. 4.76/5.67 Derived: element(empty_carrier_subset(c25),powerset(the_carrier(c25))). [resolve(942,a,894,a)]. 4.76/5.67 Derived: element(cast_as_carrier_subset(c25),powerset(the_carrier(c25))). [resolve(942,a,895,a)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f211(c25,A),A) | -in(B,f214(c25,A)) | in(f215(c25,A,B),A). [resolve(942,a,896,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f211(c25,A),A) | -in(B,f214(c25,A)) | -element(C,powerset(the_carrier(c25))) | C != f215(c25,A,B) | subset_complement(the_carrier(c25),C) = B. [resolve(942,a,897,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f211(c25,A),A) | in(B,f214(c25,A)) | -in(C,A) | element(f216(c25,A,B,C),powerset(the_carrier(c25))). [resolve(942,a,898,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f211(c25,A),A) | in(B,f214(c25,A)) | -in(C,A) | f216(c25,A,B,C) = C. [resolve(942,a,899,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f211(c25,A),A) | in(B,f214(c25,A)) | -in(C,A) | subset_complement(the_carrier(c25),f216(c25,A,B,C)) != B. [resolve(942,a,900,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f213(c25,A) | -in(C,f214(c25,A)) | in(f215(c25,A,C),A). [resolve(942,a,901,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f213(c25,A) | -in(C,f214(c25,A)) | -element(D,powerset(the_carrier(c25))) | D != f215(c25,A,C) | subset_complement(the_carrier(c25),D) = C. [resolve(942,a,902,b)]. 4.76/5.67 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f213(c25,A) | in(C,f214(c25,A)) | -in(D,A) | element(f216(c25,A,C,D),powerset(the_carrier(c25))). [resolve(942,a,903,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f213(c25,A) | in(C,f214(c25,A)) | -in(D,A) | f216(c25,A,C,D) = D. [resolve(942,a,904,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f213(c25,A) | in(C,f214(c25,A)) | -in(D,A) | subset_complement(the_carrier(c25),f216(c25,A,C,D)) != C. [resolve(942,a,905,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f212(c25,A) | -in(C,f214(c25,A)) | in(f215(c25,A,C),A). [resolve(942,a,906,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f212(c25,A) | -in(C,f214(c25,A)) | -element(D,powerset(the_carrier(c25))) | D != f215(c25,A,C) | subset_complement(the_carrier(c25),D) = C. [resolve(942,a,907,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f212(c25,A) | in(C,f214(c25,A)) | -in(D,A) | element(f216(c25,A,C,D),powerset(the_carrier(c25))). [resolve(942,a,908,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f212(c25,A) | in(C,f214(c25,A)) | -in(D,A) | f216(c25,A,C,D) = D. [resolve(942,a,909,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f211(c25,A) | subset_complement(the_carrier(c25),B) = f212(c25,A) | in(C,f214(c25,A)) | -in(D,A) | subset_complement(the_carrier(c25),f216(c25,A,C,D)) != C. [resolve(942,a,910,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f213(c25,A) != f212(c25,A) | -in(B,f214(c25,A)) | in(f215(c25,A,B),A). [resolve(942,a,911,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f213(c25,A) != f212(c25,A) | -in(B,f214(c25,A)) | -element(C,powerset(the_carrier(c25))) | C != f215(c25,A,B) | subset_complement(the_carrier(c25),C) = B. [resolve(942,a,912,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f213(c25,A) != f212(c25,A) | in(B,f214(c25,A)) | -in(C,A) | element(f216(c25,A,B,C),powerset(the_carrier(c25))). [resolve(942,a,913,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f213(c25,A) != f212(c25,A) | in(B,f214(c25,A)) | -in(C,A) | f216(c25,A,B,C) = C. [resolve(942,a,914,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f213(c25,A) != f212(c25,A) | in(B,f214(c25,A)) | -in(C,A) | subset_complement(the_carrier(c25),f216(c25,A,B,C)) != B. [resolve(942,a,915,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f241(c25,A) | element(f244(c25,A,C,D),powerset(the_carrier(c25))) | -in(D,complements_of_subsets(the_carrier(c25),A)) | in(C,f243(c25,A)). [resolve(942,a,917,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f241(c25,A) | f244(c25,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c25),A)) | in(C,f243(c25,A)). [resolve(942,a,918,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f241(c25,A) | subset_complement(the_carrier(c25),f244(c25,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c25),A)) | in(C,f243(c25,A)). [resolve(942,a,919,b)]. 4.76/5.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f241(c25,A) | -element(C,powerset(the_carrier(c25))) | C != f245(c25,A,D) | subset_complement(the_carrier(c25),C) = D | -in(D,f243(c25,A)). [resolve(942,a,920,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f241(c25,A) | in(f245(c25,A,C),complements_of_subsets(the_carrier(c25),A)) | -in(C,f243(c25,A)). [resolve(942,a,921,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f240(c25,A),complements_of_subsets(the_carrier(c25),A)) | element(f244(c25,A,B,C),powerset(the_carrier(c25))) | -in(C,complements_of_subsets(the_carrier(c25),A)) | in(B,f243(c25,A)). [resolve(942,a,922,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f240(c25,A),complements_of_subsets(the_carrier(c25),A)) | f244(c25,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c25),A)) | in(B,f243(c25,A)). [resolve(942,a,923,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f240(c25,A),complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f244(c25,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c25),A)) | in(B,f243(c25,A)). [resolve(942,a,924,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f240(c25,A),complements_of_subsets(the_carrier(c25),A)) | -element(B,powerset(the_carrier(c25))) | B != f245(c25,A,C) | subset_complement(the_carrier(c25),B) = C | -in(C,f243(c25,A)). [resolve(942,a,925,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f240(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(f245(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(B,f243(c25,A)). [resolve(942,a,926,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f242(c25,A) | element(f244(c25,A,C,D),powerset(the_carrier(c25))) | -in(D,complements_of_subsets(the_carrier(c25),A)) | in(C,f243(c25,A)). [resolve(942,a,927,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f242(c25,A) | f244(c25,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c25),A)) | in(C,f243(c25,A)). [resolve(942,a,928,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f242(c25,A) | subset_complement(the_carrier(c25),f244(c25,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c25),A)) | in(C,f243(c25,A)). [resolve(942,a,929,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f242(c25,A) | -element(C,powerset(the_carrier(c25))) | C != f245(c25,A,D) | subset_complement(the_carrier(c25),C) = D | -in(D,f243(c25,A)). [resolve(942,a,930,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f240(c25,A) | subset_complement(the_carrier(c25),B) = f242(c25,A) | in(f245(c25,A,C),complements_of_subsets(the_carrier(c25),A)) | -in(C,f243(c25,A)). [resolve(942,a,931,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f242(c25,A) != f241(c25,A) | element(f244(c25,A,B,C),powerset(the_carrier(c25))) | -in(C,complements_of_subsets(the_carrier(c25),A)) | in(B,f243(c25,A)). [resolve(942,a,932,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f242(c25,A) != f241(c25,A) | f244(c25,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c25),A)) | in(B,f243(c25,A)). [resolve(942,a,933,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f242(c25,A) != f241(c25,A) | subset_complement(the_carrier(c25),f244(c25,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c25),A)) | in(B,f243(c25,A)). [resolve(942,a,934,b)]. 4.76/5.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f242(c25,A) != f241(c25,A) | -element(B,powerset(the_carrier(c25))) | B != f245(c25,A,C) | subset_complement(the_carrier(c25),B) = C | -in(C,f243(c25,A)). [resolve(942,a,935,b)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f242(c25,A) != f241(c25,A) | in(f245(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(B,f243(c25,A)). [resolve(942,a,936,b)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -is_a_cover_of_carrier(c25,A) | union_of_subsets(the_carrier(c25),A) = cast_as_carrier_subset(c25). [resolve(942,a,937,a)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | is_a_cover_of_carrier(c25,A) | union_of_subsets(the_carrier(c25),A) != cast_as_carrier_subset(c25). [resolve(942,a,938,a)]. 6.26/7.21 Derived: empty_carrier_subset(c25) = empty_set. [resolve(942,a,939,a)]. 6.26/7.21 943 -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(484)]. 6.26/7.21 Derived: empty_carrier(c6) | -element(A,powerset(powerset(the_carrier(c6)))) | -is_a_cover_of_carrier(c6,A) | empty_set != A. [resolve(943,a,668,a)]. 6.26/7.21 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(943,a,751,b)]. 6.26/7.21 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(943,a,916,b)]. 6.26/7.21 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(943,a,940,b)]. 6.26/7.21 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(943,a,941,b)]. 6.26/7.21 Derived: empty_carrier(c25) | -element(A,powerset(powerset(the_carrier(c25)))) | -is_a_cover_of_carrier(c25,A) | empty_set != A. [resolve(943,a,942,a)]. 6.26/7.21 944 -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(499)]. 6.26/7.21 Derived: -element(A,powerset(the_carrier(c6))) | subset_intersection2(the_carrier(c6),A,cast_as_carrier_subset(c6)) = A. [resolve(944,a,668,a)]. 6.26/7.21 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -rel_str(B). [resolve(944,a,751,b)]. 6.26/7.21 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -join_semilatt_str(B). [resolve(944,a,916,b)]. 6.26/7.21 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -top_str(B). [resolve(944,a,940,b)]. 6.26/7.21 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -meet_semilatt_str(B). [resolve(944,a,941,b)]. 6.26/7.21 Derived: -element(A,powerset(the_carrier(c25))) | subset_intersection2(the_carrier(c25),A,cast_as_carrier_subset(c25)) = A. [resolve(944,a,942,a)]. 6.26/7.21 945 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | -in(ordered_pair(C,D),f333(A,B)) | in(C,B) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | -in(ordered_pair(B,C),f333(c6,A)) | in(B,A). [resolve(945,a,668,a)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -rel_str(B). [resolve(945,a,751,b)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -join_semilatt_str(B). [resolve(945,a,916,b)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -top_str(B). [resolve(945,a,940,b)]. 6.26/7.21 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -meet_semilatt_str(B). [resolve(945,a,941,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | -in(ordered_pair(B,C),f333(c25,A)) | in(B,A). [resolve(945,a,942,a)]. 6.26/7.23 946 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | -in(ordered_pair(C,D),f333(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | -in(ordered_pair(B,C),f333(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != B | subset_complement(the_carrier(c6),D) = C. [resolve(946,a,668,a)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(946,a,751,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(946,a,916,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(946,a,940,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(946,a,941,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | -in(ordered_pair(B,C),f333(c25,A)) | -element(D,powerset(the_carrier(c25))) | D != B | subset_complement(the_carrier(c25),D) = C. [resolve(946,a,942,a)]. 6.26/7.23 947 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | in(ordered_pair(C,D),f333(A,B)) | -in(C,B) | element(f334(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | in(ordered_pair(B,C),f333(c6,A)) | -in(B,A) | element(f334(c6,A,B,C),powerset(the_carrier(c6))). [resolve(947,a,668,a)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(947,a,751,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(947,a,916,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -top_str(B). [resolve(947,a,940,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(947,a,941,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | in(ordered_pair(B,C),f333(c25,A)) | -in(B,A) | element(f334(c25,A,B,C),powerset(the_carrier(c25))). [resolve(947,a,942,a)]. 6.26/7.23 948 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | in(ordered_pair(C,D),f333(A,B)) | -in(C,B) | f334(A,B,C,D) = C # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | in(ordered_pair(B,C),f333(c6,A)) | -in(B,A) | f334(c6,A,B,C) = B. [resolve(948,a,668,a)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -rel_str(B). [resolve(948,a,751,b)]. 6.26/7.23 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -join_semilatt_str(B). [resolve(948,a,916,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -top_str(B). [resolve(948,a,940,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(948,a,941,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | in(ordered_pair(B,C),f333(c25,A)) | -in(B,A) | f334(c25,A,B,C) = B. [resolve(948,a,942,a)]. 6.35/7.25 949 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | in(ordered_pair(C,D),f333(A,B)) | -in(C,B) | subset_complement(the_carrier(A),f334(A,B,C,D)) != D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | in(ordered_pair(B,C),f333(c6,A)) | -in(B,A) | subset_complement(the_carrier(c6),f334(c6,A,B,C)) != C. [resolve(949,a,668,a)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -rel_str(B). [resolve(949,a,751,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(949,a,916,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -top_str(B). [resolve(949,a,940,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(949,a,941,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | in(ordered_pair(B,C),f333(c25,A)) | -in(B,A) | subset_complement(the_carrier(c25),f334(c25,A,B,C)) != C. [resolve(949,a,942,a)]. 6.35/7.25 950 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | function(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | function(f333(c6,A)). [resolve(950,a,668,a)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -rel_str(B). [resolve(950,a,751,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -join_semilatt_str(B). [resolve(950,a,916,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -top_str(B). [resolve(950,a,940,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(950,a,941,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | function(f333(c25,A)). [resolve(950,a,942,a)]. 6.35/7.25 951 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f330(A,B),B) | relation(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f330(c6,A),A) | relation(f333(c6,A)). [resolve(951,a,668,a)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -rel_str(B). [resolve(951,a,751,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -join_semilatt_str(B). [resolve(951,a,916,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -top_str(B). [resolve(951,a,940,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(951,a,941,b)]. 6.35/7.25 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f330(c25,A),A) | relation(f333(c25,A)). [resolve(951,a,942,a)]. 6.35/7.26 952 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | -in(ordered_pair(D,E),f333(A,B)) | in(D,B) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | -in(ordered_pair(C,D),f333(c6,A)) | in(C,A). [resolve(952,a,668,a)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -rel_str(B). [resolve(952,a,751,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -join_semilatt_str(B). [resolve(952,a,916,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -top_str(B). [resolve(952,a,940,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -meet_semilatt_str(B). [resolve(952,a,941,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | -in(ordered_pair(C,D),f333(c25,A)) | in(C,A). [resolve(952,a,942,a)]. 6.35/7.26 953 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | -in(ordered_pair(D,E),f333(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | -in(ordered_pair(C,D),f333(c6,A)) | -element(E,powerset(the_carrier(c6))) | E != C | subset_complement(the_carrier(c6),E) = D. [resolve(953,a,668,a)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(953,a,751,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(953,a,916,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(953,a,940,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(953,a,941,b)]. 6.35/7.26 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | -in(ordered_pair(C,D),f333(c25,A)) | -element(E,powerset(the_carrier(c25))) | E != C | subset_complement(the_carrier(c25),E) = D. [resolve(953,a,942,a)]. 6.35/7.28 954 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | in(ordered_pair(D,E),f333(A,B)) | -in(D,B) | element(f334(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | in(ordered_pair(C,D),f333(c6,A)) | -in(C,A) | element(f334(c6,A,C,D),powerset(the_carrier(c6))). [resolve(954,a,668,a)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(954,a,751,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(954,a,916,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -top_str(B). [resolve(954,a,940,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(954,a,941,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | in(ordered_pair(C,D),f333(c25,A)) | -in(C,A) | element(f334(c25,A,C,D),powerset(the_carrier(c25))). [resolve(954,a,942,a)]. 6.35/7.28 955 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | in(ordered_pair(D,E),f333(A,B)) | -in(D,B) | f334(A,B,D,E) = D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | in(ordered_pair(C,D),f333(c6,A)) | -in(C,A) | f334(c6,A,C,D) = C. [resolve(955,a,668,a)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -rel_str(B). [resolve(955,a,751,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -join_semilatt_str(B). [resolve(955,a,916,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -top_str(B). [resolve(955,a,940,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(955,a,941,b)]. 6.35/7.28 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | in(ordered_pair(C,D),f333(c25,A)) | -in(C,A) | f334(c25,A,C,D) = C. [resolve(955,a,942,a)]. 6.40/7.30 956 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | in(ordered_pair(D,E),f333(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f334(A,B,D,E)) != E # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | in(ordered_pair(C,D),f333(c6,A)) | -in(C,A) | subset_complement(the_carrier(c6),f334(c6,A,C,D)) != D. [resolve(956,a,668,a)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -rel_str(B). [resolve(956,a,751,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(956,a,916,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -top_str(B). [resolve(956,a,940,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(956,a,941,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | in(ordered_pair(C,D),f333(c25,A)) | -in(C,A) | subset_complement(the_carrier(c25),f334(c25,A,C,D)) != D. [resolve(956,a,942,a)]. 6.40/7.30 957 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | function(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | function(f333(c6,A)). [resolve(957,a,668,a)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -rel_str(B). [resolve(957,a,751,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -join_semilatt_str(B). [resolve(957,a,916,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -top_str(B). [resolve(957,a,940,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(957,a,941,b)]. 6.40/7.30 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | function(f333(c25,A)). [resolve(957,a,942,a)]. 6.40/7.30 958 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f331(A,B) | relation(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f331(c6,A) | relation(f333(c6,A)). [resolve(958,a,668,a)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -rel_str(B). [resolve(958,a,751,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -join_semilatt_str(B). [resolve(958,a,916,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -top_str(B). [resolve(958,a,940,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(958,a,941,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f331(c25,A) | relation(f333(c25,A)). [resolve(958,a,942,a)]. 6.40/7.31 959 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | -in(ordered_pair(D,E),f333(A,B)) | in(D,B) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | -in(ordered_pair(C,D),f333(c6,A)) | in(C,A). [resolve(959,a,668,a)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -rel_str(B). [resolve(959,a,751,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -join_semilatt_str(B). [resolve(959,a,916,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -top_str(B). [resolve(959,a,940,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -meet_semilatt_str(B). [resolve(959,a,941,b)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | -in(ordered_pair(C,D),f333(c25,A)) | in(C,A). [resolve(959,a,942,a)]. 6.40/7.31 960 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | -in(ordered_pair(D,E),f333(A,B)) | -element(F,powerset(the_carrier(A))) | F != D | subset_complement(the_carrier(A),F) = E # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | -in(ordered_pair(C,D),f333(c6,A)) | -element(E,powerset(the_carrier(c6))) | E != C | subset_complement(the_carrier(c6),E) = D. [resolve(960,a,668,a)]. 6.40/7.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(960,a,751,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(960,a,916,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(960,a,940,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(960,a,941,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | -in(ordered_pair(C,D),f333(c25,A)) | -element(E,powerset(the_carrier(c25))) | E != C | subset_complement(the_carrier(c25),E) = D. [resolve(960,a,942,a)]. 6.40/7.33 961 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | in(ordered_pair(D,E),f333(A,B)) | -in(D,B) | element(f334(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | in(ordered_pair(C,D),f333(c6,A)) | -in(C,A) | element(f334(c6,A,C,D),powerset(the_carrier(c6))). [resolve(961,a,668,a)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(961,a,751,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(961,a,916,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -top_str(B). [resolve(961,a,940,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(961,a,941,b)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | in(ordered_pair(C,D),f333(c25,A)) | -in(C,A) | element(f334(c25,A,C,D),powerset(the_carrier(c25))). [resolve(961,a,942,a)]. 6.40/7.33 962 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | in(ordered_pair(D,E),f333(A,B)) | -in(D,B) | f334(A,B,D,E) = D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.33 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | in(ordered_pair(C,D),f333(c6,A)) | -in(C,A) | f334(c6,A,C,D) = C. [resolve(962,a,668,a)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -rel_str(B). [resolve(962,a,751,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -join_semilatt_str(B). [resolve(962,a,916,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -top_str(B). [resolve(962,a,940,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(962,a,941,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | in(ordered_pair(C,D),f333(c25,A)) | -in(C,A) | f334(c25,A,C,D) = C. [resolve(962,a,942,a)]. 6.40/7.35 963 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | in(ordered_pair(D,E),f333(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f334(A,B,D,E)) != E # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | in(ordered_pair(C,D),f333(c6,A)) | -in(C,A) | subset_complement(the_carrier(c6),f334(c6,A,C,D)) != D. [resolve(963,a,668,a)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -rel_str(B). [resolve(963,a,751,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(963,a,916,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -top_str(B). [resolve(963,a,940,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(963,a,941,b)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | in(ordered_pair(C,D),f333(c25,A)) | -in(C,A) | subset_complement(the_carrier(c25),f334(c25,A,C,D)) != D. [resolve(963,a,942,a)]. 6.40/7.35 964 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | function(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.40/7.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | function(f333(c6,A)). [resolve(964,a,668,a)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -rel_str(B). [resolve(964,a,751,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -join_semilatt_str(B). [resolve(964,a,916,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -top_str(B). [resolve(964,a,940,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(964,a,941,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | function(f333(c25,A)). [resolve(964,a,942,a)]. 6.47/7.37 965 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f330(A,B) | subset_complement(the_carrier(A),C) = f332(A,B) | relation(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f330(c6,A) | subset_complement(the_carrier(c6),B) = f332(c6,A) | relation(f333(c6,A)). [resolve(965,a,668,a)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -rel_str(B). [resolve(965,a,751,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -join_semilatt_str(B). [resolve(965,a,916,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -top_str(B). [resolve(965,a,940,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(965,a,941,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f330(c25,A) | subset_complement(the_carrier(c25),B) = f332(c25,A) | relation(f333(c25,A)). [resolve(965,a,942,a)]. 6.47/7.37 966 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | -in(ordered_pair(C,D),f333(A,B)) | in(C,B) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | -in(ordered_pair(B,C),f333(c6,A)) | in(B,A). [resolve(966,a,668,a)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -rel_str(B). [resolve(966,a,751,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -join_semilatt_str(B). [resolve(966,a,916,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -top_str(B). [resolve(966,a,940,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -meet_semilatt_str(B). [resolve(966,a,941,b)]. 6.47/7.37 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | -in(ordered_pair(B,C),f333(c25,A)) | in(B,A). [resolve(966,a,942,a)]. 6.47/7.37 967 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | -in(ordered_pair(C,D),f333(A,B)) | -element(E,powerset(the_carrier(A))) | E != C | subset_complement(the_carrier(A),E) = D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | -in(ordered_pair(B,C),f333(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != B | subset_complement(the_carrier(c6),D) = C. [resolve(967,a,668,a)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(967,a,751,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(967,a,916,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(967,a,940,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(967,a,941,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | -in(ordered_pair(B,C),f333(c25,A)) | -element(D,powerset(the_carrier(c25))) | D != B | subset_complement(the_carrier(c25),D) = C. [resolve(967,a,942,a)]. 6.49/7.39 968 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | in(ordered_pair(C,D),f333(A,B)) | -in(C,B) | element(f334(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | in(ordered_pair(B,C),f333(c6,A)) | -in(B,A) | element(f334(c6,A,B,C),powerset(the_carrier(c6))). [resolve(968,a,668,a)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(968,a,751,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(968,a,916,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -top_str(B). [resolve(968,a,940,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(968,a,941,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | in(ordered_pair(B,C),f333(c25,A)) | -in(B,A) | element(f334(c25,A,B,C),powerset(the_carrier(c25))). [resolve(968,a,942,a)]. 6.49/7.39 969 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | in(ordered_pair(C,D),f333(A,B)) | -in(C,B) | f334(A,B,C,D) = C # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | in(ordered_pair(B,C),f333(c6,A)) | -in(B,A) | f334(c6,A,B,C) = B. [resolve(969,a,668,a)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -rel_str(B). [resolve(969,a,751,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -join_semilatt_str(B). [resolve(969,a,916,b)]. 6.49/7.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -top_str(B). [resolve(969,a,940,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(969,a,941,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | in(ordered_pair(B,C),f333(c25,A)) | -in(B,A) | f334(c25,A,B,C) = B. [resolve(969,a,942,a)]. 6.49/7.41 970 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | in(ordered_pair(C,D),f333(A,B)) | -in(C,B) | subset_complement(the_carrier(A),f334(A,B,C,D)) != D # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | in(ordered_pair(B,C),f333(c6,A)) | -in(B,A) | subset_complement(the_carrier(c6),f334(c6,A,B,C)) != C. [resolve(970,a,668,a)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -rel_str(B). [resolve(970,a,751,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(970,a,916,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -top_str(B). [resolve(970,a,940,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(970,a,941,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | in(ordered_pair(B,C),f333(c25,A)) | -in(B,A) | subset_complement(the_carrier(c25),f334(c25,A,B,C)) != C. [resolve(970,a,942,a)]. 6.49/7.41 971 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | function(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | function(f333(c6,A)). [resolve(971,a,668,a)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -rel_str(B). [resolve(971,a,751,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -join_semilatt_str(B). [resolve(971,a,916,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -top_str(B). [resolve(971,a,940,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(971,a,941,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | function(f333(c25,A)). [resolve(971,a,942,a)]. 6.49/7.41 972 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f332(A,B) != f331(A,B) | relation(f333(A,B)) # label(s1_funct_1__e4_7_2__tops_2__1) # label(lemma). [clausify(522)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f332(c6,A) != f331(c6,A) | relation(f333(c6,A)). [resolve(972,a,668,a)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -rel_str(B). [resolve(972,a,751,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -join_semilatt_str(B). [resolve(972,a,916,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -top_str(B). [resolve(972,a,940,b)]. 6.49/7.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(972,a,941,b)]. 6.58/7.48 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f332(c25,A) != f331(c25,A) | relation(f333(c25,A)). [resolve(972,a,942,a)]. 6.58/7.48 973 -one_sorted_str(A) | v5_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(525)]. 6.58/7.48 Derived: v5_membered(empty_carrier_subset(c6)). [resolve(973,a,668,a)]. 6.58/7.48 Derived: v5_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(973,a,751,b)]. 6.58/7.48 Derived: v5_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(973,a,916,b)]. 6.58/7.48 Derived: v5_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(973,a,940,b)]. 6.58/7.48 Derived: v5_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(973,a,941,b)]. 6.58/7.48 Derived: v5_membered(empty_carrier_subset(c25)). [resolve(973,a,942,a)]. 6.58/7.48 974 -one_sorted_str(A) | v4_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(525)]. 6.58/7.48 Derived: v4_membered(empty_carrier_subset(c6)). [resolve(974,a,668,a)]. 6.58/7.48 Derived: v4_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(974,a,751,b)]. 6.58/7.48 Derived: v4_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(974,a,916,b)]. 6.58/7.48 Derived: v4_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(974,a,940,b)]. 6.58/7.48 Derived: v4_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(974,a,941,b)]. 6.58/7.48 Derived: v4_membered(empty_carrier_subset(c25)). [resolve(974,a,942,a)]. 6.58/7.48 975 -one_sorted_str(A) | v3_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(525)]. 6.58/7.48 Derived: v3_membered(empty_carrier_subset(c6)). [resolve(975,a,668,a)]. 6.58/7.48 Derived: v3_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(975,a,751,b)]. 6.58/7.48 Derived: v3_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(975,a,916,b)]. 6.58/7.48 Derived: v3_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(975,a,940,b)]. 6.58/7.48 Derived: v3_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(975,a,941,b)]. 6.58/7.48 Derived: v3_membered(empty_carrier_subset(c25)). [resolve(975,a,942,a)]. 6.58/7.48 976 -one_sorted_str(A) | v2_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(525)]. 6.58/7.48 Derived: v2_membered(empty_carrier_subset(c6)). [resolve(976,a,668,a)]. 6.58/7.48 Derived: v2_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(976,a,751,b)]. 6.58/7.48 Derived: v2_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(976,a,916,b)]. 6.58/7.48 Derived: v2_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(976,a,940,b)]. 6.58/7.48 Derived: v2_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(976,a,941,b)]. 6.58/7.48 Derived: v2_membered(empty_carrier_subset(c25)). [resolve(976,a,942,a)]. 6.58/7.48 977 -one_sorted_str(A) | v1_membered(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(525)]. 6.58/7.48 Derived: v1_membered(empty_carrier_subset(c6)). [resolve(977,a,668,a)]. 6.58/7.48 Derived: v1_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(977,a,751,b)]. 6.58/7.48 Derived: v1_membered(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(977,a,916,b)]. 6.58/7.48 Derived: v1_membered(empty_carrier_subset(A)) | -top_str(A). [resolve(977,a,940,b)]. 6.58/7.48 Derived: v1_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(977,a,941,b)]. 6.58/7.48 Derived: v1_membered(empty_carrier_subset(c25)). [resolve(977,a,942,a)]. 6.58/7.48 978 -one_sorted_str(A) | empty(empty_carrier_subset(A)) # label(fc1_pre_topc) # label(axiom). [clausify(525)]. 6.58/7.48 Derived: empty(empty_carrier_subset(c6)). [resolve(978,a,668,a)]. 6.58/7.48 Derived: empty(empty_carrier_subset(A)) | -rel_str(A). [resolve(978,a,751,b)]. 6.58/7.48 Derived: empty(empty_carrier_subset(A)) | -join_semilatt_str(A). [resolve(978,a,916,b)]. 6.58/7.48 Derived: empty(empty_carrier_subset(A)) | -top_str(A). [resolve(978,a,940,b)]. 6.58/7.48 Derived: empty(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(978,a,941,b)]. 6.58/7.48 Derived: empty(empty_carrier_subset(c25)). [resolve(978,a,942,a)]. 6.58/7.48 979 empty_carrier(A) | -one_sorted_str(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B # label(t91_tmap_1) # label(lemma). [clausify(555)]. 6.69/7.61 Derived: empty_carrier(c6) | -element(A,the_carrier(c6)) | apply_as_element(the_carrier(c6),the_carrier(c6),identity_on_carrier(c6),A) = A. [resolve(979,b,668,a)]. 6.69/7.61 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -rel_str(A). [resolve(979,b,751,b)]. 6.69/7.61 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -join_semilatt_str(A). [resolve(979,b,916,b)]. 6.69/7.61 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -top_str(A). [resolve(979,b,940,b)]. 6.69/7.61 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -meet_semilatt_str(A). [resolve(979,b,941,b)]. 6.69/7.61 Derived: empty_carrier(c25) | -element(A,the_carrier(c25)) | apply_as_element(the_carrier(c25),the_carrier(c25),identity_on_carrier(c25),A) = A. [resolve(979,b,942,a)]. 6.69/7.61 980 empty_carrier(A) | -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | -in(C,subset_complement(the_carrier(A),B)) | -in(C,B) # label(l40_tops_1) # label(lemma). [clausify(572)]. 6.69/7.61 Derived: empty_carrier(c6) | -element(A,powerset(the_carrier(c6))) | -element(B,the_carrier(c6)) | -in(B,subset_complement(the_carrier(c6),A)) | -in(B,A). [resolve(980,b,668,a)]. 6.69/7.61 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) | -rel_str(A). [resolve(980,b,751,b)]. 6.69/7.61 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(980,b,916,b)]. 6.69/7.61 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(980,b,940,b)]. 6.69/7.61 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) | -meet_semilatt_str(A). [resolve(980,b,941,b)]. 6.69/7.61 Derived: empty_carrier(c25) | -element(A,powerset(the_carrier(c25))) | -element(B,the_carrier(c25)) | -in(B,subset_complement(the_carrier(c25),A)) | -in(B,A). [resolve(980,b,942,a)]. 6.69/7.61 981 empty_carrier(A) | -one_sorted_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,the_carrier(A)) | in(C,subset_complement(the_carrier(A),B)) | in(C,B) # label(l40_tops_1) # label(lemma). [clausify(572)]. 6.69/7.61 Derived: empty_carrier(c6) | -element(A,powerset(the_carrier(c6))) | -element(B,the_carrier(c6)) | in(B,subset_complement(the_carrier(c6),A)) | in(B,A). [resolve(981,b,668,a)]. 6.69/7.61 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) | -rel_str(A). [resolve(981,b,751,b)]. 6.69/7.61 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(981,b,916,b)]. 6.69/7.61 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(981,b,940,b)]. 6.69/7.61 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) | -meet_semilatt_str(A). [resolve(981,b,941,b)]. 6.69/7.61 Derived: empty_carrier(c25) | -element(A,powerset(the_carrier(c25))) | -element(B,the_carrier(c25)) | in(B,subset_complement(the_carrier(c25),A)) | in(B,A). [resolve(981,b,942,a)]. 6.69/7.61 982 empty_carrier(A) | -one_sorted_str(A) | -empty(the_carrier(A)) # label(fc1_struct_0) # label(axiom). [clausify(600)]. 6.69/7.61 983 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(983,a,668,a)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(983,a,751,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(983,a,916,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(983,a,940,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(983,a,941,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(983,a,942,a)]. 6.75/7.63 984 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(984,a,668,a)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(984,a,751,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(984,a,916,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(984,a,940,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(984,a,941,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(984,a,942,a)]. 6.75/7.63 985 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(985,a,668,a)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(985,a,751,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(985,a,916,b)]. 6.75/7.63 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(985,a,940,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(985,a,941,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(985,a,942,a)]. 6.75/7.65 986 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(986,a,668,a)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(986,a,751,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(986,a,916,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(986,a,940,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(986,a,941,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(986,a,942,a)]. 6.75/7.65 987 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(987,a,668,a)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(987,a,751,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(987,a,916,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(987,a,940,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(987,a,941,b)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(987,a,942,a)]. 6.75/7.65 988 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.75/7.65 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(988,a,668,a)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(988,a,751,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(988,a,916,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(988,a,940,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(988,a,941,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(988,a,942,a)]. 6.78/7.66 989 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(989,a,668,a)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(989,a,751,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(989,a,916,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(989,a,940,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(989,a,941,b)]. 6.78/7.66 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(989,a,942,a)]. 6.78/7.68 990 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f380(A,B,C) = f379(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f380(c6,A,B) = f379(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(990,a,668,a)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(990,a,751,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(990,a,916,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(990,a,940,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(990,a,941,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f380(c25,A,B) = f379(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(990,a,942,a)]. 6.78/7.68 991 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(991,a,668,a)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(991,a,751,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(991,a,916,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(991,a,940,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(991,a,941,b)]. 6.78/7.68 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(991,a,942,a)]. 6.78/7.69 992 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(992,a,668,a)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(992,a,751,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(992,a,916,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(992,a,940,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(992,a,941,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(992,a,942,a)]. 6.78/7.69 993 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(993,a,668,a)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(993,a,751,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(993,a,916,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(993,a,940,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(993,a,941,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(993,a,942,a)]. 6.78/7.69 994 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(994,a,668,a)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(994,a,751,b)]. 6.78/7.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(994,a,916,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(994,a,940,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(994,a,941,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(994,a,942,a)]. 6.78/7.71 995 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(995,a,668,a)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(995,a,751,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(995,a,916,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(995,a,940,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(995,a,941,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(995,a,942,a)]. 6.78/7.71 996 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(996,a,668,a)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(996,a,751,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(996,a,916,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(996,a,940,b)]. 6.78/7.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(996,a,941,b)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(996,a,942,a)]. 6.84/7.72 997 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(997,a,668,a)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(997,a,751,b)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(997,a,916,b)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(997,a,940,b)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(997,a,941,b)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(997,a,942,a)]. 6.84/7.72 998 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) = f379(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) = f379(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(998,a,668,a)]. 6.84/7.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(998,a,751,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(998,a,916,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(998,a,940,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(998,a,941,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) = f379(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(998,a,942,a)]. 6.84/7.74 999 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(999,a,668,a)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(999,a,751,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(999,a,916,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(999,a,940,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(999,a,941,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(999,a,942,a)]. 6.84/7.74 1000 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(1000,a,668,a)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1000,a,751,b)]. 6.84/7.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(1000,a,916,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(1000,a,940,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1000,a,941,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(1000,a,942,a)]. 6.84/7.76 1001 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(1001,a,668,a)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1001,a,751,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(1001,a,916,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(1001,a,940,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1001,a,941,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(1001,a,942,a)]. 6.84/7.76 1002 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(1002,a,668,a)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1002,a,751,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(1002,a,916,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(1002,a,940,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1002,a,941,b)]. 6.84/7.76 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(1002,a,942,a)]. 6.88/7.77 1003 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1003,a,668,a)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1003,a,751,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1003,a,916,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1003,a,940,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1003,a,941,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1003,a,942,a)]. 6.88/7.77 1004 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1004,a,668,a)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1004,a,751,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1004,a,916,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1004,a,940,b)]. 6.88/7.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1004,a,941,b)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1004,a,942,a)]. 6.88/7.78 1005 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1005,a,668,a)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1005,a,751,b)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1005,a,916,b)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1005,a,940,b)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1005,a,941,b)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1005,a,942,a)]. 6.88/7.78 1006 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f382(A,B,C),f383(A,B,C)) = f381(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f382(c6,A,B),f383(c6,A,B)) = f381(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1006,a,668,a)]. 6.88/7.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1006,a,751,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1006,a,916,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1006,a,940,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1006,a,941,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f382(c25,A,B),f383(c25,A,B)) = f381(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1006,a,942,a)]. 6.88/7.80 1007 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | -in(E,f386(A,B,D)) | in(f388(A,B,D,E),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | -in(D,f386(c6,A,C)) | in(f388(c6,A,C,D),complements_of_subsets(the_carrier(c6),A)). [resolve(1007,a,668,a)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1007,a,751,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1007,a,916,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1007,a,940,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1007,a,941,b)]. 6.88/7.80 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | -in(D,f386(c25,A,C)) | in(f388(c25,A,C,D),complements_of_subsets(the_carrier(c25),A)). [resolve(1007,a,942,a)]. 6.88/7.80 1008 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | -in(E,f386(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f388(A,B,D,E) | subset_complement(the_carrier(A),F) = f389(A,B,D,E) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | -in(D,f386(c6,A,C)) | -element(E,powerset(the_carrier(c6))) | E != f388(c6,A,C,D) | subset_complement(the_carrier(c6),E) = f389(c6,A,C,D). [resolve(1008,a,668,a)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -rel_str(B). [resolve(1008,a,751,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -join_semilatt_str(B). [resolve(1008,a,916,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -top_str(B). [resolve(1008,a,940,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -meet_semilatt_str(B). [resolve(1008,a,941,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | -in(D,f386(c25,A,C)) | -element(E,powerset(the_carrier(c25))) | E != f388(c25,A,C,D) | subset_complement(the_carrier(c25),E) = f389(c25,A,C,D). [resolve(1008,a,942,a)]. 6.88/7.81 1009 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | -in(E,f386(A,B,D)) | ordered_pair(f388(A,B,D,E),f389(A,B,D,E)) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | -in(D,f386(c6,A,C)) | ordered_pair(f388(c6,A,C,D),f389(c6,A,C,D)) = D. [resolve(1009,a,668,a)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -rel_str(B). [resolve(1009,a,751,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -join_semilatt_str(B). [resolve(1009,a,916,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -top_str(B). [resolve(1009,a,940,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -meet_semilatt_str(B). [resolve(1009,a,941,b)]. 6.88/7.81 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | -in(D,f386(c25,A,C)) | ordered_pair(f388(c25,A,C,D),f389(c25,A,C,D)) = D. [resolve(1009,a,942,a)]. 6.88/7.83 1010 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | -in(E,f386(A,B,D)) | f387(A,B,D,E) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | -in(D,f386(c6,A,C)) | f387(c6,A,C,D) = D. [resolve(1010,a,668,a)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -rel_str(B). [resolve(1010,a,751,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -join_semilatt_str(B). [resolve(1010,a,916,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -top_str(B). [resolve(1010,a,940,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -meet_semilatt_str(B). [resolve(1010,a,941,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | -in(D,f386(c25,A,C)) | f387(c25,A,C,D) = D. [resolve(1010,a,942,a)]. 6.88/7.83 1011 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | -in(E,f386(A,B,D)) | in(f387(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | -in(D,f386(c6,A,C)) | in(f387(c6,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1011,a,668,a)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1011,a,751,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1011,a,916,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1011,a,940,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1011,a,941,b)]. 6.88/7.83 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | -in(D,f386(c25,A,C)) | in(f387(c25,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1011,a,942,a)]. 6.96/7.84 1012 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | in(E,f386(A,B,D)) | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | in(D,f386(c6,A,C)) | -in(E,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,C,D,F,E,V6),powerset(the_carrier(c6))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1012,a,668,a)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1012,a,751,b)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1012,a,916,b)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1012,a,940,b)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1012,a,941,b)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | in(D,f386(c25,A,C)) | -in(E,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,C,D,F,E,V6),powerset(the_carrier(c25))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1012,a,942,a)]. 6.96/7.84 1013 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | in(E,f386(A,B,D)) | -in(F,complements_of_subsets(the_carrier(A),B)) | f390(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.96/7.84 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | in(D,f386(c6,A,C)) | -in(E,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1013,a,668,a)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1013,a,751,b)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1013,a,916,b)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1013,a,940,b)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1013,a,941,b)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | in(D,f386(c25,A,C)) | -in(E,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1013,a,942,a)]. 6.96/7.86 1014 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f382(A,B,D) != C | subset_complement(the_carrier(A),C) = f383(A,B,D) | in(E,f386(A,B,D)) | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | f382(c6,A,C) != B | subset_complement(the_carrier(c6),B) = f383(c6,A,C) | in(D,f386(c6,A,C)) | -in(E,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1014,a,668,a)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1014,a,751,b)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1014,a,916,b)]. 6.96/7.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1014,a,940,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1014,a,941,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | f382(c25,A,C) != B | subset_complement(the_carrier(c25),B) = f383(c25,A,C) | in(D,f386(c25,A,C)) | -in(E,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1014,a,942,a)]. 6.99/7.87 1015 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(1015,a,668,a)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1015,a,751,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1015,a,916,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1015,a,940,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1015,a,941,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(1015,a,942,a)]. 6.99/7.87 1016 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(1016,a,668,a)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1016,a,751,b)]. 6.99/7.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(1016,a,916,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(1016,a,940,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1016,a,941,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(1016,a,942,a)]. 6.99/7.89 1017 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(1017,a,668,a)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1017,a,751,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(1017,a,916,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(1017,a,940,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1017,a,941,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(1017,a,942,a)]. 6.99/7.89 1018 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(1018,a,668,a)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1018,a,751,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(1018,a,916,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(1018,a,940,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1018,a,941,b)]. 6.99/7.89 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(1018,a,942,a)]. 6.99/7.89 1019 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1019,a,668,a)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1019,a,751,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1019,a,916,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1019,a,940,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1019,a,941,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1019,a,942,a)]. 6.99/7.91 1020 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1020,a,668,a)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1020,a,751,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1020,a,916,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1020,a,940,b)]. 6.99/7.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1020,a,941,b)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1020,a,942,a)]. 6.99/7.92 1021 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1021,a,668,a)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1021,a,751,b)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1021,a,916,b)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1021,a,940,b)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1021,a,941,b)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1021,a,942,a)]. 6.99/7.92 1022 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f382(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f382(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1022,a,668,a)]. 6.99/7.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1022,a,751,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1022,a,916,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1022,a,940,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1022,a,941,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f382(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1022,a,942,a)]. 6.99/7.93 1023 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(1023,a,668,a)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1023,a,751,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1023,a,916,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1023,a,940,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1023,a,941,b)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(1023,a,942,a)]. 6.99/7.93 1024 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 6.99/7.93 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(1024,a,668,a)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1024,a,751,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(1024,a,916,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(1024,a,940,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1024,a,941,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(1024,a,942,a)]. 7.07/7.95 1025 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(1025,a,668,a)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1025,a,751,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(1025,a,916,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(1025,a,940,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1025,a,941,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(1025,a,942,a)]. 7.07/7.95 1026 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(1026,a,668,a)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1026,a,751,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(1026,a,916,b)]. 7.07/7.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(1026,a,940,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1026,a,941,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(1026,a,942,a)]. 7.07/7.97 1027 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1027,a,668,a)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1027,a,751,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1027,a,916,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1027,a,940,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1027,a,941,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1027,a,942,a)]. 7.07/7.97 1028 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1028,a,668,a)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1028,a,751,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1028,a,916,b)]. 7.07/7.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1028,a,940,b)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1028,a,941,b)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1028,a,942,a)]. 7.09/7.98 1029 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1029,a,668,a)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1029,a,751,b)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1029,a,916,b)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1029,a,940,b)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1029,a,941,b)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1029,a,942,a)]. 7.09/7.98 1030 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f384(A,B,C),f385(A,B,C)) = f380(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/7.98 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | ordered_pair(f384(c6,A,B),f385(c6,A,B)) = f380(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1030,a,668,a)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1030,a,751,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1030,a,916,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1030,a,940,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1030,a,941,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | ordered_pair(f384(c25,A,B),f385(c25,A,B)) = f380(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1030,a,942,a)]. 7.09/8.00 1031 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | -in(E,f386(A,B,D)) | in(f388(A,B,D,E),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | -in(D,f386(c6,A,C)) | in(f388(c6,A,C,D),complements_of_subsets(the_carrier(c6),A)). [resolve(1031,a,668,a)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1031,a,751,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1031,a,916,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1031,a,940,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1031,a,941,b)]. 7.09/8.00 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | -in(D,f386(c25,A,C)) | in(f388(c25,A,C,D),complements_of_subsets(the_carrier(c25),A)). [resolve(1031,a,942,a)]. 7.09/8.01 1032 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | -in(E,f386(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f388(A,B,D,E) | subset_complement(the_carrier(A),F) = f389(A,B,D,E) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | -in(D,f386(c6,A,C)) | -element(E,powerset(the_carrier(c6))) | E != f388(c6,A,C,D) | subset_complement(the_carrier(c6),E) = f389(c6,A,C,D). [resolve(1032,a,668,a)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -rel_str(B). [resolve(1032,a,751,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -join_semilatt_str(B). [resolve(1032,a,916,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -top_str(B). [resolve(1032,a,940,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -meet_semilatt_str(B). [resolve(1032,a,941,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | -in(D,f386(c25,A,C)) | -element(E,powerset(the_carrier(c25))) | E != f388(c25,A,C,D) | subset_complement(the_carrier(c25),E) = f389(c25,A,C,D). [resolve(1032,a,942,a)]. 7.09/8.01 1033 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | -in(E,f386(A,B,D)) | ordered_pair(f388(A,B,D,E),f389(A,B,D,E)) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | -in(D,f386(c6,A,C)) | ordered_pair(f388(c6,A,C,D),f389(c6,A,C,D)) = D. [resolve(1033,a,668,a)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -rel_str(B). [resolve(1033,a,751,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -join_semilatt_str(B). [resolve(1033,a,916,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -top_str(B). [resolve(1033,a,940,b)]. 7.09/8.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -meet_semilatt_str(B). [resolve(1033,a,941,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | -in(D,f386(c25,A,C)) | ordered_pair(f388(c25,A,C,D),f389(c25,A,C,D)) = D. [resolve(1033,a,942,a)]. 7.09/8.03 1034 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | -in(E,f386(A,B,D)) | f387(A,B,D,E) = E # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | -in(D,f386(c6,A,C)) | f387(c6,A,C,D) = D. [resolve(1034,a,668,a)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -rel_str(B). [resolve(1034,a,751,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -join_semilatt_str(B). [resolve(1034,a,916,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -top_str(B). [resolve(1034,a,940,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -meet_semilatt_str(B). [resolve(1034,a,941,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | -in(D,f386(c25,A,C)) | f387(c25,A,C,D) = D. [resolve(1034,a,942,a)]. 7.09/8.03 1035 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | -in(E,f386(A,B,D)) | in(f387(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | -in(D,f386(c6,A,C)) | in(f387(c6,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1035,a,668,a)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1035,a,751,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1035,a,916,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1035,a,940,b)]. 7.09/8.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1035,a,941,b)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | -in(D,f386(c25,A,C)) | in(f387(c25,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1035,a,942,a)]. 7.16/8.04 1036 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | in(E,f386(A,B,D)) | -in(F,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | in(D,f386(c6,A,C)) | -in(E,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,C,D,F,E,V6),powerset(the_carrier(c6))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1036,a,668,a)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1036,a,751,b)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1036,a,916,b)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1036,a,940,b)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1036,a,941,b)]. 7.16/8.04 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | in(D,f386(c25,A,C)) | -in(E,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,C,D,F,E,V6),powerset(the_carrier(c25))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1036,a,942,a)]. 7.16/8.04 1037 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | in(E,f386(A,B,D)) | -in(F,complements_of_subsets(the_carrier(A),B)) | f390(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | in(D,f386(c6,A,C)) | -in(E,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1037,a,668,a)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1037,a,751,b)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1037,a,916,b)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1037,a,940,b)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1037,a,941,b)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | in(D,f386(c25,A,C)) | -in(E,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1037,a,942,a)]. 7.16/8.06 1038 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f384(A,B,D) | subset_complement(the_carrier(A),C) = f385(A,B,D) | in(E,f386(A,B,D)) | -in(F,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f384(c6,A,C) | subset_complement(the_carrier(c6),B) = f385(c6,A,C) | in(D,f386(c6,A,C)) | -in(E,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c6),A),C)). [resolve(1038,a,668,a)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1038,a,751,b)]. 7.16/8.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -join_semilatt_str(B). [resolve(1038,a,916,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -top_str(B). [resolve(1038,a,940,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1038,a,941,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f384(c25,A,C) | subset_complement(the_carrier(c25),B) = f385(c25,A,C) | in(D,f386(c25,A,C)) | -in(E,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c25),A),C)). [resolve(1038,a,942,a)]. 7.18/8.08 1039 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(1039,a,668,a)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1039,a,751,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1039,a,916,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1039,a,940,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1039,a,941,b)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(1039,a,942,a)]. 7.18/8.08 1040 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(1040,a,668,a)]. 7.18/8.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1040,a,751,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(1040,a,916,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(1040,a,940,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1040,a,941,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(1040,a,942,a)]. 7.18/8.10 1041 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(1041,a,668,a)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1041,a,751,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(1041,a,916,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(1041,a,940,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1041,a,941,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(1041,a,942,a)]. 7.18/8.10 1042 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(1042,a,668,a)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1042,a,751,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(1042,a,916,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(1042,a,940,b)]. 7.18/8.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1042,a,941,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(1042,a,942,a)]. 7.18/8.11 1043 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1043,a,668,a)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1043,a,751,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1043,a,916,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1043,a,940,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1043,a,941,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1043,a,942,a)]. 7.18/8.11 1044 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1044,a,668,a)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1044,a,751,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1044,a,916,b)]. 7.18/8.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1044,a,940,b)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1044,a,941,b)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1044,a,942,a)]. 7.24/8.12 1045 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1045,a,668,a)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1045,a,751,b)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1045,a,916,b)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1045,a,940,b)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1045,a,941,b)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1045,a,942,a)]. 7.24/8.12 1046 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f384(A,B,C),complements_of_subsets(the_carrier(A),B)) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.24/8.12 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f384(c6,A,B),complements_of_subsets(the_carrier(c6),A)) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1046,a,668,a)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1046,a,751,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1046,a,916,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1046,a,940,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1046,a,941,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f384(c25,A,B),complements_of_subsets(the_carrier(c25),A)) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1046,a,942,a)]. 7.24/8.14 1047 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | -in(D,f386(A,B,C)) | in(f388(A,B,C,D),complements_of_subsets(the_carrier(A),B)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | -in(C,f386(c6,A,B)) | in(f388(c6,A,B,C),complements_of_subsets(the_carrier(c6),A)). [resolve(1047,a,668,a)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1047,a,751,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1047,a,916,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1047,a,940,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1047,a,941,b)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | -in(C,f386(c25,A,B)) | in(f388(c25,A,B,C),complements_of_subsets(the_carrier(c25),A)). [resolve(1047,a,942,a)]. 7.24/8.14 1048 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | -in(D,f386(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f388(A,B,C,D) | subset_complement(the_carrier(A),E) = f389(A,B,C,D) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.24/8.14 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | -in(C,f386(c6,A,B)) | -element(D,powerset(the_carrier(c6))) | D != f388(c6,A,B,C) | subset_complement(the_carrier(c6),D) = f389(c6,A,B,C). [resolve(1048,a,668,a)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1048,a,751,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -join_semilatt_str(B). [resolve(1048,a,916,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -top_str(B). [resolve(1048,a,940,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1048,a,941,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | -in(C,f386(c25,A,B)) | -element(D,powerset(the_carrier(c25))) | D != f388(c25,A,B,C) | subset_complement(the_carrier(c25),D) = f389(c25,A,B,C). [resolve(1048,a,942,a)]. 7.27/8.16 1049 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | -in(D,f386(A,B,C)) | ordered_pair(f388(A,B,C,D),f389(A,B,C,D)) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | -in(C,f386(c6,A,B)) | ordered_pair(f388(c6,A,B,C),f389(c6,A,B,C)) = C. [resolve(1049,a,668,a)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1049,a,751,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -join_semilatt_str(B). [resolve(1049,a,916,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -top_str(B). [resolve(1049,a,940,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1049,a,941,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | -in(C,f386(c25,A,B)) | ordered_pair(f388(c25,A,B,C),f389(c25,A,B,C)) = C. [resolve(1049,a,942,a)]. 7.27/8.16 1050 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | -in(D,f386(A,B,C)) | f387(A,B,C,D) = D # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | -in(C,f386(c6,A,B)) | f387(c6,A,B,C) = C. [resolve(1050,a,668,a)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1050,a,751,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -join_semilatt_str(B). [resolve(1050,a,916,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -top_str(B). [resolve(1050,a,940,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1050,a,941,b)]. 7.27/8.16 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | -in(C,f386(c25,A,B)) | f387(c25,A,B,C) = C. [resolve(1050,a,942,a)]. 7.27/8.18 1051 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | -in(D,f386(A,B,C)) | in(f387(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | -in(C,f386(c6,A,B)) | in(f387(c6,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1051,a,668,a)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1051,a,751,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1051,a,916,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1051,a,940,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1051,a,941,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | -in(C,f386(c25,A,B)) | in(f387(c25,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1051,a,942,a)]. 7.27/8.18 1052 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | element(f390(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | element(f390(c6,A,B,C,E,D,F),powerset(the_carrier(c6))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1052,a,668,a)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1052,a,751,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1052,a,916,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1052,a,940,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1052,a,941,b)]. 7.27/8.18 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | element(f390(c25,A,B,C,E,D,F),powerset(the_carrier(c25))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1052,a,942,a)]. 7.27/8.19 1053 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | f390(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.27/8.19 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | f390(c6,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1053,a,668,a)]. 7.27/8.19 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1053,a,751,b)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1053,a,916,b)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1053,a,940,b)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1053,a,941,b)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | f390(c25,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1053,a,942,a)]. 7.27/8.20 1054 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f381(A,B,C) != f380(A,B,C) | in(D,f386(A,B,C)) | -in(E,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f390(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)) # label(s1_tarski__e4_7_1__tops_2__2) # label(axiom). [clausify(611)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f381(c6,A,B) != f380(c6,A,B) | in(C,f386(c6,A,B)) | -in(D,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f390(c6,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c6),A),B)). [resolve(1054,a,668,a)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1054,a,751,b)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -join_semilatt_str(B). [resolve(1054,a,916,b)]. 7.27/8.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -top_str(B). [resolve(1054,a,940,b)]. 7.27/8.22 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1054,a,941,b)]. 7.27/8.22 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f381(c25,A,B) != f380(c25,A,B) | in(C,f386(c25,A,B)) | -in(D,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f390(c25,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c25),A),B)). [resolve(1054,a,942,a)]. 7.27/8.22 1055 -one_sorted_str(A) | quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) # label(dt_k7_grcat_1) # label(axiom). [clausify(612)]. 7.27/8.22 Derived: quasi_total(identity_on_carrier(c6),the_carrier(c6),the_carrier(c6)). [resolve(1055,a,668,a)]. 7.27/8.22 Derived: quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(1055,a,751,b)]. 7.27/8.22 Derived: quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -join_semilatt_str(A). [resolve(1055,a,916,b)]. 7.27/8.22 Derived: quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -top_str(A). [resolve(1055,a,940,b)]. 7.27/8.22 Derived: quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -meet_semilatt_str(A). [resolve(1055,a,941,b)]. 7.27/8.22 Derived: quasi_total(identity_on_carrier(c25),the_carrier(c25),the_carrier(c25)). [resolve(1055,a,942,a)]. 7.27/8.22 1056 -one_sorted_str(A) | relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) # label(dt_k7_grcat_1) # label(axiom). [clausify(612)]. 7.27/8.22 Derived: relation_of2_as_subset(identity_on_carrier(c6),the_carrier(c6),the_carrier(c6)). [resolve(1056,a,668,a)]. 7.27/8.22 Derived: relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(1056,a,751,b)]. 7.27/8.22 Derived: relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -join_semilatt_str(A). [resolve(1056,a,916,b)]. 7.27/8.22 Derived: relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -top_str(A). [resolve(1056,a,940,b)]. 7.27/8.22 Derived: relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -meet_semilatt_str(A). [resolve(1056,a,941,b)]. 7.27/8.22 Derived: relation_of2_as_subset(identity_on_carrier(c25),the_carrier(c25),the_carrier(c25)). [resolve(1056,a,942,a)]. 7.27/8.22 1057 -one_sorted_str(A) | function(identity_on_carrier(A)) # label(dt_k7_grcat_1) # label(axiom). [clausify(612)]. 7.27/8.22 Derived: function(identity_on_carrier(c6)). [resolve(1057,a,668,a)]. 7.27/8.22 Derived: function(identity_on_carrier(A)) | -rel_str(A). [resolve(1057,a,751,b)]. 7.27/8.22 Derived: function(identity_on_carrier(A)) | -join_semilatt_str(A). [resolve(1057,a,916,b)]. 7.27/8.22 Derived: function(identity_on_carrier(A)) | -top_str(A). [resolve(1057,a,940,b)]. 7.27/8.22 Derived: function(identity_on_carrier(A)) | -meet_semilatt_str(A). [resolve(1057,a,941,b)]. 7.27/8.22 Derived: function(identity_on_carrier(c25)). [resolve(1057,a,942,a)]. 7.27/8.22 1058 -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(621)]. 7.27/8.22 Derived: -element(A,powerset(the_carrier(c6))) | subset_difference(the_carrier(c6),cast_as_carrier_subset(c6),subset_difference(the_carrier(c6),cast_as_carrier_subset(c6),A)) = A. [resolve(1058,a,668,a)]. 7.27/8.22 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(1058,a,751,b)]. 7.35/8.26 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(1058,a,916,b)]. 7.35/8.26 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(1058,a,940,b)]. 7.35/8.26 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(1058,a,941,b)]. 7.35/8.26 Derived: -element(A,powerset(the_carrier(c25))) | subset_difference(the_carrier(c25),cast_as_carrier_subset(c25),subset_difference(the_carrier(c25),cast_as_carrier_subset(c25),A)) = A. [resolve(1058,a,942,a)]. 7.35/8.26 1059 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f402(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(ordered_pair(B,C),f402(c6,A)) | in(B,complements_of_subsets(the_carrier(c6),A)). [resolve(1059,a,668,a)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1059,a,751,b)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1059,a,916,b)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1059,a,940,b)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1059,a,941,b)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | -in(ordered_pair(B,C),f402(c25,A)) | in(B,complements_of_subsets(the_carrier(c25),A)). [resolve(1059,a,942,a)]. 7.35/8.26 1060 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | -in(ordered_pair(C,D),f402(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(633)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | -in(ordered_pair(B,C),f402(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != B | subset_complement(the_carrier(c6),D) = C. [resolve(1060,a,668,a)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(1060,a,751,b)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(1060,a,916,b)]. 7.35/8.26 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(1060,a,940,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(1060,a,941,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | -in(ordered_pair(B,C),f402(c25,A)) | -element(D,powerset(the_carrier(c25))) | D != B | subset_complement(the_carrier(c25),D) = C. [resolve(1060,a,942,a)]. 7.39/8.28 1061 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f402(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f403(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(ordered_pair(B,C),f402(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | element(f403(c6,A,B,C),powerset(the_carrier(c6))). [resolve(1061,a,668,a)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(1061,a,751,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(1061,a,916,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -top_str(B). [resolve(1061,a,940,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1061,a,941,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(ordered_pair(B,C),f402(c25,A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | element(f403(c25,A,B,C),powerset(the_carrier(c25))). [resolve(1061,a,942,a)]. 7.39/8.28 1062 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f402(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f403(A,B,C,D) = C # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(ordered_pair(B,C),f402(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | f403(c6,A,B,C) = B. [resolve(1062,a,668,a)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -rel_str(B). [resolve(1062,a,751,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -join_semilatt_str(B). [resolve(1062,a,916,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -top_str(B). [resolve(1062,a,940,b)]. 7.39/8.28 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(1062,a,941,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(ordered_pair(B,C),f402(c25,A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | f403(c25,A,B,C) = B. [resolve(1062,a,942,a)]. 7.39/8.29 1063 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | in(ordered_pair(C,D),f402(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f403(A,B,C,D)) != D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | in(ordered_pair(B,C),f402(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f403(c6,A,B,C)) != C. [resolve(1063,a,668,a)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -rel_str(B). [resolve(1063,a,751,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(1063,a,916,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -top_str(B). [resolve(1063,a,940,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(1063,a,941,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | in(ordered_pair(B,C),f402(c25,A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f403(c25,A,B,C)) != C. [resolve(1063,a,942,a)]. 7.39/8.29 1064 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | function(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | function(f402(c6,A)). [resolve(1064,a,668,a)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -rel_str(B). [resolve(1064,a,751,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -join_semilatt_str(B). [resolve(1064,a,916,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -top_str(B). [resolve(1064,a,940,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1064,a,941,b)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | function(f402(c25,A)). [resolve(1064,a,942,a)]. 7.39/8.29 1065 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f399(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.29 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | in(f399(c6,A),complements_of_subsets(the_carrier(c6),A)) | relation(f402(c6,A)). [resolve(1065,a,668,a)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -rel_str(B). [resolve(1065,a,751,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -join_semilatt_str(B). [resolve(1065,a,916,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -top_str(B). [resolve(1065,a,940,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1065,a,941,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | in(f399(c25,A),complements_of_subsets(the_carrier(c25),A)) | relation(f402(c25,A)). [resolve(1065,a,942,a)]. 7.39/8.31 1066 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | -in(ordered_pair(D,E),f402(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | -in(ordered_pair(C,D),f402(c6,A)) | in(C,complements_of_subsets(the_carrier(c6),A)). [resolve(1066,a,668,a)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1066,a,751,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1066,a,916,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1066,a,940,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1066,a,941,b)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | -in(ordered_pair(C,D),f402(c25,A)) | in(C,complements_of_subsets(the_carrier(c25),A)). [resolve(1066,a,942,a)]. 7.39/8.31 1067 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | -in(ordered_pair(D,E),f402(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(633)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | -in(ordered_pair(C,D),f402(c6,A)) | -element(E,powerset(the_carrier(c6))) | E != C | subset_complement(the_carrier(c6),E) = D. [resolve(1067,a,668,a)]. 7.39/8.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(1067,a,751,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(1067,a,916,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(1067,a,940,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(1067,a,941,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | -in(ordered_pair(C,D),f402(c25,A)) | -element(E,powerset(the_carrier(c25))) | E != C | subset_complement(the_carrier(c25),E) = D. [resolve(1067,a,942,a)]. 7.39/8.33 1068 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | in(ordered_pair(D,E),f402(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f403(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | in(ordered_pair(C,D),f402(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | element(f403(c6,A,C,D),powerset(the_carrier(c6))). [resolve(1068,a,668,a)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(1068,a,751,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(1068,a,916,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -top_str(B). [resolve(1068,a,940,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1068,a,941,b)]. 7.39/8.33 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | in(ordered_pair(C,D),f402(c25,A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | element(f403(c25,A,C,D),powerset(the_carrier(c25))). [resolve(1068,a,942,a)]. 7.39/8.33 1069 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | in(ordered_pair(D,E),f402(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f403(A,B,D,E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | in(ordered_pair(C,D),f402(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | f403(c6,A,C,D) = C. [resolve(1069,a,668,a)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -rel_str(B). [resolve(1069,a,751,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -join_semilatt_str(B). [resolve(1069,a,916,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -top_str(B). [resolve(1069,a,940,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(1069,a,941,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | in(ordered_pair(C,D),f402(c25,A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | f403(c25,A,C,D) = C. [resolve(1069,a,942,a)]. 7.46/8.35 1070 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | in(ordered_pair(D,E),f402(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f403(A,B,D,E)) != E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | in(ordered_pair(C,D),f402(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f403(c6,A,C,D)) != D. [resolve(1070,a,668,a)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -rel_str(B). [resolve(1070,a,751,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(1070,a,916,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -top_str(B). [resolve(1070,a,940,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(1070,a,941,b)]. 7.46/8.35 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | in(ordered_pair(C,D),f402(c25,A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f403(c25,A,C,D)) != D. [resolve(1070,a,942,a)]. 7.48/8.37 1071 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | function(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | function(f402(c6,A)). [resolve(1071,a,668,a)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -rel_str(B). [resolve(1071,a,751,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -join_semilatt_str(B). [resolve(1071,a,916,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -top_str(B). [resolve(1071,a,940,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1071,a,941,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | function(f402(c25,A)). [resolve(1071,a,942,a)]. 7.48/8.37 1072 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f401(A,B) | relation(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f401(c6,A) | relation(f402(c6,A)). [resolve(1072,a,668,a)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -rel_str(B). [resolve(1072,a,751,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -join_semilatt_str(B). [resolve(1072,a,916,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -top_str(B). [resolve(1072,a,940,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1072,a,941,b)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f401(c25,A) | relation(f402(c25,A)). [resolve(1072,a,942,a)]. 7.48/8.37 1073 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | -in(ordered_pair(D,E),f402(A,B)) | in(D,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.48/8.37 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | -in(ordered_pair(C,D),f402(c6,A)) | in(C,complements_of_subsets(the_carrier(c6),A)). [resolve(1073,a,668,a)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1073,a,751,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1073,a,916,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1073,a,940,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1073,a,941,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | -in(ordered_pair(C,D),f402(c25,A)) | in(C,complements_of_subsets(the_carrier(c25),A)). [resolve(1073,a,942,a)]. 7.48/8.39 1074 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | -in(ordered_pair(D,E),f402(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(633)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | -in(ordered_pair(C,D),f402(c6,A)) | -element(E,powerset(the_carrier(c6))) | E != C | subset_complement(the_carrier(c6),E) = D. [resolve(1074,a,668,a)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(1074,a,751,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -join_semilatt_str(B). [resolve(1074,a,916,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -top_str(B). [resolve(1074,a,940,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(1074,a,941,b)]. 7.48/8.39 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | -in(ordered_pair(C,D),f402(c25,A)) | -element(E,powerset(the_carrier(c25))) | E != C | subset_complement(the_carrier(c25),E) = D. [resolve(1074,a,942,a)]. 7.48/8.39 1075 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | in(ordered_pair(D,E),f402(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | element(f403(A,B,D,E),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | in(ordered_pair(C,D),f402(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | element(f403(c6,A,C,D),powerset(the_carrier(c6))). [resolve(1075,a,668,a)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(1075,a,751,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(1075,a,916,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -top_str(B). [resolve(1075,a,940,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1075,a,941,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | in(ordered_pair(C,D),f402(c25,A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | element(f403(c25,A,C,D),powerset(the_carrier(c25))). [resolve(1075,a,942,a)]. 7.48/8.41 1076 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | in(ordered_pair(D,E),f402(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | f403(A,B,D,E) = D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | in(ordered_pair(C,D),f402(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | f403(c6,A,C,D) = C. [resolve(1076,a,668,a)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -rel_str(B). [resolve(1076,a,751,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -join_semilatt_str(B). [resolve(1076,a,916,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -top_str(B). [resolve(1076,a,940,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(1076,a,941,b)]. 7.48/8.41 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | in(ordered_pair(C,D),f402(c25,A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | f403(c25,A,C,D) = C. [resolve(1076,a,942,a)]. 7.54/8.43 1077 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | in(ordered_pair(D,E),f402(A,B)) | -in(D,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f403(A,B,D,E)) != E # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | in(ordered_pair(C,D),f402(c6,A)) | -in(C,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f403(c6,A,C,D)) != D. [resolve(1077,a,668,a)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -rel_str(B). [resolve(1077,a,751,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -join_semilatt_str(B). [resolve(1077,a,916,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -top_str(B). [resolve(1077,a,940,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(1077,a,941,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | in(ordered_pair(C,D),f402(c25,A)) | -in(C,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f403(c25,A,C,D)) != D. [resolve(1077,a,942,a)]. 7.54/8.43 1078 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | function(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | function(f402(c6,A)). [resolve(1078,a,668,a)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -rel_str(B). [resolve(1078,a,751,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -join_semilatt_str(B). [resolve(1078,a,916,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -top_str(B). [resolve(1078,a,940,b)]. 7.54/8.43 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1078,a,941,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | function(f402(c25,A)). [resolve(1078,a,942,a)]. 7.54/8.45 1079 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f399(A,B) | subset_complement(the_carrier(A),C) = f400(A,B) | relation(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | -element(B,powerset(the_carrier(c6))) | B != f399(c6,A) | subset_complement(the_carrier(c6),B) = f400(c6,A) | relation(f402(c6,A)). [resolve(1079,a,668,a)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -rel_str(B). [resolve(1079,a,751,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -join_semilatt_str(B). [resolve(1079,a,916,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -top_str(B). [resolve(1079,a,940,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1079,a,941,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | -element(B,powerset(the_carrier(c25))) | B != f399(c25,A) | subset_complement(the_carrier(c25),B) = f400(c25,A) | relation(f402(c25,A)). [resolve(1079,a,942,a)]. 7.54/8.45 1080 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | -in(ordered_pair(C,D),f402(A,B)) | in(C,complements_of_subsets(the_carrier(A),B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | -in(ordered_pair(B,C),f402(c6,A)) | in(B,complements_of_subsets(the_carrier(c6),A)). [resolve(1080,a,668,a)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1080,a,751,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -join_semilatt_str(B). [resolve(1080,a,916,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -top_str(B). [resolve(1080,a,940,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1080,a,941,b)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | -in(ordered_pair(B,C),f402(c25,A)) | in(B,complements_of_subsets(the_carrier(c25),A)). [resolve(1080,a,942,a)]. 7.54/8.45 1081 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | -in(ordered_pair(C,D),f402(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(633)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | -in(ordered_pair(B,C),f402(c6,A)) | -element(D,powerset(the_carrier(c6))) | D != B | subset_complement(the_carrier(c6),D) = C. [resolve(1081,a,668,a)]. 7.54/8.45 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(1081,a,751,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -join_semilatt_str(B). [resolve(1081,a,916,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -top_str(B). [resolve(1081,a,940,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(1081,a,941,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | -in(ordered_pair(B,C),f402(c25,A)) | -element(D,powerset(the_carrier(c25))) | D != B | subset_complement(the_carrier(c25),D) = C. [resolve(1081,a,942,a)]. 7.58/8.47 1082 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | in(ordered_pair(C,D),f402(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | element(f403(A,B,C,D),powerset(the_carrier(A))) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | in(ordered_pair(B,C),f402(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | element(f403(c6,A,B,C),powerset(the_carrier(c6))). [resolve(1082,a,668,a)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(1082,a,751,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -join_semilatt_str(B). [resolve(1082,a,916,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -top_str(B). [resolve(1082,a,940,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1082,a,941,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | in(ordered_pair(B,C),f402(c25,A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | element(f403(c25,A,B,C),powerset(the_carrier(c25))). [resolve(1082,a,942,a)]. 7.58/8.47 1083 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | in(ordered_pair(C,D),f402(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | f403(A,B,C,D) = C # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | in(ordered_pair(B,C),f402(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | f403(c6,A,B,C) = B. [resolve(1083,a,668,a)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -rel_str(B). [resolve(1083,a,751,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -join_semilatt_str(B). [resolve(1083,a,916,b)]. 7.58/8.47 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -top_str(B). [resolve(1083,a,940,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(1083,a,941,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | in(ordered_pair(B,C),f402(c25,A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | f403(c25,A,B,C) = B. [resolve(1083,a,942,a)]. 7.58/8.49 1084 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | in(ordered_pair(C,D),f402(A,B)) | -in(C,complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f403(A,B,C,D)) != D # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | in(ordered_pair(B,C),f402(c6,A)) | -in(B,complements_of_subsets(the_carrier(c6),A)) | subset_complement(the_carrier(c6),f403(c6,A,B,C)) != C. [resolve(1084,a,668,a)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -rel_str(B). [resolve(1084,a,751,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -join_semilatt_str(B). [resolve(1084,a,916,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -top_str(B). [resolve(1084,a,940,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(1084,a,941,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | in(ordered_pair(B,C),f402(c25,A)) | -in(B,complements_of_subsets(the_carrier(c25),A)) | subset_complement(the_carrier(c25),f403(c25,A,B,C)) != C. [resolve(1084,a,942,a)]. 7.58/8.49 1085 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | function(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | function(f402(c6,A)). [resolve(1085,a,668,a)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -rel_str(B). [resolve(1085,a,751,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -join_semilatt_str(B). [resolve(1085,a,916,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -top_str(B). [resolve(1085,a,940,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1085,a,941,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | function(f402(c25,A)). [resolve(1085,a,942,a)]. 7.58/8.49 1086 -one_sorted_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f401(A,B) != f400(A,B) | relation(f402(A,B)) # label(s1_funct_1__e4_7_1__tops_2__1) # label(lemma). [clausify(633)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(c6)))) | f401(c6,A) != f400(c6,A) | relation(f402(c6,A)). [resolve(1086,a,668,a)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -rel_str(B). [resolve(1086,a,751,b)]. 7.58/8.49 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -join_semilatt_str(B). [resolve(1086,a,916,b)]. 11.64/12.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -top_str(B). [resolve(1086,a,940,b)]. 11.64/12.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1086,a,941,b)]. 11.64/12.60 Derived: -element(A,powerset(powerset(the_carrier(c25)))) | f401(c25,A) != f400(c25,A) | relation(f402(c25,A)). [resolve(1086,a,942,a)]. 11.64/12.60 1087 -one_sorted_str(A) | cast_as_carrier_subset(A) = the_carrier(A) # label(d3_pre_topc) # label(axiom). [clausify(664)]. 11.64/12.60 1088 -latt_str(A) | meet_semilatt_str(A) # label(dt_l3_lattices) # label(axiom). [clausify(421)]. 11.64/12.60 1089 -meet_semilatt_str(A) | empty_carrier(A) | element(bottom_of_semilattstr(A),the_carrier(A)) # label(dt_k5_lattices) # label(axiom). [clausify(11)]. 11.64/12.60 1090 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f6(A)) = f6(A) # label(d13_lattices) # label(axiom). [clausify(14)]. 11.64/12.60 1091 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,f6(A),B) = f6(A) # label(d13_lattices) # label(axiom). [clausify(14)]. 11.64/12.60 1092 empty_carrier(A) | -meet_semilatt_str(A) | -lower_bounded_semilattstr(A) | element(f6(A),the_carrier(A)) # label(d13_lattices) # label(axiom). [clausify(14)]. 11.64/12.60 1093 empty_carrier(A) | -meet_semilatt_str(A) | lower_bounded_semilattstr(A) | element(f7(A,B),the_carrier(A)) | -element(B,the_carrier(A)) # label(d13_lattices) # label(axiom). [clausify(14)]. 11.64/12.60 1094 empty_carrier(A) | -meet_semilatt_str(A) | lower_bounded_semilattstr(A) | meet(A,f7(A,B),B) != B | meet(A,B,f7(A,B)) != B | -element(B,the_carrier(A)) # label(d13_lattices) # label(axiom). [clausify(14)]. 11.64/12.60 1095 -meet_semilatt_str(A) | function(the_L_meet(A)) # label(dt_u1_lattices) # label(axiom). [clausify(20)]. 11.64/12.60 1096 -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(20)]. 11.64/12.60 1097 -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(20)]. 11.64/12.60 1098 empty_carrier(A) | -meet_associative(A) | -meet_semilatt_str(A) | relation(the_L_meet(A)) # label(fc5_lattice2) # label(axiom). [clausify(23)]. 11.64/12.60 1099 empty_carrier(A) | -meet_associative(A) | -meet_semilatt_str(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc5_lattice2) # label(axiom). [clausify(23)]. 11.64/12.60 1100 empty_carrier(A) | -meet_associative(A) | -meet_semilatt_str(A) | v2_binop_1(the_L_meet(A),the_carrier(A)) # label(fc5_lattice2) # label(axiom). [clausify(23)]. 11.64/12.60 1101 empty_carrier(A) | -meet_associative(A) | -meet_semilatt_str(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc5_lattice2) # label(axiom). [clausify(23)]. 11.64/12.60 1102 empty_carrier(A) | -meet_associative(A) | -meet_semilatt_str(A) | function(the_L_meet(A)) # label(fc5_lattice2) # label(axiom). [clausify(23)]. 11.64/12.60 1103 empty_carrier(A) | -meet_semilatt_str(A) | -meet_commutative(A) | relation(the_L_meet(A)) # label(fc4_lattice2) # label(axiom). [clausify(111)]. 11.64/12.60 1104 empty_carrier(A) | -meet_semilatt_str(A) | -meet_commutative(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc4_lattice2) # label(axiom). [clausify(111)]. 11.64/12.60 1105 empty_carrier(A) | -meet_semilatt_str(A) | -meet_commutative(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)) # label(fc4_lattice2) # label(axiom). [clausify(111)]. 11.64/12.60 1106 empty_carrier(A) | -meet_semilatt_str(A) | -meet_commutative(A) | v1_binop_1(the_L_meet(A),the_carrier(A)) # label(fc4_lattice2) # label(axiom). [clausify(111)]. 11.64/12.60 1107 empty_carrier(A) | -meet_semilatt_str(A) | -meet_commutative(A) | function(the_L_meet(A)) # label(fc4_lattice2) # label(axiom). [clausify(111)]. 11.64/12.60 1108 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet_commut(A,C,B) = meet(A,C,B) # label(redefinition_k4_lattices) # label(axiom). [clausify(168)]. 11.72/12.65 1109 empty_carrier(A) | -meet_commutative(A) | -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | meet_commut(A,C,B) = meet_commut(A,B,C) # label(commutativity_k4_lattices) # label(axiom). [clausify(181)]. 11.72/12.65 1110 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) != B | -element(C,the_carrier(A)) | meet(A,B,C) = B # label(d16_lattices) # label(axiom). [clausify(292)]. 11.72/12.65 1111 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) != B | -element(C,the_carrier(A)) | meet(A,C,B) = B # label(d16_lattices) # label(axiom). [clausify(292)]. 11.72/12.65 1112 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) = B | element(f169(A,B),the_carrier(A)) # label(d16_lattices) # label(axiom). [clausify(292)]. 11.72/12.65 1113 -meet_semilatt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) = B | meet(A,B,f169(A,B)) != B | meet(A,f169(A,B),B) != B # label(d16_lattices) # label(axiom). [clausify(292)]. 11.72/12.65 1114 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(319)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | element(bottom_of_semilattstr(A),the_carrier(A)). [resolve(1088,b,1089,a)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,B,f6(A)) = f6(A). [resolve(1088,b,1090,b)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | meet(A,f6(A),B) = f6(A). [resolve(1088,b,1091,b)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | element(f6(A),the_carrier(A)). [resolve(1088,b,1092,b)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | lower_bounded_semilattstr(A) | element(f7(A,B),the_carrier(A)) | -element(B,the_carrier(A)). [resolve(1088,b,1093,b)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | lower_bounded_semilattstr(A) | meet(A,f7(A,B),B) != B | meet(A,B,f7(A,B)) != B | -element(B,the_carrier(A)). [resolve(1088,b,1094,b)]. 11.72/12.65 Derived: -latt_str(A) | function(the_L_meet(A)). [resolve(1088,b,1095,a)]. 11.72/12.65 Derived: -latt_str(A) | relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)). [resolve(1088,b,1096,a)]. 11.72/12.65 Derived: -latt_str(A) | quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)). [resolve(1088,b,1097,a)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -meet_associative(A) | relation(the_L_meet(A)). [resolve(1088,b,1098,c)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -meet_associative(A) | v2_binop_1(the_L_meet(A),the_carrier(A)). [resolve(1088,b,1100,c)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -meet_associative(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)). [resolve(1088,b,1101,c)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -meet_commutative(A) | relation(the_L_meet(A)). [resolve(1088,b,1103,b)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -meet_commutative(A) | v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)). [resolve(1088,b,1105,b)]. 11.72/12.65 Derived: -latt_str(A) | empty_carrier(A) | -meet_commutative(A) | v1_binop_1(the_L_meet(A),the_carrier(A)). [resolve(1088,b,1106,b)]. 11.72/12.65 Derived: -latt_str(A) | 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). [resolve(1088,b,1108,c)]. 11.72/12.65 Derived: -latt_str(A) | 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). [resolve(1088,b,1109,c)]. 12.79/13.70 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) != B | -element(C,the_carrier(A)) | meet(A,B,C) = B. [resolve(1088,b,1110,a)]. 12.79/13.70 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) != B | -element(C,the_carrier(A)) | meet(A,C,B) = B. [resolve(1088,b,1111,a)]. 12.79/13.70 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) = B | element(f169(A,B),the_carrier(A)). [resolve(1088,b,1112,a)]. 12.79/13.70 Derived: -latt_str(A) | empty_carrier(A) | -lower_bounded_semilattstr(A) | -element(B,the_carrier(A)) | bottom_of_semilattstr(A) = B | meet(A,B,f169(A,B)) != B | meet(A,f169(A,B),B) != B. [resolve(1088,b,1113,a)]. 12.79/13.70 Derived: -latt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | apply_binary_as_element(the_carrier(A),the_carrier(A),the_carrier(A),the_L_meet(A),B,C) = meet(A,B,C). [resolve(1088,b,1114,b)]. 12.79/13.70 1115 meet_semilatt_str(c34) # label(existence_l1_lattices) # label(axiom). [clausify(548)]. 12.79/13.70 Derived: empty_carrier(c34) | element(bottom_of_semilattstr(c34),the_carrier(c34)). [resolve(1115,a,1089,a)]. 12.79/13.70 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | -element(A,the_carrier(c34)) | meet(c34,A,f6(c34)) = f6(c34). [resolve(1115,a,1090,b)]. 12.79/13.70 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | -element(A,the_carrier(c34)) | meet(c34,f6(c34),A) = f6(c34). [resolve(1115,a,1091,b)]. 12.79/13.70 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | element(f6(c34),the_carrier(c34)). [resolve(1115,a,1092,b)]. 12.79/13.70 Derived: empty_carrier(c34) | lower_bounded_semilattstr(c34) | element(f7(c34,A),the_carrier(c34)) | -element(A,the_carrier(c34)). [resolve(1115,a,1093,b)]. 12.79/13.70 Derived: empty_carrier(c34) | lower_bounded_semilattstr(c34) | meet(c34,f7(c34,A),A) != A | meet(c34,A,f7(c34,A)) != A | -element(A,the_carrier(c34)). [resolve(1115,a,1094,b)]. 12.79/13.70 Derived: function(the_L_meet(c34)). [resolve(1115,a,1095,a)]. 12.79/13.70 Derived: relation_of2_as_subset(the_L_meet(c34),cartesian_product2(the_carrier(c34),the_carrier(c34)),the_carrier(c34)). [resolve(1115,a,1096,a)]. 12.79/13.70 Derived: quasi_total(the_L_meet(c34),cartesian_product2(the_carrier(c34),the_carrier(c34)),the_carrier(c34)). [resolve(1115,a,1097,a)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_associative(c34) | relation(the_L_meet(c34)). [resolve(1115,a,1098,c)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_associative(c34) | v2_binop_1(the_L_meet(c34),the_carrier(c34)). [resolve(1115,a,1100,c)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_associative(c34) | v1_partfun1(the_L_meet(c34),cartesian_product2(the_carrier(c34),the_carrier(c34)),the_carrier(c34)). [resolve(1115,a,1101,c)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_commutative(c34) | relation(the_L_meet(c34)). [resolve(1115,a,1103,b)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_commutative(c34) | v1_partfun1(the_L_meet(c34),cartesian_product2(the_carrier(c34),the_carrier(c34)),the_carrier(c34)). [resolve(1115,a,1105,b)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_commutative(c34) | v1_binop_1(the_L_meet(c34),the_carrier(c34)). [resolve(1115,a,1106,b)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_commutative(c34) | -element(A,the_carrier(c34)) | -element(B,the_carrier(c34)) | meet_commut(c34,B,A) = meet(c34,B,A). [resolve(1115,a,1108,c)]. 12.79/13.70 Derived: empty_carrier(c34) | -meet_commutative(c34) | -element(A,the_carrier(c34)) | -element(B,the_carrier(c34)) | meet_commut(c34,B,A) = meet_commut(c34,A,B). [resolve(1115,a,1109,c)]. 12.79/13.70 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | -element(A,the_carrier(c34)) | bottom_of_semilattstr(c34) != A | -element(B,the_carrier(c34)) | meet(c34,A,B) = A. [resolve(1115,a,1110,a)]. 12.79/13.70 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | -element(A,the_carrier(c34)) | bottom_of_semilattstr(c34) != A | -element(B,the_carrier(c34)) | meet(c34,B,A) = A. [resolve(1115,a,1111,a)]. 12.79/13.70 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | -element(A,the_carrier(c34)) | bottom_of_semilattstr(c34) = A | element(f169(c34,A),the_carrier(c34)). [resolve(1115,a,1112,a)]. 13.79/14.69 Derived: empty_carrier(c34) | -lower_bounded_semilattstr(c34) | -element(A,the_carrier(c34)) | bottom_of_semilattstr(c34) = A | meet(c34,A,f169(c34,A)) != A | meet(c34,f169(c34,A),A) != A. [resolve(1115,a,1113,a)]. 13.79/14.69 Derived: empty_carrier(c34) | -element(A,the_carrier(c34)) | -element(B,the_carrier(c34)) | apply_binary_as_element(the_carrier(c34),the_carrier(c34),the_carrier(c34),the_L_meet(c34),A,B) = meet(c34,A,B). [resolve(1115,a,1114,b)]. 13.79/14.69 1116 empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_semilatt_str(A) | -meet_commutative(A) | element(meet_commut(A,C,B),the_carrier(A)) # label(dt_k4_lattices) # label(axiom). [clausify(635)]. 13.79/14.69 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -meet_commutative(A) | element(meet_commut(A,C,B),the_carrier(A)) | -latt_str(A). [resolve(1116,d,1088,b)]. 13.79/14.69 Derived: empty_carrier(c34) | -element(A,the_carrier(c34)) | -element(B,the_carrier(c34)) | -meet_commutative(c34) | element(meet_commut(c34,B,A),the_carrier(c34)). [resolve(1116,d,1115,a)]. 13.79/14.69 1117 -meet_semilatt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | element(meet(A,B,C),the_carrier(A)) # label(dt_k2_lattices) # label(axiom). [clausify(656)]. 13.79/14.69 Derived: -element(A,the_carrier(B)) | -element(C,the_carrier(B)) | empty_carrier(B) | element(meet(B,A,C),the_carrier(B)) | -latt_str(B). [resolve(1117,a,1088,b)]. 13.79/14.69 Derived: -element(A,the_carrier(c34)) | -element(B,the_carrier(c34)) | empty_carrier(c34) | element(meet(c34,A,B),the_carrier(c34)). [resolve(1117,a,1115,a)]. 13.79/14.69 1118 -meet_semilatt_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(941,b,669,a)]. 13.79/14.69 Derived: cast_as_carrier_subset(A) = the_carrier(A) | -latt_str(A). [resolve(1118,a,1088,b)]. 13.79/14.69 Derived: cast_as_carrier_subset(c34) = the_carrier(c34). [resolve(1118,a,1115,a)]. 13.79/14.69 1119 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,670,a)]. 13.79/14.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | relation(f60(B,A)) | -latt_str(B). [resolve(1119,a,1088,b)]. 13.79/14.69 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | relation(f60(c34,A)). [resolve(1119,a,1115,a)]. 13.79/14.69 1120 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,671,a)]. 13.79/14.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1120,a,1088,b)]. 13.79/14.69 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | relation_dom(f60(c34,A)) = A. [resolve(1120,a,1115,a)]. 13.79/14.69 1121 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,672,a)]. 13.79/14.69 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f60(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1121,a,1088,b)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | -in(D,A) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f60(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1121,a,1115,a)]. 13.79/14.70 1122 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,673,a)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | function(f60(B,A)) | -latt_str(B). [resolve(1122,a,1088,b)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | function(f60(c34,A)). [resolve(1122,a,1115,a)]. 13.79/14.70 1123 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,674,a)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | f59(B,A,D) = f58(B,A) | relation(f60(B,A)) | -latt_str(B). [resolve(1123,a,1088,b)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | f59(c34,A,C) = f58(c34,A) | relation(f60(c34,A)). [resolve(1123,a,1115,a)]. 13.79/14.70 1124 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,675,a)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | f59(B,A,D) = f58(B,A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1124,a,1088,b)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | f59(c34,A,C) = f58(c34,A) | relation_dom(f60(c34,A)) = A. [resolve(1124,a,1115,a)]. 13.79/14.70 1125 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,676,a)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | f59(B,A,D) = f58(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f60(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1125,a,1088,b)]. 13.79/14.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | f59(c34,A,C) = f58(c34,A) | -in(D,A) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f60(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1125,a,1115,a)]. 13.79/14.71 1126 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(941,b,677,a)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | f59(B,A,D) = f58(B,A) | function(f60(B,A)) | -latt_str(B). [resolve(1126,a,1088,b)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | f59(c34,A,C) = f58(c34,A) | function(f60(c34,A)). [resolve(1126,a,1115,a)]. 13.79/14.71 1127 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(941,b,678,a)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | relation(f60(B,A)) | -latt_str(B). [resolve(1127,a,1088,b)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | relation(f60(c34,A)). [resolve(1127,a,1115,a)]. 13.79/14.71 1128 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(941,b,679,a)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1128,a,1088,b)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | relation_dom(f60(c34,A)) = A. [resolve(1128,a,1115,a)]. 13.79/14.71 1129 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,680,a)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f60(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1129,a,1088,b)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f60(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1129,a,1115,a)]. 13.79/14.71 1130 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(941,b,681,a)]. 13.79/14.71 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | function(f60(B,A)) | -latt_str(B). [resolve(1130,a,1088,b)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | function(f60(c34,A)). [resolve(1130,a,1115,a)]. 13.84/14.72 1131 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,682,a)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | in(f58(B,A),A) | relation(f60(B,A)) | -latt_str(B). [resolve(1131,a,1088,b)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | in(f58(c34,A),A) | relation(f60(c34,A)). [resolve(1131,a,1115,a)]. 13.84/14.72 1132 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,683,a)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | in(f58(B,A),A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1132,a,1088,b)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | in(f58(c34,A),A) | relation_dom(f60(c34,A)) = A. [resolve(1132,a,1115,a)]. 13.84/14.72 1133 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,684,a)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | in(f58(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1133,a,1088,b)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | in(f58(c34,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1133,a,1115,a)]. 13.84/14.72 1134 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,685,a)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f56(B,A) | in(f58(B,A),A) | function(f60(B,A)) | -latt_str(B). [resolve(1134,a,1088,b)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f56(c34,A) | in(f58(c34,A),A) | function(f60(c34,A)). [resolve(1134,a,1115,a)]. 13.84/14.72 1135 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,686,a)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | relation(f60(B,A)) | -latt_str(B). [resolve(1135,a,1088,b)]. 13.84/14.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | relation(f60(c34,A)). [resolve(1135,a,1115,a)]. 13.84/14.73 1136 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,687,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1136,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | relation_dom(f60(c34,A)) = A. [resolve(1136,a,1115,a)]. 13.84/14.73 1137 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,688,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f60(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1137,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | -in(D,A) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f60(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1137,a,1115,a)]. 13.84/14.73 1138 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,689,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | element(f59(B,A,D),powerset(the_carrier(B))) | function(f60(B,A)) | -latt_str(B). [resolve(1138,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | element(f59(c34,A,C),powerset(the_carrier(c34))) | function(f60(c34,A)). [resolve(1138,a,1115,a)]. 13.84/14.73 1139 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,690,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | f59(B,A,D) = f58(B,A) | relation(f60(B,A)) | -latt_str(B). [resolve(1139,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | f59(c34,A,C) = f58(c34,A) | relation(f60(c34,A)). [resolve(1139,a,1115,a)]. 13.84/14.73 1140 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,691,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | f59(B,A,D) = f58(B,A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1140,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | f59(c34,A,C) = f58(c34,A) | relation_dom(f60(c34,A)) = A. [resolve(1140,a,1115,a)]. 13.84/14.73 1141 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,692,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | f59(B,A,D) = f58(B,A) | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f60(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1141,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | f59(c34,A,C) = f58(c34,A) | -in(D,A) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f60(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1141,a,1115,a)]. 13.84/14.73 1142 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(941,b,693,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | f59(B,A,D) = f58(B,A) | function(f60(B,A)) | -latt_str(B). [resolve(1142,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | f59(c34,A,C) = f58(c34,A) | function(f60(c34,A)). [resolve(1142,a,1115,a)]. 13.84/14.73 1143 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(941,b,694,a)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | relation(f60(B,A)) | -latt_str(B). [resolve(1143,a,1088,b)]. 13.84/14.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | relation(f60(c34,A)). [resolve(1143,a,1115,a)]. 13.84/14.73 1144 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(941,b,695,a)]. 13.84/14.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1144,a,1088,b)]. 13.84/14.74 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | relation_dom(f60(c34,A)) = A. [resolve(1144,a,1115,a)]. 13.84/14.74 1145 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,696,a)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(B))) | F != E | apply(f60(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1145,a,1088,b)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f60(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1145,a,1115,a)]. 13.87/14.74 1146 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(941,b,697,a)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | subset_complement(the_carrier(B),f59(B,A,D)) != D | function(f60(B,A)) | -latt_str(B). [resolve(1146,a,1088,b)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,C)) != C | function(f60(c34,A)). [resolve(1146,a,1115,a)]. 13.87/14.74 1147 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,698,a)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | in(f58(B,A),A) | relation(f60(B,A)) | -latt_str(B). [resolve(1147,a,1088,b)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | in(f58(c34,A),A) | relation(f60(c34,A)). [resolve(1147,a,1115,a)]. 13.87/14.74 1148 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,699,a)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | in(f58(B,A),A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1148,a,1088,b)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | in(f58(c34,A),A) | relation_dom(f60(c34,A)) = A. [resolve(1148,a,1115,a)]. 13.87/14.74 1149 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,700,a)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | in(f58(B,A),A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1149,a,1088,b)]. 13.87/14.74 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | in(f58(c34,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1149,a,1115,a)]. 13.87/14.76 1150 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,701,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f55(B,A) | subset_complement(the_carrier(B),C) = f57(B,A) | in(f58(B,A),A) | function(f60(B,A)) | -latt_str(B). [resolve(1150,a,1088,b)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f55(c34,A) | subset_complement(the_carrier(c34),B) = f57(c34,A) | in(f58(c34,A),A) | function(f60(c34,A)). [resolve(1150,a,1115,a)]. 13.87/14.76 1151 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,702,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | element(f59(B,A,C),powerset(the_carrier(B))) | relation(f60(B,A)) | -latt_str(B). [resolve(1151,a,1088,b)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | relation(f60(c34,A)). [resolve(1151,a,1115,a)]. 13.87/14.76 1152 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,703,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | element(f59(B,A,C),powerset(the_carrier(B))) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1152,a,1088,b)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | relation_dom(f60(c34,A)) = A. [resolve(1152,a,1115,a)]. 13.87/14.76 1153 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,704,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | element(f59(B,A,C),powerset(the_carrier(B))) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1153,a,1088,b)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1153,a,1115,a)]. 13.87/14.76 1154 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,705,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | element(f59(B,A,C),powerset(the_carrier(B))) | function(f60(B,A)) | -latt_str(B). [resolve(1154,a,1088,b)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | function(f60(c34,A)). [resolve(1154,a,1115,a)]. 13.87/14.76 1155 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,706,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | f59(B,A,C) = f58(B,A) | relation(f60(B,A)) | -latt_str(B). [resolve(1155,a,1088,b)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | f59(c34,A,B) = f58(c34,A) | relation(f60(c34,A)). [resolve(1155,a,1115,a)]. 13.87/14.76 1156 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,707,a)]. 13.87/14.76 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | f59(B,A,C) = f58(B,A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1156,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | f59(c34,A,B) = f58(c34,A) | relation_dom(f60(c34,A)) = A. [resolve(1156,a,1115,a)]. 13.87/14.77 1157 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,708,a)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | f59(B,A,C) = f58(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1157,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | f59(c34,A,B) = f58(c34,A) | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1157,a,1115,a)]. 13.87/14.77 1158 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(941,b,709,a)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | f59(B,A,C) = f58(B,A) | function(f60(B,A)) | -latt_str(B). [resolve(1158,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | f59(c34,A,B) = f58(c34,A) | function(f60(c34,A)). [resolve(1158,a,1115,a)]. 13.87/14.77 1159 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(941,b,710,a)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | relation(f60(B,A)) | -latt_str(B). [resolve(1159,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | relation(f60(c34,A)). [resolve(1159,a,1115,a)]. 13.87/14.77 1160 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(941,b,711,a)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1160,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | relation_dom(f60(c34,A)) = A. [resolve(1160,a,1115,a)]. 13.87/14.77 1161 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,712,a)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1161,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1161,a,1115,a)]. 13.87/14.77 1162 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(941,b,713,a)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | function(f60(B,A)) | -latt_str(B). [resolve(1162,a,1088,b)]. 13.87/14.77 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | function(f60(c34,A)). [resolve(1162,a,1115,a)]. 13.87/14.78 1163 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,714,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | in(f58(B,A),A) | relation(f60(B,A)) | -latt_str(B). [resolve(1163,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | in(f58(c34,A),A) | relation(f60(c34,A)). [resolve(1163,a,1115,a)]. 13.87/14.78 1164 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,715,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | in(f58(B,A),A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1164,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | in(f58(c34,A),A) | relation_dom(f60(c34,A)) = A. [resolve(1164,a,1115,a)]. 13.87/14.78 1165 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,716,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | in(f58(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f60(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1165,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | in(f58(c34,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c34))) | C != B | apply(f60(c34,A),B) = subset_complement(the_carrier(c34),C). [resolve(1165,a,1115,a)]. 13.87/14.78 1166 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,717,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f55(B,A),A) | in(f58(B,A),A) | function(f60(B,A)) | -latt_str(B). [resolve(1166,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f55(c34,A),A) | in(f58(c34,A),A) | function(f60(c34,A)). [resolve(1166,a,1115,a)]. 13.87/14.78 1167 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(941,b,718,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | element(f59(B,A,C),powerset(the_carrier(B))) | relation(f60(B,A)) | -latt_str(B). [resolve(1167,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | relation(f60(c34,A)). [resolve(1167,a,1115,a)]. 13.87/14.78 1168 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(941,b,719,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | element(f59(B,A,C),powerset(the_carrier(B))) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1168,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | relation_dom(f60(c34,A)) = A. [resolve(1168,a,1115,a)]. 13.87/14.78 1169 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,720,a)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | element(f59(B,A,C),powerset(the_carrier(B))) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1169,a,1088,b)]. 13.87/14.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1169,a,1115,a)]. 13.87/14.79 1170 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(941,b,721,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | element(f59(B,A,C),powerset(the_carrier(B))) | function(f60(B,A)) | -latt_str(B). [resolve(1170,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | element(f59(c34,A,B),powerset(the_carrier(c34))) | function(f60(c34,A)). [resolve(1170,a,1115,a)]. 13.87/14.79 1171 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(941,b,722,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | f59(B,A,C) = f58(B,A) | relation(f60(B,A)) | -latt_str(B). [resolve(1171,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | f59(c34,A,B) = f58(c34,A) | relation(f60(c34,A)). [resolve(1171,a,1115,a)]. 13.87/14.79 1172 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(941,b,723,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | f59(B,A,C) = f58(B,A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1172,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | f59(c34,A,B) = f58(c34,A) | relation_dom(f60(c34,A)) = A. [resolve(1172,a,1115,a)]. 13.87/14.79 1173 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,724,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | f59(B,A,C) = f58(B,A) | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1173,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | f59(c34,A,B) = f58(c34,A) | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1173,a,1115,a)]. 13.87/14.79 1174 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(941,b,725,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | f59(B,A,C) = f58(B,A) | function(f60(B,A)) | -latt_str(B). [resolve(1174,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | f59(c34,A,B) = f58(c34,A) | function(f60(c34,A)). [resolve(1174,a,1115,a)]. 13.87/14.79 1175 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(941,b,726,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | relation(f60(B,A)) | -latt_str(B). [resolve(1175,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | relation(f60(c34,A)). [resolve(1175,a,1115,a)]. 13.87/14.79 1176 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(941,b,727,a)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1176,a,1088,b)]. 13.87/14.79 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | relation_dom(f60(c34,A)) = A. [resolve(1176,a,1115,a)]. 13.87/14.80 1177 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,728,a)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(B))) | E != D | apply(f60(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1177,a,1088,b)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f60(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1177,a,1115,a)]. 13.87/14.80 1178 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(941,b,729,a)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | subset_complement(the_carrier(B),f59(B,A,C)) != C | function(f60(B,A)) | -latt_str(B). [resolve(1178,a,1088,b)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | subset_complement(the_carrier(c34),f59(c34,A,B)) != B | function(f60(c34,A)). [resolve(1178,a,1115,a)]. 13.87/14.80 1179 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(941,b,730,a)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | in(f58(B,A),A) | relation(f60(B,A)) | -latt_str(B). [resolve(1179,a,1088,b)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | in(f58(c34,A),A) | relation(f60(c34,A)). [resolve(1179,a,1115,a)]. 13.87/14.80 1180 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(941,b,731,a)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | in(f58(B,A),A) | relation_dom(f60(B,A)) = A | -latt_str(B). [resolve(1180,a,1088,b)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | in(f58(c34,A),A) | relation_dom(f60(c34,A)) = A. [resolve(1180,a,1115,a)]. 13.87/14.80 1181 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,732,a)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | in(f58(B,A),A) | -in(C,A) | -element(D,powerset(the_carrier(B))) | D != C | apply(f60(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1181,a,1088,b)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | in(f58(c34,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c34))) | C != B | apply(f60(c34,A),B) = subset_complement(the_carrier(c34),C). [resolve(1181,a,1115,a)]. 13.87/14.80 1182 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(941,b,733,a)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f57(B,A) != f56(B,A) | in(f58(B,A),A) | function(f60(B,A)) | -latt_str(B). [resolve(1182,a,1088,b)]. 13.87/14.80 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f57(c34,A) != f56(c34,A) | in(f58(c34,A),A) | function(f60(c34,A)). [resolve(1182,a,1115,a)]. 13.87/14.80 1183 -meet_semilatt_str(A) | -element(B,powerset(the_carrier(A))) | subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B). [resolve(941,b,734,a)]. 13.87/14.80 Derived: -element(A,powerset(the_carrier(B))) | subset_complement(the_carrier(B),A) = subset_difference(the_carrier(B),cast_as_carrier_subset(B),A) | -latt_str(B). [resolve(1183,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(the_carrier(c34))) | subset_complement(the_carrier(c34),A) = subset_difference(the_carrier(c34),cast_as_carrier_subset(c34),A). [resolve(1183,a,1115,a)]. 13.87/14.81 1184 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | ordered_pair(f81(A,B,D,C),f82(A,B,D,C)) = C. [resolve(941,b,735,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f80(B,A,D)) | ordered_pair(f81(B,A,D,C),f82(B,A,D,C)) = C | -latt_str(B). [resolve(1184,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -in(B,f80(c34,A,C)) | ordered_pair(f81(c34,A,C,B),f82(c34,A,C,B)) = B. [resolve(1184,a,1115,a)]. 13.87/14.81 1185 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | -element(E,powerset(the_carrier(A))) | E != f81(A,B,D,C) | subset_complement(the_carrier(A),E) = f82(A,B,D,C). [resolve(941,b,736,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f80(B,A,D)) | -element(E,powerset(the_carrier(B))) | E != f81(B,A,D,C) | subset_complement(the_carrier(B),E) = f82(B,A,D,C) | -latt_str(B). [resolve(1185,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -in(B,f80(c34,A,C)) | -element(D,powerset(the_carrier(c34))) | D != f81(c34,A,C,B) | subset_complement(the_carrier(c34),D) = f82(c34,A,C,B). [resolve(1185,a,1115,a)]. 13.87/14.81 1186 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(f81(A,B,D,C),B). [resolve(941,b,737,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f80(B,A,D)) | in(f81(B,A,D,C),A) | -latt_str(B). [resolve(1186,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -in(B,f80(c34,A,C)) | in(f81(c34,A,C,B),A). [resolve(1186,a,1115,a)]. 13.87/14.81 1187 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(C,cartesian_product2(B,D)). [resolve(941,b,738,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -in(C,f80(B,A,D)) | in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(1187,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -in(B,f80(c34,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1187,a,1115,a)]. 13.87/14.81 1188 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | element(f83(A,B,D,C,E,F),powerset(the_carrier(A))) | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(941,b,739,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f80(B,A,D)) | ordered_pair(E,F) != C | element(f83(B,A,D,C,E,F),powerset(the_carrier(B))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(1188,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(B,f80(c34,A,C)) | ordered_pair(D,E) != B | element(f83(c34,A,C,B,D,E),powerset(the_carrier(c34))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1188,a,1115,a)]. 13.87/14.81 1189 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | f83(A,B,D,C,E,F) = E | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(941,b,740,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f80(B,A,D)) | ordered_pair(E,F) != C | f83(B,A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(1189,a,1088,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(B,f80(c34,A,C)) | ordered_pair(D,E) != B | f83(c34,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1189,a,1115,a)]. 13.87/14.81 1190 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(A),f83(A,B,D,C,E,F)) != F | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(941,b,741,b)]. 13.87/14.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,f80(B,A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(B),f83(B,A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B). [resolve(1190,a,1088,b)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(B,f80(c34,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c34),f83(c34,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1190,a,1115,a)]. 13.87/14.82 1191 -meet_semilatt_str(A) | -empty(the_carrier(A)) | empty_carrier(A). [resolve(941,b,742,a)]. 13.87/14.82 Derived: -empty(the_carrier(A)) | empty_carrier(A) | -latt_str(A). [resolve(1191,a,1088,b)]. 13.87/14.82 Derived: -empty(the_carrier(c34)) | empty_carrier(c34). [resolve(1191,a,1115,a)]. 13.87/14.82 1192 -meet_semilatt_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(941,b,743,a)]. 13.87/14.82 Derived: empty(the_carrier(A)) | -empty_carrier(A) | -latt_str(A). [resolve(1192,a,1088,b)]. 13.87/14.82 Derived: empty(the_carrier(c34)) | -empty_carrier(c34). [resolve(1192,a,1115,a)]. 13.87/14.82 1193 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(941,b,744,a)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | element(f139(B,A,F,E,C,D),powerset(the_carrier(B))) | -in(C,complements_of_subsets(the_carrier(B),A)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),F)) | in(E,f138(B,A,F)) | -latt_str(B). [resolve(1193,a,1088,b)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(B,C) != D | element(f139(c34,A,E,D,B,C),powerset(the_carrier(c34))) | -in(B,complements_of_subsets(the_carrier(c34),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c34),A),E)) | in(D,f138(c34,A,E)). [resolve(1193,a,1115,a)]. 13.87/14.82 1194 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(941,b,745,a)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | f139(B,A,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(B),A)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),F)) | in(E,f138(B,A,F)) | -latt_str(B). [resolve(1194,a,1088,b)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(B,C) != D | f139(c34,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c34),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c34),A),E)) | in(D,f138(c34,A,E)). [resolve(1194,a,1115,a)]. 13.87/14.82 1195 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(941,b,746,a)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(B),f139(B,A,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(B),A)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(B),A),F)) | in(E,f138(B,A,F)) | -latt_str(B). [resolve(1195,a,1088,b)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c34),f139(c34,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c34),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c34),A),E)) | in(D,f138(c34,A,E)). [resolve(1195,a,1115,a)]. 13.87/14.82 1196 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)). [resolve(941,b,747,a)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f140(B,A,C,D),f141(B,A,C,D)) = D | -in(D,f138(B,A,C)) | -latt_str(B). [resolve(1196,a,1088,b)]. 13.87/14.82 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f140(c34,A,B,C),f141(c34,A,B,C)) = C | -in(C,f138(c34,A,B)). [resolve(1196,a,1115,a)]. 13.96/14.83 1197 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)). [resolve(941,b,748,a)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f140(B,A,D,E) | subset_complement(the_carrier(B),C) = f141(B,A,D,E) | -in(E,f138(B,A,D)) | -latt_str(B). [resolve(1197,a,1088,b)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f140(c34,A,C,D) | subset_complement(the_carrier(c34),B) = f141(c34,A,C,D) | -in(D,f138(c34,A,C)). [resolve(1197,a,1115,a)]. 13.96/14.83 1198 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)). [resolve(941,b,749,a)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f140(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f138(B,A,C)) | -latt_str(B). [resolve(1198,a,1088,b)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f140(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)) | -in(C,f138(c34,A,B)). [resolve(1198,a,1115,a)]. 13.96/14.83 1199 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)). [resolve(941,b,750,a)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -in(C,f138(B,A,D)) | -latt_str(B). [resolve(1199,a,1088,b)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)) | -in(B,f138(c34,A,C)). [resolve(1199,a,1115,a)]. 13.96/14.83 1200 -meet_semilatt_str(A) | identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)). [resolve(941,b,752,a)]. 13.96/14.83 Derived: identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)) | -latt_str(A). [resolve(1200,a,1088,b)]. 13.96/14.83 Derived: identity_on_carrier(c34) = identity_as_relation_of(the_carrier(c34)). [resolve(1200,a,1115,a)]. 13.96/14.83 1201 -meet_semilatt_str(A) | empty_carrier(A) | element(f154(A),powerset(the_carrier(A))). [resolve(941,b,753,a)]. 13.96/14.83 Derived: empty_carrier(A) | element(f154(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1201,a,1088,b)]. 13.96/14.83 Derived: empty_carrier(c34) | element(f154(c34),powerset(the_carrier(c34))). [resolve(1201,a,1115,a)]. 13.96/14.83 1202 -meet_semilatt_str(A) | empty_carrier(A) | -empty(f154(A)). [resolve(941,b,754,a)]. 13.96/14.83 Derived: empty_carrier(A) | -empty(f154(A)) | -latt_str(A). [resolve(1202,a,1088,b)]. 13.96/14.83 Derived: empty_carrier(c34) | -empty(f154(c34)). [resolve(1202,a,1115,a)]. 13.96/14.83 1203 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,755,b)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -latt_str(B). [resolve(1203,a,1088,b)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | function(f164(c34,A)). [resolve(1203,a,1115,a)]. 13.96/14.83 1204 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,756,b)]. 13.96/14.83 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1204,a,1088,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1204,a,1115,a)]. 13.96/14.84 1205 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,757,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1205,a,1088,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1205,a,1115,a)]. 13.96/14.84 1206 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,758,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -latt_str(B). [resolve(1206,a,1088,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | relation(f164(c34,A)). [resolve(1206,a,1115,a)]. 13.96/14.84 1207 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,759,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) | -latt_str(B). [resolve(1207,a,1088,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | function(f164(c34,A)). [resolve(1207,a,1115,a)]. 13.96/14.84 1208 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,760,b)]. 13.96/14.84 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1208,a,1088,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1208,a,1115,a)]. 13.96/14.85 1209 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,761,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1209,a,1088,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | -in(D,complements_of_subsets(the_carrier(c34),A)) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f164(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1209,a,1115,a)]. 13.96/14.85 1210 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,762,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) | -latt_str(B). [resolve(1210,a,1088,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | relation(f164(c34,A)). [resolve(1210,a,1115,a)]. 13.96/14.85 1211 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(941,b,763,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) | -latt_str(B). [resolve(1211,a,1088,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | f163(c34,A,C) = f162(c34,A) | function(f164(c34,A)). [resolve(1211,a,1115,a)]. 13.96/14.85 1212 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,764,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1212,a,1088,b)]. 13.96/14.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | f163(c34,A,C) = f162(c34,A) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1212,a,1115,a)]. 13.96/14.86 1213 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,765,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1213,a,1088,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | f163(c34,A,C) = f162(c34,A) | -in(D,complements_of_subsets(the_carrier(c34),A)) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f164(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1213,a,1115,a)]. 13.96/14.86 1214 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,766,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) | -latt_str(B). [resolve(1214,a,1088,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | f163(c34,A,C) = f162(c34,A) | relation(f164(c34,A)). [resolve(1214,a,1115,a)]. 13.96/14.86 1215 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(941,b,767,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) | -latt_str(B). [resolve(1215,a,1088,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | function(f164(c34,A)). [resolve(1215,a,1115,a)]. 13.96/14.86 1216 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,768,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1216,a,1088,b)]. 13.96/14.86 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1216,a,1115,a)]. 13.96/14.86 1217 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,769,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1217,a,1088,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c34),A)) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f164(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1217,a,1115,a)]. 13.96/14.87 1218 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f161(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(941,b,770,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) | -latt_str(B). [resolve(1218,a,1088,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f161(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | relation(f164(c34,A)). [resolve(1218,a,1115,a)]. 13.96/14.87 1219 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,771,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -latt_str(B). [resolve(1219,a,1088,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | function(f164(c34,A)). [resolve(1219,a,1115,a)]. 13.96/14.87 1220 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,772,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1220,a,1088,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1220,a,1115,a)]. 13.96/14.87 1221 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,773,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1221,a,1088,b)]. 13.96/14.87 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1221,a,1115,a)]. 13.96/14.87 1222 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,774,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -latt_str(B). [resolve(1222,a,1088,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | relation(f164(c34,A)). [resolve(1222,a,1115,a)]. 13.96/14.88 1223 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,775,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) | -latt_str(B). [resolve(1223,a,1088,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | function(f164(c34,A)). [resolve(1223,a,1115,a)]. 13.96/14.88 1224 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,776,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1224,a,1088,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1224,a,1115,a)]. 13.96/14.88 1225 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(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(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,777,b)]. 13.96/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1225,a,1088,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | -in(D,complements_of_subsets(the_carrier(c34),A)) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f164(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1225,a,1115,a)]. 14.01/14.88 1226 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | element(f163(A,B,D),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,778,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) | -latt_str(B). [resolve(1226,a,1088,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | element(f163(c34,A,C),powerset(the_carrier(c34))) | relation(f164(c34,A)). [resolve(1226,a,1115,a)]. 14.01/14.88 1227 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | function(f164(A,B)). [resolve(941,b,779,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) | -latt_str(B). [resolve(1227,a,1088,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | f163(c34,A,C) = f162(c34,A) | function(f164(c34,A)). [resolve(1227,a,1115,a)]. 14.01/14.88 1228 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,780,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1228,a,1088,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | f163(c34,A,C) = f162(c34,A) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1228,a,1115,a)]. 14.01/14.88 1229 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,781,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1229,a,1088,b)]. 14.01/14.88 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | f163(c34,A,C) = f162(c34,A) | -in(D,complements_of_subsets(the_carrier(c34),A)) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f164(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1229,a,1115,a)]. 14.01/14.89 1230 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | f163(A,B,D) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,782,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) | -latt_str(B). [resolve(1230,a,1088,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | f163(c34,A,C) = f162(c34,A) | relation(f164(c34,A)). [resolve(1230,a,1115,a)]. 14.01/14.89 1231 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | function(f164(A,B)). [resolve(941,b,783,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) | -latt_str(B). [resolve(1231,a,1088,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | function(f164(c34,A)). [resolve(1231,a,1115,a)]. 14.01/14.89 1232 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,784,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1232,a,1088,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1232,a,1115,a)]. 14.01/14.89 1233 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | -element(F,powerset(the_carrier(A))) | F != E | apply(f164(A,B),E) = subset_complement(the_carrier(A),F). [resolve(941,b,785,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -latt_str(B). [resolve(1233,a,1088,b)]. 14.01/14.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c34),A)) | -element(E,powerset(the_carrier(c34))) | E != D | apply(f164(c34,A),D) = subset_complement(the_carrier(c34),E). [resolve(1233,a,1115,a)]. 14.01/14.89 1234 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f159(A,B) | subset_complement(the_carrier(A),C) = f160(A,B) | subset_complement(the_carrier(A),f163(A,B,D)) != D | relation(f164(A,B)). [resolve(941,b,786,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) | -latt_str(B). [resolve(1234,a,1088,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f159(c34,A) | subset_complement(the_carrier(c34),B) = f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,C)) != C | relation(f164(c34,A)). [resolve(1234,a,1115,a)]. 14.01/14.90 1235 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,787,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -latt_str(B). [resolve(1235,a,1088,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | function(f164(c34,A)). [resolve(1235,a,1115,a)]. 14.01/14.90 1236 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,788,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1236,a,1088,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1236,a,1115,a)]. 14.01/14.90 1237 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,789,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1237,a,1088,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | -element(C,powerset(the_carrier(c34))) | C != B | apply(f164(c34,A),B) = subset_complement(the_carrier(c34),C). [resolve(1237,a,1115,a)]. 14.01/14.90 1238 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,790,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -latt_str(B). [resolve(1238,a,1088,b)]. 14.01/14.90 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | relation(f164(c34,A)). [resolve(1238,a,1115,a)]. 14.01/14.91 1239 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,791,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) | -latt_str(B). [resolve(1239,a,1088,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | element(f163(c34,A,B),powerset(the_carrier(c34))) | function(f164(c34,A)). [resolve(1239,a,1115,a)]. 14.01/14.91 1240 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,792,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1240,a,1088,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | element(f163(c34,A,B),powerset(the_carrier(c34))) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1240,a,1115,a)]. 14.01/14.91 1241 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,793,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1241,a,1088,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | element(f163(c34,A,B),powerset(the_carrier(c34))) | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1241,a,1115,a)]. 14.01/14.91 1242 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,794,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) | -latt_str(B). [resolve(1242,a,1088,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | element(f163(c34,A,B),powerset(the_carrier(c34))) | relation(f164(c34,A)). [resolve(1242,a,1115,a)]. 14.01/14.91 1243 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(941,b,795,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) | -latt_str(B). [resolve(1243,a,1088,b)]. 14.01/14.91 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | f163(c34,A,B) = f162(c34,A) | function(f164(c34,A)). [resolve(1243,a,1115,a)]. 14.01/14.91 1244 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,796,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1244,a,1088,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | f163(c34,A,B) = f162(c34,A) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1244,a,1115,a)]. 14.01/14.92 1245 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,797,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1245,a,1088,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | f163(c34,A,B) = f162(c34,A) | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1245,a,1115,a)]. 14.01/14.92 1246 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,798,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) | -latt_str(B). [resolve(1246,a,1088,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | f163(c34,A,B) = f162(c34,A) | relation(f164(c34,A)). [resolve(1246,a,1115,a)]. 14.01/14.92 1247 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(941,b,799,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) | -latt_str(B). [resolve(1247,a,1088,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | function(f164(c34,A)). [resolve(1247,a,1115,a)]. 14.01/14.92 1248 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,800,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1248,a,1088,b)]. 14.01/14.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1248,a,1115,a)]. 14.01/14.92 1249 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,801,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1249,a,1088,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1249,a,1115,a)]. 14.01/14.93 1250 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f159(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(941,b,802,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) | -latt_str(B). [resolve(1250,a,1088,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f159(c34,A),complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | relation(f164(c34,A)). [resolve(1250,a,1115,a)]. 14.01/14.93 1251 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | function(f164(A,B)). [resolve(941,b,803,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -latt_str(B). [resolve(1251,a,1088,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | function(f164(c34,A)). [resolve(1251,a,1115,a)]. 14.01/14.93 1252 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,804,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1252,a,1088,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1252,a,1115,a)]. 14.01/14.93 1253 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(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(f164(A,B),C) = subset_complement(the_carrier(A),D). [resolve(941,b,805,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) | -latt_str(B). [resolve(1253,a,1088,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | -element(C,powerset(the_carrier(c34))) | C != B | apply(f164(c34,A),B) = subset_complement(the_carrier(c34),C). [resolve(1253,a,1115,a)]. 14.01/14.93 1254 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | in(f162(A,B),complements_of_subsets(the_carrier(A),B)) | relation(f164(A,B)). [resolve(941,b,806,b)]. 14.01/14.93 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -latt_str(B). [resolve(1254,a,1088,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | in(f162(c34,A),complements_of_subsets(the_carrier(c34),A)) | relation(f164(c34,A)). [resolve(1254,a,1115,a)]. 14.01/14.94 1255 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | function(f164(A,B)). [resolve(941,b,807,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) | -latt_str(B). [resolve(1255,a,1088,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | element(f163(c34,A,B),powerset(the_carrier(c34))) | function(f164(c34,A)). [resolve(1255,a,1115,a)]. 14.01/14.94 1256 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,808,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1256,a,1088,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | element(f163(c34,A,B),powerset(the_carrier(c34))) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1256,a,1115,a)]. 14.01/14.94 1257 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(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(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,809,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1257,a,1088,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | element(f163(c34,A,B),powerset(the_carrier(c34))) | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1257,a,1115,a)]. 14.01/14.94 1258 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | element(f163(A,B,C),powerset(the_carrier(A))) | relation(f164(A,B)). [resolve(941,b,810,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) | -latt_str(B). [resolve(1258,a,1088,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | element(f163(c34,A,B),powerset(the_carrier(c34))) | relation(f164(c34,A)). [resolve(1258,a,1115,a)]. 14.01/14.94 1259 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | function(f164(A,B)). [resolve(941,b,811,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) | -latt_str(B). [resolve(1259,a,1088,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | f163(c34,A,B) = f162(c34,A) | function(f164(c34,A)). [resolve(1259,a,1115,a)]. 14.01/14.94 1260 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,812,b)]. 14.01/14.94 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1260,a,1088,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | f163(c34,A,B) = f162(c34,A) | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1260,a,1115,a)]. 14.08/14.95 1261 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,813,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1261,a,1088,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | f163(c34,A,B) = f162(c34,A) | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1261,a,1115,a)]. 14.08/14.95 1262 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | f163(A,B,C) = f162(A,B) | relation(f164(A,B)). [resolve(941,b,814,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) | -latt_str(B). [resolve(1262,a,1088,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | f163(c34,A,B) = f162(c34,A) | relation(f164(c34,A)). [resolve(1262,a,1115,a)]. 14.08/14.95 1263 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | function(f164(A,B)). [resolve(941,b,815,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) | -latt_str(B). [resolve(1263,a,1088,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | function(f164(c34,A)). [resolve(1263,a,1115,a)]. 14.08/14.95 1264 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | complements_of_subsets(the_carrier(A),B) = relation_dom(f164(A,B)). [resolve(941,b,816,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -latt_str(B). [resolve(1264,a,1088,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | complements_of_subsets(the_carrier(c34),A) = relation_dom(f164(c34,A)). [resolve(1264,a,1115,a)]. 14.08/14.95 1265 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | -element(E,powerset(the_carrier(A))) | E != D | apply(f164(A,B),D) = subset_complement(the_carrier(A),E). [resolve(941,b,817,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -latt_str(B). [resolve(1265,a,1088,b)]. 14.08/14.95 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c34),A)) | -element(D,powerset(the_carrier(c34))) | D != C | apply(f164(c34,A),C) = subset_complement(the_carrier(c34),D). [resolve(1265,a,1115,a)]. 14.08/14.95 1266 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f161(A,B) != f160(A,B) | subset_complement(the_carrier(A),f163(A,B,C)) != C | relation(f164(A,B)). [resolve(941,b,818,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) | -latt_str(B). [resolve(1266,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f161(c34,A) != f160(c34,A) | subset_complement(the_carrier(c34),f163(c34,A,B)) != B | relation(f164(c34,A)). [resolve(1266,a,1115,a)]. 14.08/14.96 1267 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -finite(complements_of_subsets(the_carrier(A),B)) | finite(B). [resolve(941,b,819,a)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -latt_str(B). [resolve(1267,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -finite(complements_of_subsets(the_carrier(c34),A)) | finite(A). [resolve(1267,a,1115,a)]. 14.08/14.96 1268 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | finite(complements_of_subsets(the_carrier(A),B)) | -finite(B). [resolve(941,b,820,a)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -latt_str(B). [resolve(1268,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | finite(complements_of_subsets(the_carrier(c34),A)) | -finite(A). [resolve(1268,a,1115,a)]. 14.08/14.96 1269 -meet_semilatt_str(A) | empty_carrier(A) | -empty(cast_as_carrier_subset(A)). [resolve(941,b,821,a)]. 14.08/14.96 Derived: empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -latt_str(A). [resolve(1269,a,1088,b)]. 14.08/14.96 Derived: empty_carrier(c34) | -empty(cast_as_carrier_subset(c34)). [resolve(1269,a,1115,a)]. 14.08/14.96 1270 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,822,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1270,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1270,a,1115,a)]. 14.08/14.96 1271 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,823,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1271,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1271,a,1115,a)]. 14.08/14.96 1272 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,824,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1272,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1272,a,1115,a)]. 14.08/14.96 1273 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,825,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1273,a,1088,b)]. 14.08/14.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1273,a,1115,a)]. 14.10/14.97 1274 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,826,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1274,a,1088,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1274,a,1115,a)]. 14.10/14.97 1275 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,827,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1275,a,1088,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1275,a,1115,a)]. 14.10/14.97 1276 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,828,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1276,a,1088,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1276,a,1115,a)]. 14.10/14.97 1277 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,829,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1277,a,1088,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) = f191(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1277,a,1115,a)]. 14.10/14.97 1278 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(941,b,830,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) | -latt_str(B). [resolve(1278,a,1088,b)]. 14.10/14.97 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | -in(D,f198(c34,A,C)) | in(f200(c34,A,C,D),A). [resolve(1278,a,1115,a)]. 14.10/14.97 1279 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(941,b,831,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) | -latt_str(B). [resolve(1279,a,1088,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | -in(D,f198(c34,A,C)) | -element(E,powerset(the_carrier(c34))) | E != f200(c34,A,C,D) | subset_complement(the_carrier(c34),E) = f201(c34,A,C,D). [resolve(1279,a,1115,a)]. 14.10/14.98 1280 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(941,b,832,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E | -latt_str(B). [resolve(1280,a,1088,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | -in(D,f198(c34,A,C)) | ordered_pair(f200(c34,A,C,D),f201(c34,A,C,D)) = D. [resolve(1280,a,1115,a)]. 14.10/14.98 1281 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(941,b,833,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E | -latt_str(B). [resolve(1281,a,1088,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | -in(D,f198(c34,A,C)) | f199(c34,A,C,D) = D. [resolve(1281,a,1115,a)]. 14.10/14.98 1282 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(941,b,834,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) | -latt_str(B). [resolve(1282,a,1088,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | -in(D,f198(c34,A,C)) | in(f199(c34,A,C,D),cartesian_product2(A,C)). [resolve(1282,a,1115,a)]. 14.10/14.98 1283 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,835,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B). [resolve(1283,a,1088,b)]. 14.10/14.98 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | in(D,f198(c34,A,C)) | -in(E,A) | element(f202(c34,A,C,D,F,E,V6),powerset(the_carrier(c34))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1283,a,1115,a)]. 14.10/14.99 1284 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,836,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B). [resolve(1284,a,1088,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | in(D,f198(c34,A,C)) | -in(E,A) | f202(c34,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1284,a,1115,a)]. 14.10/14.99 1285 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | f194(A,B,D) != C | subset_complement(the_carrier(A),C) = f195(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,837,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B). [resolve(1285,a,1088,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f194(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f195(c34,A,C) | in(D,f198(c34,A,C)) | -in(E,A) | subset_complement(the_carrier(c34),f202(c34,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1285,a,1115,a)]. 14.10/14.99 1286 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,838,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1286,a,1088,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1286,a,1115,a)]. 14.10/14.99 1287 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,839,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1287,a,1088,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1287,a,1115,a)]. 14.10/14.99 1288 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,840,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1288,a,1088,b)]. 14.10/14.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1288,a,1115,a)]. 14.10/15.00 1289 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,841,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1289,a,1088,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1289,a,1115,a)]. 14.10/15.00 1290 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,842,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1290,a,1088,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1290,a,1115,a)]. 14.10/15.00 1291 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,843,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1291,a,1088,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1291,a,1115,a)]. 14.10/15.00 1292 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,844,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1292,a,1088,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1292,a,1115,a)]. 14.10/15.00 1293 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f194(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,845,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1293,a,1088,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f194(c34,A,B),A) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1293,a,1115,a)]. 14.10/15.00 1294 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,846,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1294,a,1088,b)]. 14.10/15.00 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1294,a,1115,a)]. 14.15/15.01 1295 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,847,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1295,a,1088,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1295,a,1115,a)]. 14.15/15.01 1296 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,848,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1296,a,1088,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1296,a,1115,a)]. 14.15/15.01 1297 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,849,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1297,a,1088,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1297,a,1115,a)]. 14.15/15.01 1298 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,850,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1298,a,1088,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1298,a,1115,a)]. 14.15/15.01 1299 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,851,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1299,a,1088,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1299,a,1115,a)]. 14.15/15.01 1300 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,852,b)]. 14.15/15.01 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1300,a,1088,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1300,a,1115,a)]. 14.15/15.02 1301 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f194(A,B,C),f195(A,B,C)) = f193(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,853,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1301,a,1088,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f194(c34,A,B),f195(c34,A,B)) = f193(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1301,a,1115,a)]. 14.15/15.02 1302 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,854,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1302,a,1088,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1302,a,1115,a)]. 14.15/15.02 1303 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,855,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1303,a,1088,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1303,a,1115,a)]. 14.15/15.02 1304 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,856,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1304,a,1088,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1304,a,1115,a)]. 14.15/15.02 1305 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,857,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1305,a,1088,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1305,a,1115,a)]. 14.15/15.02 1306 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,858,b)]. 14.15/15.02 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1306,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1306,a,1115,a)]. 14.15/15.04 1307 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,859,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1307,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1307,a,1115,a)]. 14.15/15.04 1308 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,860,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1308,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1308,a,1115,a)]. 14.15/15.04 1309 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f196(A,B,C),B) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,861,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1309,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f196(c34,A,B),A) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1309,a,1115,a)]. 14.15/15.04 1310 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f200(A,B,D,E),B). [resolve(941,b,862,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) | -latt_str(B). [resolve(1310,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | -in(D,f198(c34,A,C)) | in(f200(c34,A,C,D),A). [resolve(1310,a,1115,a)]. 14.15/15.04 1311 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | -element(F,powerset(the_carrier(A))) | F != f200(A,B,D,E) | subset_complement(the_carrier(A),F) = f201(A,B,D,E). [resolve(941,b,863,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) | -latt_str(B). [resolve(1311,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | -in(D,f198(c34,A,C)) | -element(E,powerset(the_carrier(c34))) | E != f200(c34,A,C,D) | subset_complement(the_carrier(c34),E) = f201(c34,A,C,D). [resolve(1311,a,1115,a)]. 14.15/15.04 1312 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | ordered_pair(f200(A,B,D,E),f201(A,B,D,E)) = E. [resolve(941,b,864,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E | -latt_str(B). [resolve(1312,a,1088,b)]. 14.15/15.04 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | -in(D,f198(c34,A,C)) | ordered_pair(f200(c34,A,C,D),f201(c34,A,C,D)) = D. [resolve(1312,a,1115,a)]. 14.15/15.05 1313 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | f199(A,B,D,E) = E. [resolve(941,b,865,b)]. 14.15/15.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E | -latt_str(B). [resolve(1313,a,1088,b)]. 14.15/15.05 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | -in(D,f198(c34,A,C)) | f199(c34,A,C,D) = D. [resolve(1313,a,1115,a)]. 14.15/15.05 1314 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | -in(E,f198(A,B,D)) | in(f199(A,B,D,E),cartesian_product2(B,D)). [resolve(941,b,866,b)]. 14.15/15.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) | -latt_str(B). [resolve(1314,a,1088,b)]. 14.15/15.05 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | -in(D,f198(c34,A,C)) | in(f199(c34,A,C,D),cartesian_product2(A,C)). [resolve(1314,a,1115,a)]. 14.15/15.05 1315 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | element(f202(A,B,D,E,V6,F,V7),powerset(the_carrier(A))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,867,b)]. 14.15/15.05 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B). [resolve(1315,a,1088,b)]. 14.15/15.05 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | in(D,f198(c34,A,C)) | -in(E,A) | element(f202(c34,A,C,D,F,E,V6),powerset(the_carrier(c34))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1315,a,1115,a)]. 14.15/15.05 1316 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | f202(A,B,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,868,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B). [resolve(1316,a,1088,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | in(D,f198(c34,A,C)) | -in(E,A) | f202(c34,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1316,a,1115,a)]. 14.15/15.06 1317 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f196(A,B,D) | subset_complement(the_carrier(A),C) = f197(A,B,D) | in(E,f198(A,B,D)) | -in(F,B) | subset_complement(the_carrier(A),f202(A,B,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(B,D)). [resolve(941,b,869,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B). [resolve(1317,a,1088,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f196(c34,A,C) | subset_complement(the_carrier(c34),B) = f197(c34,A,C) | in(D,f198(c34,A,C)) | -in(E,A) | subset_complement(the_carrier(c34),f202(c34,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1317,a,1115,a)]. 14.15/15.06 1318 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,870,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1318,a,1088,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1318,a,1115,a)]. 14.15/15.06 1319 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,871,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1319,a,1088,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1319,a,1115,a)]. 14.15/15.06 1320 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,872,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1320,a,1088,b)]. 14.15/15.06 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1320,a,1115,a)]. 14.15/15.06 1321 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,873,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1321,a,1088,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1321,a,1115,a)]. 14.20/15.07 1322 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,874,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1322,a,1088,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1322,a,1115,a)]. 14.20/15.07 1323 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,875,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1323,a,1088,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1323,a,1115,a)]. 14.20/15.07 1324 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,876,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1324,a,1088,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1324,a,1115,a)]. 14.20/15.07 1325 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f196(A,B,C),f197(A,B,C)) = f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,877,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1325,a,1088,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f196(c34,A,B),f197(c34,A,B)) = f192(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1325,a,1115,a)]. 14.20/15.07 1326 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,878,b)]. 14.20/15.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1326,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1326,a,1115,a)]. 14.20/15.08 1327 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,879,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1327,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1327,a,1115,a)]. 14.20/15.08 1328 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,880,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1328,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1328,a,1115,a)]. 14.20/15.08 1329 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,881,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1329,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1329,a,1115,a)]. 14.20/15.08 1330 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,882,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1330,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1330,a,1115,a)]. 14.20/15.08 1331 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,883,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1331,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1331,a,1115,a)]. 14.20/15.08 1332 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,884,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1332,a,1088,b)]. 14.20/15.08 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1332,a,1115,a)]. 14.20/15.09 1333 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f192(A,B,C) = f191(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,885,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1333,a,1088,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f192(c34,A,B) = f191(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1333,a,1115,a)]. 14.20/15.09 1334 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f200(A,B,C,D),B). [resolve(941,b,886,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -latt_str(B). [resolve(1334,a,1088,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | -in(C,f198(c34,A,B)) | in(f200(c34,A,B,C),A). [resolve(1334,a,1115,a)]. 14.20/15.09 1335 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | -element(E,powerset(the_carrier(A))) | E != f200(A,B,C,D) | subset_complement(the_carrier(A),E) = f201(A,B,C,D). [resolve(941,b,887,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -latt_str(B). [resolve(1335,a,1088,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | -in(C,f198(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f200(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f201(c34,A,B,C). [resolve(1335,a,1115,a)]. 14.20/15.09 1336 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | ordered_pair(f200(A,B,C,D),f201(A,B,C,D)) = D. [resolve(941,b,888,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -latt_str(B). [resolve(1336,a,1088,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | -in(C,f198(c34,A,B)) | ordered_pair(f200(c34,A,B,C),f201(c34,A,B,C)) = C. [resolve(1336,a,1115,a)]. 14.20/15.09 1337 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | f199(A,B,C,D) = D. [resolve(941,b,889,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -latt_str(B). [resolve(1337,a,1088,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | -in(C,f198(c34,A,B)) | f199(c34,A,B,C) = C. [resolve(1337,a,1115,a)]. 14.20/15.09 1338 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | -in(D,f198(A,B,C)) | in(f199(A,B,C,D),cartesian_product2(B,C)). [resolve(941,b,890,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -latt_str(B). [resolve(1338,a,1088,b)]. 14.20/15.09 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | -in(C,f198(c34,A,B)) | in(f199(c34,A,B,C),cartesian_product2(A,B)). [resolve(1338,a,1115,a)]. 14.20/15.09 1339 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | element(f202(A,B,C,D,F,E,V6),powerset(the_carrier(A))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,891,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1339,a,1088,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | element(f202(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1339,a,1115,a)]. 14.20/15.10 1340 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | f202(A,B,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,892,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1340,a,1088,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | f202(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1340,a,1115,a)]. 14.20/15.10 1341 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f193(A,B,C) != f192(A,B,C) | in(D,f198(A,B,C)) | -in(E,B) | subset_complement(the_carrier(A),f202(A,B,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(B,C)). [resolve(941,b,893,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B). [resolve(1341,a,1088,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f193(c34,A,B) != f192(c34,A,B) | in(C,f198(c34,A,B)) | -in(D,A) | subset_complement(the_carrier(c34),f202(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1341,a,1115,a)]. 14.20/15.10 1342 -meet_semilatt_str(A) | element(empty_carrier_subset(A),powerset(the_carrier(A))). [resolve(941,b,894,a)]. 14.20/15.10 Derived: element(empty_carrier_subset(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1342,a,1088,b)]. 14.20/15.10 Derived: element(empty_carrier_subset(c34),powerset(the_carrier(c34))). [resolve(1342,a,1115,a)]. 14.20/15.10 1343 -meet_semilatt_str(A) | element(cast_as_carrier_subset(A),powerset(the_carrier(A))). [resolve(941,b,895,a)]. 14.20/15.10 Derived: element(cast_as_carrier_subset(A),powerset(the_carrier(A))) | -latt_str(A). [resolve(1343,a,1088,b)]. 14.20/15.10 Derived: element(cast_as_carrier_subset(c34),powerset(the_carrier(c34))). [resolve(1343,a,1115,a)]. 14.20/15.10 1344 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(941,b,896,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) | -latt_str(B). [resolve(1344,a,1088,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f211(c34,A),A) | -in(B,f214(c34,A)) | in(f215(c34,A,B),A). [resolve(1344,a,1115,a)]. 14.20/15.10 1345 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(941,b,897,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C | -latt_str(B). [resolve(1345,a,1088,b)]. 14.20/15.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f211(c34,A),A) | -in(B,f214(c34,A)) | -element(C,powerset(the_carrier(c34))) | C != f215(c34,A,B) | subset_complement(the_carrier(c34),C) = B. [resolve(1345,a,1115,a)]. 14.20/15.11 1346 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(941,b,898,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1346,a,1088,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f211(c34,A),A) | in(B,f214(c34,A)) | -in(C,A) | element(f216(c34,A,B,C),powerset(the_carrier(c34))). [resolve(1346,a,1115,a)]. 14.20/15.11 1347 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(941,b,899,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D | -latt_str(B). [resolve(1347,a,1088,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f211(c34,A),A) | in(B,f214(c34,A)) | -in(C,A) | f216(c34,A,B,C) = C. [resolve(1347,a,1115,a)]. 14.20/15.11 1348 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f211(A,B),B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(941,b,900,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C | -latt_str(B). [resolve(1348,a,1088,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f211(c34,A),A) | in(B,f214(c34,A)) | -in(C,A) | subset_complement(the_carrier(c34),f216(c34,A,B,C)) != B. [resolve(1348,a,1115,a)]. 14.20/15.11 1349 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(941,b,901,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) | -latt_str(B). [resolve(1349,a,1088,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f213(c34,A) | -in(C,f214(c34,A)) | in(f215(c34,A,C),A). [resolve(1349,a,1115,a)]. 14.20/15.11 1350 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(941,b,902,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1350,a,1088,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f213(c34,A) | -in(C,f214(c34,A)) | -element(D,powerset(the_carrier(c34))) | D != f215(c34,A,C) | subset_complement(the_carrier(c34),D) = C. [resolve(1350,a,1115,a)]. 14.20/15.11 1351 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(941,b,903,b)]. 14.20/15.11 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1351,a,1088,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f213(c34,A) | in(C,f214(c34,A)) | -in(D,A) | element(f216(c34,A,C,D),powerset(the_carrier(c34))). [resolve(1351,a,1115,a)]. 14.20/15.13 1352 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(941,b,904,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E | -latt_str(B). [resolve(1352,a,1088,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f213(c34,A) | in(C,f214(c34,A)) | -in(D,A) | f216(c34,A,C,D) = D. [resolve(1352,a,1115,a)]. 14.20/15.13 1353 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f213(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(941,b,905,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D | -latt_str(B). [resolve(1353,a,1088,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f213(c34,A) | in(C,f214(c34,A)) | -in(D,A) | subset_complement(the_carrier(c34),f216(c34,A,C,D)) != C. [resolve(1353,a,1115,a)]. 14.20/15.13 1354 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | in(f215(A,B,D),B). [resolve(941,b,906,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) | -latt_str(B). [resolve(1354,a,1088,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f212(c34,A) | -in(C,f214(c34,A)) | in(f215(c34,A,C),A). [resolve(1354,a,1115,a)]. 14.20/15.13 1355 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | -in(D,f214(A,B)) | -element(E,powerset(the_carrier(A))) | E != f215(A,B,D) | subset_complement(the_carrier(A),E) = D. [resolve(941,b,907,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1355,a,1088,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f212(c34,A) | -in(C,f214(c34,A)) | -element(D,powerset(the_carrier(c34))) | D != f215(c34,A,C) | subset_complement(the_carrier(c34),D) = C. [resolve(1355,a,1115,a)]. 14.20/15.13 1356 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | element(f216(A,B,D,E),powerset(the_carrier(A))). [resolve(941,b,908,b)]. 14.20/15.13 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1356,a,1088,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f212(c34,A) | in(C,f214(c34,A)) | -in(D,A) | element(f216(c34,A,C,D),powerset(the_carrier(c34))). [resolve(1356,a,1115,a)]. 14.20/15.14 1357 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | f216(A,B,D,E) = E. [resolve(941,b,909,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E | -latt_str(B). [resolve(1357,a,1088,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f212(c34,A) | in(C,f214(c34,A)) | -in(D,A) | f216(c34,A,C,D) = D. [resolve(1357,a,1115,a)]. 14.20/15.14 1358 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f211(A,B) | subset_complement(the_carrier(A),C) = f212(A,B) | in(D,f214(A,B)) | -in(E,B) | subset_complement(the_carrier(A),f216(A,B,D,E)) != D. [resolve(941,b,910,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D | -latt_str(B). [resolve(1358,a,1088,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f211(c34,A) | subset_complement(the_carrier(c34),B) = f212(c34,A) | in(C,f214(c34,A)) | -in(D,A) | subset_complement(the_carrier(c34),f216(c34,A,C,D)) != C. [resolve(1358,a,1115,a)]. 14.20/15.14 1359 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | in(f215(A,B,C),B). [resolve(941,b,911,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) | -latt_str(B). [resolve(1359,a,1088,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f213(c34,A) != f212(c34,A) | -in(B,f214(c34,A)) | in(f215(c34,A,B),A). [resolve(1359,a,1115,a)]. 14.20/15.14 1360 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | -in(C,f214(A,B)) | -element(D,powerset(the_carrier(A))) | D != f215(A,B,C) | subset_complement(the_carrier(A),D) = C. [resolve(941,b,912,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C | -latt_str(B). [resolve(1360,a,1088,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f213(c34,A) != f212(c34,A) | -in(B,f214(c34,A)) | -element(C,powerset(the_carrier(c34))) | C != f215(c34,A,B) | subset_complement(the_carrier(c34),C) = B. [resolve(1360,a,1115,a)]. 14.20/15.14 1361 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | element(f216(A,B,C,D),powerset(the_carrier(A))). [resolve(941,b,913,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1361,a,1088,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f213(c34,A) != f212(c34,A) | in(B,f214(c34,A)) | -in(C,A) | element(f216(c34,A,B,C),powerset(the_carrier(c34))). [resolve(1361,a,1115,a)]. 14.20/15.14 1362 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | f216(A,B,C,D) = D. [resolve(941,b,914,b)]. 14.20/15.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D | -latt_str(B). [resolve(1362,a,1088,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f213(c34,A) != f212(c34,A) | in(B,f214(c34,A)) | -in(C,A) | f216(c34,A,B,C) = C. [resolve(1362,a,1115,a)]. 14.30/15.15 1363 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f213(A,B) != f212(A,B) | in(C,f214(A,B)) | -in(D,B) | subset_complement(the_carrier(A),f216(A,B,C,D)) != C. [resolve(941,b,915,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C | -latt_str(B). [resolve(1363,a,1088,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f213(c34,A) != f212(c34,A) | in(B,f214(c34,A)) | -in(C,A) | subset_complement(the_carrier(c34),f216(c34,A,B,C)) != B. [resolve(1363,a,1115,a)]. 14.30/15.15 1364 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | element(f244(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,917,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -latt_str(B). [resolve(1364,a,1088,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f241(c34,A) | element(f244(c34,A,C,D),powerset(the_carrier(c34))) | -in(D,complements_of_subsets(the_carrier(c34),A)) | in(C,f243(c34,A)). [resolve(1364,a,1115,a)]. 14.30/15.15 1365 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | f244(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,918,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -latt_str(B). [resolve(1365,a,1088,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f241(c34,A) | f244(c34,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c34),A)) | in(C,f243(c34,A)). [resolve(1365,a,1115,a)]. 14.30/15.15 1366 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | subset_complement(the_carrier(A),f244(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,919,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -latt_str(B). [resolve(1366,a,1088,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f241(c34,A) | subset_complement(the_carrier(c34),f244(c34,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c34),A)) | in(C,f243(c34,A)). [resolve(1366,a,1115,a)]. 14.30/15.15 1367 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | -element(D,powerset(the_carrier(A))) | D != f245(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f243(A,B)). [resolve(941,b,920,b)]. 14.30/15.15 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -latt_str(B). [resolve(1367,a,1088,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f241(c34,A) | -element(C,powerset(the_carrier(c34))) | C != f245(c34,A,D) | subset_complement(the_carrier(c34),C) = D | -in(D,f243(c34,A)). [resolve(1367,a,1115,a)]. 14.30/15.16 1368 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f241(A,B) | in(f245(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f243(A,B)). [resolve(941,b,921,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -latt_str(B). [resolve(1368,a,1088,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f241(c34,A) | in(f245(c34,A,C),complements_of_subsets(the_carrier(c34),A)) | -in(C,f243(c34,A)). [resolve(1368,a,1115,a)]. 14.30/15.16 1369 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | element(f244(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,922,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -latt_str(B). [resolve(1369,a,1088,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f240(c34,A),complements_of_subsets(the_carrier(c34),A)) | element(f244(c34,A,B,C),powerset(the_carrier(c34))) | -in(C,complements_of_subsets(the_carrier(c34),A)) | in(B,f243(c34,A)). [resolve(1369,a,1115,a)]. 14.30/15.16 1370 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | f244(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,923,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -latt_str(B). [resolve(1370,a,1088,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f240(c34,A),complements_of_subsets(the_carrier(c34),A)) | f244(c34,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c34),A)) | in(B,f243(c34,A)). [resolve(1370,a,1115,a)]. 14.30/15.16 1371 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | subset_complement(the_carrier(A),f244(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,924,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -latt_str(B). [resolve(1371,a,1088,b)]. 14.30/15.16 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f240(c34,A),complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f244(c34,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c34),A)) | in(B,f243(c34,A)). [resolve(1371,a,1115,a)]. 14.30/15.16 1372 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | -element(C,powerset(the_carrier(A))) | C != f245(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f243(A,B)). [resolve(941,b,925,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -latt_str(B). [resolve(1372,a,1088,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f240(c34,A),complements_of_subsets(the_carrier(c34),A)) | -element(B,powerset(the_carrier(c34))) | B != f245(c34,A,C) | subset_complement(the_carrier(c34),B) = C | -in(C,f243(c34,A)). [resolve(1372,a,1115,a)]. 14.30/15.17 1373 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f240(A,B),complements_of_subsets(the_carrier(A),B)) | in(f245(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f243(A,B)). [resolve(941,b,926,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -latt_str(B). [resolve(1373,a,1088,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f240(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(f245(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(B,f243(c34,A)). [resolve(1373,a,1115,a)]. 14.30/15.17 1374 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | element(f244(A,B,D,E),powerset(the_carrier(A))) | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,927,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -latt_str(B). [resolve(1374,a,1088,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f242(c34,A) | element(f244(c34,A,C,D),powerset(the_carrier(c34))) | -in(D,complements_of_subsets(the_carrier(c34),A)) | in(C,f243(c34,A)). [resolve(1374,a,1115,a)]. 14.30/15.17 1375 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | f244(A,B,D,E) = E | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,928,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -latt_str(B). [resolve(1375,a,1088,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f242(c34,A) | f244(c34,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c34),A)) | in(C,f243(c34,A)). [resolve(1375,a,1115,a)]. 14.30/15.17 1376 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | subset_complement(the_carrier(A),f244(A,B,D,E)) != D | -in(E,complements_of_subsets(the_carrier(A),B)) | in(D,f243(A,B)). [resolve(941,b,929,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -latt_str(B). [resolve(1376,a,1088,b)]. 14.30/15.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f242(c34,A) | subset_complement(the_carrier(c34),f244(c34,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c34),A)) | in(C,f243(c34,A)). [resolve(1376,a,1115,a)]. 14.30/15.18 1377 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | -element(D,powerset(the_carrier(A))) | D != f245(A,B,E) | subset_complement(the_carrier(A),D) = E | -in(E,f243(A,B)). [resolve(941,b,930,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -latt_str(B). [resolve(1377,a,1088,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f242(c34,A) | -element(C,powerset(the_carrier(c34))) | C != f245(c34,A,D) | subset_complement(the_carrier(c34),C) = D | -in(D,f243(c34,A)). [resolve(1377,a,1115,a)]. 14.30/15.18 1378 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f240(A,B) | subset_complement(the_carrier(A),C) = f242(A,B) | in(f245(A,B,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f243(A,B)). [resolve(941,b,931,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -latt_str(B). [resolve(1378,a,1088,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f240(c34,A) | subset_complement(the_carrier(c34),B) = f242(c34,A) | in(f245(c34,A,C),complements_of_subsets(the_carrier(c34),A)) | -in(C,f243(c34,A)). [resolve(1378,a,1115,a)]. 14.30/15.18 1379 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | element(f244(A,B,C,D),powerset(the_carrier(A))) | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,932,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -latt_str(B). [resolve(1379,a,1088,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f242(c34,A) != f241(c34,A) | element(f244(c34,A,B,C),powerset(the_carrier(c34))) | -in(C,complements_of_subsets(the_carrier(c34),A)) | in(B,f243(c34,A)). [resolve(1379,a,1115,a)]. 14.30/15.18 1380 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | f244(A,B,C,D) = D | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,933,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -latt_str(B). [resolve(1380,a,1088,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f242(c34,A) != f241(c34,A) | f244(c34,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c34),A)) | in(B,f243(c34,A)). [resolve(1380,a,1115,a)]. 14.30/15.18 1381 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | subset_complement(the_carrier(A),f244(A,B,C,D)) != C | -in(D,complements_of_subsets(the_carrier(A),B)) | in(C,f243(A,B)). [resolve(941,b,934,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -latt_str(B). [resolve(1381,a,1088,b)]. 14.30/15.18 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f242(c34,A) != f241(c34,A) | subset_complement(the_carrier(c34),f244(c34,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c34),A)) | in(B,f243(c34,A)). [resolve(1381,a,1115,a)]. 14.30/15.18 1382 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | -element(C,powerset(the_carrier(A))) | C != f245(A,B,D) | subset_complement(the_carrier(A),C) = D | -in(D,f243(A,B)). [resolve(941,b,935,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -latt_str(B). [resolve(1382,a,1088,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f242(c34,A) != f241(c34,A) | -element(B,powerset(the_carrier(c34))) | B != f245(c34,A,C) | subset_complement(the_carrier(c34),B) = C | -in(C,f243(c34,A)). [resolve(1382,a,1115,a)]. 14.55/15.44 1383 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f242(A,B) != f241(A,B) | in(f245(A,B,C),complements_of_subsets(the_carrier(A),B)) | -in(C,f243(A,B)). [resolve(941,b,936,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -latt_str(B). [resolve(1383,a,1088,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f242(c34,A) != f241(c34,A) | in(f245(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(B,f243(c34,A)). [resolve(1383,a,1115,a)]. 14.55/15.44 1384 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) = cast_as_carrier_subset(A). [resolve(941,b,937,a)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -latt_str(B). [resolve(1384,a,1088,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -is_a_cover_of_carrier(c34,A) | union_of_subsets(the_carrier(c34),A) = cast_as_carrier_subset(c34). [resolve(1384,a,1115,a)]. 14.55/15.44 1385 -meet_semilatt_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | is_a_cover_of_carrier(A,B) | union_of_subsets(the_carrier(A),B) != cast_as_carrier_subset(A). [resolve(941,b,938,a)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -latt_str(B). [resolve(1385,a,1088,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | is_a_cover_of_carrier(c34,A) | union_of_subsets(the_carrier(c34),A) != cast_as_carrier_subset(c34). [resolve(1385,a,1115,a)]. 14.55/15.44 1386 -meet_semilatt_str(A) | empty_carrier_subset(A) = empty_set. [resolve(941,b,939,a)]. 14.55/15.44 Derived: empty_carrier_subset(A) = empty_set | -latt_str(A). [resolve(1386,a,1088,b)]. 14.55/15.44 Derived: empty_carrier_subset(c34) = empty_set. [resolve(1386,a,1115,a)]. 14.55/15.44 1387 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(943,a,941,b)]. 14.55/15.44 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(1387,e,1088,b)]. 14.55/15.44 Derived: empty_carrier(c34) | -element(A,powerset(powerset(the_carrier(c34)))) | -is_a_cover_of_carrier(c34,A) | empty_set != A. [resolve(1387,e,1115,a)]. 14.55/15.44 1388 -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -meet_semilatt_str(B). [resolve(944,a,941,b)]. 14.55/15.44 Derived: -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -latt_str(B). [resolve(1388,c,1088,b)]. 14.55/15.44 Derived: -element(A,powerset(the_carrier(c34))) | subset_intersection2(the_carrier(c34),A,cast_as_carrier_subset(c34)) = A. [resolve(1388,c,1115,a)]. 14.55/15.44 1389 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -meet_semilatt_str(B). [resolve(945,a,941,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -latt_str(B). [resolve(1389,e,1088,b)]. 14.55/15.44 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | -in(ordered_pair(B,C),f333(c34,A)) | in(B,A). [resolve(1389,e,1115,a)]. 14.55/15.44 1390 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(946,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1390,g,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | -in(ordered_pair(B,C),f333(c34,A)) | -element(D,powerset(the_carrier(c34))) | D != B | subset_complement(the_carrier(c34),D) = C. [resolve(1390,g,1115,a)]. 14.60/15.48 1391 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(947,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1391,f,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | in(ordered_pair(B,C),f333(c34,A)) | -in(B,A) | element(f334(c34,A,B,C),powerset(the_carrier(c34))). [resolve(1391,f,1115,a)]. 14.60/15.48 1392 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(948,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -latt_str(B). [resolve(1392,f,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | in(ordered_pair(B,C),f333(c34,A)) | -in(B,A) | f334(c34,A,B,C) = B. [resolve(1392,f,1115,a)]. 14.60/15.48 1393 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(949,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -latt_str(B). [resolve(1393,f,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | in(ordered_pair(B,C),f333(c34,A)) | -in(B,A) | subset_complement(the_carrier(c34),f334(c34,A,B,C)) != C. [resolve(1393,f,1115,a)]. 14.60/15.48 1394 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(950,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -latt_str(B). [resolve(1394,d,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | function(f333(c34,A)). [resolve(1394,d,1115,a)]. 14.60/15.48 1395 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(951,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -latt_str(B). [resolve(1395,d,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f330(c34,A),A) | relation(f333(c34,A)). [resolve(1395,d,1115,a)]. 14.60/15.48 1396 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -meet_semilatt_str(B). [resolve(952,a,941,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -latt_str(B). [resolve(1396,g,1088,b)]. 14.60/15.48 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | -in(ordered_pair(C,D),f333(c34,A)) | in(C,A). [resolve(1396,g,1115,a)]. 14.65/15.52 1397 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(953,a,941,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1397,i,1088,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | -in(ordered_pair(C,D),f333(c34,A)) | -element(E,powerset(the_carrier(c34))) | E != C | subset_complement(the_carrier(c34),E) = D. [resolve(1397,i,1115,a)]. 14.65/15.52 1398 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(954,a,941,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1398,h,1088,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | in(ordered_pair(C,D),f333(c34,A)) | -in(C,A) | element(f334(c34,A,C,D),powerset(the_carrier(c34))). [resolve(1398,h,1115,a)]. 14.65/15.52 1399 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(955,a,941,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -latt_str(B). [resolve(1399,h,1088,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | in(ordered_pair(C,D),f333(c34,A)) | -in(C,A) | f334(c34,A,C,D) = C. [resolve(1399,h,1115,a)]. 14.65/15.52 1400 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(956,a,941,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -latt_str(B). [resolve(1400,h,1088,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | in(ordered_pair(C,D),f333(c34,A)) | -in(C,A) | subset_complement(the_carrier(c34),f334(c34,A,C,D)) != D. [resolve(1400,h,1115,a)]. 14.65/15.52 1401 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(957,a,941,b)]. 14.65/15.52 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -latt_str(B). [resolve(1401,f,1088,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | function(f333(c34,A)). [resolve(1401,f,1115,a)]. 14.70/15.56 1402 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(958,a,941,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -latt_str(B). [resolve(1402,f,1088,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f331(c34,A) | relation(f333(c34,A)). [resolve(1402,f,1115,a)]. 14.70/15.56 1403 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -meet_semilatt_str(B). [resolve(959,a,941,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -latt_str(B). [resolve(1403,g,1088,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | -in(ordered_pair(C,D),f333(c34,A)) | in(C,A). [resolve(1403,g,1115,a)]. 14.70/15.56 1404 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(960,a,941,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1404,i,1088,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | -in(ordered_pair(C,D),f333(c34,A)) | -element(E,powerset(the_carrier(c34))) | E != C | subset_complement(the_carrier(c34),E) = D. [resolve(1404,i,1115,a)]. 14.70/15.56 1405 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(961,a,941,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1405,h,1088,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | in(ordered_pair(C,D),f333(c34,A)) | -in(C,A) | element(f334(c34,A,C,D),powerset(the_carrier(c34))). [resolve(1405,h,1115,a)]. 14.70/15.56 1406 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(962,a,941,b)]. 14.70/15.56 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -latt_str(B). [resolve(1406,h,1088,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | in(ordered_pair(C,D),f333(c34,A)) | -in(C,A) | f334(c34,A,C,D) = C. [resolve(1406,h,1115,a)]. 14.70/15.60 1407 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(963,a,941,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -latt_str(B). [resolve(1407,h,1088,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | in(ordered_pair(C,D),f333(c34,A)) | -in(C,A) | subset_complement(the_carrier(c34),f334(c34,A,C,D)) != D. [resolve(1407,h,1115,a)]. 14.70/15.60 1408 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(964,a,941,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -latt_str(B). [resolve(1408,f,1088,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | function(f333(c34,A)). [resolve(1408,f,1115,a)]. 14.70/15.60 1409 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(965,a,941,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -latt_str(B). [resolve(1409,f,1088,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f330(c34,A) | subset_complement(the_carrier(c34),B) = f332(c34,A) | relation(f333(c34,A)). [resolve(1409,f,1115,a)]. 14.70/15.60 1410 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -meet_semilatt_str(B). [resolve(966,a,941,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -latt_str(B). [resolve(1410,e,1088,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | -in(ordered_pair(B,C),f333(c34,A)) | in(B,A). [resolve(1410,e,1115,a)]. 14.70/15.60 1411 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(967,a,941,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1411,g,1088,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | -in(ordered_pair(B,C),f333(c34,A)) | -element(D,powerset(the_carrier(c34))) | D != B | subset_complement(the_carrier(c34),D) = C. [resolve(1411,g,1115,a)]. 14.70/15.60 1412 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(968,a,941,b)]. 14.70/15.60 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1412,f,1088,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | in(ordered_pair(B,C),f333(c34,A)) | -in(B,A) | element(f334(c34,A,B,C),powerset(the_carrier(c34))). [resolve(1412,f,1115,a)]. 14.80/15.65 1413 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(969,a,941,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -latt_str(B). [resolve(1413,f,1088,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | in(ordered_pair(B,C),f333(c34,A)) | -in(B,A) | f334(c34,A,B,C) = B. [resolve(1413,f,1115,a)]. 14.80/15.65 1414 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(970,a,941,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -latt_str(B). [resolve(1414,f,1088,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | in(ordered_pair(B,C),f333(c34,A)) | -in(B,A) | subset_complement(the_carrier(c34),f334(c34,A,B,C)) != C. [resolve(1414,f,1115,a)]. 14.80/15.65 1415 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -meet_semilatt_str(B). [resolve(971,a,941,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -latt_str(B). [resolve(1415,d,1088,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | function(f333(c34,A)). [resolve(1415,d,1115,a)]. 14.80/15.65 1416 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -meet_semilatt_str(B). [resolve(972,a,941,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -latt_str(B). [resolve(1416,d,1088,b)]. 14.80/15.65 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f332(c34,A) != f331(c34,A) | relation(f333(c34,A)). [resolve(1416,d,1115,a)]. 14.80/15.65 1417 v5_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(973,a,941,b)]. 14.80/15.65 Derived: v5_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1417,b,1088,b)]. 14.80/15.65 Derived: v5_membered(empty_carrier_subset(c34)). [resolve(1417,b,1115,a)]. 14.80/15.65 1418 v4_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(974,a,941,b)]. 14.80/15.65 Derived: v4_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1418,b,1088,b)]. 14.80/15.65 Derived: v4_membered(empty_carrier_subset(c34)). [resolve(1418,b,1115,a)]. 14.80/15.65 1419 v3_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(975,a,941,b)]. 14.80/15.65 Derived: v3_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1419,b,1088,b)]. 14.80/15.65 Derived: v3_membered(empty_carrier_subset(c34)). [resolve(1419,b,1115,a)]. 14.80/15.65 1420 v2_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(976,a,941,b)]. 14.80/15.65 Derived: v2_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1420,b,1088,b)]. 14.80/15.65 Derived: v2_membered(empty_carrier_subset(c34)). [resolve(1420,b,1115,a)]. 14.80/15.65 1421 v1_membered(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(977,a,941,b)]. 14.80/15.65 Derived: v1_membered(empty_carrier_subset(A)) | -latt_str(A). [resolve(1421,b,1088,b)]. 14.80/15.65 Derived: v1_membered(empty_carrier_subset(c34)). [resolve(1421,b,1115,a)]. 14.80/15.65 1422 empty(empty_carrier_subset(A)) | -meet_semilatt_str(A). [resolve(978,a,941,b)]. 14.80/15.65 Derived: empty(empty_carrier_subset(A)) | -latt_str(A). [resolve(1422,b,1088,b)]. 14.80/15.65 Derived: empty(empty_carrier_subset(c34)). [resolve(1422,b,1115,a)]. 14.80/15.65 1423 empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -meet_semilatt_str(A). [resolve(979,b,941,b)]. 14.80/15.70 Derived: empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -latt_str(A). [resolve(1423,d,1088,b)]. 14.80/15.70 Derived: empty_carrier(c34) | -element(A,the_carrier(c34)) | apply_as_element(the_carrier(c34),the_carrier(c34),identity_on_carrier(c34),A) = A. [resolve(1423,d,1115,a)]. 14.80/15.70 1424 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) | -meet_semilatt_str(A). [resolve(980,b,941,b)]. 14.80/15.70 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(1424,f,1088,b)]. 14.80/15.70 Derived: empty_carrier(c34) | -element(A,powerset(the_carrier(c34))) | -element(B,the_carrier(c34)) | -in(B,subset_complement(the_carrier(c34),A)) | -in(B,A). [resolve(1424,f,1115,a)]. 14.80/15.70 1425 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) | -meet_semilatt_str(A). [resolve(981,b,941,b)]. 14.80/15.70 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(1425,f,1088,b)]. 14.80/15.70 Derived: empty_carrier(c34) | -element(A,powerset(the_carrier(c34))) | -element(B,the_carrier(c34)) | in(B,subset_complement(the_carrier(c34),A)) | in(B,A). [resolve(1425,f,1115,a)]. 14.80/15.70 1426 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(983,a,941,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1426,e,1088,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1426,e,1115,a)]. 14.80/15.70 1427 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(984,a,941,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1427,g,1088,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1427,g,1115,a)]. 14.80/15.70 1428 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(985,a,941,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1428,e,1088,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1428,e,1115,a)]. 14.80/15.70 1429 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(986,a,941,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1429,e,1088,b)]. 14.80/15.70 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1429,e,1115,a)]. 14.80/15.70 1430 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(987,a,941,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1430,e,1088,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1430,e,1115,a)]. 14.87/15.73 1431 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(988,a,941,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1431,i,1088,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1431,i,1115,a)]. 14.87/15.73 1432 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(989,a,941,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1432,i,1088,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1432,i,1115,a)]. 14.87/15.73 1433 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(990,a,941,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1433,i,1088,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f380(c34,A,B) = f379(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1433,i,1115,a)]. 14.87/15.73 1434 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(991,a,941,b)]. 14.87/15.73 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1434,e,1088,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1434,e,1115,a)]. 14.92/15.78 1435 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(992,a,941,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1435,g,1088,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1435,g,1115,a)]. 14.92/15.78 1436 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(993,a,941,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1436,e,1088,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1436,e,1115,a)]. 14.92/15.78 1437 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(994,a,941,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1437,e,1088,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1437,e,1115,a)]. 14.92/15.78 1438 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(995,a,941,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1438,e,1088,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1438,e,1115,a)]. 14.92/15.78 1439 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(996,a,941,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1439,i,1088,b)]. 14.92/15.78 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1439,i,1115,a)]. 14.92/15.78 1440 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(997,a,941,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1440,i,1088,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1440,i,1115,a)]. 14.95/15.81 1441 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(998,a,941,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1441,i,1088,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) = f379(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1441,i,1115,a)]. 14.95/15.81 1442 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(999,a,941,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1442,e,1088,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1442,e,1115,a)]. 14.95/15.81 1443 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1000,a,941,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1443,g,1088,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1443,g,1115,a)]. 14.95/15.81 1444 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1001,a,941,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1444,e,1088,b)]. 14.95/15.81 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1444,e,1115,a)]. 14.98/15.85 1445 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1002,a,941,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1445,e,1088,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1445,e,1115,a)]. 14.98/15.85 1446 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1003,a,941,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1446,e,1088,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1446,e,1115,a)]. 14.98/15.85 1447 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1004,a,941,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1447,i,1088,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1447,i,1115,a)]. 14.98/15.85 1448 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1005,a,941,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1448,i,1088,b)]. 14.98/15.85 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1448,i,1115,a)]. 14.98/15.85 1449 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1006,a,941,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1449,i,1088,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f382(c34,A,B),f383(c34,A,B)) = f381(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1449,i,1115,a)]. 14.98/15.89 1450 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1007,a,941,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1450,g,1088,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | -in(D,f386(c34,A,C)) | in(f388(c34,A,C,D),complements_of_subsets(the_carrier(c34),A)). [resolve(1450,g,1115,a)]. 14.98/15.89 1451 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -meet_semilatt_str(B). [resolve(1008,a,941,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -latt_str(B). [resolve(1451,i,1088,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | -in(D,f386(c34,A,C)) | -element(E,powerset(the_carrier(c34))) | E != f388(c34,A,C,D) | subset_complement(the_carrier(c34),E) = f389(c34,A,C,D). [resolve(1451,i,1115,a)]. 14.98/15.89 1452 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -meet_semilatt_str(B). [resolve(1009,a,941,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -latt_str(B). [resolve(1452,g,1088,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | -in(D,f386(c34,A,C)) | ordered_pair(f388(c34,A,C,D),f389(c34,A,C,D)) = D. [resolve(1452,g,1115,a)]. 14.98/15.89 1453 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -meet_semilatt_str(B). [resolve(1010,a,941,b)]. 14.98/15.89 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -latt_str(B). [resolve(1453,g,1088,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | -in(D,f386(c34,A,C)) | f387(c34,A,C,D) = D. [resolve(1453,g,1115,a)]. 14.98/15.92 1454 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1011,a,941,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1454,g,1088,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | -in(D,f386(c34,A,C)) | in(f387(c34,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1454,g,1115,a)]. 14.98/15.92 1455 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1012,a,941,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1455,k,1088,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | in(D,f386(c34,A,C)) | -in(E,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,C,D,F,E,V6),powerset(the_carrier(c34))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1455,k,1115,a)]. 14.98/15.92 1456 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1013,a,941,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1456,k,1088,b)]. 14.98/15.92 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | in(D,f386(c34,A,C)) | -in(E,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1456,k,1115,a)]. 14.98/15.92 1457 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1014,a,941,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1457,k,1088,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | f382(c34,A,C) != B | subset_complement(the_carrier(c34),B) = f383(c34,A,C) | in(D,f386(c34,A,C)) | -in(E,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1457,k,1115,a)]. 15.08/15.96 1458 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1015,a,941,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1458,e,1088,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1458,e,1115,a)]. 15.08/15.96 1459 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1016,a,941,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1459,g,1088,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1459,g,1115,a)]. 15.08/15.96 1460 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1017,a,941,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1460,e,1088,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1460,e,1115,a)]. 15.08/15.96 1461 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1018,a,941,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1461,e,1088,b)]. 15.08/15.96 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1461,e,1115,a)]. 15.08/15.96 1462 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1019,a,941,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1462,e,1088,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1462,e,1115,a)]. 15.08/15.99 1463 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1020,a,941,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1463,i,1088,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1463,i,1115,a)]. 15.08/15.99 1464 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1021,a,941,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1464,i,1088,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1464,i,1115,a)]. 15.08/15.99 1465 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1022,a,941,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1465,i,1088,b)]. 15.08/15.99 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f382(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1465,i,1115,a)]. 15.16/16.03 1466 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1023,a,941,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1466,e,1088,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1466,e,1115,a)]. 15.16/16.03 1467 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1024,a,941,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1467,g,1088,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1467,g,1115,a)]. 15.16/16.03 1468 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1025,a,941,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1468,e,1088,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1468,e,1115,a)]. 15.16/16.03 1469 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1026,a,941,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1469,e,1088,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1469,e,1115,a)]. 15.16/16.03 1470 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1027,a,941,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1470,e,1088,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1470,e,1115,a)]. 15.16/16.03 1471 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1028,a,941,b)]. 15.16/16.03 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1471,i,1088,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1471,i,1115,a)]. 15.23/16.07 1472 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1029,a,941,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1472,i,1088,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1472,i,1115,a)]. 15.23/16.07 1473 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1030,a,941,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1473,i,1088,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | ordered_pair(f384(c34,A,B),f385(c34,A,B)) = f380(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1473,i,1115,a)]. 15.23/16.07 1474 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1031,a,941,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1474,g,1088,b)]. 15.23/16.07 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | -in(D,f386(c34,A,C)) | in(f388(c34,A,C,D),complements_of_subsets(the_carrier(c34),A)). [resolve(1474,g,1115,a)]. 15.23/16.07 1475 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -meet_semilatt_str(B). [resolve(1032,a,941,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -latt_str(B). [resolve(1475,i,1088,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | -in(D,f386(c34,A,C)) | -element(E,powerset(the_carrier(c34))) | E != f388(c34,A,C,D) | subset_complement(the_carrier(c34),E) = f389(c34,A,C,D). [resolve(1475,i,1115,a)]. 15.26/16.10 1476 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -meet_semilatt_str(B). [resolve(1033,a,941,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -latt_str(B). [resolve(1476,g,1088,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | -in(D,f386(c34,A,C)) | ordered_pair(f388(c34,A,C,D),f389(c34,A,C,D)) = D. [resolve(1476,g,1115,a)]. 15.26/16.10 1477 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -meet_semilatt_str(B). [resolve(1034,a,941,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -latt_str(B). [resolve(1477,g,1088,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | -in(D,f386(c34,A,C)) | f387(c34,A,C,D) = D. [resolve(1477,g,1115,a)]. 15.26/16.10 1478 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1035,a,941,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1478,g,1088,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | -in(D,f386(c34,A,C)) | in(f387(c34,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1478,g,1115,a)]. 15.26/16.10 1479 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1036,a,941,b)]. 15.26/16.10 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1479,k,1088,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | in(D,f386(c34,A,C)) | -in(E,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,C,D,F,E,V6),powerset(the_carrier(c34))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1479,k,1115,a)]. 15.29/16.14 1480 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1037,a,941,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1480,k,1088,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | in(D,f386(c34,A,C)) | -in(E,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1480,k,1115,a)]. 15.29/16.14 1481 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -meet_semilatt_str(B). [resolve(1038,a,941,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -latt_str(B). [resolve(1481,k,1088,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f384(c34,A,C) | subset_complement(the_carrier(c34),B) = f385(c34,A,C) | in(D,f386(c34,A,C)) | -in(E,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c34),A),C)). [resolve(1481,k,1115,a)]. 15.29/16.14 1482 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1039,a,941,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1482,e,1088,b)]. 15.29/16.14 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1482,e,1115,a)]. 15.29/16.14 1483 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1040,a,941,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1483,g,1088,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1483,g,1115,a)]. 15.29/16.17 1484 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1041,a,941,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1484,e,1088,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1484,e,1115,a)]. 15.29/16.17 1485 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1042,a,941,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1485,e,1088,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1485,e,1115,a)]. 15.29/16.17 1486 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1043,a,941,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1486,e,1088,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1486,e,1115,a)]. 15.29/16.17 1487 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1044,a,941,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1487,i,1088,b)]. 15.29/16.17 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1487,i,1115,a)]. 15.29/16.17 1488 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1045,a,941,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1488,i,1088,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1488,i,1115,a)]. 15.29/16.20 1489 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1046,a,941,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1489,i,1088,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f384(c34,A,B),complements_of_subsets(the_carrier(c34),A)) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1489,i,1115,a)]. 15.29/16.20 1490 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1047,a,941,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1490,e,1088,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | -in(C,f386(c34,A,B)) | in(f388(c34,A,B,C),complements_of_subsets(the_carrier(c34),A)). [resolve(1490,e,1115,a)]. 15.29/16.20 1491 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -meet_semilatt_str(B). [resolve(1048,a,941,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -latt_str(B). [resolve(1491,g,1088,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | -in(C,f386(c34,A,B)) | -element(D,powerset(the_carrier(c34))) | D != f388(c34,A,B,C) | subset_complement(the_carrier(c34),D) = f389(c34,A,B,C). [resolve(1491,g,1115,a)]. 15.29/16.20 1492 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -meet_semilatt_str(B). [resolve(1049,a,941,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -latt_str(B). [resolve(1492,e,1088,b)]. 15.29/16.20 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | -in(C,f386(c34,A,B)) | ordered_pair(f388(c34,A,B,C),f389(c34,A,B,C)) = C. [resolve(1492,e,1115,a)]. 15.29/16.24 1493 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -meet_semilatt_str(B). [resolve(1050,a,941,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -latt_str(B). [resolve(1493,e,1088,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | -in(C,f386(c34,A,B)) | f387(c34,A,B,C) = C. [resolve(1493,e,1115,a)]. 15.29/16.24 1494 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1051,a,941,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1494,e,1088,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | -in(C,f386(c34,A,B)) | in(f387(c34,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1494,e,1115,a)]. 15.29/16.24 1495 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1052,a,941,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1495,i,1088,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | element(f390(c34,A,B,C,E,D,F),powerset(the_carrier(c34))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1495,i,1115,a)]. 15.29/16.24 1496 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1053,a,941,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1496,i,1088,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | f390(c34,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1496,i,1115,a)]. 15.29/16.24 1497 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -meet_semilatt_str(B). [resolve(1054,a,941,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -latt_str(B). [resolve(1497,i,1088,b)]. 15.29/16.24 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f381(c34,A,B) != f380(c34,A,B) | in(C,f386(c34,A,B)) | -in(D,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f390(c34,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c34),A),B)). [resolve(1497,i,1115,a)]. 15.41/16.27 1498 quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -meet_semilatt_str(A). [resolve(1055,a,941,b)]. 15.41/16.27 Derived: quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -latt_str(A). [resolve(1498,b,1088,b)]. 15.41/16.27 Derived: quasi_total(identity_on_carrier(c34),the_carrier(c34),the_carrier(c34)). [resolve(1498,b,1115,a)]. 15.41/16.27 1499 relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -meet_semilatt_str(A). [resolve(1056,a,941,b)]. 15.41/16.27 Derived: relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -latt_str(A). [resolve(1499,b,1088,b)]. 15.41/16.27 Derived: relation_of2_as_subset(identity_on_carrier(c34),the_carrier(c34),the_carrier(c34)). [resolve(1499,b,1115,a)]. 15.41/16.27 1500 function(identity_on_carrier(A)) | -meet_semilatt_str(A). [resolve(1057,a,941,b)]. 15.41/16.27 Derived: function(identity_on_carrier(A)) | -latt_str(A). [resolve(1500,b,1088,b)]. 15.41/16.27 Derived: function(identity_on_carrier(c34)). [resolve(1500,b,1115,a)]. 15.41/16.27 1501 -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(1058,a,941,b)]. 15.41/16.27 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(1501,c,1088,b)]. 15.41/16.27 Derived: -element(A,powerset(the_carrier(c34))) | subset_difference(the_carrier(c34),cast_as_carrier_subset(c34),subset_difference(the_carrier(c34),cast_as_carrier_subset(c34),A)) = A. [resolve(1501,c,1115,a)]. 15.41/16.27 1502 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1059,a,941,b)]. 15.41/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1502,e,1088,b)]. 15.41/16.27 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | -in(ordered_pair(B,C),f402(c34,A)) | in(B,complements_of_subsets(the_carrier(c34),A)). [resolve(1502,e,1115,a)]. 15.41/16.27 1503 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(1060,a,941,b)]. 15.41/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1503,g,1088,b)]. 15.41/16.27 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | -in(ordered_pair(B,C),f402(c34,A)) | -element(D,powerset(the_carrier(c34))) | D != B | subset_complement(the_carrier(c34),D) = C. [resolve(1503,g,1115,a)]. 15.41/16.27 1504 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1061,a,941,b)]. 15.41/16.27 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1504,f,1088,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(ordered_pair(B,C),f402(c34,A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | element(f403(c34,A,B,C),powerset(the_carrier(c34))). [resolve(1504,f,1115,a)]. 15.41/16.30 1505 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(1062,a,941,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -latt_str(B). [resolve(1505,f,1088,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(ordered_pair(B,C),f402(c34,A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | f403(c34,A,B,C) = B. [resolve(1505,f,1115,a)]. 15.41/16.30 1506 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(1063,a,941,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -latt_str(B). [resolve(1506,f,1088,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | in(ordered_pair(B,C),f402(c34,A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f403(c34,A,B,C)) != C. [resolve(1506,f,1115,a)]. 15.41/16.30 1507 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1064,a,941,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -latt_str(B). [resolve(1507,d,1088,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | function(f402(c34,A)). [resolve(1507,d,1115,a)]. 15.41/16.30 1508 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1065,a,941,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -latt_str(B). [resolve(1508,d,1088,b)]. 15.41/16.30 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | in(f399(c34,A),complements_of_subsets(the_carrier(c34),A)) | relation(f402(c34,A)). [resolve(1508,d,1115,a)]. 15.41/16.30 1509 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1066,a,941,b)]. 15.41/16.31 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1509,g,1088,b)]. 15.41/16.31 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | -in(ordered_pair(C,D),f402(c34,A)) | in(C,complements_of_subsets(the_carrier(c34),A)). [resolve(1509,g,1115,a)]. 15.41/16.31 1510 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(1067,a,941,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1510,i,1088,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | -in(ordered_pair(C,D),f402(c34,A)) | -element(E,powerset(the_carrier(c34))) | E != C | subset_complement(the_carrier(c34),E) = D. [resolve(1510,i,1115,a)]. 15.48/16.34 1511 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1068,a,941,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1511,h,1088,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | in(ordered_pair(C,D),f402(c34,A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | element(f403(c34,A,C,D),powerset(the_carrier(c34))). [resolve(1511,h,1115,a)]. 15.48/16.34 1512 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(1069,a,941,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -latt_str(B). [resolve(1512,h,1088,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | in(ordered_pair(C,D),f402(c34,A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | f403(c34,A,C,D) = C. [resolve(1512,h,1115,a)]. 15.48/16.34 1513 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(1070,a,941,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -latt_str(B). [resolve(1513,h,1088,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | in(ordered_pair(C,D),f402(c34,A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f403(c34,A,C,D)) != D. [resolve(1513,h,1115,a)]. 15.48/16.34 1514 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1071,a,941,b)]. 15.48/16.34 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -latt_str(B). [resolve(1514,f,1088,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | function(f402(c34,A)). [resolve(1514,f,1115,a)]. 15.48/16.38 1515 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1072,a,941,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -latt_str(B). [resolve(1515,f,1088,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f401(c34,A) | relation(f402(c34,A)). [resolve(1515,f,1115,a)]. 15.48/16.38 1516 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1073,a,941,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1516,g,1088,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | -in(ordered_pair(C,D),f402(c34,A)) | in(C,complements_of_subsets(the_carrier(c34),A)). [resolve(1516,g,1115,a)]. 15.48/16.38 1517 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -meet_semilatt_str(B). [resolve(1074,a,941,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -latt_str(B). [resolve(1517,i,1088,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | -in(ordered_pair(C,D),f402(c34,A)) | -element(E,powerset(the_carrier(c34))) | E != C | subset_complement(the_carrier(c34),E) = D. [resolve(1517,i,1115,a)]. 15.48/16.38 1518 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1075,a,941,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -latt_str(B). [resolve(1518,h,1088,b)]. 15.48/16.38 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | in(ordered_pair(C,D),f402(c34,A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | element(f403(c34,A,C,D),powerset(the_carrier(c34))). [resolve(1518,h,1115,a)]. 15.48/16.38 1519 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -meet_semilatt_str(B). [resolve(1076,a,941,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -latt_str(B). [resolve(1519,h,1088,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | in(ordered_pair(C,D),f402(c34,A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | f403(c34,A,C,D) = C. [resolve(1519,h,1115,a)]. 15.56/16.41 1520 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -meet_semilatt_str(B). [resolve(1077,a,941,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -latt_str(B). [resolve(1520,h,1088,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | in(ordered_pair(C,D),f402(c34,A)) | -in(C,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f403(c34,A,C,D)) != D. [resolve(1520,h,1115,a)]. 15.56/16.41 1521 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1078,a,941,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -latt_str(B). [resolve(1521,f,1088,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | function(f402(c34,A)). [resolve(1521,f,1115,a)]. 15.56/16.41 1522 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1079,a,941,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -latt_str(B). [resolve(1522,f,1088,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | -element(B,powerset(the_carrier(c34))) | B != f399(c34,A) | subset_complement(the_carrier(c34),B) = f400(c34,A) | relation(f402(c34,A)). [resolve(1522,f,1115,a)]. 15.56/16.41 1523 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -meet_semilatt_str(B). [resolve(1080,a,941,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -latt_str(B). [resolve(1523,e,1088,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | -in(ordered_pair(B,C),f402(c34,A)) | in(B,complements_of_subsets(the_carrier(c34),A)). [resolve(1523,e,1115,a)]. 15.56/16.41 1524 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -meet_semilatt_str(B). [resolve(1081,a,941,b)]. 15.56/16.41 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -latt_str(B). [resolve(1524,g,1088,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | -in(ordered_pair(B,C),f402(c34,A)) | -element(D,powerset(the_carrier(c34))) | D != B | subset_complement(the_carrier(c34),D) = C. [resolve(1524,g,1115,a)]. 16.83/17.72 1525 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -meet_semilatt_str(B). [resolve(1082,a,941,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -latt_str(B). [resolve(1525,f,1088,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | in(ordered_pair(B,C),f402(c34,A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | element(f403(c34,A,B,C),powerset(the_carrier(c34))). [resolve(1525,f,1115,a)]. 16.83/17.72 1526 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -meet_semilatt_str(B). [resolve(1083,a,941,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -latt_str(B). [resolve(1526,f,1088,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | in(ordered_pair(B,C),f402(c34,A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | f403(c34,A,B,C) = B. [resolve(1526,f,1115,a)]. 16.83/17.72 1527 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -meet_semilatt_str(B). [resolve(1084,a,941,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -latt_str(B). [resolve(1527,f,1088,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | in(ordered_pair(B,C),f402(c34,A)) | -in(B,complements_of_subsets(the_carrier(c34),A)) | subset_complement(the_carrier(c34),f403(c34,A,B,C)) != C. [resolve(1527,f,1115,a)]. 16.83/17.72 1528 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -meet_semilatt_str(B). [resolve(1085,a,941,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -latt_str(B). [resolve(1528,d,1088,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | function(f402(c34,A)). [resolve(1528,d,1115,a)]. 16.83/17.72 1529 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -meet_semilatt_str(B). [resolve(1086,a,941,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -latt_str(B). [resolve(1529,d,1088,b)]. 16.83/17.72 Derived: -element(A,powerset(powerset(the_carrier(c34)))) | f401(c34,A) != f400(c34,A) | relation(f402(c34,A)). [resolve(1529,d,1115,a)]. 16.83/17.72 1530 -in(A,B) | subset(A,B) | -epsilon_transitive(B) # label(d2_ordinal1) # label(axiom). [clausify(247)]. 16.83/17.72 1531 -element(A,omega) | epsilon_transitive(A) # label(cc3_arytm_3) # label(axiom). [clausify(15)]. 16.83/17.72 1532 -ordinal(A) | epsilon_transitive(succ(A)) # label(fc3_ordinal1) # label(axiom). [clausify(46)]. 16.83/17.72 1533 epsilon_transitive(c7) # label(rc1_ordinal2) # label(axiom). [clausify(162)]. 16.83/17.72 1534 epsilon_transitive(f84(A)) # label(rc2_finset_1) # label(axiom). [clausify(174)]. 18.07/18.91 1535 in(f145(A),A) | epsilon_transitive(A) # label(d2_ordinal1) # label(axiom). [clausify(247)]. 18.07/18.91 1536 -subset(f145(A),A) | epsilon_transitive(A) # label(d2_ordinal1) # label(axiom). [clausify(247)]. 18.07/18.91 Derived: -in(A,B) | subset(A,B) | -element(B,omega). [resolve(1530,c,1531,b)]. 18.07/18.91 Derived: -in(A,succ(B)) | subset(A,succ(B)) | -ordinal(B). [resolve(1530,c,1532,b)]. 18.07/18.91 Derived: -in(A,c7) | subset(A,c7). [resolve(1530,c,1533,a)]. 18.07/18.91 Derived: -in(A,f84(B)) | subset(A,f84(B)). [resolve(1530,c,1534,a)]. 18.07/18.91 Derived: -in(A,B) | subset(A,B) | in(f145(B),B). [resolve(1530,c,1535,b)]. 18.07/18.91 Derived: -in(A,B) | subset(A,B) | -subset(f145(B),B). [resolve(1530,c,1536,b)]. 18.07/18.91 1537 epsilon_transitive(c14) # label(rc2_ordinal1) # label(axiom). [clausify(265)]. 18.07/18.91 Derived: -in(A,c14) | subset(A,c14). [resolve(1537,a,1530,c)]. 18.07/18.91 1538 epsilon_transitive(c18) # label(rc3_ordinal1) # label(axiom). [clausify(334)]. 18.07/18.91 Derived: -in(A,c18) | subset(A,c18). [resolve(1538,a,1530,c)]. 18.07/18.91 1539 epsilon_transitive(c19) # label(rc1_ordinal1) # label(axiom). [clausify(341)]. 18.07/18.91 Derived: -in(A,c19) | subset(A,c19). [resolve(1539,a,1530,c)]. 18.07/18.91 1540 -ordinal(A) | -empty(A) | epsilon_transitive(A) # label(cc2_arytm_3) # label(axiom). [clausify(388)]. 18.07/18.91 Derived: -ordinal(A) | -empty(A) | -in(B,A) | subset(B,A). [resolve(1540,c,1530,c)]. 18.07/18.91 1541 epsilon_transitive(omega) # label(fc1_ordinal2_AndRHS_AndRHS_AndRHS) # label(axiom). [assumption]. 18.07/18.91 Derived: -in(A,omega) | subset(A,omega). [resolve(1541,a,1530,c)]. 18.07/18.91 1542 -epsilon_connected(A) | -epsilon_transitive(A) | ordinal(A) # label(cc2_ordinal1) # label(axiom). [clausify(465)]. 18.07/18.91 Derived: -epsilon_connected(A) | ordinal(A) | -element(A,omega). [resolve(1542,b,1531,b)]. 18.07/18.91 Derived: -epsilon_connected(succ(A)) | ordinal(succ(A)) | -ordinal(A). [resolve(1542,b,1532,b)]. 18.07/18.91 Derived: -epsilon_connected(c7) | ordinal(c7). [resolve(1542,b,1533,a)]. 18.07/18.91 Derived: -epsilon_connected(f84(A)) | ordinal(f84(A)). [resolve(1542,b,1534,a)]. 18.07/18.91 Derived: -epsilon_connected(A) | ordinal(A) | in(f145(A),A). [resolve(1542,b,1535,b)]. 18.07/18.91 Derived: -epsilon_connected(A) | ordinal(A) | -subset(f145(A),A). [resolve(1542,b,1536,b)]. 18.07/18.91 Derived: -epsilon_connected(c14) | ordinal(c14). [resolve(1542,b,1537,a)]. 18.07/18.91 Derived: -epsilon_connected(c18) | ordinal(c18). [resolve(1542,b,1538,a)]. 18.07/18.91 Derived: -epsilon_connected(c19) | ordinal(c19). [resolve(1542,b,1539,a)]. 18.07/18.91 Derived: -epsilon_connected(omega) | ordinal(omega). [resolve(1542,b,1541,a)]. 18.07/18.91 1543 epsilon_transitive(c33) # label(rc1_arytm_3) # label(axiom). [clausify(526)]. 18.07/18.91 Derived: -in(A,c33) | subset(A,c33). [resolve(1543,a,1530,c)]. 18.07/18.91 Derived: -epsilon_connected(c33) | ordinal(c33). [resolve(1543,a,1542,b)]. 18.07/18.91 1544 -ordinal(A) | -element(B,A) | epsilon_transitive(B) # label(cc1_arytm_3) # label(axiom). [clausify(537)]. 18.07/18.91 Derived: -ordinal(A) | -element(B,A) | -in(C,B) | subset(C,B). [resolve(1544,c,1530,c)]. 18.07/18.91 1545 -epsilon_connected(A) | -epsilon_transitive(A) | ordinal(A) # label(d4_ordinal1) # label(axiom). [clausify(551)]. 18.07/18.91 Derived: -epsilon_connected(A) | ordinal(A) | -ordinal(B) | -element(A,B). [resolve(1545,b,1544,c)]. 18.07/18.91 1546 epsilon_transitive(A) | -ordinal(A) # label(d4_ordinal1) # label(axiom). [clausify(551)]. 18.07/18.91 Derived: -ordinal(A) | -in(B,A) | subset(B,A). [resolve(1546,a,1530,c)]. 18.07/18.91 1547 epsilon_transitive(empty_set) # label(fc2_ordinal1_AndRHS_AndRHS_AndLHS) # label(axiom). [assumption]. 18.07/18.91 Derived: -in(A,empty_set) | subset(A,empty_set). [resolve(1547,a,1530,c)]. 18.07/18.91 1548 -empty(A) | epsilon_transitive(A) # label(cc3_ordinal1) # label(axiom). [clausify(586)]. 18.07/18.91 Derived: -empty(A) | -in(B,A) | subset(B,A). [resolve(1548,b,1530,c)]. 18.07/18.91 Derived: -empty(A) | -epsilon_connected(A) | ordinal(A). [resolve(1548,b,1542,b)]. 18.07/18.91 1549 -epsilon_transitive(A) | -ordinal(B) | -proper_subset(A,B) | in(A,B) # label(t21_ordinal1) # label(lemma). [clausify(591)]. 18.07/18.91 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -element(B,omega). [resolve(1549,a,1531,b)]. 18.07/18.91 Derived: -ordinal(A) | -proper_subset(succ(B),A) | in(succ(B),A) | -ordinal(B). [resolve(1549,a,1532,b)]. 18.07/18.91 Derived: -ordinal(A) | -proper_subset(c7,A) | in(c7,A). [resolve(1549,a,1533,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(f84(B),A) | in(f84(B),A). [resolve(1549,a,1534,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | in(f145(B),B). [resolve(1549,a,1535,b)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -subset(f145(B),B). [resolve(1549,a,1536,b)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(c14,A) | in(c14,A). [resolve(1549,a,1537,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(c18,A) | in(c18,A). [resolve(1549,a,1538,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(c19,A) | in(c19,A). [resolve(1549,a,1539,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -ordinal(B) | -empty(B). [resolve(1549,a,1540,c)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(omega,A) | in(omega,A). [resolve(1549,a,1541,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(c33,A) | in(c33,A). [resolve(1549,a,1543,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -ordinal(C) | -element(B,C). [resolve(1549,a,1544,c)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -ordinal(B). [resolve(1549,a,1546,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(empty_set,A) | in(empty_set,A). [resolve(1549,a,1547,a)]. 22.28/23.11 Derived: -ordinal(A) | -proper_subset(B,A) | in(B,A) | -empty(B). [resolve(1549,a,1548,b)]. 22.28/23.11 1550 -ordinal(A) | -natural(A) | epsilon_transitive(succ(A)) # label(fc2_arytm_3) # label(axiom). [clausify(636)]. 22.28/23.11 1551 -ordinal(A) | epsilon_transitive(A) # label(cc1_ordinal1) # label(axiom). [clausify(642)]. 22.28/23.11 1552 -ordinal(A) | epsilon_transitive(union(A)) # label(fc4_ordinal1) # label(axiom). [clausify(661)]. 22.28/23.11 Derived: -ordinal(A) | -in(B,union(A)) | subset(B,union(A)). [resolve(1552,b,1530,c)]. 22.28/23.11 Derived: -ordinal(A) | -ordinal(B) | -proper_subset(union(A),B) | in(union(A),B). [resolve(1552,b,1549,a)]. 22.28/23.11 1553 -rel_str(A) | relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) # label(dt_u1_orders_2) # label(axiom). [clausify(58)]. 22.28/23.11 1554 -relation_of2(A,B,B) | rel_str(rel_str_of(B,A)) # label(dt_g1_orders_2) # label(axiom). [clausify(18)]. 22.28/23.11 1555 -latt_str(A) | -lattice(A) | empty_carrier(A) | rel_str(poset_of_lattice(A)) # label(dt_k3_lattice3) # label(axiom). [clausify(56)]. 22.28/23.11 Derived: relation_of2_as_subset(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1553,a,1554,b)]. 22.28/23.11 Derived: relation_of2_as_subset(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(1553,a,1555,d)]. 22.28/23.11 1556 rel_str(c5) # label(rc1_orders_2) # label(axiom). [clausify(105)]. 22.28/23.11 Derived: relation_of2_as_subset(the_InternalRel(c5),the_carrier(c5),the_carrier(c5)). [resolve(1556,a,1553,a)]. 22.28/23.11 1557 -rel_str(A) | -element(B,the_carrier(A)) | element(f76(A,C,B),the_carrier(A)) | relstr_element_smaller(A,C,B) # label(d8_lattice3) # label(axiom). [clausify(150)]. 22.28/23.11 Derived: -element(A,the_carrier(rel_str_of(B,C))) | element(f76(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | relstr_element_smaller(rel_str_of(B,C),D,A) | -relation_of2(C,B,B). [resolve(1557,a,1554,b)]. 22.28/23.11 Derived: -element(A,the_carrier(poset_of_lattice(B))) | element(f76(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | relstr_element_smaller(poset_of_lattice(B),C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1557,a,1555,d)]. 22.28/23.11 Derived: -element(A,the_carrier(c5)) | element(f76(c5,B,A),the_carrier(c5)) | relstr_element_smaller(c5,B,A). [resolve(1557,a,1556,a)]. 22.28/23.11 1558 -rel_str(A) | -element(B,the_carrier(A)) | in(f76(A,C,B),C) | relstr_element_smaller(A,C,B) # label(d8_lattice3) # label(axiom). [clausify(150)]. 22.28/23.11 Derived: -element(A,the_carrier(rel_str_of(B,C))) | in(f76(rel_str_of(B,C),D,A),D) | relstr_element_smaller(rel_str_of(B,C),D,A) | -relation_of2(C,B,B). [resolve(1558,a,1554,b)]. 22.28/23.11 Derived: -element(A,the_carrier(poset_of_lattice(B))) | in(f76(poset_of_lattice(B),C,A),C) | relstr_element_smaller(poset_of_lattice(B),C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1558,a,1555,d)]. 22.28/23.11 Derived: -element(A,the_carrier(c5)) | in(f76(c5,B,A),B) | relstr_element_smaller(c5,B,A). [resolve(1558,a,1556,a)]. 22.30/23.14 1559 -rel_str(A) | -element(B,the_carrier(A)) | -related(A,B,f76(A,C,B)) | relstr_element_smaller(A,C,B) # label(d8_lattice3) # label(axiom). [clausify(150)]. 22.30/23.14 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -related(rel_str_of(B,C),A,f76(rel_str_of(B,C),D,A)) | relstr_element_smaller(rel_str_of(B,C),D,A) | -relation_of2(C,B,B). [resolve(1559,a,1554,b)]. 22.30/23.14 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -related(poset_of_lattice(B),A,f76(poset_of_lattice(B),C,A)) | relstr_element_smaller(poset_of_lattice(B),C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1559,a,1555,d)]. 22.30/23.14 Derived: -element(A,the_carrier(c5)) | -related(c5,A,f76(c5,B,A)) | relstr_element_smaller(c5,B,A). [resolve(1559,a,1556,a)]. 22.30/23.14 1560 -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(C,D) | related(A,B,C) | -relstr_element_smaller(A,D,B) # label(d8_lattice3) # label(axiom). [clausify(150)]. 22.30/23.14 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -element(D,the_carrier(rel_str_of(B,C))) | -in(D,E) | related(rel_str_of(B,C),A,D) | -relstr_element_smaller(rel_str_of(B,C),E,A) | -relation_of2(C,B,B). [resolve(1560,a,1554,b)]. 22.30/23.14 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -element(C,the_carrier(poset_of_lattice(B))) | -in(C,D) | related(poset_of_lattice(B),A,C) | -relstr_element_smaller(poset_of_lattice(B),D,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1560,a,1555,d)]. 22.30/23.14 Derived: -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | -in(B,C) | related(c5,A,B) | -relstr_element_smaller(c5,C,A). [resolve(1560,a,1556,a)]. 22.30/23.14 1561 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | element(f91(A,C,B),the_carrier(A)) | element(f92(A,C,B),the_carrier(A)) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.14 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | element(f91(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | element(f92(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1561,a,1554,b)]. 22.30/23.14 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | element(f91(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | element(f92(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1561,a,1555,d)]. 22.30/23.14 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | element(f91(c5,B,A),the_carrier(c5)) | element(f92(c5,B,A),the_carrier(c5)) | ex_sup_of_relstr_set(c5,B). [resolve(1561,a,1556,a)]. 22.30/23.14 1562 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | element(f91(A,C,B),the_carrier(A)) | relstr_set_smaller(A,C,f92(A,C,B)) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.14 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | element(f91(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | relstr_set_smaller(rel_str_of(B,C),D,f92(rel_str_of(B,C),D,A)) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1562,a,1554,b)]. 22.30/23.14 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | element(f91(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | relstr_set_smaller(poset_of_lattice(B),C,f92(poset_of_lattice(B),C,A)) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1562,a,1555,d)]. 22.30/23.14 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | element(f91(c5,B,A),the_carrier(c5)) | relstr_set_smaller(c5,B,f92(c5,B,A)) | ex_sup_of_relstr_set(c5,B). [resolve(1562,a,1556,a)]. 22.30/23.14 1563 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | element(f91(A,C,B),the_carrier(A)) | -element(D,the_carrier(A)) | -relstr_set_smaller(A,C,D) | related(A,f92(A,C,B),D) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.16 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | element(f91(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | -element(E,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,E) | related(rel_str_of(B,C),f92(rel_str_of(B,C),D,A),E) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1563,a,1554,b)]. 22.30/23.16 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | element(f91(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | -element(D,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,D) | related(poset_of_lattice(B),f92(poset_of_lattice(B),C,A),D) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1563,a,1555,d)]. 22.30/23.16 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | element(f91(c5,B,A),the_carrier(c5)) | -element(C,the_carrier(c5)) | -relstr_set_smaller(c5,B,C) | related(c5,f92(c5,B,A),C) | ex_sup_of_relstr_set(c5,B). [resolve(1563,a,1556,a)]. 22.30/23.16 1564 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | element(f91(A,C,B),the_carrier(A)) | f92(A,C,B) != B | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.16 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | element(f91(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | f92(rel_str_of(B,C),D,A) != A | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1564,a,1554,b)]. 22.30/23.16 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | element(f91(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | f92(poset_of_lattice(B),C,A) != A | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1564,a,1555,d)]. 22.30/23.16 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | element(f91(c5,B,A),the_carrier(c5)) | f92(c5,B,A) != A | ex_sup_of_relstr_set(c5,B). [resolve(1564,a,1556,a)]. 22.30/23.16 1565 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | relstr_set_smaller(A,C,f91(A,C,B)) | element(f92(A,C,B),the_carrier(A)) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.16 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | relstr_set_smaller(rel_str_of(B,C),D,f91(rel_str_of(B,C),D,A)) | element(f92(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1565,a,1554,b)]. 22.30/23.16 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | relstr_set_smaller(poset_of_lattice(B),C,f91(poset_of_lattice(B),C,A)) | element(f92(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1565,a,1555,d)]. 22.30/23.16 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | relstr_set_smaller(c5,B,f91(c5,B,A)) | element(f92(c5,B,A),the_carrier(c5)) | ex_sup_of_relstr_set(c5,B). [resolve(1565,a,1556,a)]. 22.30/23.16 1566 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | relstr_set_smaller(A,C,f91(A,C,B)) | relstr_set_smaller(A,C,f92(A,C,B)) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.16 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | relstr_set_smaller(rel_str_of(B,C),D,f91(rel_str_of(B,C),D,A)) | relstr_set_smaller(rel_str_of(B,C),D,f92(rel_str_of(B,C),D,A)) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1566,a,1554,b)]. 22.30/23.16 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | relstr_set_smaller(poset_of_lattice(B),C,f91(poset_of_lattice(B),C,A)) | relstr_set_smaller(poset_of_lattice(B),C,f92(poset_of_lattice(B),C,A)) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1566,a,1555,d)]. 22.30/23.19 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | relstr_set_smaller(c5,B,f91(c5,B,A)) | relstr_set_smaller(c5,B,f92(c5,B,A)) | ex_sup_of_relstr_set(c5,B). [resolve(1566,a,1556,a)]. 22.30/23.19 1567 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | relstr_set_smaller(A,C,f91(A,C,B)) | -element(D,the_carrier(A)) | -relstr_set_smaller(A,C,D) | related(A,f92(A,C,B),D) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.19 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | relstr_set_smaller(rel_str_of(B,C),D,f91(rel_str_of(B,C),D,A)) | -element(E,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,E) | related(rel_str_of(B,C),f92(rel_str_of(B,C),D,A),E) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1567,a,1554,b)]. 22.30/23.19 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | relstr_set_smaller(poset_of_lattice(B),C,f91(poset_of_lattice(B),C,A)) | -element(D,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,D) | related(poset_of_lattice(B),f92(poset_of_lattice(B),C,A),D) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1567,a,1555,d)]. 22.30/23.19 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | relstr_set_smaller(c5,B,f91(c5,B,A)) | -element(C,the_carrier(c5)) | -relstr_set_smaller(c5,B,C) | related(c5,f92(c5,B,A),C) | ex_sup_of_relstr_set(c5,B). [resolve(1567,a,1556,a)]. 22.30/23.19 1568 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | relstr_set_smaller(A,C,f91(A,C,B)) | f92(A,C,B) != B | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.19 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | relstr_set_smaller(rel_str_of(B,C),D,f91(rel_str_of(B,C),D,A)) | f92(rel_str_of(B,C),D,A) != A | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1568,a,1554,b)]. 22.30/23.19 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | relstr_set_smaller(poset_of_lattice(B),C,f91(poset_of_lattice(B),C,A)) | f92(poset_of_lattice(B),C,A) != A | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1568,a,1555,d)]. 22.30/23.19 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | relstr_set_smaller(c5,B,f91(c5,B,A)) | f92(c5,B,A) != A | ex_sup_of_relstr_set(c5,B). [resolve(1568,a,1556,a)]. 22.30/23.19 1569 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | -related(A,B,f91(A,C,B)) | element(f92(A,C,B),the_carrier(A)) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.19 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | -related(rel_str_of(B,C),A,f91(rel_str_of(B,C),D,A)) | element(f92(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1569,a,1554,b)]. 22.30/23.19 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | -related(poset_of_lattice(B),A,f91(poset_of_lattice(B),C,A)) | element(f92(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1569,a,1555,d)]. 22.30/23.19 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | -related(c5,A,f91(c5,B,A)) | element(f92(c5,B,A),the_carrier(c5)) | ex_sup_of_relstr_set(c5,B). [resolve(1569,a,1556,a)]. 22.30/23.19 1570 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | -related(A,B,f91(A,C,B)) | relstr_set_smaller(A,C,f92(A,C,B)) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.19 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | -related(rel_str_of(B,C),A,f91(rel_str_of(B,C),D,A)) | relstr_set_smaller(rel_str_of(B,C),D,f92(rel_str_of(B,C),D,A)) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1570,a,1554,b)]. 22.30/23.21 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | -related(poset_of_lattice(B),A,f91(poset_of_lattice(B),C,A)) | relstr_set_smaller(poset_of_lattice(B),C,f92(poset_of_lattice(B),C,A)) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1570,a,1555,d)]. 22.30/23.21 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | -related(c5,A,f91(c5,B,A)) | relstr_set_smaller(c5,B,f92(c5,B,A)) | ex_sup_of_relstr_set(c5,B). [resolve(1570,a,1556,a)]. 22.30/23.21 1571 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | -related(A,B,f91(A,C,B)) | -element(D,the_carrier(A)) | -relstr_set_smaller(A,C,D) | related(A,f92(A,C,B),D) | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.21 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | -related(rel_str_of(B,C),A,f91(rel_str_of(B,C),D,A)) | -element(E,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,E) | related(rel_str_of(B,C),f92(rel_str_of(B,C),D,A),E) | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1571,a,1554,b)]. 22.30/23.21 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | -related(poset_of_lattice(B),A,f91(poset_of_lattice(B),C,A)) | -element(D,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,D) | related(poset_of_lattice(B),f92(poset_of_lattice(B),C,A),D) | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1571,a,1555,d)]. 22.30/23.21 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | -related(c5,A,f91(c5,B,A)) | -element(C,the_carrier(c5)) | -relstr_set_smaller(c5,B,C) | related(c5,f92(c5,B,A),C) | ex_sup_of_relstr_set(c5,B). [resolve(1571,a,1556,a)]. 22.30/23.21 1572 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | -related(A,B,f91(A,C,B)) | f92(A,C,B) != B | ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.21 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | -related(rel_str_of(B,C),A,f91(rel_str_of(B,C),D,A)) | f92(rel_str_of(B,C),D,A) != A | ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1572,a,1554,b)]. 22.30/23.21 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | -related(poset_of_lattice(B),A,f91(poset_of_lattice(B),C,A)) | f92(poset_of_lattice(B),C,A) != A | ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1572,a,1555,d)]. 22.30/23.21 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | -related(c5,A,f91(c5,B,A)) | f92(c5,B,A) != A | ex_sup_of_relstr_set(c5,B). [resolve(1572,a,1556,a)]. 22.30/23.21 1573 -rel_str(A) | element(f93(A,B),the_carrier(A)) | -ex_sup_of_relstr_set(A,B) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.21 Derived: element(f93(rel_str_of(A,B),C),the_carrier(rel_str_of(A,B))) | -ex_sup_of_relstr_set(rel_str_of(A,B),C) | -relation_of2(B,A,A). [resolve(1573,a,1554,b)]. 22.30/23.21 Derived: element(f93(poset_of_lattice(A),B),the_carrier(poset_of_lattice(A))) | -ex_sup_of_relstr_set(poset_of_lattice(A),B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1573,a,1555,d)]. 22.30/23.21 Derived: element(f93(c5,A),the_carrier(c5)) | -ex_sup_of_relstr_set(c5,A). [resolve(1573,a,1556,a)]. 22.30/23.21 1574 -rel_str(A) | relstr_set_smaller(A,B,f93(A,B)) | -ex_sup_of_relstr_set(A,B) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.30/23.21 Derived: relstr_set_smaller(rel_str_of(A,B),C,f93(rel_str_of(A,B),C)) | -ex_sup_of_relstr_set(rel_str_of(A,B),C) | -relation_of2(B,A,A). [resolve(1574,a,1554,b)]. 22.30/23.21 Derived: relstr_set_smaller(poset_of_lattice(A),B,f93(poset_of_lattice(A),B)) | -ex_sup_of_relstr_set(poset_of_lattice(A),B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1574,a,1555,d)]. 22.39/23.24 Derived: relstr_set_smaller(c5,A,f93(c5,A)) | -ex_sup_of_relstr_set(c5,A). [resolve(1574,a,1556,a)]. 22.39/23.24 1575 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | related(A,f93(A,C),B) | -ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.39/23.24 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | related(rel_str_of(B,C),f93(rel_str_of(B,C),D),A) | -ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1575,a,1554,b)]. 22.39/23.24 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | related(poset_of_lattice(B),f93(poset_of_lattice(B),C),A) | -ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1575,a,1555,d)]. 22.39/23.24 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | related(c5,f93(c5,B),A) | -ex_sup_of_relstr_set(c5,B). [resolve(1575,a,1556,a)]. 22.39/23.24 1576 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | element(f94(A,C,B),the_carrier(A)) | B = f93(A,C) | -ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.39/23.24 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | element(f94(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | A = f93(rel_str_of(B,C),D) | -ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1576,a,1554,b)]. 22.39/23.24 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | element(f94(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | A = f93(poset_of_lattice(B),C) | -ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1576,a,1555,d)]. 22.39/23.24 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | element(f94(c5,B,A),the_carrier(c5)) | A = f93(c5,B) | -ex_sup_of_relstr_set(c5,B). [resolve(1576,a,1556,a)]. 22.39/23.24 1577 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | relstr_set_smaller(A,C,f94(A,C,B)) | B = f93(A,C) | -ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.39/23.24 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | relstr_set_smaller(rel_str_of(B,C),D,f94(rel_str_of(B,C),D,A)) | A = f93(rel_str_of(B,C),D) | -ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1577,a,1554,b)]. 22.39/23.24 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | relstr_set_smaller(poset_of_lattice(B),C,f94(poset_of_lattice(B),C,A)) | A = f93(poset_of_lattice(B),C) | -ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1577,a,1555,d)]. 22.39/23.24 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | relstr_set_smaller(c5,B,f94(c5,B,A)) | A = f93(c5,B) | -ex_sup_of_relstr_set(c5,B). [resolve(1577,a,1556,a)]. 22.39/23.24 1578 -rel_str(A) | -element(B,the_carrier(A)) | -relstr_set_smaller(A,C,B) | -related(A,B,f94(A,C,B)) | B = f93(A,C) | -ex_sup_of_relstr_set(A,C) # label(d7_yellow_0) # label(axiom). [clausify(188)]. 22.39/23.24 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -relstr_set_smaller(rel_str_of(B,C),D,A) | -related(rel_str_of(B,C),A,f94(rel_str_of(B,C),D,A)) | A = f93(rel_str_of(B,C),D) | -ex_sup_of_relstr_set(rel_str_of(B,C),D) | -relation_of2(C,B,B). [resolve(1578,a,1554,b)]. 22.39/23.24 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -relstr_set_smaller(poset_of_lattice(B),C,A) | -related(poset_of_lattice(B),A,f94(poset_of_lattice(B),C,A)) | A = f93(poset_of_lattice(B),C) | -ex_sup_of_relstr_set(poset_of_lattice(B),C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1578,a,1555,d)]. 22.39/23.24 Derived: -element(A,the_carrier(c5)) | -relstr_set_smaller(c5,B,A) | -related(c5,A,f94(c5,B,A)) | A = f93(c5,B) | -ex_sup_of_relstr_set(c5,B). [resolve(1578,a,1556,a)]. 22.39/23.24 1579 -rel_str(A) | -antisymmetric_relstr(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related(A,C,B) | -related(A,B,C) | C = B # label(t25_orders_2) # label(lemma). [clausify(206)]. 22.46/23.30 Derived: -antisymmetric_relstr(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),D,C) | -related(rel_str_of(A,B),C,D) | D = C | -relation_of2(B,A,A). [resolve(1579,a,1554,b)]. 22.46/23.30 Derived: -antisymmetric_relstr(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),C,B) | -related(poset_of_lattice(A),B,C) | C = B | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1579,a,1555,d)]. 22.46/23.30 Derived: -antisymmetric_relstr(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | -related(c5,B,A) | -related(c5,A,B) | B = A. [resolve(1579,a,1556,a)]. 22.46/23.30 1580 -rel_str(A) | -element(B,the_carrier(A)) | element(f126(A,C,B),the_carrier(A)) | relstr_set_smaller(A,C,B) # label(d9_lattice3) # label(axiom). [clausify(226)]. 22.46/23.30 Derived: -element(A,the_carrier(rel_str_of(B,C))) | element(f126(rel_str_of(B,C),D,A),the_carrier(rel_str_of(B,C))) | relstr_set_smaller(rel_str_of(B,C),D,A) | -relation_of2(C,B,B). [resolve(1580,a,1554,b)]. 22.46/23.30 Derived: -element(A,the_carrier(poset_of_lattice(B))) | element(f126(poset_of_lattice(B),C,A),the_carrier(poset_of_lattice(B))) | relstr_set_smaller(poset_of_lattice(B),C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1580,a,1555,d)]. 22.46/23.30 Derived: -element(A,the_carrier(c5)) | element(f126(c5,B,A),the_carrier(c5)) | relstr_set_smaller(c5,B,A). [resolve(1580,a,1556,a)]. 22.46/23.30 1581 -rel_str(A) | -element(B,the_carrier(A)) | in(f126(A,C,B),C) | relstr_set_smaller(A,C,B) # label(d9_lattice3) # label(axiom). [clausify(226)]. 22.46/23.30 Derived: -element(A,the_carrier(rel_str_of(B,C))) | in(f126(rel_str_of(B,C),D,A),D) | relstr_set_smaller(rel_str_of(B,C),D,A) | -relation_of2(C,B,B). [resolve(1581,a,1554,b)]. 22.46/23.30 Derived: -element(A,the_carrier(poset_of_lattice(B))) | in(f126(poset_of_lattice(B),C,A),C) | relstr_set_smaller(poset_of_lattice(B),C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1581,a,1555,d)]. 22.46/23.30 Derived: -element(A,the_carrier(c5)) | in(f126(c5,B,A),B) | relstr_set_smaller(c5,B,A). [resolve(1581,a,1556,a)]. 22.46/23.30 1582 -rel_str(A) | -element(B,the_carrier(A)) | -related(A,f126(A,C,B),B) | relstr_set_smaller(A,C,B) # label(d9_lattice3) # label(axiom). [clausify(226)]. 22.46/23.30 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -related(rel_str_of(B,C),f126(rel_str_of(B,C),D,A),A) | relstr_set_smaller(rel_str_of(B,C),D,A) | -relation_of2(C,B,B). [resolve(1582,a,1554,b)]. 22.46/23.30 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -related(poset_of_lattice(B),f126(poset_of_lattice(B),C,A),A) | relstr_set_smaller(poset_of_lattice(B),C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1582,a,1555,d)]. 22.46/23.30 Derived: -element(A,the_carrier(c5)) | -related(c5,f126(c5,B,A),A) | relstr_set_smaller(c5,B,A). [resolve(1582,a,1556,a)]. 22.46/23.30 1583 -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(C,D) | related(A,C,B) | -relstr_set_smaller(A,D,B) # label(d9_lattice3) # label(axiom). [clausify(226)]. 22.46/23.30 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -element(D,the_carrier(rel_str_of(B,C))) | -in(D,E) | related(rel_str_of(B,C),D,A) | -relstr_set_smaller(rel_str_of(B,C),E,A) | -relation_of2(C,B,B). [resolve(1583,a,1554,b)]. 22.46/23.30 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -element(C,the_carrier(poset_of_lattice(B))) | -in(C,D) | related(poset_of_lattice(B),C,A) | -relstr_set_smaller(poset_of_lattice(B),D,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1583,a,1555,d)]. 22.46/23.30 Derived: -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | -in(B,C) | related(c5,B,A) | -relstr_set_smaller(c5,C,A). [resolve(1583,a,1556,a)]. 22.46/23.30 1584 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | relation(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(242)]. 22.46/23.30 Derived: -reflexive_relstr(rel_str_of(A,B)) | -antisymmetric_relstr(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | relation(the_InternalRel(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1584,b,1554,b)]. 22.46/23.33 Derived: -reflexive_relstr(poset_of_lattice(A)) | -antisymmetric_relstr(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(1584,b,1555,d)]. 22.46/23.33 Derived: -reflexive_relstr(c5) | -antisymmetric_relstr(c5) | -transitive_relstr(c5) | relation(the_InternalRel(c5)). [resolve(1584,b,1556,a)]. 22.46/23.33 1585 -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(242)]. 22.46/23.33 Derived: -reflexive_relstr(rel_str_of(A,B)) | -antisymmetric_relstr(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))) | -relation_of2(B,A,A). [resolve(1585,b,1554,b)]. 22.46/23.33 Derived: -reflexive_relstr(poset_of_lattice(A)) | -antisymmetric_relstr(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(1585,b,1555,d)]. 22.46/23.33 Derived: -reflexive_relstr(c5) | -antisymmetric_relstr(c5) | -transitive_relstr(c5) | v1_partfun1(the_InternalRel(c5),the_carrier(c5),the_carrier(c5)). [resolve(1585,b,1556,a)]. 22.46/23.33 1586 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | transitive(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(242)]. 22.46/23.33 Derived: -reflexive_relstr(rel_str_of(A,B)) | -antisymmetric_relstr(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | transitive(the_InternalRel(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1586,b,1554,b)]. 22.46/23.33 Derived: -reflexive_relstr(poset_of_lattice(A)) | -antisymmetric_relstr(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(1586,b,1555,d)]. 22.46/23.33 Derived: -reflexive_relstr(c5) | -antisymmetric_relstr(c5) | -transitive_relstr(c5) | transitive(the_InternalRel(c5)). [resolve(1586,b,1556,a)]. 22.46/23.33 1587 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | antisymmetric(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(242)]. 22.46/23.33 Derived: -reflexive_relstr(rel_str_of(A,B)) | -antisymmetric_relstr(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | antisymmetric(the_InternalRel(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1587,b,1554,b)]. 22.46/23.33 Derived: -reflexive_relstr(poset_of_lattice(A)) | -antisymmetric_relstr(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(1587,b,1555,d)]. 22.46/23.33 Derived: -reflexive_relstr(c5) | -antisymmetric_relstr(c5) | -transitive_relstr(c5) | antisymmetric(the_InternalRel(c5)). [resolve(1587,b,1556,a)]. 22.46/23.33 1588 -reflexive_relstr(A) | -rel_str(A) | -antisymmetric_relstr(A) | -transitive_relstr(A) | reflexive(the_InternalRel(A)) # label(fc2_orders_2) # label(axiom). [clausify(242)]. 22.46/23.33 Derived: -reflexive_relstr(rel_str_of(A,B)) | -antisymmetric_relstr(rel_str_of(A,B)) | -transitive_relstr(rel_str_of(A,B)) | reflexive(the_InternalRel(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1588,b,1554,b)]. 22.46/23.33 Derived: -reflexive_relstr(poset_of_lattice(A)) | -antisymmetric_relstr(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(1588,b,1555,d)]. 22.46/23.33 Derived: -reflexive_relstr(c5) | -antisymmetric_relstr(c5) | -transitive_relstr(c5) | reflexive(the_InternalRel(c5)). [resolve(1588,b,1556,a)]. 22.46/23.33 1589 -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(260)]. 22.54/23.39 Derived: -strict_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(1589,a,1554,b)]. 22.54/23.39 Derived: -strict_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) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1589,a,1555,d)]. 22.54/23.39 Derived: -strict_rel_str(c5) | rel_str_of(the_carrier(c5),the_InternalRel(c5)) = c5. [resolve(1589,a,1556,a)]. 22.54/23.39 1590 -rel_str(A) | -antisymmetric_relstr(A) | is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) # label(d6_orders_2) # label(axiom). [clausify(287)]. 22.54/23.39 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | is_antisymmetric_in(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1590,a,1554,b)]. 22.54/23.39 Derived: -antisymmetric_relstr(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(1590,a,1555,d)]. 22.54/23.39 Derived: -antisymmetric_relstr(c5) | is_antisymmetric_in(the_InternalRel(c5),the_carrier(c5)). [resolve(1590,a,1556,a)]. 22.54/23.39 1591 -rel_str(A) | antisymmetric_relstr(A) | -is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) # label(d6_orders_2) # label(axiom). [clausify(287)]. 22.54/23.39 Derived: antisymmetric_relstr(rel_str_of(A,B)) | -is_antisymmetric_in(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1591,a,1554,b)]. 22.54/23.39 Derived: antisymmetric_relstr(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(1591,a,1555,d)]. 22.54/23.39 Derived: antisymmetric_relstr(c5) | -is_antisymmetric_in(the_InternalRel(c5),the_carrier(c5)). [resolve(1591,a,1556,a)]. 22.54/23.39 1592 rel_str(c16) # label(rc2_orders_2) # label(axiom). [clausify(322)]. 22.54/23.39 Derived: relation_of2_as_subset(the_InternalRel(c16),the_carrier(c16),the_carrier(c16)). [resolve(1592,a,1553,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | element(f76(c16,B,A),the_carrier(c16)) | relstr_element_smaller(c16,B,A). [resolve(1592,a,1557,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | in(f76(c16,B,A),B) | relstr_element_smaller(c16,B,A). [resolve(1592,a,1558,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -related(c16,A,f76(c16,B,A)) | relstr_element_smaller(c16,B,A). [resolve(1592,a,1559,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | -in(B,C) | related(c16,A,B) | -relstr_element_smaller(c16,C,A). [resolve(1592,a,1560,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | element(f91(c16,B,A),the_carrier(c16)) | element(f92(c16,B,A),the_carrier(c16)) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1561,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | element(f91(c16,B,A),the_carrier(c16)) | relstr_set_smaller(c16,B,f92(c16,B,A)) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1562,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | element(f91(c16,B,A),the_carrier(c16)) | -element(C,the_carrier(c16)) | -relstr_set_smaller(c16,B,C) | related(c16,f92(c16,B,A),C) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1563,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | element(f91(c16,B,A),the_carrier(c16)) | f92(c16,B,A) != A | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1564,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | relstr_set_smaller(c16,B,f91(c16,B,A)) | element(f92(c16,B,A),the_carrier(c16)) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1565,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | relstr_set_smaller(c16,B,f91(c16,B,A)) | relstr_set_smaller(c16,B,f92(c16,B,A)) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1566,a)]. 22.54/23.39 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | relstr_set_smaller(c16,B,f91(c16,B,A)) | -element(C,the_carrier(c16)) | -relstr_set_smaller(c16,B,C) | related(c16,f92(c16,B,A),C) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1567,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | relstr_set_smaller(c16,B,f91(c16,B,A)) | f92(c16,B,A) != A | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1568,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | -related(c16,A,f91(c16,B,A)) | element(f92(c16,B,A),the_carrier(c16)) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1569,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | -related(c16,A,f91(c16,B,A)) | relstr_set_smaller(c16,B,f92(c16,B,A)) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1570,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | -related(c16,A,f91(c16,B,A)) | -element(C,the_carrier(c16)) | -relstr_set_smaller(c16,B,C) | related(c16,f92(c16,B,A),C) | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1571,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | -related(c16,A,f91(c16,B,A)) | f92(c16,B,A) != A | ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1572,a)]. 22.59/23.45 Derived: element(f93(c16,A),the_carrier(c16)) | -ex_sup_of_relstr_set(c16,A). [resolve(1592,a,1573,a)]. 22.59/23.45 Derived: relstr_set_smaller(c16,A,f93(c16,A)) | -ex_sup_of_relstr_set(c16,A). [resolve(1592,a,1574,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | related(c16,f93(c16,B),A) | -ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1575,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | element(f94(c16,B,A),the_carrier(c16)) | A = f93(c16,B) | -ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1576,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | relstr_set_smaller(c16,B,f94(c16,B,A)) | A = f93(c16,B) | -ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1577,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -relstr_set_smaller(c16,B,A) | -related(c16,A,f94(c16,B,A)) | A = f93(c16,B) | -ex_sup_of_relstr_set(c16,B). [resolve(1592,a,1578,a)]. 22.59/23.45 Derived: -antisymmetric_relstr(c16) | -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | -related(c16,B,A) | -related(c16,A,B) | B = A. [resolve(1592,a,1579,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | element(f126(c16,B,A),the_carrier(c16)) | relstr_set_smaller(c16,B,A). [resolve(1592,a,1580,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | in(f126(c16,B,A),B) | relstr_set_smaller(c16,B,A). [resolve(1592,a,1581,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -related(c16,f126(c16,B,A),A) | relstr_set_smaller(c16,B,A). [resolve(1592,a,1582,a)]. 22.59/23.45 Derived: -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | -in(B,C) | related(c16,B,A) | -relstr_set_smaller(c16,C,A). [resolve(1592,a,1583,a)]. 22.59/23.45 Derived: -reflexive_relstr(c16) | -antisymmetric_relstr(c16) | -transitive_relstr(c16) | relation(the_InternalRel(c16)). [resolve(1592,a,1584,b)]. 22.59/23.45 Derived: -reflexive_relstr(c16) | -antisymmetric_relstr(c16) | -transitive_relstr(c16) | v1_partfun1(the_InternalRel(c16),the_carrier(c16),the_carrier(c16)). [resolve(1592,a,1585,b)]. 22.59/23.45 Derived: -reflexive_relstr(c16) | -antisymmetric_relstr(c16) | -transitive_relstr(c16) | transitive(the_InternalRel(c16)). [resolve(1592,a,1586,b)]. 22.59/23.45 Derived: -reflexive_relstr(c16) | -antisymmetric_relstr(c16) | -transitive_relstr(c16) | antisymmetric(the_InternalRel(c16)). [resolve(1592,a,1587,b)]. 22.59/23.45 Derived: -reflexive_relstr(c16) | -antisymmetric_relstr(c16) | -transitive_relstr(c16) | reflexive(the_InternalRel(c16)). [resolve(1592,a,1588,b)]. 22.59/23.45 Derived: -strict_rel_str(c16) | rel_str_of(the_carrier(c16),the_InternalRel(c16)) = c16. [resolve(1592,a,1589,a)]. 22.59/23.45 Derived: -antisymmetric_relstr(c16) | is_antisymmetric_in(the_InternalRel(c16),the_carrier(c16)). [resolve(1592,a,1590,a)]. 22.59/23.45 1593 -element(A,the_carrier(B)) | -element(C,the_carrier(B)) | -rel_str(B) | -reflexive_relstr(B) | empty_carrier(B) | related_reflexive(B,A,A) # label(reflexivity_r3_orders_2) # label(axiom). [clausify(347)]. 22.59/23.45 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -element(D,the_carrier(rel_str_of(B,C))) | -reflexive_relstr(rel_str_of(B,C)) | empty_carrier(rel_str_of(B,C)) | related_reflexive(rel_str_of(B,C),A,A) | -relation_of2(C,B,B). [resolve(1593,c,1554,b)]. 22.71/23.56 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -element(C,the_carrier(poset_of_lattice(B))) | -reflexive_relstr(poset_of_lattice(B)) | empty_carrier(poset_of_lattice(B)) | related_reflexive(poset_of_lattice(B),A,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1593,c,1555,d)]. 22.71/23.56 Derived: -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | -reflexive_relstr(c5) | empty_carrier(c5) | related_reflexive(c5,A,A). [resolve(1593,c,1556,a)]. 22.71/23.56 Derived: -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | -reflexive_relstr(c16) | empty_carrier(c16) | related_reflexive(c16,A,A). [resolve(1593,c,1592,a)]. 22.71/23.56 1594 -antisymmetric_relstr(A) | -rel_str(A) | -ex_sup_of_relstr_set(A,B) | element(f257(A,B),the_carrier(A)) # label(t15_yellow_0) # label(lemma). [clausify(409)]. 22.71/23.56 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | -ex_sup_of_relstr_set(rel_str_of(A,B),C) | element(f257(rel_str_of(A,B),C),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1594,b,1554,b)]. 22.71/23.56 Derived: -antisymmetric_relstr(poset_of_lattice(A)) | -ex_sup_of_relstr_set(poset_of_lattice(A),B) | element(f257(poset_of_lattice(A),B),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1594,b,1555,d)]. 22.71/23.56 Derived: -antisymmetric_relstr(c5) | -ex_sup_of_relstr_set(c5,A) | element(f257(c5,A),the_carrier(c5)). [resolve(1594,b,1556,a)]. 22.71/23.56 Derived: -antisymmetric_relstr(c16) | -ex_sup_of_relstr_set(c16,A) | element(f257(c16,A),the_carrier(c16)). [resolve(1594,b,1592,a)]. 22.71/23.56 1595 -antisymmetric_relstr(A) | -rel_str(A) | -ex_sup_of_relstr_set(A,B) | relstr_set_smaller(A,B,f257(A,B)) # label(t15_yellow_0) # label(lemma). [clausify(409)]. 22.71/23.56 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | -ex_sup_of_relstr_set(rel_str_of(A,B),C) | relstr_set_smaller(rel_str_of(A,B),C,f257(rel_str_of(A,B),C)) | -relation_of2(B,A,A). [resolve(1595,b,1554,b)]. 22.71/23.56 Derived: -antisymmetric_relstr(poset_of_lattice(A)) | -ex_sup_of_relstr_set(poset_of_lattice(A),B) | relstr_set_smaller(poset_of_lattice(A),B,f257(poset_of_lattice(A),B)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1595,b,1555,d)]. 22.71/23.56 Derived: -antisymmetric_relstr(c5) | -ex_sup_of_relstr_set(c5,A) | relstr_set_smaller(c5,A,f257(c5,A)). [resolve(1595,b,1556,a)]. 22.71/23.56 Derived: -antisymmetric_relstr(c16) | -ex_sup_of_relstr_set(c16,A) | relstr_set_smaller(c16,A,f257(c16,A)). [resolve(1595,b,1592,a)]. 22.71/23.56 1596 -antisymmetric_relstr(A) | -rel_str(A) | -ex_sup_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_set_smaller(A,B,C) | related(A,f257(A,B),C) # label(t15_yellow_0) # label(lemma). [clausify(409)]. 22.71/23.56 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | -ex_sup_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | -relstr_set_smaller(rel_str_of(A,B),C,D) | related(rel_str_of(A,B),f257(rel_str_of(A,B),C),D) | -relation_of2(B,A,A). [resolve(1596,b,1554,b)]. 22.71/23.56 Derived: -antisymmetric_relstr(poset_of_lattice(A)) | -ex_sup_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | -relstr_set_smaller(poset_of_lattice(A),B,C) | related(poset_of_lattice(A),f257(poset_of_lattice(A),B),C) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1596,b,1555,d)]. 22.71/23.56 Derived: -antisymmetric_relstr(c5) | -ex_sup_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | -relstr_set_smaller(c5,A,B) | related(c5,f257(c5,A),B). [resolve(1596,b,1556,a)]. 22.71/23.56 Derived: -antisymmetric_relstr(c16) | -ex_sup_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | -relstr_set_smaller(c16,A,B) | related(c16,f257(c16,A),B). [resolve(1596,b,1592,a)]. 22.71/23.56 1597 -antisymmetric_relstr(A) | -rel_str(A) | ex_sup_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_set_smaller(A,B,C) | element(f258(A,B,C),the_carrier(A)) # label(t15_yellow_0) # label(lemma). [clausify(409)]. 22.71/23.56 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | ex_sup_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | -relstr_set_smaller(rel_str_of(A,B),C,D) | element(f258(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1597,b,1554,b)]. 22.76/23.62 Derived: -antisymmetric_relstr(poset_of_lattice(A)) | ex_sup_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | -relstr_set_smaller(poset_of_lattice(A),B,C) | element(f258(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1597,b,1555,d)]. 22.76/23.62 Derived: -antisymmetric_relstr(c5) | ex_sup_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | -relstr_set_smaller(c5,A,B) | element(f258(c5,A,B),the_carrier(c5)). [resolve(1597,b,1556,a)]. 22.76/23.62 Derived: -antisymmetric_relstr(c16) | ex_sup_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | -relstr_set_smaller(c16,A,B) | element(f258(c16,A,B),the_carrier(c16)). [resolve(1597,b,1592,a)]. 22.76/23.62 1598 -antisymmetric_relstr(A) | -rel_str(A) | ex_sup_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_set_smaller(A,B,C) | relstr_set_smaller(A,B,f258(A,B,C)) # label(t15_yellow_0) # label(lemma). [clausify(409)]. 22.76/23.62 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | ex_sup_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | -relstr_set_smaller(rel_str_of(A,B),C,D) | relstr_set_smaller(rel_str_of(A,B),C,f258(rel_str_of(A,B),C,D)) | -relation_of2(B,A,A). [resolve(1598,b,1554,b)]. 22.76/23.62 Derived: -antisymmetric_relstr(poset_of_lattice(A)) | ex_sup_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | -relstr_set_smaller(poset_of_lattice(A),B,C) | relstr_set_smaller(poset_of_lattice(A),B,f258(poset_of_lattice(A),B,C)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1598,b,1555,d)]. 22.76/23.62 Derived: -antisymmetric_relstr(c5) | ex_sup_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | -relstr_set_smaller(c5,A,B) | relstr_set_smaller(c5,A,f258(c5,A,B)). [resolve(1598,b,1556,a)]. 22.76/23.62 Derived: -antisymmetric_relstr(c16) | ex_sup_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | -relstr_set_smaller(c16,A,B) | relstr_set_smaller(c16,A,f258(c16,A,B)). [resolve(1598,b,1592,a)]. 22.76/23.62 1599 -antisymmetric_relstr(A) | -rel_str(A) | ex_sup_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_set_smaller(A,B,C) | -related(A,C,f258(A,B,C)) # label(t15_yellow_0) # label(lemma). [clausify(409)]. 22.76/23.62 Derived: -antisymmetric_relstr(rel_str_of(A,B)) | ex_sup_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | -relstr_set_smaller(rel_str_of(A,B),C,D) | -related(rel_str_of(A,B),D,f258(rel_str_of(A,B),C,D)) | -relation_of2(B,A,A). [resolve(1599,b,1554,b)]. 22.76/23.62 Derived: -antisymmetric_relstr(poset_of_lattice(A)) | ex_sup_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | -relstr_set_smaller(poset_of_lattice(A),B,C) | -related(poset_of_lattice(A),C,f258(poset_of_lattice(A),B,C)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1599,b,1555,d)]. 22.76/23.62 Derived: -antisymmetric_relstr(c5) | ex_sup_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | -relstr_set_smaller(c5,A,B) | -related(c5,B,f258(c5,A,B)). [resolve(1599,b,1556,a)]. 22.76/23.62 Derived: -antisymmetric_relstr(c16) | ex_sup_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | -relstr_set_smaller(c16,A,B) | -related(c16,B,f258(c16,A,B)). [resolve(1599,b,1592,a)]. 22.76/23.62 1600 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | related(A,C,f271(A,B)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.76/23.62 Derived: -ex_inf_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,D) | related(rel_str_of(A,B),D,f271(rel_str_of(A,B),C)) | -relation_of2(B,A,A). [resolve(1600,a,1554,b)]. 22.76/23.62 Derived: -ex_inf_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,C) | related(poset_of_lattice(A),C,f271(poset_of_lattice(A),B)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1600,a,1555,d)]. 22.76/23.62 Derived: -ex_inf_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | -relstr_element_smaller(c5,A,B) | related(c5,B,f271(c5,A)). [resolve(1600,a,1556,a)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | -relstr_element_smaller(c16,A,B) | related(c16,B,f271(c16,A)). [resolve(1600,a,1592,a)]. 22.76/23.64 1601 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | element(f272(A,B,C),the_carrier(A)) | -relstr_element_smaller(A,B,C) | C = f271(A,B) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | element(f272(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,D) | D = f271(rel_str_of(A,B),C) | -relation_of2(B,A,A). [resolve(1601,a,1554,b)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | element(f272(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,C) | C = f271(poset_of_lattice(A),B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1601,a,1555,d)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | element(f272(c5,A,B),the_carrier(c5)) | -relstr_element_smaller(c5,A,B) | B = f271(c5,A). [resolve(1601,a,1556,a)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | element(f272(c16,A,B),the_carrier(c16)) | -relstr_element_smaller(c16,A,B) | B = f271(c16,A). [resolve(1601,a,1592,a)]. 22.76/23.64 1602 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | relstr_element_smaller(A,B,f272(A,B,C)) | -relstr_element_smaller(A,B,C) | C = f271(A,B) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | relstr_element_smaller(rel_str_of(A,B),C,f272(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | D = f271(rel_str_of(A,B),C) | -relation_of2(B,A,A). [resolve(1602,a,1554,b)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | relstr_element_smaller(poset_of_lattice(A),B,f272(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | C = f271(poset_of_lattice(A),B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1602,a,1555,d)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | relstr_element_smaller(c5,A,f272(c5,A,B)) | -relstr_element_smaller(c5,A,B) | B = f271(c5,A). [resolve(1602,a,1556,a)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | relstr_element_smaller(c16,A,f272(c16,A,B)) | -relstr_element_smaller(c16,A,B) | B = f271(c16,A). [resolve(1602,a,1592,a)]. 22.76/23.64 1603 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -related(A,f272(A,B,C),C) | -relstr_element_smaller(A,B,C) | C = f271(A,B) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(rel_str_of(A,B),C) | -element(D,the_carrier(rel_str_of(A,B))) | -related(rel_str_of(A,B),f272(rel_str_of(A,B),C,D),D) | -relstr_element_smaller(rel_str_of(A,B),C,D) | D = f271(rel_str_of(A,B),C) | -relation_of2(B,A,A). [resolve(1603,a,1554,b)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(poset_of_lattice(A),B) | -element(C,the_carrier(poset_of_lattice(A))) | -related(poset_of_lattice(A),f272(poset_of_lattice(A),B,C),C) | -relstr_element_smaller(poset_of_lattice(A),B,C) | C = f271(poset_of_lattice(A),B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1603,a,1555,d)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c5,A) | -element(B,the_carrier(c5)) | -related(c5,f272(c5,A,B),B) | -relstr_element_smaller(c5,A,B) | B = f271(c5,A). [resolve(1603,a,1556,a)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(c16,A) | -element(B,the_carrier(c16)) | -related(c16,f272(c16,A,B),B) | -relstr_element_smaller(c16,A,B) | B = f271(c16,A). [resolve(1603,a,1592,a)]. 22.76/23.64 1604 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f271(A,B)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.76/23.64 Derived: -ex_inf_of_relstr_set(rel_str_of(A,B),C) | relstr_element_smaller(rel_str_of(A,B),C,f271(rel_str_of(A,B),C)) | -relation_of2(B,A,A). [resolve(1604,a,1554,b)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(poset_of_lattice(A),B) | relstr_element_smaller(poset_of_lattice(A),B,f271(poset_of_lattice(A),B)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1604,a,1555,d)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(c5,A) | relstr_element_smaller(c5,A,f271(c5,A)). [resolve(1604,a,1556,a)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(c16,A) | relstr_element_smaller(c16,A,f271(c16,A)). [resolve(1604,a,1592,a)]. 22.82/23.67 1605 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | element(f271(A,B),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(rel_str_of(A,B),C) | element(f271(rel_str_of(A,B),C),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1605,a,1554,b)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(poset_of_lattice(A),B) | element(f271(poset_of_lattice(A),B),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1605,a,1555,d)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(c5,A) | element(f271(c5,A),the_carrier(c5)). [resolve(1605,a,1556,a)]. 22.82/23.67 Derived: -ex_inf_of_relstr_set(c16,A) | element(f271(c16,A),the_carrier(c16)). [resolve(1605,a,1592,a)]. 22.82/23.67 1606 -rel_str(A) | ex_inf_of_relstr_set(A,B) | element(f273(A,B,C),the_carrier(A)) | element(f274(A,B,C),the_carrier(A)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | element(f273(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | element(f274(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1606,a,1554,b)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | element(f273(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | element(f274(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1606,a,1555,d)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(c5,A) | element(f273(c5,A,B),the_carrier(c5)) | element(f274(c5,A,B),the_carrier(c5)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1606,a,1556,a)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(c16,A) | element(f273(c16,A,B),the_carrier(c16)) | element(f274(c16,A,B),the_carrier(c16)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1606,a,1592,a)]. 22.82/23.67 1607 -rel_str(A) | ex_inf_of_relstr_set(A,B) | element(f273(A,B,C),the_carrier(A)) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f274(A,B,C)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | element(f273(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | -element(E,the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,E) | related(rel_str_of(A,B),E,f274(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1607,a,1554,b)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | element(f273(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | -element(D,the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,D) | related(poset_of_lattice(A),D,f274(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1607,a,1555,d)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(c5,A) | element(f273(c5,A,B),the_carrier(c5)) | -element(C,the_carrier(c5)) | -relstr_element_smaller(c5,A,C) | related(c5,C,f274(c5,A,B)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1607,a,1556,a)]. 22.82/23.67 Derived: ex_inf_of_relstr_set(c16,A) | element(f273(c16,A,B),the_carrier(c16)) | -element(C,the_carrier(c16)) | -relstr_element_smaller(c16,A,C) | related(c16,C,f274(c16,A,B)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1607,a,1592,a)]. 22.82/23.69 1608 -rel_str(A) | ex_inf_of_relstr_set(A,B) | element(f273(A,B,C),the_carrier(A)) | relstr_element_smaller(A,B,f274(A,B,C)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | element(f273(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | relstr_element_smaller(rel_str_of(A,B),C,f274(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1608,a,1554,b)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | element(f273(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | relstr_element_smaller(poset_of_lattice(A),B,f274(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1608,a,1555,d)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(c5,A) | element(f273(c5,A,B),the_carrier(c5)) | relstr_element_smaller(c5,A,f274(c5,A,B)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1608,a,1556,a)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(c16,A) | element(f273(c16,A,B),the_carrier(c16)) | relstr_element_smaller(c16,A,f274(c16,A,B)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1608,a,1592,a)]. 22.82/23.69 1609 -rel_str(A) | ex_inf_of_relstr_set(A,B) | element(f273(A,B,C),the_carrier(A)) | f274(A,B,C) != C | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | element(f273(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | f274(rel_str_of(A,B),C,D) != D | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1609,a,1554,b)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | element(f273(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | f274(poset_of_lattice(A),B,C) != C | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1609,a,1555,d)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(c5,A) | element(f273(c5,A,B),the_carrier(c5)) | f274(c5,A,B) != B | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1609,a,1556,a)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(c16,A) | element(f273(c16,A,B),the_carrier(c16)) | f274(c16,A,B) != B | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1609,a,1592,a)]. 22.82/23.69 1610 -rel_str(A) | ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f273(A,B,C)) | element(f274(A,B,C),the_carrier(A)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | relstr_element_smaller(rel_str_of(A,B),C,f273(rel_str_of(A,B),C,D)) | element(f274(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1610,a,1554,b)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | relstr_element_smaller(poset_of_lattice(A),B,f273(poset_of_lattice(A),B,C)) | element(f274(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1610,a,1555,d)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(c5,A) | relstr_element_smaller(c5,A,f273(c5,A,B)) | element(f274(c5,A,B),the_carrier(c5)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1610,a,1556,a)]. 22.82/23.69 Derived: ex_inf_of_relstr_set(c16,A) | relstr_element_smaller(c16,A,f273(c16,A,B)) | element(f274(c16,A,B),the_carrier(c16)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1610,a,1592,a)]. 22.89/23.71 1611 -rel_str(A) | ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f273(A,B,C)) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f274(A,B,C)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | relstr_element_smaller(rel_str_of(A,B),C,f273(rel_str_of(A,B),C,D)) | -element(E,the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,E) | related(rel_str_of(A,B),E,f274(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1611,a,1554,b)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | relstr_element_smaller(poset_of_lattice(A),B,f273(poset_of_lattice(A),B,C)) | -element(D,the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,D) | related(poset_of_lattice(A),D,f274(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1611,a,1555,d)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(c5,A) | relstr_element_smaller(c5,A,f273(c5,A,B)) | -element(C,the_carrier(c5)) | -relstr_element_smaller(c5,A,C) | related(c5,C,f274(c5,A,B)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1611,a,1556,a)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(c16,A) | relstr_element_smaller(c16,A,f273(c16,A,B)) | -element(C,the_carrier(c16)) | -relstr_element_smaller(c16,A,C) | related(c16,C,f274(c16,A,B)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1611,a,1592,a)]. 22.89/23.71 1612 -rel_str(A) | ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f273(A,B,C)) | relstr_element_smaller(A,B,f274(A,B,C)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | relstr_element_smaller(rel_str_of(A,B),C,f273(rel_str_of(A,B),C,D)) | relstr_element_smaller(rel_str_of(A,B),C,f274(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1612,a,1554,b)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | relstr_element_smaller(poset_of_lattice(A),B,f273(poset_of_lattice(A),B,C)) | relstr_element_smaller(poset_of_lattice(A),B,f274(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1612,a,1555,d)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(c5,A) | relstr_element_smaller(c5,A,f273(c5,A,B)) | relstr_element_smaller(c5,A,f274(c5,A,B)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1612,a,1556,a)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(c16,A) | relstr_element_smaller(c16,A,f273(c16,A,B)) | relstr_element_smaller(c16,A,f274(c16,A,B)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1612,a,1592,a)]. 22.89/23.71 1613 -rel_str(A) | ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f273(A,B,C)) | f274(A,B,C) != C | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | relstr_element_smaller(rel_str_of(A,B),C,f273(rel_str_of(A,B),C,D)) | f274(rel_str_of(A,B),C,D) != D | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1613,a,1554,b)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | relstr_element_smaller(poset_of_lattice(A),B,f273(poset_of_lattice(A),B,C)) | f274(poset_of_lattice(A),B,C) != C | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1613,a,1555,d)]. 22.89/23.71 Derived: ex_inf_of_relstr_set(c5,A) | relstr_element_smaller(c5,A,f273(c5,A,B)) | f274(c5,A,B) != B | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1613,a,1556,a)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(c16,A) | relstr_element_smaller(c16,A,f273(c16,A,B)) | f274(c16,A,B) != B | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1613,a,1592,a)]. 22.89/23.73 1614 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -related(A,f273(A,B,C),C) | element(f274(A,B,C),the_carrier(A)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | -related(rel_str_of(A,B),f273(rel_str_of(A,B),C,D),D) | element(f274(rel_str_of(A,B),C,D),the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1614,a,1554,b)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | -related(poset_of_lattice(A),f273(poset_of_lattice(A),B,C),C) | element(f274(poset_of_lattice(A),B,C),the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1614,a,1555,d)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(c5,A) | -related(c5,f273(c5,A,B),B) | element(f274(c5,A,B),the_carrier(c5)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1614,a,1556,a)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(c16,A) | -related(c16,f273(c16,A,B),B) | element(f274(c16,A,B),the_carrier(c16)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1614,a,1592,a)]. 22.89/23.73 1615 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -related(A,f273(A,B,C),C) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f274(A,B,C)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | -related(rel_str_of(A,B),f273(rel_str_of(A,B),C,D),D) | -element(E,the_carrier(rel_str_of(A,B))) | -relstr_element_smaller(rel_str_of(A,B),C,E) | related(rel_str_of(A,B),E,f274(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1615,a,1554,b)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | -related(poset_of_lattice(A),f273(poset_of_lattice(A),B,C),C) | -element(D,the_carrier(poset_of_lattice(A))) | -relstr_element_smaller(poset_of_lattice(A),B,D) | related(poset_of_lattice(A),D,f274(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1615,a,1555,d)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(c5,A) | -related(c5,f273(c5,A,B),B) | -element(C,the_carrier(c5)) | -relstr_element_smaller(c5,A,C) | related(c5,C,f274(c5,A,B)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1615,a,1556,a)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(c16,A) | -related(c16,f273(c16,A,B),B) | -element(C,the_carrier(c16)) | -relstr_element_smaller(c16,A,C) | related(c16,C,f274(c16,A,B)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1615,a,1592,a)]. 22.89/23.73 1616 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -related(A,f273(A,B,C),C) | relstr_element_smaller(A,B,f274(A,B,C)) | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | -related(rel_str_of(A,B),f273(rel_str_of(A,B),C,D),D) | relstr_element_smaller(rel_str_of(A,B),C,f274(rel_str_of(A,B),C,D)) | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1616,a,1554,b)]. 22.89/23.73 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | -related(poset_of_lattice(A),f273(poset_of_lattice(A),B,C),C) | relstr_element_smaller(poset_of_lattice(A),B,f274(poset_of_lattice(A),B,C)) | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1616,a,1555,d)]. 24.37/25.22 Derived: ex_inf_of_relstr_set(c5,A) | -related(c5,f273(c5,A,B),B) | relstr_element_smaller(c5,A,f274(c5,A,B)) | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1616,a,1556,a)]. 24.37/25.22 Derived: ex_inf_of_relstr_set(c16,A) | -related(c16,f273(c16,A,B),B) | relstr_element_smaller(c16,A,f274(c16,A,B)) | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1616,a,1592,a)]. 24.37/25.22 1617 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -related(A,f273(A,B,C),C) | f274(A,B,C) != C | -relstr_element_smaller(A,B,C) | -element(C,the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(429)]. 24.37/25.22 Derived: ex_inf_of_relstr_set(rel_str_of(A,B),C) | -related(rel_str_of(A,B),f273(rel_str_of(A,B),C,D),D) | f274(rel_str_of(A,B),C,D) != D | -relstr_element_smaller(rel_str_of(A,B),C,D) | -element(D,the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1617,a,1554,b)]. 24.37/25.22 Derived: ex_inf_of_relstr_set(poset_of_lattice(A),B) | -related(poset_of_lattice(A),f273(poset_of_lattice(A),B,C),C) | f274(poset_of_lattice(A),B,C) != C | -relstr_element_smaller(poset_of_lattice(A),B,C) | -element(C,the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1617,a,1555,d)]. 24.37/25.22 Derived: ex_inf_of_relstr_set(c5,A) | -related(c5,f273(c5,A,B),B) | f274(c5,A,B) != B | -relstr_element_smaller(c5,A,B) | -element(B,the_carrier(c5)). [resolve(1617,a,1556,a)]. 24.37/25.22 Derived: ex_inf_of_relstr_set(c16,A) | -related(c16,f273(c16,A,B),B) | f274(c16,A,B) != B | -relstr_element_smaller(c16,A,B) | -element(B,the_carrier(c16)). [resolve(1617,a,1592,a)]. 24.37/25.22 1618 -rel_str(A) | -element(B,the_carrier(A)) | relstr_set_smaller(A,empty_set,B) # label(t6_yellow_0) # label(lemma). [clausify(528)]. 24.37/25.22 Derived: -element(A,the_carrier(rel_str_of(B,C))) | relstr_set_smaller(rel_str_of(B,C),empty_set,A) | -relation_of2(C,B,B). [resolve(1618,a,1554,b)]. 24.37/25.22 Derived: -element(A,the_carrier(poset_of_lattice(B))) | relstr_set_smaller(poset_of_lattice(B),empty_set,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1618,a,1555,d)]. 24.37/25.22 Derived: -element(A,the_carrier(c5)) | relstr_set_smaller(c5,empty_set,A). [resolve(1618,a,1556,a)]. 24.37/25.22 Derived: -element(A,the_carrier(c16)) | relstr_set_smaller(c16,empty_set,A). [resolve(1618,a,1592,a)]. 24.37/25.22 1619 -rel_str(A) | -element(B,the_carrier(A)) | relstr_element_smaller(A,empty_set,B) # label(t6_yellow_0) # label(lemma). [clausify(528)]. 24.37/25.22 Derived: -element(A,the_carrier(rel_str_of(B,C))) | relstr_element_smaller(rel_str_of(B,C),empty_set,A) | -relation_of2(C,B,B). [resolve(1619,a,1554,b)]. 24.37/25.22 Derived: -element(A,the_carrier(poset_of_lattice(B))) | relstr_element_smaller(poset_of_lattice(B),empty_set,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1619,a,1555,d)]. 24.37/25.22 Derived: -element(A,the_carrier(c5)) | relstr_element_smaller(c5,empty_set,A). [resolve(1619,a,1556,a)]. 24.37/25.22 Derived: -element(A,the_carrier(c16)) | relstr_element_smaller(c16,empty_set,A). [resolve(1619,a,1592,a)]. 24.37/25.22 1620 -transitive_relstr(A) | -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -element(D,the_carrier(A)) | -related(A,B,C) | -related(A,C,D) | related(A,B,D) # label(t26_orders_2) # label(lemma). [clausify(541)]. 24.37/25.22 Derived: -transitive_relstr(rel_str_of(A,B)) | -element(C,the_carrier(rel_str_of(A,B))) | -element(D,the_carrier(rel_str_of(A,B))) | -element(E,the_carrier(rel_str_of(A,B))) | -related(rel_str_of(A,B),C,D) | -related(rel_str_of(A,B),D,E) | related(rel_str_of(A,B),C,E) | -relation_of2(B,A,A). [resolve(1620,b,1554,b)]. 24.37/25.22 Derived: -transitive_relstr(poset_of_lattice(A)) | -element(B,the_carrier(poset_of_lattice(A))) | -element(C,the_carrier(poset_of_lattice(A))) | -element(D,the_carrier(poset_of_lattice(A))) | -related(poset_of_lattice(A),B,C) | -related(poset_of_lattice(A),C,D) | related(poset_of_lattice(A),B,D) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1620,b,1555,d)]. 24.37/25.22 Derived: -transitive_relstr(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | -element(C,the_carrier(c5)) | -related(c5,A,B) | -related(c5,B,C) | related(c5,A,C). [resolve(1620,b,1556,a)]. 24.53/25.39 Derived: -transitive_relstr(c16) | -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | -element(C,the_carrier(c16)) | -related(c16,A,B) | -related(c16,B,C) | related(c16,A,C). [resolve(1620,b,1592,a)]. 24.53/25.39 1621 -rel_str(A) | -transitive_relstr(A) | is_transitive_in(the_InternalRel(A),the_carrier(A)) # label(d5_orders_2) # label(axiom). [clausify(561)]. 24.53/25.39 Derived: -transitive_relstr(rel_str_of(A,B)) | is_transitive_in(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1621,a,1554,b)]. 24.53/25.39 Derived: -transitive_relstr(poset_of_lattice(A)) | is_transitive_in(the_InternalRel(poset_of_lattice(A)),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1621,a,1555,d)]. 24.53/25.39 Derived: -transitive_relstr(c5) | is_transitive_in(the_InternalRel(c5),the_carrier(c5)). [resolve(1621,a,1556,a)]. 24.53/25.39 Derived: -transitive_relstr(c16) | is_transitive_in(the_InternalRel(c16),the_carrier(c16)). [resolve(1621,a,1592,a)]. 24.53/25.39 1622 -rel_str(A) | transitive_relstr(A) | -is_transitive_in(the_InternalRel(A),the_carrier(A)) # label(d5_orders_2) # label(axiom). [clausify(561)]. 24.53/25.39 Derived: transitive_relstr(rel_str_of(A,B)) | -is_transitive_in(the_InternalRel(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1622,a,1554,b)]. 24.53/25.39 Derived: transitive_relstr(poset_of_lattice(A)) | -is_transitive_in(the_InternalRel(poset_of_lattice(A)),the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1622,a,1555,d)]. 24.53/25.39 Derived: transitive_relstr(c5) | -is_transitive_in(the_InternalRel(c5),the_carrier(c5)). [resolve(1622,a,1556,a)]. 24.53/25.39 Derived: transitive_relstr(c16) | -is_transitive_in(the_InternalRel(c16),the_carrier(c16)). [resolve(1622,a,1592,a)]. 24.53/25.39 1623 -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -in(ordered_pair(B,C),the_InternalRel(A)) | related(A,B,C) # label(d9_orders_2) # label(axiom). [clausify(568)]. 24.53/25.39 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -element(D,the_carrier(rel_str_of(B,C))) | -in(ordered_pair(A,D),the_InternalRel(rel_str_of(B,C))) | related(rel_str_of(B,C),A,D) | -relation_of2(C,B,B). [resolve(1623,a,1554,b)]. 24.53/25.39 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -element(C,the_carrier(poset_of_lattice(B))) | -in(ordered_pair(A,C),the_InternalRel(poset_of_lattice(B))) | related(poset_of_lattice(B),A,C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1623,a,1555,d)]. 24.53/25.39 Derived: -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | -in(ordered_pair(A,B),the_InternalRel(c5)) | related(c5,A,B). [resolve(1623,a,1556,a)]. 24.53/25.39 Derived: -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | -in(ordered_pair(A,B),the_InternalRel(c16)) | related(c16,A,B). [resolve(1623,a,1592,a)]. 24.53/25.39 1624 -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | in(ordered_pair(B,C),the_InternalRel(A)) | -related(A,B,C) # label(d9_orders_2) # label(axiom). [clausify(568)]. 24.53/25.39 Derived: -element(A,the_carrier(rel_str_of(B,C))) | -element(D,the_carrier(rel_str_of(B,C))) | in(ordered_pair(A,D),the_InternalRel(rel_str_of(B,C))) | -related(rel_str_of(B,C),A,D) | -relation_of2(C,B,B). [resolve(1624,a,1554,b)]. 24.53/25.39 Derived: -element(A,the_carrier(poset_of_lattice(B))) | -element(C,the_carrier(poset_of_lattice(B))) | in(ordered_pair(A,C),the_InternalRel(poset_of_lattice(B))) | -related(poset_of_lattice(B),A,C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1624,a,1555,d)]. 24.53/25.39 Derived: -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | in(ordered_pair(A,B),the_InternalRel(c5)) | -related(c5,A,B). [resolve(1624,a,1556,a)]. 24.53/25.39 Derived: -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | in(ordered_pair(A,B),the_InternalRel(c16)) | -related(c16,A,B). [resolve(1624,a,1592,a)]. 24.53/25.39 1625 rel_str(c36) # label(existence_l1_orders_2) # label(axiom). [clausify(640)]. 24.53/25.39 Derived: relation_of2_as_subset(the_InternalRel(c36),the_carrier(c36),the_carrier(c36)). [resolve(1625,a,1553,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | element(f76(c36,B,A),the_carrier(c36)) | relstr_element_smaller(c36,B,A). [resolve(1625,a,1557,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | in(f76(c36,B,A),B) | relstr_element_smaller(c36,B,A). [resolve(1625,a,1558,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -related(c36,A,f76(c36,B,A)) | relstr_element_smaller(c36,B,A). [resolve(1625,a,1559,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | -in(B,C) | related(c36,A,B) | -relstr_element_smaller(c36,C,A). [resolve(1625,a,1560,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | element(f91(c36,B,A),the_carrier(c36)) | element(f92(c36,B,A),the_carrier(c36)) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1561,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | element(f91(c36,B,A),the_carrier(c36)) | relstr_set_smaller(c36,B,f92(c36,B,A)) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1562,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | element(f91(c36,B,A),the_carrier(c36)) | -element(C,the_carrier(c36)) | -relstr_set_smaller(c36,B,C) | related(c36,f92(c36,B,A),C) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1563,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | element(f91(c36,B,A),the_carrier(c36)) | f92(c36,B,A) != A | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1564,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | relstr_set_smaller(c36,B,f91(c36,B,A)) | element(f92(c36,B,A),the_carrier(c36)) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1565,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | relstr_set_smaller(c36,B,f91(c36,B,A)) | relstr_set_smaller(c36,B,f92(c36,B,A)) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1566,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | relstr_set_smaller(c36,B,f91(c36,B,A)) | -element(C,the_carrier(c36)) | -relstr_set_smaller(c36,B,C) | related(c36,f92(c36,B,A),C) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1567,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | relstr_set_smaller(c36,B,f91(c36,B,A)) | f92(c36,B,A) != A | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1568,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | -related(c36,A,f91(c36,B,A)) | element(f92(c36,B,A),the_carrier(c36)) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1569,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | -related(c36,A,f91(c36,B,A)) | relstr_set_smaller(c36,B,f92(c36,B,A)) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1570,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | -related(c36,A,f91(c36,B,A)) | -element(C,the_carrier(c36)) | -relstr_set_smaller(c36,B,C) | related(c36,f92(c36,B,A),C) | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1571,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | -related(c36,A,f91(c36,B,A)) | f92(c36,B,A) != A | ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1572,a)]. 24.53/25.42 Derived: element(f93(c36,A),the_carrier(c36)) | -ex_sup_of_relstr_set(c36,A). [resolve(1625,a,1573,a)]. 24.53/25.42 Derived: relstr_set_smaller(c36,A,f93(c36,A)) | -ex_sup_of_relstr_set(c36,A). [resolve(1625,a,1574,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | related(c36,f93(c36,B),A) | -ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1575,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | element(f94(c36,B,A),the_carrier(c36)) | A = f93(c36,B) | -ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1576,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | relstr_set_smaller(c36,B,f94(c36,B,A)) | A = f93(c36,B) | -ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1577,a)]. 24.53/25.42 Derived: -element(A,the_carrier(c36)) | -relstr_set_smaller(c36,B,A) | -related(c36,A,f94(c36,B,A)) | A = f93(c36,B) | -ex_sup_of_relstr_set(c36,B). [resolve(1625,a,1578,a)]. 24.53/25.42 Derived: -antisymmetric_relstr(c36) | -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | -related(c36,B,A) | -related(c36,A,B) | B = A. [resolve(1625,a,1579,a)]. 24.53/25.45 Derived: -element(A,the_carrier(c36)) | element(f126(c36,B,A),the_carrier(c36)) | relstr_set_smaller(c36,B,A). [resolve(1625,a,1580,a)]. 24.53/25.45 Derived: -element(A,the_carrier(c36)) | in(f126(c36,B,A),B) | relstr_set_smaller(c36,B,A). [resolve(1625,a,1581,a)]. 24.53/25.45 Derived: -element(A,the_carrier(c36)) | -related(c36,f126(c36,B,A),A) | relstr_set_smaller(c36,B,A). [resolve(1625,a,1582,a)]. 24.53/25.45 Derived: -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | -in(B,C) | related(c36,B,A) | -relstr_set_smaller(c36,C,A). [resolve(1625,a,1583,a)]. 24.53/25.45 Derived: -reflexive_relstr(c36) | -antisymmetric_relstr(c36) | -transitive_relstr(c36) | relation(the_InternalRel(c36)). [resolve(1625,a,1584,b)]. 24.53/25.45 Derived: -reflexive_relstr(c36) | -antisymmetric_relstr(c36) | -transitive_relstr(c36) | v1_partfun1(the_InternalRel(c36),the_carrier(c36),the_carrier(c36)). [resolve(1625,a,1585,b)]. 24.53/25.45 Derived: -reflexive_relstr(c36) | -antisymmetric_relstr(c36) | -transitive_relstr(c36) | transitive(the_InternalRel(c36)). [resolve(1625,a,1586,b)]. 24.53/25.45 Derived: -reflexive_relstr(c36) | -antisymmetric_relstr(c36) | -transitive_relstr(c36) | antisymmetric(the_InternalRel(c36)). [resolve(1625,a,1587,b)]. 24.53/25.45 Derived: -reflexive_relstr(c36) | -antisymmetric_relstr(c36) | -transitive_relstr(c36) | reflexive(the_InternalRel(c36)). [resolve(1625,a,1588,b)]. 24.53/25.45 Derived: -strict_rel_str(c36) | rel_str_of(the_carrier(c36),the_InternalRel(c36)) = c36. [resolve(1625,a,1589,a)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | is_antisymmetric_in(the_InternalRel(c36),the_carrier(c36)). [resolve(1625,a,1590,a)]. 24.53/25.45 Derived: antisymmetric_relstr(c36) | -is_antisymmetric_in(the_InternalRel(c36),the_carrier(c36)). [resolve(1625,a,1591,a)]. 24.53/25.45 Derived: -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | -reflexive_relstr(c36) | empty_carrier(c36) | related_reflexive(c36,A,A). [resolve(1625,a,1593,c)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | -ex_sup_of_relstr_set(c36,A) | element(f257(c36,A),the_carrier(c36)). [resolve(1625,a,1594,b)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | -ex_sup_of_relstr_set(c36,A) | relstr_set_smaller(c36,A,f257(c36,A)). [resolve(1625,a,1595,b)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | -ex_sup_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | -relstr_set_smaller(c36,A,B) | related(c36,f257(c36,A),B). [resolve(1625,a,1596,b)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | ex_sup_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | -relstr_set_smaller(c36,A,B) | element(f258(c36,A,B),the_carrier(c36)). [resolve(1625,a,1597,b)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | ex_sup_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | -relstr_set_smaller(c36,A,B) | relstr_set_smaller(c36,A,f258(c36,A,B)). [resolve(1625,a,1598,b)]. 24.53/25.45 Derived: -antisymmetric_relstr(c36) | ex_sup_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | -relstr_set_smaller(c36,A,B) | -related(c36,B,f258(c36,A,B)). [resolve(1625,a,1599,b)]. 24.53/25.45 Derived: -ex_inf_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | -relstr_element_smaller(c36,A,B) | related(c36,B,f271(c36,A)). [resolve(1625,a,1600,a)]. 24.53/25.45 Derived: -ex_inf_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | element(f272(c36,A,B),the_carrier(c36)) | -relstr_element_smaller(c36,A,B) | B = f271(c36,A). [resolve(1625,a,1601,a)]. 24.53/25.45 Derived: -ex_inf_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | relstr_element_smaller(c36,A,f272(c36,A,B)) | -relstr_element_smaller(c36,A,B) | B = f271(c36,A). [resolve(1625,a,1602,a)]. 24.53/25.45 Derived: -ex_inf_of_relstr_set(c36,A) | -element(B,the_carrier(c36)) | -related(c36,f272(c36,A,B),B) | -relstr_element_smaller(c36,A,B) | B = f271(c36,A). [resolve(1625,a,1603,a)]. 24.53/25.45 Derived: -ex_inf_of_relstr_set(c36,A) | relstr_element_smaller(c36,A,f271(c36,A)). [resolve(1625,a,1604,a)]. 24.53/25.45 Derived: -ex_inf_of_relstr_set(c36,A) | element(f271(c36,A),the_carrier(c36)). [resolve(1625,a,1605,a)]. 24.53/25.45 Derived: ex_inf_of_relstr_set(c36,A) | element(f273(c36,A,B),the_carrier(c36)) | element(f274(c36,A,B),the_carrier(c36)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1606,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | element(f273(c36,A,B),the_carrier(c36)) | -element(C,the_carrier(c36)) | -relstr_element_smaller(c36,A,C) | related(c36,C,f274(c36,A,B)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1607,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | element(f273(c36,A,B),the_carrier(c36)) | relstr_element_smaller(c36,A,f274(c36,A,B)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1608,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | element(f273(c36,A,B),the_carrier(c36)) | f274(c36,A,B) != B | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1609,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | relstr_element_smaller(c36,A,f273(c36,A,B)) | element(f274(c36,A,B),the_carrier(c36)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1610,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | relstr_element_smaller(c36,A,f273(c36,A,B)) | -element(C,the_carrier(c36)) | -relstr_element_smaller(c36,A,C) | related(c36,C,f274(c36,A,B)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1611,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | relstr_element_smaller(c36,A,f273(c36,A,B)) | relstr_element_smaller(c36,A,f274(c36,A,B)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1612,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | relstr_element_smaller(c36,A,f273(c36,A,B)) | f274(c36,A,B) != B | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1613,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | -related(c36,f273(c36,A,B),B) | element(f274(c36,A,B),the_carrier(c36)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1614,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | -related(c36,f273(c36,A,B),B) | -element(C,the_carrier(c36)) | -relstr_element_smaller(c36,A,C) | related(c36,C,f274(c36,A,B)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1615,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | -related(c36,f273(c36,A,B),B) | relstr_element_smaller(c36,A,f274(c36,A,B)) | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1616,a)]. 24.67/25.51 Derived: ex_inf_of_relstr_set(c36,A) | -related(c36,f273(c36,A,B),B) | f274(c36,A,B) != B | -relstr_element_smaller(c36,A,B) | -element(B,the_carrier(c36)). [resolve(1625,a,1617,a)]. 24.67/25.51 Derived: -element(A,the_carrier(c36)) | relstr_set_smaller(c36,empty_set,A). [resolve(1625,a,1618,a)]. 24.67/25.51 Derived: -element(A,the_carrier(c36)) | relstr_element_smaller(c36,empty_set,A). [resolve(1625,a,1619,a)]. 24.67/25.51 Derived: -transitive_relstr(c36) | -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | -element(C,the_carrier(c36)) | -related(c36,A,B) | -related(c36,B,C) | related(c36,A,C). [resolve(1625,a,1620,b)]. 24.67/25.51 Derived: -transitive_relstr(c36) | is_transitive_in(the_InternalRel(c36),the_carrier(c36)). [resolve(1625,a,1621,a)]. 24.67/25.51 Derived: transitive_relstr(c36) | -is_transitive_in(the_InternalRel(c36),the_carrier(c36)). [resolve(1625,a,1622,a)]. 24.67/25.51 Derived: -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | -in(ordered_pair(A,B),the_InternalRel(c36)) | related(c36,A,B). [resolve(1625,a,1623,a)]. 24.67/25.51 Derived: -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | in(ordered_pair(A,B),the_InternalRel(c36)) | -related(c36,A,B). [resolve(1625,a,1624,a)]. 24.67/25.51 1626 -reflexive_relstr(A) | -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | -related_reflexive(A,C,B) | related(A,C,B) # label(redefinition_r3_orders_2) # label(axiom). [clausify(659)]. 24.67/25.51 Derived: -reflexive_relstr(rel_str_of(A,B)) | -element(C,the_carrier(rel_str_of(A,B))) | -element(D,the_carrier(rel_str_of(A,B))) | empty_carrier(rel_str_of(A,B)) | -related_reflexive(rel_str_of(A,B),D,C) | related(rel_str_of(A,B),D,C) | -relation_of2(B,A,A). [resolve(1626,b,1554,b)]. 24.67/25.51 Derived: -reflexive_relstr(poset_of_lattice(A)) | -element(B,the_carrier(poset_of_lattice(A))) | -element(C,the_carrier(poset_of_lattice(A))) | empty_carrier(poset_of_lattice(A)) | -related_reflexive(poset_of_lattice(A),C,B) | related(poset_of_lattice(A),C,B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1626,b,1555,d)]. 24.72/25.55 Derived: -reflexive_relstr(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | empty_carrier(c5) | -related_reflexive(c5,B,A) | related(c5,B,A). [resolve(1626,b,1556,a)]. 24.72/25.55 Derived: -reflexive_relstr(c16) | -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | empty_carrier(c16) | -related_reflexive(c16,B,A) | related(c16,B,A). [resolve(1626,b,1592,a)]. 24.72/25.55 Derived: -reflexive_relstr(c36) | -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | empty_carrier(c36) | -related_reflexive(c36,B,A) | related(c36,B,A). [resolve(1626,b,1625,a)]. 24.72/25.55 1627 -reflexive_relstr(A) | -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | empty_carrier(A) | related_reflexive(A,C,B) | -related(A,C,B) # label(redefinition_r3_orders_2) # label(axiom). [clausify(659)]. 24.72/25.55 Derived: -reflexive_relstr(rel_str_of(A,B)) | -element(C,the_carrier(rel_str_of(A,B))) | -element(D,the_carrier(rel_str_of(A,B))) | empty_carrier(rel_str_of(A,B)) | related_reflexive(rel_str_of(A,B),D,C) | -related(rel_str_of(A,B),D,C) | -relation_of2(B,A,A). [resolve(1627,b,1554,b)]. 24.72/25.55 Derived: -reflexive_relstr(poset_of_lattice(A)) | -element(B,the_carrier(poset_of_lattice(A))) | -element(C,the_carrier(poset_of_lattice(A))) | empty_carrier(poset_of_lattice(A)) | related_reflexive(poset_of_lattice(A),C,B) | -related(poset_of_lattice(A),C,B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1627,b,1555,d)]. 24.72/25.55 Derived: -reflexive_relstr(c5) | -element(A,the_carrier(c5)) | -element(B,the_carrier(c5)) | empty_carrier(c5) | related_reflexive(c5,B,A) | -related(c5,B,A). [resolve(1627,b,1556,a)]. 24.72/25.55 Derived: -reflexive_relstr(c16) | -element(A,the_carrier(c16)) | -element(B,the_carrier(c16)) | empty_carrier(c16) | related_reflexive(c16,B,A) | -related(c16,B,A). [resolve(1627,b,1592,a)]. 24.72/25.55 Derived: -reflexive_relstr(c36) | -element(A,the_carrier(c36)) | -element(B,the_carrier(c36)) | empty_carrier(c36) | related_reflexive(c36,B,A) | -related(c36,B,A). [resolve(1627,b,1625,a)]. 24.72/25.55 1628 rel_str(c37) # label(t16_yellow_0) # label(negated_conjecture). [clausify(667)]. 24.72/25.55 Derived: relation_of2_as_subset(the_InternalRel(c37),the_carrier(c37),the_carrier(c37)). [resolve(1628,a,1553,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | element(f76(c37,B,A),the_carrier(c37)) | relstr_element_smaller(c37,B,A). [resolve(1628,a,1557,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | in(f76(c37,B,A),B) | relstr_element_smaller(c37,B,A). [resolve(1628,a,1558,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -related(c37,A,f76(c37,B,A)) | relstr_element_smaller(c37,B,A). [resolve(1628,a,1559,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | -in(B,C) | related(c37,A,B) | -relstr_element_smaller(c37,C,A). [resolve(1628,a,1560,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | element(f91(c37,B,A),the_carrier(c37)) | element(f92(c37,B,A),the_carrier(c37)) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1561,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | element(f91(c37,B,A),the_carrier(c37)) | relstr_set_smaller(c37,B,f92(c37,B,A)) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1562,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | element(f91(c37,B,A),the_carrier(c37)) | -element(C,the_carrier(c37)) | -relstr_set_smaller(c37,B,C) | related(c37,f92(c37,B,A),C) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1563,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | element(f91(c37,B,A),the_carrier(c37)) | f92(c37,B,A) != A | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1564,a)]. 24.72/25.55 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | relstr_set_smaller(c37,B,f91(c37,B,A)) | element(f92(c37,B,A),the_carrier(c37)) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1565,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | relstr_set_smaller(c37,B,f91(c37,B,A)) | relstr_set_smaller(c37,B,f92(c37,B,A)) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1566,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | relstr_set_smaller(c37,B,f91(c37,B,A)) | -element(C,the_carrier(c37)) | -relstr_set_smaller(c37,B,C) | related(c37,f92(c37,B,A),C) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1567,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | relstr_set_smaller(c37,B,f91(c37,B,A)) | f92(c37,B,A) != A | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1568,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | -related(c37,A,f91(c37,B,A)) | element(f92(c37,B,A),the_carrier(c37)) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1569,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | -related(c37,A,f91(c37,B,A)) | relstr_set_smaller(c37,B,f92(c37,B,A)) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1570,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | -related(c37,A,f91(c37,B,A)) | -element(C,the_carrier(c37)) | -relstr_set_smaller(c37,B,C) | related(c37,f92(c37,B,A),C) | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1571,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | -related(c37,A,f91(c37,B,A)) | f92(c37,B,A) != A | ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1572,a)]. 24.72/25.58 Derived: element(f93(c37,A),the_carrier(c37)) | -ex_sup_of_relstr_set(c37,A). [resolve(1628,a,1573,a)]. 24.72/25.58 Derived: relstr_set_smaller(c37,A,f93(c37,A)) | -ex_sup_of_relstr_set(c37,A). [resolve(1628,a,1574,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | related(c37,f93(c37,B),A) | -ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1575,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | element(f94(c37,B,A),the_carrier(c37)) | A = f93(c37,B) | -ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1576,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | relstr_set_smaller(c37,B,f94(c37,B,A)) | A = f93(c37,B) | -ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1577,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -relstr_set_smaller(c37,B,A) | -related(c37,A,f94(c37,B,A)) | A = f93(c37,B) | -ex_sup_of_relstr_set(c37,B). [resolve(1628,a,1578,a)]. 24.72/25.58 Derived: -antisymmetric_relstr(c37) | -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | -related(c37,B,A) | -related(c37,A,B) | B = A. [resolve(1628,a,1579,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | element(f126(c37,B,A),the_carrier(c37)) | relstr_set_smaller(c37,B,A). [resolve(1628,a,1580,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | in(f126(c37,B,A),B) | relstr_set_smaller(c37,B,A). [resolve(1628,a,1581,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -related(c37,f126(c37,B,A),A) | relstr_set_smaller(c37,B,A). [resolve(1628,a,1582,a)]. 24.72/25.58 Derived: -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | -in(B,C) | related(c37,B,A) | -relstr_set_smaller(c37,C,A). [resolve(1628,a,1583,a)]. 24.72/25.58 Derived: -reflexive_relstr(c37) | -antisymmetric_relstr(c37) | -transitive_relstr(c37) | relation(the_InternalRel(c37)). [resolve(1628,a,1584,b)]. 24.72/25.58 Derived: -reflexive_relstr(c37) | -antisymmetric_relstr(c37) | -transitive_relstr(c37) | v1_partfun1(the_InternalRel(c37),the_carrier(c37),the_carrier(c37)). [resolve(1628,a,1585,b)]. 24.72/25.58 Derived: -reflexive_relstr(c37) | -antisymmetric_relstr(c37) | -transitive_relstr(c37) | transitive(the_InternalRel(c37)). [resolve(1628,a,1586,b)]. 24.72/25.58 Derived: -reflexive_relstr(c37) | -antisymmetric_relstr(c37) | -transitive_relstr(c37) | antisymmetric(the_InternalRel(c37)). [resolve(1628,a,1587,b)]. 24.72/25.58 Derived: -reflexive_relstr(c37) | -antisymmetric_relstr(c37) | -transitive_relstr(c37) | reflexive(the_InternalRel(c37)). [resolve(1628,a,1588,b)]. 24.72/25.58 Derived: -strict_rel_str(c37) | rel_str_of(the_carrier(c37),the_InternalRel(c37)) = c37. [resolve(1628,a,1589,a)]. 24.72/25.58 Derived: -antisymmetric_relstr(c37) | is_antisymmetric_in(the_InternalRel(c37),the_carrier(c37)). [resolve(1628,a,1590,a)]. 24.72/25.62 Derived: -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | -reflexive_relstr(c37) | empty_carrier(c37) | related_reflexive(c37,A,A). [resolve(1628,a,1593,c)]. 24.72/25.62 Derived: -antisymmetric_relstr(c37) | -ex_sup_of_relstr_set(c37,A) | element(f257(c37,A),the_carrier(c37)). [resolve(1628,a,1594,b)]. 24.72/25.62 Derived: -antisymmetric_relstr(c37) | -ex_sup_of_relstr_set(c37,A) | relstr_set_smaller(c37,A,f257(c37,A)). [resolve(1628,a,1595,b)]. 24.72/25.62 Derived: -antisymmetric_relstr(c37) | -ex_sup_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | -relstr_set_smaller(c37,A,B) | related(c37,f257(c37,A),B). [resolve(1628,a,1596,b)]. 24.72/25.62 Derived: -antisymmetric_relstr(c37) | ex_sup_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | -relstr_set_smaller(c37,A,B) | element(f258(c37,A,B),the_carrier(c37)). [resolve(1628,a,1597,b)]. 24.72/25.62 Derived: -antisymmetric_relstr(c37) | ex_sup_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | -relstr_set_smaller(c37,A,B) | relstr_set_smaller(c37,A,f258(c37,A,B)). [resolve(1628,a,1598,b)]. 24.72/25.62 Derived: -antisymmetric_relstr(c37) | ex_sup_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | -relstr_set_smaller(c37,A,B) | -related(c37,B,f258(c37,A,B)). [resolve(1628,a,1599,b)]. 24.72/25.62 Derived: -ex_inf_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | -relstr_element_smaller(c37,A,B) | related(c37,B,f271(c37,A)). [resolve(1628,a,1600,a)]. 24.72/25.62 Derived: -ex_inf_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | element(f272(c37,A,B),the_carrier(c37)) | -relstr_element_smaller(c37,A,B) | B = f271(c37,A). [resolve(1628,a,1601,a)]. 24.72/25.62 Derived: -ex_inf_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | relstr_element_smaller(c37,A,f272(c37,A,B)) | -relstr_element_smaller(c37,A,B) | B = f271(c37,A). [resolve(1628,a,1602,a)]. 24.72/25.62 Derived: -ex_inf_of_relstr_set(c37,A) | -element(B,the_carrier(c37)) | -related(c37,f272(c37,A,B),B) | -relstr_element_smaller(c37,A,B) | B = f271(c37,A). [resolve(1628,a,1603,a)]. 24.72/25.62 Derived: -ex_inf_of_relstr_set(c37,A) | relstr_element_smaller(c37,A,f271(c37,A)). [resolve(1628,a,1604,a)]. 24.72/25.62 Derived: -ex_inf_of_relstr_set(c37,A) | element(f271(c37,A),the_carrier(c37)). [resolve(1628,a,1605,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | element(f273(c37,A,B),the_carrier(c37)) | element(f274(c37,A,B),the_carrier(c37)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1606,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | element(f273(c37,A,B),the_carrier(c37)) | -element(C,the_carrier(c37)) | -relstr_element_smaller(c37,A,C) | related(c37,C,f274(c37,A,B)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1607,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | element(f273(c37,A,B),the_carrier(c37)) | relstr_element_smaller(c37,A,f274(c37,A,B)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1608,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | element(f273(c37,A,B),the_carrier(c37)) | f274(c37,A,B) != B | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1609,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | relstr_element_smaller(c37,A,f273(c37,A,B)) | element(f274(c37,A,B),the_carrier(c37)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1610,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | relstr_element_smaller(c37,A,f273(c37,A,B)) | -element(C,the_carrier(c37)) | -relstr_element_smaller(c37,A,C) | related(c37,C,f274(c37,A,B)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1611,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | relstr_element_smaller(c37,A,f273(c37,A,B)) | relstr_element_smaller(c37,A,f274(c37,A,B)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1612,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | relstr_element_smaller(c37,A,f273(c37,A,B)) | f274(c37,A,B) != B | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1613,a)]. 24.72/25.62 Derived: ex_inf_of_relstr_set(c37,A) | -related(c37,f273(c37,A,B),B) | element(f274(c37,A,B),the_carrier(c37)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1614,a)]. 24.85/25.72 Derived: ex_inf_of_relstr_set(c37,A) | -related(c37,f273(c37,A,B),B) | -element(C,the_carrier(c37)) | -relstr_element_smaller(c37,A,C) | related(c37,C,f274(c37,A,B)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1615,a)]. 24.85/25.72 Derived: ex_inf_of_relstr_set(c37,A) | -related(c37,f273(c37,A,B),B) | relstr_element_smaller(c37,A,f274(c37,A,B)) | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1616,a)]. 24.85/25.72 Derived: ex_inf_of_relstr_set(c37,A) | -related(c37,f273(c37,A,B),B) | f274(c37,A,B) != B | -relstr_element_smaller(c37,A,B) | -element(B,the_carrier(c37)). [resolve(1628,a,1617,a)]. 24.85/25.72 Derived: -element(A,the_carrier(c37)) | relstr_set_smaller(c37,empty_set,A). [resolve(1628,a,1618,a)]. 24.85/25.72 Derived: -element(A,the_carrier(c37)) | relstr_element_smaller(c37,empty_set,A). [resolve(1628,a,1619,a)]. 24.85/25.72 Derived: -transitive_relstr(c37) | -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | -element(C,the_carrier(c37)) | -related(c37,A,B) | -related(c37,B,C) | related(c37,A,C). [resolve(1628,a,1620,b)]. 24.85/25.72 Derived: -transitive_relstr(c37) | is_transitive_in(the_InternalRel(c37),the_carrier(c37)). [resolve(1628,a,1621,a)]. 24.85/25.72 Derived: transitive_relstr(c37) | -is_transitive_in(the_InternalRel(c37),the_carrier(c37)). [resolve(1628,a,1622,a)]. 24.85/25.72 Derived: -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | -in(ordered_pair(A,B),the_InternalRel(c37)) | related(c37,A,B). [resolve(1628,a,1623,a)]. 24.85/25.72 Derived: -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | in(ordered_pair(A,B),the_InternalRel(c37)) | -related(c37,A,B). [resolve(1628,a,1624,a)]. 24.85/25.72 Derived: -reflexive_relstr(c37) | -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | empty_carrier(c37) | -related_reflexive(c37,B,A) | related(c37,B,A). [resolve(1628,a,1626,b)]. 24.85/25.72 Derived: -reflexive_relstr(c37) | -element(A,the_carrier(c37)) | -element(B,the_carrier(c37)) | empty_carrier(c37) | related_reflexive(c37,B,A) | -related(c37,B,A). [resolve(1628,a,1627,b)]. 24.85/25.72 1629 -rel_str(A) | cast_as_carrier_subset(A) = the_carrier(A). [resolve(751,b,669,a)]. 24.85/25.72 Derived: cast_as_carrier_subset(rel_str_of(A,B)) = the_carrier(rel_str_of(A,B)) | -relation_of2(B,A,A). [resolve(1629,a,1554,b)]. 24.85/25.72 Derived: cast_as_carrier_subset(poset_of_lattice(A)) = the_carrier(poset_of_lattice(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1629,a,1555,d)]. 24.85/25.72 Derived: cast_as_carrier_subset(c5) = the_carrier(c5). [resolve(1629,a,1556,a)]. 24.85/25.72 Derived: cast_as_carrier_subset(c16) = the_carrier(c16). [resolve(1629,a,1592,a)]. 24.85/25.72 Derived: cast_as_carrier_subset(c36) = the_carrier(c36). [resolve(1629,a,1625,a)]. 24.85/25.72 Derived: cast_as_carrier_subset(c37) = the_carrier(c37). [resolve(1629,a,1628,a)]. 24.85/25.72 1630 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,670,a)]. 24.85/25.72 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1630,a,1554,b)]. 24.85/25.72 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1630,a,1555,d)]. 24.85/25.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | relation(f60(c5,A)). [resolve(1630,a,1556,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | relation(f60(c16,A)). [resolve(1630,a,1592,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | relation(f60(c36,A)). [resolve(1630,a,1625,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | relation(f60(c37,A)). [resolve(1630,a,1628,a)]. 24.85/25.74 1631 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,671,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1631,a,1554,b)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1631,a,1555,d)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | relation_dom(f60(c5,A)) = A. [resolve(1631,a,1556,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | relation_dom(f60(c16,A)) = A. [resolve(1631,a,1592,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | relation_dom(f60(c36,A)) = A. [resolve(1631,a,1625,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | relation_dom(f60(c37,A)) = A. [resolve(1631,a,1628,a)]. 24.85/25.74 1632 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,672,a)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,A) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f60(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1632,a,1554,b)]. 24.85/25.74 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,A) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f60(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1632,a,1555,d)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f60(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1632,a,1556,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | -in(D,A) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f60(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1632,a,1592,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | -in(D,A) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f60(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1632,a,1625,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | -in(D,A) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f60(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1632,a,1628,a)]. 24.85/25.76 1633 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,673,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1633,a,1554,b)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1633,a,1555,d)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | function(f60(c5,A)). [resolve(1633,a,1556,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | function(f60(c16,A)). [resolve(1633,a,1592,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | function(f60(c36,A)). [resolve(1633,a,1625,a)]. 24.85/25.76 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | function(f60(c37,A)). [resolve(1633,a,1628,a)]. 24.95/25.78 1634 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,674,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1634,a,1554,b)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1634,a,1555,d)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | f59(c5,A,C) = f58(c5,A) | relation(f60(c5,A)). [resolve(1634,a,1556,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | f59(c16,A,C) = f58(c16,A) | relation(f60(c16,A)). [resolve(1634,a,1592,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | f59(c36,A,C) = f58(c36,A) | relation(f60(c36,A)). [resolve(1634,a,1625,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | f59(c37,A,C) = f58(c37,A) | relation(f60(c37,A)). [resolve(1634,a,1628,a)]. 24.95/25.78 1635 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,675,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1635,a,1554,b)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1635,a,1555,d)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | f59(c5,A,C) = f58(c5,A) | relation_dom(f60(c5,A)) = A. [resolve(1635,a,1556,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | f59(c16,A,C) = f58(c16,A) | relation_dom(f60(c16,A)) = A. [resolve(1635,a,1592,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | f59(c36,A,C) = f58(c36,A) | relation_dom(f60(c36,A)) = A. [resolve(1635,a,1625,a)]. 24.95/25.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | f59(c37,A,C) = f58(c37,A) | relation_dom(f60(c37,A)) = A. [resolve(1635,a,1628,a)]. 24.97/25.81 1636 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,676,a)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | -in(F,A) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f60(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1636,a,1554,b)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | -in(E,A) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f60(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1636,a,1555,d)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | f59(c5,A,C) = f58(c5,A) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f60(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1636,a,1556,a)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | f59(c16,A,C) = f58(c16,A) | -in(D,A) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f60(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1636,a,1592,a)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | f59(c36,A,C) = f58(c36,A) | -in(D,A) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f60(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1636,a,1625,a)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | f59(c37,A,C) = f58(c37,A) | -in(D,A) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f60(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1636,a,1628,a)]. 24.97/25.81 1637 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(751,b,677,a)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1637,a,1554,b)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1637,a,1555,d)]. 24.97/25.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | f59(c5,A,C) = f58(c5,A) | function(f60(c5,A)). [resolve(1637,a,1556,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | f59(c16,A,C) = f58(c16,A) | function(f60(c16,A)). [resolve(1637,a,1592,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | f59(c36,A,C) = f58(c36,A) | function(f60(c36,A)). [resolve(1637,a,1625,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | f59(c37,A,C) = f58(c37,A) | function(f60(c37,A)). [resolve(1637,a,1628,a)]. 24.98/25.83 1638 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(751,b,678,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1638,a,1554,b)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1638,a,1555,d)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | relation(f60(c5,A)). [resolve(1638,a,1556,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | relation(f60(c16,A)). [resolve(1638,a,1592,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | relation(f60(c36,A)). [resolve(1638,a,1625,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | relation(f60(c37,A)). [resolve(1638,a,1628,a)]. 24.98/25.83 1639 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(751,b,679,a)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1639,a,1554,b)]. 24.98/25.83 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1639,a,1555,d)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | relation_dom(f60(c5,A)) = A. [resolve(1639,a,1556,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | relation_dom(f60(c16,A)) = A. [resolve(1639,a,1592,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | relation_dom(f60(c36,A)) = A. [resolve(1639,a,1625,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | relation_dom(f60(c37,A)) = A. [resolve(1639,a,1628,a)]. 24.98/25.85 1640 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,680,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | -in(F,A) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f60(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1640,a,1554,b)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f60(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1640,a,1555,d)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f60(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1640,a,1556,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f60(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1640,a,1592,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f60(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1640,a,1625,a)]. 24.98/25.85 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f60(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1640,a,1628,a)]. 24.98/25.88 1641 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(751,b,681,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1641,a,1554,b)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1641,a,1555,d)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | function(f60(c5,A)). [resolve(1641,a,1556,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | function(f60(c16,A)). [resolve(1641,a,1592,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | function(f60(c36,A)). [resolve(1641,a,1625,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | function(f60(c37,A)). [resolve(1641,a,1628,a)]. 24.98/25.88 1642 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,682,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1642,a,1554,b)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1642,a,1555,d)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | in(f58(c5,A),A) | relation(f60(c5,A)). [resolve(1642,a,1556,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | in(f58(c16,A),A) | relation(f60(c16,A)). [resolve(1642,a,1592,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | in(f58(c36,A),A) | relation(f60(c36,A)). [resolve(1642,a,1625,a)]. 24.98/25.88 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | in(f58(c37,A),A) | relation(f60(c37,A)). [resolve(1642,a,1628,a)]. 25.07/25.90 1643 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,683,a)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1643,a,1554,b)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1643,a,1555,d)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | in(f58(c5,A),A) | relation_dom(f60(c5,A)) = A. [resolve(1643,a,1556,a)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | in(f58(c16,A),A) | relation_dom(f60(c16,A)) = A. [resolve(1643,a,1592,a)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | in(f58(c36,A),A) | relation_dom(f60(c36,A)) = A. [resolve(1643,a,1625,a)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | in(f58(c37,A),A) | relation_dom(f60(c37,A)) = A. [resolve(1643,a,1628,a)]. 25.07/25.90 1644 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,684,a)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1644,a,1554,b)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1644,a,1555,d)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | in(f58(c5,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1644,a,1556,a)]. 25.07/25.90 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | in(f58(c16,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1644,a,1592,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | in(f58(c36,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1644,a,1625,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | in(f58(c37,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1644,a,1628,a)]. 25.07/25.92 1645 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,685,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1645,a,1554,b)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1645,a,1555,d)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f56(c5,A) | in(f58(c5,A),A) | function(f60(c5,A)). [resolve(1645,a,1556,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f56(c16,A) | in(f58(c16,A),A) | function(f60(c16,A)). [resolve(1645,a,1592,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f56(c36,A) | in(f58(c36,A),A) | function(f60(c36,A)). [resolve(1645,a,1625,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f56(c37,A) | in(f58(c37,A),A) | function(f60(c37,A)). [resolve(1645,a,1628,a)]. 25.07/25.92 1646 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,686,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1646,a,1554,b)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1646,a,1555,d)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | relation(f60(c5,A)). [resolve(1646,a,1556,a)]. 25.07/25.92 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | relation(f60(c16,A)). [resolve(1646,a,1592,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | relation(f60(c36,A)). [resolve(1646,a,1625,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | relation(f60(c37,A)). [resolve(1646,a,1628,a)]. 25.07/25.95 1647 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,687,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1647,a,1554,b)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1647,a,1555,d)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | relation_dom(f60(c5,A)) = A. [resolve(1647,a,1556,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | relation_dom(f60(c16,A)) = A. [resolve(1647,a,1592,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | relation_dom(f60(c36,A)) = A. [resolve(1647,a,1625,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | relation_dom(f60(c37,A)) = A. [resolve(1647,a,1628,a)]. 25.07/25.95 1648 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,688,a)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,A) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f60(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1648,a,1554,b)]. 25.07/25.95 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,A) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f60(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1648,a,1555,d)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f60(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1648,a,1556,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | -in(D,A) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f60(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1648,a,1592,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | -in(D,A) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f60(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1648,a,1625,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | -in(D,A) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f60(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1648,a,1628,a)]. 25.07/25.97 1649 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | element(f59(A,B,D),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,689,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1649,a,1554,b)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1649,a,1555,d)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | element(f59(c5,A,C),powerset(the_carrier(c5))) | function(f60(c5,A)). [resolve(1649,a,1556,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | element(f59(c16,A,C),powerset(the_carrier(c16))) | function(f60(c16,A)). [resolve(1649,a,1592,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | element(f59(c36,A,C),powerset(the_carrier(c36))) | function(f60(c36,A)). [resolve(1649,a,1625,a)]. 25.07/25.97 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | element(f59(c37,A,C),powerset(the_carrier(c37))) | function(f60(c37,A)). [resolve(1649,a,1628,a)]. 25.07/25.97 1650 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,690,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1650,a,1554,b)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1650,a,1555,d)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | f59(c5,A,C) = f58(c5,A) | relation(f60(c5,A)). [resolve(1650,a,1556,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | f59(c16,A,C) = f58(c16,A) | relation(f60(c16,A)). [resolve(1650,a,1592,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | f59(c36,A,C) = f58(c36,A) | relation(f60(c36,A)). [resolve(1650,a,1625,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | f59(c37,A,C) = f58(c37,A) | relation(f60(c37,A)). [resolve(1650,a,1628,a)]. 25.15/25.99 1651 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,691,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1651,a,1554,b)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1651,a,1555,d)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | f59(c5,A,C) = f58(c5,A) | relation_dom(f60(c5,A)) = A. [resolve(1651,a,1556,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | f59(c16,A,C) = f58(c16,A) | relation_dom(f60(c16,A)) = A. [resolve(1651,a,1592,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | f59(c36,A,C) = f58(c36,A) | relation_dom(f60(c36,A)) = A. [resolve(1651,a,1625,a)]. 25.15/25.99 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | f59(c37,A,C) = f58(c37,A) | relation_dom(f60(c37,A)) = A. [resolve(1651,a,1628,a)]. 25.15/25.99 1652 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,692,a)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | -in(F,A) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f60(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1652,a,1554,b)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | -in(E,A) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f60(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1652,a,1555,d)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | f59(c5,A,C) = f58(c5,A) | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f60(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1652,a,1556,a)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | f59(c16,A,C) = f58(c16,A) | -in(D,A) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f60(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1652,a,1592,a)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | f59(c36,A,C) = f58(c36,A) | -in(D,A) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f60(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1652,a,1625,a)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | f59(c37,A,C) = f58(c37,A) | -in(D,A) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f60(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1652,a,1628,a)]. 25.15/26.02 1653 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | f59(A,B,D) = f58(A,B) | function(f60(A,B)). [resolve(751,b,693,a)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,E) = f58(rel_str_of(B,C),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1653,a,1554,b)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,D) = f58(poset_of_lattice(B),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1653,a,1555,d)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | f59(c5,A,C) = f58(c5,A) | function(f60(c5,A)). [resolve(1653,a,1556,a)]. 25.15/26.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | f59(c16,A,C) = f58(c16,A) | function(f60(c16,A)). [resolve(1653,a,1592,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | f59(c36,A,C) = f58(c36,A) | function(f60(c36,A)). [resolve(1653,a,1625,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | f59(c37,A,C) = f58(c37,A) | function(f60(c37,A)). [resolve(1653,a,1628,a)]. 25.15/26.04 1654 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation(f60(A,B)). [resolve(751,b,694,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1654,a,1554,b)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1654,a,1555,d)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | relation(f60(c5,A)). [resolve(1654,a,1556,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | relation(f60(c16,A)). [resolve(1654,a,1592,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | relation(f60(c36,A)). [resolve(1654,a,1625,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | relation(f60(c37,A)). [resolve(1654,a,1628,a)]. 25.15/26.04 1655 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | relation_dom(f60(A,B)) = B. [resolve(751,b,695,a)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1655,a,1554,b)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1655,a,1555,d)]. 25.15/26.04 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | relation_dom(f60(c5,A)) = A. [resolve(1655,a,1556,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | relation_dom(f60(c16,A)) = A. [resolve(1655,a,1592,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | relation_dom(f60(c36,A)) = A. [resolve(1655,a,1625,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | relation_dom(f60(c37,A)) = A. [resolve(1655,a,1628,a)]. 25.15/26.06 1656 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | -in(E,B) | -element(F,powerset(the_carrier(A))) | F != E | apply(f60(A,B),E) = subset_complement(the_carrier(A),F). [resolve(751,b,696,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | -in(F,A) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f60(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1656,a,1554,b)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f60(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1656,a,1555,d)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f60(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1656,a,1556,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f60(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1656,a,1592,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f60(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1656,a,1625,a)]. 25.15/26.06 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f60(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1656,a,1628,a)]. 25.15/26.06 1657 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | subset_complement(the_carrier(A),f59(A,B,D)) != D | function(f60(A,B)). [resolve(751,b,697,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,E)) != E | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1657,a,1554,b)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,D)) != D | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1657,a,1555,d)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,C)) != C | function(f60(c5,A)). [resolve(1657,a,1556,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,C)) != C | function(f60(c16,A)). [resolve(1657,a,1592,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,C)) != C | function(f60(c36,A)). [resolve(1657,a,1625,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,C)) != C | function(f60(c37,A)). [resolve(1657,a,1628,a)]. 25.25/26.09 1658 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,698,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1658,a,1554,b)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1658,a,1555,d)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | in(f58(c5,A),A) | relation(f60(c5,A)). [resolve(1658,a,1556,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | in(f58(c16,A),A) | relation(f60(c16,A)). [resolve(1658,a,1592,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | in(f58(c36,A),A) | relation(f60(c36,A)). [resolve(1658,a,1625,a)]. 25.25/26.09 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | in(f58(c37,A),A) | relation(f60(c37,A)). [resolve(1658,a,1628,a)]. 25.25/26.09 1659 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,699,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1659,a,1554,b)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1659,a,1555,d)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | in(f58(c5,A),A) | relation_dom(f60(c5,A)) = A. [resolve(1659,a,1556,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | in(f58(c16,A),A) | relation_dom(f60(c16,A)) = A. [resolve(1659,a,1592,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | in(f58(c36,A),A) | relation_dom(f60(c36,A)) = A. [resolve(1659,a,1625,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | in(f58(c37,A),A) | relation_dom(f60(c37,A)) = A. [resolve(1659,a,1628,a)]. 25.29/26.11 1660 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,700,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1660,a,1554,b)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1660,a,1555,d)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | in(f58(c5,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1660,a,1556,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | in(f58(c16,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1660,a,1592,a)]. 25.29/26.11 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | in(f58(c36,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1660,a,1625,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | in(f58(c37,A),A) | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1660,a,1628,a)]. 25.30/26.14 1661 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f55(A,B) | subset_complement(the_carrier(A),C) = f57(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,701,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f55(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f57(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1661,a,1554,b)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f55(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f57(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1661,a,1555,d)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f55(c5,A) | subset_complement(the_carrier(c5),B) = f57(c5,A) | in(f58(c5,A),A) | function(f60(c5,A)). [resolve(1661,a,1556,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f55(c16,A) | subset_complement(the_carrier(c16),B) = f57(c16,A) | in(f58(c16,A),A) | function(f60(c16,A)). [resolve(1661,a,1592,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f55(c36,A) | subset_complement(the_carrier(c36),B) = f57(c36,A) | in(f58(c36,A),A) | function(f60(c36,A)). [resolve(1661,a,1625,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f55(c37,A) | subset_complement(the_carrier(c37),B) = f57(c37,A) | in(f58(c37,A),A) | function(f60(c37,A)). [resolve(1661,a,1628,a)]. 25.30/26.14 1662 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,702,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1662,a,1554,b)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1662,a,1555,d)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | relation(f60(c5,A)). [resolve(1662,a,1556,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | relation(f60(c16,A)). [resolve(1662,a,1592,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | relation(f60(c36,A)). [resolve(1662,a,1625,a)]. 25.30/26.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | relation(f60(c37,A)). [resolve(1662,a,1628,a)]. 25.30/26.14 1663 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,703,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1663,a,1554,b)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1663,a,1555,d)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | relation_dom(f60(c5,A)) = A. [resolve(1663,a,1556,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | relation_dom(f60(c16,A)) = A. [resolve(1663,a,1592,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | relation_dom(f60(c36,A)) = A. [resolve(1663,a,1625,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | relation_dom(f60(c37,A)) = A. [resolve(1663,a,1628,a)]. 25.30/26.17 1664 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,704,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1664,a,1554,b)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1664,a,1555,d)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1664,a,1556,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1664,a,1592,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1664,a,1625,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1664,a,1628,a)]. 25.30/26.17 1665 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,705,a)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1665,a,1554,b)]. 25.30/26.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1665,a,1555,d)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | function(f60(c5,A)). [resolve(1665,a,1556,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | function(f60(c16,A)). [resolve(1665,a,1592,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | function(f60(c36,A)). [resolve(1665,a,1625,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | function(f60(c37,A)). [resolve(1665,a,1628,a)]. 25.30/26.20 1666 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,706,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1666,a,1554,b)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1666,a,1555,d)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | f59(c5,A,B) = f58(c5,A) | relation(f60(c5,A)). [resolve(1666,a,1556,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | f59(c16,A,B) = f58(c16,A) | relation(f60(c16,A)). [resolve(1666,a,1592,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | f59(c36,A,B) = f58(c36,A) | relation(f60(c36,A)). [resolve(1666,a,1625,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | f59(c37,A,B) = f58(c37,A) | relation(f60(c37,A)). [resolve(1666,a,1628,a)]. 25.30/26.20 1667 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,707,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1667,a,1554,b)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1667,a,1555,d)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | f59(c5,A,B) = f58(c5,A) | relation_dom(f60(c5,A)) = A. [resolve(1667,a,1556,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | f59(c16,A,B) = f58(c16,A) | relation_dom(f60(c16,A)) = A. [resolve(1667,a,1592,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | f59(c36,A,B) = f58(c36,A) | relation_dom(f60(c36,A)) = A. [resolve(1667,a,1625,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | f59(c37,A,B) = f58(c37,A) | relation_dom(f60(c37,A)) = A. [resolve(1667,a,1628,a)]. 25.30/26.20 1668 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,708,a)]. 25.30/26.20 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1668,a,1554,b)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1668,a,1555,d)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | f59(c5,A,B) = f58(c5,A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1668,a,1556,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | f59(c16,A,B) = f58(c16,A) | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1668,a,1592,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | f59(c36,A,B) = f58(c36,A) | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1668,a,1625,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | f59(c37,A,B) = f58(c37,A) | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1668,a,1628,a)]. 25.39/26.23 1669 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(751,b,709,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1669,a,1554,b)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1669,a,1555,d)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | f59(c5,A,B) = f58(c5,A) | function(f60(c5,A)). [resolve(1669,a,1556,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | f59(c16,A,B) = f58(c16,A) | function(f60(c16,A)). [resolve(1669,a,1592,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | f59(c36,A,B) = f58(c36,A) | function(f60(c36,A)). [resolve(1669,a,1625,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | f59(c37,A,B) = f58(c37,A) | function(f60(c37,A)). [resolve(1669,a,1628,a)]. 25.39/26.23 1670 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(751,b,710,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1670,a,1554,b)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1670,a,1555,d)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | relation(f60(c5,A)). [resolve(1670,a,1556,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | relation(f60(c16,A)). [resolve(1670,a,1592,a)]. 25.39/26.23 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | relation(f60(c36,A)). [resolve(1670,a,1625,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | relation(f60(c37,A)). [resolve(1670,a,1628,a)]. 25.39/26.25 1671 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(751,b,711,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1671,a,1554,b)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1671,a,1555,d)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | relation_dom(f60(c5,A)) = A. [resolve(1671,a,1556,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | relation_dom(f60(c16,A)) = A. [resolve(1671,a,1592,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | relation_dom(f60(c36,A)) = A. [resolve(1671,a,1625,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | relation_dom(f60(c37,A)) = A. [resolve(1671,a,1628,a)]. 25.39/26.25 1672 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,712,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1672,a,1554,b)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1672,a,1555,d)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1672,a,1556,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1672,a,1592,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1672,a,1625,a)]. 25.39/26.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1672,a,1628,a)]. 25.39/26.25 1673 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(751,b,713,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1673,a,1554,b)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1673,a,1555,d)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | function(f60(c5,A)). [resolve(1673,a,1556,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | function(f60(c16,A)). [resolve(1673,a,1592,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | function(f60(c36,A)). [resolve(1673,a,1625,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | function(f60(c37,A)). [resolve(1673,a,1628,a)]. 25.39/26.28 1674 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,714,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | in(f58(rel_str_of(B,C),A),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1674,a,1554,b)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | in(f58(poset_of_lattice(B),A),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1674,a,1555,d)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | in(f58(c5,A),A) | relation(f60(c5,A)). [resolve(1674,a,1556,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | in(f58(c16,A),A) | relation(f60(c16,A)). [resolve(1674,a,1592,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | in(f58(c36,A),A) | relation(f60(c36,A)). [resolve(1674,a,1625,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | in(f58(c37,A),A) | relation(f60(c37,A)). [resolve(1674,a,1628,a)]. 25.39/26.28 1675 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,715,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | in(f58(rel_str_of(B,C),A),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1675,a,1554,b)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | in(f58(poset_of_lattice(B),A),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1675,a,1555,d)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | in(f58(c5,A),A) | relation_dom(f60(c5,A)) = A. [resolve(1675,a,1556,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | in(f58(c16,A),A) | relation_dom(f60(c16,A)) = A. [resolve(1675,a,1592,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | in(f58(c36,A),A) | relation_dom(f60(c36,A)) = A. [resolve(1675,a,1625,a)]. 25.39/26.28 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | in(f58(c37,A),A) | relation_dom(f60(c37,A)) = A. [resolve(1675,a,1628,a)]. 25.39/26.28 1676 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(751,b,716,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | in(f58(rel_str_of(B,C),A),A) | -in(D,A) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != D | apply(f60(rel_str_of(B,C),A),D) = subset_complement(the_carrier(rel_str_of(B,C)),E) | -relation_of2(C,B,B). [resolve(1676,a,1554,b)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | in(f58(poset_of_lattice(B),A),A) | -in(C,A) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != C | apply(f60(poset_of_lattice(B),A),C) = subset_complement(the_carrier(poset_of_lattice(B)),D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1676,a,1555,d)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | in(f58(c5,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c5))) | C != B | apply(f60(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1676,a,1556,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | in(f58(c16,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c16))) | C != B | apply(f60(c16,A),B) = subset_complement(the_carrier(c16),C). [resolve(1676,a,1592,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | in(f58(c36,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c36))) | C != B | apply(f60(c36,A),B) = subset_complement(the_carrier(c36),C). [resolve(1676,a,1625,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | in(f58(c37,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c37))) | C != B | apply(f60(c37,A),B) = subset_complement(the_carrier(c37),C). [resolve(1676,a,1628,a)]. 25.47/26.31 1677 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f55(A,B),B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,717,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f55(rel_str_of(B,C),A),A) | in(f58(rel_str_of(B,C),A),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1677,a,1554,b)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f55(poset_of_lattice(B),A),A) | in(f58(poset_of_lattice(B),A),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1677,a,1555,d)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f55(c5,A),A) | in(f58(c5,A),A) | function(f60(c5,A)). [resolve(1677,a,1556,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f55(c16,A),A) | in(f58(c16,A),A) | function(f60(c16,A)). [resolve(1677,a,1592,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f55(c36,A),A) | in(f58(c36,A),A) | function(f60(c36,A)). [resolve(1677,a,1625,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f55(c37,A),A) | in(f58(c37,A),A) | function(f60(c37,A)). [resolve(1677,a,1628,a)]. 25.47/26.31 1678 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation(f60(A,B)). [resolve(751,b,718,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1678,a,1554,b)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1678,a,1555,d)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | relation(f60(c5,A)). [resolve(1678,a,1556,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | relation(f60(c16,A)). [resolve(1678,a,1592,a)]. 25.47/26.31 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | relation(f60(c36,A)). [resolve(1678,a,1625,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | relation(f60(c37,A)). [resolve(1678,a,1628,a)]. 25.47/26.34 1679 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | relation_dom(f60(A,B)) = B. [resolve(751,b,719,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1679,a,1554,b)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1679,a,1555,d)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | relation_dom(f60(c5,A)) = A. [resolve(1679,a,1556,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | relation_dom(f60(c16,A)) = A. [resolve(1679,a,1592,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | relation_dom(f60(c36,A)) = A. [resolve(1679,a,1625,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | relation_dom(f60(c37,A)) = A. [resolve(1679,a,1628,a)]. 25.47/26.34 1680 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,720,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1680,a,1554,b)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1680,a,1555,d)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1680,a,1556,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1680,a,1592,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1680,a,1625,a)]. 25.47/26.34 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1680,a,1628,a)]. 25.47/26.37 1681 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | element(f59(A,B,C),powerset(the_carrier(A))) | function(f60(A,B)). [resolve(751,b,721,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | element(f59(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1681,a,1554,b)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | element(f59(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1681,a,1555,d)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | element(f59(c5,A,B),powerset(the_carrier(c5))) | function(f60(c5,A)). [resolve(1681,a,1556,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | element(f59(c16,A,B),powerset(the_carrier(c16))) | function(f60(c16,A)). [resolve(1681,a,1592,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | element(f59(c36,A,B),powerset(the_carrier(c36))) | function(f60(c36,A)). [resolve(1681,a,1625,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | element(f59(c37,A,B),powerset(the_carrier(c37))) | function(f60(c37,A)). [resolve(1681,a,1628,a)]. 25.47/26.37 1682 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation(f60(A,B)). [resolve(751,b,722,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1682,a,1554,b)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1682,a,1555,d)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | f59(c5,A,B) = f58(c5,A) | relation(f60(c5,A)). [resolve(1682,a,1556,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | f59(c16,A,B) = f58(c16,A) | relation(f60(c16,A)). [resolve(1682,a,1592,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | f59(c36,A,B) = f58(c36,A) | relation(f60(c36,A)). [resolve(1682,a,1625,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | f59(c37,A,B) = f58(c37,A) | relation(f60(c37,A)). [resolve(1682,a,1628,a)]. 25.47/26.37 1683 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | relation_dom(f60(A,B)) = B. [resolve(751,b,723,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1683,a,1554,b)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1683,a,1555,d)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | f59(c5,A,B) = f58(c5,A) | relation_dom(f60(c5,A)) = A. [resolve(1683,a,1556,a)]. 25.47/26.37 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | f59(c16,A,B) = f58(c16,A) | relation_dom(f60(c16,A)) = A. [resolve(1683,a,1592,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | f59(c36,A,B) = f58(c36,A) | relation_dom(f60(c36,A)) = A. [resolve(1683,a,1625,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | f59(c37,A,B) = f58(c37,A) | relation_dom(f60(c37,A)) = A. [resolve(1683,a,1628,a)]. 25.55/26.40 1684 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,724,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1684,a,1554,b)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1684,a,1555,d)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | f59(c5,A,B) = f58(c5,A) | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1684,a,1556,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | f59(c16,A,B) = f58(c16,A) | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1684,a,1592,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | f59(c36,A,B) = f58(c36,A) | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1684,a,1625,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | f59(c37,A,B) = f58(c37,A) | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1684,a,1628,a)]. 25.55/26.40 1685 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | f59(A,B,C) = f58(A,B) | function(f60(A,B)). [resolve(751,b,725,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | f59(rel_str_of(B,C),A,D) = f58(rel_str_of(B,C),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1685,a,1554,b)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | f59(poset_of_lattice(B),A,C) = f58(poset_of_lattice(B),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1685,a,1555,d)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | f59(c5,A,B) = f58(c5,A) | function(f60(c5,A)). [resolve(1685,a,1556,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | f59(c16,A,B) = f58(c16,A) | function(f60(c16,A)). [resolve(1685,a,1592,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | f59(c36,A,B) = f58(c36,A) | function(f60(c36,A)). [resolve(1685,a,1625,a)]. 25.55/26.40 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | f59(c37,A,B) = f58(c37,A) | function(f60(c37,A)). [resolve(1685,a,1628,a)]. 25.55/26.40 1686 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation(f60(A,B)). [resolve(751,b,726,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1686,a,1554,b)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1686,a,1555,d)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | relation(f60(c5,A)). [resolve(1686,a,1556,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | relation(f60(c16,A)). [resolve(1686,a,1592,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | relation(f60(c36,A)). [resolve(1686,a,1625,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | relation(f60(c37,A)). [resolve(1686,a,1628,a)]. 25.55/26.42 1687 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | relation_dom(f60(A,B)) = B. [resolve(751,b,727,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1687,a,1554,b)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1687,a,1555,d)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | relation_dom(f60(c5,A)) = A. [resolve(1687,a,1556,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | relation_dom(f60(c16,A)) = A. [resolve(1687,a,1592,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | relation_dom(f60(c36,A)) = A. [resolve(1687,a,1625,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | relation_dom(f60(c37,A)) = A. [resolve(1687,a,1628,a)]. 25.55/26.42 1688 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | -in(D,B) | -element(E,powerset(the_carrier(A))) | E != D | apply(f60(A,B),D) = subset_complement(the_carrier(A),E). [resolve(751,b,728,a)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | -in(E,A) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f60(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1688,a,1554,b)]. 25.55/26.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | -in(D,A) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f60(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1688,a,1555,d)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f60(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1688,a,1556,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f60(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1688,a,1592,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f60(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1688,a,1625,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | -in(C,A) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f60(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1688,a,1628,a)]. 25.55/26.45 1689 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | subset_complement(the_carrier(A),f59(A,B,C)) != C | function(f60(A,B)). [resolve(751,b,729,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f59(rel_str_of(B,C),A,D)) != D | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1689,a,1554,b)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f59(poset_of_lattice(B),A,C)) != C | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1689,a,1555,d)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | subset_complement(the_carrier(c5),f59(c5,A,B)) != B | function(f60(c5,A)). [resolve(1689,a,1556,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | subset_complement(the_carrier(c16),f59(c16,A,B)) != B | function(f60(c16,A)). [resolve(1689,a,1592,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | subset_complement(the_carrier(c36),f59(c36,A,B)) != B | function(f60(c36,A)). [resolve(1689,a,1625,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | subset_complement(the_carrier(c37),f59(c37,A,B)) != B | function(f60(c37,A)). [resolve(1689,a,1628,a)]. 25.55/26.45 1690 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation(f60(A,B)). [resolve(751,b,730,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | relation(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1690,a,1554,b)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | relation(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1690,a,1555,d)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | in(f58(c5,A),A) | relation(f60(c5,A)). [resolve(1690,a,1556,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | in(f58(c16,A),A) | relation(f60(c16,A)). [resolve(1690,a,1592,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | in(f58(c36,A),A) | relation(f60(c36,A)). [resolve(1690,a,1625,a)]. 25.55/26.45 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | in(f58(c37,A),A) | relation(f60(c37,A)). [resolve(1690,a,1628,a)]. 25.65/26.48 1691 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | relation_dom(f60(A,B)) = B. [resolve(751,b,731,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | relation_dom(f60(rel_str_of(B,C),A)) = A | -relation_of2(C,B,B). [resolve(1691,a,1554,b)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | relation_dom(f60(poset_of_lattice(B),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1691,a,1555,d)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | in(f58(c5,A),A) | relation_dom(f60(c5,A)) = A. [resolve(1691,a,1556,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | in(f58(c16,A),A) | relation_dom(f60(c16,A)) = A. [resolve(1691,a,1592,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | in(f58(c36,A),A) | relation_dom(f60(c36,A)) = A. [resolve(1691,a,1625,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | in(f58(c37,A),A) | relation_dom(f60(c37,A)) = A. [resolve(1691,a,1628,a)]. 25.65/26.48 1692 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | -in(C,B) | -element(D,powerset(the_carrier(A))) | D != C | apply(f60(A,B),C) = subset_complement(the_carrier(A),D). [resolve(751,b,732,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | -in(D,A) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != D | apply(f60(rel_str_of(B,C),A),D) = subset_complement(the_carrier(rel_str_of(B,C)),E) | -relation_of2(C,B,B). [resolve(1692,a,1554,b)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | -in(C,A) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != C | apply(f60(poset_of_lattice(B),A),C) = subset_complement(the_carrier(poset_of_lattice(B)),D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1692,a,1555,d)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | in(f58(c5,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c5))) | C != B | apply(f60(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1692,a,1556,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | in(f58(c16,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c16))) | C != B | apply(f60(c16,A),B) = subset_complement(the_carrier(c16),C). [resolve(1692,a,1592,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | in(f58(c36,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c36))) | C != B | apply(f60(c36,A),B) = subset_complement(the_carrier(c36),C). [resolve(1692,a,1625,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | in(f58(c37,A),A) | -in(B,A) | -element(C,powerset(the_carrier(c37))) | C != B | apply(f60(c37,A),B) = subset_complement(the_carrier(c37),C). [resolve(1692,a,1628,a)]. 25.65/26.48 1693 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f57(A,B) != f56(A,B) | in(f58(A,B),B) | function(f60(A,B)). [resolve(751,b,733,a)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f57(rel_str_of(B,C),A) != f56(rel_str_of(B,C),A) | in(f58(rel_str_of(B,C),A),A) | function(f60(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1693,a,1554,b)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f57(poset_of_lattice(B),A) != f56(poset_of_lattice(B),A) | in(f58(poset_of_lattice(B),A),A) | function(f60(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1693,a,1555,d)]. 25.65/26.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f57(c5,A) != f56(c5,A) | in(f58(c5,A),A) | function(f60(c5,A)). [resolve(1693,a,1556,a)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f57(c16,A) != f56(c16,A) | in(f58(c16,A),A) | function(f60(c16,A)). [resolve(1693,a,1592,a)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f57(c36,A) != f56(c36,A) | in(f58(c36,A),A) | function(f60(c36,A)). [resolve(1693,a,1625,a)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f57(c37,A) != f56(c37,A) | in(f58(c37,A),A) | function(f60(c37,A)). [resolve(1693,a,1628,a)]. 25.66/26.51 1694 -rel_str(A) | -element(B,powerset(the_carrier(A))) | subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B). [resolve(751,b,734,a)]. 25.66/26.51 Derived: -element(A,powerset(the_carrier(rel_str_of(B,C)))) | subset_complement(the_carrier(rel_str_of(B,C)),A) = subset_difference(the_carrier(rel_str_of(B,C)),cast_as_carrier_subset(rel_str_of(B,C)),A) | -relation_of2(C,B,B). [resolve(1694,a,1554,b)]. 25.66/26.51 Derived: -element(A,powerset(the_carrier(poset_of_lattice(B)))) | subset_complement(the_carrier(poset_of_lattice(B)),A) = subset_difference(the_carrier(poset_of_lattice(B)),cast_as_carrier_subset(poset_of_lattice(B)),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1694,a,1555,d)]. 25.66/26.51 Derived: -element(A,powerset(the_carrier(c5))) | subset_complement(the_carrier(c5),A) = subset_difference(the_carrier(c5),cast_as_carrier_subset(c5),A). [resolve(1694,a,1556,a)]. 25.66/26.51 Derived: -element(A,powerset(the_carrier(c16))) | subset_complement(the_carrier(c16),A) = subset_difference(the_carrier(c16),cast_as_carrier_subset(c16),A). [resolve(1694,a,1592,a)]. 25.66/26.51 Derived: -element(A,powerset(the_carrier(c36))) | subset_complement(the_carrier(c36),A) = subset_difference(the_carrier(c36),cast_as_carrier_subset(c36),A). [resolve(1694,a,1625,a)]. 25.66/26.51 Derived: -element(A,powerset(the_carrier(c37))) | subset_complement(the_carrier(c37),A) = subset_difference(the_carrier(c37),cast_as_carrier_subset(c37),A). [resolve(1694,a,1628,a)]. 25.66/26.51 1695 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | ordered_pair(f81(A,B,D,C),f82(A,B,D,C)) = C. [resolve(751,b,735,b)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -in(D,f80(rel_str_of(B,C),A,E)) | ordered_pair(f81(rel_str_of(B,C),A,E,D),f82(rel_str_of(B,C),A,E,D)) = D | -relation_of2(C,B,B). [resolve(1695,a,1554,b)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -in(C,f80(poset_of_lattice(B),A,D)) | ordered_pair(f81(poset_of_lattice(B),A,D,C),f82(poset_of_lattice(B),A,D,C)) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1695,a,1555,d)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f80(c5,A,C)) | ordered_pair(f81(c5,A,C,B),f82(c5,A,C,B)) = B. [resolve(1695,a,1556,a)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -in(B,f80(c16,A,C)) | ordered_pair(f81(c16,A,C,B),f82(c16,A,C,B)) = B. [resolve(1695,a,1592,a)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -in(B,f80(c36,A,C)) | ordered_pair(f81(c36,A,C,B),f82(c36,A,C,B)) = B. [resolve(1695,a,1625,a)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -in(B,f80(c37,A,C)) | ordered_pair(f81(c37,A,C,B),f82(c37,A,C,B)) = B. [resolve(1695,a,1628,a)]. 25.66/26.51 1696 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | -element(E,powerset(the_carrier(A))) | E != f81(A,B,D,C) | subset_complement(the_carrier(A),E) = f82(A,B,D,C). [resolve(751,b,736,b)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -in(D,f80(rel_str_of(B,C),A,E)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f81(rel_str_of(B,C),A,E,D) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f82(rel_str_of(B,C),A,E,D) | -relation_of2(C,B,B). [resolve(1696,a,1554,b)]. 25.66/26.51 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -in(C,f80(poset_of_lattice(B),A,D)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f81(poset_of_lattice(B),A,D,C) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f82(poset_of_lattice(B),A,D,C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1696,a,1555,d)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f80(c5,A,C)) | -element(D,powerset(the_carrier(c5))) | D != f81(c5,A,C,B) | subset_complement(the_carrier(c5),D) = f82(c5,A,C,B). [resolve(1696,a,1556,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -in(B,f80(c16,A,C)) | -element(D,powerset(the_carrier(c16))) | D != f81(c16,A,C,B) | subset_complement(the_carrier(c16),D) = f82(c16,A,C,B). [resolve(1696,a,1592,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -in(B,f80(c36,A,C)) | -element(D,powerset(the_carrier(c36))) | D != f81(c36,A,C,B) | subset_complement(the_carrier(c36),D) = f82(c36,A,C,B). [resolve(1696,a,1625,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -in(B,f80(c37,A,C)) | -element(D,powerset(the_carrier(c37))) | D != f81(c37,A,C,B) | subset_complement(the_carrier(c37),D) = f82(c37,A,C,B). [resolve(1696,a,1628,a)]. 25.69/26.55 1697 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(f81(A,B,D,C),B). [resolve(751,b,737,b)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -in(D,f80(rel_str_of(B,C),A,E)) | in(f81(rel_str_of(B,C),A,E,D),A) | -relation_of2(C,B,B). [resolve(1697,a,1554,b)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -in(C,f80(poset_of_lattice(B),A,D)) | in(f81(poset_of_lattice(B),A,D,C),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1697,a,1555,d)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f80(c5,A,C)) | in(f81(c5,A,C,B),A). [resolve(1697,a,1556,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -in(B,f80(c16,A,C)) | in(f81(c16,A,C,B),A). [resolve(1697,a,1592,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -in(B,f80(c36,A,C)) | in(f81(c36,A,C,B),A). [resolve(1697,a,1625,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -in(B,f80(c37,A,C)) | in(f81(c37,A,C,B),A). [resolve(1697,a,1628,a)]. 25.69/26.55 1698 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(C,f80(A,B,D)) | in(C,cartesian_product2(B,D)). [resolve(751,b,738,b)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -in(D,f80(rel_str_of(B,C),A,E)) | in(D,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1698,a,1554,b)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -in(C,f80(poset_of_lattice(B),A,D)) | in(C,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1698,a,1555,d)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -in(B,f80(c5,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1698,a,1556,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -in(B,f80(c16,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1698,a,1592,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -in(B,f80(c36,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1698,a,1625,a)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -in(B,f80(c37,A,C)) | in(B,cartesian_product2(A,C)). [resolve(1698,a,1628,a)]. 25.69/26.55 1699 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | element(f83(A,B,D,C,E,F),powerset(the_carrier(A))) | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(751,b,739,b)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(D,f80(rel_str_of(B,C),A,E)) | ordered_pair(F,V6) != D | element(f83(rel_str_of(B,C),A,E,D,F,V6),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,A) | -in(D,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1699,a,1554,b)]. 25.69/26.55 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(C,f80(poset_of_lattice(B),A,D)) | ordered_pair(E,F) != C | element(f83(poset_of_lattice(B),A,D,C,E,F),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1699,a,1555,d)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,f80(c5,A,C)) | ordered_pair(D,E) != B | element(f83(c5,A,C,B,D,E),powerset(the_carrier(c5))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1699,a,1556,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(B,f80(c16,A,C)) | ordered_pair(D,E) != B | element(f83(c16,A,C,B,D,E),powerset(the_carrier(c16))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1699,a,1592,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(B,f80(c36,A,C)) | ordered_pair(D,E) != B | element(f83(c36,A,C,B,D,E),powerset(the_carrier(c36))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1699,a,1625,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(B,f80(c37,A,C)) | ordered_pair(D,E) != B | element(f83(c37,A,C,B,D,E),powerset(the_carrier(c37))) | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1699,a,1628,a)]. 25.69/26.57 1700 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | f83(A,B,D,C,E,F) = E | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(751,b,740,b)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(D,f80(rel_str_of(B,C),A,E)) | ordered_pair(F,V6) != D | f83(rel_str_of(B,C),A,E,D,F,V6) = F | -in(F,A) | -in(D,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1700,a,1554,b)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(C,f80(poset_of_lattice(B),A,D)) | ordered_pair(E,F) != C | f83(poset_of_lattice(B),A,D,C,E,F) = E | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1700,a,1555,d)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,f80(c5,A,C)) | ordered_pair(D,E) != B | f83(c5,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1700,a,1556,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(B,f80(c16,A,C)) | ordered_pair(D,E) != B | f83(c16,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1700,a,1592,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(B,f80(c36,A,C)) | ordered_pair(D,E) != B | f83(c36,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1700,a,1625,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(B,f80(c37,A,C)) | ordered_pair(D,E) != B | f83(c37,A,C,B,D,E) = D | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1700,a,1628,a)]. 25.69/26.57 1701 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,f80(A,B,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(A),f83(A,B,D,C,E,F)) != F | -in(E,B) | -in(C,cartesian_product2(B,D)). [resolve(751,b,741,b)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(D,f80(rel_str_of(B,C),A,E)) | ordered_pair(F,V6) != D | subset_complement(the_carrier(rel_str_of(B,C)),f83(rel_str_of(B,C),A,E,D,F,V6)) != V6 | -in(F,A) | -in(D,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1701,a,1554,b)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(C,f80(poset_of_lattice(B),A,D)) | ordered_pair(E,F) != C | subset_complement(the_carrier(poset_of_lattice(B)),f83(poset_of_lattice(B),A,D,C,E,F)) != F | -in(E,A) | -in(C,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1701,a,1555,d)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,f80(c5,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c5),f83(c5,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1701,a,1556,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(B,f80(c16,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c16),f83(c16,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1701,a,1592,a)]. 25.69/26.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(B,f80(c36,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c36),f83(c36,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1701,a,1625,a)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(B,f80(c37,A,C)) | ordered_pair(D,E) != B | subset_complement(the_carrier(c37),f83(c37,A,C,B,D,E)) != E | -in(D,A) | -in(B,cartesian_product2(A,C)). [resolve(1701,a,1628,a)]. 25.77/26.60 1702 -rel_str(A) | -empty(the_carrier(A)) | empty_carrier(A). [resolve(751,b,742,a)]. 25.77/26.60 Derived: -empty(the_carrier(rel_str_of(A,B))) | empty_carrier(rel_str_of(A,B)) | -relation_of2(B,A,A). [resolve(1702,a,1554,b)]. 25.77/26.60 Derived: -empty(the_carrier(poset_of_lattice(A))) | empty_carrier(poset_of_lattice(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1702,a,1555,d)]. 25.77/26.60 Derived: -empty(the_carrier(c5)) | empty_carrier(c5). [resolve(1702,a,1556,a)]. 25.77/26.60 Derived: -empty(the_carrier(c16)) | empty_carrier(c16). [resolve(1702,a,1592,a)]. 25.77/26.60 Derived: -empty(the_carrier(c36)) | empty_carrier(c36). [resolve(1702,a,1625,a)]. 25.77/26.60 Derived: -empty(the_carrier(c37)) | empty_carrier(c37). [resolve(1702,a,1628,a)]. 25.77/26.60 1703 -rel_str(A) | empty(the_carrier(A)) | -empty_carrier(A). [resolve(751,b,743,a)]. 25.77/26.60 Derived: empty(the_carrier(rel_str_of(A,B))) | -empty_carrier(rel_str_of(A,B)) | -relation_of2(B,A,A). [resolve(1703,a,1554,b)]. 25.77/26.60 Derived: empty(the_carrier(poset_of_lattice(A))) | -empty_carrier(poset_of_lattice(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1703,a,1555,d)]. 25.77/26.60 Derived: empty(the_carrier(c5)) | -empty_carrier(c5). [resolve(1703,a,1556,a)]. 25.77/26.60 Derived: empty(the_carrier(c16)) | -empty_carrier(c16). [resolve(1703,a,1592,a)]. 25.77/26.60 Derived: empty(the_carrier(c36)) | -empty_carrier(c36). [resolve(1703,a,1625,a)]. 25.77/26.60 Derived: empty(the_carrier(c37)) | -empty_carrier(c37). [resolve(1703,a,1628,a)]. 25.77/26.60 1704 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | element(f139(A,B,F,E,C,D),powerset(the_carrier(A))) | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(751,b,744,a)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(D,E) != F | element(f139(rel_str_of(B,C),A,V6,F,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),V6)) | in(F,f138(rel_str_of(B,C),A,V6)) | -relation_of2(C,B,B). [resolve(1704,a,1554,b)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(C,D) != E | element(f139(poset_of_lattice(B),A,F,E,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),F)) | in(E,f138(poset_of_lattice(B),A,F)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1704,a,1555,d)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(B,C) != D | element(f139(c5,A,E,D,B,C),powerset(the_carrier(c5))) | -in(B,complements_of_subsets(the_carrier(c5),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),E)) | in(D,f138(c5,A,E)). [resolve(1704,a,1556,a)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(B,C) != D | element(f139(c16,A,E,D,B,C),powerset(the_carrier(c16))) | -in(B,complements_of_subsets(the_carrier(c16),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c16),A),E)) | in(D,f138(c16,A,E)). [resolve(1704,a,1592,a)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(B,C) != D | element(f139(c36,A,E,D,B,C),powerset(the_carrier(c36))) | -in(B,complements_of_subsets(the_carrier(c36),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c36),A),E)) | in(D,f138(c36,A,E)). [resolve(1704,a,1625,a)]. 25.77/26.60 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(B,C) != D | element(f139(c37,A,E,D,B,C),powerset(the_carrier(c37))) | -in(B,complements_of_subsets(the_carrier(c37),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c37),A),E)) | in(D,f138(c37,A,E)). [resolve(1704,a,1628,a)]. 25.77/26.62 1705 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | f139(A,B,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(751,b,745,a)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(D,E) != F | f139(rel_str_of(B,C),A,V6,F,D,E) = D | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),V6)) | in(F,f138(rel_str_of(B,C),A,V6)) | -relation_of2(C,B,B). [resolve(1705,a,1554,b)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(C,D) != E | f139(poset_of_lattice(B),A,F,E,C,D) = C | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),F)) | in(E,f138(poset_of_lattice(B),A,F)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1705,a,1555,d)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(B,C) != D | f139(c5,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c5),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),E)) | in(D,f138(c5,A,E)). [resolve(1705,a,1556,a)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(B,C) != D | f139(c16,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c16),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c16),A),E)) | in(D,f138(c16,A,E)). [resolve(1705,a,1592,a)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(B,C) != D | f139(c36,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c36),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c36),A),E)) | in(D,f138(c36,A,E)). [resolve(1705,a,1625,a)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(B,C) != D | f139(c37,A,E,D,B,C) = B | -in(B,complements_of_subsets(the_carrier(c37),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c37),A),E)) | in(D,f138(c37,A,E)). [resolve(1705,a,1628,a)]. 25.77/26.62 1706 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(C,D) != E | subset_complement(the_carrier(A),f139(A,B,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(A),B)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),F)) | in(E,f138(A,B,F)). [resolve(751,b,746,a)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(D,E) != F | subset_complement(the_carrier(rel_str_of(B,C)),f139(rel_str_of(B,C),A,V6,F,D,E)) != E | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(F,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),V6)) | in(F,f138(rel_str_of(B,C),A,V6)) | -relation_of2(C,B,B). [resolve(1706,a,1554,b)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(C,D) != E | subset_complement(the_carrier(poset_of_lattice(B)),f139(poset_of_lattice(B),A,F,E,C,D)) != D | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(E,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),F)) | in(E,f138(poset_of_lattice(B),A,F)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1706,a,1555,d)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c5),f139(c5,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c5),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c5),A),E)) | in(D,f138(c5,A,E)). [resolve(1706,a,1556,a)]. 25.77/26.62 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c16),f139(c16,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c16),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c16),A),E)) | in(D,f138(c16,A,E)). [resolve(1706,a,1592,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c36),f139(c36,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c36),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c36),A),E)) | in(D,f138(c36,A,E)). [resolve(1706,a,1625,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(B,C) != D | subset_complement(the_carrier(c37),f139(c37,A,E,D,B,C)) != C | -in(B,complements_of_subsets(the_carrier(c37),A)) | -in(D,cartesian_product2(complements_of_subsets(the_carrier(c37),A),E)) | in(D,f138(c37,A,E)). [resolve(1706,a,1628,a)]. 25.77/26.65 1707 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | ordered_pair(f140(A,B,C,D),f141(A,B,C,D)) = D | -in(D,f138(A,B,C)). [resolve(751,b,747,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f140(rel_str_of(B,C),A,D,E),f141(rel_str_of(B,C),A,D,E)) = E | -in(E,f138(rel_str_of(B,C),A,D)) | -relation_of2(C,B,B). [resolve(1707,a,1554,b)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f140(poset_of_lattice(B),A,C,D),f141(poset_of_lattice(B),A,C,D)) = D | -in(D,f138(poset_of_lattice(B),A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1707,a,1555,d)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f140(c5,A,B,C),f141(c5,A,B,C)) = C | -in(C,f138(c5,A,B)). [resolve(1707,a,1556,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f140(c16,A,B,C),f141(c16,A,B,C)) = C | -in(C,f138(c16,A,B)). [resolve(1707,a,1592,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f140(c36,A,B,C),f141(c36,A,B,C)) = C | -in(C,f138(c36,A,B)). [resolve(1707,a,1625,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f140(c37,A,B,C),f141(c37,A,B,C)) = C | -in(C,f138(c37,A,B)). [resolve(1707,a,1628,a)]. 25.77/26.65 1708 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | C != f140(A,B,D,E) | subset_complement(the_carrier(A),C) = f141(A,B,D,E) | -in(E,f138(A,B,D)). [resolve(751,b,748,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f140(rel_str_of(B,C),A,E,F) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f141(rel_str_of(B,C),A,E,F) | -in(F,f138(rel_str_of(B,C),A,E)) | -relation_of2(C,B,B). [resolve(1708,a,1554,b)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f140(poset_of_lattice(B),A,D,E) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f141(poset_of_lattice(B),A,D,E) | -in(E,f138(poset_of_lattice(B),A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1708,a,1555,d)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f140(c5,A,C,D) | subset_complement(the_carrier(c5),B) = f141(c5,A,C,D) | -in(D,f138(c5,A,C)). [resolve(1708,a,1556,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f140(c16,A,C,D) | subset_complement(the_carrier(c16),B) = f141(c16,A,C,D) | -in(D,f138(c16,A,C)). [resolve(1708,a,1592,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f140(c36,A,C,D) | subset_complement(the_carrier(c36),B) = f141(c36,A,C,D) | -in(D,f138(c36,A,C)). [resolve(1708,a,1625,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f140(c37,A,C,D) | subset_complement(the_carrier(c37),B) = f141(c37,A,C,D) | -in(D,f138(c37,A,C)). [resolve(1708,a,1628,a)]. 25.77/26.65 1709 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f140(A,B,C,D),complements_of_subsets(the_carrier(A),B)) | -in(D,f138(A,B,C)). [resolve(751,b,749,a)]. 25.77/26.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f140(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f138(rel_str_of(B,C),A,D)) | -relation_of2(C,B,B). [resolve(1709,a,1554,b)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f140(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f138(poset_of_lattice(B),A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1709,a,1555,d)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f140(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)) | -in(C,f138(c5,A,B)). [resolve(1709,a,1556,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f140(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)) | -in(C,f138(c16,A,B)). [resolve(1709,a,1592,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f140(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)) | -in(C,f138(c36,A,B)). [resolve(1709,a,1625,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f140(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)) | -in(C,f138(c37,A,B)). [resolve(1709,a,1628,a)]. 25.85/26.68 1710 -rel_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)) | -in(C,f138(A,B,D)). [resolve(751,b,750,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(D,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -in(D,f138(rel_str_of(B,C),A,E)) | -relation_of2(C,B,B). [resolve(1710,a,1554,b)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(C,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -in(C,f138(poset_of_lattice(B),A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1710,a,1555,d)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)) | -in(B,f138(c5,A,C)). [resolve(1710,a,1556,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)) | -in(B,f138(c16,A,C)). [resolve(1710,a,1592,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)) | -in(B,f138(c36,A,C)). [resolve(1710,a,1625,a)]. 25.85/26.68 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(B,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)) | -in(B,f138(c37,A,C)). [resolve(1710,a,1628,a)]. 25.85/26.68 1711 identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)) | -rel_str(A). [resolve(752,a,751,b)]. 25.85/26.68 Derived: identity_on_carrier(rel_str_of(A,B)) = identity_as_relation_of(the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1711,b,1554,b)]. 25.85/26.68 Derived: identity_on_carrier(poset_of_lattice(A)) = identity_as_relation_of(the_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1711,b,1555,d)]. 25.85/26.68 Derived: identity_on_carrier(c5) = identity_as_relation_of(the_carrier(c5)). [resolve(1711,b,1556,a)]. 25.85/26.68 Derived: identity_on_carrier(c16) = identity_as_relation_of(the_carrier(c16)). [resolve(1711,b,1592,a)]. 25.85/26.68 Derived: identity_on_carrier(c36) = identity_as_relation_of(the_carrier(c36)). [resolve(1711,b,1625,a)]. 25.85/26.68 Derived: identity_on_carrier(c37) = identity_as_relation_of(the_carrier(c37)). [resolve(1711,b,1628,a)]. 25.85/26.68 1712 empty_carrier(A) | element(f154(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(753,a,751,b)]. 25.85/26.68 Derived: empty_carrier(rel_str_of(A,B)) | element(f154(rel_str_of(A,B)),powerset(the_carrier(rel_str_of(A,B)))) | -relation_of2(B,A,A). [resolve(1712,c,1554,b)]. 25.85/26.68 Derived: empty_carrier(poset_of_lattice(A)) | element(f154(poset_of_lattice(A)),powerset(the_carrier(poset_of_lattice(A)))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1712,c,1555,d)]. 25.85/26.68 Derived: empty_carrier(c5) | element(f154(c5),powerset(the_carrier(c5))). [resolve(1712,c,1556,a)]. 25.85/26.68 Derived: empty_carrier(c16) | element(f154(c16),powerset(the_carrier(c16))). [resolve(1712,c,1592,a)]. 25.85/26.68 Derived: empty_carrier(c36) | element(f154(c36),powerset(the_carrier(c36))). [resolve(1712,c,1625,a)]. 25.85/26.71 Derived: empty_carrier(c37) | element(f154(c37),powerset(the_carrier(c37))). [resolve(1712,c,1628,a)]. 25.85/26.71 1713 empty_carrier(A) | -empty(f154(A)) | -rel_str(A). [resolve(754,a,751,b)]. 25.85/26.71 Derived: empty_carrier(rel_str_of(A,B)) | -empty(f154(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1713,c,1554,b)]. 25.85/26.71 Derived: empty_carrier(poset_of_lattice(A)) | -empty(f154(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1713,c,1555,d)]. 25.85/26.71 Derived: empty_carrier(c5) | -empty(f154(c5)). [resolve(1713,c,1556,a)]. 25.85/26.71 Derived: empty_carrier(c16) | -empty(f154(c16)). [resolve(1713,c,1592,a)]. 25.85/26.71 Derived: empty_carrier(c36) | -empty(f154(c36)). [resolve(1713,c,1625,a)]. 25.85/26.71 Derived: empty_carrier(c37) | -empty(f154(c37)). [resolve(1713,c,1628,a)]. 25.85/26.71 1714 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(755,b,751,b)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1714,g,1554,b)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1714,g,1555,d)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f164(c5,A)). [resolve(1714,g,1556,a)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | function(f164(c16,A)). [resolve(1714,g,1592,a)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | function(f164(c36,A)). [resolve(1714,g,1625,a)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | function(f164(c37,A)). [resolve(1714,g,1628,a)]. 25.85/26.71 1715 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(756,b,751,b)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1715,g,1554,b)]. 25.85/26.71 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1715,g,1555,d)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1715,g,1556,a)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1715,g,1592,a)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1715,g,1625,a)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1715,g,1628,a)]. 25.85/26.73 1716 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(757,b,751,b)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1716,j,1554,b)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1716,j,1555,d)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | in(f162(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(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1716,j,1556,a)]. 25.85/26.73 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1716,j,1592,a)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1716,j,1625,a)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1716,j,1628,a)]. 25.85/26.76 1717 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(758,b,751,b)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1717,g,1554,b)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1717,g,1555,d)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f164(c5,A)). [resolve(1717,g,1556,a)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | relation(f164(c16,A)). [resolve(1717,g,1592,a)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | relation(f164(c36,A)). [resolve(1717,g,1625,a)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | relation(f164(c37,A)). [resolve(1717,g,1628,a)]. 25.85/26.76 1718 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(759,b,751,b)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1718,g,1554,b)]. 25.85/26.76 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1718,g,1555,d)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | element(f163(c5,A,C),powerset(the_carrier(c5))) | function(f164(c5,A)). [resolve(1718,g,1556,a)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | function(f164(c16,A)). [resolve(1718,g,1592,a)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | function(f164(c36,A)). [resolve(1718,g,1625,a)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | function(f164(c37,A)). [resolve(1718,g,1628,a)]. 25.94/26.78 1719 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(760,b,751,b)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1719,g,1554,b)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1719,g,1555,d)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | element(f163(c5,A,C),powerset(the_carrier(c5))) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1719,g,1556,a)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1719,g,1592,a)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1719,g,1625,a)]. 25.94/26.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1719,g,1628,a)]. 25.94/26.78 1720 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(761,b,751,b)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f164(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1720,j,1554,b)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f164(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1720,j,1555,d)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | element(f163(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(f164(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1720,j,1556,a)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | -in(D,complements_of_subsets(the_carrier(c16),A)) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f164(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1720,j,1592,a)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | -in(D,complements_of_subsets(the_carrier(c36),A)) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f164(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1720,j,1625,a)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | -in(D,complements_of_subsets(the_carrier(c37),A)) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f164(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1720,j,1628,a)]. 25.94/26.80 1721 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(762,b,751,b)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1721,g,1554,b)]. 25.94/26.80 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1721,g,1555,d)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | element(f163(c5,A,C),powerset(the_carrier(c5))) | relation(f164(c5,A)). [resolve(1721,g,1556,a)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | relation(f164(c16,A)). [resolve(1721,g,1592,a)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | relation(f164(c36,A)). [resolve(1721,g,1625,a)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | relation(f164(c37,A)). [resolve(1721,g,1628,a)]. 25.97/26.83 1722 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(763,b,751,b)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1722,g,1554,b)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1722,g,1555,d)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | f163(c5,A,C) = f162(c5,A) | function(f164(c5,A)). [resolve(1722,g,1556,a)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | f163(c16,A,C) = f162(c16,A) | function(f164(c16,A)). [resolve(1722,g,1592,a)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | f163(c36,A,C) = f162(c36,A) | function(f164(c36,A)). [resolve(1722,g,1625,a)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | f163(c37,A,C) = f162(c37,A) | function(f164(c37,A)). [resolve(1722,g,1628,a)]. 25.97/26.83 1723 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(764,b,751,b)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1723,g,1554,b)]. 25.97/26.83 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1723,g,1555,d)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | f163(c5,A,C) = f162(c5,A) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1723,g,1556,a)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | f163(c16,A,C) = f162(c16,A) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1723,g,1592,a)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | f163(c36,A,C) = f162(c36,A) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1723,g,1625,a)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | f163(c37,A,C) = f162(c37,A) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1723,g,1628,a)]. 26.00/26.85 1724 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(765,b,751,b)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f164(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1724,j,1554,b)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f164(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1724,j,1555,d)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | f163(c5,A,C) = f162(c5,A) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f164(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1724,j,1556,a)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | f163(c16,A,C) = f162(c16,A) | -in(D,complements_of_subsets(the_carrier(c16),A)) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f164(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1724,j,1592,a)]. 26.00/26.85 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | f163(c36,A,C) = f162(c36,A) | -in(D,complements_of_subsets(the_carrier(c36),A)) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f164(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1724,j,1625,a)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | f163(c37,A,C) = f162(c37,A) | -in(D,complements_of_subsets(the_carrier(c37),A)) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f164(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1724,j,1628,a)]. 26.00/26.88 1725 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(766,b,751,b)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1725,g,1554,b)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1725,g,1555,d)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | f163(c5,A,C) = f162(c5,A) | relation(f164(c5,A)). [resolve(1725,g,1556,a)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | f163(c16,A,C) = f162(c16,A) | relation(f164(c16,A)). [resolve(1725,g,1592,a)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | f163(c36,A,C) = f162(c36,A) | relation(f164(c36,A)). [resolve(1725,g,1625,a)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | f163(c37,A,C) = f162(c37,A) | relation(f164(c37,A)). [resolve(1725,g,1628,a)]. 26.00/26.88 1726 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) | -rel_str(B). [resolve(767,b,751,b)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1726,g,1554,b)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1726,g,1555,d)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | function(f164(c5,A)). [resolve(1726,g,1556,a)]. 26.00/26.88 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | function(f164(c16,A)). [resolve(1726,g,1592,a)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | function(f164(c36,A)). [resolve(1726,g,1625,a)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | function(f164(c37,A)). [resolve(1726,g,1628,a)]. 26.06/26.90 1727 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(768,b,751,b)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1727,g,1554,b)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1727,g,1555,d)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1727,g,1556,a)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1727,g,1592,a)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1727,g,1625,a)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1727,g,1628,a)]. 26.06/26.90 1728 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(769,b,751,b)]. 26.06/26.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f164(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1728,j,1554,b)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f164(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1728,j,1555,d)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f164(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1728,j,1556,a)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c16),A)) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f164(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1728,j,1592,a)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c36),A)) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f164(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1728,j,1625,a)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c37),A)) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f164(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1728,j,1628,a)]. 26.06/26.93 1729 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f161(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) | -rel_str(B). [resolve(770,b,751,b)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f161(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1729,g,1554,b)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f161(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1729,g,1555,d)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f161(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | relation(f164(c5,A)). [resolve(1729,g,1556,a)]. 26.06/26.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f161(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | relation(f164(c16,A)). [resolve(1729,g,1592,a)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f161(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | relation(f164(c36,A)). [resolve(1729,g,1625,a)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f161(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | relation(f164(c37,A)). [resolve(1729,g,1628,a)]. 26.06/26.95 1730 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(771,b,751,b)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1730,g,1554,b)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1730,g,1555,d)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f164(c5,A)). [resolve(1730,g,1556,a)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | function(f164(c16,A)). [resolve(1730,g,1592,a)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | function(f164(c36,A)). [resolve(1730,g,1625,a)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | function(f164(c37,A)). [resolve(1730,g,1628,a)]. 26.06/26.95 1731 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(772,b,751,b)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1731,g,1554,b)]. 26.06/26.95 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1731,g,1555,d)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1731,g,1556,a)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1731,g,1592,a)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1731,g,1625,a)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1731,g,1628,a)]. 26.12/26.98 1732 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(773,b,751,b)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1732,j,1554,b)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1732,j,1555,d)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | in(f162(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(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1732,j,1556,a)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1732,j,1592,a)]. 26.12/26.98 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1732,j,1625,a)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1732,j,1628,a)]. 26.12/27.00 1733 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(774,b,751,b)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1733,g,1554,b)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1733,g,1555,d)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f164(c5,A)). [resolve(1733,g,1556,a)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | relation(f164(c16,A)). [resolve(1733,g,1592,a)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | relation(f164(c36,A)). [resolve(1733,g,1625,a)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | relation(f164(c37,A)). [resolve(1733,g,1628,a)]. 26.12/27.00 1734 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(775,b,751,b)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1734,g,1554,b)]. 26.12/27.00 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1734,g,1555,d)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | element(f163(c5,A,C),powerset(the_carrier(c5))) | function(f164(c5,A)). [resolve(1734,g,1556,a)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | function(f164(c16,A)). [resolve(1734,g,1592,a)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | function(f164(c36,A)). [resolve(1734,g,1625,a)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | function(f164(c37,A)). [resolve(1734,g,1628,a)]. 26.12/27.02 1735 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(776,b,751,b)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1735,g,1554,b)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1735,g,1555,d)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | element(f163(c5,A,C),powerset(the_carrier(c5))) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1735,g,1556,a)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1735,g,1592,a)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1735,g,1625,a)]. 26.12/27.02 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1735,g,1628,a)]. 26.12/27.02 1736 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(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(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(777,b,751,b)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f164(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1736,j,1554,b)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f164(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1736,j,1555,d)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | element(f163(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(f164(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1736,j,1556,a)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | -in(D,complements_of_subsets(the_carrier(c16),A)) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f164(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1736,j,1592,a)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | -in(D,complements_of_subsets(the_carrier(c36),A)) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f164(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1736,j,1625,a)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | -in(D,complements_of_subsets(the_carrier(c37),A)) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f164(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1736,j,1628,a)]. 26.12/27.05 1737 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | element(f163(B,A,D),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(778,b,751,b)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,E),powerset(the_carrier(rel_str_of(B,C)))) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1737,g,1554,b)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,D),powerset(the_carrier(poset_of_lattice(B)))) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1737,g,1555,d)]. 26.12/27.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | element(f163(c5,A,C),powerset(the_carrier(c5))) | relation(f164(c5,A)). [resolve(1737,g,1556,a)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | element(f163(c16,A,C),powerset(the_carrier(c16))) | relation(f164(c16,A)). [resolve(1737,g,1592,a)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | element(f163(c36,A,C),powerset(the_carrier(c36))) | relation(f164(c36,A)). [resolve(1737,g,1625,a)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | element(f163(c37,A,C),powerset(the_carrier(c37))) | relation(f164(c37,A)). [resolve(1737,g,1628,a)]. 26.22/27.07 1738 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(779,b,751,b)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1738,g,1554,b)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1738,g,1555,d)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | f163(c5,A,C) = f162(c5,A) | function(f164(c5,A)). [resolve(1738,g,1556,a)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | f163(c16,A,C) = f162(c16,A) | function(f164(c16,A)). [resolve(1738,g,1592,a)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | f163(c36,A,C) = f162(c36,A) | function(f164(c36,A)). [resolve(1738,g,1625,a)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | f163(c37,A,C) = f162(c37,A) | function(f164(c37,A)). [resolve(1738,g,1628,a)]. 26.22/27.07 1739 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(780,b,751,b)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1739,g,1554,b)]. 26.22/27.07 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1739,g,1555,d)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | f163(c5,A,C) = f162(c5,A) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1739,g,1556,a)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | f163(c16,A,C) = f162(c16,A) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1739,g,1592,a)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | f163(c36,A,C) = f162(c36,A) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1739,g,1625,a)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | f163(c37,A,C) = f162(c37,A) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1739,g,1628,a)]. 26.26/27.10 1740 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(781,b,751,b)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f164(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1740,j,1554,b)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f164(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1740,j,1555,d)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | f163(c5,A,C) = f162(c5,A) | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f164(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1740,j,1556,a)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | f163(c16,A,C) = f162(c16,A) | -in(D,complements_of_subsets(the_carrier(c16),A)) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f164(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1740,j,1592,a)]. 26.26/27.10 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | f163(c36,A,C) = f162(c36,A) | -in(D,complements_of_subsets(the_carrier(c36),A)) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f164(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1740,j,1625,a)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | f163(c37,A,C) = f162(c37,A) | -in(D,complements_of_subsets(the_carrier(c37),A)) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f164(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1740,j,1628,a)]. 26.26/27.13 1741 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | f163(B,A,D) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(782,b,751,b)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,E) = f162(rel_str_of(B,C),A) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1741,g,1554,b)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,D) = f162(poset_of_lattice(B),A) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1741,g,1555,d)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | f163(c5,A,C) = f162(c5,A) | relation(f164(c5,A)). [resolve(1741,g,1556,a)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | f163(c16,A,C) = f162(c16,A) | relation(f164(c16,A)). [resolve(1741,g,1592,a)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | f163(c36,A,C) = f162(c36,A) | relation(f164(c36,A)). [resolve(1741,g,1625,a)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | f163(c37,A,C) = f162(c37,A) | relation(f164(c37,A)). [resolve(1741,g,1628,a)]. 26.26/27.13 1742 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | function(f164(B,A)) | -rel_str(B). [resolve(783,b,751,b)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1742,g,1554,b)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1742,g,1555,d)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | function(f164(c5,A)). [resolve(1742,g,1556,a)]. 26.26/27.13 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | function(f164(c16,A)). [resolve(1742,g,1592,a)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | function(f164(c36,A)). [resolve(1742,g,1625,a)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | function(f164(c37,A)). [resolve(1742,g,1628,a)]. 26.30/27.15 1743 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(784,b,751,b)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1743,g,1554,b)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1743,g,1555,d)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1743,g,1556,a)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1743,g,1592,a)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1743,g,1625,a)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1743,g,1628,a)]. 26.30/27.15 1744 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | -element(F,powerset(the_carrier(B))) | F != E | apply(f164(B,A),E) = subset_complement(the_carrier(B),F) | -rel_str(B). [resolve(785,b,751,b)]. 26.30/27.15 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != F | apply(f164(rel_str_of(B,C),A),F) = subset_complement(the_carrier(rel_str_of(B,C)),V6) | -relation_of2(C,B,B). [resolve(1744,j,1554,b)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != E | apply(f164(poset_of_lattice(B),A),E) = subset_complement(the_carrier(poset_of_lattice(B)),F) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1744,j,1555,d)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)) | -element(E,powerset(the_carrier(c5))) | E != D | apply(f164(c5,A),D) = subset_complement(the_carrier(c5),E). [resolve(1744,j,1556,a)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c16),A)) | -element(E,powerset(the_carrier(c16))) | E != D | apply(f164(c16,A),D) = subset_complement(the_carrier(c16),E). [resolve(1744,j,1592,a)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c36),A)) | -element(E,powerset(the_carrier(c36))) | E != D | apply(f164(c36,A),D) = subset_complement(the_carrier(c36),E). [resolve(1744,j,1625,a)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | -in(D,complements_of_subsets(the_carrier(c37),A)) | -element(E,powerset(the_carrier(c37))) | E != D | apply(f164(c37,A),D) = subset_complement(the_carrier(c37),E). [resolve(1744,j,1628,a)]. 26.30/27.17 1745 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f159(B,A) | subset_complement(the_carrier(B),C) = f160(B,A) | subset_complement(the_carrier(B),f163(B,A,D)) != D | relation(f164(B,A)) | -rel_str(B). [resolve(786,b,751,b)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f159(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,E)) != E | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1745,g,1554,b)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f159(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,D)) != D | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1745,g,1555,d)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f159(c5,A) | subset_complement(the_carrier(c5),B) = f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,C)) != C | relation(f164(c5,A)). [resolve(1745,g,1556,a)]. 26.30/27.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f159(c16,A) | subset_complement(the_carrier(c16),B) = f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,C)) != C | relation(f164(c16,A)). [resolve(1745,g,1592,a)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f159(c36,A) | subset_complement(the_carrier(c36),B) = f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,C)) != C | relation(f164(c36,A)). [resolve(1745,g,1625,a)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f159(c37,A) | subset_complement(the_carrier(c37),B) = f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,C)) != C | relation(f164(c37,A)). [resolve(1745,g,1628,a)]. 26.36/27.20 1746 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(787,b,751,b)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1746,e,1554,b)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1746,e,1555,d)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f164(c5,A)). [resolve(1746,e,1556,a)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | function(f164(c16,A)). [resolve(1746,e,1592,a)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | function(f164(c36,A)). [resolve(1746,e,1625,a)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | function(f164(c37,A)). [resolve(1746,e,1628,a)]. 26.36/27.20 1747 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(788,b,751,b)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1747,e,1554,b)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1747,e,1555,d)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1747,e,1556,a)]. 26.36/27.20 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1747,e,1592,a)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1747,e,1625,a)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1747,e,1628,a)]. 26.36/27.22 1748 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(789,b,751,b)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != D | apply(f164(rel_str_of(B,C),A),D) = subset_complement(the_carrier(rel_str_of(B,C)),E) | -relation_of2(C,B,B). [resolve(1748,h,1554,b)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != C | apply(f164(poset_of_lattice(B),A),C) = subset_complement(the_carrier(poset_of_lattice(B)),D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1748,h,1555,d)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f162(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(f164(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1748,h,1556,a)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | -element(C,powerset(the_carrier(c16))) | C != B | apply(f164(c16,A),B) = subset_complement(the_carrier(c16),C). [resolve(1748,h,1592,a)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | -element(C,powerset(the_carrier(c36))) | C != B | apply(f164(c36,A),B) = subset_complement(the_carrier(c36),C). [resolve(1748,h,1625,a)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | -element(C,powerset(the_carrier(c37))) | C != B | apply(f164(c37,A),B) = subset_complement(the_carrier(c37),C). [resolve(1748,h,1628,a)]. 26.36/27.22 1749 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(790,b,751,b)]. 26.36/27.22 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1749,e,1554,b)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1749,e,1555,d)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f164(c5,A)). [resolve(1749,e,1556,a)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | relation(f164(c16,A)). [resolve(1749,e,1592,a)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | relation(f164(c36,A)). [resolve(1749,e,1625,a)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | relation(f164(c37,A)). [resolve(1749,e,1628,a)]. 26.36/27.24 1750 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(791,b,751,b)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1750,e,1554,b)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1750,e,1555,d)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f163(c5,A,B),powerset(the_carrier(c5))) | function(f164(c5,A)). [resolve(1750,e,1556,a)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | element(f163(c16,A,B),powerset(the_carrier(c16))) | function(f164(c16,A)). [resolve(1750,e,1592,a)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | element(f163(c36,A,B),powerset(the_carrier(c36))) | function(f164(c36,A)). [resolve(1750,e,1625,a)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | element(f163(c37,A,B),powerset(the_carrier(c37))) | function(f164(c37,A)). [resolve(1750,e,1628,a)]. 26.36/27.24 1751 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(792,b,751,b)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1751,e,1554,b)]. 26.36/27.24 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1751,e,1555,d)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f163(c5,A,B),powerset(the_carrier(c5))) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1751,e,1556,a)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | element(f163(c16,A,B),powerset(the_carrier(c16))) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1751,e,1592,a)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | element(f163(c36,A,B),powerset(the_carrier(c36))) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1751,e,1625,a)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | element(f163(c37,A,B),powerset(the_carrier(c37))) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1751,e,1628,a)]. 26.42/27.27 1752 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(793,b,751,b)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1752,h,1554,b)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1752,h,1555,d)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f163(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(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1752,h,1556,a)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | element(f163(c16,A,B),powerset(the_carrier(c16))) | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1752,h,1592,a)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | element(f163(c36,A,B),powerset(the_carrier(c36))) | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1752,h,1625,a)]. 26.42/27.27 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | element(f163(c37,A,B),powerset(the_carrier(c37))) | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1752,h,1628,a)]. 26.42/27.27 1753 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(794,b,751,b)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1753,e,1554,b)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1753,e,1555,d)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f163(c5,A,B),powerset(the_carrier(c5))) | relation(f164(c5,A)). [resolve(1753,e,1556,a)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | element(f163(c16,A,B),powerset(the_carrier(c16))) | relation(f164(c16,A)). [resolve(1753,e,1592,a)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | element(f163(c36,A,B),powerset(the_carrier(c36))) | relation(f164(c36,A)). [resolve(1753,e,1625,a)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | element(f163(c37,A,B),powerset(the_carrier(c37))) | relation(f164(c37,A)). [resolve(1753,e,1628,a)]. 26.42/27.29 1754 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(795,b,751,b)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1754,e,1554,b)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1754,e,1555,d)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | f163(c5,A,B) = f162(c5,A) | function(f164(c5,A)). [resolve(1754,e,1556,a)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | f163(c16,A,B) = f162(c16,A) | function(f164(c16,A)). [resolve(1754,e,1592,a)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | f163(c36,A,B) = f162(c36,A) | function(f164(c36,A)). [resolve(1754,e,1625,a)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | f163(c37,A,B) = f162(c37,A) | function(f164(c37,A)). [resolve(1754,e,1628,a)]. 26.42/27.29 1755 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(796,b,751,b)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1755,e,1554,b)]. 26.42/27.29 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1755,e,1555,d)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | f163(c5,A,B) = f162(c5,A) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1755,e,1556,a)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | f163(c16,A,B) = f162(c16,A) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1755,e,1592,a)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | f163(c36,A,B) = f162(c36,A) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1755,e,1625,a)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | f163(c37,A,B) = f162(c37,A) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1755,e,1628,a)]. 26.42/27.32 1756 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(797,b,751,b)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1756,h,1554,b)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1756,h,1555,d)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | f163(c5,A,B) = f162(c5,A) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1756,h,1556,a)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | f163(c16,A,B) = f162(c16,A) | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1756,h,1592,a)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | f163(c36,A,B) = f162(c36,A) | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1756,h,1625,a)]. 26.42/27.32 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | f163(c37,A,B) = f162(c37,A) | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1756,h,1628,a)]. 26.42/27.32 1757 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(798,b,751,b)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1757,e,1554,b)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1757,e,1555,d)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | f163(c5,A,B) = f162(c5,A) | relation(f164(c5,A)). [resolve(1757,e,1556,a)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | f163(c16,A,B) = f162(c16,A) | relation(f164(c16,A)). [resolve(1757,e,1592,a)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | f163(c36,A,B) = f162(c36,A) | relation(f164(c36,A)). [resolve(1757,e,1625,a)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | f163(c37,A,B) = f162(c37,A) | relation(f164(c37,A)). [resolve(1757,e,1628,a)]. 26.42/27.35 1758 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) | -rel_str(B). [resolve(799,b,751,b)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1758,e,1554,b)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1758,e,1555,d)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | function(f164(c5,A)). [resolve(1758,e,1556,a)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | function(f164(c16,A)). [resolve(1758,e,1592,a)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | function(f164(c36,A)). [resolve(1758,e,1625,a)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | function(f164(c37,A)). [resolve(1758,e,1628,a)]. 26.42/27.35 1759 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(800,b,751,b)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1759,e,1554,b)]. 26.42/27.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1759,e,1555,d)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1759,e,1556,a)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1759,e,1592,a)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1759,e,1625,a)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1759,e,1628,a)]. 26.42/27.37 1760 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(801,b,751,b)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1760,h,1554,b)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1760,h,1555,d)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1760,h,1556,a)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1760,h,1592,a)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1760,h,1625,a)]. 26.42/27.37 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1760,h,1628,a)]. 26.54/27.39 1761 -element(A,powerset(powerset(the_carrier(B)))) | in(f159(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) | -rel_str(B). [resolve(802,b,751,b)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f159(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1761,e,1554,b)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f159(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1761,e,1555,d)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f159(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | relation(f164(c5,A)). [resolve(1761,e,1556,a)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f159(c16,A),complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | relation(f164(c16,A)). [resolve(1761,e,1592,a)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f159(c36,A),complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | relation(f164(c36,A)). [resolve(1761,e,1625,a)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f159(c37,A),complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | relation(f164(c37,A)). [resolve(1761,e,1628,a)]. 26.54/27.39 1762 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | function(f164(B,A)) | -rel_str(B). [resolve(803,b,751,b)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1762,e,1554,b)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1762,e,1555,d)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f164(c5,A)). [resolve(1762,e,1556,a)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | function(f164(c16,A)). [resolve(1762,e,1592,a)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | function(f164(c36,A)). [resolve(1762,e,1625,a)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | function(f164(c37,A)). [resolve(1762,e,1628,a)]. 26.54/27.39 1763 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(804,b,751,b)]. 26.54/27.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1763,e,1554,b)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1763,e,1555,d)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1763,e,1556,a)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1763,e,1592,a)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1763,e,1625,a)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1763,e,1628,a)]. 26.58/27.42 1764 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(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(f164(B,A),C) = subset_complement(the_carrier(B),D) | -rel_str(B). [resolve(805,b,751,b)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != D | apply(f164(rel_str_of(B,C),A),D) = subset_complement(the_carrier(rel_str_of(B,C)),E) | -relation_of2(C,B,B). [resolve(1764,h,1554,b)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != C | apply(f164(poset_of_lattice(B),A),C) = subset_complement(the_carrier(poset_of_lattice(B)),D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1764,h,1555,d)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | in(f162(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(f164(c5,A),B) = subset_complement(the_carrier(c5),C). [resolve(1764,h,1556,a)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | -element(C,powerset(the_carrier(c16))) | C != B | apply(f164(c16,A),B) = subset_complement(the_carrier(c16),C). [resolve(1764,h,1592,a)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | -element(C,powerset(the_carrier(c36))) | C != B | apply(f164(c36,A),B) = subset_complement(the_carrier(c36),C). [resolve(1764,h,1625,a)]. 26.58/27.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | -element(C,powerset(the_carrier(c37))) | C != B | apply(f164(c37,A),B) = subset_complement(the_carrier(c37),C). [resolve(1764,h,1628,a)]. 26.58/27.45 1765 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | in(f162(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f164(B,A)) | -rel_str(B). [resolve(806,b,751,b)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | in(f162(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1765,e,1554,b)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | in(f162(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1765,e,1555,d)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | in(f162(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f164(c5,A)). [resolve(1765,e,1556,a)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | in(f162(c16,A),complements_of_subsets(the_carrier(c16),A)) | relation(f164(c16,A)). [resolve(1765,e,1592,a)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | in(f162(c36,A),complements_of_subsets(the_carrier(c36),A)) | relation(f164(c36,A)). [resolve(1765,e,1625,a)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | in(f162(c37,A),complements_of_subsets(the_carrier(c37),A)) | relation(f164(c37,A)). [resolve(1765,e,1628,a)]. 26.58/27.45 1766 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | function(f164(B,A)) | -rel_str(B). [resolve(807,b,751,b)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1766,e,1554,b)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1766,e,1555,d)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | element(f163(c5,A,B),powerset(the_carrier(c5))) | function(f164(c5,A)). [resolve(1766,e,1556,a)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | element(f163(c16,A,B),powerset(the_carrier(c16))) | function(f164(c16,A)). [resolve(1766,e,1592,a)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | element(f163(c36,A,B),powerset(the_carrier(c36))) | function(f164(c36,A)). [resolve(1766,e,1625,a)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | element(f163(c37,A,B),powerset(the_carrier(c37))) | function(f164(c37,A)). [resolve(1766,e,1628,a)]. 26.58/27.45 1767 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(808,b,751,b)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1767,e,1554,b)]. 26.58/27.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1767,e,1555,d)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | element(f163(c5,A,B),powerset(the_carrier(c5))) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1767,e,1556,a)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | element(f163(c16,A,B),powerset(the_carrier(c16))) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1767,e,1592,a)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | element(f163(c36,A,B),powerset(the_carrier(c36))) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1767,e,1625,a)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | element(f163(c37,A,B),powerset(the_carrier(c37))) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1767,e,1628,a)]. 26.62/27.47 1768 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(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(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(809,b,751,b)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1768,h,1554,b)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1768,h,1555,d)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | element(f163(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(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1768,h,1556,a)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | element(f163(c16,A,B),powerset(the_carrier(c16))) | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1768,h,1592,a)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | element(f163(c36,A,B),powerset(the_carrier(c36))) | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1768,h,1625,a)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | element(f163(c37,A,B),powerset(the_carrier(c37))) | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1768,h,1628,a)]. 26.62/27.47 1769 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | element(f163(B,A,C),powerset(the_carrier(B))) | relation(f164(B,A)) | -rel_str(B). [resolve(810,b,751,b)]. 26.62/27.47 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | element(f163(rel_str_of(B,C),A,D),powerset(the_carrier(rel_str_of(B,C)))) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1769,e,1554,b)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | element(f163(poset_of_lattice(B),A,C),powerset(the_carrier(poset_of_lattice(B)))) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1769,e,1555,d)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | element(f163(c5,A,B),powerset(the_carrier(c5))) | relation(f164(c5,A)). [resolve(1769,e,1556,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | element(f163(c16,A,B),powerset(the_carrier(c16))) | relation(f164(c16,A)). [resolve(1769,e,1592,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | element(f163(c36,A,B),powerset(the_carrier(c36))) | relation(f164(c36,A)). [resolve(1769,e,1625,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | element(f163(c37,A,B),powerset(the_carrier(c37))) | relation(f164(c37,A)). [resolve(1769,e,1628,a)]. 26.62/27.51 1770 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | function(f164(B,A)) | -rel_str(B). [resolve(811,b,751,b)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1770,e,1554,b)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1770,e,1555,d)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | f163(c5,A,B) = f162(c5,A) | function(f164(c5,A)). [resolve(1770,e,1556,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | f163(c16,A,B) = f162(c16,A) | function(f164(c16,A)). [resolve(1770,e,1592,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | f163(c36,A,B) = f162(c36,A) | function(f164(c36,A)). [resolve(1770,e,1625,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | f163(c37,A,B) = f162(c37,A) | function(f164(c37,A)). [resolve(1770,e,1628,a)]. 26.62/27.51 1771 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(812,b,751,b)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1771,e,1554,b)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1771,e,1555,d)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | f163(c5,A,B) = f162(c5,A) | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1771,e,1556,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | f163(c16,A,B) = f162(c16,A) | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1771,e,1592,a)]. 26.62/27.51 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | f163(c36,A,B) = f162(c36,A) | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1771,e,1625,a)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | f163(c37,A,B) = f162(c37,A) | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1771,e,1628,a)]. 26.62/27.53 1772 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(813,b,751,b)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1772,h,1554,b)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1772,h,1555,d)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | f163(c5,A,B) = f162(c5,A) | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1772,h,1556,a)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | f163(c16,A,B) = f162(c16,A) | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1772,h,1592,a)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | f163(c36,A,B) = f162(c36,A) | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1772,h,1625,a)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | f163(c37,A,B) = f162(c37,A) | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1772,h,1628,a)]. 26.62/27.53 1773 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | f163(B,A,C) = f162(B,A) | relation(f164(B,A)) | -rel_str(B). [resolve(814,b,751,b)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | f163(rel_str_of(B,C),A,D) = f162(rel_str_of(B,C),A) | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1773,e,1554,b)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | f163(poset_of_lattice(B),A,C) = f162(poset_of_lattice(B),A) | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1773,e,1555,d)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | f163(c5,A,B) = f162(c5,A) | relation(f164(c5,A)). [resolve(1773,e,1556,a)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | f163(c16,A,B) = f162(c16,A) | relation(f164(c16,A)). [resolve(1773,e,1592,a)]. 26.62/27.53 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | f163(c36,A,B) = f162(c36,A) | relation(f164(c36,A)). [resolve(1773,e,1625,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | f163(c37,A,B) = f162(c37,A) | relation(f164(c37,A)). [resolve(1773,e,1628,a)]. 26.71/27.56 1774 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | function(f164(B,A)) | -rel_str(B). [resolve(815,b,751,b)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | function(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1774,e,1554,b)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | function(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1774,e,1555,d)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | function(f164(c5,A)). [resolve(1774,e,1556,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | function(f164(c16,A)). [resolve(1774,e,1592,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | function(f164(c36,A)). [resolve(1774,e,1625,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | function(f164(c37,A)). [resolve(1774,e,1628,a)]. 26.71/27.56 1775 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | complements_of_subsets(the_carrier(B),A) = relation_dom(f164(B,A)) | -rel_str(B). [resolve(816,b,751,b)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | complements_of_subsets(the_carrier(rel_str_of(B,C)),A) = relation_dom(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1775,e,1554,b)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | complements_of_subsets(the_carrier(poset_of_lattice(B)),A) = relation_dom(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1775,e,1555,d)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | complements_of_subsets(the_carrier(c5),A) = relation_dom(f164(c5,A)). [resolve(1775,e,1556,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | complements_of_subsets(the_carrier(c16),A) = relation_dom(f164(c16,A)). [resolve(1775,e,1592,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | complements_of_subsets(the_carrier(c36),A) = relation_dom(f164(c36,A)). [resolve(1775,e,1625,a)]. 26.71/27.56 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | complements_of_subsets(the_carrier(c37),A) = relation_dom(f164(c37,A)). [resolve(1775,e,1628,a)]. 26.71/27.56 1776 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | -element(E,powerset(the_carrier(B))) | E != D | apply(f164(B,A),D) = subset_complement(the_carrier(B),E) | -rel_str(B). [resolve(817,b,751,b)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != E | apply(f164(rel_str_of(B,C),A),E) = subset_complement(the_carrier(rel_str_of(B,C)),F) | -relation_of2(C,B,B). [resolve(1776,h,1554,b)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != D | apply(f164(poset_of_lattice(B),A),D) = subset_complement(the_carrier(poset_of_lattice(B)),E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1776,h,1555,d)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)) | -element(D,powerset(the_carrier(c5))) | D != C | apply(f164(c5,A),C) = subset_complement(the_carrier(c5),D). [resolve(1776,h,1556,a)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c16),A)) | -element(D,powerset(the_carrier(c16))) | D != C | apply(f164(c16,A),C) = subset_complement(the_carrier(c16),D). [resolve(1776,h,1592,a)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c36),A)) | -element(D,powerset(the_carrier(c36))) | D != C | apply(f164(c36,A),C) = subset_complement(the_carrier(c36),D). [resolve(1776,h,1625,a)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | -in(C,complements_of_subsets(the_carrier(c37),A)) | -element(D,powerset(the_carrier(c37))) | D != C | apply(f164(c37,A),C) = subset_complement(the_carrier(c37),D). [resolve(1776,h,1628,a)]. 26.75/27.59 1777 -element(A,powerset(powerset(the_carrier(B)))) | f161(B,A) != f160(B,A) | subset_complement(the_carrier(B),f163(B,A,C)) != C | relation(f164(B,A)) | -rel_str(B). [resolve(818,b,751,b)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f161(rel_str_of(B,C),A) != f160(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f163(rel_str_of(B,C),A,D)) != D | relation(f164(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1777,e,1554,b)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f161(poset_of_lattice(B),A) != f160(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f163(poset_of_lattice(B),A,C)) != C | relation(f164(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1777,e,1555,d)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f161(c5,A) != f160(c5,A) | subset_complement(the_carrier(c5),f163(c5,A,B)) != B | relation(f164(c5,A)). [resolve(1777,e,1556,a)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f161(c16,A) != f160(c16,A) | subset_complement(the_carrier(c16),f163(c16,A,B)) != B | relation(f164(c16,A)). [resolve(1777,e,1592,a)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f161(c36,A) != f160(c36,A) | subset_complement(the_carrier(c36),f163(c36,A,B)) != B | relation(f164(c36,A)). [resolve(1777,e,1625,a)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f161(c37,A) != f160(c37,A) | subset_complement(the_carrier(c37),f163(c37,A,B)) != B | relation(f164(c37,A)). [resolve(1777,e,1628,a)]. 26.75/27.59 1778 -element(A,powerset(powerset(the_carrier(B)))) | -finite(complements_of_subsets(the_carrier(B),A)) | finite(A) | -rel_str(B). [resolve(819,a,751,b)]. 26.75/27.59 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -finite(complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | finite(A) | -relation_of2(C,B,B). [resolve(1778,d,1554,b)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -finite(complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | finite(A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1778,d,1555,d)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -finite(complements_of_subsets(the_carrier(c5),A)) | finite(A). [resolve(1778,d,1556,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -finite(complements_of_subsets(the_carrier(c16),A)) | finite(A). [resolve(1778,d,1592,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -finite(complements_of_subsets(the_carrier(c36),A)) | finite(A). [resolve(1778,d,1625,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -finite(complements_of_subsets(the_carrier(c37),A)) | finite(A). [resolve(1778,d,1628,a)]. 26.75/27.63 1779 -element(A,powerset(powerset(the_carrier(B)))) | finite(complements_of_subsets(the_carrier(B),A)) | -finite(A) | -rel_str(B). [resolve(820,a,751,b)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | finite(complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -finite(A) | -relation_of2(C,B,B). [resolve(1779,d,1554,b)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | finite(complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -finite(A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1779,d,1555,d)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | finite(complements_of_subsets(the_carrier(c5),A)) | -finite(A). [resolve(1779,d,1556,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | finite(complements_of_subsets(the_carrier(c16),A)) | -finite(A). [resolve(1779,d,1592,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | finite(complements_of_subsets(the_carrier(c36),A)) | -finite(A). [resolve(1779,d,1625,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | finite(complements_of_subsets(the_carrier(c37),A)) | -finite(A). [resolve(1779,d,1628,a)]. 26.75/27.63 1780 empty_carrier(A) | -empty(cast_as_carrier_subset(A)) | -rel_str(A). [resolve(821,a,751,b)]. 26.75/27.63 Derived: empty_carrier(rel_str_of(A,B)) | -empty(cast_as_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1780,c,1554,b)]. 26.75/27.63 Derived: empty_carrier(poset_of_lattice(A)) | -empty(cast_as_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1780,c,1555,d)]. 26.75/27.63 Derived: empty_carrier(c5) | -empty(cast_as_carrier_subset(c5)). [resolve(1780,c,1556,a)]. 26.75/27.63 Derived: empty_carrier(c16) | -empty(cast_as_carrier_subset(c16)). [resolve(1780,c,1592,a)]. 26.75/27.63 Derived: empty_carrier(c36) | -empty(cast_as_carrier_subset(c36)). [resolve(1780,c,1625,a)]. 26.75/27.63 Derived: empty_carrier(c37) | -empty(cast_as_carrier_subset(c37)). [resolve(1780,c,1628,a)]. 26.75/27.63 1781 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(822,b,751,b)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1781,e,1554,b)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1781,e,1555,d)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1781,e,1556,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1781,e,1592,a)]. 26.75/27.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1781,e,1625,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1781,e,1628,a)]. 26.82/27.66 1782 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(823,b,751,b)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1782,g,1554,b)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1782,g,1555,d)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1782,g,1556,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1782,g,1592,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1782,g,1625,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1782,g,1628,a)]. 26.82/27.66 1783 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(824,b,751,b)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1783,e,1554,b)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1783,e,1555,d)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1783,e,1556,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1783,e,1592,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1783,e,1625,a)]. 26.82/27.66 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1783,e,1628,a)]. 26.82/27.66 1784 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(825,b,751,b)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1784,e,1554,b)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1784,e,1555,d)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1784,e,1556,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1784,e,1592,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1784,e,1625,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1784,e,1628,a)]. 26.82/27.69 1785 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(826,b,751,b)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1785,e,1554,b)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1785,e,1555,d)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1785,e,1556,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1785,e,1592,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1785,e,1625,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1785,e,1628,a)]. 26.82/27.69 1786 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(827,b,751,b)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1786,i,1554,b)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1786,i,1555,d)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1786,i,1556,a)]. 26.82/27.69 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1786,i,1592,a)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1786,i,1625,a)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1786,i,1628,a)]. 26.88/27.72 1787 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(828,b,751,b)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1787,i,1554,b)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1787,i,1555,d)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1787,i,1556,a)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1787,i,1592,a)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1787,i,1625,a)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1787,i,1628,a)]. 26.88/27.72 1788 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(829,b,751,b)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1788,i,1554,b)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1788,i,1555,d)]. 26.88/27.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) = f191(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1788,i,1556,a)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) = f191(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1788,i,1592,a)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) = f191(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1788,i,1625,a)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) = f191(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1788,i,1628,a)]. 26.88/27.75 1789 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) | -rel_str(B). [resolve(830,b,751,b)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | in(f200(rel_str_of(B,C),A,E,F),A) | -relation_of2(C,B,B). [resolve(1789,g,1554,b)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | in(f200(poset_of_lattice(B),A,D,E),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1789,g,1555,d)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | -in(D,f198(c5,A,C)) | in(f200(c5,A,C,D),A). [resolve(1789,g,1556,a)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | -in(D,f198(c16,A,C)) | in(f200(c16,A,C,D),A). [resolve(1789,g,1592,a)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | -in(D,f198(c36,A,C)) | in(f200(c36,A,C,D),A). [resolve(1789,g,1625,a)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | -in(D,f198(c37,A,C)) | in(f200(c37,A,C,D),A). [resolve(1789,g,1628,a)]. 26.88/27.75 1790 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) | -rel_str(B). [resolve(831,b,751,b)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != f200(rel_str_of(B,C),A,E,F) | subset_complement(the_carrier(rel_str_of(B,C)),V6) = f201(rel_str_of(B,C),A,E,F) | -relation_of2(C,B,B). [resolve(1790,i,1554,b)]. 26.88/27.75 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != f200(poset_of_lattice(B),A,D,E) | subset_complement(the_carrier(poset_of_lattice(B)),F) = f201(poset_of_lattice(B),A,D,E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1790,i,1555,d)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | -in(D,f198(c5,A,C)) | -element(E,powerset(the_carrier(c5))) | E != f200(c5,A,C,D) | subset_complement(the_carrier(c5),E) = f201(c5,A,C,D). [resolve(1790,i,1556,a)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | -in(D,f198(c16,A,C)) | -element(E,powerset(the_carrier(c16))) | E != f200(c16,A,C,D) | subset_complement(the_carrier(c16),E) = f201(c16,A,C,D). [resolve(1790,i,1592,a)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | -in(D,f198(c36,A,C)) | -element(E,powerset(the_carrier(c36))) | E != f200(c36,A,C,D) | subset_complement(the_carrier(c36),E) = f201(c36,A,C,D). [resolve(1790,i,1625,a)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | -in(D,f198(c37,A,C)) | -element(E,powerset(the_carrier(c37))) | E != f200(c37,A,C,D) | subset_complement(the_carrier(c37),E) = f201(c37,A,C,D). [resolve(1790,i,1628,a)]. 26.92/27.78 1791 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E | -rel_str(B). [resolve(832,b,751,b)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | ordered_pair(f200(rel_str_of(B,C),A,E,F),f201(rel_str_of(B,C),A,E,F)) = F | -relation_of2(C,B,B). [resolve(1791,g,1554,b)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | ordered_pair(f200(poset_of_lattice(B),A,D,E),f201(poset_of_lattice(B),A,D,E)) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1791,g,1555,d)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | -in(D,f198(c5,A,C)) | ordered_pair(f200(c5,A,C,D),f201(c5,A,C,D)) = D. [resolve(1791,g,1556,a)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | -in(D,f198(c16,A,C)) | ordered_pair(f200(c16,A,C,D),f201(c16,A,C,D)) = D. [resolve(1791,g,1592,a)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | -in(D,f198(c36,A,C)) | ordered_pair(f200(c36,A,C,D),f201(c36,A,C,D)) = D. [resolve(1791,g,1625,a)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | -in(D,f198(c37,A,C)) | ordered_pair(f200(c37,A,C,D),f201(c37,A,C,D)) = D. [resolve(1791,g,1628,a)]. 26.92/27.78 1792 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E | -rel_str(B). [resolve(833,b,751,b)]. 26.92/27.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | f199(rel_str_of(B,C),A,E,F) = F | -relation_of2(C,B,B). [resolve(1792,g,1554,b)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | f199(poset_of_lattice(B),A,D,E) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1792,g,1555,d)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | -in(D,f198(c5,A,C)) | f199(c5,A,C,D) = D. [resolve(1792,g,1556,a)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | -in(D,f198(c16,A,C)) | f199(c16,A,C,D) = D. [resolve(1792,g,1592,a)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | -in(D,f198(c36,A,C)) | f199(c36,A,C,D) = D. [resolve(1792,g,1625,a)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | -in(D,f198(c37,A,C)) | f199(c37,A,C,D) = D. [resolve(1792,g,1628,a)]. 26.92/27.81 1793 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) | -rel_str(B). [resolve(834,b,751,b)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | in(f199(rel_str_of(B,C),A,E,F),cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1793,g,1554,b)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | in(f199(poset_of_lattice(B),A,D,E),cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1793,g,1555,d)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | -in(D,f198(c5,A,C)) | in(f199(c5,A,C,D),cartesian_product2(A,C)). [resolve(1793,g,1556,a)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | -in(D,f198(c16,A,C)) | in(f199(c16,A,C,D),cartesian_product2(A,C)). [resolve(1793,g,1592,a)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | -in(D,f198(c36,A,C)) | in(f199(c36,A,C,D),cartesian_product2(A,C)). [resolve(1793,g,1625,a)]. 26.92/27.81 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | -in(D,f198(c37,A,C)) | in(f199(c37,A,C,D),cartesian_product2(A,C)). [resolve(1793,g,1628,a)]. 26.92/27.81 1794 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(835,b,751,b)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | in(F,f198(rel_str_of(B,C),A,E)) | -in(V6,A) | element(f202(rel_str_of(B,C),A,E,F,V7,V6,V8),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1794,k,1554,b)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | in(E,f198(poset_of_lattice(B),A,D)) | -in(F,A) | element(f202(poset_of_lattice(B),A,D,E,V6,F,V7),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1794,k,1555,d)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | in(D,f198(c5,A,C)) | -in(E,A) | element(f202(c5,A,C,D,F,E,V6),powerset(the_carrier(c5))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1794,k,1556,a)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | in(D,f198(c16,A,C)) | -in(E,A) | element(f202(c16,A,C,D,F,E,V6),powerset(the_carrier(c16))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1794,k,1592,a)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | in(D,f198(c36,A,C)) | -in(E,A) | element(f202(c36,A,C,D,F,E,V6),powerset(the_carrier(c36))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1794,k,1625,a)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | in(D,f198(c37,A,C)) | -in(E,A) | element(f202(c37,A,C,D,F,E,V6),powerset(the_carrier(c37))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1794,k,1628,a)]. 26.92/27.83 1795 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(836,b,751,b)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | in(F,f198(rel_str_of(B,C),A,E)) | -in(V6,A) | f202(rel_str_of(B,C),A,E,F,V7,V6,V8) = V6 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1795,k,1554,b)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | in(E,f198(poset_of_lattice(B),A,D)) | -in(F,A) | f202(poset_of_lattice(B),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1795,k,1555,d)]. 26.92/27.83 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | in(D,f198(c5,A,C)) | -in(E,A) | f202(c5,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1795,k,1556,a)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | in(D,f198(c16,A,C)) | -in(E,A) | f202(c16,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1795,k,1592,a)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | in(D,f198(c36,A,C)) | -in(E,A) | f202(c36,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1795,k,1625,a)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | in(D,f198(c37,A,C)) | -in(E,A) | f202(c37,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1795,k,1628,a)]. 27.00/27.86 1796 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f194(B,A,D) != C | subset_complement(the_carrier(B),C) = f195(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(837,b,751,b)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f194(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f195(rel_str_of(B,C),A,E) | in(F,f198(rel_str_of(B,C),A,E)) | -in(V6,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,E,F,V7,V6,V8)) != V8 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1796,k,1554,b)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f194(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f195(poset_of_lattice(B),A,D) | in(E,f198(poset_of_lattice(B),A,D)) | -in(F,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1796,k,1555,d)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f194(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f195(c5,A,C) | in(D,f198(c5,A,C)) | -in(E,A) | subset_complement(the_carrier(c5),f202(c5,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1796,k,1556,a)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f194(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f195(c16,A,C) | in(D,f198(c16,A,C)) | -in(E,A) | subset_complement(the_carrier(c16),f202(c16,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1796,k,1592,a)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f194(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f195(c36,A,C) | in(D,f198(c36,A,C)) | -in(E,A) | subset_complement(the_carrier(c36),f202(c36,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1796,k,1625,a)]. 27.00/27.86 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f194(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f195(c37,A,C) | in(D,f198(c37,A,C)) | -in(E,A) | subset_complement(the_carrier(c37),f202(c37,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1796,k,1628,a)]. 27.00/27.86 1797 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(838,b,751,b)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1797,e,1554,b)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1797,e,1555,d)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1797,e,1556,a)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1797,e,1592,a)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1797,e,1625,a)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1797,e,1628,a)]. 27.05/27.89 1798 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(839,b,751,b)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1798,g,1554,b)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1798,g,1555,d)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1798,g,1556,a)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1798,g,1592,a)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1798,g,1625,a)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1798,g,1628,a)]. 27.05/27.89 1799 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(840,b,751,b)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1799,e,1554,b)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1799,e,1555,d)]. 27.05/27.89 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1799,e,1556,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1799,e,1592,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1799,e,1625,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1799,e,1628,a)]. 27.05/27.93 1800 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(841,b,751,b)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1800,e,1554,b)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1800,e,1555,d)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1800,e,1556,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1800,e,1592,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1800,e,1625,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1800,e,1628,a)]. 27.05/27.93 1801 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(842,b,751,b)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1801,e,1554,b)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1801,e,1555,d)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1801,e,1556,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1801,e,1592,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1801,e,1625,a)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1801,e,1628,a)]. 27.05/27.93 1802 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(843,b,751,b)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1802,i,1554,b)]. 27.05/27.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1802,i,1555,d)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1802,i,1556,a)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1802,i,1592,a)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1802,i,1625,a)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1802,i,1628,a)]. 27.12/27.96 1803 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(844,b,751,b)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1803,i,1554,b)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1803,i,1555,d)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1803,i,1556,a)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1803,i,1592,a)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1803,i,1625,a)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1803,i,1628,a)]. 27.12/27.96 1804 -element(A,powerset(powerset(the_carrier(B)))) | in(f194(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(845,b,751,b)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f194(rel_str_of(B,C),A,D),A) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1804,i,1554,b)]. 27.12/27.96 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f194(poset_of_lattice(B),A,C),A) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1804,i,1555,d)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f194(c5,A,B),A) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1804,i,1556,a)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f194(c16,A,B),A) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1804,i,1592,a)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f194(c36,A,B),A) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1804,i,1625,a)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f194(c37,A,B),A) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1804,i,1628,a)]. 27.14/27.99 1805 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(846,b,751,b)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1805,e,1554,b)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1805,e,1555,d)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1805,e,1556,a)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1805,e,1592,a)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1805,e,1625,a)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1805,e,1628,a)]. 27.14/27.99 1806 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(847,b,751,b)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1806,g,1554,b)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1806,g,1555,d)]. 27.14/27.99 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1806,g,1556,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1806,g,1592,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1806,g,1625,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1806,g,1628,a)]. 27.14/28.02 1807 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(848,b,751,b)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1807,e,1554,b)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1807,e,1555,d)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1807,e,1556,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1807,e,1592,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1807,e,1625,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1807,e,1628,a)]. 27.14/28.02 1808 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(849,b,751,b)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1808,e,1554,b)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1808,e,1555,d)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1808,e,1556,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1808,e,1592,a)]. 27.14/28.02 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1808,e,1625,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1808,e,1628,a)]. 27.20/28.05 1809 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(850,b,751,b)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1809,e,1554,b)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1809,e,1555,d)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1809,e,1556,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1809,e,1592,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1809,e,1625,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1809,e,1628,a)]. 27.20/28.05 1810 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(851,b,751,b)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1810,i,1554,b)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1810,i,1555,d)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1810,i,1556,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1810,i,1592,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1810,i,1625,a)]. 27.20/28.05 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1810,i,1628,a)]. 27.22/28.07 1811 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(852,b,751,b)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1811,i,1554,b)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1811,i,1555,d)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1811,i,1556,a)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1811,i,1592,a)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1811,i,1625,a)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1811,i,1628,a)]. 27.22/28.07 1812 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f194(B,A,C),f195(B,A,C)) = f193(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(853,b,751,b)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f194(rel_str_of(B,C),A,D),f195(rel_str_of(B,C),A,D)) = f193(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1812,i,1554,b)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f194(poset_of_lattice(B),A,C),f195(poset_of_lattice(B),A,C)) = f193(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1812,i,1555,d)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f194(c5,A,B),f195(c5,A,B)) = f193(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1812,i,1556,a)]. 27.22/28.07 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f194(c16,A,B),f195(c16,A,B)) = f193(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1812,i,1592,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f194(c36,A,B),f195(c36,A,B)) = f193(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1812,i,1625,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f194(c37,A,B),f195(c37,A,B)) = f193(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1812,i,1628,a)]. 27.22/28.11 1813 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(854,b,751,b)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1813,e,1554,b)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1813,e,1555,d)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1813,e,1556,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1813,e,1592,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1813,e,1625,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1813,e,1628,a)]. 27.22/28.11 1814 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(855,b,751,b)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1814,g,1554,b)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1814,g,1555,d)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1814,g,1556,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1814,g,1592,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1814,g,1625,a)]. 27.22/28.11 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1814,g,1628,a)]. 27.22/28.11 1815 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(856,b,751,b)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1815,e,1554,b)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1815,e,1555,d)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1815,e,1556,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1815,e,1592,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1815,e,1625,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1815,e,1628,a)]. 27.28/28.14 1816 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(857,b,751,b)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1816,e,1554,b)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1816,e,1555,d)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1816,e,1556,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1816,e,1592,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1816,e,1625,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1816,e,1628,a)]. 27.28/28.14 1817 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(858,b,751,b)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1817,e,1554,b)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1817,e,1555,d)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1817,e,1556,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1817,e,1592,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1817,e,1625,a)]. 27.28/28.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1817,e,1628,a)]. 27.32/28.17 1818 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(859,b,751,b)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1818,i,1554,b)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1818,i,1555,d)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1818,i,1556,a)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1818,i,1592,a)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1818,i,1625,a)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1818,i,1628,a)]. 27.32/28.17 1819 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(860,b,751,b)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1819,i,1554,b)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1819,i,1555,d)]. 27.32/28.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1819,i,1556,a)]. 27.32/28.18 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1819,i,1592,a)]. 27.32/28.18 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1819,i,1625,a)]. 27.32/28.18 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1819,i,1628,a)]. 27.32/28.18 1820 -element(A,powerset(powerset(the_carrier(B)))) | in(f196(B,A,C),A) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(861,b,751,b)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f196(rel_str_of(B,C),A,D),A) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1820,i,1554,b)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f196(poset_of_lattice(B),A,C),A) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1820,i,1555,d)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f196(c5,A,B),A) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1820,i,1556,a)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f196(c16,A,B),A) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1820,i,1592,a)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f196(c36,A,B),A) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1820,i,1625,a)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f196(c37,A,B),A) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1820,i,1628,a)]. 27.32/28.21 1821 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f200(B,A,D,E),A) | -rel_str(B). [resolve(862,b,751,b)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | in(f200(rel_str_of(B,C),A,E,F),A) | -relation_of2(C,B,B). [resolve(1821,g,1554,b)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | in(f200(poset_of_lattice(B),A,D,E),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1821,g,1555,d)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | -in(D,f198(c5,A,C)) | in(f200(c5,A,C,D),A). [resolve(1821,g,1556,a)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | -in(D,f198(c16,A,C)) | in(f200(c16,A,C,D),A). [resolve(1821,g,1592,a)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | -in(D,f198(c36,A,C)) | in(f200(c36,A,C,D),A). [resolve(1821,g,1625,a)]. 27.32/28.21 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | -in(D,f198(c37,A,C)) | in(f200(c37,A,C,D),A). [resolve(1821,g,1628,a)]. 27.32/28.21 1822 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f200(B,A,D,E) | subset_complement(the_carrier(B),F) = f201(B,A,D,E) | -rel_str(B). [resolve(863,b,751,b)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != f200(rel_str_of(B,C),A,E,F) | subset_complement(the_carrier(rel_str_of(B,C)),V6) = f201(rel_str_of(B,C),A,E,F) | -relation_of2(C,B,B). [resolve(1822,i,1554,b)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != f200(poset_of_lattice(B),A,D,E) | subset_complement(the_carrier(poset_of_lattice(B)),F) = f201(poset_of_lattice(B),A,D,E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1822,i,1555,d)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | -in(D,f198(c5,A,C)) | -element(E,powerset(the_carrier(c5))) | E != f200(c5,A,C,D) | subset_complement(the_carrier(c5),E) = f201(c5,A,C,D). [resolve(1822,i,1556,a)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | -in(D,f198(c16,A,C)) | -element(E,powerset(the_carrier(c16))) | E != f200(c16,A,C,D) | subset_complement(the_carrier(c16),E) = f201(c16,A,C,D). [resolve(1822,i,1592,a)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | -in(D,f198(c36,A,C)) | -element(E,powerset(the_carrier(c36))) | E != f200(c36,A,C,D) | subset_complement(the_carrier(c36),E) = f201(c36,A,C,D). [resolve(1822,i,1625,a)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | -in(D,f198(c37,A,C)) | -element(E,powerset(the_carrier(c37))) | E != f200(c37,A,C,D) | subset_complement(the_carrier(c37),E) = f201(c37,A,C,D). [resolve(1822,i,1628,a)]. 27.32/28.23 1823 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | ordered_pair(f200(B,A,D,E),f201(B,A,D,E)) = E | -rel_str(B). [resolve(864,b,751,b)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | ordered_pair(f200(rel_str_of(B,C),A,E,F),f201(rel_str_of(B,C),A,E,F)) = F | -relation_of2(C,B,B). [resolve(1823,g,1554,b)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | ordered_pair(f200(poset_of_lattice(B),A,D,E),f201(poset_of_lattice(B),A,D,E)) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1823,g,1555,d)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | -in(D,f198(c5,A,C)) | ordered_pair(f200(c5,A,C,D),f201(c5,A,C,D)) = D. [resolve(1823,g,1556,a)]. 27.32/28.23 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | -in(D,f198(c16,A,C)) | ordered_pair(f200(c16,A,C,D),f201(c16,A,C,D)) = D. [resolve(1823,g,1592,a)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | -in(D,f198(c36,A,C)) | ordered_pair(f200(c36,A,C,D),f201(c36,A,C,D)) = D. [resolve(1823,g,1625,a)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | -in(D,f198(c37,A,C)) | ordered_pair(f200(c37,A,C,D),f201(c37,A,C,D)) = D. [resolve(1823,g,1628,a)]. 27.41/28.26 1824 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | f199(B,A,D,E) = E | -rel_str(B). [resolve(865,b,751,b)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | f199(rel_str_of(B,C),A,E,F) = F | -relation_of2(C,B,B). [resolve(1824,g,1554,b)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | f199(poset_of_lattice(B),A,D,E) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1824,g,1555,d)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | -in(D,f198(c5,A,C)) | f199(c5,A,C,D) = D. [resolve(1824,g,1556,a)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | -in(D,f198(c16,A,C)) | f199(c16,A,C,D) = D. [resolve(1824,g,1592,a)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | -in(D,f198(c36,A,C)) | f199(c36,A,C,D) = D. [resolve(1824,g,1625,a)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | -in(D,f198(c37,A,C)) | f199(c37,A,C,D) = D. [resolve(1824,g,1628,a)]. 27.41/28.26 1825 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | -in(E,f198(B,A,D)) | in(f199(B,A,D,E),cartesian_product2(A,D)) | -rel_str(B). [resolve(866,b,751,b)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | -in(F,f198(rel_str_of(B,C),A,E)) | in(f199(rel_str_of(B,C),A,E,F),cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1825,g,1554,b)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | -in(E,f198(poset_of_lattice(B),A,D)) | in(f199(poset_of_lattice(B),A,D,E),cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1825,g,1555,d)]. 27.41/28.26 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | -in(D,f198(c5,A,C)) | in(f199(c5,A,C,D),cartesian_product2(A,C)). [resolve(1825,g,1556,a)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | -in(D,f198(c16,A,C)) | in(f199(c16,A,C,D),cartesian_product2(A,C)). [resolve(1825,g,1592,a)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | -in(D,f198(c36,A,C)) | in(f199(c36,A,C,D),cartesian_product2(A,C)). [resolve(1825,g,1625,a)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | -in(D,f198(c37,A,C)) | in(f199(c37,A,C,D),cartesian_product2(A,C)). [resolve(1825,g,1628,a)]. 27.45/28.30 1826 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | element(f202(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(867,b,751,b)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | in(F,f198(rel_str_of(B,C),A,E)) | -in(V6,A) | element(f202(rel_str_of(B,C),A,E,F,V7,V6,V8),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1826,k,1554,b)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | in(E,f198(poset_of_lattice(B),A,D)) | -in(F,A) | element(f202(poset_of_lattice(B),A,D,E,V6,F,V7),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1826,k,1555,d)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | in(D,f198(c5,A,C)) | -in(E,A) | element(f202(c5,A,C,D,F,E,V6),powerset(the_carrier(c5))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1826,k,1556,a)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | in(D,f198(c16,A,C)) | -in(E,A) | element(f202(c16,A,C,D,F,E,V6),powerset(the_carrier(c16))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1826,k,1592,a)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | in(D,f198(c36,A,C)) | -in(E,A) | element(f202(c36,A,C,D,F,E,V6),powerset(the_carrier(c36))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1826,k,1625,a)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | in(D,f198(c37,A,C)) | -in(E,A) | element(f202(c37,A,C,D,F,E,V6),powerset(the_carrier(c37))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1826,k,1628,a)]. 27.45/28.30 1827 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | f202(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(868,b,751,b)]. 27.45/28.30 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | in(F,f198(rel_str_of(B,C),A,E)) | -in(V6,A) | f202(rel_str_of(B,C),A,E,F,V7,V6,V8) = V6 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1827,k,1554,b)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | in(E,f198(poset_of_lattice(B),A,D)) | -in(F,A) | f202(poset_of_lattice(B),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1827,k,1555,d)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | in(D,f198(c5,A,C)) | -in(E,A) | f202(c5,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1827,k,1556,a)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | in(D,f198(c16,A,C)) | -in(E,A) | f202(c16,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1827,k,1592,a)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | in(D,f198(c36,A,C)) | -in(E,A) | f202(c36,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1827,k,1625,a)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | in(D,f198(c37,A,C)) | -in(E,A) | f202(c37,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1827,k,1628,a)]. 27.45/28.32 1828 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f196(B,A,D) | subset_complement(the_carrier(B),C) = f197(B,A,D) | in(E,f198(B,A,D)) | -in(F,A) | subset_complement(the_carrier(B),f202(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -rel_str(B). [resolve(869,b,751,b)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f196(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f197(rel_str_of(B,C),A,E) | in(F,f198(rel_str_of(B,C),A,E)) | -in(V6,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,E,F,V7,V6,V8)) != V8 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(A,E)) | -relation_of2(C,B,B). [resolve(1828,k,1554,b)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f196(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f197(poset_of_lattice(B),A,D) | in(E,f198(poset_of_lattice(B),A,D)) | -in(F,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1828,k,1555,d)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f196(c5,A,C) | subset_complement(the_carrier(c5),B) = f197(c5,A,C) | in(D,f198(c5,A,C)) | -in(E,A) | subset_complement(the_carrier(c5),f202(c5,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1828,k,1556,a)]. 27.45/28.32 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f196(c16,A,C) | subset_complement(the_carrier(c16),B) = f197(c16,A,C) | in(D,f198(c16,A,C)) | -in(E,A) | subset_complement(the_carrier(c16),f202(c16,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1828,k,1592,a)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f196(c36,A,C) | subset_complement(the_carrier(c36),B) = f197(c36,A,C) | in(D,f198(c36,A,C)) | -in(E,A) | subset_complement(the_carrier(c36),f202(c36,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1828,k,1625,a)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f196(c37,A,C) | subset_complement(the_carrier(c37),B) = f197(c37,A,C) | in(D,f198(c37,A,C)) | -in(E,A) | subset_complement(the_carrier(c37),f202(c37,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)). [resolve(1828,k,1628,a)]. 27.51/28.35 1829 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(870,b,751,b)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1829,e,1554,b)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1829,e,1555,d)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1829,e,1556,a)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1829,e,1592,a)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1829,e,1625,a)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1829,e,1628,a)]. 27.51/28.35 1830 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(871,b,751,b)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1830,g,1554,b)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1830,g,1555,d)]. 27.51/28.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1830,g,1556,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1830,g,1592,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1830,g,1625,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1830,g,1628,a)]. 27.53/28.38 1831 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(872,b,751,b)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1831,e,1554,b)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1831,e,1555,d)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1831,e,1556,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1831,e,1592,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1831,e,1625,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1831,e,1628,a)]. 27.53/28.38 1832 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(873,b,751,b)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1832,e,1554,b)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1832,e,1555,d)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1832,e,1556,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1832,e,1592,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1832,e,1625,a)]. 27.53/28.38 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1832,e,1628,a)]. 27.53/28.41 1833 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(874,b,751,b)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1833,e,1554,b)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1833,e,1555,d)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1833,e,1556,a)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1833,e,1592,a)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1833,e,1625,a)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1833,e,1628,a)]. 27.53/28.41 1834 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(875,b,751,b)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1834,i,1554,b)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1834,i,1555,d)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1834,i,1556,a)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1834,i,1592,a)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1834,i,1625,a)]. 27.53/28.41 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1834,i,1628,a)]. 27.59/28.44 1835 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(876,b,751,b)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1835,i,1554,b)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1835,i,1555,d)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1835,i,1556,a)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1835,i,1592,a)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1835,i,1625,a)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1835,i,1628,a)]. 27.59/28.44 1836 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f196(B,A,C),f197(B,A,C)) = f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(877,b,751,b)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f196(rel_str_of(B,C),A,D),f197(rel_str_of(B,C),A,D)) = f192(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1836,i,1554,b)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f196(poset_of_lattice(B),A,C),f197(poset_of_lattice(B),A,C)) = f192(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1836,i,1555,d)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f196(c5,A,B),f197(c5,A,B)) = f192(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1836,i,1556,a)]. 27.59/28.44 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f196(c16,A,B),f197(c16,A,B)) = f192(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1836,i,1592,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f196(c36,A,B),f197(c36,A,B)) = f192(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1836,i,1625,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f196(c37,A,B),f197(c37,A,B)) = f192(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1836,i,1628,a)]. 27.59/28.47 1837 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(878,b,751,b)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1837,e,1554,b)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1837,e,1555,d)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1837,e,1556,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1837,e,1592,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1837,e,1625,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1837,e,1628,a)]. 27.59/28.47 1838 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(879,b,751,b)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1838,g,1554,b)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1838,g,1555,d)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1838,g,1556,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1838,g,1592,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1838,g,1625,a)]. 27.59/28.47 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1838,g,1628,a)]. 27.65/28.50 1839 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(880,b,751,b)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1839,e,1554,b)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1839,e,1555,d)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1839,e,1556,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1839,e,1592,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1839,e,1625,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1839,e,1628,a)]. 27.65/28.50 1840 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(881,b,751,b)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1840,e,1554,b)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1840,e,1555,d)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1840,e,1556,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1840,e,1592,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1840,e,1625,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1840,e,1628,a)]. 27.65/28.50 1841 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(882,b,751,b)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1841,e,1554,b)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1841,e,1555,d)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1841,e,1556,a)]. 27.65/28.50 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1841,e,1592,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1841,e,1625,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1841,e,1628,a)]. 27.65/28.54 1842 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(883,b,751,b)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1842,i,1554,b)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1842,i,1555,d)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1842,i,1556,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1842,i,1592,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1842,i,1625,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1842,i,1628,a)]. 27.65/28.54 1843 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(884,b,751,b)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1843,i,1554,b)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1843,i,1555,d)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1843,i,1556,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1843,i,1592,a)]. 27.65/28.54 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1843,i,1625,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1843,i,1628,a)]. 27.73/28.57 1844 -element(A,powerset(powerset(the_carrier(B)))) | f192(B,A,C) = f191(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(885,b,751,b)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f192(rel_str_of(B,C),A,D) = f191(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1844,i,1554,b)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f192(poset_of_lattice(B),A,C) = f191(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1844,i,1555,d)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f192(c5,A,B) = f191(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1844,i,1556,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f192(c16,A,B) = f191(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1844,i,1592,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f192(c36,A,B) = f191(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1844,i,1625,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f192(c37,A,B) = f191(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1844,i,1628,a)]. 27.73/28.57 1845 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f200(B,A,C,D),A) | -rel_str(B). [resolve(886,b,751,b)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f200(rel_str_of(B,C),A,D,E),A) | -relation_of2(C,B,B). [resolve(1845,e,1554,b)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f200(poset_of_lattice(B),A,C,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1845,e,1555,d)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | -in(C,f198(c5,A,B)) | in(f200(c5,A,B,C),A). [resolve(1845,e,1556,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | -in(C,f198(c16,A,B)) | in(f200(c16,A,B,C),A). [resolve(1845,e,1592,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | -in(C,f198(c36,A,B)) | in(f200(c36,A,B,C),A). [resolve(1845,e,1625,a)]. 27.73/28.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | -in(C,f198(c37,A,B)) | in(f200(c37,A,B,C),A). [resolve(1845,e,1628,a)]. 27.73/28.57 1846 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f200(B,A,C,D) | subset_complement(the_carrier(B),E) = f201(B,A,C,D) | -rel_str(B). [resolve(887,b,751,b)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f200(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f201(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1846,g,1554,b)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f200(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f201(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1846,g,1555,d)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | -in(C,f198(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f200(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f201(c5,A,B,C). [resolve(1846,g,1556,a)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | -in(C,f198(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f200(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f201(c16,A,B,C). [resolve(1846,g,1592,a)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | -in(C,f198(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f200(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f201(c36,A,B,C). [resolve(1846,g,1625,a)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | -in(C,f198(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f200(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f201(c37,A,B,C). [resolve(1846,g,1628,a)]. 27.76/28.60 1847 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | ordered_pair(f200(B,A,C,D),f201(B,A,C,D)) = D | -rel_str(B). [resolve(888,b,751,b)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | ordered_pair(f200(rel_str_of(B,C),A,D,E),f201(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1847,e,1554,b)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | ordered_pair(f200(poset_of_lattice(B),A,C,D),f201(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1847,e,1555,d)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | -in(C,f198(c5,A,B)) | ordered_pair(f200(c5,A,B,C),f201(c5,A,B,C)) = C. [resolve(1847,e,1556,a)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | -in(C,f198(c16,A,B)) | ordered_pair(f200(c16,A,B,C),f201(c16,A,B,C)) = C. [resolve(1847,e,1592,a)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | -in(C,f198(c36,A,B)) | ordered_pair(f200(c36,A,B,C),f201(c36,A,B,C)) = C. [resolve(1847,e,1625,a)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | -in(C,f198(c37,A,B)) | ordered_pair(f200(c37,A,B,C),f201(c37,A,B,C)) = C. [resolve(1847,e,1628,a)]. 27.76/28.60 1848 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | f199(B,A,C,D) = D | -rel_str(B). [resolve(889,b,751,b)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | f199(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1848,e,1554,b)]. 27.76/28.60 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | f199(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1848,e,1555,d)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | -in(C,f198(c5,A,B)) | f199(c5,A,B,C) = C. [resolve(1848,e,1556,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | -in(C,f198(c16,A,B)) | f199(c16,A,B,C) = C. [resolve(1848,e,1592,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | -in(C,f198(c36,A,B)) | f199(c36,A,B,C) = C. [resolve(1848,e,1625,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | -in(C,f198(c37,A,B)) | f199(c37,A,B,C) = C. [resolve(1848,e,1628,a)]. 27.80/28.63 1849 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | -in(D,f198(B,A,C)) | in(f199(B,A,C,D),cartesian_product2(A,C)) | -rel_str(B). [resolve(890,b,751,b)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | -in(E,f198(rel_str_of(B,C),A,D)) | in(f199(rel_str_of(B,C),A,D,E),cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1849,e,1554,b)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | -in(D,f198(poset_of_lattice(B),A,C)) | in(f199(poset_of_lattice(B),A,C,D),cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1849,e,1555,d)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | -in(C,f198(c5,A,B)) | in(f199(c5,A,B,C),cartesian_product2(A,B)). [resolve(1849,e,1556,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | -in(C,f198(c16,A,B)) | in(f199(c16,A,B,C),cartesian_product2(A,B)). [resolve(1849,e,1592,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | -in(C,f198(c36,A,B)) | in(f199(c36,A,B,C),cartesian_product2(A,B)). [resolve(1849,e,1625,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | -in(C,f198(c37,A,B)) | in(f199(c37,A,B,C),cartesian_product2(A,B)). [resolve(1849,e,1628,a)]. 27.80/28.63 1850 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | element(f202(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(891,b,751,b)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | element(f202(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1850,i,1554,b)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | element(f202(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1850,i,1555,d)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | element(f202(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1850,i,1556,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | element(f202(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1850,i,1592,a)]. 27.80/28.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | element(f202(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1850,i,1625,a)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | element(f202(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1850,i,1628,a)]. 27.80/28.66 1851 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | f202(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(892,b,751,b)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | f202(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1851,i,1554,b)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | f202(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1851,i,1555,d)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | f202(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1851,i,1556,a)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | f202(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1851,i,1592,a)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | f202(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1851,i,1625,a)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | f202(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1851,i,1628,a)]. 27.80/28.66 1852 -element(A,powerset(powerset(the_carrier(B)))) | f193(B,A,C) != f192(B,A,C) | in(D,f198(B,A,C)) | -in(E,A) | subset_complement(the_carrier(B),f202(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -rel_str(B). [resolve(893,b,751,b)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f193(rel_str_of(B,C),A,D) != f192(rel_str_of(B,C),A,D) | in(E,f198(rel_str_of(B,C),A,D)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f202(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(A,D)) | -relation_of2(C,B,B). [resolve(1852,i,1554,b)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f193(poset_of_lattice(B),A,C) != f192(poset_of_lattice(B),A,C) | in(D,f198(poset_of_lattice(B),A,C)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f202(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(A,C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1852,i,1555,d)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f193(c5,A,B) != f192(c5,A,B) | in(C,f198(c5,A,B)) | -in(D,A) | subset_complement(the_carrier(c5),f202(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1852,i,1556,a)]. 27.80/28.66 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f193(c16,A,B) != f192(c16,A,B) | in(C,f198(c16,A,B)) | -in(D,A) | subset_complement(the_carrier(c16),f202(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1852,i,1592,a)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f193(c36,A,B) != f192(c36,A,B) | in(C,f198(c36,A,B)) | -in(D,A) | subset_complement(the_carrier(c36),f202(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1852,i,1625,a)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f193(c37,A,B) != f192(c37,A,B) | in(C,f198(c37,A,B)) | -in(D,A) | subset_complement(the_carrier(c37),f202(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(A,B)). [resolve(1852,i,1628,a)]. 27.87/28.70 1853 element(empty_carrier_subset(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(894,a,751,b)]. 27.87/28.70 Derived: element(empty_carrier_subset(rel_str_of(A,B)),powerset(the_carrier(rel_str_of(A,B)))) | -relation_of2(B,A,A). [resolve(1853,b,1554,b)]. 27.87/28.70 Derived: element(empty_carrier_subset(poset_of_lattice(A)),powerset(the_carrier(poset_of_lattice(A)))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1853,b,1555,d)]. 27.87/28.70 Derived: element(empty_carrier_subset(c5),powerset(the_carrier(c5))). [resolve(1853,b,1556,a)]. 27.87/28.70 Derived: element(empty_carrier_subset(c16),powerset(the_carrier(c16))). [resolve(1853,b,1592,a)]. 27.87/28.70 Derived: element(empty_carrier_subset(c36),powerset(the_carrier(c36))). [resolve(1853,b,1625,a)]. 27.87/28.70 Derived: element(empty_carrier_subset(c37),powerset(the_carrier(c37))). [resolve(1853,b,1628,a)]. 27.87/28.70 1854 element(cast_as_carrier_subset(A),powerset(the_carrier(A))) | -rel_str(A). [resolve(895,a,751,b)]. 27.87/28.70 Derived: element(cast_as_carrier_subset(rel_str_of(A,B)),powerset(the_carrier(rel_str_of(A,B)))) | -relation_of2(B,A,A). [resolve(1854,b,1554,b)]. 27.87/28.70 Derived: element(cast_as_carrier_subset(poset_of_lattice(A)),powerset(the_carrier(poset_of_lattice(A)))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1854,b,1555,d)]. 27.87/28.70 Derived: element(cast_as_carrier_subset(c5),powerset(the_carrier(c5))). [resolve(1854,b,1556,a)]. 27.87/28.70 Derived: element(cast_as_carrier_subset(c16),powerset(the_carrier(c16))). [resolve(1854,b,1592,a)]. 27.87/28.70 Derived: element(cast_as_carrier_subset(c36),powerset(the_carrier(c36))). [resolve(1854,b,1625,a)]. 27.87/28.70 Derived: element(cast_as_carrier_subset(c37),powerset(the_carrier(c37))). [resolve(1854,b,1628,a)]. 27.87/28.70 1855 -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) | -rel_str(B). [resolve(896,b,751,b)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f211(rel_str_of(B,C),A),A) | -in(D,f214(rel_str_of(B,C),A)) | in(f215(rel_str_of(B,C),A,D),A) | -relation_of2(C,B,B). [resolve(1855,e,1554,b)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f211(poset_of_lattice(B),A),A) | -in(C,f214(poset_of_lattice(B),A)) | in(f215(poset_of_lattice(B),A,C),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1855,e,1555,d)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f211(c5,A),A) | -in(B,f214(c5,A)) | in(f215(c5,A,B),A). [resolve(1855,e,1556,a)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f211(c16,A),A) | -in(B,f214(c16,A)) | in(f215(c16,A,B),A). [resolve(1855,e,1592,a)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f211(c36,A),A) | -in(B,f214(c36,A)) | in(f215(c36,A,B),A). [resolve(1855,e,1625,a)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f211(c37,A),A) | -in(B,f214(c37,A)) | in(f215(c37,A,B),A). [resolve(1855,e,1628,a)]. 27.87/28.70 1856 -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C | -rel_str(B). [resolve(897,b,751,b)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f211(rel_str_of(B,C),A),A) | -in(D,f214(rel_str_of(B,C),A)) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != f215(rel_str_of(B,C),A,D) | subset_complement(the_carrier(rel_str_of(B,C)),E) = D | -relation_of2(C,B,B). [resolve(1856,g,1554,b)]. 27.87/28.70 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f211(poset_of_lattice(B),A),A) | -in(C,f214(poset_of_lattice(B),A)) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != f215(poset_of_lattice(B),A,C) | subset_complement(the_carrier(poset_of_lattice(B)),D) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1856,g,1555,d)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f211(c5,A),A) | -in(B,f214(c5,A)) | -element(C,powerset(the_carrier(c5))) | C != f215(c5,A,B) | subset_complement(the_carrier(c5),C) = B. [resolve(1856,g,1556,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f211(c16,A),A) | -in(B,f214(c16,A)) | -element(C,powerset(the_carrier(c16))) | C != f215(c16,A,B) | subset_complement(the_carrier(c16),C) = B. [resolve(1856,g,1592,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f211(c36,A),A) | -in(B,f214(c36,A)) | -element(C,powerset(the_carrier(c36))) | C != f215(c36,A,B) | subset_complement(the_carrier(c36),C) = B. [resolve(1856,g,1625,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f211(c37,A),A) | -in(B,f214(c37,A)) | -element(C,powerset(the_carrier(c37))) | C != f215(c37,A,B) | subset_complement(the_carrier(c37),C) = B. [resolve(1856,g,1628,a)]. 27.87/28.74 1857 -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(898,b,751,b)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f211(rel_str_of(B,C),A),A) | in(D,f214(rel_str_of(B,C),A)) | -in(E,A) | element(f216(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1857,f,1554,b)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f211(poset_of_lattice(B),A),A) | in(C,f214(poset_of_lattice(B),A)) | -in(D,A) | element(f216(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1857,f,1555,d)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f211(c5,A),A) | in(B,f214(c5,A)) | -in(C,A) | element(f216(c5,A,B,C),powerset(the_carrier(c5))). [resolve(1857,f,1556,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f211(c16,A),A) | in(B,f214(c16,A)) | -in(C,A) | element(f216(c16,A,B,C),powerset(the_carrier(c16))). [resolve(1857,f,1592,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f211(c36,A),A) | in(B,f214(c36,A)) | -in(C,A) | element(f216(c36,A,B,C),powerset(the_carrier(c36))). [resolve(1857,f,1625,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f211(c37,A),A) | in(B,f214(c37,A)) | -in(C,A) | element(f216(c37,A,B,C),powerset(the_carrier(c37))). [resolve(1857,f,1628,a)]. 27.87/28.74 1858 -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D | -rel_str(B). [resolve(899,b,751,b)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f211(rel_str_of(B,C),A),A) | in(D,f214(rel_str_of(B,C),A)) | -in(E,A) | f216(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1858,f,1554,b)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f211(poset_of_lattice(B),A),A) | in(C,f214(poset_of_lattice(B),A)) | -in(D,A) | f216(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1858,f,1555,d)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f211(c5,A),A) | in(B,f214(c5,A)) | -in(C,A) | f216(c5,A,B,C) = C. [resolve(1858,f,1556,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f211(c16,A),A) | in(B,f214(c16,A)) | -in(C,A) | f216(c16,A,B,C) = C. [resolve(1858,f,1592,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f211(c36,A),A) | in(B,f214(c36,A)) | -in(C,A) | f216(c36,A,B,C) = C. [resolve(1858,f,1625,a)]. 27.87/28.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f211(c37,A),A) | in(B,f214(c37,A)) | -in(C,A) | f216(c37,A,B,C) = C. [resolve(1858,f,1628,a)]. 27.87/28.74 1859 -element(A,powerset(powerset(the_carrier(B)))) | in(f211(B,A),A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C | -rel_str(B). [resolve(900,b,751,b)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f211(rel_str_of(B,C),A),A) | in(D,f214(rel_str_of(B,C),A)) | -in(E,A) | subset_complement(the_carrier(rel_str_of(B,C)),f216(rel_str_of(B,C),A,D,E)) != D | -relation_of2(C,B,B). [resolve(1859,f,1554,b)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f211(poset_of_lattice(B),A),A) | in(C,f214(poset_of_lattice(B),A)) | -in(D,A) | subset_complement(the_carrier(poset_of_lattice(B)),f216(poset_of_lattice(B),A,C,D)) != C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1859,f,1555,d)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f211(c5,A),A) | in(B,f214(c5,A)) | -in(C,A) | subset_complement(the_carrier(c5),f216(c5,A,B,C)) != B. [resolve(1859,f,1556,a)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f211(c16,A),A) | in(B,f214(c16,A)) | -in(C,A) | subset_complement(the_carrier(c16),f216(c16,A,B,C)) != B. [resolve(1859,f,1592,a)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f211(c36,A),A) | in(B,f214(c36,A)) | -in(C,A) | subset_complement(the_carrier(c36),f216(c36,A,B,C)) != B. [resolve(1859,f,1625,a)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f211(c37,A),A) | in(B,f214(c37,A)) | -in(C,A) | subset_complement(the_carrier(c37),f216(c37,A,B,C)) != B. [resolve(1859,f,1628,a)]. 27.93/28.78 1860 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) | -rel_str(B). [resolve(901,b,751,b)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f213(rel_str_of(B,C),A) | -in(E,f214(rel_str_of(B,C),A)) | in(f215(rel_str_of(B,C),A,E),A) | -relation_of2(C,B,B). [resolve(1860,g,1554,b)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f213(poset_of_lattice(B),A) | -in(D,f214(poset_of_lattice(B),A)) | in(f215(poset_of_lattice(B),A,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1860,g,1555,d)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f213(c5,A) | -in(C,f214(c5,A)) | in(f215(c5,A,C),A). [resolve(1860,g,1556,a)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f213(c16,A) | -in(C,f214(c16,A)) | in(f215(c16,A,C),A). [resolve(1860,g,1592,a)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f213(c36,A) | -in(C,f214(c36,A)) | in(f215(c36,A,C),A). [resolve(1860,g,1625,a)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f213(c37,A) | -in(C,f214(c37,A)) | in(f215(c37,A,C),A). [resolve(1860,g,1628,a)]. 27.93/28.78 1861 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(902,b,751,b)]. 27.93/28.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f213(rel_str_of(B,C),A) | -in(E,f214(rel_str_of(B,C),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f215(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = E | -relation_of2(C,B,B). [resolve(1861,i,1554,b)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f213(poset_of_lattice(B),A) | -in(D,f214(poset_of_lattice(B),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f215(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1861,i,1555,d)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f213(c5,A) | -in(C,f214(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != f215(c5,A,C) | subset_complement(the_carrier(c5),D) = C. [resolve(1861,i,1556,a)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f213(c16,A) | -in(C,f214(c16,A)) | -element(D,powerset(the_carrier(c16))) | D != f215(c16,A,C) | subset_complement(the_carrier(c16),D) = C. [resolve(1861,i,1592,a)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f213(c36,A) | -in(C,f214(c36,A)) | -element(D,powerset(the_carrier(c36))) | D != f215(c36,A,C) | subset_complement(the_carrier(c36),D) = C. [resolve(1861,i,1625,a)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f213(c37,A) | -in(C,f214(c37,A)) | -element(D,powerset(the_carrier(c37))) | D != f215(c37,A,C) | subset_complement(the_carrier(c37),D) = C. [resolve(1861,i,1628,a)]. 27.93/28.81 1862 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(903,b,751,b)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f213(rel_str_of(B,C),A) | in(E,f214(rel_str_of(B,C),A)) | -in(F,A) | element(f216(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1862,h,1554,b)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f213(poset_of_lattice(B),A) | in(D,f214(poset_of_lattice(B),A)) | -in(E,A) | element(f216(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1862,h,1555,d)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f213(c5,A) | in(C,f214(c5,A)) | -in(D,A) | element(f216(c5,A,C,D),powerset(the_carrier(c5))). [resolve(1862,h,1556,a)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f213(c16,A) | in(C,f214(c16,A)) | -in(D,A) | element(f216(c16,A,C,D),powerset(the_carrier(c16))). [resolve(1862,h,1592,a)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f213(c36,A) | in(C,f214(c36,A)) | -in(D,A) | element(f216(c36,A,C,D),powerset(the_carrier(c36))). [resolve(1862,h,1625,a)]. 27.93/28.81 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f213(c37,A) | in(C,f214(c37,A)) | -in(D,A) | element(f216(c37,A,C,D),powerset(the_carrier(c37))). [resolve(1862,h,1628,a)]. 27.93/28.84 1863 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E | -rel_str(B). [resolve(904,b,751,b)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f213(rel_str_of(B,C),A) | in(E,f214(rel_str_of(B,C),A)) | -in(F,A) | f216(rel_str_of(B,C),A,E,F) = F | -relation_of2(C,B,B). [resolve(1863,h,1554,b)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f213(poset_of_lattice(B),A) | in(D,f214(poset_of_lattice(B),A)) | -in(E,A) | f216(poset_of_lattice(B),A,D,E) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1863,h,1555,d)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f213(c5,A) | in(C,f214(c5,A)) | -in(D,A) | f216(c5,A,C,D) = D. [resolve(1863,h,1556,a)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f213(c16,A) | in(C,f214(c16,A)) | -in(D,A) | f216(c16,A,C,D) = D. [resolve(1863,h,1592,a)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f213(c36,A) | in(C,f214(c36,A)) | -in(D,A) | f216(c36,A,C,D) = D. [resolve(1863,h,1625,a)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f213(c37,A) | in(C,f214(c37,A)) | -in(D,A) | f216(c37,A,C,D) = D. [resolve(1863,h,1628,a)]. 27.93/28.84 1864 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f213(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D | -rel_str(B). [resolve(905,b,751,b)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f213(rel_str_of(B,C),A) | in(E,f214(rel_str_of(B,C),A)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f216(rel_str_of(B,C),A,E,F)) != E | -relation_of2(C,B,B). [resolve(1864,h,1554,b)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f213(poset_of_lattice(B),A) | in(D,f214(poset_of_lattice(B),A)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f216(poset_of_lattice(B),A,D,E)) != D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1864,h,1555,d)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f213(c5,A) | in(C,f214(c5,A)) | -in(D,A) | subset_complement(the_carrier(c5),f216(c5,A,C,D)) != C. [resolve(1864,h,1556,a)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f213(c16,A) | in(C,f214(c16,A)) | -in(D,A) | subset_complement(the_carrier(c16),f216(c16,A,C,D)) != C. [resolve(1864,h,1592,a)]. 27.93/28.84 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f213(c36,A) | in(C,f214(c36,A)) | -in(D,A) | subset_complement(the_carrier(c36),f216(c36,A,C,D)) != C. [resolve(1864,h,1625,a)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f213(c37,A) | in(C,f214(c37,A)) | -in(D,A) | subset_complement(the_carrier(c37),f216(c37,A,C,D)) != C. [resolve(1864,h,1628,a)]. 28.03/28.87 1865 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | in(f215(B,A,D),A) | -rel_str(B). [resolve(906,b,751,b)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f212(rel_str_of(B,C),A) | -in(E,f214(rel_str_of(B,C),A)) | in(f215(rel_str_of(B,C),A,E),A) | -relation_of2(C,B,B). [resolve(1865,g,1554,b)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f212(poset_of_lattice(B),A) | -in(D,f214(poset_of_lattice(B),A)) | in(f215(poset_of_lattice(B),A,D),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1865,g,1555,d)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f212(c5,A) | -in(C,f214(c5,A)) | in(f215(c5,A,C),A). [resolve(1865,g,1556,a)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f212(c16,A) | -in(C,f214(c16,A)) | in(f215(c16,A,C),A). [resolve(1865,g,1592,a)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f212(c36,A) | -in(C,f214(c36,A)) | in(f215(c36,A,C),A). [resolve(1865,g,1625,a)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f212(c37,A) | -in(C,f214(c37,A)) | in(f215(c37,A,C),A). [resolve(1865,g,1628,a)]. 28.03/28.87 1866 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | -in(D,f214(B,A)) | -element(E,powerset(the_carrier(B))) | E != f215(B,A,D) | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(907,b,751,b)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f212(rel_str_of(B,C),A) | -in(E,f214(rel_str_of(B,C),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f215(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = E | -relation_of2(C,B,B). [resolve(1866,i,1554,b)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f212(poset_of_lattice(B),A) | -in(D,f214(poset_of_lattice(B),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f215(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1866,i,1555,d)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f212(c5,A) | -in(C,f214(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != f215(c5,A,C) | subset_complement(the_carrier(c5),D) = C. [resolve(1866,i,1556,a)]. 28.03/28.87 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f212(c16,A) | -in(C,f214(c16,A)) | -element(D,powerset(the_carrier(c16))) | D != f215(c16,A,C) | subset_complement(the_carrier(c16),D) = C. [resolve(1866,i,1592,a)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f212(c36,A) | -in(C,f214(c36,A)) | -element(D,powerset(the_carrier(c36))) | D != f215(c36,A,C) | subset_complement(the_carrier(c36),D) = C. [resolve(1866,i,1625,a)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f212(c37,A) | -in(C,f214(c37,A)) | -element(D,powerset(the_carrier(c37))) | D != f215(c37,A,C) | subset_complement(the_carrier(c37),D) = C. [resolve(1866,i,1628,a)]. 28.06/28.90 1867 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | element(f216(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(908,b,751,b)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f212(rel_str_of(B,C),A) | in(E,f214(rel_str_of(B,C),A)) | -in(F,A) | element(f216(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1867,h,1554,b)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f212(poset_of_lattice(B),A) | in(D,f214(poset_of_lattice(B),A)) | -in(E,A) | element(f216(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1867,h,1555,d)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f212(c5,A) | in(C,f214(c5,A)) | -in(D,A) | element(f216(c5,A,C,D),powerset(the_carrier(c5))). [resolve(1867,h,1556,a)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f212(c16,A) | in(C,f214(c16,A)) | -in(D,A) | element(f216(c16,A,C,D),powerset(the_carrier(c16))). [resolve(1867,h,1592,a)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f212(c36,A) | in(C,f214(c36,A)) | -in(D,A) | element(f216(c36,A,C,D),powerset(the_carrier(c36))). [resolve(1867,h,1625,a)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f212(c37,A) | in(C,f214(c37,A)) | -in(D,A) | element(f216(c37,A,C,D),powerset(the_carrier(c37))). [resolve(1867,h,1628,a)]. 28.06/28.90 1868 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | f216(B,A,D,E) = E | -rel_str(B). [resolve(909,b,751,b)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f212(rel_str_of(B,C),A) | in(E,f214(rel_str_of(B,C),A)) | -in(F,A) | f216(rel_str_of(B,C),A,E,F) = F | -relation_of2(C,B,B). [resolve(1868,h,1554,b)]. 28.06/28.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f212(poset_of_lattice(B),A) | in(D,f214(poset_of_lattice(B),A)) | -in(E,A) | f216(poset_of_lattice(B),A,D,E) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1868,h,1555,d)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f212(c5,A) | in(C,f214(c5,A)) | -in(D,A) | f216(c5,A,C,D) = D. [resolve(1868,h,1556,a)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f212(c16,A) | in(C,f214(c16,A)) | -in(D,A) | f216(c16,A,C,D) = D. [resolve(1868,h,1592,a)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f212(c36,A) | in(C,f214(c36,A)) | -in(D,A) | f216(c36,A,C,D) = D. [resolve(1868,h,1625,a)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f212(c37,A) | in(C,f214(c37,A)) | -in(D,A) | f216(c37,A,C,D) = D. [resolve(1868,h,1628,a)]. 28.10/28.94 1869 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f211(B,A) | subset_complement(the_carrier(B),C) = f212(B,A) | in(D,f214(B,A)) | -in(E,A) | subset_complement(the_carrier(B),f216(B,A,D,E)) != D | -rel_str(B). [resolve(910,b,751,b)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f211(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f212(rel_str_of(B,C),A) | in(E,f214(rel_str_of(B,C),A)) | -in(F,A) | subset_complement(the_carrier(rel_str_of(B,C)),f216(rel_str_of(B,C),A,E,F)) != E | -relation_of2(C,B,B). [resolve(1869,h,1554,b)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f211(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f212(poset_of_lattice(B),A) | in(D,f214(poset_of_lattice(B),A)) | -in(E,A) | subset_complement(the_carrier(poset_of_lattice(B)),f216(poset_of_lattice(B),A,D,E)) != D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1869,h,1555,d)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f211(c5,A) | subset_complement(the_carrier(c5),B) = f212(c5,A) | in(C,f214(c5,A)) | -in(D,A) | subset_complement(the_carrier(c5),f216(c5,A,C,D)) != C. [resolve(1869,h,1556,a)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f211(c16,A) | subset_complement(the_carrier(c16),B) = f212(c16,A) | in(C,f214(c16,A)) | -in(D,A) | subset_complement(the_carrier(c16),f216(c16,A,C,D)) != C. [resolve(1869,h,1592,a)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f211(c36,A) | subset_complement(the_carrier(c36),B) = f212(c36,A) | in(C,f214(c36,A)) | -in(D,A) | subset_complement(the_carrier(c36),f216(c36,A,C,D)) != C. [resolve(1869,h,1625,a)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f211(c37,A) | subset_complement(the_carrier(c37),B) = f212(c37,A) | in(C,f214(c37,A)) | -in(D,A) | subset_complement(the_carrier(c37),f216(c37,A,C,D)) != C. [resolve(1869,h,1628,a)]. 28.10/28.94 1870 -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | in(f215(B,A,C),A) | -rel_str(B). [resolve(911,b,751,b)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f213(rel_str_of(B,C),A) != f212(rel_str_of(B,C),A) | -in(D,f214(rel_str_of(B,C),A)) | in(f215(rel_str_of(B,C),A,D),A) | -relation_of2(C,B,B). [resolve(1870,e,1554,b)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f213(poset_of_lattice(B),A) != f212(poset_of_lattice(B),A) | -in(C,f214(poset_of_lattice(B),A)) | in(f215(poset_of_lattice(B),A,C),A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1870,e,1555,d)]. 28.10/28.94 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f213(c5,A) != f212(c5,A) | -in(B,f214(c5,A)) | in(f215(c5,A,B),A). [resolve(1870,e,1556,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f213(c16,A) != f212(c16,A) | -in(B,f214(c16,A)) | in(f215(c16,A,B),A). [resolve(1870,e,1592,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f213(c36,A) != f212(c36,A) | -in(B,f214(c36,A)) | in(f215(c36,A,B),A). [resolve(1870,e,1625,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f213(c37,A) != f212(c37,A) | -in(B,f214(c37,A)) | in(f215(c37,A,B),A). [resolve(1870,e,1628,a)]. 28.10/28.98 1871 -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | -in(C,f214(B,A)) | -element(D,powerset(the_carrier(B))) | D != f215(B,A,C) | subset_complement(the_carrier(B),D) = C | -rel_str(B). [resolve(912,b,751,b)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f213(rel_str_of(B,C),A) != f212(rel_str_of(B,C),A) | -in(D,f214(rel_str_of(B,C),A)) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != f215(rel_str_of(B,C),A,D) | subset_complement(the_carrier(rel_str_of(B,C)),E) = D | -relation_of2(C,B,B). [resolve(1871,g,1554,b)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f213(poset_of_lattice(B),A) != f212(poset_of_lattice(B),A) | -in(C,f214(poset_of_lattice(B),A)) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != f215(poset_of_lattice(B),A,C) | subset_complement(the_carrier(poset_of_lattice(B)),D) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1871,g,1555,d)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f213(c5,A) != f212(c5,A) | -in(B,f214(c5,A)) | -element(C,powerset(the_carrier(c5))) | C != f215(c5,A,B) | subset_complement(the_carrier(c5),C) = B. [resolve(1871,g,1556,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f213(c16,A) != f212(c16,A) | -in(B,f214(c16,A)) | -element(C,powerset(the_carrier(c16))) | C != f215(c16,A,B) | subset_complement(the_carrier(c16),C) = B. [resolve(1871,g,1592,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f213(c36,A) != f212(c36,A) | -in(B,f214(c36,A)) | -element(C,powerset(the_carrier(c36))) | C != f215(c36,A,B) | subset_complement(the_carrier(c36),C) = B. [resolve(1871,g,1625,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f213(c37,A) != f212(c37,A) | -in(B,f214(c37,A)) | -element(C,powerset(the_carrier(c37))) | C != f215(c37,A,B) | subset_complement(the_carrier(c37),C) = B. [resolve(1871,g,1628,a)]. 28.10/28.98 1872 -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | element(f216(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(913,b,751,b)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f213(rel_str_of(B,C),A) != f212(rel_str_of(B,C),A) | in(D,f214(rel_str_of(B,C),A)) | -in(E,A) | element(f216(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1872,f,1554,b)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f213(poset_of_lattice(B),A) != f212(poset_of_lattice(B),A) | in(C,f214(poset_of_lattice(B),A)) | -in(D,A) | element(f216(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1872,f,1555,d)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f213(c5,A) != f212(c5,A) | in(B,f214(c5,A)) | -in(C,A) | element(f216(c5,A,B,C),powerset(the_carrier(c5))). [resolve(1872,f,1556,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f213(c16,A) != f212(c16,A) | in(B,f214(c16,A)) | -in(C,A) | element(f216(c16,A,B,C),powerset(the_carrier(c16))). [resolve(1872,f,1592,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f213(c36,A) != f212(c36,A) | in(B,f214(c36,A)) | -in(C,A) | element(f216(c36,A,B,C),powerset(the_carrier(c36))). [resolve(1872,f,1625,a)]. 28.10/28.98 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f213(c37,A) != f212(c37,A) | in(B,f214(c37,A)) | -in(C,A) | element(f216(c37,A,B,C),powerset(the_carrier(c37))). [resolve(1872,f,1628,a)]. 28.46/29.30 1873 -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | f216(B,A,C,D) = D | -rel_str(B). [resolve(914,b,751,b)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f213(rel_str_of(B,C),A) != f212(rel_str_of(B,C),A) | in(D,f214(rel_str_of(B,C),A)) | -in(E,A) | f216(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1873,f,1554,b)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f213(poset_of_lattice(B),A) != f212(poset_of_lattice(B),A) | in(C,f214(poset_of_lattice(B),A)) | -in(D,A) | f216(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1873,f,1555,d)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f213(c5,A) != f212(c5,A) | in(B,f214(c5,A)) | -in(C,A) | f216(c5,A,B,C) = C. [resolve(1873,f,1556,a)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f213(c16,A) != f212(c16,A) | in(B,f214(c16,A)) | -in(C,A) | f216(c16,A,B,C) = C. [resolve(1873,f,1592,a)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f213(c36,A) != f212(c36,A) | in(B,f214(c36,A)) | -in(C,A) | f216(c36,A,B,C) = C. [resolve(1873,f,1625,a)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f213(c37,A) != f212(c37,A) | in(B,f214(c37,A)) | -in(C,A) | f216(c37,A,B,C) = C. [resolve(1873,f,1628,a)]. 28.46/29.30 1874 -element(A,powerset(powerset(the_carrier(B)))) | f213(B,A) != f212(B,A) | in(C,f214(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f216(B,A,C,D)) != C | -rel_str(B). [resolve(915,b,751,b)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f213(rel_str_of(B,C),A) != f212(rel_str_of(B,C),A) | in(D,f214(rel_str_of(B,C),A)) | -in(E,A) | subset_complement(the_carrier(rel_str_of(B,C)),f216(rel_str_of(B,C),A,D,E)) != D | -relation_of2(C,B,B). [resolve(1874,f,1554,b)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f213(poset_of_lattice(B),A) != f212(poset_of_lattice(B),A) | in(C,f214(poset_of_lattice(B),A)) | -in(D,A) | subset_complement(the_carrier(poset_of_lattice(B)),f216(poset_of_lattice(B),A,C,D)) != C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1874,f,1555,d)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f213(c5,A) != f212(c5,A) | in(B,f214(c5,A)) | -in(C,A) | subset_complement(the_carrier(c5),f216(c5,A,B,C)) != B. [resolve(1874,f,1556,a)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f213(c16,A) != f212(c16,A) | in(B,f214(c16,A)) | -in(C,A) | subset_complement(the_carrier(c16),f216(c16,A,B,C)) != B. [resolve(1874,f,1592,a)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f213(c36,A) != f212(c36,A) | in(B,f214(c36,A)) | -in(C,A) | subset_complement(the_carrier(c36),f216(c36,A,B,C)) != B. [resolve(1874,f,1625,a)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f213(c37,A) != f212(c37,A) | in(B,f214(c37,A)) | -in(C,A) | subset_complement(the_carrier(c37),f216(c37,A,B,C)) != B. [resolve(1874,f,1628,a)]. 28.46/29.30 1875 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(917,b,751,b)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f241(rel_str_of(B,C),A) | element(f244(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1875,h,1554,b)]. 28.46/29.30 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f241(poset_of_lattice(B),A) | element(f244(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1875,h,1555,d)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f241(c5,A) | element(f244(c5,A,C,D),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)) | in(C,f243(c5,A)). [resolve(1875,h,1556,a)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f241(c16,A) | element(f244(c16,A,C,D),powerset(the_carrier(c16))) | -in(D,complements_of_subsets(the_carrier(c16),A)) | in(C,f243(c16,A)). [resolve(1875,h,1592,a)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f241(c36,A) | element(f244(c36,A,C,D),powerset(the_carrier(c36))) | -in(D,complements_of_subsets(the_carrier(c36),A)) | in(C,f243(c36,A)). [resolve(1875,h,1625,a)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f241(c37,A) | element(f244(c37,A,C,D),powerset(the_carrier(c37))) | -in(D,complements_of_subsets(the_carrier(c37),A)) | in(C,f243(c37,A)). [resolve(1875,h,1628,a)]. 28.46/29.33 1876 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(918,b,751,b)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f241(rel_str_of(B,C),A) | f244(rel_str_of(B,C),A,E,F) = F | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1876,h,1554,b)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f241(poset_of_lattice(B),A) | f244(poset_of_lattice(B),A,D,E) = E | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1876,h,1555,d)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f241(c5,A) | f244(c5,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c5),A)) | in(C,f243(c5,A)). [resolve(1876,h,1556,a)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f241(c16,A) | f244(c16,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c16),A)) | in(C,f243(c16,A)). [resolve(1876,h,1592,a)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f241(c36,A) | f244(c36,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c36),A)) | in(C,f243(c36,A)). [resolve(1876,h,1625,a)]. 28.46/29.33 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f241(c37,A) | f244(c37,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c37),A)) | in(C,f243(c37,A)). [resolve(1876,h,1628,a)]. 28.46/29.33 1877 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(919,b,751,b)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f241(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f244(rel_str_of(B,C),A,E,F)) != E | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1877,h,1554,b)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f241(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f244(poset_of_lattice(B),A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1877,h,1555,d)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f241(c5,A) | subset_complement(the_carrier(c5),f244(c5,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)) | in(C,f243(c5,A)). [resolve(1877,h,1556,a)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f241(c16,A) | subset_complement(the_carrier(c16),f244(c16,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c16),A)) | in(C,f243(c16,A)). [resolve(1877,h,1592,a)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f241(c36,A) | subset_complement(the_carrier(c36),f244(c36,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c36),A)) | in(C,f243(c36,A)). [resolve(1877,h,1625,a)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f241(c37,A) | subset_complement(the_carrier(c37),f244(c37,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c37),A)) | in(C,f243(c37,A)). [resolve(1877,h,1628,a)]. 28.46/29.36 1878 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -rel_str(B). [resolve(920,b,751,b)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f241(rel_str_of(B,C),A) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != f245(rel_str_of(B,C),A,F) | subset_complement(the_carrier(rel_str_of(B,C)),E) = F | -in(F,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1878,i,1554,b)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f241(poset_of_lattice(B),A) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != f245(poset_of_lattice(B),A,E) | subset_complement(the_carrier(poset_of_lattice(B)),D) = E | -in(E,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1878,i,1555,d)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f241(c5,A) | -element(C,powerset(the_carrier(c5))) | C != f245(c5,A,D) | subset_complement(the_carrier(c5),C) = D | -in(D,f243(c5,A)). [resolve(1878,i,1556,a)]. 28.46/29.36 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f241(c16,A) | -element(C,powerset(the_carrier(c16))) | C != f245(c16,A,D) | subset_complement(the_carrier(c16),C) = D | -in(D,f243(c16,A)). [resolve(1878,i,1592,a)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f241(c36,A) | -element(C,powerset(the_carrier(c36))) | C != f245(c36,A,D) | subset_complement(the_carrier(c36),C) = D | -in(D,f243(c36,A)). [resolve(1878,i,1625,a)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f241(c37,A) | -element(C,powerset(the_carrier(c37))) | C != f245(c37,A,D) | subset_complement(the_carrier(c37),C) = D | -in(D,f243(c37,A)). [resolve(1878,i,1628,a)]. 28.54/29.39 1879 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f241(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -rel_str(B). [resolve(921,b,751,b)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f241(rel_str_of(B,C),A) | in(f245(rel_str_of(B,C),A,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1879,g,1554,b)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f241(poset_of_lattice(B),A) | in(f245(poset_of_lattice(B),A,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1879,g,1555,d)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f241(c5,A) | in(f245(c5,A,C),complements_of_subsets(the_carrier(c5),A)) | -in(C,f243(c5,A)). [resolve(1879,g,1556,a)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f241(c16,A) | in(f245(c16,A,C),complements_of_subsets(the_carrier(c16),A)) | -in(C,f243(c16,A)). [resolve(1879,g,1592,a)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f241(c36,A) | in(f245(c36,A,C),complements_of_subsets(the_carrier(c36),A)) | -in(C,f243(c36,A)). [resolve(1879,g,1625,a)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f241(c37,A) | in(f245(c37,A,C),complements_of_subsets(the_carrier(c37),A)) | -in(C,f243(c37,A)). [resolve(1879,g,1628,a)]. 28.54/29.39 1880 -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(922,b,751,b)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f240(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f244(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1880,f,1554,b)]. 28.54/29.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f240(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f244(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1880,f,1555,d)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f240(c5,A),complements_of_subsets(the_carrier(c5),A)) | element(f244(c5,A,B,C),powerset(the_carrier(c5))) | -in(C,complements_of_subsets(the_carrier(c5),A)) | in(B,f243(c5,A)). [resolve(1880,f,1556,a)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f240(c16,A),complements_of_subsets(the_carrier(c16),A)) | element(f244(c16,A,B,C),powerset(the_carrier(c16))) | -in(C,complements_of_subsets(the_carrier(c16),A)) | in(B,f243(c16,A)). [resolve(1880,f,1592,a)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f240(c36,A),complements_of_subsets(the_carrier(c36),A)) | element(f244(c36,A,B,C),powerset(the_carrier(c36))) | -in(C,complements_of_subsets(the_carrier(c36),A)) | in(B,f243(c36,A)). [resolve(1880,f,1625,a)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f240(c37,A),complements_of_subsets(the_carrier(c37),A)) | element(f244(c37,A,B,C),powerset(the_carrier(c37))) | -in(C,complements_of_subsets(the_carrier(c37),A)) | in(B,f243(c37,A)). [resolve(1880,f,1628,a)]. 28.54/29.42 1881 -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(923,b,751,b)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f240(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f244(rel_str_of(B,C),A,D,E) = E | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1881,f,1554,b)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f240(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f244(poset_of_lattice(B),A,C,D) = D | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1881,f,1555,d)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f240(c5,A),complements_of_subsets(the_carrier(c5),A)) | f244(c5,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c5),A)) | in(B,f243(c5,A)). [resolve(1881,f,1556,a)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f240(c16,A),complements_of_subsets(the_carrier(c16),A)) | f244(c16,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c16),A)) | in(B,f243(c16,A)). [resolve(1881,f,1592,a)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f240(c36,A),complements_of_subsets(the_carrier(c36),A)) | f244(c36,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c36),A)) | in(B,f243(c36,A)). [resolve(1881,f,1625,a)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f240(c37,A),complements_of_subsets(the_carrier(c37),A)) | f244(c37,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c37),A)) | in(B,f243(c37,A)). [resolve(1881,f,1628,a)]. 28.54/29.42 1882 -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(924,b,751,b)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f240(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f244(rel_str_of(B,C),A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1882,f,1554,b)]. 28.54/29.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f240(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f244(poset_of_lattice(B),A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1882,f,1555,d)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f240(c5,A),complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f244(c5,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)) | in(B,f243(c5,A)). [resolve(1882,f,1556,a)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f240(c16,A),complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f244(c16,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c16),A)) | in(B,f243(c16,A)). [resolve(1882,f,1592,a)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f240(c36,A),complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f244(c36,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c36),A)) | in(B,f243(c36,A)). [resolve(1882,f,1625,a)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f240(c37,A),complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f244(c37,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c37),A)) | in(B,f243(c37,A)). [resolve(1882,f,1628,a)]. 28.54/29.46 1883 -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -rel_str(B). [resolve(925,b,751,b)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f240(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f245(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = E | -in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1883,g,1554,b)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f240(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f245(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = D | -in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1883,g,1555,d)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f240(c5,A),complements_of_subsets(the_carrier(c5),A)) | -element(B,powerset(the_carrier(c5))) | B != f245(c5,A,C) | subset_complement(the_carrier(c5),B) = C | -in(C,f243(c5,A)). [resolve(1883,g,1556,a)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f240(c16,A),complements_of_subsets(the_carrier(c16),A)) | -element(B,powerset(the_carrier(c16))) | B != f245(c16,A,C) | subset_complement(the_carrier(c16),B) = C | -in(C,f243(c16,A)). [resolve(1883,g,1592,a)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f240(c36,A),complements_of_subsets(the_carrier(c36),A)) | -element(B,powerset(the_carrier(c36))) | B != f245(c36,A,C) | subset_complement(the_carrier(c36),B) = C | -in(C,f243(c36,A)). [resolve(1883,g,1625,a)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f240(c37,A),complements_of_subsets(the_carrier(c37),A)) | -element(B,powerset(the_carrier(c37))) | B != f245(c37,A,C) | subset_complement(the_carrier(c37),B) = C | -in(C,f243(c37,A)). [resolve(1883,g,1628,a)]. 28.54/29.46 1884 -element(A,powerset(powerset(the_carrier(B)))) | in(f240(B,A),complements_of_subsets(the_carrier(B),A)) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -rel_str(B). [resolve(926,b,751,b)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f240(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(f245(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1884,e,1554,b)]. 28.54/29.46 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f240(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(f245(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1884,e,1555,d)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f240(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(f245(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(B,f243(c5,A)). [resolve(1884,e,1556,a)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f240(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(f245(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(B,f243(c16,A)). [resolve(1884,e,1592,a)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f240(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(f245(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(B,f243(c36,A)). [resolve(1884,e,1625,a)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f240(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(f245(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(B,f243(c37,A)). [resolve(1884,e,1628,a)]. 28.64/29.49 1885 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | element(f244(B,A,D,E),powerset(the_carrier(B))) | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(927,b,751,b)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f242(rel_str_of(B,C),A) | element(f244(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1885,h,1554,b)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f242(poset_of_lattice(B),A) | element(f244(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1885,h,1555,d)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f242(c5,A) | element(f244(c5,A,C,D),powerset(the_carrier(c5))) | -in(D,complements_of_subsets(the_carrier(c5),A)) | in(C,f243(c5,A)). [resolve(1885,h,1556,a)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f242(c16,A) | element(f244(c16,A,C,D),powerset(the_carrier(c16))) | -in(D,complements_of_subsets(the_carrier(c16),A)) | in(C,f243(c16,A)). [resolve(1885,h,1592,a)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f242(c36,A) | element(f244(c36,A,C,D),powerset(the_carrier(c36))) | -in(D,complements_of_subsets(the_carrier(c36),A)) | in(C,f243(c36,A)). [resolve(1885,h,1625,a)]. 28.64/29.49 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f242(c37,A) | element(f244(c37,A,C,D),powerset(the_carrier(c37))) | -in(D,complements_of_subsets(the_carrier(c37),A)) | in(C,f243(c37,A)). [resolve(1885,h,1628,a)]. 28.64/29.49 1886 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | f244(B,A,D,E) = E | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(928,b,751,b)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f242(rel_str_of(B,C),A) | f244(rel_str_of(B,C),A,E,F) = F | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1886,h,1554,b)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f242(poset_of_lattice(B),A) | f244(poset_of_lattice(B),A,D,E) = E | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1886,h,1555,d)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f242(c5,A) | f244(c5,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c5),A)) | in(C,f243(c5,A)). [resolve(1886,h,1556,a)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f242(c16,A) | f244(c16,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c16),A)) | in(C,f243(c16,A)). [resolve(1886,h,1592,a)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f242(c36,A) | f244(c36,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c36),A)) | in(C,f243(c36,A)). [resolve(1886,h,1625,a)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f242(c37,A) | f244(c37,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(c37),A)) | in(C,f243(c37,A)). [resolve(1886,h,1628,a)]. 28.69/29.53 1887 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | subset_complement(the_carrier(B),f244(B,A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(B),A)) | in(D,f243(B,A)) | -rel_str(B). [resolve(929,b,751,b)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f242(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f244(rel_str_of(B,C),A,E,F)) != E | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1887,h,1554,b)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f242(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f244(poset_of_lattice(B),A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1887,h,1555,d)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f242(c5,A) | subset_complement(the_carrier(c5),f244(c5,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c5),A)) | in(C,f243(c5,A)). [resolve(1887,h,1556,a)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f242(c16,A) | subset_complement(the_carrier(c16),f244(c16,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c16),A)) | in(C,f243(c16,A)). [resolve(1887,h,1592,a)]. 28.69/29.53 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f242(c36,A) | subset_complement(the_carrier(c36),f244(c36,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c36),A)) | in(C,f243(c36,A)). [resolve(1887,h,1625,a)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f242(c37,A) | subset_complement(the_carrier(c37),f244(c37,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(c37),A)) | in(C,f243(c37,A)). [resolve(1887,h,1628,a)]. 28.70/29.58 1888 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | -element(D,powerset(the_carrier(B))) | D != f245(B,A,E) | subset_complement(the_carrier(B),D) = E | -in(E,f243(B,A)) | -rel_str(B). [resolve(930,b,751,b)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f242(rel_str_of(B,C),A) | -element(E,powerset(the_carrier(rel_str_of(B,C)))) | E != f245(rel_str_of(B,C),A,F) | subset_complement(the_carrier(rel_str_of(B,C)),E) = F | -in(F,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1888,i,1554,b)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f242(poset_of_lattice(B),A) | -element(D,powerset(the_carrier(poset_of_lattice(B)))) | D != f245(poset_of_lattice(B),A,E) | subset_complement(the_carrier(poset_of_lattice(B)),D) = E | -in(E,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1888,i,1555,d)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f242(c5,A) | -element(C,powerset(the_carrier(c5))) | C != f245(c5,A,D) | subset_complement(the_carrier(c5),C) = D | -in(D,f243(c5,A)). [resolve(1888,i,1556,a)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f242(c16,A) | -element(C,powerset(the_carrier(c16))) | C != f245(c16,A,D) | subset_complement(the_carrier(c16),C) = D | -in(D,f243(c16,A)). [resolve(1888,i,1592,a)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f242(c36,A) | -element(C,powerset(the_carrier(c36))) | C != f245(c36,A,D) | subset_complement(the_carrier(c36),C) = D | -in(D,f243(c36,A)). [resolve(1888,i,1625,a)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f242(c37,A) | -element(C,powerset(the_carrier(c37))) | C != f245(c37,A,D) | subset_complement(the_carrier(c37),C) = D | -in(D,f243(c37,A)). [resolve(1888,i,1628,a)]. 28.70/29.58 1889 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f240(B,A) | subset_complement(the_carrier(B),C) = f242(B,A) | in(f245(B,A,D),complements_of_subsets(the_carrier(B),A)) | -in(D,f243(B,A)) | -rel_str(B). [resolve(931,b,751,b)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f240(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f242(rel_str_of(B,C),A) | in(f245(rel_str_of(B,C),A,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1889,g,1554,b)]. 28.70/29.58 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f240(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f242(poset_of_lattice(B),A) | in(f245(poset_of_lattice(B),A,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1889,g,1555,d)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f240(c5,A) | subset_complement(the_carrier(c5),B) = f242(c5,A) | in(f245(c5,A,C),complements_of_subsets(the_carrier(c5),A)) | -in(C,f243(c5,A)). [resolve(1889,g,1556,a)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f240(c16,A) | subset_complement(the_carrier(c16),B) = f242(c16,A) | in(f245(c16,A,C),complements_of_subsets(the_carrier(c16),A)) | -in(C,f243(c16,A)). [resolve(1889,g,1592,a)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f240(c36,A) | subset_complement(the_carrier(c36),B) = f242(c36,A) | in(f245(c36,A,C),complements_of_subsets(the_carrier(c36),A)) | -in(C,f243(c36,A)). [resolve(1889,g,1625,a)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f240(c37,A) | subset_complement(the_carrier(c37),B) = f242(c37,A) | in(f245(c37,A,C),complements_of_subsets(the_carrier(c37),A)) | -in(C,f243(c37,A)). [resolve(1889,g,1628,a)]. 28.70/29.61 1890 -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | element(f244(B,A,C,D),powerset(the_carrier(B))) | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(932,b,751,b)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f242(rel_str_of(B,C),A) != f241(rel_str_of(B,C),A) | element(f244(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1890,f,1554,b)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f242(poset_of_lattice(B),A) != f241(poset_of_lattice(B),A) | element(f244(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1890,f,1555,d)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f242(c5,A) != f241(c5,A) | element(f244(c5,A,B,C),powerset(the_carrier(c5))) | -in(C,complements_of_subsets(the_carrier(c5),A)) | in(B,f243(c5,A)). [resolve(1890,f,1556,a)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f242(c16,A) != f241(c16,A) | element(f244(c16,A,B,C),powerset(the_carrier(c16))) | -in(C,complements_of_subsets(the_carrier(c16),A)) | in(B,f243(c16,A)). [resolve(1890,f,1592,a)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f242(c36,A) != f241(c36,A) | element(f244(c36,A,B,C),powerset(the_carrier(c36))) | -in(C,complements_of_subsets(the_carrier(c36),A)) | in(B,f243(c36,A)). [resolve(1890,f,1625,a)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f242(c37,A) != f241(c37,A) | element(f244(c37,A,B,C),powerset(the_carrier(c37))) | -in(C,complements_of_subsets(the_carrier(c37),A)) | in(B,f243(c37,A)). [resolve(1890,f,1628,a)]. 28.70/29.61 1891 -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | f244(B,A,C,D) = D | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(933,b,751,b)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f242(rel_str_of(B,C),A) != f241(rel_str_of(B,C),A) | f244(rel_str_of(B,C),A,D,E) = E | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1891,f,1554,b)]. 28.70/29.61 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f242(poset_of_lattice(B),A) != f241(poset_of_lattice(B),A) | f244(poset_of_lattice(B),A,C,D) = D | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1891,f,1555,d)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f242(c5,A) != f241(c5,A) | f244(c5,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c5),A)) | in(B,f243(c5,A)). [resolve(1891,f,1556,a)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f242(c16,A) != f241(c16,A) | f244(c16,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c16),A)) | in(B,f243(c16,A)). [resolve(1891,f,1592,a)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f242(c36,A) != f241(c36,A) | f244(c36,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c36),A)) | in(B,f243(c36,A)). [resolve(1891,f,1625,a)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f242(c37,A) != f241(c37,A) | f244(c37,A,B,C) = C | -in(C,complements_of_subsets(the_carrier(c37),A)) | in(B,f243(c37,A)). [resolve(1891,f,1628,a)]. 28.79/29.65 1892 -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | subset_complement(the_carrier(B),f244(B,A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(B),A)) | in(C,f243(B,A)) | -rel_str(B). [resolve(934,b,751,b)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f242(rel_str_of(B,C),A) != f241(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),f244(rel_str_of(B,C),A,D,E)) != D | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1892,f,1554,b)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f242(poset_of_lattice(B),A) != f241(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),f244(poset_of_lattice(B),A,C,D)) != C | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1892,f,1555,d)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f242(c5,A) != f241(c5,A) | subset_complement(the_carrier(c5),f244(c5,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c5),A)) | in(B,f243(c5,A)). [resolve(1892,f,1556,a)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f242(c16,A) != f241(c16,A) | subset_complement(the_carrier(c16),f244(c16,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c16),A)) | in(B,f243(c16,A)). [resolve(1892,f,1592,a)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f242(c36,A) != f241(c36,A) | subset_complement(the_carrier(c36),f244(c36,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c36),A)) | in(B,f243(c36,A)). [resolve(1892,f,1625,a)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f242(c37,A) != f241(c37,A) | subset_complement(the_carrier(c37),f244(c37,A,B,C)) != B | -in(C,complements_of_subsets(the_carrier(c37),A)) | in(B,f243(c37,A)). [resolve(1892,f,1628,a)]. 28.79/29.65 1893 -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | -element(C,powerset(the_carrier(B))) | C != f245(B,A,D) | subset_complement(the_carrier(B),C) = D | -in(D,f243(B,A)) | -rel_str(B). [resolve(935,b,751,b)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f242(rel_str_of(B,C),A) != f241(rel_str_of(B,C),A) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f245(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = E | -in(E,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1893,g,1554,b)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f242(poset_of_lattice(B),A) != f241(poset_of_lattice(B),A) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f245(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = D | -in(D,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1893,g,1555,d)]. 28.79/29.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f242(c5,A) != f241(c5,A) | -element(B,powerset(the_carrier(c5))) | B != f245(c5,A,C) | subset_complement(the_carrier(c5),B) = C | -in(C,f243(c5,A)). [resolve(1893,g,1556,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f242(c16,A) != f241(c16,A) | -element(B,powerset(the_carrier(c16))) | B != f245(c16,A,C) | subset_complement(the_carrier(c16),B) = C | -in(C,f243(c16,A)). [resolve(1893,g,1592,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f242(c36,A) != f241(c36,A) | -element(B,powerset(the_carrier(c36))) | B != f245(c36,A,C) | subset_complement(the_carrier(c36),B) = C | -in(C,f243(c36,A)). [resolve(1893,g,1625,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f242(c37,A) != f241(c37,A) | -element(B,powerset(the_carrier(c37))) | B != f245(c37,A,C) | subset_complement(the_carrier(c37),B) = C | -in(C,f243(c37,A)). [resolve(1893,g,1628,a)]. 28.87/29.70 1894 -element(A,powerset(powerset(the_carrier(B)))) | f242(B,A) != f241(B,A) | in(f245(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(C,f243(B,A)) | -rel_str(B). [resolve(936,b,751,b)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f242(rel_str_of(B,C),A) != f241(rel_str_of(B,C),A) | in(f245(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(D,f243(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1894,e,1554,b)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f242(poset_of_lattice(B),A) != f241(poset_of_lattice(B),A) | in(f245(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(C,f243(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1894,e,1555,d)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f242(c5,A) != f241(c5,A) | in(f245(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(B,f243(c5,A)). [resolve(1894,e,1556,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f242(c16,A) != f241(c16,A) | in(f245(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(B,f243(c16,A)). [resolve(1894,e,1592,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f242(c36,A) != f241(c36,A) | in(f245(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(B,f243(c36,A)). [resolve(1894,e,1625,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f242(c37,A) != f241(c37,A) | in(f245(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(B,f243(c37,A)). [resolve(1894,e,1628,a)]. 28.87/29.70 1895 -element(A,powerset(powerset(the_carrier(B)))) | -is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) = cast_as_carrier_subset(B) | -rel_str(B). [resolve(937,a,751,b)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -is_a_cover_of_carrier(rel_str_of(B,C),A) | union_of_subsets(the_carrier(rel_str_of(B,C)),A) = cast_as_carrier_subset(rel_str_of(B,C)) | -relation_of2(C,B,B). [resolve(1895,d,1554,b)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -is_a_cover_of_carrier(poset_of_lattice(B),A) | union_of_subsets(the_carrier(poset_of_lattice(B)),A) = cast_as_carrier_subset(poset_of_lattice(B)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1895,d,1555,d)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -is_a_cover_of_carrier(c5,A) | union_of_subsets(the_carrier(c5),A) = cast_as_carrier_subset(c5). [resolve(1895,d,1556,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -is_a_cover_of_carrier(c16,A) | union_of_subsets(the_carrier(c16),A) = cast_as_carrier_subset(c16). [resolve(1895,d,1592,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -is_a_cover_of_carrier(c36,A) | union_of_subsets(the_carrier(c36),A) = cast_as_carrier_subset(c36). [resolve(1895,d,1625,a)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -is_a_cover_of_carrier(c37,A) | union_of_subsets(the_carrier(c37),A) = cast_as_carrier_subset(c37). [resolve(1895,d,1628,a)]. 28.87/29.70 1896 -element(A,powerset(powerset(the_carrier(B)))) | is_a_cover_of_carrier(B,A) | union_of_subsets(the_carrier(B),A) != cast_as_carrier_subset(B) | -rel_str(B). [resolve(938,a,751,b)]. 28.87/29.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | is_a_cover_of_carrier(rel_str_of(B,C),A) | union_of_subsets(the_carrier(rel_str_of(B,C)),A) != cast_as_carrier_subset(rel_str_of(B,C)) | -relation_of2(C,B,B). [resolve(1896,d,1554,b)]. 29.53/30.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | is_a_cover_of_carrier(poset_of_lattice(B),A) | union_of_subsets(the_carrier(poset_of_lattice(B)),A) != cast_as_carrier_subset(poset_of_lattice(B)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1896,d,1555,d)]. 29.53/30.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | is_a_cover_of_carrier(c5,A) | union_of_subsets(the_carrier(c5),A) != cast_as_carrier_subset(c5). [resolve(1896,d,1556,a)]. 29.53/30.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | is_a_cover_of_carrier(c16,A) | union_of_subsets(the_carrier(c16),A) != cast_as_carrier_subset(c16). [resolve(1896,d,1592,a)]. 29.53/30.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | is_a_cover_of_carrier(c36,A) | union_of_subsets(the_carrier(c36),A) != cast_as_carrier_subset(c36). [resolve(1896,d,1625,a)]. 29.53/30.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | is_a_cover_of_carrier(c37,A) | union_of_subsets(the_carrier(c37),A) != cast_as_carrier_subset(c37). [resolve(1896,d,1628,a)]. 29.53/30.39 1897 empty_carrier_subset(A) = empty_set | -rel_str(A). [resolve(939,a,751,b)]. 29.53/30.39 Derived: empty_carrier_subset(rel_str_of(A,B)) = empty_set | -relation_of2(B,A,A). [resolve(1897,b,1554,b)]. 29.53/30.39 Derived: empty_carrier_subset(poset_of_lattice(A)) = empty_set | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1897,b,1555,d)]. 29.53/30.39 Derived: empty_carrier_subset(c5) = empty_set. [resolve(1897,b,1556,a)]. 29.53/30.39 Derived: empty_carrier_subset(c16) = empty_set. [resolve(1897,b,1592,a)]. 29.53/30.39 Derived: empty_carrier_subset(c36) = empty_set. [resolve(1897,b,1625,a)]. 29.53/30.39 Derived: empty_carrier_subset(c37) = empty_set. [resolve(1897,b,1628,a)]. 29.53/30.39 1898 empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -is_a_cover_of_carrier(A,B) | empty_set != B | -rel_str(A). [resolve(943,a,751,b)]. 29.53/30.39 Derived: empty_carrier(rel_str_of(A,B)) | -element(C,powerset(powerset(the_carrier(rel_str_of(A,B))))) | -is_a_cover_of_carrier(rel_str_of(A,B),C) | empty_set != C | -relation_of2(B,A,A). [resolve(1898,e,1554,b)]. 29.53/30.39 Derived: empty_carrier(poset_of_lattice(A)) | -element(B,powerset(powerset(the_carrier(poset_of_lattice(A))))) | -is_a_cover_of_carrier(poset_of_lattice(A),B) | empty_set != B | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1898,e,1555,d)]. 29.53/30.39 Derived: empty_carrier(c5) | -element(A,powerset(powerset(the_carrier(c5)))) | -is_a_cover_of_carrier(c5,A) | empty_set != A. [resolve(1898,e,1556,a)]. 29.53/30.39 Derived: empty_carrier(c16) | -element(A,powerset(powerset(the_carrier(c16)))) | -is_a_cover_of_carrier(c16,A) | empty_set != A. [resolve(1898,e,1592,a)]. 29.53/30.39 Derived: empty_carrier(c36) | -element(A,powerset(powerset(the_carrier(c36)))) | -is_a_cover_of_carrier(c36,A) | empty_set != A. [resolve(1898,e,1625,a)]. 29.53/30.39 Derived: empty_carrier(c37) | -element(A,powerset(powerset(the_carrier(c37)))) | -is_a_cover_of_carrier(c37,A) | empty_set != A. [resolve(1898,e,1628,a)]. 29.53/30.39 1899 -element(A,powerset(the_carrier(B))) | subset_intersection2(the_carrier(B),A,cast_as_carrier_subset(B)) = A | -rel_str(B). [resolve(944,a,751,b)]. 29.53/30.39 Derived: -element(A,powerset(the_carrier(rel_str_of(B,C)))) | subset_intersection2(the_carrier(rel_str_of(B,C)),A,cast_as_carrier_subset(rel_str_of(B,C))) = A | -relation_of2(C,B,B). [resolve(1899,c,1554,b)]. 29.53/30.39 Derived: -element(A,powerset(the_carrier(poset_of_lattice(B)))) | subset_intersection2(the_carrier(poset_of_lattice(B)),A,cast_as_carrier_subset(poset_of_lattice(B))) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1899,c,1555,d)]. 29.53/30.39 Derived: -element(A,powerset(the_carrier(c5))) | subset_intersection2(the_carrier(c5),A,cast_as_carrier_subset(c5)) = A. [resolve(1899,c,1556,a)]. 29.53/30.39 Derived: -element(A,powerset(the_carrier(c16))) | subset_intersection2(the_carrier(c16),A,cast_as_carrier_subset(c16)) = A. [resolve(1899,c,1592,a)]. 29.53/30.39 Derived: -element(A,powerset(the_carrier(c36))) | subset_intersection2(the_carrier(c36),A,cast_as_carrier_subset(c36)) = A. [resolve(1899,c,1625,a)]. 29.53/30.44 Derived: -element(A,powerset(the_carrier(c37))) | subset_intersection2(the_carrier(c37),A,cast_as_carrier_subset(c37)) = A. [resolve(1899,c,1628,a)]. 29.53/30.44 1900 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -rel_str(B). [resolve(945,a,751,b)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | -in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | in(D,A) | -relation_of2(C,B,B). [resolve(1900,e,1554,b)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | -in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | in(C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1900,e,1555,d)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | -in(ordered_pair(B,C),f333(c5,A)) | in(B,A). [resolve(1900,e,1556,a)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | -in(ordered_pair(B,C),f333(c16,A)) | in(B,A). [resolve(1900,e,1592,a)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | -in(ordered_pair(B,C),f333(c36,A)) | in(B,A). [resolve(1900,e,1625,a)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | -in(ordered_pair(B,C),f333(c37,A)) | in(B,A). [resolve(1900,e,1628,a)]. 29.53/30.44 1901 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(946,a,751,b)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | -in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != D | subset_complement(the_carrier(rel_str_of(B,C)),F) = E | -relation_of2(C,B,B). [resolve(1901,g,1554,b)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | -in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != C | subset_complement(the_carrier(poset_of_lattice(B)),E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1901,g,1555,d)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | -in(ordered_pair(B,C),f333(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(1901,g,1556,a)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | -in(ordered_pair(B,C),f333(c16,A)) | -element(D,powerset(the_carrier(c16))) | D != B | subset_complement(the_carrier(c16),D) = C. [resolve(1901,g,1592,a)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | -in(ordered_pair(B,C),f333(c36,A)) | -element(D,powerset(the_carrier(c36))) | D != B | subset_complement(the_carrier(c36),D) = C. [resolve(1901,g,1625,a)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | -in(ordered_pair(B,C),f333(c37,A)) | -element(D,powerset(the_carrier(c37))) | D != B | subset_complement(the_carrier(c37),D) = C. [resolve(1901,g,1628,a)]. 29.53/30.44 1902 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(947,a,751,b)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -in(D,A) | element(f334(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1902,f,1554,b)]. 29.53/30.44 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -in(C,A) | element(f334(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1902,f,1555,d)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | in(ordered_pair(B,C),f333(c5,A)) | -in(B,A) | element(f334(c5,A,B,C),powerset(the_carrier(c5))). [resolve(1902,f,1556,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | in(ordered_pair(B,C),f333(c16,A)) | -in(B,A) | element(f334(c16,A,B,C),powerset(the_carrier(c16))). [resolve(1902,f,1592,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | in(ordered_pair(B,C),f333(c36,A)) | -in(B,A) | element(f334(c36,A,B,C),powerset(the_carrier(c36))). [resolve(1902,f,1625,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | in(ordered_pair(B,C),f333(c37,A)) | -in(B,A) | element(f334(c37,A,B,C),powerset(the_carrier(c37))). [resolve(1902,f,1628,a)]. 29.63/30.49 1903 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -rel_str(B). [resolve(948,a,751,b)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -in(D,A) | f334(rel_str_of(B,C),A,D,E) = D | -relation_of2(C,B,B). [resolve(1903,f,1554,b)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -in(C,A) | f334(poset_of_lattice(B),A,C,D) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1903,f,1555,d)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | in(ordered_pair(B,C),f333(c5,A)) | -in(B,A) | f334(c5,A,B,C) = B. [resolve(1903,f,1556,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | in(ordered_pair(B,C),f333(c16,A)) | -in(B,A) | f334(c16,A,B,C) = B. [resolve(1903,f,1592,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | in(ordered_pair(B,C),f333(c36,A)) | -in(B,A) | f334(c36,A,B,C) = B. [resolve(1903,f,1625,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | in(ordered_pair(B,C),f333(c37,A)) | -in(B,A) | f334(c37,A,B,C) = B. [resolve(1903,f,1628,a)]. 29.63/30.49 1904 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -rel_str(B). [resolve(949,a,751,b)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -in(D,A) | subset_complement(the_carrier(rel_str_of(B,C)),f334(rel_str_of(B,C),A,D,E)) != E | -relation_of2(C,B,B). [resolve(1904,f,1554,b)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -in(C,A) | subset_complement(the_carrier(poset_of_lattice(B)),f334(poset_of_lattice(B),A,C,D)) != D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1904,f,1555,d)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | in(ordered_pair(B,C),f333(c5,A)) | -in(B,A) | subset_complement(the_carrier(c5),f334(c5,A,B,C)) != C. [resolve(1904,f,1556,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | in(ordered_pair(B,C),f333(c16,A)) | -in(B,A) | subset_complement(the_carrier(c16),f334(c16,A,B,C)) != C. [resolve(1904,f,1592,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | in(ordered_pair(B,C),f333(c36,A)) | -in(B,A) | subset_complement(the_carrier(c36),f334(c36,A,B,C)) != C. [resolve(1904,f,1625,a)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | in(ordered_pair(B,C),f333(c37,A)) | -in(B,A) | subset_complement(the_carrier(c37),f334(c37,A,B,C)) != C. [resolve(1904,f,1628,a)]. 29.63/30.49 1905 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | function(f333(B,A)) | -rel_str(B). [resolve(950,a,751,b)]. 29.63/30.49 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | function(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1905,d,1554,b)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | function(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1905,d,1555,d)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | function(f333(c5,A)). [resolve(1905,d,1556,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | function(f333(c16,A)). [resolve(1905,d,1592,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | function(f333(c36,A)). [resolve(1905,d,1625,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | function(f333(c37,A)). [resolve(1905,d,1628,a)]. 29.71/30.54 1906 -element(A,powerset(powerset(the_carrier(B)))) | in(f330(B,A),A) | relation(f333(B,A)) | -rel_str(B). [resolve(951,a,751,b)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f330(rel_str_of(B,C),A),A) | relation(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1906,d,1554,b)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f330(poset_of_lattice(B),A),A) | relation(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1906,d,1555,d)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f330(c5,A),A) | relation(f333(c5,A)). [resolve(1906,d,1556,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f330(c16,A),A) | relation(f333(c16,A)). [resolve(1906,d,1592,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f330(c36,A),A) | relation(f333(c36,A)). [resolve(1906,d,1625,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f330(c37,A),A) | relation(f333(c37,A)). [resolve(1906,d,1628,a)]. 29.71/30.54 1907 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -rel_str(B). [resolve(952,a,751,b)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | in(E,A) | -relation_of2(C,B,B). [resolve(1907,g,1554,b)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | in(D,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1907,g,1555,d)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | -in(ordered_pair(C,D),f333(c5,A)) | in(C,A). [resolve(1907,g,1556,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | -in(ordered_pair(C,D),f333(c16,A)) | in(C,A). [resolve(1907,g,1592,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | -in(ordered_pair(C,D),f333(c36,A)) | in(C,A). [resolve(1907,g,1625,a)]. 29.71/30.54 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | -in(ordered_pair(C,D),f333(c37,A)) | in(C,A). [resolve(1907,g,1628,a)]. 29.71/30.54 1908 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(953,a,751,b)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != E | subset_complement(the_carrier(rel_str_of(B,C)),V6) = F | -relation_of2(C,B,B). [resolve(1908,i,1554,b)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != D | subset_complement(the_carrier(poset_of_lattice(B)),F) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1908,i,1555,d)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | -in(ordered_pair(C,D),f333(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(1908,i,1556,a)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | -in(ordered_pair(C,D),f333(c16,A)) | -element(E,powerset(the_carrier(c16))) | E != C | subset_complement(the_carrier(c16),E) = D. [resolve(1908,i,1592,a)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | -in(ordered_pair(C,D),f333(c36,A)) | -element(E,powerset(the_carrier(c36))) | E != C | subset_complement(the_carrier(c36),E) = D. [resolve(1908,i,1625,a)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | -in(ordered_pair(C,D),f333(c37,A)) | -element(E,powerset(the_carrier(c37))) | E != C | subset_complement(the_carrier(c37),E) = D. [resolve(1908,i,1628,a)]. 29.71/30.57 1909 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(954,a,751,b)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -in(E,A) | element(f334(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1909,h,1554,b)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -in(D,A) | element(f334(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1909,h,1555,d)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | in(ordered_pair(C,D),f333(c5,A)) | -in(C,A) | element(f334(c5,A,C,D),powerset(the_carrier(c5))). [resolve(1909,h,1556,a)]. 29.71/30.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | in(ordered_pair(C,D),f333(c16,A)) | -in(C,A) | element(f334(c16,A,C,D),powerset(the_carrier(c16))). [resolve(1909,h,1592,a)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | in(ordered_pair(C,D),f333(c36,A)) | -in(C,A) | element(f334(c36,A,C,D),powerset(the_carrier(c36))). [resolve(1909,h,1625,a)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | in(ordered_pair(C,D),f333(c37,A)) | -in(C,A) | element(f334(c37,A,C,D),powerset(the_carrier(c37))). [resolve(1909,h,1628,a)]. 29.77/30.61 1910 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -rel_str(B). [resolve(955,a,751,b)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -in(E,A) | f334(rel_str_of(B,C),A,E,F) = E | -relation_of2(C,B,B). [resolve(1910,h,1554,b)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -in(D,A) | f334(poset_of_lattice(B),A,D,E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1910,h,1555,d)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | in(ordered_pair(C,D),f333(c5,A)) | -in(C,A) | f334(c5,A,C,D) = C. [resolve(1910,h,1556,a)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | in(ordered_pair(C,D),f333(c16,A)) | -in(C,A) | f334(c16,A,C,D) = C. [resolve(1910,h,1592,a)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | in(ordered_pair(C,D),f333(c36,A)) | -in(C,A) | f334(c36,A,C,D) = C. [resolve(1910,h,1625,a)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | in(ordered_pair(C,D),f333(c37,A)) | -in(C,A) | f334(c37,A,C,D) = C. [resolve(1910,h,1628,a)]. 29.77/30.61 1911 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -rel_str(B). [resolve(956,a,751,b)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -in(E,A) | subset_complement(the_carrier(rel_str_of(B,C)),f334(rel_str_of(B,C),A,E,F)) != F | -relation_of2(C,B,B). [resolve(1911,h,1554,b)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -in(D,A) | subset_complement(the_carrier(poset_of_lattice(B)),f334(poset_of_lattice(B),A,D,E)) != E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1911,h,1555,d)]. 29.77/30.61 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | in(ordered_pair(C,D),f333(c5,A)) | -in(C,A) | subset_complement(the_carrier(c5),f334(c5,A,C,D)) != D. [resolve(1911,h,1556,a)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | in(ordered_pair(C,D),f333(c16,A)) | -in(C,A) | subset_complement(the_carrier(c16),f334(c16,A,C,D)) != D. [resolve(1911,h,1592,a)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | in(ordered_pair(C,D),f333(c36,A)) | -in(C,A) | subset_complement(the_carrier(c36),f334(c36,A,C,D)) != D. [resolve(1911,h,1625,a)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | in(ordered_pair(C,D),f333(c37,A)) | -in(C,A) | subset_complement(the_carrier(c37),f334(c37,A,C,D)) != D. [resolve(1911,h,1628,a)]. 29.77/30.65 1912 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | function(f333(B,A)) | -rel_str(B). [resolve(957,a,751,b)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | function(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1912,f,1554,b)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | function(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1912,f,1555,d)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | function(f333(c5,A)). [resolve(1912,f,1556,a)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | function(f333(c16,A)). [resolve(1912,f,1592,a)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | function(f333(c36,A)). [resolve(1912,f,1625,a)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | function(f333(c37,A)). [resolve(1912,f,1628,a)]. 29.77/30.65 1913 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f331(B,A) | relation(f333(B,A)) | -rel_str(B). [resolve(958,a,751,b)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f331(rel_str_of(B,C),A) | relation(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1913,f,1554,b)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f331(poset_of_lattice(B),A) | relation(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1913,f,1555,d)]. 29.77/30.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f331(c5,A) | relation(f333(c5,A)). [resolve(1913,f,1556,a)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f331(c16,A) | relation(f333(c16,A)). [resolve(1913,f,1592,a)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f331(c36,A) | relation(f333(c36,A)). [resolve(1913,f,1625,a)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f331(c37,A) | relation(f333(c37,A)). [resolve(1913,f,1628,a)]. 29.83/30.70 1914 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | in(D,A) | -rel_str(B). [resolve(959,a,751,b)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | in(E,A) | -relation_of2(C,B,B). [resolve(1914,g,1554,b)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | in(D,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1914,g,1555,d)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | -in(ordered_pair(C,D),f333(c5,A)) | in(C,A). [resolve(1914,g,1556,a)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | -in(ordered_pair(C,D),f333(c16,A)) | in(C,A). [resolve(1914,g,1592,a)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | -in(ordered_pair(C,D),f333(c36,A)) | in(C,A). [resolve(1914,g,1625,a)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | -in(ordered_pair(C,D),f333(c37,A)) | in(C,A). [resolve(1914,g,1628,a)]. 29.83/30.70 1915 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | -in(ordered_pair(D,E),f333(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(960,a,751,b)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != E | subset_complement(the_carrier(rel_str_of(B,C)),V6) = F | -relation_of2(C,B,B). [resolve(1915,i,1554,b)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != D | subset_complement(the_carrier(poset_of_lattice(B)),F) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1915,i,1555,d)]. 29.83/30.70 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | -in(ordered_pair(C,D),f333(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(1915,i,1556,a)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | -in(ordered_pair(C,D),f333(c16,A)) | -element(E,powerset(the_carrier(c16))) | E != C | subset_complement(the_carrier(c16),E) = D. [resolve(1915,i,1592,a)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | -in(ordered_pair(C,D),f333(c36,A)) | -element(E,powerset(the_carrier(c36))) | E != C | subset_complement(the_carrier(c36),E) = D. [resolve(1915,i,1625,a)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | -in(ordered_pair(C,D),f333(c37,A)) | -element(E,powerset(the_carrier(c37))) | E != C | subset_complement(the_carrier(c37),E) = D. [resolve(1915,i,1628,a)]. 29.83/30.74 1916 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | element(f334(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(961,a,751,b)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -in(E,A) | element(f334(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1916,h,1554,b)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -in(D,A) | element(f334(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1916,h,1555,d)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | in(ordered_pair(C,D),f333(c5,A)) | -in(C,A) | element(f334(c5,A,C,D),powerset(the_carrier(c5))). [resolve(1916,h,1556,a)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | in(ordered_pair(C,D),f333(c16,A)) | -in(C,A) | element(f334(c16,A,C,D),powerset(the_carrier(c16))). [resolve(1916,h,1592,a)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | in(ordered_pair(C,D),f333(c36,A)) | -in(C,A) | element(f334(c36,A,C,D),powerset(the_carrier(c36))). [resolve(1916,h,1625,a)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | in(ordered_pair(C,D),f333(c37,A)) | -in(C,A) | element(f334(c37,A,C,D),powerset(the_carrier(c37))). [resolve(1916,h,1628,a)]. 29.83/30.74 1917 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | f334(B,A,D,E) = D | -rel_str(B). [resolve(962,a,751,b)]. 29.83/30.74 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -in(E,A) | f334(rel_str_of(B,C),A,E,F) = E | -relation_of2(C,B,B). [resolve(1917,h,1554,b)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -in(D,A) | f334(poset_of_lattice(B),A,D,E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1917,h,1555,d)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | in(ordered_pair(C,D),f333(c5,A)) | -in(C,A) | f334(c5,A,C,D) = C. [resolve(1917,h,1556,a)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | in(ordered_pair(C,D),f333(c16,A)) | -in(C,A) | f334(c16,A,C,D) = C. [resolve(1917,h,1592,a)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | in(ordered_pair(C,D),f333(c36,A)) | -in(C,A) | f334(c36,A,C,D) = C. [resolve(1917,h,1625,a)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | in(ordered_pair(C,D),f333(c37,A)) | -in(C,A) | f334(c37,A,C,D) = C. [resolve(1917,h,1628,a)]. 29.94/30.78 1918 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | in(ordered_pair(D,E),f333(B,A)) | -in(D,A) | subset_complement(the_carrier(B),f334(B,A,D,E)) != E | -rel_str(B). [resolve(963,a,751,b)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | in(ordered_pair(E,F),f333(rel_str_of(B,C),A)) | -in(E,A) | subset_complement(the_carrier(rel_str_of(B,C)),f334(rel_str_of(B,C),A,E,F)) != F | -relation_of2(C,B,B). [resolve(1918,h,1554,b)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | in(ordered_pair(D,E),f333(poset_of_lattice(B),A)) | -in(D,A) | subset_complement(the_carrier(poset_of_lattice(B)),f334(poset_of_lattice(B),A,D,E)) != E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1918,h,1555,d)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | in(ordered_pair(C,D),f333(c5,A)) | -in(C,A) | subset_complement(the_carrier(c5),f334(c5,A,C,D)) != D. [resolve(1918,h,1556,a)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | in(ordered_pair(C,D),f333(c16,A)) | -in(C,A) | subset_complement(the_carrier(c16),f334(c16,A,C,D)) != D. [resolve(1918,h,1592,a)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | in(ordered_pair(C,D),f333(c36,A)) | -in(C,A) | subset_complement(the_carrier(c36),f334(c36,A,C,D)) != D. [resolve(1918,h,1625,a)]. 29.94/30.78 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | in(ordered_pair(C,D),f333(c37,A)) | -in(C,A) | subset_complement(the_carrier(c37),f334(c37,A,C,D)) != D. [resolve(1918,h,1628,a)]. 29.94/30.78 1919 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | function(f333(B,A)) | -rel_str(B). [resolve(964,a,751,b)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | function(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1919,f,1554,b)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | function(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1919,f,1555,d)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | function(f333(c5,A)). [resolve(1919,f,1556,a)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | function(f333(c16,A)). [resolve(1919,f,1592,a)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | function(f333(c36,A)). [resolve(1919,f,1625,a)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | function(f333(c37,A)). [resolve(1919,f,1628,a)]. 29.99/30.82 1920 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f330(B,A) | subset_complement(the_carrier(B),C) = f332(B,A) | relation(f333(B,A)) | -rel_str(B). [resolve(965,a,751,b)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f330(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f332(rel_str_of(B,C),A) | relation(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1920,f,1554,b)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f330(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f332(poset_of_lattice(B),A) | relation(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1920,f,1555,d)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f330(c5,A) | subset_complement(the_carrier(c5),B) = f332(c5,A) | relation(f333(c5,A)). [resolve(1920,f,1556,a)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f330(c16,A) | subset_complement(the_carrier(c16),B) = f332(c16,A) | relation(f333(c16,A)). [resolve(1920,f,1592,a)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f330(c36,A) | subset_complement(the_carrier(c36),B) = f332(c36,A) | relation(f333(c36,A)). [resolve(1920,f,1625,a)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f330(c37,A) | subset_complement(the_carrier(c37),B) = f332(c37,A) | relation(f333(c37,A)). [resolve(1920,f,1628,a)]. 29.99/30.82 1921 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | in(C,A) | -rel_str(B). [resolve(966,a,751,b)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | -in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | in(D,A) | -relation_of2(C,B,B). [resolve(1921,e,1554,b)]. 29.99/30.82 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | -in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | in(C,A) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1921,e,1555,d)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | -in(ordered_pair(B,C),f333(c5,A)) | in(B,A). [resolve(1921,e,1556,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | -in(ordered_pair(B,C),f333(c16,A)) | in(B,A). [resolve(1921,e,1592,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | -in(ordered_pair(B,C),f333(c36,A)) | in(B,A). [resolve(1921,e,1625,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | -in(ordered_pair(B,C),f333(c37,A)) | in(B,A). [resolve(1921,e,1628,a)]. 30.03/30.86 1922 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | -in(ordered_pair(C,D),f333(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(967,a,751,b)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | -in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != D | subset_complement(the_carrier(rel_str_of(B,C)),F) = E | -relation_of2(C,B,B). [resolve(1922,g,1554,b)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | -in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != C | subset_complement(the_carrier(poset_of_lattice(B)),E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1922,g,1555,d)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | -in(ordered_pair(B,C),f333(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(1922,g,1556,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | -in(ordered_pair(B,C),f333(c16,A)) | -element(D,powerset(the_carrier(c16))) | D != B | subset_complement(the_carrier(c16),D) = C. [resolve(1922,g,1592,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | -in(ordered_pair(B,C),f333(c36,A)) | -element(D,powerset(the_carrier(c36))) | D != B | subset_complement(the_carrier(c36),D) = C. [resolve(1922,g,1625,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | -in(ordered_pair(B,C),f333(c37,A)) | -element(D,powerset(the_carrier(c37))) | D != B | subset_complement(the_carrier(c37),D) = C. [resolve(1922,g,1628,a)]. 30.03/30.86 1923 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | element(f334(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(968,a,751,b)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -in(D,A) | element(f334(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(1923,f,1554,b)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -in(C,A) | element(f334(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1923,f,1555,d)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | in(ordered_pair(B,C),f333(c5,A)) | -in(B,A) | element(f334(c5,A,B,C),powerset(the_carrier(c5))). [resolve(1923,f,1556,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | in(ordered_pair(B,C),f333(c16,A)) | -in(B,A) | element(f334(c16,A,B,C),powerset(the_carrier(c16))). [resolve(1923,f,1592,a)]. 30.03/30.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | in(ordered_pair(B,C),f333(c36,A)) | -in(B,A) | element(f334(c36,A,B,C),powerset(the_carrier(c36))). [resolve(1923,f,1625,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | in(ordered_pair(B,C),f333(c37,A)) | -in(B,A) | element(f334(c37,A,B,C),powerset(the_carrier(c37))). [resolve(1923,f,1628,a)]. 30.03/30.91 1924 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | f334(B,A,C,D) = C | -rel_str(B). [resolve(969,a,751,b)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -in(D,A) | f334(rel_str_of(B,C),A,D,E) = D | -relation_of2(C,B,B). [resolve(1924,f,1554,b)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -in(C,A) | f334(poset_of_lattice(B),A,C,D) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1924,f,1555,d)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | in(ordered_pair(B,C),f333(c5,A)) | -in(B,A) | f334(c5,A,B,C) = B. [resolve(1924,f,1556,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | in(ordered_pair(B,C),f333(c16,A)) | -in(B,A) | f334(c16,A,B,C) = B. [resolve(1924,f,1592,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | in(ordered_pair(B,C),f333(c36,A)) | -in(B,A) | f334(c36,A,B,C) = B. [resolve(1924,f,1625,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | in(ordered_pair(B,C),f333(c37,A)) | -in(B,A) | f334(c37,A,B,C) = B. [resolve(1924,f,1628,a)]. 30.03/30.91 1925 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | in(ordered_pair(C,D),f333(B,A)) | -in(C,A) | subset_complement(the_carrier(B),f334(B,A,C,D)) != D | -rel_str(B). [resolve(970,a,751,b)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | in(ordered_pair(D,E),f333(rel_str_of(B,C),A)) | -in(D,A) | subset_complement(the_carrier(rel_str_of(B,C)),f334(rel_str_of(B,C),A,D,E)) != E | -relation_of2(C,B,B). [resolve(1925,f,1554,b)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | in(ordered_pair(C,D),f333(poset_of_lattice(B),A)) | -in(C,A) | subset_complement(the_carrier(poset_of_lattice(B)),f334(poset_of_lattice(B),A,C,D)) != D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1925,f,1555,d)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | in(ordered_pair(B,C),f333(c5,A)) | -in(B,A) | subset_complement(the_carrier(c5),f334(c5,A,B,C)) != C. [resolve(1925,f,1556,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | in(ordered_pair(B,C),f333(c16,A)) | -in(B,A) | subset_complement(the_carrier(c16),f334(c16,A,B,C)) != C. [resolve(1925,f,1592,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | in(ordered_pair(B,C),f333(c36,A)) | -in(B,A) | subset_complement(the_carrier(c36),f334(c36,A,B,C)) != C. [resolve(1925,f,1625,a)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | in(ordered_pair(B,C),f333(c37,A)) | -in(B,A) | subset_complement(the_carrier(c37),f334(c37,A,B,C)) != C. [resolve(1925,f,1628,a)]. 30.03/30.91 1926 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | function(f333(B,A)) | -rel_str(B). [resolve(971,a,751,b)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | function(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1926,d,1554,b)]. 30.03/30.91 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | function(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1926,d,1555,d)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | function(f333(c5,A)). [resolve(1926,d,1556,a)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | function(f333(c16,A)). [resolve(1926,d,1592,a)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | function(f333(c36,A)). [resolve(1926,d,1625,a)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | function(f333(c37,A)). [resolve(1926,d,1628,a)]. 30.11/30.96 1927 -element(A,powerset(powerset(the_carrier(B)))) | f332(B,A) != f331(B,A) | relation(f333(B,A)) | -rel_str(B). [resolve(972,a,751,b)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f332(rel_str_of(B,C),A) != f331(rel_str_of(B,C),A) | relation(f333(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(1927,d,1554,b)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f332(poset_of_lattice(B),A) != f331(poset_of_lattice(B),A) | relation(f333(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1927,d,1555,d)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f332(c5,A) != f331(c5,A) | relation(f333(c5,A)). [resolve(1927,d,1556,a)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f332(c16,A) != f331(c16,A) | relation(f333(c16,A)). [resolve(1927,d,1592,a)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f332(c36,A) != f331(c36,A) | relation(f333(c36,A)). [resolve(1927,d,1625,a)]. 30.11/30.96 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f332(c37,A) != f331(c37,A) | relation(f333(c37,A)). [resolve(1927,d,1628,a)]. 30.11/30.96 1928 v5_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(973,a,751,b)]. 30.11/30.96 Derived: v5_membered(empty_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1928,b,1554,b)]. 30.11/30.96 Derived: v5_membered(empty_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1928,b,1555,d)]. 30.11/30.96 Derived: v5_membered(empty_carrier_subset(c5)). [resolve(1928,b,1556,a)]. 30.11/30.96 Derived: v5_membered(empty_carrier_subset(c16)). [resolve(1928,b,1592,a)]. 30.11/30.96 Derived: v5_membered(empty_carrier_subset(c36)). [resolve(1928,b,1625,a)]. 30.11/30.96 Derived: v5_membered(empty_carrier_subset(c37)). [resolve(1928,b,1628,a)]. 30.11/30.96 1929 v4_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(974,a,751,b)]. 30.11/30.96 Derived: v4_membered(empty_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1929,b,1554,b)]. 30.11/30.96 Derived: v4_membered(empty_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1929,b,1555,d)]. 30.11/30.96 Derived: v4_membered(empty_carrier_subset(c5)). [resolve(1929,b,1556,a)]. 30.11/30.96 Derived: v4_membered(empty_carrier_subset(c16)). [resolve(1929,b,1592,a)]. 30.11/30.96 Derived: v4_membered(empty_carrier_subset(c36)). [resolve(1929,b,1625,a)]. 30.11/30.96 Derived: v4_membered(empty_carrier_subset(c37)). [resolve(1929,b,1628,a)]. 30.11/30.96 1930 v3_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(975,a,751,b)]. 30.11/30.96 Derived: v3_membered(empty_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1930,b,1554,b)]. 30.11/30.96 Derived: v3_membered(empty_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1930,b,1555,d)]. 30.11/30.96 Derived: v3_membered(empty_carrier_subset(c5)). [resolve(1930,b,1556,a)]. 30.11/30.96 Derived: v3_membered(empty_carrier_subset(c16)). [resolve(1930,b,1592,a)]. 30.11/30.96 Derived: v3_membered(empty_carrier_subset(c36)). [resolve(1930,b,1625,a)]. 30.11/30.96 Derived: v3_membered(empty_carrier_subset(c37)). [resolve(1930,b,1628,a)]. 30.11/30.96 1931 v2_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(976,a,751,b)]. 30.11/30.96 Derived: v2_membered(empty_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1931,b,1554,b)]. 30.11/30.96 Derived: v2_membered(empty_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1931,b,1555,d)]. 30.11/30.96 Derived: v2_membered(empty_carrier_subset(c5)). [resolve(1931,b,1556,a)]. 30.15/31.01 Derived: v2_membered(empty_carrier_subset(c16)). [resolve(1931,b,1592,a)]. 30.15/31.01 Derived: v2_membered(empty_carrier_subset(c36)). [resolve(1931,b,1625,a)]. 30.15/31.01 Derived: v2_membered(empty_carrier_subset(c37)). [resolve(1931,b,1628,a)]. 30.15/31.01 1932 v1_membered(empty_carrier_subset(A)) | -rel_str(A). [resolve(977,a,751,b)]. 30.15/31.01 Derived: v1_membered(empty_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1932,b,1554,b)]. 30.15/31.01 Derived: v1_membered(empty_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1932,b,1555,d)]. 30.15/31.01 Derived: v1_membered(empty_carrier_subset(c5)). [resolve(1932,b,1556,a)]. 30.15/31.01 Derived: v1_membered(empty_carrier_subset(c16)). [resolve(1932,b,1592,a)]. 30.15/31.01 Derived: v1_membered(empty_carrier_subset(c36)). [resolve(1932,b,1625,a)]. 30.15/31.01 Derived: v1_membered(empty_carrier_subset(c37)). [resolve(1932,b,1628,a)]. 30.15/31.01 1933 empty(empty_carrier_subset(A)) | -rel_str(A). [resolve(978,a,751,b)]. 30.15/31.01 Derived: empty(empty_carrier_subset(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(1933,b,1554,b)]. 30.15/31.01 Derived: empty(empty_carrier_subset(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1933,b,1555,d)]. 30.15/31.01 Derived: empty(empty_carrier_subset(c5)). [resolve(1933,b,1556,a)]. 30.15/31.01 Derived: empty(empty_carrier_subset(c16)). [resolve(1933,b,1592,a)]. 30.15/31.01 Derived: empty(empty_carrier_subset(c36)). [resolve(1933,b,1625,a)]. 30.15/31.01 Derived: empty(empty_carrier_subset(c37)). [resolve(1933,b,1628,a)]. 30.15/31.01 1934 empty_carrier(A) | -element(B,the_carrier(A)) | apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B | -rel_str(A). [resolve(979,b,751,b)]. 30.15/31.01 Derived: empty_carrier(rel_str_of(A,B)) | -element(C,the_carrier(rel_str_of(A,B))) | apply_as_element(the_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B)),identity_on_carrier(rel_str_of(A,B)),C) = C | -relation_of2(B,A,A). [resolve(1934,d,1554,b)]. 30.15/31.01 Derived: empty_carrier(poset_of_lattice(A)) | -element(B,the_carrier(poset_of_lattice(A))) | apply_as_element(the_carrier(poset_of_lattice(A)),the_carrier(poset_of_lattice(A)),identity_on_carrier(poset_of_lattice(A)),B) = B | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1934,d,1555,d)]. 30.15/31.01 Derived: empty_carrier(c5) | -element(A,the_carrier(c5)) | apply_as_element(the_carrier(c5),the_carrier(c5),identity_on_carrier(c5),A) = A. [resolve(1934,d,1556,a)]. 30.15/31.01 Derived: empty_carrier(c16) | -element(A,the_carrier(c16)) | apply_as_element(the_carrier(c16),the_carrier(c16),identity_on_carrier(c16),A) = A. [resolve(1934,d,1592,a)]. 30.15/31.01 Derived: empty_carrier(c36) | -element(A,the_carrier(c36)) | apply_as_element(the_carrier(c36),the_carrier(c36),identity_on_carrier(c36),A) = A. [resolve(1934,d,1625,a)]. 30.15/31.01 Derived: empty_carrier(c37) | -element(A,the_carrier(c37)) | apply_as_element(the_carrier(c37),the_carrier(c37),identity_on_carrier(c37),A) = A. [resolve(1934,d,1628,a)]. 30.15/31.01 1935 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) | -rel_str(A). [resolve(980,b,751,b)]. 30.15/31.01 Derived: empty_carrier(rel_str_of(A,B)) | -element(C,powerset(the_carrier(rel_str_of(A,B)))) | -element(D,the_carrier(rel_str_of(A,B))) | -in(D,subset_complement(the_carrier(rel_str_of(A,B)),C)) | -in(D,C) | -relation_of2(B,A,A). [resolve(1935,f,1554,b)]. 30.15/31.01 Derived: empty_carrier(poset_of_lattice(A)) | -element(B,powerset(the_carrier(poset_of_lattice(A)))) | -element(C,the_carrier(poset_of_lattice(A))) | -in(C,subset_complement(the_carrier(poset_of_lattice(A)),B)) | -in(C,B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1935,f,1555,d)]. 30.15/31.01 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(1935,f,1556,a)]. 30.15/31.01 Derived: empty_carrier(c16) | -element(A,powerset(the_carrier(c16))) | -element(B,the_carrier(c16)) | -in(B,subset_complement(the_carrier(c16),A)) | -in(B,A). [resolve(1935,f,1592,a)]. 30.15/31.01 Derived: empty_carrier(c36) | -element(A,powerset(the_carrier(c36))) | -element(B,the_carrier(c36)) | -in(B,subset_complement(the_carrier(c36),A)) | -in(B,A). [resolve(1935,f,1625,a)]. 30.23/31.06 Derived: empty_carrier(c37) | -element(A,powerset(the_carrier(c37))) | -element(B,the_carrier(c37)) | -in(B,subset_complement(the_carrier(c37),A)) | -in(B,A). [resolve(1935,f,1628,a)]. 30.23/31.06 1936 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) | -rel_str(A). [resolve(981,b,751,b)]. 30.23/31.06 Derived: empty_carrier(rel_str_of(A,B)) | -element(C,powerset(the_carrier(rel_str_of(A,B)))) | -element(D,the_carrier(rel_str_of(A,B))) | in(D,subset_complement(the_carrier(rel_str_of(A,B)),C)) | in(D,C) | -relation_of2(B,A,A). [resolve(1936,f,1554,b)]. 30.23/31.06 Derived: empty_carrier(poset_of_lattice(A)) | -element(B,powerset(the_carrier(poset_of_lattice(A)))) | -element(C,the_carrier(poset_of_lattice(A))) | in(C,subset_complement(the_carrier(poset_of_lattice(A)),B)) | in(C,B) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(1936,f,1555,d)]. 30.23/31.06 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(1936,f,1556,a)]. 30.23/31.06 Derived: empty_carrier(c16) | -element(A,powerset(the_carrier(c16))) | -element(B,the_carrier(c16)) | in(B,subset_complement(the_carrier(c16),A)) | in(B,A). [resolve(1936,f,1592,a)]. 30.23/31.06 Derived: empty_carrier(c36) | -element(A,powerset(the_carrier(c36))) | -element(B,the_carrier(c36)) | in(B,subset_complement(the_carrier(c36),A)) | in(B,A). [resolve(1936,f,1625,a)]. 30.23/31.06 Derived: empty_carrier(c37) | -element(A,powerset(the_carrier(c37))) | -element(B,the_carrier(c37)) | in(B,subset_complement(the_carrier(c37),A)) | in(B,A). [resolve(1936,f,1628,a)]. 30.23/31.06 1937 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(983,a,751,b)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1937,e,1554,b)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1937,e,1555,d)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1937,e,1556,a)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(1937,e,1592,a)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(1937,e,1625,a)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(1937,e,1628,a)]. 30.23/31.06 1938 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(984,a,751,b)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1938,g,1554,b)]. 30.23/31.06 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1938,g,1555,d)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(1938,g,1556,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(1938,g,1592,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(1938,g,1625,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(1938,g,1628,a)]. 30.23/31.10 1939 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(985,a,751,b)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1939,e,1554,b)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1939,e,1555,d)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(1939,e,1556,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(1939,e,1592,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(1939,e,1625,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(1939,e,1628,a)]. 30.23/31.10 1940 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(986,a,751,b)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1940,e,1554,b)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1940,e,1555,d)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(1940,e,1556,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(1940,e,1592,a)]. 30.23/31.10 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(1940,e,1625,a)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(1940,e,1628,a)]. 30.28/31.13 1941 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(987,a,751,b)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1941,e,1554,b)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1941,e,1555,d)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1941,e,1556,a)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1941,e,1592,a)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1941,e,1625,a)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1941,e,1628,a)]. 30.28/31.13 1942 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(988,a,751,b)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1942,i,1554,b)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1942,i,1555,d)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1942,i,1556,a)]. 30.28/31.13 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1942,i,1592,a)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1942,i,1625,a)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1942,i,1628,a)]. 30.32/31.17 1943 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(989,a,751,b)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1943,i,1554,b)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1943,i,1555,d)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1943,i,1556,a)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1943,i,1592,a)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1943,i,1625,a)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1943,i,1628,a)]. 30.32/31.17 1944 -element(A,powerset(powerset(the_carrier(B)))) | f380(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(990,a,751,b)]. 30.32/31.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f380(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1944,i,1554,b)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f380(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1944,i,1555,d)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f380(c5,A,B) = f379(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1944,i,1556,a)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f380(c16,A,B) = f379(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1944,i,1592,a)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f380(c36,A,B) = f379(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1944,i,1625,a)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f380(c37,A,B) = f379(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1944,i,1628,a)]. 30.32/31.21 1945 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(991,a,751,b)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1945,e,1554,b)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1945,e,1555,d)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1945,e,1556,a)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(1945,e,1592,a)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(1945,e,1625,a)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(1945,e,1628,a)]. 30.32/31.21 1946 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(992,a,751,b)]. 30.32/31.21 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1946,g,1554,b)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1946,g,1555,d)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(1946,g,1556,a)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(1946,g,1592,a)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(1946,g,1625,a)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(1946,g,1628,a)]. 30.41/31.25 1947 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(993,a,751,b)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1947,e,1554,b)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1947,e,1555,d)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(1947,e,1556,a)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(1947,e,1592,a)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(1947,e,1625,a)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(1947,e,1628,a)]. 30.41/31.25 1948 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(994,a,751,b)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1948,e,1554,b)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1948,e,1555,d)]. 30.41/31.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(1948,e,1556,a)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(1948,e,1592,a)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(1948,e,1625,a)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(1948,e,1628,a)]. 30.45/31.28 1949 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(995,a,751,b)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1949,e,1554,b)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1949,e,1555,d)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1949,e,1556,a)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1949,e,1592,a)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1949,e,1625,a)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1949,e,1628,a)]. 30.45/31.28 1950 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(996,a,751,b)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1950,i,1554,b)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1950,i,1555,d)]. 30.45/31.28 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1950,i,1556,a)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1950,i,1592,a)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1950,i,1625,a)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1950,i,1628,a)]. 30.45/31.32 1951 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(997,a,751,b)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1951,i,1554,b)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1951,i,1555,d)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1951,i,1556,a)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1951,i,1592,a)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1951,i,1625,a)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1951,i,1628,a)]. 30.45/31.32 1952 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) = f379(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(998,a,751,b)]. 30.45/31.32 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) = f379(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1952,i,1554,b)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) = f379(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1952,i,1555,d)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) = f379(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1952,i,1556,a)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) = f379(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1952,i,1592,a)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) = f379(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1952,i,1625,a)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) = f379(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1952,i,1628,a)]. 30.45/31.35 1953 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(999,a,751,b)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1953,e,1554,b)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1953,e,1555,d)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1953,e,1556,a)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(1953,e,1592,a)]. 30.45/31.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(1953,e,1625,a)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(1953,e,1628,a)]. 30.54/31.38 1954 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1000,a,751,b)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1954,g,1554,b)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1954,g,1555,d)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(1954,g,1556,a)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(1954,g,1592,a)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(1954,g,1625,a)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(1954,g,1628,a)]. 30.54/31.38 1955 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1001,a,751,b)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1955,e,1554,b)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1955,e,1555,d)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(1955,e,1556,a)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(1955,e,1592,a)]. 30.54/31.38 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(1955,e,1625,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(1955,e,1628,a)]. 30.54/31.42 1956 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1002,a,751,b)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1956,e,1554,b)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1956,e,1555,d)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(1956,e,1556,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(1956,e,1592,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(1956,e,1625,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(1956,e,1628,a)]. 30.54/31.42 1957 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1003,a,751,b)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1957,e,1554,b)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1957,e,1555,d)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1957,e,1556,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1957,e,1592,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1957,e,1625,a)]. 30.54/31.42 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1957,e,1628,a)]. 30.54/31.42 1958 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1004,a,751,b)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1958,i,1554,b)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1958,i,1555,d)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1958,i,1556,a)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1958,i,1592,a)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1958,i,1625,a)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1958,i,1628,a)]. 30.60/31.45 1959 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1005,a,751,b)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1959,i,1554,b)]. 30.60/31.45 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1959,i,1555,d)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1959,i,1556,a)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1959,i,1592,a)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1959,i,1625,a)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1959,i,1628,a)]. 30.62/31.48 1960 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f382(B,A,C),f383(B,A,C)) = f381(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1006,a,751,b)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f382(rel_str_of(B,C),A,D),f383(rel_str_of(B,C),A,D)) = f381(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1960,i,1554,b)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f382(poset_of_lattice(B),A,C),f383(poset_of_lattice(B),A,C)) = f381(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1960,i,1555,d)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f382(c5,A,B),f383(c5,A,B)) = f381(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1960,i,1556,a)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f382(c16,A,B),f383(c16,A,B)) = f381(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1960,i,1592,a)]. 30.62/31.48 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f382(c36,A,B),f383(c36,A,B)) = f381(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1960,i,1625,a)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f382(c37,A,B),f383(c37,A,B)) = f381(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1960,i,1628,a)]. 30.69/31.52 1961 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1007,a,751,b)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | in(f388(rel_str_of(B,C),A,E,F),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1961,g,1554,b)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | in(f388(poset_of_lattice(B),A,D,E),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1961,g,1555,d)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | -in(D,f386(c5,A,C)) | in(f388(c5,A,C,D),complements_of_subsets(the_carrier(c5),A)). [resolve(1961,g,1556,a)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | -in(D,f386(c16,A,C)) | in(f388(c16,A,C,D),complements_of_subsets(the_carrier(c16),A)). [resolve(1961,g,1592,a)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | -in(D,f386(c36,A,C)) | in(f388(c36,A,C,D),complements_of_subsets(the_carrier(c36),A)). [resolve(1961,g,1625,a)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | -in(D,f386(c37,A,C)) | in(f388(c37,A,C,D),complements_of_subsets(the_carrier(c37),A)). [resolve(1961,g,1628,a)]. 30.69/31.52 1962 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -rel_str(B). [resolve(1008,a,751,b)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != f388(rel_str_of(B,C),A,E,F) | subset_complement(the_carrier(rel_str_of(B,C)),V6) = f389(rel_str_of(B,C),A,E,F) | -relation_of2(C,B,B). [resolve(1962,i,1554,b)]. 30.69/31.52 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != f388(poset_of_lattice(B),A,D,E) | subset_complement(the_carrier(poset_of_lattice(B)),F) = f389(poset_of_lattice(B),A,D,E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1962,i,1555,d)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | -in(D,f386(c5,A,C)) | -element(E,powerset(the_carrier(c5))) | E != f388(c5,A,C,D) | subset_complement(the_carrier(c5),E) = f389(c5,A,C,D). [resolve(1962,i,1556,a)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | -in(D,f386(c16,A,C)) | -element(E,powerset(the_carrier(c16))) | E != f388(c16,A,C,D) | subset_complement(the_carrier(c16),E) = f389(c16,A,C,D). [resolve(1962,i,1592,a)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | -in(D,f386(c36,A,C)) | -element(E,powerset(the_carrier(c36))) | E != f388(c36,A,C,D) | subset_complement(the_carrier(c36),E) = f389(c36,A,C,D). [resolve(1962,i,1625,a)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | -in(D,f386(c37,A,C)) | -element(E,powerset(the_carrier(c37))) | E != f388(c37,A,C,D) | subset_complement(the_carrier(c37),E) = f389(c37,A,C,D). [resolve(1962,i,1628,a)]. 30.73/31.56 1963 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -rel_str(B). [resolve(1009,a,751,b)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | ordered_pair(f388(rel_str_of(B,C),A,E,F),f389(rel_str_of(B,C),A,E,F)) = F | -relation_of2(C,B,B). [resolve(1963,g,1554,b)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | ordered_pair(f388(poset_of_lattice(B),A,D,E),f389(poset_of_lattice(B),A,D,E)) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1963,g,1555,d)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | -in(D,f386(c5,A,C)) | ordered_pair(f388(c5,A,C,D),f389(c5,A,C,D)) = D. [resolve(1963,g,1556,a)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | -in(D,f386(c16,A,C)) | ordered_pair(f388(c16,A,C,D),f389(c16,A,C,D)) = D. [resolve(1963,g,1592,a)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | -in(D,f386(c36,A,C)) | ordered_pair(f388(c36,A,C,D),f389(c36,A,C,D)) = D. [resolve(1963,g,1625,a)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | -in(D,f386(c37,A,C)) | ordered_pair(f388(c37,A,C,D),f389(c37,A,C,D)) = D. [resolve(1963,g,1628,a)]. 30.73/31.56 1964 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -rel_str(B). [resolve(1010,a,751,b)]. 30.73/31.56 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | f387(rel_str_of(B,C),A,E,F) = F | -relation_of2(C,B,B). [resolve(1964,g,1554,b)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | f387(poset_of_lattice(B),A,D,E) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1964,g,1555,d)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | -in(D,f386(c5,A,C)) | f387(c5,A,C,D) = D. [resolve(1964,g,1556,a)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | -in(D,f386(c16,A,C)) | f387(c16,A,C,D) = D. [resolve(1964,g,1592,a)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | -in(D,f386(c36,A,C)) | f387(c36,A,C,D) = D. [resolve(1964,g,1625,a)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | -in(D,f386(c37,A,C)) | f387(c37,A,C,D) = D. [resolve(1964,g,1628,a)]. 30.73/31.59 1965 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1011,a,751,b)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | in(f387(rel_str_of(B,C),A,E,F),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1965,g,1554,b)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | in(f387(poset_of_lattice(B),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1965,g,1555,d)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | -in(D,f386(c5,A,C)) | in(f387(c5,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1965,g,1556,a)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | -in(D,f386(c16,A,C)) | in(f387(c16,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1965,g,1592,a)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | -in(D,f386(c36,A,C)) | in(f387(c36,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1965,g,1625,a)]. 30.73/31.59 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | -in(D,f386(c37,A,C)) | in(f387(c37,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1965,g,1628,a)]. 30.73/31.63 1966 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1012,a,751,b)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | in(F,f386(rel_str_of(B,C),A,E)) | -in(V6,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,E,F,V7,V6,V8),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1966,k,1554,b)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | in(E,f386(poset_of_lattice(B),A,D)) | -in(F,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,D,E,V6,F,V7),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1966,k,1555,d)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | in(D,f386(c5,A,C)) | -in(E,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,C,D,F,E,V6),powerset(the_carrier(c5))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1966,k,1556,a)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | in(D,f386(c16,A,C)) | -in(E,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,C,D,F,E,V6),powerset(the_carrier(c16))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1966,k,1592,a)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | in(D,f386(c36,A,C)) | -in(E,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,C,D,F,E,V6),powerset(the_carrier(c36))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1966,k,1625,a)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | in(D,f386(c37,A,C)) | -in(E,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,C,D,F,E,V6),powerset(the_carrier(c37))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1966,k,1628,a)]. 30.73/31.63 1967 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1013,a,751,b)]. 30.73/31.63 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | in(F,f386(rel_str_of(B,C),A,E)) | -in(V6,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,E,F,V7,V6,V8) = V6 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1967,k,1554,b)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | in(E,f386(poset_of_lattice(B),A,D)) | -in(F,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1967,k,1555,d)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | in(D,f386(c5,A,C)) | -in(E,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1967,k,1556,a)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | in(D,f386(c16,A,C)) | -in(E,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1967,k,1592,a)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | in(D,f386(c36,A,C)) | -in(E,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1967,k,1625,a)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | in(D,f386(c37,A,C)) | -in(E,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1967,k,1628,a)]. 30.81/31.66 1968 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | f382(B,A,D) != C | subset_complement(the_carrier(B),C) = f383(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1014,a,751,b)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | f382(rel_str_of(B,C),A,E) != D | subset_complement(the_carrier(rel_str_of(B,C)),D) = f383(rel_str_of(B,C),A,E) | in(F,f386(rel_str_of(B,C),A,E)) | -in(V6,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,E,F,V7,V6,V8)) != V8 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1968,k,1554,b)]. 30.81/31.66 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | f382(poset_of_lattice(B),A,D) != C | subset_complement(the_carrier(poset_of_lattice(B)),C) = f383(poset_of_lattice(B),A,D) | in(E,f386(poset_of_lattice(B),A,D)) | -in(F,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1968,k,1555,d)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | f382(c5,A,C) != B | subset_complement(the_carrier(c5),B) = f383(c5,A,C) | in(D,f386(c5,A,C)) | -in(E,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1968,k,1556,a)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | f382(c16,A,C) != B | subset_complement(the_carrier(c16),B) = f383(c16,A,C) | in(D,f386(c16,A,C)) | -in(E,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1968,k,1592,a)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | f382(c36,A,C) != B | subset_complement(the_carrier(c36),B) = f383(c36,A,C) | in(D,f386(c36,A,C)) | -in(E,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1968,k,1625,a)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | f382(c37,A,C) != B | subset_complement(the_carrier(c37),B) = f383(c37,A,C) | in(D,f386(c37,A,C)) | -in(E,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1968,k,1628,a)]. 30.84/31.69 1969 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1015,a,751,b)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1969,e,1554,b)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1969,e,1555,d)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1969,e,1556,a)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(1969,e,1592,a)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(1969,e,1625,a)]. 30.84/31.69 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(1969,e,1628,a)]. 30.84/31.69 1970 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1016,a,751,b)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1970,g,1554,b)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1970,g,1555,d)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(1970,g,1556,a)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(1970,g,1592,a)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(1970,g,1625,a)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(1970,g,1628,a)]. 30.84/31.73 1971 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1017,a,751,b)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1971,e,1554,b)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1971,e,1555,d)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(1971,e,1556,a)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(1971,e,1592,a)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(1971,e,1625,a)]. 30.84/31.73 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(1971,e,1628,a)]. 30.84/31.73 1972 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1018,a,751,b)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1972,e,1554,b)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1972,e,1555,d)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(1972,e,1556,a)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(1972,e,1592,a)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(1972,e,1625,a)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(1972,e,1628,a)]. 30.92/31.77 1973 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1019,a,751,b)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1973,e,1554,b)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1973,e,1555,d)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1973,e,1556,a)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1973,e,1592,a)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1973,e,1625,a)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1973,e,1628,a)]. 30.92/31.77 1974 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1020,a,751,b)]. 30.92/31.77 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1974,i,1554,b)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1974,i,1555,d)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1974,i,1556,a)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1974,i,1592,a)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1974,i,1625,a)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1974,i,1628,a)]. 30.92/31.79 1975 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1021,a,751,b)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1975,i,1554,b)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1975,i,1555,d)]. 30.92/31.79 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1975,i,1556,a)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1975,i,1592,a)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1975,i,1625,a)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1975,i,1628,a)]. 30.99/31.82 1976 -element(A,powerset(powerset(the_carrier(B)))) | in(f382(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1022,a,751,b)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f382(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1976,i,1554,b)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f382(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1976,i,1555,d)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f382(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1976,i,1556,a)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f382(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1976,i,1592,a)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f382(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1976,i,1625,a)]. 30.99/31.82 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f382(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1976,i,1628,a)]. 30.99/31.86 1977 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1023,a,751,b)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1977,e,1554,b)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1977,e,1555,d)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1977,e,1556,a)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(1977,e,1592,a)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(1977,e,1625,a)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(1977,e,1628,a)]. 30.99/31.86 1978 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1024,a,751,b)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1978,g,1554,b)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1978,g,1555,d)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(1978,g,1556,a)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(1978,g,1592,a)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(1978,g,1625,a)]. 30.99/31.86 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(1978,g,1628,a)]. 31.04/31.90 1979 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1025,a,751,b)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1979,e,1554,b)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1979,e,1555,d)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(1979,e,1556,a)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(1979,e,1592,a)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(1979,e,1625,a)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(1979,e,1628,a)]. 31.04/31.90 1980 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1026,a,751,b)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1980,e,1554,b)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1980,e,1555,d)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(1980,e,1556,a)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(1980,e,1592,a)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(1980,e,1625,a)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(1980,e,1628,a)]. 31.04/31.90 1981 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1027,a,751,b)]. 31.04/31.90 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1981,e,1554,b)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1981,e,1555,d)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1981,e,1556,a)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1981,e,1592,a)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1981,e,1625,a)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1981,e,1628,a)]. 31.04/31.93 1982 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1028,a,751,b)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1982,i,1554,b)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1982,i,1555,d)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1982,i,1556,a)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1982,i,1592,a)]. 31.04/31.93 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1982,i,1625,a)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1982,i,1628,a)]. 31.13/31.97 1983 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1029,a,751,b)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1983,i,1554,b)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1983,i,1555,d)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1983,i,1556,a)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1983,i,1592,a)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1983,i,1625,a)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1983,i,1628,a)]. 31.13/31.97 1984 -element(A,powerset(powerset(the_carrier(B)))) | ordered_pair(f384(B,A,C),f385(B,A,C)) = f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1030,a,751,b)]. 31.13/31.97 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | ordered_pair(f384(rel_str_of(B,C),A,D),f385(rel_str_of(B,C),A,D)) = f380(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1984,i,1554,b)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | ordered_pair(f384(poset_of_lattice(B),A,C),f385(poset_of_lattice(B),A,C)) = f380(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1984,i,1555,d)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | ordered_pair(f384(c5,A,B),f385(c5,A,B)) = f380(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1984,i,1556,a)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | ordered_pair(f384(c16,A,B),f385(c16,A,B)) = f380(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1984,i,1592,a)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | ordered_pair(f384(c36,A,B),f385(c36,A,B)) = f380(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1984,i,1625,a)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | ordered_pair(f384(c37,A,B),f385(c37,A,B)) = f380(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1984,i,1628,a)]. 31.16/32.00 1985 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f388(B,A,D,E),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1031,a,751,b)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | in(f388(rel_str_of(B,C),A,E,F),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1985,g,1554,b)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | in(f388(poset_of_lattice(B),A,D,E),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1985,g,1555,d)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | -in(D,f386(c5,A,C)) | in(f388(c5,A,C,D),complements_of_subsets(the_carrier(c5),A)). [resolve(1985,g,1556,a)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | -in(D,f386(c16,A,C)) | in(f388(c16,A,C,D),complements_of_subsets(the_carrier(c16),A)). [resolve(1985,g,1592,a)]. 31.16/32.00 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | -in(D,f386(c36,A,C)) | in(f388(c36,A,C,D),complements_of_subsets(the_carrier(c36),A)). [resolve(1985,g,1625,a)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | -in(D,f386(c37,A,C)) | in(f388(c37,A,C,D),complements_of_subsets(the_carrier(c37),A)). [resolve(1985,g,1628,a)]. 31.20/32.04 1986 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | -element(F,powerset(the_carrier(B))) | F != f388(B,A,D,E) | subset_complement(the_carrier(B),F) = f389(B,A,D,E) | -rel_str(B). [resolve(1032,a,751,b)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != f388(rel_str_of(B,C),A,E,F) | subset_complement(the_carrier(rel_str_of(B,C)),V6) = f389(rel_str_of(B,C),A,E,F) | -relation_of2(C,B,B). [resolve(1986,i,1554,b)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != f388(poset_of_lattice(B),A,D,E) | subset_complement(the_carrier(poset_of_lattice(B)),F) = f389(poset_of_lattice(B),A,D,E) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1986,i,1555,d)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | -in(D,f386(c5,A,C)) | -element(E,powerset(the_carrier(c5))) | E != f388(c5,A,C,D) | subset_complement(the_carrier(c5),E) = f389(c5,A,C,D). [resolve(1986,i,1556,a)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | -in(D,f386(c16,A,C)) | -element(E,powerset(the_carrier(c16))) | E != f388(c16,A,C,D) | subset_complement(the_carrier(c16),E) = f389(c16,A,C,D). [resolve(1986,i,1592,a)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | -in(D,f386(c36,A,C)) | -element(E,powerset(the_carrier(c36))) | E != f388(c36,A,C,D) | subset_complement(the_carrier(c36),E) = f389(c36,A,C,D). [resolve(1986,i,1625,a)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | -in(D,f386(c37,A,C)) | -element(E,powerset(the_carrier(c37))) | E != f388(c37,A,C,D) | subset_complement(the_carrier(c37),E) = f389(c37,A,C,D). [resolve(1986,i,1628,a)]. 31.20/32.04 1987 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | ordered_pair(f388(B,A,D,E),f389(B,A,D,E)) = E | -rel_str(B). [resolve(1033,a,751,b)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | ordered_pair(f388(rel_str_of(B,C),A,E,F),f389(rel_str_of(B,C),A,E,F)) = F | -relation_of2(C,B,B). [resolve(1987,g,1554,b)]. 31.20/32.04 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | ordered_pair(f388(poset_of_lattice(B),A,D,E),f389(poset_of_lattice(B),A,D,E)) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1987,g,1555,d)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | -in(D,f386(c5,A,C)) | ordered_pair(f388(c5,A,C,D),f389(c5,A,C,D)) = D. [resolve(1987,g,1556,a)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | -in(D,f386(c16,A,C)) | ordered_pair(f388(c16,A,C,D),f389(c16,A,C,D)) = D. [resolve(1987,g,1592,a)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | -in(D,f386(c36,A,C)) | ordered_pair(f388(c36,A,C,D),f389(c36,A,C,D)) = D. [resolve(1987,g,1625,a)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | -in(D,f386(c37,A,C)) | ordered_pair(f388(c37,A,C,D),f389(c37,A,C,D)) = D. [resolve(1987,g,1628,a)]. 31.21/32.08 1988 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | f387(B,A,D,E) = E | -rel_str(B). [resolve(1034,a,751,b)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | f387(rel_str_of(B,C),A,E,F) = F | -relation_of2(C,B,B). [resolve(1988,g,1554,b)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | f387(poset_of_lattice(B),A,D,E) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1988,g,1555,d)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | -in(D,f386(c5,A,C)) | f387(c5,A,C,D) = D. [resolve(1988,g,1556,a)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | -in(D,f386(c16,A,C)) | f387(c16,A,C,D) = D. [resolve(1988,g,1592,a)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | -in(D,f386(c36,A,C)) | f387(c36,A,C,D) = D. [resolve(1988,g,1625,a)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | -in(D,f386(c37,A,C)) | f387(c37,A,C,D) = D. [resolve(1988,g,1628,a)]. 31.21/32.08 1989 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | -in(E,f386(B,A,D)) | in(f387(B,A,D,E),cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1035,a,751,b)]. 31.21/32.08 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | -in(F,f386(rel_str_of(B,C),A,E)) | in(f387(rel_str_of(B,C),A,E,F),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1989,g,1554,b)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | -in(E,f386(poset_of_lattice(B),A,D)) | in(f387(poset_of_lattice(B),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1989,g,1555,d)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | -in(D,f386(c5,A,C)) | in(f387(c5,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1989,g,1556,a)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | -in(D,f386(c16,A,C)) | in(f387(c16,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1989,g,1592,a)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | -in(D,f386(c36,A,C)) | in(f387(c36,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1989,g,1625,a)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | -in(D,f386(c37,A,C)) | in(f387(c37,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1989,g,1628,a)]. 31.27/32.11 1990 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,D,E,V6,F,V7),powerset(the_carrier(B))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1036,a,751,b)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | in(F,f386(rel_str_of(B,C),A,E)) | -in(V6,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,E,F,V7,V6,V8),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1990,k,1554,b)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | in(E,f386(poset_of_lattice(B),A,D)) | -in(F,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,D,E,V6,F,V7),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1990,k,1555,d)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | in(D,f386(c5,A,C)) | -in(E,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,C,D,F,E,V6),powerset(the_carrier(c5))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1990,k,1556,a)]. 31.27/32.11 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | in(D,f386(c16,A,C)) | -in(E,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,C,D,F,E,V6),powerset(the_carrier(c16))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1990,k,1592,a)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | in(D,f386(c36,A,C)) | -in(E,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,C,D,F,E,V6),powerset(the_carrier(c36))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1990,k,1625,a)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | in(D,f386(c37,A,C)) | -in(E,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,C,D,F,E,V6),powerset(the_carrier(c37))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1990,k,1628,a)]. 31.27/32.14 1991 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | f390(B,A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1037,a,751,b)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | in(F,f386(rel_str_of(B,C),A,E)) | -in(V6,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,E,F,V7,V6,V8) = V6 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1991,k,1554,b)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | in(E,f386(poset_of_lattice(B),A,D)) | -in(F,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1991,k,1555,d)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | in(D,f386(c5,A,C)) | -in(E,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1991,k,1556,a)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | in(D,f386(c16,A,C)) | -in(E,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1991,k,1592,a)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | in(D,f386(c36,A,C)) | -in(E,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1991,k,1625,a)]. 31.27/32.14 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | in(D,f386(c37,A,C)) | -in(E,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1991,k,1628,a)]. 31.33/32.17 1992 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f384(B,A,D) | subset_complement(the_carrier(B),C) = f385(B,A,D) | in(E,f386(B,A,D)) | -in(F,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(B),A),D)) | -rel_str(B). [resolve(1038,a,751,b)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f384(rel_str_of(B,C),A,E) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f385(rel_str_of(B,C),A,E) | in(F,f386(rel_str_of(B,C),A,E)) | -in(V6,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,E,F,V7,V6,V8)) != V8 | ordered_pair(V6,V8) != F | V7 != F | -in(V7,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),E)) | -relation_of2(C,B,B). [resolve(1992,k,1554,b)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f384(poset_of_lattice(B),A,D) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f385(poset_of_lattice(B),A,D) | in(E,f386(poset_of_lattice(B),A,D)) | -in(F,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),D)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1992,k,1555,d)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f384(c5,A,C) | subset_complement(the_carrier(c5),B) = f385(c5,A,C) | in(D,f386(c5,A,C)) | -in(E,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c5),A),C)). [resolve(1992,k,1556,a)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f384(c16,A,C) | subset_complement(the_carrier(c16),B) = f385(c16,A,C) | in(D,f386(c16,A,C)) | -in(E,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c16),A),C)). [resolve(1992,k,1592,a)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f384(c36,A,C) | subset_complement(the_carrier(c36),B) = f385(c36,A,C) | in(D,f386(c36,A,C)) | -in(E,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c36),A),C)). [resolve(1992,k,1625,a)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f384(c37,A,C) | subset_complement(the_carrier(c37),B) = f385(c37,A,C) | in(D,f386(c37,A,C)) | -in(E,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(c37),A),C)). [resolve(1992,k,1628,a)]. 31.33/32.17 1993 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1039,a,751,b)]. 31.33/32.17 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(1993,e,1554,b)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1993,e,1555,d)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(1993,e,1556,a)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(1993,e,1592,a)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(1993,e,1625,a)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(1993,e,1628,a)]. 31.33/32.21 1994 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1040,a,751,b)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(1994,g,1554,b)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1994,g,1555,d)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(1994,g,1556,a)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(1994,g,1592,a)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(1994,g,1625,a)]. 31.33/32.21 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(1994,g,1628,a)]. 31.33/32.21 1995 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1041,a,751,b)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(1995,e,1554,b)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1995,e,1555,d)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(1995,e,1556,a)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(1995,e,1592,a)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(1995,e,1625,a)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(1995,e,1628,a)]. 31.33/32.25 1996 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1042,a,751,b)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(1996,e,1554,b)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1996,e,1555,d)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(1996,e,1556,a)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(1996,e,1592,a)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(1996,e,1625,a)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(1996,e,1628,a)]. 31.33/32.25 1997 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1043,a,751,b)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1997,e,1554,b)]. 31.33/32.25 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1997,e,1555,d)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1997,e,1556,a)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1997,e,1592,a)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1997,e,1625,a)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1997,e,1628,a)]. 31.43/32.27 1998 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1044,a,751,b)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1998,i,1554,b)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1998,i,1555,d)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1998,i,1556,a)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1998,i,1592,a)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1998,i,1625,a)]. 31.43/32.27 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1998,i,1628,a)]. 31.46/32.31 1999 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1045,a,751,b)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(1999,i,1554,b)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(1999,i,1555,d)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(1999,i,1556,a)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(1999,i,1592,a)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(1999,i,1625,a)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(1999,i,1628,a)]. 31.46/32.31 2000 -element(A,powerset(powerset(the_carrier(B)))) | in(f384(B,A,C),complements_of_subsets(the_carrier(B),A)) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1046,a,751,b)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f384(rel_str_of(B,C),A,D),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(2000,i,1554,b)]. 31.46/32.31 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f384(poset_of_lattice(B),A,C),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2000,i,1555,d)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f384(c5,A,B),complements_of_subsets(the_carrier(c5),A)) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(2000,i,1556,a)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f384(c16,A,B),complements_of_subsets(the_carrier(c16),A)) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(2000,i,1592,a)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f384(c36,A,B),complements_of_subsets(the_carrier(c36),A)) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(2000,i,1625,a)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f384(c37,A,B),complements_of_subsets(the_carrier(c37),A)) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(2000,i,1628,a)]. 31.51/32.35 2001 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f388(B,A,C,D),complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1047,a,751,b)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f388(rel_str_of(B,C),A,D,E),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(2001,e,1554,b)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f388(poset_of_lattice(B),A,C,D),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2001,e,1555,d)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | -in(C,f386(c5,A,B)) | in(f388(c5,A,B,C),complements_of_subsets(the_carrier(c5),A)). [resolve(2001,e,1556,a)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | -in(C,f386(c16,A,B)) | in(f388(c16,A,B,C),complements_of_subsets(the_carrier(c16),A)). [resolve(2001,e,1592,a)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | -in(C,f386(c36,A,B)) | in(f388(c36,A,B,C),complements_of_subsets(the_carrier(c36),A)). [resolve(2001,e,1625,a)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | -in(C,f386(c37,A,B)) | in(f388(c37,A,B,C),complements_of_subsets(the_carrier(c37),A)). [resolve(2001,e,1628,a)]. 31.51/32.35 2002 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | -element(E,powerset(the_carrier(B))) | E != f388(B,A,C,D) | subset_complement(the_carrier(B),E) = f389(B,A,C,D) | -rel_str(B). [resolve(1048,a,751,b)]. 31.51/32.35 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != f388(rel_str_of(B,C),A,D,E) | subset_complement(the_carrier(rel_str_of(B,C)),F) = f389(rel_str_of(B,C),A,D,E) | -relation_of2(C,B,B). [resolve(2002,g,1554,b)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != f388(poset_of_lattice(B),A,C,D) | subset_complement(the_carrier(poset_of_lattice(B)),E) = f389(poset_of_lattice(B),A,C,D) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2002,g,1555,d)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | -in(C,f386(c5,A,B)) | -element(D,powerset(the_carrier(c5))) | D != f388(c5,A,B,C) | subset_complement(the_carrier(c5),D) = f389(c5,A,B,C). [resolve(2002,g,1556,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | -in(C,f386(c16,A,B)) | -element(D,powerset(the_carrier(c16))) | D != f388(c16,A,B,C) | subset_complement(the_carrier(c16),D) = f389(c16,A,B,C). [resolve(2002,g,1592,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | -in(C,f386(c36,A,B)) | -element(D,powerset(the_carrier(c36))) | D != f388(c36,A,B,C) | subset_complement(the_carrier(c36),D) = f389(c36,A,B,C). [resolve(2002,g,1625,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | -in(C,f386(c37,A,B)) | -element(D,powerset(the_carrier(c37))) | D != f388(c37,A,B,C) | subset_complement(the_carrier(c37),D) = f389(c37,A,B,C). [resolve(2002,g,1628,a)]. 31.51/32.39 2003 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | ordered_pair(f388(B,A,C,D),f389(B,A,C,D)) = D | -rel_str(B). [resolve(1049,a,751,b)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | ordered_pair(f388(rel_str_of(B,C),A,D,E),f389(rel_str_of(B,C),A,D,E)) = E | -relation_of2(C,B,B). [resolve(2003,e,1554,b)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | ordered_pair(f388(poset_of_lattice(B),A,C,D),f389(poset_of_lattice(B),A,C,D)) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2003,e,1555,d)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | -in(C,f386(c5,A,B)) | ordered_pair(f388(c5,A,B,C),f389(c5,A,B,C)) = C. [resolve(2003,e,1556,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | -in(C,f386(c16,A,B)) | ordered_pair(f388(c16,A,B,C),f389(c16,A,B,C)) = C. [resolve(2003,e,1592,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | -in(C,f386(c36,A,B)) | ordered_pair(f388(c36,A,B,C),f389(c36,A,B,C)) = C. [resolve(2003,e,1625,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | -in(C,f386(c37,A,B)) | ordered_pair(f388(c37,A,B,C),f389(c37,A,B,C)) = C. [resolve(2003,e,1628,a)]. 31.51/32.39 2004 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | f387(B,A,C,D) = D | -rel_str(B). [resolve(1050,a,751,b)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | f387(rel_str_of(B,C),A,D,E) = E | -relation_of2(C,B,B). [resolve(2004,e,1554,b)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | f387(poset_of_lattice(B),A,C,D) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2004,e,1555,d)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | -in(C,f386(c5,A,B)) | f387(c5,A,B,C) = C. [resolve(2004,e,1556,a)]. 31.51/32.39 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | -in(C,f386(c16,A,B)) | f387(c16,A,B,C) = C. [resolve(2004,e,1592,a)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | -in(C,f386(c36,A,B)) | f387(c36,A,B,C) = C. [resolve(2004,e,1625,a)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | -in(C,f386(c37,A,B)) | f387(c37,A,B,C) = C. [resolve(2004,e,1628,a)]. 31.58/32.43 2005 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | -in(D,f386(B,A,C)) | in(f387(B,A,C,D),cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1051,a,751,b)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | -in(E,f386(rel_str_of(B,C),A,D)) | in(f387(rel_str_of(B,C),A,D,E),cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(2005,e,1554,b)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | -in(D,f386(poset_of_lattice(B),A,C)) | in(f387(poset_of_lattice(B),A,C,D),cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2005,e,1555,d)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | -in(C,f386(c5,A,B)) | in(f387(c5,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(2005,e,1556,a)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | -in(C,f386(c16,A,B)) | in(f387(c16,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(2005,e,1592,a)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | -in(C,f386(c36,A,B)) | in(f387(c36,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(2005,e,1625,a)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | -in(C,f386(c37,A,B)) | in(f387(c37,A,B,C),cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(2005,e,1628,a)]. 31.58/32.43 2006 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | element(f390(B,A,C,D,F,E,V6),powerset(the_carrier(B))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1052,a,751,b)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f390(rel_str_of(B,C),A,D,E,V6,F,V7),powerset(the_carrier(rel_str_of(B,C)))) | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(2006,i,1554,b)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f390(poset_of_lattice(B),A,C,D,F,E,V6),powerset(the_carrier(poset_of_lattice(B)))) | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2006,i,1555,d)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | element(f390(c5,A,B,C,E,D,F),powerset(the_carrier(c5))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(2006,i,1556,a)]. 31.58/32.43 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | element(f390(c16,A,B,C,E,D,F),powerset(the_carrier(c16))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(2006,i,1592,a)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | element(f390(c36,A,B,C,E,D,F),powerset(the_carrier(c36))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(2006,i,1625,a)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | element(f390(c37,A,B,C,E,D,F),powerset(the_carrier(c37))) | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(2006,i,1628,a)]. 31.58/32.46 2007 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | f390(B,A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1053,a,751,b)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f390(rel_str_of(B,C),A,D,E,V6,F,V7) = F | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(2007,i,1554,b)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f390(poset_of_lattice(B),A,C,D,F,E,V6) = E | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2007,i,1555,d)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | f390(c5,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(2007,i,1556,a)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | f390(c16,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(2007,i,1592,a)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | f390(c36,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(2007,i,1625,a)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | f390(c37,A,B,C,E,D,F) = D | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(2007,i,1628,a)]. 31.58/32.46 2008 -element(A,powerset(powerset(the_carrier(B)))) | f381(B,A,C) != f380(B,A,C) | in(D,f386(B,A,C)) | -in(E,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f390(B,A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(B),A),C)) | -rel_str(B). [resolve(1054,a,751,b)]. 31.58/32.46 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f381(rel_str_of(B,C),A,D) != f380(rel_str_of(B,C),A,D) | in(E,f386(rel_str_of(B,C),A,D)) | -in(F,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f390(rel_str_of(B,C),A,D,E,V6,F,V7)) != V7 | ordered_pair(F,V7) != E | V6 != E | -in(V6,cartesian_product2(complements_of_subsets(the_carrier(rel_str_of(B,C)),A),D)) | -relation_of2(C,B,B). [resolve(2008,i,1554,b)]. 31.65/32.50 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f381(poset_of_lattice(B),A,C) != f380(poset_of_lattice(B),A,C) | in(D,f386(poset_of_lattice(B),A,C)) | -in(E,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f390(poset_of_lattice(B),A,C,D,F,E,V6)) != V6 | ordered_pair(E,V6) != D | F != D | -in(F,cartesian_product2(complements_of_subsets(the_carrier(poset_of_lattice(B)),A),C)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2008,i,1555,d)]. 31.65/32.50 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f381(c5,A,B) != f380(c5,A,B) | in(C,f386(c5,A,B)) | -in(D,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f390(c5,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c5),A),B)). [resolve(2008,i,1556,a)]. 31.65/32.50 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f381(c16,A,B) != f380(c16,A,B) | in(C,f386(c16,A,B)) | -in(D,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f390(c16,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c16),A),B)). [resolve(2008,i,1592,a)]. 31.65/32.50 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f381(c36,A,B) != f380(c36,A,B) | in(C,f386(c36,A,B)) | -in(D,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f390(c36,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c36),A),B)). [resolve(2008,i,1625,a)]. 31.65/32.50 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f381(c37,A,B) != f380(c37,A,B) | in(C,f386(c37,A,B)) | -in(D,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f390(c37,A,B,C,E,D,F)) != F | ordered_pair(D,F) != C | E != C | -in(E,cartesian_product2(complements_of_subsets(the_carrier(c37),A),B)). [resolve(2008,i,1628,a)]. 31.65/32.50 2009 quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(1055,a,751,b)]. 31.65/32.50 Derived: quasi_total(identity_on_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(2009,b,1554,b)]. 31.65/32.50 Derived: quasi_total(identity_on_carrier(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(2009,b,1555,d)]. 31.65/32.50 Derived: quasi_total(identity_on_carrier(c5),the_carrier(c5),the_carrier(c5)). [resolve(2009,b,1556,a)]. 31.65/32.50 Derived: quasi_total(identity_on_carrier(c16),the_carrier(c16),the_carrier(c16)). [resolve(2009,b,1592,a)]. 31.65/32.50 Derived: quasi_total(identity_on_carrier(c36),the_carrier(c36),the_carrier(c36)). [resolve(2009,b,1625,a)]. 31.65/32.50 Derived: quasi_total(identity_on_carrier(c37),the_carrier(c37),the_carrier(c37)). [resolve(2009,b,1628,a)]. 31.65/32.50 2010 relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(1056,a,751,b)]. 31.65/32.50 Derived: relation_of2_as_subset(identity_on_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B)),the_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(2010,b,1554,b)]. 31.65/32.50 Derived: relation_of2_as_subset(identity_on_carrier(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(2010,b,1555,d)]. 31.65/32.50 Derived: relation_of2_as_subset(identity_on_carrier(c5),the_carrier(c5),the_carrier(c5)). [resolve(2010,b,1556,a)]. 31.65/32.50 Derived: relation_of2_as_subset(identity_on_carrier(c16),the_carrier(c16),the_carrier(c16)). [resolve(2010,b,1592,a)]. 31.65/32.50 Derived: relation_of2_as_subset(identity_on_carrier(c36),the_carrier(c36),the_carrier(c36)). [resolve(2010,b,1625,a)]. 31.65/32.50 Derived: relation_of2_as_subset(identity_on_carrier(c37),the_carrier(c37),the_carrier(c37)). [resolve(2010,b,1628,a)]. 31.65/32.53 2011 function(identity_on_carrier(A)) | -rel_str(A). [resolve(1057,a,751,b)]. 31.65/32.53 Derived: function(identity_on_carrier(rel_str_of(A,B))) | -relation_of2(B,A,A). [resolve(2011,b,1554,b)]. 31.65/32.53 Derived: function(identity_on_carrier(poset_of_lattice(A))) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(2011,b,1555,d)]. 31.65/32.53 Derived: function(identity_on_carrier(c5)). [resolve(2011,b,1556,a)]. 31.65/32.53 Derived: function(identity_on_carrier(c16)). [resolve(2011,b,1592,a)]. 31.65/32.53 Derived: function(identity_on_carrier(c36)). [resolve(2011,b,1625,a)]. 31.65/32.53 Derived: function(identity_on_carrier(c37)). [resolve(2011,b,1628,a)]. 31.65/32.53 2012 -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(1058,a,751,b)]. 31.65/32.53 Derived: -element(A,powerset(the_carrier(rel_str_of(B,C)))) | subset_difference(the_carrier(rel_str_of(B,C)),cast_as_carrier_subset(rel_str_of(B,C)),subset_difference(the_carrier(rel_str_of(B,C)),cast_as_carrier_subset(rel_str_of(B,C)),A)) = A | -relation_of2(C,B,B). [resolve(2012,c,1554,b)]. 31.65/32.53 Derived: -element(A,powerset(the_carrier(poset_of_lattice(B)))) | subset_difference(the_carrier(poset_of_lattice(B)),cast_as_carrier_subset(poset_of_lattice(B)),subset_difference(the_carrier(poset_of_lattice(B)),cast_as_carrier_subset(poset_of_lattice(B)),A)) = A | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2012,c,1555,d)]. 31.65/32.53 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(2012,c,1556,a)]. 31.65/32.53 Derived: -element(A,powerset(the_carrier(c16))) | subset_difference(the_carrier(c16),cast_as_carrier_subset(c16),subset_difference(the_carrier(c16),cast_as_carrier_subset(c16),A)) = A. [resolve(2012,c,1592,a)]. 31.65/32.53 Derived: -element(A,powerset(the_carrier(c36))) | subset_difference(the_carrier(c36),cast_as_carrier_subset(c36),subset_difference(the_carrier(c36),cast_as_carrier_subset(c36),A)) = A. [resolve(2012,c,1625,a)]. 31.65/32.53 Derived: -element(A,powerset(the_carrier(c37))) | subset_difference(the_carrier(c37),cast_as_carrier_subset(c37),subset_difference(the_carrier(c37),cast_as_carrier_subset(c37),A)) = A. [resolve(2012,c,1628,a)]. 31.65/32.53 2013 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1059,a,751,b)]. 31.65/32.53 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(2013,e,1554,b)]. 31.65/32.53 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2013,e,1555,d)]. 31.65/32.53 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(ordered_pair(B,C),f402(c5,A)) | in(B,complements_of_subsets(the_carrier(c5),A)). [resolve(2013,e,1556,a)]. 31.65/32.53 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | -in(ordered_pair(B,C),f402(c16,A)) | in(B,complements_of_subsets(the_carrier(c16),A)). [resolve(2013,e,1592,a)]. 31.65/32.53 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | -in(ordered_pair(B,C),f402(c36,A)) | in(B,complements_of_subsets(the_carrier(c36),A)). [resolve(2013,e,1625,a)]. 31.65/32.53 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | -in(ordered_pair(B,C),f402(c37,A)) | in(B,complements_of_subsets(the_carrier(c37),A)). [resolve(2013,e,1628,a)]. 31.65/32.57 2014 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(1060,a,751,b)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != D | subset_complement(the_carrier(rel_str_of(B,C)),F) = E | -relation_of2(C,B,B). [resolve(2014,g,1554,b)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != C | subset_complement(the_carrier(poset_of_lattice(B)),E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2014,g,1555,d)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | -in(ordered_pair(B,C),f402(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(2014,g,1556,a)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | -in(ordered_pair(B,C),f402(c16,A)) | -element(D,powerset(the_carrier(c16))) | D != B | subset_complement(the_carrier(c16),D) = C. [resolve(2014,g,1592,a)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | -in(ordered_pair(B,C),f402(c36,A)) | -element(D,powerset(the_carrier(c36))) | D != B | subset_complement(the_carrier(c36),D) = C. [resolve(2014,g,1625,a)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | -in(ordered_pair(B,C),f402(c37,A)) | -element(D,powerset(the_carrier(c37))) | D != B | subset_complement(the_carrier(c37),D) = C. [resolve(2014,g,1628,a)]. 31.65/32.57 2015 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(1061,a,751,b)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f403(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(2015,f,1554,b)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f403(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2015,f,1555,d)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(ordered_pair(B,C),f402(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | element(f403(c5,A,B,C),powerset(the_carrier(c5))). [resolve(2015,f,1556,a)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(ordered_pair(B,C),f402(c16,A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | element(f403(c16,A,B,C),powerset(the_carrier(c16))). [resolve(2015,f,1592,a)]. 31.65/32.57 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(ordered_pair(B,C),f402(c36,A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | element(f403(c36,A,B,C),powerset(the_carrier(c36))). [resolve(2015,f,1625,a)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(ordered_pair(B,C),f402(c37,A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | element(f403(c37,A,B,C),powerset(the_carrier(c37))). [resolve(2015,f,1628,a)]. 31.77/32.60 2016 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -rel_str(B). [resolve(1062,a,751,b)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f403(rel_str_of(B,C),A,D,E) = D | -relation_of2(C,B,B). [resolve(2016,f,1554,b)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f403(poset_of_lattice(B),A,C,D) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2016,f,1555,d)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(ordered_pair(B,C),f402(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | f403(c5,A,B,C) = B. [resolve(2016,f,1556,a)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(ordered_pair(B,C),f402(c16,A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | f403(c16,A,B,C) = B. [resolve(2016,f,1592,a)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(ordered_pair(B,C),f402(c36,A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | f403(c36,A,B,C) = B. [resolve(2016,f,1625,a)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(ordered_pair(B,C),f402(c37,A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | f403(c37,A,B,C) = B. [resolve(2016,f,1628,a)]. 31.77/32.60 2017 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -rel_str(B). [resolve(1063,a,751,b)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f403(rel_str_of(B,C),A,D,E)) != E | -relation_of2(C,B,B). [resolve(2017,f,1554,b)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f403(poset_of_lattice(B),A,C,D)) != D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2017,f,1555,d)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | in(ordered_pair(B,C),f402(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f403(c5,A,B,C)) != C. [resolve(2017,f,1556,a)]. 31.77/32.60 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | in(ordered_pair(B,C),f402(c16,A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f403(c16,A,B,C)) != C. [resolve(2017,f,1592,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | in(ordered_pair(B,C),f402(c36,A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f403(c36,A,B,C)) != C. [resolve(2017,f,1625,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | in(ordered_pair(B,C),f402(c37,A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f403(c37,A,B,C)) != C. [resolve(2017,f,1628,a)]. 31.79/32.65 2018 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | function(f402(B,A)) | -rel_str(B). [resolve(1064,a,751,b)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | function(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2018,d,1554,b)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | function(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2018,d,1555,d)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | function(f402(c5,A)). [resolve(2018,d,1556,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | function(f402(c16,A)). [resolve(2018,d,1592,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | function(f402(c36,A)). [resolve(2018,d,1625,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | function(f402(c37,A)). [resolve(2018,d,1628,a)]. 31.79/32.65 2019 -element(A,powerset(powerset(the_carrier(B)))) | in(f399(B,A),complements_of_subsets(the_carrier(B),A)) | relation(f402(B,A)) | -rel_str(B). [resolve(1065,a,751,b)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | in(f399(rel_str_of(B,C),A),complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | relation(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2019,d,1554,b)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | in(f399(poset_of_lattice(B),A),complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | relation(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2019,d,1555,d)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | in(f399(c5,A),complements_of_subsets(the_carrier(c5),A)) | relation(f402(c5,A)). [resolve(2019,d,1556,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | in(f399(c16,A),complements_of_subsets(the_carrier(c16),A)) | relation(f402(c16,A)). [resolve(2019,d,1592,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | in(f399(c36,A),complements_of_subsets(the_carrier(c36),A)) | relation(f402(c36,A)). [resolve(2019,d,1625,a)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | in(f399(c37,A),complements_of_subsets(the_carrier(c37),A)) | relation(f402(c37,A)). [resolve(2019,d,1628,a)]. 31.79/32.65 2020 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1066,a,751,b)]. 31.79/32.65 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(2020,g,1554,b)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2020,g,1555,d)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | -in(ordered_pair(C,D),f402(c5,A)) | in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(2020,g,1556,a)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | -in(ordered_pair(C,D),f402(c16,A)) | in(C,complements_of_subsets(the_carrier(c16),A)). [resolve(2020,g,1592,a)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | -in(ordered_pair(C,D),f402(c36,A)) | in(C,complements_of_subsets(the_carrier(c36),A)). [resolve(2020,g,1625,a)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | -in(ordered_pair(C,D),f402(c37,A)) | in(C,complements_of_subsets(the_carrier(c37),A)). [resolve(2020,g,1628,a)]. 31.79/32.68 2021 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(1067,a,751,b)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != E | subset_complement(the_carrier(rel_str_of(B,C)),V6) = F | -relation_of2(C,B,B). [resolve(2021,i,1554,b)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != D | subset_complement(the_carrier(poset_of_lattice(B)),F) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2021,i,1555,d)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | -in(ordered_pair(C,D),f402(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(2021,i,1556,a)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | -in(ordered_pair(C,D),f402(c16,A)) | -element(E,powerset(the_carrier(c16))) | E != C | subset_complement(the_carrier(c16),E) = D. [resolve(2021,i,1592,a)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | -in(ordered_pair(C,D),f402(c36,A)) | -element(E,powerset(the_carrier(c36))) | E != C | subset_complement(the_carrier(c36),E) = D. [resolve(2021,i,1625,a)]. 31.79/32.68 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | -in(ordered_pair(C,D),f402(c37,A)) | -element(E,powerset(the_carrier(c37))) | E != C | subset_complement(the_carrier(c37),E) = D. [resolve(2021,i,1628,a)]. 31.88/32.72 2022 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(1068,a,751,b)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f403(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(2022,h,1554,b)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f403(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2022,h,1555,d)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | in(ordered_pair(C,D),f402(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | element(f403(c5,A,C,D),powerset(the_carrier(c5))). [resolve(2022,h,1556,a)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | in(ordered_pair(C,D),f402(c16,A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | element(f403(c16,A,C,D),powerset(the_carrier(c16))). [resolve(2022,h,1592,a)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | in(ordered_pair(C,D),f402(c36,A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | element(f403(c36,A,C,D),powerset(the_carrier(c36))). [resolve(2022,h,1625,a)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | in(ordered_pair(C,D),f402(c37,A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | element(f403(c37,A,C,D),powerset(the_carrier(c37))). [resolve(2022,h,1628,a)]. 31.88/32.72 2023 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -rel_str(B). [resolve(1069,a,751,b)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f403(rel_str_of(B,C),A,E,F) = E | -relation_of2(C,B,B). [resolve(2023,h,1554,b)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f403(poset_of_lattice(B),A,D,E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2023,h,1555,d)]. 31.88/32.72 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | in(ordered_pair(C,D),f402(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | f403(c5,A,C,D) = C. [resolve(2023,h,1556,a)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | in(ordered_pair(C,D),f402(c16,A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | f403(c16,A,C,D) = C. [resolve(2023,h,1592,a)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | in(ordered_pair(C,D),f402(c36,A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | f403(c36,A,C,D) = C. [resolve(2023,h,1625,a)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | in(ordered_pair(C,D),f402(c37,A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | f403(c37,A,C,D) = C. [resolve(2023,h,1628,a)]. 31.88/32.76 2024 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -rel_str(B). [resolve(1070,a,751,b)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f403(rel_str_of(B,C),A,E,F)) != F | -relation_of2(C,B,B). [resolve(2024,h,1554,b)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f403(poset_of_lattice(B),A,D,E)) != E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2024,h,1555,d)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | in(ordered_pair(C,D),f402(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f403(c5,A,C,D)) != D. [resolve(2024,h,1556,a)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | in(ordered_pair(C,D),f402(c16,A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f403(c16,A,C,D)) != D. [resolve(2024,h,1592,a)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | in(ordered_pair(C,D),f402(c36,A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f403(c36,A,C,D)) != D. [resolve(2024,h,1625,a)]. 31.88/32.76 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | in(ordered_pair(C,D),f402(c37,A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f403(c37,A,C,D)) != D. [resolve(2024,h,1628,a)]. 31.88/32.76 2025 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | function(f402(B,A)) | -rel_str(B). [resolve(1071,a,751,b)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | function(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2025,f,1554,b)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | function(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2025,f,1555,d)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | function(f402(c5,A)). [resolve(2025,f,1556,a)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | function(f402(c16,A)). [resolve(2025,f,1592,a)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | function(f402(c36,A)). [resolve(2025,f,1625,a)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | function(f402(c37,A)). [resolve(2025,f,1628,a)]. 31.96/32.80 2026 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f401(B,A) | relation(f402(B,A)) | -rel_str(B). [resolve(1072,a,751,b)]. 31.96/32.80 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f401(rel_str_of(B,C),A) | relation(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2026,f,1554,b)]. 31.96/32.81 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f401(poset_of_lattice(B),A) | relation(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2026,f,1555,d)]. 31.96/32.81 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f401(c5,A) | relation(f402(c5,A)). [resolve(2026,f,1556,a)]. 31.96/32.81 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f401(c16,A) | relation(f402(c16,A)). [resolve(2026,f,1592,a)]. 31.96/32.81 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f401(c36,A) | relation(f402(c36,A)). [resolve(2026,f,1625,a)]. 31.96/32.81 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f401(c37,A) | relation(f402(c37,A)). [resolve(2026,f,1628,a)]. 31.96/32.81 2027 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | in(D,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1073,a,751,b)]. 31.96/32.81 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(2027,g,1554,b)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2027,g,1555,d)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | -in(ordered_pair(C,D),f402(c5,A)) | in(C,complements_of_subsets(the_carrier(c5),A)). [resolve(2027,g,1556,a)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | -in(ordered_pair(C,D),f402(c16,A)) | in(C,complements_of_subsets(the_carrier(c16),A)). [resolve(2027,g,1592,a)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | -in(ordered_pair(C,D),f402(c36,A)) | in(C,complements_of_subsets(the_carrier(c36),A)). [resolve(2027,g,1625,a)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | -in(ordered_pair(C,D),f402(c37,A)) | in(C,complements_of_subsets(the_carrier(c37),A)). [resolve(2027,g,1628,a)]. 31.96/32.84 2028 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | -in(ordered_pair(D,E),f402(B,A)) | -element(F,powerset(the_carrier(B))) | F != D | subset_complement(the_carrier(B),F) = E | -rel_str(B). [resolve(1074,a,751,b)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | -in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -element(V6,powerset(the_carrier(rel_str_of(B,C)))) | V6 != E | subset_complement(the_carrier(rel_str_of(B,C)),V6) = F | -relation_of2(C,B,B). [resolve(2028,i,1554,b)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | -in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -element(F,powerset(the_carrier(poset_of_lattice(B)))) | F != D | subset_complement(the_carrier(poset_of_lattice(B)),F) = E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2028,i,1555,d)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | -in(ordered_pair(C,D),f402(c5,A)) | -element(E,powerset(the_carrier(c5))) | E != C | subset_complement(the_carrier(c5),E) = D. [resolve(2028,i,1556,a)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | -in(ordered_pair(C,D),f402(c16,A)) | -element(E,powerset(the_carrier(c16))) | E != C | subset_complement(the_carrier(c16),E) = D. [resolve(2028,i,1592,a)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | -in(ordered_pair(C,D),f402(c36,A)) | -element(E,powerset(the_carrier(c36))) | E != C | subset_complement(the_carrier(c36),E) = D. [resolve(2028,i,1625,a)]. 31.96/32.84 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | -in(ordered_pair(C,D),f402(c37,A)) | -element(E,powerset(the_carrier(c37))) | E != C | subset_complement(the_carrier(c37),E) = D. [resolve(2028,i,1628,a)]. 32.05/32.88 2029 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,D,E),powerset(the_carrier(B))) | -rel_str(B). [resolve(1075,a,751,b)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f403(rel_str_of(B,C),A,E,F),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(2029,h,1554,b)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f403(poset_of_lattice(B),A,D,E),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2029,h,1555,d)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | in(ordered_pair(C,D),f402(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | element(f403(c5,A,C,D),powerset(the_carrier(c5))). [resolve(2029,h,1556,a)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | in(ordered_pair(C,D),f402(c16,A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | element(f403(c16,A,C,D),powerset(the_carrier(c16))). [resolve(2029,h,1592,a)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | in(ordered_pair(C,D),f402(c36,A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | element(f403(c36,A,C,D),powerset(the_carrier(c36))). [resolve(2029,h,1625,a)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | in(ordered_pair(C,D),f402(c37,A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | element(f403(c37,A,C,D),powerset(the_carrier(c37))). [resolve(2029,h,1628,a)]. 32.05/32.88 2030 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | f403(B,A,D,E) = D | -rel_str(B). [resolve(1076,a,751,b)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f403(rel_str_of(B,C),A,E,F) = E | -relation_of2(C,B,B). [resolve(2030,h,1554,b)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f403(poset_of_lattice(B),A,D,E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2030,h,1555,d)]. 32.05/32.88 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | in(ordered_pair(C,D),f402(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | f403(c5,A,C,D) = C. [resolve(2030,h,1556,a)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | in(ordered_pair(C,D),f402(c16,A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | f403(c16,A,C,D) = C. [resolve(2030,h,1592,a)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | in(ordered_pair(C,D),f402(c36,A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | f403(c36,A,C,D) = C. [resolve(2030,h,1625,a)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | in(ordered_pair(C,D),f402(c37,A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | f403(c37,A,C,D) = C. [resolve(2030,h,1628,a)]. 32.09/32.92 2031 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | in(ordered_pair(D,E),f402(B,A)) | -in(D,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,D,E)) != E | -rel_str(B). [resolve(1077,a,751,b)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | in(ordered_pair(E,F),f402(rel_str_of(B,C),A)) | -in(E,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f403(rel_str_of(B,C),A,E,F)) != F | -relation_of2(C,B,B). [resolve(2031,h,1554,b)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | in(ordered_pair(D,E),f402(poset_of_lattice(B),A)) | -in(D,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f403(poset_of_lattice(B),A,D,E)) != E | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2031,h,1555,d)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | in(ordered_pair(C,D),f402(c5,A)) | -in(C,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f403(c5,A,C,D)) != D. [resolve(2031,h,1556,a)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | in(ordered_pair(C,D),f402(c16,A)) | -in(C,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f403(c16,A,C,D)) != D. [resolve(2031,h,1592,a)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | in(ordered_pair(C,D),f402(c36,A)) | -in(C,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f403(c36,A,C,D)) != D. [resolve(2031,h,1625,a)]. 32.09/32.92 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | in(ordered_pair(C,D),f402(c37,A)) | -in(C,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f403(c37,A,C,D)) != D. [resolve(2031,h,1628,a)]. 32.09/32.92 2032 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | function(f402(B,A)) | -rel_str(B). [resolve(1078,a,751,b)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | function(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2032,f,1554,b)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | function(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2032,f,1555,d)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | function(f402(c5,A)). [resolve(2032,f,1556,a)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | function(f402(c16,A)). [resolve(2032,f,1592,a)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | function(f402(c36,A)). [resolve(2032,f,1625,a)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | function(f402(c37,A)). [resolve(2032,f,1628,a)]. 32.11/32.96 2033 -element(A,powerset(powerset(the_carrier(B)))) | -element(C,powerset(the_carrier(B))) | C != f399(B,A) | subset_complement(the_carrier(B),C) = f400(B,A) | relation(f402(B,A)) | -rel_str(B). [resolve(1079,a,751,b)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | -element(D,powerset(the_carrier(rel_str_of(B,C)))) | D != f399(rel_str_of(B,C),A) | subset_complement(the_carrier(rel_str_of(B,C)),D) = f400(rel_str_of(B,C),A) | relation(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2033,f,1554,b)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | -element(C,powerset(the_carrier(poset_of_lattice(B)))) | C != f399(poset_of_lattice(B),A) | subset_complement(the_carrier(poset_of_lattice(B)),C) = f400(poset_of_lattice(B),A) | relation(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2033,f,1555,d)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | -element(B,powerset(the_carrier(c5))) | B != f399(c5,A) | subset_complement(the_carrier(c5),B) = f400(c5,A) | relation(f402(c5,A)). [resolve(2033,f,1556,a)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | -element(B,powerset(the_carrier(c16))) | B != f399(c16,A) | subset_complement(the_carrier(c16),B) = f400(c16,A) | relation(f402(c16,A)). [resolve(2033,f,1592,a)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | -element(B,powerset(the_carrier(c36))) | B != f399(c36,A) | subset_complement(the_carrier(c36),B) = f400(c36,A) | relation(f402(c36,A)). [resolve(2033,f,1625,a)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | -element(B,powerset(the_carrier(c37))) | B != f399(c37,A) | subset_complement(the_carrier(c37),B) = f400(c37,A) | relation(f402(c37,A)). [resolve(2033,f,1628,a)]. 32.11/32.96 2034 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | in(C,complements_of_subsets(the_carrier(B),A)) | -rel_str(B). [resolve(1080,a,751,b)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | -in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | -relation_of2(C,B,B). [resolve(2034,e,1554,b)]. 32.11/32.96 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | -in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2034,e,1555,d)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | -in(ordered_pair(B,C),f402(c5,A)) | in(B,complements_of_subsets(the_carrier(c5),A)). [resolve(2034,e,1556,a)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | -in(ordered_pair(B,C),f402(c16,A)) | in(B,complements_of_subsets(the_carrier(c16),A)). [resolve(2034,e,1592,a)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | -in(ordered_pair(B,C),f402(c36,A)) | in(B,complements_of_subsets(the_carrier(c36),A)). [resolve(2034,e,1625,a)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | -in(ordered_pair(B,C),f402(c37,A)) | in(B,complements_of_subsets(the_carrier(c37),A)). [resolve(2034,e,1628,a)]. 32.11/33.00 2035 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | -in(ordered_pair(C,D),f402(B,A)) | -element(E,powerset(the_carrier(B))) | E != C | subset_complement(the_carrier(B),E) = D | -rel_str(B). [resolve(1081,a,751,b)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | -in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -element(F,powerset(the_carrier(rel_str_of(B,C)))) | F != D | subset_complement(the_carrier(rel_str_of(B,C)),F) = E | -relation_of2(C,B,B). [resolve(2035,g,1554,b)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | -in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -element(E,powerset(the_carrier(poset_of_lattice(B)))) | E != C | subset_complement(the_carrier(poset_of_lattice(B)),E) = D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2035,g,1555,d)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | -in(ordered_pair(B,C),f402(c5,A)) | -element(D,powerset(the_carrier(c5))) | D != B | subset_complement(the_carrier(c5),D) = C. [resolve(2035,g,1556,a)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | -in(ordered_pair(B,C),f402(c16,A)) | -element(D,powerset(the_carrier(c16))) | D != B | subset_complement(the_carrier(c16),D) = C. [resolve(2035,g,1592,a)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | -in(ordered_pair(B,C),f402(c36,A)) | -element(D,powerset(the_carrier(c36))) | D != B | subset_complement(the_carrier(c36),D) = C. [resolve(2035,g,1625,a)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | -in(ordered_pair(B,C),f402(c37,A)) | -element(D,powerset(the_carrier(c37))) | D != B | subset_complement(the_carrier(c37),D) = C. [resolve(2035,g,1628,a)]. 32.11/33.00 2036 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | element(f403(B,A,C,D),powerset(the_carrier(B))) | -rel_str(B). [resolve(1082,a,751,b)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | element(f403(rel_str_of(B,C),A,D,E),powerset(the_carrier(rel_str_of(B,C)))) | -relation_of2(C,B,B). [resolve(2036,f,1554,b)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | element(f403(poset_of_lattice(B),A,C,D),powerset(the_carrier(poset_of_lattice(B)))) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2036,f,1555,d)]. 32.11/33.00 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | in(ordered_pair(B,C),f402(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | element(f403(c5,A,B,C),powerset(the_carrier(c5))). [resolve(2036,f,1556,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | in(ordered_pair(B,C),f402(c16,A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | element(f403(c16,A,B,C),powerset(the_carrier(c16))). [resolve(2036,f,1592,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | in(ordered_pair(B,C),f402(c36,A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | element(f403(c36,A,B,C),powerset(the_carrier(c36))). [resolve(2036,f,1625,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | in(ordered_pair(B,C),f402(c37,A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | element(f403(c37,A,B,C),powerset(the_carrier(c37))). [resolve(2036,f,1628,a)]. 32.20/33.04 2037 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | f403(B,A,C,D) = C | -rel_str(B). [resolve(1083,a,751,b)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | f403(rel_str_of(B,C),A,D,E) = D | -relation_of2(C,B,B). [resolve(2037,f,1554,b)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | f403(poset_of_lattice(B),A,C,D) = C | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2037,f,1555,d)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | in(ordered_pair(B,C),f402(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | f403(c5,A,B,C) = B. [resolve(2037,f,1556,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | in(ordered_pair(B,C),f402(c16,A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | f403(c16,A,B,C) = B. [resolve(2037,f,1592,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | in(ordered_pair(B,C),f402(c36,A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | f403(c36,A,B,C) = B. [resolve(2037,f,1625,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | in(ordered_pair(B,C),f402(c37,A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | f403(c37,A,B,C) = B. [resolve(2037,f,1628,a)]. 32.20/33.04 2038 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | in(ordered_pair(C,D),f402(B,A)) | -in(C,complements_of_subsets(the_carrier(B),A)) | subset_complement(the_carrier(B),f403(B,A,C,D)) != D | -rel_str(B). [resolve(1084,a,751,b)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | in(ordered_pair(D,E),f402(rel_str_of(B,C),A)) | -in(D,complements_of_subsets(the_carrier(rel_str_of(B,C)),A)) | subset_complement(the_carrier(rel_str_of(B,C)),f403(rel_str_of(B,C),A,D,E)) != E | -relation_of2(C,B,B). [resolve(2038,f,1554,b)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | in(ordered_pair(C,D),f402(poset_of_lattice(B),A)) | -in(C,complements_of_subsets(the_carrier(poset_of_lattice(B)),A)) | subset_complement(the_carrier(poset_of_lattice(B)),f403(poset_of_lattice(B),A,C,D)) != D | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2038,f,1555,d)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | in(ordered_pair(B,C),f402(c5,A)) | -in(B,complements_of_subsets(the_carrier(c5),A)) | subset_complement(the_carrier(c5),f403(c5,A,B,C)) != C. [resolve(2038,f,1556,a)]. 32.20/33.04 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | in(ordered_pair(B,C),f402(c16,A)) | -in(B,complements_of_subsets(the_carrier(c16),A)) | subset_complement(the_carrier(c16),f403(c16,A,B,C)) != C. [resolve(2038,f,1592,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | in(ordered_pair(B,C),f402(c36,A)) | -in(B,complements_of_subsets(the_carrier(c36),A)) | subset_complement(the_carrier(c36),f403(c36,A,B,C)) != C. [resolve(2038,f,1625,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | in(ordered_pair(B,C),f402(c37,A)) | -in(B,complements_of_subsets(the_carrier(c37),A)) | subset_complement(the_carrier(c37),f403(c37,A,B,C)) != C. [resolve(2038,f,1628,a)]. 47.51/48.43 2039 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | function(f402(B,A)) | -rel_str(B). [resolve(1085,a,751,b)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | function(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2039,d,1554,b)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | function(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2039,d,1555,d)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | function(f402(c5,A)). [resolve(2039,d,1556,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | function(f402(c16,A)). [resolve(2039,d,1592,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | function(f402(c36,A)). [resolve(2039,d,1625,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | function(f402(c37,A)). [resolve(2039,d,1628,a)]. 47.51/48.43 2040 -element(A,powerset(powerset(the_carrier(B)))) | f401(B,A) != f400(B,A) | relation(f402(B,A)) | -rel_str(B). [resolve(1086,a,751,b)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(rel_str_of(B,C))))) | f401(rel_str_of(B,C),A) != f400(rel_str_of(B,C),A) | relation(f402(rel_str_of(B,C),A)) | -relation_of2(C,B,B). [resolve(2040,d,1554,b)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(poset_of_lattice(B))))) | f401(poset_of_lattice(B),A) != f400(poset_of_lattice(B),A) | relation(f402(poset_of_lattice(B),A)) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2040,d,1555,d)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c5)))) | f401(c5,A) != f400(c5,A) | relation(f402(c5,A)). [resolve(2040,d,1556,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c16)))) | f401(c16,A) != f400(c16,A) | relation(f402(c16,A)). [resolve(2040,d,1592,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c36)))) | f401(c36,A) != f400(c36,A) | relation(f402(c36,A)). [resolve(2040,d,1625,a)]. 47.51/48.43 Derived: -element(A,powerset(powerset(the_carrier(c37)))) | f401(c37,A) != f400(c37,A) | relation(f402(c37,A)). [resolve(2040,d,1628,a)]. 47.51/48.43 2041 -are_equipotent(A,B) | equipotent(A,B) # label(redefinition_r2_wellord2) # label(axiom). [clausify(53)]. 47.51/48.43 2042 -subset(A,f9(B)) | are_equipotent(A,f9(B)) | in(A,f9(B)) # label(t136_zfmisc_1) # label(lemma). [clausify(26)]. 47.51/48.43 Derived: equipotent(A,f9(B)) | -subset(A,f9(B)) | in(A,f9(B)). [resolve(2041,a,2042,b)]. 47.51/48.43 2043 are_equipotent(A,B) | -equipotent(A,B) # label(redefinition_r2_wellord2) # label(axiom). [clausify(53)]. 47.51/48.43 2044 -subset(A,f74(B)) | are_equipotent(A,f74(B)) | in(A,f74(B)) # label(t9_tarski) # label(axiom). [clausify(145)]. 47.51/48.43 Derived: -subset(A,f74(B)) | in(A,f74(B)) | equipotent(A,f74(B)). [resolve(2044,b,2041,a)]. 47.51/48.43 2045 bijective(f23(A),A,A) # label(rc2_funct_2) # label(axiom). [clausify(66)]. 47.51/48.43 2046 -relation_of2(A,B,C) | -function(A) | -bijective(A,B,C) | -quasi_total(A,B,C) | one_to_one(A) # label(cc2_funct_2) # label(axiom). [clausify(39)]. 47.51/48.43 2047 -relation_of2(A,B,C) | -function(A) | -bijective(A,B,C) | -quasi_total(A,B,C) | onto(A,B,C) # label(cc2_funct_2) # label(axiom). [clausify(39)]. 47.51/48.43 Derived: -relation_of2(f23(A),A,A) | -function(f23(A)) | -quasi_total(f23(A),A,A) | one_to_one(f23(A)). [resolve(2045,a,2046,c)]. 77.40/78.23 2048 -relation_of2(A,B,B) | -function(A) | -quasi_total(A,B,B) | -reflexive(A) | -v1_partfun1(A,B,B) | bijective(A,B,B) # label(cc4_funct_2) # label(axiom). [clausify(366)]. 77.40/78.23 Derived: -relation_of2(A,B,B) | -function(A) | -quasi_total(A,B,B) | -reflexive(A) | -v1_partfun1(A,B,B) | -relation_of2(A,B,B) | -function(A) | -quasi_total(A,B,B) | onto(A,B,B). [resolve(2048,f,2047,c)]. 77.40/78.23 2049 -relation_of2(A,B,C) | -function(A) | -one_to_one(A) | -onto(A,B,C) | -quasi_total(A,B,C) | bijective(A,B,C) # label(cc3_funct_2) # label(axiom). [clausify(440)]. 77.40/78.23 2050 -preboolean(A) | diff_closed(A) # label(cc1_finsub_1) # label(axiom). [clausify(123)]. 77.40/78.23 2051 -diff_closed(A) | -cup_closed(A) | preboolean(A) # label(cc2_finsub_1) # label(axiom). [clausify(52)]. 77.40/78.23 2052 diff_closed(powerset(A)) # label(fc1_finsub_1) # label(axiom). [clausify(442)]. 77.40/78.23 Derived: -cup_closed(powerset(A)) | preboolean(powerset(A)). [resolve(2052,a,2051,a)]. 77.40/78.23 2053 -strict_latt_str(A) | -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(261)]. 77.40/78.23 2054 strict_latt_str(c4) # label(rc9_lattices) # label(axiom). [clausify(67)]. 77.40/78.23 2055 strict_latt_str(boole_lattice(A)) # label(dt_k1_lattice3) # label(axiom). [clausify(83)]. 77.40/78.23 2056 strict_latt_str(boole_lattice(A)) # label(fc2_lattice3) # label(axiom). [clausify(117)]. 77.40/78.23 2057 strict_latt_str(c8) # label(rc6_lattices) # label(axiom). [clausify(179)]. 77.40/78.23 2058 -quasi_total(A,cartesian_product2(B,B),B) | -relation_of2(C,cartesian_product2(B,B),B) | -quasi_total(C,cartesian_product2(B,B),B) | -function(C) | -relation_of2(A,cartesian_product2(B,B),B) | -function(A) | strict_latt_str(latt_str_of(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(213)]. 77.40/78.23 Derived: -latt_str(c4) | boole_lattice(A) != c4 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_join(c4),B,C) = subset_union2(A,B,C). [resolve(2053,a,2054,a)]. 77.40/78.23 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(2053,a,2055,a)]. 77.40/78.23 Derived: -latt_str(c8) | boole_lattice(A) != c8 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_join(c8),B,C) = subset_union2(A,B,C). [resolve(2053,a,2057,a)]. 77.40/78.23 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) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2053,a,2058,g)]. 77.40/78.23 2059 -strict_latt_str(A) | -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(261)]. 77.40/78.23 Derived: -latt_str(c4) | boole_lattice(A) != c4 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_meet(c4),B,C) = subset_intersection2(A,B,C). [resolve(2059,a,2054,a)]. 77.40/78.23 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(2059,a,2055,a)]. 77.40/78.23 Derived: -latt_str(c8) | boole_lattice(A) != c8 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_meet(c8),B,C) = subset_intersection2(A,B,C). [resolve(2059,a,2057,a)]. 77.40/78.23 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) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2059,a,2058,g)]. 77.40/78.28 2060 -strict_latt_str(A) | -latt_str(A) | boole_lattice(B) != A | powerset(B) = the_carrier(A) # label(d1_lattice3) # label(axiom). [clausify(261)]. 77.40/78.28 Derived: -latt_str(c4) | boole_lattice(A) != c4 | powerset(A) = the_carrier(c4). [resolve(2060,a,2054,a)]. 77.40/78.28 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) != boole_lattice(A) | powerset(B) = the_carrier(boole_lattice(A)). [resolve(2060,a,2055,a)]. 77.40/78.28 Derived: -latt_str(c8) | boole_lattice(A) != c8 | powerset(A) = the_carrier(c8). [resolve(2060,a,2057,a)]. 77.40/78.28 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)) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2060,a,2058,g)]. 77.40/78.28 2061 -strict_latt_str(A) | -latt_str(A) | boole_lattice(B) = A | element(f151(B,A),powerset(B)) | powerset(B) != the_carrier(A) # label(d1_lattice3) # label(axiom). [clausify(261)]. 77.40/78.28 Derived: -latt_str(c4) | boole_lattice(A) = c4 | element(f151(A,c4),powerset(A)) | powerset(A) != the_carrier(c4). [resolve(2061,a,2054,a)]. 77.40/78.28 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) = boole_lattice(A) | element(f151(B,boole_lattice(A)),powerset(B)) | powerset(B) != the_carrier(boole_lattice(A)). [resolve(2061,a,2055,a)]. 77.40/78.28 Derived: -latt_str(c8) | boole_lattice(A) = c8 | element(f151(A,c8),powerset(A)) | powerset(A) != the_carrier(c8). [resolve(2061,a,2057,a)]. 77.40/78.28 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) = latt_str_of(A,B,C) | element(f151(D,latt_str_of(A,B,C)),powerset(D)) | powerset(D) != the_carrier(latt_str_of(A,B,C)) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2061,a,2058,g)]. 77.40/78.28 2062 -strict_latt_str(A) | -latt_str(A) | boole_lattice(B) = A | element(f152(B,A),powerset(B)) | powerset(B) != the_carrier(A) # label(d1_lattice3) # label(axiom). [clausify(261)]. 77.40/78.28 Derived: -latt_str(c4) | boole_lattice(A) = c4 | element(f152(A,c4),powerset(A)) | powerset(A) != the_carrier(c4). [resolve(2062,a,2054,a)]. 77.40/78.28 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) = boole_lattice(A) | element(f152(B,boole_lattice(A)),powerset(B)) | powerset(B) != the_carrier(boole_lattice(A)). [resolve(2062,a,2055,a)]. 77.40/78.28 Derived: -latt_str(c8) | boole_lattice(A) = c8 | element(f152(A,c8),powerset(A)) | powerset(A) != the_carrier(c8). [resolve(2062,a,2057,a)]. 77.40/78.28 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) = latt_str_of(A,B,C) | element(f152(D,latt_str_of(A,B,C)),powerset(D)) | powerset(D) != the_carrier(latt_str_of(A,B,C)) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2062,a,2058,g)]. 77.40/78.28 2063 -strict_latt_str(A) | -latt_str(A) | boole_lattice(B) = A | apply_binary(the_L_join(A),f151(B,A),f152(B,A)) != subset_union2(B,f151(B,A),f152(B,A)) | apply_binary(the_L_meet(A),f151(B,A),f152(B,A)) != subset_intersection2(B,f151(B,A),f152(B,A)) | powerset(B) != the_carrier(A) # label(d1_lattice3) # label(axiom). [clausify(261)]. 77.40/78.28 Derived: -latt_str(c4) | boole_lattice(A) = c4 | apply_binary(the_L_join(c4),f151(A,c4),f152(A,c4)) != subset_union2(A,f151(A,c4),f152(A,c4)) | apply_binary(the_L_meet(c4),f151(A,c4),f152(A,c4)) != subset_intersection2(A,f151(A,c4),f152(A,c4)) | powerset(A) != the_carrier(c4). [resolve(2063,a,2054,a)]. 77.40/78.28 Derived: -latt_str(boole_lattice(A)) | boole_lattice(B) = boole_lattice(A) | apply_binary(the_L_join(boole_lattice(A)),f151(B,boole_lattice(A)),f152(B,boole_lattice(A))) != subset_union2(B,f151(B,boole_lattice(A)),f152(B,boole_lattice(A))) | apply_binary(the_L_meet(boole_lattice(A)),f151(B,boole_lattice(A)),f152(B,boole_lattice(A))) != subset_intersection2(B,f151(B,boole_lattice(A)),f152(B,boole_lattice(A))) | powerset(B) != the_carrier(boole_lattice(A)). [resolve(2063,a,2055,a)]. 77.50/78.37 Derived: -latt_str(c8) | boole_lattice(A) = c8 | apply_binary(the_L_join(c8),f151(A,c8),f152(A,c8)) != subset_union2(A,f151(A,c8),f152(A,c8)) | apply_binary(the_L_meet(c8),f151(A,c8),f152(A,c8)) != subset_intersection2(A,f151(A,c8),f152(A,c8)) | powerset(A) != the_carrier(c8). [resolve(2063,a,2057,a)]. 77.50/78.37 Derived: -latt_str(latt_str_of(A,B,C)) | boole_lattice(D) = latt_str_of(A,B,C) | apply_binary(the_L_join(latt_str_of(A,B,C)),f151(D,latt_str_of(A,B,C)),f152(D,latt_str_of(A,B,C))) != subset_union2(D,f151(D,latt_str_of(A,B,C)),f152(D,latt_str_of(A,B,C))) | apply_binary(the_L_meet(latt_str_of(A,B,C)),f151(D,latt_str_of(A,B,C)),f152(D,latt_str_of(A,B,C))) != subset_intersection2(D,f151(D,latt_str_of(A,B,C)),f152(D,latt_str_of(A,B,C))) | powerset(D) != the_carrier(latt_str_of(A,B,C)) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2063,a,2058,g)]. 77.50/78.37 2064 -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(278)]. 77.50/78.37 Derived: -latt_str(c4) | latt_str_of(the_carrier(c4),the_L_join(c4),the_L_meet(c4)) = c4. [resolve(2064,b,2054,a)]. 77.50/78.37 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(2064,b,2055,a)]. 77.50/78.37 Derived: -latt_str(c8) | latt_str_of(the_carrier(c8),the_L_join(c8),the_L_meet(c8)) = c8. [resolve(2064,b,2057,a)]. 77.50/78.37 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) | -quasi_total(B,cartesian_product2(A,A),A) | -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) | -function(B). [resolve(2064,b,2058,g)]. 77.50/78.37 2065 -function(A) | -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) | empty(B) | strict_latt_str(latt_str_of(B,A,C)) # label(fc3_lattices) # label(axiom). [clausify(318)]. 77.50/78.37 2066 empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | strict_latt_str(k8_filter_1(A,B)) # label(dt_k8_filter_1) # label(axiom). [clausify(340)]. 77.50/78.37 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -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(2066,e,2053,a)]. 77.50/78.37 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -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(2066,e,2059,a)]. 77.50/78.37 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -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(2066,e,2060,a)]. 77.50/78.37 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) = k8_filter_1(A,B) | element(f151(C,k8_filter_1(A,B)),powerset(C)) | powerset(C) != the_carrier(k8_filter_1(A,B)). [resolve(2066,e,2061,a)]. 77.50/78.37 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) = k8_filter_1(A,B) | element(f152(C,k8_filter_1(A,B)),powerset(C)) | powerset(C) != the_carrier(k8_filter_1(A,B)). [resolve(2066,e,2062,a)]. 77.50/78.37 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -latt_str(k8_filter_1(A,B)) | boole_lattice(C) = k8_filter_1(A,B) | apply_binary(the_L_join(k8_filter_1(A,B)),f151(C,k8_filter_1(A,B)),f152(C,k8_filter_1(A,B))) != subset_union2(C,f151(C,k8_filter_1(A,B)),f152(C,k8_filter_1(A,B))) | apply_binary(the_L_meet(k8_filter_1(A,B)),f151(C,k8_filter_1(A,B)),f152(C,k8_filter_1(A,B))) != subset_intersection2(C,f151(C,k8_filter_1(A,B)),f152(C,k8_filter_1(A,B))) | powerset(C) != the_carrier(k8_filter_1(A,B)). [resolve(2066,e,2063,a)]. 88.52/89.41 Derived: empty_carrier(A) | empty_carrier(B) | -latt_str(B) | -latt_str(A) | -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). [resolve(2066,e,2064,b)]. 88.52/89.41 2067 strict_latt_str(c22) # label(rc3_lattices) # label(axiom). [clausify(394)]. 88.52/89.41 Derived: -latt_str(c22) | boole_lattice(A) != c22 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_join(c22),B,C) = subset_union2(A,B,C). [resolve(2067,a,2053,a)]. 88.52/89.41 Derived: -latt_str(c22) | boole_lattice(A) != c22 | -element(B,powerset(A)) | -element(C,powerset(A)) | apply_binary(the_L_meet(c22),B,C) = subset_intersection2(A,B,C). [resolve(2067,a,2059,a)]. 88.52/89.41 Derived: -latt_str(c22) | boole_lattice(A) != c22 | powerset(A) = the_carrier(c22). [resolve(2067,a,2060,a)]. 88.52/89.41 Derived: -latt_str(c22) | boole_lattice(A) = c22 | element(f151(A,c22),powerset(A)) | powerset(A) != the_carrier(c22). [resolve(2067,a,2061,a)]. 88.52/89.41 Derived: -latt_str(c22) | boole_lattice(A) = c22 | element(f152(A,c22),powerset(A)) | powerset(A) != the_carrier(c22). [resolve(2067,a,2062,a)]. 88.52/89.41 Derived: -latt_str(c22) | boole_lattice(A) = c22 | apply_binary(the_L_join(c22),f151(A,c22),f152(A,c22)) != subset_union2(A,f151(A,c22),f152(A,c22)) | apply_binary(the_L_meet(c22),f151(A,c22),f152(A,c22)) != subset_intersection2(A,f151(A,c22),f152(A,c22)) | powerset(A) != the_carrier(c22). [resolve(2067,a,2063,a)]. 88.52/89.41 Derived: -latt_str(c22) | latt_str_of(the_carrier(c22),the_L_join(c22),the_L_meet(c22)) = c22. [resolve(2067,a,2064,b)]. 88.52/89.41 2068 strict_latt_str(boole_lattice(A)) # label(fc1_lattice3) # label(axiom). [clausify(573)]. 88.52/89.41 2069 -join_semilatt_str(A) | -join_commutative(A) | empty_carrier(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(116)]. 88.52/89.41 2070 join_commutative(c4) # label(rc9_lattices) # label(axiom). [clausify(67)]. 88.52/89.41 Derived: -join_semilatt_str(c4) | empty_carrier(c4) | -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | -below(c4,B,A) | -below(c4,A,B) | B = A. [resolve(2069,b,2070,a)]. 88.52/89.41 2071 join_commutative(boole_lattice(A)) # label(fc2_lattice3) # label(axiom). [clausify(117)]. 88.52/89.41 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(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(2071,a,2069,b)]. 88.52/89.41 2072 empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_semilatt_str(A) | -join_commutative(A) | join_commut(A,B,C) = join_commut(A,C,B) # label(commutativity_k3_lattices) # label(axiom). [clausify(208)]. 88.52/89.41 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | -join_semilatt_str(c4) | join_commut(c4,A,B) = join_commut(c4,B,A). [resolve(2072,e,2070,a)]. 88.52/89.41 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),B,C) = join_commut(boole_lattice(A),C,B). [resolve(2072,e,2071,a)]. 88.52/89.41 2073 -join_commutative(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_semilatt_str(A) | empty_carrier(A) | element(join_commut(A,C,B),the_carrier(A)) # label(dt_k3_lattices) # label(axiom). [clausify(397)]. 88.52/89.41 Derived: -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | -join_semilatt_str(c4) | empty_carrier(c4) | element(join_commut(c4,B,A),the_carrier(c4)). [resolve(2073,a,2070,a)]. 88.52/89.41 Derived: -element(A,the_carrier(boole_lattice(B))) | -element(C,the_carrier(boole_lattice(B))) | -join_semilatt_str(boole_lattice(B)) | empty_carrier(boole_lattice(B)) | element(join_commut(boole_lattice(B),C,A),the_carrier(boole_lattice(B))). [resolve(2073,a,2071,a)]. 89.80/90.65 2074 -latt_str(A) | -join_associative(A) | -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -meet_associative(A) | -join_commutative(A) | empty_carrier(A) | lattice(A) # label(cc2_lattices) # label(axiom). [clausify(398)]. 89.80/90.65 Derived: -latt_str(c4) | -join_associative(c4) | -meet_commutative(c4) | -meet_absorbing(c4) | -join_absorbing(c4) | -meet_associative(c4) | empty_carrier(c4) | lattice(c4). [resolve(2074,g,2070,a)]. 89.80/90.65 Derived: -latt_str(boole_lattice(A)) | -join_associative(boole_lattice(A)) | -meet_commutative(boole_lattice(A)) | -meet_absorbing(boole_lattice(A)) | -join_absorbing(boole_lattice(A)) | -meet_associative(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | lattice(boole_lattice(A)). [resolve(2074,g,2071,a)]. 89.80/90.65 2075 -latt_str(A) | -lattice(A) | empty_carrier(A) | join_commutative(A) # label(cc1_lattices) # label(axiom). [clausify(418)]. 89.80/90.65 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -join_semilatt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -below(A,C,B) | -below(A,B,C) | C = B. [resolve(2075,d,2069,b)]. 89.80/90.65 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_semilatt_str(A) | join_commut(A,B,C) = join_commut(A,C,B). [resolve(2075,d,2072,e)]. 89.80/90.65 Derived: -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_semilatt_str(A) | empty_carrier(A) | element(join_commut(A,C,B),the_carrier(A)). [resolve(2075,d,2073,a)]. 89.80/90.65 2076 -join_semilatt_str(A) | -join_commutative(A) | empty_carrier(A) | relation(the_L_join(A)) # label(fc2_lattice2) # label(axiom). [clausify(503)]. 89.80/90.65 Derived: -join_semilatt_str(c4) | empty_carrier(c4) | relation(the_L_join(c4)). [resolve(2076,b,2070,a)]. 89.80/90.65 Derived: -join_semilatt_str(boole_lattice(A)) | empty_carrier(boole_lattice(A)) | relation(the_L_join(boole_lattice(A))). [resolve(2076,b,2071,a)]. 89.80/90.65 Derived: -join_semilatt_str(A) | empty_carrier(A) | relation(the_L_join(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(2076,b,2075,d)]. 89.80/90.65 2077 -join_semilatt_str(A) | -join_commutative(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(503)]. 89.80/90.65 2078 -join_semilatt_str(A) | -join_commutative(A) | empty_carrier(A) | v1_binop_1(the_L_join(A),the_carrier(A)) # label(fc2_lattice2) # label(axiom). [clausify(503)]. 89.80/90.65 Derived: -join_semilatt_str(c4) | empty_carrier(c4) | v1_binop_1(the_L_join(c4),the_carrier(c4)). [resolve(2078,b,2070,a)]. 89.80/90.65 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(2078,b,2071,a)]. 89.80/90.65 Derived: -join_semilatt_str(A) | empty_carrier(A) | v1_binop_1(the_L_join(A),the_carrier(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A). [resolve(2078,b,2075,d)]. 89.80/90.65 2079 -join_semilatt_str(A) | -join_commutative(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(503)]. 89.80/90.65 Derived: -join_semilatt_str(c4) | empty_carrier(c4) | v1_partfun1(the_L_join(c4),cartesian_product2(the_carrier(c4),the_carrier(c4)),the_carrier(c4)). [resolve(2079,b,2070,a)]. 89.80/90.65 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(2079,b,2071,a)]. 89.80/90.65 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) | -lattice(A) | empty_carrier(A). [resolve(2079,b,2075,d)]. 107.28/108.20 2080 -join_semilatt_str(A) | -join_commutative(A) | empty_carrier(A) | function(the_L_join(A)) # label(fc2_lattice2) # label(axiom). [clausify(503)]. 107.28/108.20 2081 -element(A,the_carrier(B)) | -element(C,the_carrier(B)) | -join_semilatt_str(B) | -join_commutative(B) | empty_carrier(B) | join_commut(B,A,C) = join(B,A,C) # label(redefinition_k3_lattices) # label(axiom). [clausify(618)]. 107.28/108.20 Derived: -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | -join_semilatt_str(c4) | empty_carrier(c4) | join_commut(c4,A,B) = join(c4,A,B). [resolve(2081,d,2070,a)]. 107.28/108.20 Derived: -element(A,the_carrier(boole_lattice(B))) | -element(C,the_carrier(boole_lattice(B))) | -join_semilatt_str(boole_lattice(B)) | empty_carrier(boole_lattice(B)) | join_commut(boole_lattice(B),A,C) = join(boole_lattice(B),A,C). [resolve(2081,d,2071,a)]. 107.28/108.20 Derived: -element(A,the_carrier(B)) | -element(C,the_carrier(B)) | -join_semilatt_str(B) | empty_carrier(B) | join_commut(B,A,C) = join(B,A,C) | -latt_str(B) | -lattice(B) | empty_carrier(B). [resolve(2081,d,2075,d)]. 107.28/108.20 2082 -latt_str(A) | -lattice(A) | empty_carrier(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)) | -below_refl(A,B,C) # label(t32_filter_1) # label(lemma). [clausify(40)]. 107.28/108.20 2083 -latt_str(A) | -lattice(A) | empty_carrier(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)) | below_refl(A,B,C) # label(t32_filter_1) # label(lemma). [clausify(40)]. 107.28/108.20 2084 -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),C,B) != D | -below_refl(A,C,B) | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)) # label(fraenkel_a_1_0_filter_1) # label(axiom). [clausify(47)]. 107.28/108.20 Derived: -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),C,B) != D | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(C,the_carrier(A)) | -element(B,the_carrier(A)) | -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),C,B),relation_of_lattice(A)). [resolve(2084,f,2083,g)]. 107.28/108.20 2085 -lattice(A) | -latt_str(A) | empty_carrier(A) | below_refl(A,f13(B,A),f14(B,A)) | -in(B,a_1_0_filter_1(A)) # label(fraenkel_a_1_0_filter_1) # label(axiom). [clausify(47)]. 107.28/108.20 Derived: -lattice(A) | -latt_str(A) | empty_carrier(A) | -in(B,a_1_0_filter_1(A)) | -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(f13(B,A),the_carrier(A)) | -element(f14(B,A),the_carrier(A)) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),f13(B,A),f14(B,A)),relation_of_lattice(A)). [resolve(2085,d,2082,g)]. 107.28/108.20 Derived: -lattice(A) | -latt_str(A) | empty_carrier(A) | -in(B,a_1_0_filter_1(A)) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(f14(B,A),the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),f13(B,A),f14(B,A)) != C | -element(f13(B,A),the_carrier(A)) | in(C,a_1_0_filter_1(A)). [resolve(2085,d,2084,f)]. 107.28/108.20 2086 -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_absorbing(A) | -meet_absorbing(A) | -meet_commutative(A) | empty_carrier(A) | below_refl(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(346)]. 107.28/108.20 Derived: -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_absorbing(A) | -meet_absorbing(A) | -meet_commutative(A) | empty_carrier(A) | -latt_str(A) | -lattice(A) | empty_carrier(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)). [resolve(2086,h,2082,g)]. 107.28/108.20 Derived: -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_absorbing(A) | -meet_absorbing(A) | -meet_commutative(A) | empty_carrier(A) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,B) != D | -element(B,the_carrier(A)) | in(D,a_1_0_filter_1(A)). [resolve(2086,h,2084,f)]. 108.84/109.68 2087 -lattice(A) | -latt_str(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(365)]. 108.84/109.68 Derived: -lattice(A) | -latt_str(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)) | -latt_str(A) | -lattice(A) | empty_carrier(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(2087,f,2083,g)]. 108.84/109.68 Derived: -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(f13(B,A),the_carrier(A)) | -element(f14(B,A),the_carrier(A)) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,f13(B,A)),cast_to_el_of_LattPOSet(A,f14(B,A))) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -in(B,a_1_0_filter_1(A)). [resolve(2087,f,2085,d)]. 108.84/109.68 Derived: -lattice(A) | -latt_str(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)) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_absorbing(A) | -meet_absorbing(A) | -meet_commutative(A) | empty_carrier(A). [resolve(2087,f,2086,h)]. 108.84/109.68 2088 -lattice(A) | -latt_str(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(365)]. 108.84/109.68 Derived: -lattice(A) | -latt_str(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)) | -latt_str(A) | -lattice(A) | empty_carrier(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(2088,f,2082,g)]. 108.84/109.68 Derived: -lattice(A) | -latt_str(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)) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(C,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C) != D | -element(B,the_carrier(A)) | in(D,a_1_0_filter_1(A)). [resolve(2088,f,2084,f)]. 108.84/109.68 2089 -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | -below(A,C,B) | below_refl(A,C,B) # label(redefinition_r3_lattices) # label(axiom). [clausify(501)]. 108.84/109.68 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | -below(A,C,B) | -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(C,the_carrier(A)) | -element(B,the_carrier(A)) | in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),C,B),relation_of_lattice(A)). [resolve(2089,i,2082,g)]. 108.84/109.68 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | -below(A,C,B) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | ordered_pair_as_product_element(the_carrier(A),the_carrier(A),C,B) != D | -element(C,the_carrier(A)) | in(D,a_1_0_filter_1(A)). [resolve(2089,i,2084,f)]. 108.84/109.68 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | -below(A,C,B) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(C,the_carrier(A)) | -element(B,the_carrier(A)) | related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,C),cast_to_el_of_LattPOSet(A,B)). [resolve(2089,i,2087,f)]. 116.94/117.81 2090 -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | below(A,C,B) | -below_refl(A,C,B) # label(redefinition_r3_lattices) # label(axiom). [clausify(501)]. 116.94/117.81 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | below(A,C,B) | -latt_str(A) | -lattice(A) | empty_carrier(A) | -element(C,the_carrier(A)) | -element(B,the_carrier(A)) | -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),C,B),relation_of_lattice(A)). [resolve(2090,i,2083,g)]. 116.94/117.81 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(f14(B,A),the_carrier(A)) | -element(f13(B,A),the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | below(A,f13(B,A),f14(B,A)) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -in(B,a_1_0_filter_1(A)). [resolve(2090,i,2085,d)]. 116.94/117.81 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(B,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | below(A,B,B) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -join_absorbing(A) | -meet_absorbing(A) | -meet_commutative(A) | empty_carrier(A). [resolve(2090,i,2086,h)]. 116.94/117.81 Derived: -meet_commutative(A) | -join_absorbing(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -latt_str(A) | -meet_absorbing(A) | empty_carrier(A) | below(A,C,B) | -lattice(A) | -latt_str(A) | empty_carrier(A) | -element(C,the_carrier(A)) | -element(B,the_carrier(A)) | -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,C),cast_to_el_of_LattPOSet(A,B)). [resolve(2090,i,2088,f)]. 116.94/117.81 2091 -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | topological_space(A) # label(d1_pre_topc) # label(axiom). [clausify(590)]. 116.94/117.81 2092 -element(A,powerset(the_carrier(B))) | -closed_subset(A,B) | -top_str(B) | -topological_space(B) | open_subset(subset_complement(the_carrier(B),A),B) # label(fc3_tops_1) # label(axiom). [clausify(78)]. 116.94/117.81 2093 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2094 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2095 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2096 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2097 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2098 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2099 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2100 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2101 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2102 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2103 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2104 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2105 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2106 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2107 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2108 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2109 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2110 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2111 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2112 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))) # label(s1_tarski__e2_37_1_1__pre_topc__1) # label(axiom). [clausify(86)]. 116.94/117.81 2113 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | topstr_closure(A,B) != B | closed_subset(B,A) # label(t52_pre_topc) # label(lemma). [clausify(87)]. 116.94/117.81 2114 -topological_space(A) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A) # label(rc7_pre_topc) # label(axiom). [clausify(110)]. 116.94/117.81 2115 -topological_space(A) | -top_str(A) | empty_carrier(A) | -empty(f62(A)) # label(rc7_pre_topc) # label(axiom). [clausify(110)]. 116.94/117.81 2116 -topological_space(A) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))) # label(rc7_pre_topc) # label(axiom). [clausify(110)]. 116.94/117.81 2117 -top_str(A) | -topological_space(A) | closed_subset(f63(A),A) # label(rc6_pre_topc) # label(axiom). [clausify(132)]. 116.94/117.81 2118 -top_str(A) | -topological_space(A) | element(f63(A),powerset(the_carrier(A))) # label(rc6_pre_topc) # label(axiom). [clausify(132)]. 116.94/117.81 2119 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | element(f103(A,B),powerset(powerset(the_carrier(A)))) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(207)]. 116.94/117.81 2120 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(207)]. 116.94/117.81 2121 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(207)]. 116.94/117.81 2122 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(207)]. 116.94/117.81 2123 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(207)]. 116.94/117.81 2124 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)) # label(s3_subset_1__e1_40__pre_topc) # label(lemma). [clausify(207)]. 116.94/117.81 2125 -topological_space(A) | -top_str(A) | open_subset(f167(A),A) # label(rc1_tops_1) # label(axiom). [clausify(281)]. 116.94/117.81 2126 -topological_space(A) | -top_str(A) | element(f167(A),powerset(the_carrier(A))) # label(rc1_tops_1) # label(axiom). [clausify(281)]. 116.94/117.81 2127 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma). [clausify(283)]. 116.94/117.81 2128 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma). [clausify(283)]. 116.94/117.81 2129 -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -topological_space(A) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)) # label(s1_xboole_0__e2_37_1_1__pre_topc__1) # label(lemma). [clausify(283)]. 116.94/117.81 2130 -top_str(A) | -element(B,powerset(the_carrier(A))) | -topological_space(A) | closed_subset(topstr_closure(A,B),A) # label(fc2_tops_1) # label(axiom). [clausify(294)]. 116.94/117.81 2131 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A) # label(fc6_tops_1) # label(axiom). [clausify(302)]. 116.94/117.81 2132 empty_carrier(A) | -topological_space(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B) # label(existence_m1_connsp_2) # label(axiom). [clausify(313)]. 116.94/117.81 2133 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(327)]. 116.94/117.81 2134 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(327)]. 116.94/117.81 2135 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(327)]. 116.94/117.81 2136 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(327)]. 116.94/117.81 2137 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(327)]. 116.94/117.81 2138 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(lemma). [clausify(327)]. 116.94/117.81 2139 -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B) # label(d1_connsp_2) # label(axiom). [clausify(359)]. 116.94/117.81 2140 -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B) # label(d1_connsp_2) # label(axiom). [clausify(359)]. 116.94/117.81 2141 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A) # label(t51_tops_1) # label(lemma). [clausify(362)]. 116.94/117.81 2142 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2143 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2144 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2145 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2146 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2147 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2148 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2149 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2150 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2151 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2152 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2153 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2154 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2155 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2156 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2157 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2158 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2159 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2160 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2161 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2162 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2163 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2164 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2165 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2166 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2167 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2168 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2169 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2170 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2171 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2172 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2173 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2174 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2175 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2176 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2177 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2178 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2179 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2180 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2181 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2182 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2183 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2184 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2185 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2186 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2187 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2188 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2189 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2190 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2191 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2192 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2193 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2194 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2195 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2196 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2197 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2198 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2199 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2200 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2201 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2202 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2203 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2204 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2205 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2206 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2207 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2208 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2209 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2210 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2211 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2212 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2213 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2214 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2215 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2216 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2217 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | subset(B,C) | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2218 -topological_space(A) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(373)]. 116.94/117.81 2219 -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | in(C,f256(A,B)) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma). [clausify(395)]. 116.94/117.81 2220 -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f256(A,B)) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma). [clausify(395)]. 116.98/117.81 2221 -topological_space(A) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f256(A,B),powerset(powerset(the_carrier(A)))) # label(s3_subset_1__e2_37_1_1__pre_topc) # label(lemma). [clausify(395)]. 116.98/117.81 2222 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A) # label(fc4_tops_1) # label(axiom). [clausify(408)]. 116.98/117.81 2223 -top_str(A) | -topological_space(A) | empty_carrier(A) | element(f278(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(434)]. 116.98/117.81 2224 -top_str(A) | -topological_space(A) | empty_carrier(A) | closed_subsets(f278(A),A) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(434)]. 116.98/117.81 2225 -top_str(A) | -topological_space(A) | empty_carrier(A) | meet_of_subsets(the_carrier(A),f278(A)) = empty_set | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(434)]. 116.98/117.81 2226 -top_str(A) | -topological_space(A) | empty_carrier(A) | centered(f278(A)) | compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(434)]. 116.98/117.81 2227 -top_str(A) | -topological_space(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A) # label(t13_compts_1) # label(lemma). [clausify(434)]. 116.98/117.81 2228 -topological_space(A) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A) # label(fc5_pre_topc) # label(axiom). [clausify(450)]. 116.98/117.81 2229 empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | -topological_space(A) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))) # label(dt_m1_connsp_2) # label(axiom). [clausify(458)]. 116.98/117.81 2230 -top_str(A) | -topological_space(A) | open_subset(f314(A),A) # label(rc2_tops_1) # label(axiom). [clausify(477)]. 116.98/117.81 2231 -top_str(A) | -topological_space(A) | closed_subset(f314(A),A) # label(rc2_tops_1) # label(axiom). [clausify(477)]. 116.98/117.81 2232 -top_str(A) | -topological_space(A) | element(f314(A),powerset(the_carrier(A))) # label(rc2_tops_1) # label(axiom). [clausify(477)]. 116.98/117.81 2233 -topological_space(A) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D # label(t55_tops_1) # label(lemma). [clausify(508)]. 116.98/117.81 2234 -topological_space(A) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A) # label(t55_tops_1) # label(lemma). [clausify(508)]. 116.98/117.81 2235 -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f325(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A) # label(t44_pre_topc) # label(lemma). [clausify(514)]. 116.98/117.81 2236 -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f325(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A) # label(t44_pre_topc) # label(lemma). [clausify(514)]. 116.98/117.81 2237 -top_str(A) | -topological_space(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f325(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A) # label(t44_pre_topc) # label(lemma). [clausify(514)]. 116.98/117.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2091,e,2093,c)]. 116.98/117.81 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2091,e,2094,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2091,e,2095,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2091,e,2096,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2091,e,2097,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2091,e,2098,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2091,e,2099,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2091,e,2100,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2091,e,2101,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2091,e,2102,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2091,e,2103,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2091,e,2104,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2091,e,2105,c)]. 116.98/117.83 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2091,e,2106,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2091,e,2107,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2091,e,2108,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2091,e,2109,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2091,e,2110,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2091,e,2111,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2091,e,2112,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(2091,e,2113,c)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A). [resolve(2091,e,2114,a)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -empty(f62(A)). [resolve(2091,e,2115,a)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))). [resolve(2091,e,2116,a)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f63(A),A). [resolve(2091,e,2117,b)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f63(A),powerset(the_carrier(A))). [resolve(2091,e,2118,b)]. 117.00/117.85 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f103(A,B),powerset(powerset(the_carrier(A)))). [resolve(2091,e,2119,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)). [resolve(2091,e,2120,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)). [resolve(2091,e,2121,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)). [resolve(2091,e,2122,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)). [resolve(2091,e,2123,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)). [resolve(2091,e,2124,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f167(A),A). [resolve(2091,e,2125,a)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f167(A),powerset(the_carrier(A))). [resolve(2091,e,2126,a)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)). [resolve(2091,e,2127,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)). [resolve(2091,e,2128,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)). [resolve(2091,e,2129,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(2091,e,2130,c)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(2091,e,2131,a)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B). [resolve(2091,e,2132,b)]. 117.00/117.87 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)). [resolve(2091,e,2133,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)). [resolve(2091,e,2134,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)). [resolve(2091,e,2135,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)). [resolve(2091,e,2136,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2091,e,2137,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2091,e,2138,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B). [resolve(2091,e,2139,b)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B). [resolve(2091,e,2140,b)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2142,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2143,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2144,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2145,a)]. 117.00/117.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2146,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2147,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2148,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2149,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2150,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2151,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2152,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2153,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2154,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2155,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2156,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2157,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2158,a)]. 117.00/117.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2159,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2160,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2161,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2162,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2163,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2164,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2165,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2166,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2167,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2168,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2169,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2170,a)]. 117.09/117.93 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2171,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2172,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2173,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2174,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2175,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2176,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2177,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2178,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2179,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2180,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2181,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2182,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2183,a)]. 117.09/117.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2184,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2185,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2186,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2187,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2188,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2189,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2190,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2191,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2192,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2193,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2194,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2195,a)]. 117.09/117.96 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2196,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2197,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2198,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2199,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2200,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2201,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2202,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2203,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2204,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2205,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2206,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2207,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2208,a)]. 117.16/117.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2209,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2210,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2211,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2091,e,2212,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2213,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2091,e,2214,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2215,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2091,e,2216,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2091,e,2217,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2091,e,2218,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | in(C,f256(A,B)). [resolve(2091,e,2219,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f256(A,B)). [resolve(2091,e,2220,a)]. 117.16/118.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f256(A,B),powerset(powerset(the_carrier(A)))). [resolve(2091,e,2221,a)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A). [resolve(2091,e,2222,a)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | element(f278(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(2091,e,2223,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | closed_subsets(f278(A),A) | compact_top_space(A). [resolve(2091,e,2224,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | meet_of_subsets(the_carrier(A),f278(A)) = empty_set | compact_top_space(A). [resolve(2091,e,2225,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | centered(f278(A)) | compact_top_space(A). [resolve(2091,e,2226,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(2091,e,2227,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A). [resolve(2091,e,2228,a)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))). [resolve(2091,e,2229,d)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f314(A),A). [resolve(2091,e,2230,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f314(A),A). [resolve(2091,e,2231,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f314(A),powerset(the_carrier(A))). [resolve(2091,e,2232,b)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D. [resolve(2091,e,2233,a)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A). [resolve(2091,e,2234,a)]. 117.16/118.02 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f325(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2091,e,2235,b)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f325(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2091,e,2236,b)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f325(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2091,e,2237,b)]. 117.16/118.04 2238 -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | topological_space(A) # label(d1_pre_topc) # label(axiom). [clausify(590)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2238,e,2093,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2238,e,2094,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2238,e,2095,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2238,e,2096,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2238,e,2097,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2238,e,2098,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2238,e,2099,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2238,e,2100,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2238,e,2101,c)]. 117.16/118.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2238,e,2102,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2238,e,2103,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2238,e,2104,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2238,e,2105,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2238,e,2106,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2238,e,2107,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2238,e,2108,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2238,e,2109,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2238,e,2110,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2238,e,2111,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2238,e,2112,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(2238,e,2113,c)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A). [resolve(2238,e,2114,a)]. 117.23/118.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -empty(f62(A)). [resolve(2238,e,2115,a)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))). [resolve(2238,e,2116,a)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | closed_subset(f63(A),A). [resolve(2238,e,2117,b)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | element(f63(A),powerset(the_carrier(A))). [resolve(2238,e,2118,b)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f103(A,B),powerset(powerset(the_carrier(A)))). [resolve(2238,e,2119,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)). [resolve(2238,e,2120,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)). [resolve(2238,e,2121,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)). [resolve(2238,e,2122,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)). [resolve(2238,e,2123,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)). [resolve(2238,e,2124,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | open_subset(f167(A),A). [resolve(2238,e,2125,a)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | element(f167(A),powerset(the_carrier(A))). [resolve(2238,e,2126,a)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)). [resolve(2238,e,2127,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)). [resolve(2238,e,2128,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)). [resolve(2238,e,2129,c)]. 117.25/118.09 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(2238,e,2130,c)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(2238,e,2131,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B). [resolve(2238,e,2132,b)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)). [resolve(2238,e,2133,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)). [resolve(2238,e,2134,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)). [resolve(2238,e,2135,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)). [resolve(2238,e,2136,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2238,e,2137,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2238,e,2138,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B). [resolve(2238,e,2139,b)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B). [resolve(2238,e,2140,b)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2142,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2143,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2144,a)]. 117.29/118.11 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2145,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2146,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2147,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2148,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2149,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2150,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2151,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2152,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2153,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2154,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2155,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2156,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2157,a)]. 117.29/118.13 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2158,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2159,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2160,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2161,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2162,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2163,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2164,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2165,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2166,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2167,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2168,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2169,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2170,a)]. 117.31/118.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2171,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2172,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2173,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2174,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2175,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2176,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2177,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2178,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2179,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2180,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2181,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2182,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2183,a)]. 117.31/118.18 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2184,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2185,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2186,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2187,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2188,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2189,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2190,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2191,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2192,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2193,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2194,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2195,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2196,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2197,a)]. 117.31/118.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2198,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2199,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2200,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2201,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2202,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2203,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2204,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2205,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2206,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2207,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2208,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2209,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2210,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2211,a)]. 117.40/118.24 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2238,e,2212,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2213,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2238,e,2214,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2215,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2238,e,2216,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2238,e,2217,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2238,e,2218,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | in(C,f256(A,B)). [resolve(2238,e,2219,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f256(A,B)). [resolve(2238,e,2220,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f256(A,B),powerset(powerset(the_carrier(A)))). [resolve(2238,e,2221,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A). [resolve(2238,e,2222,a)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f278(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(2238,e,2223,b)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subsets(f278(A),A) | compact_top_space(A). [resolve(2238,e,2224,b)]. 117.40/118.27 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | meet_of_subsets(the_carrier(A),f278(A)) = empty_set | compact_top_space(A). [resolve(2238,e,2225,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | centered(f278(A)) | compact_top_space(A). [resolve(2238,e,2226,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(2238,e,2227,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A). [resolve(2238,e,2228,a)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))). [resolve(2238,e,2229,d)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | open_subset(f314(A),A). [resolve(2238,e,2230,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | closed_subset(f314(A),A). [resolve(2238,e,2231,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | element(f314(A),powerset(the_carrier(A))). [resolve(2238,e,2232,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D. [resolve(2238,e,2233,a)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A). [resolve(2238,e,2234,a)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f325(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2238,e,2235,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f325(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2238,e,2236,b)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f325(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2238,e,2237,b)]. 117.48/118.31 2239 -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | topological_space(A) # label(d1_pre_topc) # label(axiom). [clausify(590)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2239,e,2093,c)]. 117.48/118.31 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2239,e,2094,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2239,e,2095,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2239,e,2096,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2239,e,2097,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2239,e,2098,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2239,e,2099,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2239,e,2100,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2239,e,2101,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2239,e,2102,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2239,e,2103,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2239,e,2104,c)]. 117.48/118.33 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2239,e,2105,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2239,e,2106,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2239,e,2107,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2239,e,2108,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2239,e,2109,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2239,e,2110,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2239,e,2111,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2239,e,2112,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(2239,e,2113,c)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A). [resolve(2239,e,2114,a)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -empty(f62(A)). [resolve(2239,e,2115,a)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))). [resolve(2239,e,2116,a)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | closed_subset(f63(A),A). [resolve(2239,e,2117,b)]. 117.48/118.35 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | element(f63(A),powerset(the_carrier(A))). [resolve(2239,e,2118,b)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f103(A,B),powerset(powerset(the_carrier(A)))). [resolve(2239,e,2119,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)). [resolve(2239,e,2120,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)). [resolve(2239,e,2121,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)). [resolve(2239,e,2122,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)). [resolve(2239,e,2123,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)). [resolve(2239,e,2124,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | open_subset(f167(A),A). [resolve(2239,e,2125,a)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | element(f167(A),powerset(the_carrier(A))). [resolve(2239,e,2126,a)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)). [resolve(2239,e,2127,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)). [resolve(2239,e,2128,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)). [resolve(2239,e,2129,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(2239,e,2130,c)]. 117.48/118.37 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(2239,e,2131,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B). [resolve(2239,e,2132,b)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)). [resolve(2239,e,2133,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)). [resolve(2239,e,2134,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)). [resolve(2239,e,2135,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)). [resolve(2239,e,2136,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2239,e,2137,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2239,e,2138,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B). [resolve(2239,e,2139,b)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B). [resolve(2239,e,2140,b)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2142,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2143,a)]. 117.57/118.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2144,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2145,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2146,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2147,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2148,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2149,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2150,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2151,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2152,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2153,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2154,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2155,a)]. 117.59/118.42 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2156,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2157,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2158,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2159,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2160,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2161,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2162,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2163,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2164,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2165,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2166,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2167,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2168,a)]. 117.59/118.45 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2169,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2170,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2171,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2172,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2173,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2174,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2175,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2176,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2177,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2178,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2179,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2180,a)]. 117.59/118.50 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2181,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2182,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2183,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2184,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2185,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2186,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2187,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2188,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2189,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2190,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2191,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2192,a)]. 117.69/118.55 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2193,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2194,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2195,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2196,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2197,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2198,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2199,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2200,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2201,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2202,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2203,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2204,a)]. 117.77/118.59 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2205,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2206,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2207,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2208,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2209,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2210,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2211,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2239,e,2212,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2213,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2239,e,2214,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2215,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2239,e,2216,a)]. 117.77/118.63 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2239,e,2217,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2239,e,2218,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | in(C,f256(A,B)). [resolve(2239,e,2219,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f256(A,B)). [resolve(2239,e,2220,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f256(A,B),powerset(powerset(the_carrier(A)))). [resolve(2239,e,2221,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A). [resolve(2239,e,2222,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f278(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(2239,e,2223,b)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subsets(f278(A),A) | compact_top_space(A). [resolve(2239,e,2224,b)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | meet_of_subsets(the_carrier(A),f278(A)) = empty_set | compact_top_space(A). [resolve(2239,e,2225,b)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | centered(f278(A)) | compact_top_space(A). [resolve(2239,e,2226,b)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(2239,e,2227,b)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A). [resolve(2239,e,2228,a)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))). [resolve(2239,e,2229,d)]. 117.77/118.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | open_subset(f314(A),A). [resolve(2239,e,2230,b)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | closed_subset(f314(A),A). [resolve(2239,e,2231,b)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | element(f314(A),powerset(the_carrier(A))). [resolve(2239,e,2232,b)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D. [resolve(2239,e,2233,a)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A). [resolve(2239,e,2234,a)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f325(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2239,e,2235,b)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f325(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2239,e,2236,b)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f359(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f325(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2239,e,2237,b)]. 117.90/118.72 2240 -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | topological_space(A) # label(d1_pre_topc) # label(axiom). [clausify(590)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2240,e,2093,c)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2240,e,2094,c)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2240,e,2095,c)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2240,e,2096,c)]. 117.90/118.72 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2240,e,2097,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2240,e,2098,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2240,e,2099,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2240,e,2100,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2240,e,2101,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2240,e,2102,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2240,e,2103,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2240,e,2104,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2240,e,2105,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2240,e,2106,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2240,e,2107,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2240,e,2108,c)]. 117.90/118.77 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2240,e,2109,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2240,e,2110,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2240,e,2111,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2240,e,2112,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(2240,e,2113,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A). [resolve(2240,e,2114,a)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -empty(f62(A)). [resolve(2240,e,2115,a)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))). [resolve(2240,e,2116,a)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f63(A),A). [resolve(2240,e,2117,b)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f63(A),powerset(the_carrier(A))). [resolve(2240,e,2118,b)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f103(A,B),powerset(powerset(the_carrier(A)))). [resolve(2240,e,2119,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)). [resolve(2240,e,2120,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)). [resolve(2240,e,2121,c)]. 117.90/118.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)). [resolve(2240,e,2122,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)). [resolve(2240,e,2123,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)). [resolve(2240,e,2124,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f167(A),A). [resolve(2240,e,2125,a)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f167(A),powerset(the_carrier(A))). [resolve(2240,e,2126,a)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)). [resolve(2240,e,2127,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)). [resolve(2240,e,2128,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)). [resolve(2240,e,2129,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(2240,e,2130,c)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(2240,e,2131,a)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B). [resolve(2240,e,2132,b)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)). [resolve(2240,e,2133,a)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)). [resolve(2240,e,2134,a)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)). [resolve(2240,e,2135,a)]. 118.00/118.86 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)). [resolve(2240,e,2136,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2240,e,2137,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2240,e,2138,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B). [resolve(2240,e,2139,b)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B). [resolve(2240,e,2140,b)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2142,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2143,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2144,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2145,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2146,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2147,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2148,a)]. 118.09/118.91 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2149,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2150,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2151,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2152,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2153,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2154,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2155,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2156,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2157,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2158,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2159,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2160,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2161,a)]. 118.09/118.95 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2162,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2163,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2164,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2165,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2166,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2167,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2168,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2169,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2170,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2171,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2172,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2173,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2174,a)]. 118.09/119.00 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2175,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2176,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2177,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2178,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2179,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2180,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2181,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2182,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2183,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2184,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2185,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2186,a)]. 118.18/119.04 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2187,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2188,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2189,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2190,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2191,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2192,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2193,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2194,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2195,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2196,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2197,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2198,a)]. 118.18/119.07 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2199,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2200,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2201,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2202,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2203,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2204,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2205,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2206,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2207,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2208,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2209,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2210,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2211,a)]. 118.28/119.12 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2240,e,2212,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2213,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2240,e,2214,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2215,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2240,e,2216,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2240,e,2217,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2240,e,2218,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | in(C,f256(A,B)). [resolve(2240,e,2219,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f256(A,B)). [resolve(2240,e,2220,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f256(A,B),powerset(powerset(the_carrier(A)))). [resolve(2240,e,2221,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A). [resolve(2240,e,2222,a)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | element(f278(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(2240,e,2223,b)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | closed_subsets(f278(A),A) | compact_top_space(A). [resolve(2240,e,2224,b)]. 118.28/119.16 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | meet_of_subsets(the_carrier(A),f278(A)) = empty_set | compact_top_space(A). [resolve(2240,e,2225,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | centered(f278(A)) | compact_top_space(A). [resolve(2240,e,2226,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(2240,e,2227,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A). [resolve(2240,e,2228,a)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))). [resolve(2240,e,2229,d)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | open_subset(f314(A),A). [resolve(2240,e,2230,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | closed_subset(f314(A),A). [resolve(2240,e,2231,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | element(f314(A),powerset(the_carrier(A))). [resolve(2240,e,2232,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D. [resolve(2240,e,2233,a)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A). [resolve(2240,e,2234,a)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f325(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2240,e,2235,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f325(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2240,e,2236,b)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | element(f361(A),powerset(powerset(the_carrier(A)))) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f325(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2240,e,2237,b)]. 118.39/119.21 2241 -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | topological_space(A) # label(d1_pre_topc) # label(axiom). [clausify(590)]. 118.39/119.21 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2241,e,2093,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2241,e,2094,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2241,e,2095,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2241,e,2096,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2241,e,2097,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2241,e,2098,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2241,e,2099,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2241,e,2100,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2241,e,2101,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2241,e,2102,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2241,e,2103,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2241,e,2104,c)]. 118.39/119.25 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2241,e,2105,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2241,e,2106,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2241,e,2107,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2241,e,2108,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2241,e,2109,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2241,e,2110,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2241,e,2111,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2241,e,2112,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(2241,e,2113,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A). [resolve(2241,e,2114,a)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -empty(f62(A)). [resolve(2241,e,2115,a)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))). [resolve(2241,e,2116,a)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | closed_subset(f63(A),A). [resolve(2241,e,2117,b)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | element(f63(A),powerset(the_carrier(A))). [resolve(2241,e,2118,b)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f103(A,B),powerset(powerset(the_carrier(A)))). [resolve(2241,e,2119,c)]. 118.39/119.30 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)). [resolve(2241,e,2120,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)). [resolve(2241,e,2121,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)). [resolve(2241,e,2122,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)). [resolve(2241,e,2123,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)). [resolve(2241,e,2124,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | open_subset(f167(A),A). [resolve(2241,e,2125,a)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | element(f167(A),powerset(the_carrier(A))). [resolve(2241,e,2126,a)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)). [resolve(2241,e,2127,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)). [resolve(2241,e,2128,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)). [resolve(2241,e,2129,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(2241,e,2130,c)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(2241,e,2131,a)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B). [resolve(2241,e,2132,b)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)). [resolve(2241,e,2133,a)]. 118.49/119.34 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)). [resolve(2241,e,2134,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)). [resolve(2241,e,2135,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)). [resolve(2241,e,2136,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2241,e,2137,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2241,e,2138,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B). [resolve(2241,e,2139,b)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B). [resolve(2241,e,2140,b)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2142,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2143,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2144,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2145,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2146,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2147,a)]. 118.49/119.39 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2148,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2149,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2150,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2151,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2152,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2153,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2154,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2155,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2156,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2157,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2158,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2159,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2160,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2161,a)]. 118.58/119.43 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2162,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2163,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2164,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2165,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2166,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2167,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2168,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2169,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2170,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2171,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2172,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2173,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2174,a)]. 118.58/119.48 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2175,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2176,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2177,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2178,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2179,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2180,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2181,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2182,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f250(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2183,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2184,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2185,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2186,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2187,a)]. 118.68/119.52 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2188,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2189,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f250(A,B) = f248(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2190,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2191,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2192,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2193,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2194,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2195,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2196,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f250(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2197,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2198,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2199,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2200,a)]. 118.68/119.57 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2201,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2202,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2203,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f248(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2204,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2205,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2206,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2207,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2208,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2209,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2210,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f247(A,B) = f246(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2211,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2241,e,2212,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2213,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2241,e,2214,a)]. 118.81/119.62 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2215,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2241,e,2216,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2241,e,2217,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) != f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2241,e,2218,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | in(C,f256(A,B)). [resolve(2241,e,2219,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -element(C,powerset(the_carrier(A))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f256(A,B)). [resolve(2241,e,2220,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f256(A,B),powerset(powerset(the_carrier(A)))). [resolve(2241,e,2221,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -open_subset(B,A) | closed_subset(subset_complement(the_carrier(A),B),A). [resolve(2241,e,2222,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f278(A),powerset(powerset(the_carrier(A)))) | compact_top_space(A). [resolve(2241,e,2223,b)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subsets(f278(A),A) | compact_top_space(A). [resolve(2241,e,2224,b)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | meet_of_subsets(the_carrier(A),f278(A)) = empty_set | compact_top_space(A). [resolve(2241,e,2225,b)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | centered(f278(A)) | compact_top_space(A). [resolve(2241,e,2226,b)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subsets(B,A) | meet_of_subsets(the_carrier(A),B) != empty_set | -centered(B) | -compact_top_space(A). [resolve(2241,e,2227,b)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | closed_subset(cast_as_carrier_subset(A),A). [resolve(2241,e,2228,a)]. 118.82/119.67 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | -point_neighbourhood(C,A,B) | element(C,powerset(the_carrier(A))). [resolve(2241,e,2229,d)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | open_subset(f314(A),A). [resolve(2241,e,2230,b)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | closed_subset(f314(A),A). [resolve(2241,e,2231,b)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | element(f314(A),powerset(the_carrier(A))). [resolve(2241,e,2232,b)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | -open_subset(D,B) | interior(B,D) = D. [resolve(2241,e,2233,a)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -top_str(B) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(B))) | interior(A,C) != C | open_subset(C,A). [resolve(2241,e,2234,a)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | element(f325(A,B),powerset(the_carrier(A))) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2241,e,2235,b)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(f325(A,B),B) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2241,e,2236,b)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | subset(f361(A),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -closed_subset(f325(A,B),A) | closed_subset(meet_of_subsets(the_carrier(A),B),A). [resolve(2241,e,2237,b)]. 118.82/119.71 2242 -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | topological_space(A) # label(d1_pre_topc) # label(axiom). [clausify(590)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2242,e,2093,c)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2242,e,2094,c)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2242,e,2095,c)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f45(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2242,e,2096,c)]. 118.82/119.71 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2242,e,2097,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2242,e,2098,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2242,e,2099,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) = f44(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2242,e,2100,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2242,e,2101,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2242,e,2102,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2242,e,2103,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f46(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2242,e,2104,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2242,e,2105,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2242,e,2106,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2242,e,2107,c)]. 118.93/119.76 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),f45(A,B)),B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2242,e,2108,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | f48(A,B,C) = C. [resolve(2242,e,2109,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(set_difference(cast_as_carrier_subset(A),C),B). [resolve(2242,e,2110,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | -in(C,f47(A,B)) | in(f48(A,B,C),powerset(the_carrier(A))). [resolve(2242,e,2111,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | f46(A,B) != f45(A,B) | in(C,f47(A,B)) | D != C | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(D,powerset(the_carrier(A))). [resolve(2242,e,2112,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | topstr_closure(A,B) != B | closed_subset(B,A). [resolve(2242,e,2113,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | closed_subset(f62(A),A). [resolve(2242,e,2114,a)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -empty(f62(A)). [resolve(2242,e,2115,a)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | element(f62(A),powerset(the_carrier(A))). [resolve(2242,e,2116,a)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | closed_subset(f63(A),A). [resolve(2242,e,2117,b)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | element(f63(A),powerset(the_carrier(A))). [resolve(2242,e,2118,b)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f103(A,B),powerset(powerset(the_carrier(A)))). [resolve(2242,e,2119,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != C | -subset(B,C) | -closed_subset(D,A) | in(C,f103(A,B)). [resolve(2242,e,2120,c)]. 119.00/119.80 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | element(f104(A,B,C),powerset(the_carrier(A))) | -in(C,f103(A,B)). [resolve(2242,e,2121,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | f104(A,B,C) = C | -in(C,f103(A,B)). [resolve(2242,e,2122,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | subset(B,C) | -in(C,f103(A,B)). [resolve(2242,e,2123,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -element(C,powerset(the_carrier(A))) | closed_subset(f104(A,B,C),A) | -in(C,f103(A,B)). [resolve(2242,e,2124,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | open_subset(f167(A),A). [resolve(2242,e,2125,a)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | element(f167(A),powerset(the_carrier(A))). [resolve(2242,e,2126,a)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | -in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,powerset(the_carrier(A))) | in(C,f168(A,B)). [resolve(2242,e,2127,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(set_difference(cast_as_carrier_subset(A),C),B) | -in(C,f168(A,B)). [resolve(2242,e,2128,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(powerset(the_carrier(A)))) | in(C,powerset(the_carrier(A))) | -in(C,f168(A,B)). [resolve(2242,e,2129,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(topstr_closure(A,B),A). [resolve(2242,e,2130,c)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | open_subset(interior(A,B),A). [resolve(2242,e,2131,a)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | empty_carrier(A) | -top_str(A) | -element(B,the_carrier(A)) | point_neighbourhood(f203(A,B),A,B). [resolve(2242,e,2132,b)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | -closed_subset(C,A) | -subset(B,D) | C != D | -element(C,powerset(the_carrier(A))) | -in(D,powerset(the_carrier(A))) | in(D,f204(A,B)). [resolve(2242,e,2133,a)]. 119.00/119.84 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f205(A,B,C),A) | -in(C,f204(A,B)). [resolve(2242,e,2134,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,C) | -in(C,f204(A,B)). [resolve(2242,e,2135,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f205(A,B,C) = C | -in(C,f204(A,B)). [resolve(2242,e,2136,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f205(A,B,C),powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2242,e,2137,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | -element(B,powerset(the_carrier(A))) | in(C,powerset(the_carrier(A))) | -in(C,f204(A,B)). [resolve(2242,e,2138,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | -in(B,interior(A,C)) | point_neighbourhood(C,A,B). [resolve(2242,e,2139,b)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -top_str(A) | empty_carrier(A) | -element(B,the_carrier(A)) | -element(C,powerset(the_carrier(A))) | in(B,interior(A,C)) | -point_neighbourhood(C,A,B). [resolve(2242,e,2140,b)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2242,e,2142,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2143,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2144,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2145,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2242,e,2146,a)]. 119.08/119.89 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | subset(B,C) | -in(C,f251(A,B)). [resolve(2242,e,2147,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | element(f249(A,B),powerset(the_carrier(A))) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2148,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2242,e,2149,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2150,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2151,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2152,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2242,e,2153,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | subset(B,C) | -in(C,f251(A,B)). [resolve(2242,e,2154,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | subset(B,f247(A,B)) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2155,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2242,e,2156,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2157,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2158,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2159,a)]. 119.08/119.94 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2242,e,2160,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | subset(B,C) | -in(C,f251(A,B)). [resolve(2242,e,2161,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | closed_subset(f249(A,B),A) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2162,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2242,e,2163,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2164,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | element(f253(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2165,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f253(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2166,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | closed_subset(f253(A,B,C),A) | -in(C,f251(A,B)). [resolve(2242,e,2167,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | subset(B,C) | -in(C,f251(A,B)). [resolve(2242,e,2168,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f249(A,B) = f247(A,B) | f252(A,B,C) = C | -in(C,f251(A,B)). [resolve(2242,e,2169,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | -in(C,powerset(the_carrier(A))) | -element(D,powerset(the_carrier(A))) | D != E | -closed_subset(D,A) | -subset(B,E) | C != E | in(E,f251(A,B)). [resolve(2242,e,2170,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | element(f360(A),powerset(the_carrier(A))) | -in(union_of_subsets(the_carrier(A),f361(A)),the_topology(A)) | -element(B,powerset(the_carrier(A))) | -top_str(A) | f248(A,B) = f246(A,B) | in(f252(A,B,C),powerset(the_carrier(A))) | -in(C,f251(A,B)). [resolve(2242,e,2171,a)]. 119.18/119.98 Derived: -top_str(A) | -in(the_carrier(A),the_topology(A)) | elAlarm clock 119.22/120.02 Prover9 interrupted 119.22/120.02 EOF