%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU388+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:36 AM UTC 2026 % Result : Theorem 1.62s 1.84s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU388+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:07:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.42/0.69 %----Proving TF0_NAR, FOF, or CNF % 1.62/1.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.84 % SZS status Theorem % 1.62/1.84 % SZS output start Proof % 1.62/1.84 ( % 1.62/1.84 (declare-sort $$unsorted 0) % 1.62/1.84 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.dense (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.lower_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.centered (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.a_2_0_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.apply_on_set_and_struct2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.preimage_subnetstr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.function_invverse_img_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.function_of_composition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.neighborhood_system (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.a_3_0_waybel_9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.lattice (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.top_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.apply_on_set_and_struct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.omega $$unsorted) % 1.62/1.84 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.function (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.is_a_cluster_point_of_netstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.84 (declare-const tptp.empty_set $$unsorted) % 1.62/1.84 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.62/1.84 (define @t1 () (@var "A" $$unsorted)) % 1.62/1.84 (define @t2 () (tptp.the_InternalRel @t1)) % 1.62/1.84 (define @t3 () (tptp.the_carrier @t1)) % 1.62/1.84 (define @t4 () (tptp.strict_rel_str @t1)) % 1.62/1.84 (define @t5 () (tptp.rel_str @t1)) % 1.62/1.84 (define @t6 () (@list @t1)) % 1.62/1.84 (define @t7 () (tptp.the_L_meet @t1)) % 1.62/1.84 (define @t8 () (tptp.the_L_join @t1)) % 1.62/1.84 (define @t9 () (tptp.strict_latt_str @t1)) % 1.62/1.84 (define @t10 () (tptp.latt_str @t1)) % 1.62/1.84 (define @t11 () (@var "B" $$unsorted)) % 1.62/1.84 (define @t12 () (tptp.the_mapping @t1 @t11)) % 1.62/1.84 (define @t13 () (tptp.the_InternalRel @t11)) % 1.62/1.84 (define @t14 () (tptp.the_carrier @t11)) % 1.62/1.84 (define @t15 () (tptp.strict_net_str @t11 @t1)) % 1.62/1.84 (define @t16 () (tptp.net_str @t11 @t1)) % 1.62/1.84 (define @t17 () (tptp.one_sorted_str @t1)) % 1.62/1.84 (define @t18 () (and @t17 @t16)) % 1.62/1.84 (define @t19 () (@list @t1 @t11)) % 1.62/1.84 (define @t20 () (tptp.in @t11 @t1)) % 1.62/1.84 (define @t21 () (not @t20)) % 1.62/1.84 (define @t22 () (tptp.in @t1 @t11)) % 1.62/1.84 (define @t23 () (tptp.proper_subset @t11 @t1)) % 1.62/1.84 (define @t24 () (tptp.proper_subset @t1 @t11)) % 1.62/1.84 (define @t25 () (tptp.v1_xcmplx_0 @t11)) % 1.62/1.84 (define @t26 () (tptp.element @t11 @t1)) % 1.62/1.84 (define @t27 () (@list @t11)) % 1.62/1.84 (define @t28 () (tptp.v1_membered @t1)) % 1.62/1.84 (define @t29 () (tptp.join_complete_relstr @t1)) % 1.62/1.84 (define @t30 () (tptp.up_complete_relstr @t1)) % 1.62/1.84 (define @t31 () (tptp.reflexive_relstr @t1)) % 1.62/1.84 (define @t32 () (tptp.empty_carrier @t1)) % 1.62/1.84 (define @t33 () (not @t32)) % 1.62/1.84 (define @t34 () (tptp.complete_relstr @t1)) % 1.62/1.84 (define @t35 () (tptp.heyting_relstr @t1)) % 1.62/1.84 (define @t36 () (tptp.distributive_relstr @t1)) % 1.62/1.84 (define @t37 () (tptp.upper_bounded_relstr @t1)) % 1.62/1.84 (define @t38 () (tptp.with_infima_relstr @t1)) % 1.62/1.84 (define @t39 () (tptp.with_suprema_relstr @t1)) % 1.62/1.84 (define @t40 () (tptp.antisymmetric_relstr @t1)) % 1.62/1.84 (define @t41 () (tptp.transitive_relstr @t1)) % 1.62/1.84 (define @t42 () (tptp.boolean_relstr @t1)) % 1.62/1.84 (define @t43 () (and @t33 @t42)) % 1.62/1.84 (define @t44 () (tptp.v1_xreal_0 @t11)) % 1.62/1.84 (define @t45 () (tptp.v2_membered @t1)) % 1.62/1.84 (define @t46 () (tptp.lower_bounded_relstr @t1)) % 1.62/1.84 (define @t47 () (tptp.v1_rat_1 @t11)) % 1.62/1.84 (define @t48 () (tptp.v3_membered @t1)) % 1.62/1.84 (define @t49 () (tptp.bounded_relstr @t1)) % 1.62/1.84 (define @t50 () (tptp.v1_int_1 @t11)) % 1.62/1.84 (define @t51 () (tptp.v4_membered @t1)) % 1.62/1.84 (define @t52 () (tptp.natural @t11)) % 1.62/1.84 (define @t53 () (tptp.v5_membered @t1)) % 1.62/1.84 (define @t54 () (tptp.empty @t1)) % 1.62/1.84 (define @t55 () (tptp.v1_membered @t11)) % 1.62/1.84 (define @t56 () (tptp.powerset @t1)) % 1.62/1.84 (define @t57 () (tptp.element @t11 @t56)) % 1.62/1.84 (define @t58 () (tptp.v2_membered @t11)) % 1.62/1.84 (define @t59 () (tptp.v3_membered @t11)) % 1.62/1.84 (define @t60 () (tptp.v4_membered @t11)) % 1.62/1.84 (define @t61 () (tptp.ordinal @t11)) % 1.62/1.84 (define @t62 () (tptp.epsilon_connected @t11)) % 1.62/1.84 (define @t63 () (tptp.epsilon_transitive @t11)) % 1.62/1.84 (define @t64 () (tptp.ordinal @t1)) % 1.62/1.84 (define @t65 () (tptp.finite @t1)) % 1.62/1.84 (define @t66 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 1.62/1.84 (define @t67 () (tptp.preboolean @t1)) % 1.62/1.84 (define @t68 () (tptp.function @t1)) % 1.62/1.84 (define @t69 () (@var "C" $$unsorted)) % 1.62/1.84 (define @t70 () (tptp.quasi_total @t69 @t1 @t11)) % 1.62/1.84 (define @t71 () (tptp.function @t69)) % 1.62/1.84 (define @t72 () (and @t71 @t70)) % 1.62/1.84 (define @t73 () (tptp.v1_partfun1 @t69 @t1 @t11)) % 1.62/1.84 (define @t74 () (tptp.relation_of2 @t69 @t1 @t11)) % 1.62/1.84 (define @t75 () (@list @t1 @t11 @t69)) % 1.62/1.84 (define @t76 () (tptp.bounded_lattstr @t1)) % 1.62/1.84 (define @t77 () (tptp.upper_bounded_semilattstr @t1)) % 1.62/1.84 (define @t78 () (tptp.lower_bounded_semilattstr @t1)) % 1.62/1.84 (define @t79 () (tptp.lattice @t1)) % 1.62/1.84 (define @t80 () (tptp.join_absorbing @t1)) % 1.62/1.84 (define @t81 () (tptp.meet_absorbing @t1)) % 1.62/1.84 (define @t82 () (tptp.meet_associative @t1)) % 1.62/1.84 (define @t83 () (tptp.meet_commutative @t1)) % 1.62/1.84 (define @t84 () (tptp.join_associative @t1)) % 1.62/1.84 (define @t85 () (tptp.join_commutative @t1)) % 1.62/1.84 (define @t86 () (tptp.complete_latt_str @t1)) % 1.62/1.84 (define @t87 () (and @t33 @t85 @t84 @t83 @t82 @t81 @t80)) % 1.62/1.84 (define @t88 () (and @t33 @t79)) % 1.62/1.84 (define @t89 () (tptp.epsilon_connected @t1)) % 1.62/1.84 (define @t90 () (tptp.epsilon_transitive @t1)) % 1.62/1.84 (define @t91 () (and @t90 @t89)) % 1.62/1.84 (define @t92 () (tptp.reflexive @t1)) % 1.62/1.84 (define @t93 () (tptp.relation @t1)) % 1.62/1.84 (define @t94 () (tptp.transitive @t1)) % 1.62/1.84 (define @t95 () (tptp.relation @t69)) % 1.62/1.84 (define @t96 () (tptp.cartesian_product2 @t1 @t11)) % 1.62/1.84 (define @t97 () (tptp.element @t69 (tptp.powerset @t96))) % 1.62/1.84 (define @t98 () (tptp.closed_subset @t11 @t1)) % 1.62/1.84 (define @t99 () (tptp.open_subset @t11 @t1)) % 1.62/1.84 (define @t100 () (tptp.empty @t11)) % 1.62/1.84 (define @t101 () (tptp.powerset @t3)) % 1.62/1.84 (define @t102 () (tptp.element @t11 @t101)) % 1.62/1.84 (define @t103 () (tptp.top_str @t1)) % 1.62/1.84 (define @t104 () (tptp.topological_space @t1)) % 1.62/1.84 (define @t105 () (and @t104 @t103)) % 1.62/1.84 (define @t106 () (tptp.filtered_subset @t11 @t1)) % 1.62/1.84 (define @t107 () (tptp.directed_subset @t11 @t1)) % 1.62/1.84 (define @t108 () (tptp.connected_relstr @t1)) % 1.62/1.84 (define @t109 () (and @t33 @t34)) % 1.62/1.84 (define @t110 () (tptp.v1_yellow_3 @t1)) % 1.62/1.84 (define @t111 () (tptp.v5_membered @t11)) % 1.62/1.84 (define @t112 () (tptp.natural @t1)) % 1.62/1.84 (define @t113 () (and @t90 @t89 @t64 @t112)) % 1.62/1.84 (define @t114 () (tptp.finite @t11)) % 1.62/1.84 (define @t115 () (tptp.one_to_one @t1)) % 1.62/1.84 (define @t116 () (and @t93 @t68 @t115)) % 1.62/1.84 (define @t117 () (and @t93 @t54 @t68)) % 1.62/1.84 (define @t118 () (tptp.one_to_one @t69)) % 1.62/1.84 (define @t119 () (and @t71 @t118 @t70 (tptp.onto @t69 @t1 @t11))) % 1.62/1.84 (define @t120 () (and @t71 @t70 (tptp.bijective @t69 @t1 @t11))) % 1.62/1.84 (define @t121 () (tptp.boundary_set @t11 @t1)) % 1.62/1.84 (define @t122 () (tptp.trivial_carrier @t1)) % 1.62/1.84 (define @t123 () (and @t33 @t31 @t122)) % 1.62/1.84 (define @t124 () (not @t110)) % 1.62/1.84 (define @t125 () (and @t33 @t76)) % 1.62/1.84 (define @t126 () (and @t33 @t78 @t77)) % 1.62/1.84 (define @t127 () (and @t90 @t89 @t64)) % 1.62/1.84 (define @t128 () (tptp.nowhere_dense @t11 @t1)) % 1.62/1.84 (define @t129 () (tptp.v2_waybel_3 @t1)) % 1.62/1.84 (define @t130 () (tptp.bijective @t11 @t1 @t1)) % 1.62/1.84 (define @t131 () (tptp.onto @t11 @t1 @t1)) % 1.62/1.84 (define @t132 () (tptp.quasi_total @t11 @t1 @t1)) % 1.62/1.84 (define @t133 () (tptp.one_to_one @t11)) % 1.62/1.84 (define @t134 () (tptp.function @t11)) % 1.62/1.84 (define @t135 () (tptp.reflexive @t11)) % 1.62/1.84 (define @t136 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 1.62/1.84 (define @t137 () (tptp.relation_of2 @t11 @t1 @t1)) % 1.62/1.84 (define @t138 () (tptp.v3_waybel_3 @t1)) % 1.62/1.84 (define @t139 () (and @t46 @t37)) % 1.62/1.84 (define @t140 () (@list @t69)) % 1.62/1.84 (define @t141 () (not @t100)) % 1.62/1.84 (define @t142 () (tptp.complemented_lattstr @t1)) % 1.62/1.84 (define @t143 () (tptp.distributive_lattstr @t1)) % 1.62/1.85 (define @t144 () (tptp.boolean_lattstr @t1)) % 1.62/1.85 (define @t145 () (and @t33 @t144)) % 1.62/1.85 (define @t146 () (and @t33 @t35)) % 1.62/1.85 (define @t147 () (tptp.empty @t69)) % 1.62/1.85 (define @t148 () (not @t54)) % 1.62/1.85 (define @t149 () (and @t148 @t141)) % 1.62/1.85 (define @t150 () (tptp.modular_lattstr @t1)) % 1.62/1.85 (define @t151 () (tptp.full_subrelstr @t11 @t1)) % 1.62/1.85 (define @t152 () (tptp.transitive_relstr @t11)) % 1.62/1.85 (define @t153 () (tptp.subrelstr @t11 @t1)) % 1.62/1.85 (define @t154 () (and @t41 @t5)) % 1.62/1.85 (define @t155 () (tptp.complemented_relstr @t1)) % 1.62/1.85 (define @t156 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t69)) % 1.62/1.85 (define @t157 () (tptp.element @t69 @t3)) % 1.62/1.85 (define @t158 () (tptp.element @t11 @t3)) % 1.62/1.85 (define @t159 () (and @t33 @t17 @t158 @t157)) % 1.62/1.85 (define @t160 () (tptp.unordered_pair @t1 @t11)) % 1.62/1.85 (define @t161 () (tptp.set_union2 @t11 @t1)) % 1.62/1.85 (define @t162 () (tptp.set_union2 @t1 @t11)) % 1.62/1.85 (define @t163 () (tptp.join_commut @t1 @t11 @t69)) % 1.62/1.85 (define @t164 () (tptp.join_semilatt_str @t1)) % 1.62/1.85 (define @t165 () (and @t33 @t85 @t164 @t158 @t157)) % 1.62/1.85 (define @t166 () (tptp.set_intersection2 @t11 @t1)) % 1.62/1.85 (define @t167 () (tptp.set_intersection2 @t1 @t11)) % 1.62/1.85 (define @t168 () (tptp.meet_commut @t1 @t11 @t69)) % 1.62/1.85 (define @t169 () (tptp.meet_semilatt_str @t1)) % 1.62/1.85 (define @t170 () (and @t33 @t83 @t169 @t158 @t157)) % 1.62/1.85 (define @t171 () (tptp.subset_union2 @t1 @t11 @t69)) % 1.62/1.85 (define @t172 () (tptp.element @t69 @t56)) % 1.62/1.85 (define @t173 () (and @t57 @t172)) % 1.62/1.85 (define @t174 () (tptp.subset_intersection2 @t1 @t11 @t69)) % 1.62/1.85 (define @t175 () (tptp.ordinal_subset @t1 @t11)) % 1.62/1.85 (define @t176 () (and @t64 @t61)) % 1.62/1.85 (define @t177 () (@var "D" $$unsorted)) % 1.62/1.85 (define @t178 () (= @t69 @t177)) % 1.62/1.85 (define @t179 () (tptp.in @t69 @t1)) % 1.62/1.85 (define @t180 () (tptp.ordered_pair @t69 @t177)) % 1.62/1.85 (define @t181 () (tptp.in @t180 @t11)) % 1.62/1.85 (define @t182 () (@list @t69 @t177)) % 1.62/1.85 (define @t183 () (tptp.identity_relation @t1)) % 1.62/1.85 (define @t184 () (= @t11 @t183)) % 1.62/1.85 (define @t185 () (tptp.relation @t11)) % 1.62/1.85 (define @t186 () (tptp.subset @t11 @t1)) % 1.62/1.85 (define @t187 () (tptp.subset @t1 @t11)) % 1.62/1.85 (define @t188 () (= @t1 @t11)) % 1.62/1.85 (define @t189 () (tptp.related @t1 @t177 @t69)) % 1.62/1.85 (define @t190 () (tptp.relstr_element_smaller @t1 @t11 @t177)) % 1.62/1.85 (define @t191 () (tptp.element @t177 @t3)) % 1.62/1.85 (define @t192 () (@list @t177)) % 1.62/1.85 (define @t193 () (forall @t192 (=> @t191 (=> @t190 @t189)))) % 1.62/1.85 (define @t194 () (tptp.relstr_element_smaller @t1 @t11 @t69)) % 1.62/1.85 (define @t195 () (tptp.meet_on_relstr @t1 @t11)) % 1.62/1.85 (define @t196 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 1.62/1.85 (define @t197 () (@list @t11 @t69)) % 1.62/1.85 (define @t198 () (tptp.identity_on_carrier @t1)) % 1.62/1.85 (define @t199 () (@var "E" $$unsorted)) % 1.62/1.85 (define @t200 () (tptp.ordered_pair @t177 @t199)) % 1.62/1.85 (define @t201 () (tptp.in @t200 @t1)) % 1.62/1.85 (define @t202 () (tptp.in @t177 @t11)) % 1.62/1.85 (define @t203 () (tptp.in @t200 @t69)) % 1.62/1.85 (define @t204 () (@list @t177 @t199)) % 1.62/1.85 (define @t205 () (tptp.relation_dom_restriction @t1 @t11)) % 1.62/1.85 (define @t206 () (tptp.in (tptp.apply_netmap @t1 @t11 @t199) @t69)) % 1.62/1.85 (define @t207 () (tptp.related @t11 @t177 @t199)) % 1.62/1.85 (define @t208 () (tptp.element @t199 @t14)) % 1.62/1.85 (define @t209 () (@list @t199)) % 1.62/1.85 (define @t210 () (tptp.element @t177 @t14)) % 1.62/1.85 (define @t211 () (tptp.is_eventually_in @t1 @t11 @t69)) % 1.62/1.85 (define @t212 () (tptp.empty_carrier @t11)) % 1.62/1.85 (define @t213 () (not @t212)) % 1.62/1.85 (define @t214 () (and @t213 @t16)) % 1.62/1.85 (define @t215 () (and @t33 @t17)) % 1.62/1.85 (define @t216 () (tptp.bottom_of_relstr @t1)) % 1.62/1.85 (define @t217 () (tptp.in @t199 @t11)) % 1.62/1.85 (define @t218 () (tptp.relation_dom @t1)) % 1.62/1.85 (define @t219 () (tptp.in @t177 @t69)) % 1.62/1.85 (define @t220 () (tptp.relation_image @t1 @t11)) % 1.62/1.85 (define @t221 () (= @t69 @t220)) % 1.62/1.85 (define @t222 () (and @t93 @t68)) % 1.62/1.85 (define @t223 () (tptp.in @t199 @t1)) % 1.62/1.85 (define @t224 () (tptp.relation_rng_restriction @t1 @t11)) % 1.62/1.85 (define @t225 () (tptp.relation_field @t1)) % 1.62/1.85 (define @t226 () (tptp.antisymmetric @t1)) % 1.62/1.85 (define @t227 () (tptp.is_often_in @t1 @t11 @t69)) % 1.62/1.85 (define @t228 () (@var "G" $$unsorted)) % 1.62/1.85 (define @t229 () (tptp.the_carrier @t69)) % 1.62/1.85 (define @t230 () (@var "F" $$unsorted)) % 1.62/1.85 (define @t231 () (tptp.related @t69 @t230 @t228)) % 1.62/1.85 (define @t232 () (tptp.element @t228 @t229)) % 1.62/1.85 (define @t233 () (@list @t228)) % 1.62/1.85 (define @t234 () (tptp.element @t230 @t229)) % 1.62/1.85 (define @t235 () (@list @t230)) % 1.62/1.85 (define @t236 () (tptp.the_mapping @t1 @t69)) % 1.62/1.85 (define @t237 () (tptp.function @t177)) % 1.62/1.85 (define @t238 () (tptp.subnet @t69 @t1 @t11)) % 1.62/1.85 (define @t239 () (tptp.net_str @t69 @t1)) % 1.62/1.85 (define @t240 () (not (tptp.empty_carrier @t69))) % 1.62/1.85 (define @t241 () (and @t240 (tptp.transitive_relstr @t69) (tptp.directed_relstr @t69) @t239)) % 1.62/1.85 (define @t242 () (tptp.directed_relstr @t11)) % 1.62/1.85 (define @t243 () (and @t213 @t152 @t242 @t16)) % 1.62/1.85 (define @t244 () (tptp.apply @t1 @t177)) % 1.62/1.85 (define @t245 () (tptp.in @t177 @t218)) % 1.62/1.85 (define @t246 () (= @t69 (tptp.relation_inverse_image @t1 @t11))) % 1.62/1.85 (define @t247 () (tptp.meet @t1 @t11 @t69)) % 1.62/1.85 (define @t248 () (forall @t140 (=> @t157 (and (= @t247 @t11) (= (tptp.meet @t1 @t69 @t11) @t11))))) % 1.62/1.85 (define @t249 () (and @t33 @t169)) % 1.62/1.85 (define @t250 () (tptp.element @t199 @t101)) % 1.62/1.85 (define @t251 () (tptp.topstr_closure @t1 @t11)) % 1.62/1.85 (define @t252 () (tptp.element @t69 @t101)) % 1.62/1.85 (define @t253 () (tptp.ordered_pair @t199 @t177)) % 1.62/1.85 (define @t254 () (tptp.rel_str @t11)) % 1.62/1.85 (define @t255 () (tptp.the_carrier @t177)) % 1.62/1.85 (define @t256 () (tptp.preimage_subnetstr @t1 @t11 @t69)) % 1.62/1.85 (define @t257 () (= @t177 @t256)) % 1.62/1.85 (define @t258 () (tptp.strict_net_str @t177 @t1)) % 1.62/1.85 (define @t259 () (tptp.connected @t1)) % 1.62/1.85 (define @t260 () (tptp.latt_set_smaller @t1 @t11 @t69)) % 1.62/1.85 (define @t261 () (and @t33 @t10)) % 1.62/1.85 (define @t262 () (tptp.bottom_of_semilattstr @t1)) % 1.62/1.85 (define @t263 () (tptp.lim_points_of_net @t1 @t11)) % 1.62/1.85 (define @t264 () (and @t33 @t104 @t103)) % 1.62/1.85 (define @t265 () (tptp.ordered_pair @t11 @t69)) % 1.62/1.85 (define @t266 () (tptp.interior @t1 @t69)) % 1.62/1.85 (define @t267 () (tptp.point_neighbourhood @t69 @t1 @t11)) % 1.62/1.85 (define @t268 () (= @t199 @t69)) % 1.62/1.85 (define @t269 () (tptp.in @t199 @t177)) % 1.62/1.85 (define @t270 () (@list @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t271 () (tptp.relation_dom @t11)) % 1.62/1.85 (define @t272 () (tptp.relation_rng @t11)) % 1.62/1.85 (define @t273 () (tptp.in (tptp.ordered_pair @t11 @t177) @t1)) % 1.62/1.85 (define @t274 () (tptp.in @t265 @t1)) % 1.62/1.85 (define @t275 () (@list @t11 @t69 @t177)) % 1.62/1.85 (define @t276 () (= @t69 tptp.empty_set)) % 1.62/1.85 (define @t277 () (= @t1 tptp.empty_set)) % 1.62/1.85 (define @t278 () (= @t11 tptp.empty_set)) % 1.62/1.85 (define @t279 () (tptp.relation_dom_as_subset @t1 @t11 @t69)) % 1.62/1.85 (define @t280 () (tptp.relation_of2_as_subset @t69 @t1 @t11)) % 1.62/1.85 (define @t281 () (tptp.element @t177 @t56)) % 1.62/1.85 (define @t282 () (tptp.boole_lattice @t1)) % 1.62/1.85 (define @t283 () (tptp.latt_str @t11)) % 1.62/1.85 (define @t284 () (tptp.join @t1 @t11 @t69)) % 1.62/1.85 (define @t285 () (and @t33 @t164)) % 1.62/1.85 (define @t286 () (= @t11 @t69)) % 1.62/1.85 (define @t287 () (= @t1 @t180)) % 1.62/1.85 (define @t288 () (exists @t197 (= @t1 @t265))) % 1.62/1.85 (define @t289 () (tptp.singleton @t1)) % 1.62/1.85 (define @t290 () (tptp.succ @t1)) % 1.62/1.85 (define @t291 () (tptp.the_topology @t1)) % 1.62/1.85 (define @t292 () (tptp.in @t11 @t291)) % 1.62/1.85 (define @t293 () (tptp.union_of_subsets @t3 @t11)) % 1.62/1.85 (define @t294 () (tptp.powerset @t101)) % 1.62/1.85 (define @t295 () (tptp.element @t11 @t294)) % 1.62/1.85 (define @t296 () (tptp.in @t69 @t11)) % 1.62/1.85 (define @t297 () (tptp.is_reflexive_in @t1 @t11)) % 1.62/1.85 (define @t298 () (= @t11 (tptp.set_meet @t1))) % 1.62/1.85 (define @t299 () (tptp.in @t69 @t177)) % 1.62/1.85 (define @t300 () (tptp.in @t177 @t1)) % 1.62/1.85 (define @t301 () (not @t277)) % 1.62/1.85 (define @t302 () (tptp.empty @t3)) % 1.62/1.85 (define @t303 () (tptp.subset_complement @t3 @t11)) % 1.62/1.85 (define @t304 () (tptp.interior @t1 @t11)) % 1.62/1.85 (define @t305 () (tptp.open_subset @t69 @t1)) % 1.62/1.85 (define @t306 () (tptp.open_subsets @t11 @t1)) % 1.62/1.85 (define @t307 () (tptp.related @t1 @t177 @t199)) % 1.62/1.85 (define @t308 () (tptp.element @t199 @t3)) % 1.62/1.85 (define @t309 () (= @t177 @t11)) % 1.62/1.85 (define @t310 () (tptp.subset @t69 @t177)) % 1.62/1.85 (define @t311 () (tptp.relation_field @t11)) % 1.62/1.85 (define @t312 () (tptp.inclusion_relation @t1)) % 1.62/1.85 (define @t313 () (tptp.neighborhood_system @t1 @t11)) % 1.62/1.85 (define @t314 () (= @t313 (tptp.a_2_0_yellow19 @t1 @t11))) % 1.62/1.85 (define @t315 () (forall @t27 (=> @t158 @t314))) % 1.62/1.85 (define @t316 () (=> @t264 @t315)) % 1.62/1.85 (define @t317 () (forall @t6 @t316)) % 1.62/1.85 (define @t318 () (tptp.inclusion_order @t1)) % 1.62/1.85 (define @t319 () (tptp.incl_POSet @t1)) % 1.62/1.85 (define @t320 () (tptp.related @t1 @t69 @t177)) % 1.62/1.85 (define @t321 () (tptp.upper_relstr_subset @t11 @t1)) % 1.62/1.85 (define @t322 () (tptp.join_of_latt_set @t1 @t11)) % 1.62/1.85 (define @t323 () (and @t33 @t79 @t86 @t10)) % 1.62/1.85 (define @t324 () (tptp.meet_of_latt_set @t1 @t11)) % 1.62/1.85 (define @t325 () (tptp.set_meet @t11)) % 1.62/1.85 (define @t326 () (not @t278)) % 1.62/1.85 (define @t327 () (tptp.k2_lattice3 @t1)) % 1.62/1.85 (define @t328 () (tptp.poset_of_lattice @t1)) % 1.62/1.85 (define @t329 () (and @t33 @t79 @t10)) % 1.62/1.85 (define @t330 () (= @t11 @t177)) % 1.62/1.85 (define @t331 () (tptp.empty_carrier_subset @t1)) % 1.62/1.85 (define @t332 () (tptp.in @t180 @t1)) % 1.62/1.85 (define @t333 () (= @t177 @t1)) % 1.62/1.85 (define @t334 () (tptp.union @t1)) % 1.62/1.85 (define @t335 () (= @t11 @t334)) % 1.62/1.85 (define @t336 () (forall @t140 (=> @t252 (=> @t296 (tptp.closed_subset @t69 @t1))))) % 1.62/1.85 (define @t337 () (tptp.closed_subsets @t11 @t1)) % 1.62/1.85 (define @t338 () (tptp.well_founded_relation @t1)) % 1.62/1.85 (define @t339 () (tptp.related @t1 @t11 @t177)) % 1.62/1.85 (define @t340 () (tptp.related @t1 @t11 @t69)) % 1.62/1.85 (define @t341 () (forall @t27 (=> @t158 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (=> (and @t340 @t320) @t339)))))))) % 1.62/1.85 (define @t342 () (tptp.boole_POSet @t1)) % 1.62/1.85 (define @t343 () (tptp.ordered_pair @t199 @t230)) % 1.62/1.85 (define @t344 () (tptp.in @t230 @t11)) % 1.62/1.85 (define @t345 () (@list @t199 @t230)) % 1.62/1.85 (define @t346 () (tptp.finite @t69)) % 1.62/1.85 (define @t347 () (tptp.subset @t69 @t11)) % 1.62/1.85 (define @t348 () (tptp.element @t69 @t294)) % 1.62/1.85 (define @t349 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 1.62/1.85 (define @t350 () (tptp.compact_top_space @t1)) % 1.62/1.85 (define @t351 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 1.62/1.85 (define @t352 () (tptp.below @t1 @t11 @t69)) % 1.62/1.85 (define @t353 () (not @t296)) % 1.62/1.85 (define @t354 () (not @t286)) % 1.62/1.85 (define @t355 () (tptp.in @t11 @t69)) % 1.62/1.85 (define @t356 () (tptp.cast_as_carrier_subset @t1)) % 1.62/1.85 (define @t357 () (forall @t140 (=> @t179 @t296))) % 1.62/1.85 (define @t358 () (not @t276)) % 1.62/1.85 (define @t359 () (tptp.is_well_founded_in @t1 @t11)) % 1.62/1.85 (define @t360 () (tptp.apply @t1 @t11)) % 1.62/1.85 (define @t361 () (= @t69 @t360)) % 1.62/1.85 (define @t362 () (tptp.in @t11 @t218)) % 1.62/1.85 (define @t363 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 1.62/1.85 (define @t364 () (tptp.the_carrier @t328)) % 1.62/1.85 (define @t365 () (tptp.element @t11 @t364)) % 1.62/1.85 (define @t366 () (tptp.in (tptp.ordered_pair @t177 @t69) @t1)) % 1.62/1.85 (define @t367 () (tptp.is_antisymmetric_in @t1 @t11)) % 1.62/1.85 (define @t368 () (tptp.cast_to_subset @t1)) % 1.62/1.85 (define @t369 () (tptp.well_ordering @t1)) % 1.62/1.85 (define @t370 () (tptp.relation_rng @t69)) % 1.62/1.85 (define @t371 () (tptp.relation_dom @t69)) % 1.62/1.85 (define @t372 () (= @t371 @t1)) % 1.62/1.85 (define @t373 () (tptp.equipotent @t1 @t11)) % 1.62/1.85 (define @t374 () (tptp.set_difference @t1 @t11)) % 1.62/1.85 (define @t375 () (and @t245 (= @t69 @t244))) % 1.62/1.85 (define @t376 () (tptp.relation_rng @t1)) % 1.62/1.85 (define @t377 () (= @t11 @t376)) % 1.62/1.85 (define @t378 () (tptp.being_limit_ordinal @t1)) % 1.62/1.85 (define @t379 () (tptp.subset_complement @t1 @t11)) % 1.62/1.85 (define @t380 () (tptp.ordered_pair @t1 @t11)) % 1.62/1.85 (define @t381 () (tptp.is_connected_in @t1 @t11)) % 1.62/1.85 (define @t382 () (tptp.is_transitive_in @t1 @t11)) % 1.62/1.85 (define @t383 () (tptp.directed_relstr @t1)) % 1.62/1.85 (define @t384 () (and @t33 @t5)) % 1.62/1.85 (define @t385 () (tptp.subset_difference @t3 @t356 @t11)) % 1.62/1.85 (define @t386 () (tptp.cartesian_product2 @t11 @t11)) % 1.62/1.85 (define @t387 () (tptp.relation_restriction @t1 @t11)) % 1.62/1.85 (define @t388 () (tptp.relation_inverse @t1)) % 1.62/1.85 (define @t389 () (= @t230 @t199)) % 1.62/1.85 (define @t390 () (tptp.element @t230 @t14)) % 1.62/1.85 (define @t391 () (tptp.netstr_restr_to_element @t1 @t11 @t69)) % 1.62/1.85 (define @t392 () (tptp.element @t69 @t14)) % 1.62/1.85 (define @t393 () (tptp.apply @t69 @t199)) % 1.62/1.85 (define @t394 () (tptp.apply @t69 @t177)) % 1.62/1.85 (define @t395 () (tptp.relation_isomorphism @t1 @t11 @t69)) % 1.62/1.85 (define @t396 () (and @t95 @t71)) % 1.62/1.85 (define @t397 () (tptp.disjoint @t1 @t11)) % 1.62/1.85 (define @t398 () (= @t177 @t69)) % 1.62/1.85 (define @t399 () (tptp.relstr_set_smaller @t1 @t11 @t177)) % 1.62/1.85 (define @t400 () (forall @t192 (=> @t191 (=> @t399 @t320)))) % 1.62/1.85 (define @t401 () (tptp.relstr_set_smaller @t1 @t11 @t69)) % 1.62/1.85 (define @t402 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 1.62/1.85 (define @t403 () (tptp.relation_of_lattice @t1)) % 1.62/1.85 (define @t404 () (tptp.relation_composition @t1 @t11)) % 1.62/1.85 (define @t405 () (@list @t69 @t177 @t199)) % 1.62/1.85 (define @t406 () (tptp.complements_of_subsets @t1 @t11)) % 1.62/1.85 (define @t407 () (tptp.powerset @t56)) % 1.62/1.85 (define @t408 () (tptp.element @t11 @t407)) % 1.62/1.85 (define @t409 () (tptp.apply_netmap @t1 @t11 @t69)) % 1.62/1.85 (define @t410 () (not @t188)) % 1.62/1.85 (define @t411 () (tptp.subrelstr @t69 @t11)) % 1.62/1.85 (define @t412 () (tptp.subnetstr @t69 @t1 @t11)) % 1.62/1.85 (define @t413 () (tptp.function_inverse @t1)) % 1.62/1.85 (define @t414 () (tptp.is_often_in @t1 @t11 @t177)) % 1.62/1.85 (define @t415 () (tptp.point_neighbourhood @t177 @t1 @t69)) % 1.62/1.85 (define @t416 () (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t69)) % 1.62/1.85 (define @t417 () (tptp.join_on_relstr @t1 @t11)) % 1.62/1.85 (define @t418 () (tptp.full_subnetstr @t69 @t1 @t11)) % 1.62/1.85 (define @t419 () (tptp.rel_str_of @t1 @t11)) % 1.62/1.85 (define @t420 () (tptp.strict_rel_str @t419)) % 1.62/1.85 (define @t421 () (tptp.net_str_of @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t422 () (tptp.strict_net_str @t421 @t1)) % 1.62/1.85 (define @t423 () (tptp.relation_of2 @t177 @t11 @t3)) % 1.62/1.85 (define @t424 () (tptp.quasi_total @t177 @t11 @t3)) % 1.62/1.85 (define @t425 () (tptp.relation_of2 @t69 @t11 @t11)) % 1.62/1.85 (define @t426 () (and @t17 @t425 @t237 @t424 @t423)) % 1.62/1.85 (define @t427 () (tptp.latt_str_of @t1 @t11 @t69)) % 1.62/1.85 (define @t428 () (tptp.strict_latt_str @t427)) % 1.62/1.85 (define @t429 () (tptp.cartesian_product2 @t1 @t1)) % 1.62/1.85 (define @t430 () (tptp.relation_of2 @t69 @t429 @t1)) % 1.62/1.85 (define @t431 () (tptp.quasi_total @t69 @t429 @t1)) % 1.62/1.85 (define @t432 () (tptp.relation_of2 @t11 @t429 @t1)) % 1.62/1.85 (define @t433 () (tptp.quasi_total @t11 @t429 @t1)) % 1.62/1.85 (define @t434 () (and @t134 @t433 @t432 @t71 @t431 @t430)) % 1.62/1.85 (define @t435 () (tptp.k8_filter_1 @t1 @t11)) % 1.62/1.85 (define @t436 () (tptp.k10_filter_1 @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t437 () (tptp.lattice @t11)) % 1.62/1.85 (define @t438 () (and @t33 @t79 @t10 @t213 @t437 @t283 @t157 @t210)) % 1.62/1.85 (define @t439 () (tptp.ordered_pair_as_product_element @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t440 () (tptp.element @t69 @t1)) % 1.62/1.85 (define @t441 () (and @t148 @t141 @t440 (tptp.element @t177 @t11))) % 1.62/1.85 (define @t442 () (tptp.strict_latt_str @t282)) % 1.62/1.85 (define @t443 () (tptp.k1_pcomps_1 @t1)) % 1.62/1.85 (define @t444 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 1.62/1.85 (define @t445 () (and @t103 @t102)) % 1.62/1.85 (define @t446 () (tptp.apply_on_structs @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t447 () (tptp.relation_of2 @t69 @t3 @t14)) % 1.62/1.85 (define @t448 () (tptp.quasi_total @t69 @t3 @t14)) % 1.62/1.85 (define @t449 () (tptp.one_sorted_str @t11)) % 1.62/1.85 (define @t450 () (and @t33 @t17 @t213 @t449 @t71 @t448 @t447 @t191)) % 1.62/1.85 (define @t451 () (and @t33 @t104 @t103 @t158)) % 1.62/1.85 (define @t452 () (tptp.apply_binary_as_element @t1 @t11 @t69 @t177 @t199 @t230)) % 1.62/1.85 (define @t453 () (and @t148 @t141 @t237 (tptp.quasi_total @t177 @t96 @t69) (tptp.relation_of2 @t177 @t96 @t69) (tptp.element @t199 @t1) (tptp.element @t230 @t11))) % 1.62/1.85 (define @t454 () (@list @t1 @t11 @t69 @t177 @t199 @t230)) % 1.62/1.85 (define @t455 () (tptp.partfun_dom_restriction @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t456 () (and @t71 @t74)) % 1.62/1.85 (define @t457 () (tptp.strict_rel_str @t319)) % 1.62/1.85 (define @t458 () (tptp.antisymmetric_relstr @t328)) % 1.62/1.85 (define @t459 () (tptp.transitive_relstr @t328)) % 1.62/1.85 (define @t460 () (tptp.reflexive_relstr @t328)) % 1.62/1.85 (define @t461 () (tptp.strict_rel_str @t328)) % 1.62/1.85 (define @t462 () (and @t33 @t17 @t213 @t16 @t392)) % 1.62/1.85 (define @t463 () (tptp.strict_rel_str @t342)) % 1.62/1.85 (define @t464 () (tptp.apply_on_set_and_struct @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t465 () (tptp.element @t177 @t1)) % 1.62/1.85 (define @t466 () (tptp.relation_of2 @t69 @t1 @t14)) % 1.62/1.85 (define @t467 () (tptp.quasi_total @t69 @t1 @t14)) % 1.62/1.85 (define @t468 () (and @t148 @t213 @t254 @t71 @t467 @t466 @t465)) % 1.62/1.85 (define @t469 () (tptp.relation @t388)) % 1.62/1.85 (define @t470 () (tptp.function_invverse_img_as_carrier_subset @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t471 () (and @t17 @t449 @t71 @t448 @t447)) % 1.62/1.85 (define @t472 () (tptp.relation @t404)) % 1.62/1.85 (define @t473 () (and @t93 @t185)) % 1.62/1.85 (define @t474 () (tptp.powerset @t11)) % 1.62/1.85 (define @t475 () (tptp.relation_rng_as_subset @t1 @t11 @t69)) % 1.62/1.85 (define @t476 () (tptp.union_of_subsets @t1 @t11)) % 1.62/1.85 (define @t477 () (tptp.strict_net_str @t391 @t1)) % 1.62/1.85 (define @t478 () (tptp.identity_as_relation_of @t1)) % 1.62/1.85 (define @t479 () (tptp.relation @t183)) % 1.62/1.85 (define @t480 () (tptp.meet_of_subsets @t1 @t11)) % 1.62/1.85 (define @t481 () (tptp.subset_difference @t1 @t11 @t69)) % 1.62/1.85 (define @t482 () (tptp.strict_net_str @t256 @t1)) % 1.62/1.85 (define @t483 () (tptp.function_of_composition @t1 @t11 @t69 @t177 @t199)) % 1.62/1.85 (define @t484 () (tptp.function @t199)) % 1.62/1.85 (define @t485 () (tptp.quasi_total @t177 @t1 @t11)) % 1.62/1.85 (define @t486 () (and @t141 @t237 @t485 (tptp.relation_of2 @t177 @t1 @t11) @t484 (tptp.quasi_total @t199 @t11 @t69) (tptp.relation_of2 @t199 @t11 @t69))) % 1.62/1.85 (define @t487 () (@list @t1 @t11 @t69 @t177 @t199)) % 1.62/1.85 (define @t488 () (tptp.relation @t205)) % 1.62/1.85 (define @t489 () (tptp.apply_on_set_and_struct2 @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t490 () (and @t148 @t213 @t449 @t71 @t467 @t466 @t465)) % 1.62/1.85 (define @t491 () (tptp.apply_as_element @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t492 () (and @t148 @t71 @t70 @t74 @t465)) % 1.62/1.85 (define @t493 () (tptp.relation @t224)) % 1.62/1.85 (define @t494 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t69 @t177)) % 1.62/1.85 (define @t495 () (and @t33 @t17 @t213 @t152 @t242 @t16)) % 1.62/1.85 (define @t496 () (tptp.cartesian_product2 @t3 @t3)) % 1.62/1.85 (define @t497 () (tptp.quasi_total @t7 @t496 @t3)) % 1.62/1.85 (define @t498 () (tptp.function @t7)) % 1.62/1.85 (define @t499 () (tptp.quasi_total @t12 @t14 @t3)) % 1.62/1.85 (define @t500 () (tptp.function @t12)) % 1.62/1.85 (define @t501 () (tptp.quasi_total @t8 @t496 @t3)) % 1.62/1.85 (define @t502 () (tptp.function @t8)) % 1.62/1.85 (define @t503 () (tptp.finite @t167)) % 1.62/1.85 (define @t504 () (tptp.relation_composition @t11 @t1)) % 1.62/1.85 (define @t505 () (and @t54 @t185)) % 1.62/1.85 (define @t506 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.62/1.85 (define @t507 () (tptp.relation tptp.empty_set)) % 1.62/1.85 (define @t508 () (tptp.empty tptp.empty_set)) % 1.62/1.85 (define @t509 () (tptp.relation_empty_yielding @t1)) % 1.62/1.85 (define @t510 () (and @t93 @t509)) % 1.62/1.85 (define @t511 () (tptp.relation @t2)) % 1.62/1.85 (define @t512 () (and @t65 @t114)) % 1.62/1.85 (define @t513 () (not (tptp.empty @t356))) % 1.62/1.85 (define @t514 () (not (tptp.empty @t289))) % 1.62/1.85 (define @t515 () (not (tptp.empty @t56))) % 1.62/1.85 (define @t516 () (tptp.boolean_lattstr @t282)) % 1.62/1.85 (define @t517 () (tptp.complemented_lattstr @t282)) % 1.62/1.85 (define @t518 () (tptp.bounded_lattstr @t282)) % 1.62/1.85 (define @t519 () (tptp.upper_bounded_semilattstr @t282)) % 1.62/1.85 (define @t520 () (tptp.lower_bounded_semilattstr @t282)) % 1.62/1.85 (define @t521 () (tptp.modular_lattstr @t282)) % 1.62/1.85 (define @t522 () (tptp.distributive_lattstr @t282)) % 1.62/1.85 (define @t523 () (tptp.lattice @t282)) % 1.62/1.85 (define @t524 () (tptp.join_absorbing @t282)) % 1.62/1.85 (define @t525 () (tptp.meet_absorbing @t282)) % 1.62/1.85 (define @t526 () (tptp.meet_associative @t282)) % 1.62/1.85 (define @t527 () (tptp.meet_commutative @t282)) % 1.62/1.85 (define @t528 () (tptp.join_associative @t282)) % 1.62/1.85 (define @t529 () (tptp.join_commutative @t282)) % 1.62/1.85 (define @t530 () (not (tptp.empty_carrier @t282))) % 1.62/1.85 (define @t531 () (not (tptp.empty @t290))) % 1.62/1.85 (define @t532 () (tptp.distributive_relstr @t342)) % 1.62/1.85 (define @t533 () (tptp.join_complete_relstr @t342)) % 1.62/1.85 (define @t534 () (tptp.up_complete_relstr @t342)) % 1.62/1.85 (define @t535 () (tptp.bounded_relstr @t342)) % 1.62/1.85 (define @t536 () (tptp.upper_bounded_relstr @t342)) % 1.62/1.85 (define @t537 () (tptp.lower_bounded_relstr @t342)) % 1.62/1.85 (define @t538 () (tptp.complete_relstr @t342)) % 1.62/1.85 (define @t539 () (tptp.with_infima_relstr @t342)) % 1.62/1.85 (define @t540 () (tptp.with_suprema_relstr @t342)) % 1.62/1.85 (define @t541 () (tptp.antisymmetric_relstr @t342)) % 1.62/1.85 (define @t542 () (tptp.transitive_relstr @t342)) % 1.62/1.85 (define @t543 () (tptp.reflexive_relstr @t342)) % 1.62/1.85 (define @t544 () (not (tptp.empty_carrier @t342))) % 1.62/1.85 (define @t545 () (tptp.boolean_relstr @t342)) % 1.62/1.85 (define @t546 () (tptp.complemented_relstr @t342)) % 1.62/1.85 (define @t547 () (tptp.heyting_relstr @t342)) % 1.62/1.85 (define @t548 () (not (tptp.v1_yellow_3 @t342))) % 1.62/1.85 (define @t549 () (tptp.rel_str_of @t289 @t11)) % 1.62/1.85 (define @t550 () (tptp.with_infima_relstr @t328)) % 1.62/1.85 (define @t551 () (tptp.with_suprema_relstr @t328)) % 1.62/1.85 (define @t552 () (not (tptp.empty_carrier @t328))) % 1.62/1.85 (define @t553 () (tptp.v1_membered @t167)) % 1.62/1.85 (define @t554 () (tptp.v1_membered @t166)) % 1.62/1.85 (define @t555 () (tptp.v2_membered @t167)) % 1.62/1.85 (define @t556 () (tptp.ordinal @t290)) % 1.62/1.85 (define @t557 () (tptp.epsilon_connected @t290)) % 1.62/1.85 (define @t558 () (tptp.epsilon_transitive @t290)) % 1.62/1.85 (define @t559 () (not (tptp.empty @t160))) % 1.62/1.85 (define @t560 () (tptp.function @t183)) % 1.62/1.85 (define @t561 () (tptp.v1_partfun1 @t8 @t496 @t3)) % 1.62/1.85 (define @t562 () (tptp.relation @t8)) % 1.62/1.85 (define @t563 () (and @t33 @t85 @t164)) % 1.62/1.85 (define @t564 () (and @t104 @t103 @t102)) % 1.62/1.85 (define @t565 () (and @t513 (tptp.directed_subset @t356 @t1))) % 1.62/1.85 (define @t566 () (tptp.upper_bounded_relstr @t328)) % 1.62/1.85 (define @t567 () (tptp.v2_membered @t166)) % 1.62/1.85 (define @t568 () (tptp.v3_membered @t167)) % 1.62/1.85 (define @t569 () (tptp.v3_membered @t166)) % 1.62/1.85 (define @t570 () (tptp.v4_membered @t167)) % 1.62/1.85 (define @t571 () (tptp.v4_membered @t166)) % 1.62/1.85 (define @t572 () (tptp.v1_membered @t374)) % 1.62/1.85 (define @t573 () (tptp.v2_membered @t374)) % 1.62/1.85 (define @t574 () (tptp.v3_membered @t374)) % 1.62/1.85 (define @t575 () (tptp.transitive @t11)) % 1.62/1.85 (define @t576 () (tptp.antisymmetric @t11)) % 1.62/1.85 (define @t577 () (tptp.open_subset @t303 @t1)) % 1.62/1.85 (define @t578 () (tptp.lower_bounded_relstr @t328)) % 1.62/1.85 (define @t579 () (tptp.v4_membered @t374)) % 1.62/1.85 (define @t580 () (tptp.v1_partfun1 @t7 @t496 @t3)) % 1.62/1.85 (define @t581 () (tptp.relation @t7)) % 1.62/1.85 (define @t582 () (tptp.closed_subset @t303 @t1)) % 1.62/1.85 (define @t583 () (and @t513 (tptp.filtered_subset @t356 @t1))) % 1.62/1.85 (define @t584 () (and @t185 @t134)) % 1.62/1.85 (define @t585 () (tptp.closed_subset @t356 @t1)) % 1.62/1.85 (define @t586 () (tptp.empty @t218)) % 1.62/1.85 (define @t587 () (and @t148 @t93)) % 1.62/1.85 (define @t588 () (tptp.antisymmetric_relstr @t319)) % 1.62/1.85 (define @t589 () (tptp.transitive_relstr @t319)) % 1.62/1.85 (define @t590 () (tptp.reflexive_relstr @t319)) % 1.62/1.85 (define @t591 () (tptp.empty @t376)) % 1.62/1.85 (define @t592 () (tptp.open_subset @t304 @t1)) % 1.62/1.85 (define @t593 () (and @t213 @t437 @t283)) % 1.62/1.85 (define @t594 () (= @t1 @t177)) % 1.62/1.85 (define @t595 () (tptp.point_neighbourhood @t177 @t11 @t69)) % 1.62/1.85 (define @t596 () (and @t595 @t594)) % 1.62/1.85 (define @t597 () (exists @t192 @t596)) % 1.62/1.85 (define @t598 () (tptp.in @t1 (tptp.a_2_0_yellow19 @t11 @t69))) % 1.62/1.85 (define @t599 () (= @t598 @t597)) % 1.62/1.85 (define @t600 () (tptp.top_str @t11)) % 1.62/1.85 (define @t601 () (tptp.topological_space @t11)) % 1.62/1.85 (define @t602 () (and @t213 @t601 @t600 @t392)) % 1.62/1.85 (define @t603 () (=> @t602 @t599)) % 1.62/1.85 (define @t604 () (forall @t75 @t603)) % 1.62/1.85 (define @t605 () (exists @t192 (and @t210 @t594 (tptp.latt_set_smaller @t11 @t177 @t69)))) % 1.62/1.85 (define @t606 () (= @t1 @t199)) % 1.62/1.85 (define @t607 () (= @t1 @t69)) % 1.62/1.85 (define @t608 () (and @t607 @t330)) % 1.62/1.85 (define @t609 () (@var "H" $$unsorted)) % 1.62/1.85 (define @t610 () (= @t177 @t609)) % 1.62/1.85 (define @t611 () (= @t69 @t230)) % 1.62/1.85 (define @t612 () (@list @t177 @t199 @t230)) % 1.62/1.85 (define @t613 () (tptp.in @t11 @t225)) % 1.62/1.85 (define @t614 () (tptp.disjoint @t289 @t11)) % 1.62/1.85 (define @t615 () (not @t22)) % 1.62/1.85 (define @t616 () (tptp.well_ordering @t11)) % 1.62/1.85 (define @t617 () (tptp.in (tptp.ordered_pair @t69 @t11) @t1)) % 1.62/1.85 (define @t618 () (tptp.singleton @t69)) % 1.62/1.85 (define @t619 () (not @t274)) % 1.62/1.85 (define @t620 () (tptp.singleton @t11)) % 1.62/1.85 (define @t621 () (tptp.union @t11)) % 1.62/1.85 (define @t622 () (tptp.in @t1 @t69)) % 1.62/1.85 (define @t623 () (tptp.element @t1 @t474)) % 1.62/1.85 (define @t624 () (tptp.relation_dom_restriction @t69 @t1)) % 1.62/1.85 (define @t625 () (tptp.in @t11 (tptp.relation_dom @t624))) % 1.62/1.85 (define @t626 () (and @t33 @t31 @t41 @t5)) % 1.62/1.85 (define @t627 () (tptp.lower_relstr_subset @t11 @t1)) % 1.62/1.85 (define @t628 () (not @t122)) % 1.62/1.85 (define @t629 () (tptp.proper_element @t11 @t56)) % 1.62/1.85 (define @t630 () (tptp.proper_element @t11 @t101)) % 1.62/1.85 (define @t631 () (tptp.strict_net_str @t69 @t1)) % 1.62/1.85 (define @t632 () (tptp.relation_dom_restriction @t69 @t177)) % 1.62/1.85 (define @t633 () (tptp.unordered_pair @t11 @t69)) % 1.62/1.85 (define @t634 () (tptp.set_union2 @t11 @t69)) % 1.62/1.85 (define @t635 () (tptp.set_intersection2 @t11 @t69)) % 1.62/1.85 (define @t636 () (tptp.set_difference @t11 @t69)) % 1.62/1.85 (define @t637 () (tptp.relation_composition @t177 @t199)) % 1.62/1.85 (define @t638 () (tptp.below_refl @t1 @t11 @t69)) % 1.62/1.85 (define @t639 () (and @t33 @t83 @t81 @t80 @t10 @t158 @t157)) % 1.62/1.85 (define @t640 () (and @t33 @t31 @t5 @t158 @t157)) % 1.62/1.85 (define @t641 () (@var "K" $$unsorted)) % 1.62/1.85 (define @t642 () (@var "J" $$unsorted)) % 1.62/1.85 (define @t643 () (tptp.in @t641 @t642)) % 1.62/1.85 (define @t644 () (@list @t641)) % 1.62/1.85 (define @t645 () (@list @t642)) % 1.62/1.85 (define @t646 () (= @t177 @t199)) % 1.62/1.85 (define @t647 () (@var "I" $$unsorted)) % 1.62/1.85 (define @t648 () (tptp.in @t647 @t609)) % 1.62/1.85 (define @t649 () (@list @t647)) % 1.62/1.85 (define @t650 () (@list @t609)) % 1.62/1.85 (define @t651 () (exists @t650 (and (= @t69 @t609) (tptp.in @t199 @t609) (forall @t649 (=> @t648 (tptp.in (tptp.ordered_pair @t199 @t647) @t11)))))) % 1.62/1.85 (define @t652 () (tptp.in @t228 @t230)) % 1.62/1.85 (define @t653 () (exists @t235 (and @t611 (tptp.in @t177 @t230) (forall @t233 (=> @t652 (tptp.in (tptp.ordered_pair @t177 @t228) @t11)))))) % 1.62/1.85 (define @t654 () (forall @t405 (=> (and @t179 @t653 @t179 @t651) @t646))) % 1.62/1.85 (define @t655 () (and @t148 @t185)) % 1.62/1.85 (define @t656 () (= @t177 @t620)) % 1.62/1.85 (define @t657 () (= @t69 @t620)) % 1.62/1.85 (define @t658 () (forall @t275 (=> (and @t20 @t657 @t20 @t656) @t178))) % 1.62/1.85 (define @t659 () (tptp.subset_complement @t3 @t609)) % 1.62/1.85 (define @t660 () (= @t609 @t177)) % 1.62/1.85 (define @t661 () (tptp.element @t609 @t101)) % 1.62/1.85 (define @t662 () (forall @t650 (=> @t661 (=> @t660 (= @t199 @t659))))) % 1.62/1.85 (define @t663 () (tptp.complements_of_subsets @t3 @t11)) % 1.62/1.85 (define @t664 () (tptp.in @t177 @t663)) % 1.62/1.85 (define @t665 () (tptp.element @t228 @t101)) % 1.62/1.85 (define @t666 () (forall @t233 (=> @t665 (=> (= @t228 @t69) (= @t199 (tptp.subset_complement @t3 @t228)))))) % 1.62/1.85 (define @t667 () (tptp.in @t69 @t663)) % 1.62/1.85 (define @t668 () (tptp.element @t230 @t101)) % 1.62/1.85 (define @t669 () (forall @t235 (=> @t668 (=> (= @t230 @t69) (= @t177 (tptp.subset_complement @t3 @t230)))))) % 1.62/1.85 (define @t670 () (forall @t405 (=> (and @t667 @t669 @t667 @t666) @t646))) % 1.62/1.85 (define @t671 () (and @t17 @t295)) % 1.62/1.85 (define @t672 () (forall @t405 (=> (and @t296 @t669 @t296 @t666) @t646))) % 1.62/1.85 (define @t673 () (tptp.ordinal @t69)) % 1.62/1.85 (define @t674 () (@var "S" $$unsorted)) % 1.62/1.85 (define @t675 () (@var "T" $$unsorted)) % 1.62/1.85 (define @t676 () (@var "R" $$unsorted)) % 1.62/1.85 (define @t677 () (tptp.powerset (tptp.powerset @t177))) % 1.62/1.85 (define @t678 () (@list @t676)) % 1.62/1.85 (define @t679 () (tptp.in @t177 tptp.omega)) % 1.62/1.85 (define @t680 () (tptp.ordinal @t177)) % 1.62/1.85 (define @t681 () (@var "P" $$unsorted)) % 1.62/1.85 (define @t682 () (@var "Q" $$unsorted)) % 1.62/1.85 (define @t683 () (@var "O" $$unsorted)) % 1.62/1.85 (define @t684 () (@list @t682)) % 1.62/1.85 (define @t685 () (@list @t681)) % 1.62/1.85 (define @t686 () (@list @t683)) % 1.62/1.85 (define @t687 () (@var "M" $$unsorted)) % 1.62/1.85 (define @t688 () (@var "N" $$unsorted)) % 1.62/1.85 (define @t689 () (@var "L" $$unsorted)) % 1.62/1.85 (define @t690 () (@list @t688)) % 1.62/1.85 (define @t691 () (tptp.in @t687 @t689)) % 1.62/1.85 (define @t692 () (@list @t687)) % 1.62/1.85 (define @t693 () (@list @t689)) % 1.62/1.85 (define @t694 () (tptp.succ @t177)) % 1.62/1.85 (define @t695 () (=> @t679 (forall @t209 (=> (tptp.element @t199 @t677) (not (and (not (= @t199 tptp.empty_set)) (forall @t235 (not (and (tptp.in @t230 @t199) (forall @t233 (=> (and (tptp.in @t228 @t199) (tptp.subset @t230 @t228)) (= @t228 @t230)))))))))))) % 1.62/1.85 (define @t696 () (tptp.subset @t11 @t69)) % 1.62/1.85 (define @t697 () (tptp.powerset tptp.empty_set)) % 1.62/1.85 (define @t698 () (tptp.apply @t69 @t230)) % 1.62/1.85 (define @t699 () (tptp.in @t230 @t1)) % 1.62/1.85 (define @t700 () (tptp.relation @t177)) % 1.62/1.85 (define @t701 () (and @t185 @t95 @t71)) % 1.62/1.85 (define @t702 () (forall @t644 (=> @t643 (tptp.in (tptp.ordered_pair @t177 @t641) @t11)))) % 1.62/1.85 (define @t703 () (tptp.in @t177 @t642)) % 1.62/1.85 (define @t704 () (tptp.cartesian_product2 @t1 @t69)) % 1.62/1.85 (define @t705 () (= @t199 @t230)) % 1.62/1.85 (define @t706 () (tptp.ordered_pair @t641 @t689)) % 1.62/1.85 (define @t707 () (@list @t641 @t689)) % 1.62/1.85 (define @t708 () (= @t177 @t230)) % 1.62/1.85 (define @t709 () (tptp.in @t642 @t647)) % 1.62/1.85 (define @t710 () (tptp.in @t228 @t1)) % 1.62/1.85 (define @t711 () (tptp.ordered_pair @t228 @t609)) % 1.62/1.85 (define @t712 () (= @t711 @t199)) % 1.62/1.85 (define @t713 () (@list @t228 @t609)) % 1.62/1.85 (define @t714 () (tptp.powerset @t69)) % 1.62/1.85 (define @t715 () (tptp.in @t642 @t11)) % 1.62/1.85 (define @t716 () (tptp.in @t609 @t11)) % 1.62/1.85 (define @t717 () (tptp.element @t609 @t3)) % 1.62/1.85 (define @t718 () (= @t228 @t199)) % 1.62/1.85 (define @t719 () (tptp.element @t69 @t474)) % 1.62/1.85 (define @t720 () (and @t33 @t41 @t5 @t102 @t346 @t719)) % 1.62/1.85 (define @t721 () (tptp.ordered_pair @t642 @t641)) % 1.62/1.85 (define @t722 () (@list @t642 @t641)) % 1.62/1.85 (define @t723 () (= @t199 @t177)) % 1.62/1.85 (define @t724 () (tptp.in @t609 @t1)) % 1.62/1.85 (define @t725 () (= @t69 @t199)) % 1.62/1.85 (define @t726 () (tptp.ordered_pair @t230 @t228)) % 1.62/1.85 (define @t727 () (@list @t230 @t228)) % 1.62/1.85 (define @t728 () (not (and (not (= @t230 tptp.empty_set)) (forall @t233 (not (and @t652 (forall @t650 (=> (and (tptp.in @t609 @t230) (tptp.subset @t228 @t609)) (= @t609 @t228))))))))) % 1.62/1.85 (define @t729 () (tptp.ordinal @t199)) % 1.62/1.85 (define @t730 () (tptp.subset @t11 @t177)) % 1.62/1.85 (define @t731 () (tptp.in @t199 @t101)) % 1.62/1.85 (define @t732 () (= @t230 @t177)) % 1.62/1.85 (define @t733 () (tptp.in (tptp.set_difference @t356 @t177) @t11)) % 1.62/1.85 (define @t734 () (and @t104 @t103 @t295)) % 1.62/1.85 (define @t735 () (tptp.in @t228 @t11)) % 1.62/1.85 (define @t736 () (and @t64 (tptp.element @t11 (tptp.powerset (tptp.powerset @t290))))) % 1.62/1.85 (define @t737 () (= @t177 @t659)) % 1.62/1.85 (define @t738 () (forall @t650 (=> @t661 (=> (= @t609 @t199) @t737)))) % 1.62/1.85 (define @t739 () (tptp.in @t199 @t663)) % 1.62/1.85 (define @t740 () (forall @t686 (=> (tptp.element @t683 @t101) (=> (= @t683 @t687) (= @t688 (tptp.subset_complement @t3 @t683)))))) % 1.62/1.85 (define @t741 () (= (tptp.ordered_pair @t687 @t688) @t199)) % 1.62/1.85 (define @t742 () (@list @t687 @t688)) % 1.62/1.85 (define @t743 () (tptp.cartesian_product2 @t663 @t69)) % 1.62/1.85 (define @t744 () (forall @t693 (=> (tptp.element @t689 @t101) (=> (= @t689 @t642) (= @t641 (tptp.subset_complement @t3 @t689)))))) % 1.62/1.85 (define @t745 () (= @t721 @t230)) % 1.62/1.85 (define @t746 () (tptp.subset_complement @t3 @t647)) % 1.62/1.85 (define @t747 () (tptp.element @t647 @t101)) % 1.62/1.85 (define @t748 () (forall @t649 (=> @t747 (=> (= @t647 @t228) (= @t609 @t746))))) % 1.62/1.85 (define @t749 () (tptp.cartesian_product2 @t11 @t69)) % 1.62/1.85 (define @t750 () (tptp.apply @t69 @t228)) % 1.62/1.85 (define @t751 () (tptp.in (tptp.relation_image @t69 @t199) @t11)) % 1.62/1.85 (define @t752 () (tptp.powerset @t371)) % 1.62/1.85 (define @t753 () (and @t408 @t95 @t71)) % 1.62/1.85 (define @t754 () (tptp.succ @t11)) % 1.62/1.85 (define @t755 () (= @t199 @t228)) % 1.62/1.85 (define @t756 () (= @t726 @t199)) % 1.62/1.85 (define @t757 () (exists @t233 (and (tptp.element @t228 @t3) @t735 (tptp.relstr_set_smaller @t1 @t230 @t228)))) % 1.62/1.85 (define @t758 () (tptp.singleton @t199)) % 1.62/1.85 (define @t759 () (exists @t209 (and @t250 @t723 (tptp.closed_subset @t199 @t1) @t730))) % 1.62/1.85 (define @t760 () (tptp.in @t177 @t101)) % 1.62/1.85 (define @t761 () (forall @t650 (=> @t661 (=> (= @t609 @t230) (= @t228 @t659))))) % 1.62/1.85 (define @t762 () (tptp.in @t199 @t69)) % 1.62/1.85 (define @t763 () (tptp.apply @t11 @t69)) % 1.62/1.85 (define @t764 () (= @t271 @t1)) % 1.62/1.85 (define @t765 () (exists @t27 (and @t185 @t134 @t764 (forall @t140 (=> @t179 (= @t763 @t618)))))) % 1.62/1.85 (define @t766 () (forall @t649 (=> @t747 (=> (= @t647 @t177) (= @t394 @t746))))) % 1.62/1.85 (define @t767 () (forall @t192 (not (forall @t650 (=> @t661 (=> (= @t609 @t69) @t737)))))) % 1.62/1.85 (define @t768 () (tptp.in @t1 tptp.omega)) % 1.62/1.85 (define @t769 () (tptp.element @t177 @t101)) % 1.62/1.85 (define @t770 () (= @t406 tptp.empty_set)) % 1.62/1.85 (define @t771 () (not (and @t326 @t770))) % 1.62/1.85 (define @t772 () (not @t594)) % 1.62/1.85 (define @t773 () (tptp.relation_rng @t224)) % 1.62/1.85 (define @t774 () (tptp.meet_of_subsets @t1 @t406)) % 1.62/1.85 (define @t775 () (tptp.upper_relstr_subset @t11 @t342)) % 1.62/1.85 (define @t776 () (tptp.the_carrier @t342)) % 1.62/1.85 (define @t777 () (tptp.powerset @t776)) % 1.62/1.85 (define @t778 () (tptp.element @t11 @t777)) % 1.62/1.85 (define @t779 () (tptp.union_of_subsets @t1 @t406)) % 1.62/1.85 (define @t780 () (tptp.the_carrier @t391)) % 1.62/1.85 (define @t781 () (forall @t140 (not (and @t347 (not (tptp.are_equipotent @t69 @t11)) @t353)))) % 1.62/1.85 (define @t782 () (forall @t182 (=> (and @t296 (tptp.subset @t177 @t69)) @t202))) % 1.62/1.85 (define @t783 () (tptp.meet_of_subsets @t3 @t11)) % 1.62/1.85 (define @t784 () (tptp.relation_dom_restriction @t69 @t11)) % 1.62/1.85 (define @t785 () (tptp.relation_image @t11 @t1)) % 1.62/1.85 (define @t786 () (tptp.relation_inverse_image @t11 @t1)) % 1.62/1.85 (define @t787 () (tptp.relation_image @t11 @t786)) % 1.62/1.85 (define @t788 () (tptp.set_intersection2 @t271 @t1)) % 1.62/1.85 (define @t789 () (tptp.subset @t1 @t272)) % 1.62/1.85 (define @t790 () (tptp.relation_of2_as_subset @t177 @t69 @t11)) % 1.62/1.85 (define @t791 () (tptp.relation_rng @t177)) % 1.62/1.85 (define @t792 () (tptp.relation_of2_as_subset @t177 @t69 @t1)) % 1.62/1.85 (define @t793 () (and @t40 @t5)) % 1.62/1.85 (define @t794 () (tptp.relation_rng @t404)) % 1.62/1.85 (define @t795 () (tptp.relation_inverse_image @t69 @t11)) % 1.62/1.85 (define @t796 () (tptp.relation_restriction @t69 @t11)) % 1.62/1.85 (define @t797 () (tptp.relation_restriction @t11 @t1)) % 1.62/1.85 (define @t798 () (tptp.relation_dom_restriction @t11 @t1)) % 1.62/1.85 (define @t799 () (tptp.relation_field @t69)) % 1.62/1.85 (define @t800 () (tptp.in @t1 @t799)) % 1.62/1.85 (define @t801 () (tptp.subset @t1 @t69)) % 1.62/1.85 (define @t802 () (tptp.the_carrier @t282)) % 1.62/1.85 (define @t803 () (tptp.element @t69 @t802)) % 1.62/1.85 (define @t804 () (tptp.element @t11 @t802)) % 1.62/1.85 (define @t805 () (tptp.element @t1 @t11)) % 1.62/1.85 (define @t806 () (tptp.relstr_set_smaller @t1 @t69 @t177)) % 1.62/1.85 (define @t807 () (tptp.in @t1 @t371)) % 1.62/1.85 (define @t808 () (tptp.in @t380 @t69)) % 1.62/1.85 (define @t809 () (tptp.relation_field @t797)) % 1.62/1.85 (define @t810 () (tptp.apply @t69 @t1)) % 1.62/1.85 (define @t811 () (tptp.relation_composition @t69 @t11)) % 1.62/1.85 (define @t812 () (tptp.in @t1 (tptp.relation_dom @t811))) % 1.62/1.85 (define @t813 () (tptp.apply @t177 @t69)) % 1.62/1.85 (define @t814 () (and @t237 @t485 (tptp.relation_of2_as_subset @t177 @t1 @t11))) % 1.62/1.85 (define @t815 () (tptp.connected @t11)) % 1.62/1.85 (define @t816 () (tptp.well_ordering @t797)) % 1.62/1.85 (define @t817 () (= @t809 @t1)) % 1.62/1.85 (define @t818 () (tptp.well_orders @t11 @t1)) % 1.62/1.85 (define @t819 () (tptp.cast_to_el_of_LattPOSet @t11 @t69)) % 1.62/1.85 (define @t820 () (tptp.poset_of_lattice @t11)) % 1.62/1.85 (define @t821 () (tptp.cast_to_el_of_lattice @t11 @t69)) % 1.62/1.85 (define @t822 () (tptp.element @t69 (tptp.the_carrier @t820))) % 1.62/1.85 (define @t823 () (and (= @t11 (tptp.join_on_relstr @t1 @t69)) (tptp.ex_sup_of_relstr_set @t1 @t69))) % 1.62/1.85 (define @t824 () (and (tptp.relstr_set_smaller @t1 @t69 @t11) (forall @t192 (=> @t191 (=> @t806 @t339))))) % 1.62/1.85 (define @t825 () (tptp.well_founded_relation @t11)) % 1.62/1.85 (define @t826 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 1.62/1.85 (define @t827 () (and @t179 @t296)) % 1.62/1.85 (define @t828 () (not @t397)) % 1.62/1.85 (define @t829 () (tptp.in @t69 @t313)) % 1.62/1.85 (define @t830 () (forall @t140 (= @t829 @t267))) % 1.62/1.85 (define @t831 () (=> @t158 @t830)) % 1.62/1.85 (define @t832 () (forall @t27 @t831)) % 1.62/1.85 (define @t833 () (=> @t264 @t832)) % 1.62/1.85 (define @t834 () (forall @t6 @t833)) % 1.62/1.85 (define @t835 () (not @t834)) % 1.62/1.85 (define @t836 () (= @t1 @t754)) % 1.62/1.85 (define @t837 () (and @t33 @t40 @t46 @t5)) % 1.62/1.85 (define @t838 () (tptp.subset_complement @t1 @t69)) % 1.62/1.85 (define @t839 () (tptp.disjoint @t11 @t69)) % 1.62/1.85 (define @t840 () (tptp.relation_dom @t404)) % 1.62/1.85 (define @t841 () (and (tptp.closed_subset @t177 @t1) @t730)) % 1.62/1.85 (define @t842 () (tptp.in @t69 @t251)) % 1.62/1.85 (define @t843 () (tptp.element @t11 @t714)) % 1.62/1.85 (define @t844 () (tptp.in @t69 @t167)) % 1.62/1.85 (define @t845 () (= @t251 @t11)) % 1.62/1.85 (define @t846 () (and (tptp.in @t69 @t376) (= @t177 @t763))) % 1.62/1.85 (define @t847 () (tptp.function_inverse @t11)) % 1.62/1.85 (define @t848 () (tptp.related @t11 @t199 @t230)) % 1.62/1.85 (define @t849 () (= @t376 tptp.empty_set)) % 1.62/1.85 (define @t850 () (= @t218 tptp.empty_set)) % 1.62/1.85 (define @t851 () (= (tptp.apply @t624 @t11) (tptp.apply @t69 @t11))) % 1.62/1.85 (define @t852 () (= @t289 @t633)) % 1.62/1.85 (define @t853 () (@var "BOUND_VARIABLE_15907" $$unsorted)) % 1.62/1.85 (define @t854 () (= (tptp.neighborhood_system @t1 @t853) (tptp.a_2_0_yellow19 @t1 @t853))) % 1.62/1.85 (define @t855 () (not (tptp.element @t853 @t3))) % 1.62/1.85 (define @t856 () (not @t103)) % 1.62/1.85 (define @t857 () (not @t104)) % 1.62/1.85 (define @t858 () (or @t855 @t854)) % 1.62/1.85 (define @t859 () (or @t32 @t857 @t856 @t858)) % 1.62/1.85 (define @t860 () (forall (@list @t1 @t853) @t859)) % 1.62/1.85 (define @t861 () (@list @t853)) % 1.62/1.85 (define @t862 () (forall @t861 @t859)) % 1.62/1.85 (define @t863 () (forall @t861 @t858)) % 1.62/1.85 (define @t864 () (or @t32 @t857 @t856 @t863)) % 1.62/1.85 (define @t865 () (not @t158)) % 1.62/1.85 (define @t866 () (forall @t27 (or @t865 @t314))) % 1.62/1.85 (define @t867 () (or @t32 @t857 @t856 @t866)) % 1.62/1.85 (define @t868 () (or @t32 @t857 @t856)) % 1.62/1.85 (define @t869 () (not @t33)) % 1.62/1.85 (define @t870 () (or @t869 @t857 @t856)) % 1.62/1.85 (define @t871 () (not @t264)) % 1.62/1.85 (define @t872 () (@var "BOUND_VARIABLE_26267" $$unsorted)) % 1.62/1.85 (define @t873 () (@var "BOUND_VARIABLE_26269" $$unsorted)) % 1.62/1.85 (define @t874 () (= (tptp.point_neighbourhood @t873 @t1 @t872) (tptp.in @t873 (tptp.neighborhood_system @t1 @t872)))) % 1.62/1.85 (define @t875 () (not (tptp.element @t872 @t3))) % 1.62/1.85 (define @t876 () (or @t32 @t857 @t856 @t875 @t874)) % 1.62/1.85 (define @t877 () (@list @t1 @t872 @t873)) % 1.62/1.85 (define @t878 () (forall @t877 @t876)) % 1.62/1.85 (define @t879 () (@quantifiers_skolemize @t878 1)) % 1.62/1.85 (define @t880 () (@quantifiers_skolemize @t878 0)) % 1.62/1.85 (define @t881 () (or @t875 @t874)) % 1.62/1.85 (define @t882 () (or @t32 @t857 @t856 @t881)) % 1.62/1.85 (define @t883 () (forall @t877 @t882)) % 1.62/1.85 (define @t884 () (@list @t872 @t873)) % 1.62/1.85 (define @t885 () (forall @t884 @t882)) % 1.62/1.85 (define @t886 () (forall @t884 @t881)) % 1.62/1.85 (define @t887 () (@var "BOUND_VARIABLE_26255" $$unsorted)) % 1.62/1.85 (define @t888 () (or @t32 @t857 @t856 @t886)) % 1.62/1.85 (define @t889 () (= (tptp.point_neighbourhood @t887 @t1 @t11) (tptp.in @t887 @t313))) % 1.62/1.85 (define @t890 () (or @t865 @t889)) % 1.62/1.85 (define @t891 () (forall (@list @t11 @t887) @t890)) % 1.62/1.85 (define @t892 () (or @t32 @t857 @t856 @t891)) % 1.62/1.85 (define @t893 () (@list @t887)) % 1.62/1.85 (define @t894 () (forall @t893 @t890)) % 1.62/1.85 (define @t895 () (forall @t893 @t889)) % 1.62/1.85 (define @t896 () (or @t865 @t895)) % 1.62/1.85 (define @t897 () (forall @t140 (= @t267 @t829))) % 1.62/1.85 (define @t898 () (tptp.element @t879 (tptp.the_carrier @t880))) % 1.62/1.85 (define @t899 () (tptp.neighborhood_system @t880 @t879)) % 1.62/1.85 (define @t900 () (@quantifiers_skolemize @t878 2)) % 1.62/1.85 (define @t901 () (tptp.in @t900 @t899)) % 1.62/1.85 (define @t902 () (tptp.point_neighbourhood @t900 @t880 @t879)) % 1.62/1.85 (define @t903 () (= @t902 @t901)) % 1.62/1.85 (define @t904 () (not @t898)) % 1.62/1.85 (define @t905 () (tptp.top_str @t880)) % 1.62/1.85 (define @t906 () (not @t905)) % 1.62/1.85 (define @t907 () (tptp.topological_space @t880)) % 1.62/1.85 (define @t908 () (not @t907)) % 1.62/1.85 (define @t909 () (tptp.empty_carrier @t880)) % 1.62/1.85 (define @t910 () (or @t909 @t908 @t906 @t904 @t903)) % 1.62/1.85 (define @t911 () (@list true)) % 1.62/1.85 (define @t912 () (@list @t910)) % 1.62/1.85 (define @t913 () (tptp.a_2_0_yellow19 @t880 @t879)) % 1.62/1.85 (define @t914 () (= @t899 @t913)) % 1.62/1.85 (define @t915 () (or @t909 @t908 @t906 @t904 @t914)) % 1.62/1.85 (define @t916 () (@list true false false false false)) % 1.62/1.85 (define @t917 () (tptp.point_neighbourhood @t1 @t11 @t69)) % 1.62/1.85 (define @t918 () (= @t598 @t917)) % 1.62/1.85 (define @t919 () (not @t392)) % 1.62/1.85 (define @t920 () (not @t600)) % 1.62/1.85 (define @t921 () (not @t601)) % 1.62/1.85 (define @t922 () (or @t212 @t921 @t920 @t919 @t918)) % 1.62/1.85 (define @t923 () (not @t213)) % 1.62/1.85 (define @t924 () (or @t923 @t921 @t920 @t919)) % 1.62/1.85 (define @t925 () (not @t917)) % 1.62/1.85 (define @t926 () (not (= @t1 @t1))) % 1.62/1.85 (define @t927 () (or @t925 @t926)) % 1.62/1.85 (define @t928 () (not @t595)) % 1.62/1.85 (define @t929 () (or @t772 @t928 @t772)) % 1.62/1.85 (define @t930 () (or @t928 @t772)) % 1.62/1.85 (define @t931 () (forall @t192 (not @t596))) % 1.62/1.85 (define @t932 () (not @t931)) % 1.62/1.85 (define @t933 () (tptp.in @t900 @t913)) % 1.62/1.85 (define @t934 () (or @t909 @t908 @t906 @t904 (= @t933 @t902))) % 1.62/1.85 (define @t935 () (forall @t75 @t922)) % 1.62/1.85 (define @t936 () (= @t902 @t933)) % 1.62/1.85 (define @t937 () (or @t909 @t908 @t906 @t904 @t936)) % 1.62/1.85 (define @t938 () (not @t936)) % 1.62/1.85 (define @t939 () (not @t933)) % 1.62/1.85 (define @t940 () (and @t901 @t914)) % 1.62/1.85 (define @t941 () (not @t914)) % 1.62/1.85 (define @t942 () (not @t901)) % 1.62/1.85 (define @t943 () (and @t942 @t914)) % 1.62/1.85 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 1.62/1.85 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 1.62/1.85 (assume @p3 (forall @t19 (=> @t18 (=> @t15 (= @t11 (tptp.net_str_of @t1 @t14 @t13 @t12)))))) % 1.62/1.85 (assume @p4 (forall @t19 (=> @t22 @t21))) % 1.62/1.85 (assume @p5 (forall @t19 (=> @t24 (not @t23)))) % 1.62/1.85 (assume @p6 (forall @t6 (=> @t28 (forall @t27 (=> @t26 @t25))))) % 1.62/1.85 (assume @p7 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t34) (and @t33 @t31 @t30 @t29))))) % 1.62/1.85 (assume @p8 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))))) % 1.62/1.85 (assume @p9 (forall @t6 (=> @t45 (forall @t27 (=> @t26 (and @t25 @t44)))))) % 1.62/1.85 (assume @p10 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t29) (and @t33 @t31 @t46))))) % 1.62/1.85 (assume @p11 (forall @t6 (=> @t48 (forall @t27 (=> @t26 (and @t25 @t44 @t47)))))) % 1.62/1.85 (assume @p12 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t46 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))))) % 1.62/1.85 (assume @p13 (forall @t6 (=> @t51 (forall @t27 (=> @t26 (and @t25 @t44 @t50 @t47)))))) % 1.62/1.85 (assume @p14 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t29) (and @t33 @t31 @t40 @t38))))) % 1.62/1.85 (assume @p15 (forall @t6 (=> @t53 (forall @t27 (=> @t26 (and @t25 @t52 @t44 @t50 @t47)))))) % 1.62/1.85 (assume @p16 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t37 @t29) (and @t33 @t31 @t40 @t39 @t37))))) % 1.62/1.85 (assume @p17 (forall @t6 (=> @t54 (and @t28 @t45 @t48 @t51 @t53)))) % 1.62/1.85 (assume @p18 (forall @t6 (=> @t28 (forall @t27 (=> @t57 @t55))))) % 1.62/1.85 (assume @p19 (forall @t6 (=> @t45 (forall @t27 (=> @t57 (and @t55 @t58)))))) % 1.62/1.85 (assume @p20 (forall @t6 (=> @t48 (forall @t27 (=> @t57 (and @t55 @t58 @t59)))))) % 1.62/1.85 (assume @p21 (forall @t6 (=> @t51 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60)))))) % 1.62/1.85 (assume @p22 (forall @t6 (=> @t64 (forall @t27 (=> @t26 (and @t63 @t62 @t61)))))) % 1.62/1.85 (assume @p23 (forall @t6 (=> @t54 @t65))) % 1.62/1.85 (assume @p24 (forall @t6 (=> @t67 @t66))) % 1.62/1.85 (assume @p25 (forall @t6 (=> @t54 @t68))) % 1.62/1.85 (assume @p26 (forall @t75 (=> @t74 (=> (and @t71 @t73) @t72)))) % 1.62/1.85 (assume @p27 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t86) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))))) % 1.62/1.85 (assume @p28 (forall @t6 (=> @t5 (=> @t39 @t33)))) % 1.62/1.85 (assume @p29 (forall @t6 (=> @t10 (=> @t88 @t87)))) % 1.62/1.85 (assume @p30 (forall @t6 (=> @t53 @t51))) % 1.62/1.85 (assume @p31 (forall @t6 (=> @t64 @t91))) % 1.62/1.85 (assume @p32 (forall @t6 (=> (and @t93 (tptp.symmetric @t1) @t94) (and @t93 @t92)))) % 1.62/1.85 (assume @p33 (forall @t6 (=> @t54 @t93))) % 1.62/1.85 (assume @p34 (forall @t75 (=> @t97 @t95))) % 1.62/1.85 (assume @p35 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t100 (and @t99 @t98))))))) % 1.62/1.85 (assume @p36 (forall @t6 (=> (and @t33 @t108 @t5) (forall @t27 (=> @t102 (and @t107 @t106)))))) % 1.62/1.85 (assume @p37 (forall @t6 (=> @t5 (=> @t109 (and @t33 @t39 @t38))))) % 1.62/1.85 (assume @p38 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t37 @t30 @t29) (and @t33 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34))))) % 1.62/1.85 (assume @p39 (forall @t6 (=> @t5 (=> @t32 @t110)))) % 1.62/1.85 (assume @p40 (forall @t6 (=> @t53 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60 @t111)))))) % 1.62/1.85 (assume @p41 (forall @t6 (=> (and @t54 @t64) @t113))) % 1.62/1.85 (assume @p42 (forall @t6 (=> @t65 (forall @t27 (=> @t57 @t114))))) % 1.62/1.85 (assume @p43 (forall @t6 (=> @t66 @t67))) % 1.62/1.85 (assume @p44 (forall @t6 (=> @t117 @t116))) % 1.62/1.85 (assume @p45 (forall @t75 (=> @t74 (=> @t120 @t119)))) % 1.62/1.85 (assume @p46 (forall @t6 (=> @t5 (=> @t38 @t33)))) % 1.62/1.85 (assume @p47 (forall @t6 (=> @t10 (=> @t87 @t88)))) % 1.62/1.85 (assume @p48 (forall @t6 (=> @t51 @t48))) % 1.62/1.85 (assume @p49 (forall @t6 (=> @t91 @t64))) % 1.62/1.85 (assume @p50 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (=> @t100 @t121)))))) % 1.62/1.85 (assume @p51 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t46 @t108 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t108 @t30 @t29))))) % 1.62/1.85 (assume @p52 (forall @t6 (=> @t5 (=> @t123 (and @t33 @t31 @t41 @t40 @t34))))) % 1.62/1.85 (assume @p53 (forall @t6 (=> @t5 (=> @t124 @t33)))) % 1.62/1.85 (assume @p54 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t113))) % 1.62/1.85 (assume @p55 (forall @t75 (=> @t74 (=> @t119 @t120)))) % 1.62/1.85 (assume @p56 (forall @t6 (=> @t10 (=> @t126 @t125)))) % 1.62/1.85 (assume @p57 (forall @t6 (=> @t48 @t45))) % 1.62/1.85 (assume @p58 (forall @t6 (=> @t54 @t127))) % 1.62/1.85 (assume @p59 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t100 @t128)))))) % 1.62/1.85 (assume @p60 (forall @t6 (=> @t5 (=> (and @t33 @t122 @t31) (and @t33 @t31 @t129))))) % 1.62/1.85 (assume @p61 (forall @t6 (=> @t5 (=> @t109 (and @t33 @t49))))) % 1.62/1.85 (assume @p62 (forall @t6 (=> @t5 (=> (and @t33 @t31) (and @t33 @t124))))) % 1.62/1.85 (assume @p63 (forall @t19 (=> @t137 (=> (and @t134 @t136 @t135 @t132) (and @t134 @t133 @t132 @t131 @t130))))) % 1.62/1.85 (assume @p64 (forall @t6 (=> @t10 (=> @t125 @t126)))) % 1.62/1.85 (assume @p65 (forall @t6 (=> @t45 @t28))) % 1.62/1.85 (assume @p66 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t128 @t121)))))) % 1.62/1.85 (assume @p67 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t138) (and @t33 @t31 @t30 @t129))))) % 1.62/1.85 (assume @p68 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t46 @t138 @t39 @t38) (and @t33 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t124 (tptp.v1_waybel_2 @t1) (tptp.v2_waybel_2 @t1) @t39 @t38 @t34))))) % 1.62/1.85 (assume @p69 (forall @t6 (=> @t5 (=> @t49 @t139)))) % 1.62/1.85 (assume @p70 (forall @t19 (=> @t141 (forall @t140 (=> @t74 (=> @t72 (and @t71 @t73 @t70))))))) % 1.62/1.85 (assume @p71 (forall @t6 (=> @t10 (=> @t145 (and @t33 @t143 @t78 @t77 @t76 @t142))))) % 1.62/1.85 (assume @p72 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> (and @t98 @t121) (and @t121 @t128))))))) % 1.62/1.85 (assume @p73 (forall @t6 (=> @t5 (=> @t123 (and @t33 @t31 @t108))))) % 1.62/1.85 (assume @p74 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t31 @t41 @t40 @t39 @t38))))) % 1.62/1.85 (assume @p75 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t39 @t46 @t30 @t129) (and @t33 @t31 @t41 @t40 @t39 @t46 @t138))))) % 1.62/1.85 (assume @p76 (forall @t6 (=> @t5 (=> @t139 @t49)))) % 1.62/1.85 (assume @p77 (forall @t19 (=> @t149 (forall @t140 (=> @t74 (=> @t72 (and @t71 (not @t147) @t73 @t70))))))) % 1.62/1.85 (assume @p78 (forall @t6 (=> @t10 (=> (and @t33 @t143 @t76 @t142) @t145)))) % 1.62/1.85 (assume @p79 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> (and @t99 @t128) (and @t100 @t99 @t98 @t55 @t58 @t59 @t60 @t111 @t121 @t128))))))) % 1.62/1.85 (assume @p80 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t36))))) % 1.62/1.85 (assume @p81 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t34 @t108) (and @t33 @t31 @t41 @t40 @t108 @t129))))) % 1.62/1.85 (assume @p82 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t143) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t150))))) % 1.62/1.85 (assume @p83 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t37))))) % 1.62/1.85 (assume @p84 (forall @t6 (=> @t154 (forall @t27 (=> @t153 (=> @t151 (and @t152 @t151))))))) % 1.62/1.85 (assume @p85 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t155))))) % 1.62/1.85 (assume @p86 (forall @t6 (=> @t5 (=> (and @t31 @t39 @t30) (and @t33 @t31 @t39 @t37))))) % 1.62/1.85 (assume @p87 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t38 @t49 @t36 @t155) (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t155 @t42))))) % 1.62/1.85 (assume @p88 (forall @t75 (=> @t159 (= @t156 (tptp.unordered_pair_as_carrier_subset @t1 @t69 @t11))))) % 1.62/1.85 (assume @p89 (forall @t19 (= @t160 (tptp.unordered_pair @t11 @t1)))) % 1.62/1.85 (assume @p90 (forall @t19 (= @t162 @t161))) % 1.62/1.85 (assume @p91 (forall @t75 (=> @t165 (= @t163 (tptp.join_commut @t1 @t69 @t11))))) % 1.62/1.85 (assume @p92 (forall @t19 (= @t167 @t166))) % 1.62/1.85 (assume @p93 (forall @t75 (=> @t170 (= @t168 (tptp.meet_commut @t1 @t69 @t11))))) % 1.62/1.85 (assume @p94 (forall @t75 (=> @t173 (= @t171 (tptp.subset_union2 @t1 @t69 @t11))))) % 1.62/1.85 (assume @p95 (forall @t75 (=> @t173 (= @t174 (tptp.subset_intersection2 @t1 @t69 @t11))))) % 1.62/1.85 (assume @p96 (forall @t19 (=> @t176 (or @t175 (tptp.ordinal_subset @t11 @t1))))) % 1.62/1.85 (assume @p97 (forall @t19 (=> @t185 (= @t184 (forall @t182 (= @t181 (and @t179 @t178))))))) % 1.62/1.85 (assume @p98 (forall @t19 (= @t188 (and @t187 @t186)))) % 1.62/1.85 (assume @p99 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (=> @t196 (= (= @t69 @t195) (and @t194 @t193)))))))) % 1.62/1.85 (assume @p100 (forall @t6 (=> @t17 (= @t198 (tptp.identity_as_relation_of @t3))))) % 1.62/1.85 (assume @p101 (forall @t6 (=> @t93 (forall @t197 (=> @t95 (= (= @t69 @t205) (forall @t204 (= @t203 (and @t202 @t201))))))))) % 1.62/1.85 (assume @p102 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (= @t211 (exists @t192 (and @t210 (forall @t209 (=> @t208 (=> @t207 @t206)))))))))))) % 1.62/1.85 (assume @p103 (forall @t6 (=> @t5 (= @t216 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 1.62/1.85 (assume @p104 (forall @t6 (=> @t222 (forall @t197 (= @t221 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t218) @t217 (= @t177 (tptp.apply @t1 @t199))))))))))) % 1.62/1.85 (assume @p105 (forall @t19 (=> @t185 (forall @t140 (=> @t95 (= (= @t69 @t224) (forall @t204 (= @t203 (and @t223 (tptp.in @t200 @t11)))))))))) % 1.62/1.85 (assume @p106 (forall @t6 (=> @t93 (= @t226 (tptp.is_antisymmetric_in @t1 @t225))))) % 1.62/1.85 (assume @p107 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (= @t227 (forall @t192 (=> @t210 (exists @t209 (and @t208 @t207 @t206))))))))))) % 1.62/1.85 (assume @p108 (forall @t6 (=> @t215 (forall @t27 (=> @t243 (forall @t140 (=> @t241 (= @t238 (exists @t192 (and @t237 (tptp.quasi_total @t177 @t229 @t14) (tptp.relation_of2_as_subset @t177 @t229 @t14) (= @t236 (tptp.function_of_composition @t229 @t14 @t3 @t177 @t12)) (forall @t209 (=> @t208 (exists @t235 (and @t234 (forall @t233 (=> @t232 (=> @t231 (tptp.related @t11 @t199 (tptp.apply_on_set_and_struct @t229 @t11 @t177 @t228))))))))))))))))))) % 1.62/1.85 (assume @p109 (forall @t6 (=> @t222 (forall @t197 (= @t246 (forall @t192 (= @t219 (and @t245 (tptp.in @t244 @t11))))))))) % 1.62/1.85 (assume @p110 (forall @t6 (=> @t249 (= @t78 (exists @t27 (and @t158 @t248)))))) % 1.62/1.85 (assume @p111 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (forall @t140 (=> @t252 (= (= @t69 @t251) (forall @t192 (=> (tptp.in @t177 @t3) (= @t219 (forall @t209 (=> @t250 (not (and (tptp.open_subset @t199 @t1) (tptp.in @t177 @t199) (tptp.disjoint @t11 @t199)))))))))))))))) % 1.62/1.85 (assume @p112 (forall @t6 (=> @t93 (forall @t197 (= @t221 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t253 @t1) @t217))))))))) % 1.62/1.85 (assume @p113 (forall @t6 (=> @t5 (forall @t27 (=> @t254 (= @t153 (and (tptp.subset @t14 @t3) (tptp.subset @t13 @t2)))))))) % 1.62/1.85 (assume @p114 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t182 (=> (and @t258 (tptp.subnetstr @t177 @t1 @t11)) (= @t257 (and (tptp.full_subrelstr @t177 @t11) (tptp.subrelstr @t177 @t11) (= @t255 (tptp.function_invverse_img_as_carrier_subset @t11 @t1 @t12 @t69))))))))))) % 1.62/1.85 (assume @p115 (forall @t6 (=> @t93 (forall @t197 (= @t246 (forall @t192 (= @t219 (exists @t209 (and @t201 @t217))))))))) % 1.62/1.85 (assume @p116 (forall @t6 (=> @t93 (= @t259 (tptp.is_connected_in @t1 @t225))))) % 1.62/1.85 (assume @p117 (forall @t6 (=> @t5 (forall @t27 (=> @t153 (= @t151 (= @t13 (tptp.relation_restriction_as_relation_of @t2 @t14)))))))) % 1.62/1.85 (assume @p118 (forall @t6 (=> @t261 (forall @t27 (=> @t158 (forall @t140 (= @t260 (forall @t192 (=> @t191 (=> @t219 (tptp.below @t1 @t11 @t177))))))))))) % 1.62/1.85 (assume @p119 (forall @t6 (=> @t249 (=> @t78 (forall @t27 (=> @t158 (= (= @t11 @t262) @t248))))))) % 1.62/1.85 (assume @p120 (forall @t6 (=> @t93 (= @t94 (tptp.is_transitive_in @t1 @t225))))) % 1.62/1.85 (assume @p121 (forall @t6 (=> @t261 (forall @t27 (=> @t158 (forall @t140 (= (tptp.latt_element_smaller @t1 @t11 @t69) (forall @t192 (=> @t191 (=> @t219 (tptp.below @t1 @t177 @t11))))))))))) % 1.62/1.85 (assume @p122 (forall @t6 (=> @t264 (forall @t27 (=> @t243 (forall @t140 (=> @t252 (= (= @t69 @t263) (forall @t192 (=> @t191 (= @t219 (forall @t209 (=> (tptp.point_neighbourhood @t199 @t1 @t177) (tptp.is_eventually_in @t1 @t11 @t199)))))))))))))) % 1.62/1.85 (assume @p123 (forall @t6 (=> @t222 (forall @t197 (= (tptp.apply_binary @t1 @t11 @t69) (tptp.apply @t1 @t265)))))) % 1.62/1.85 (assume @p124 (forall @t6 (=> @t264 (forall @t27 (=> @t158 (forall @t140 (=> @t252 (= @t267 (tptp.in @t11 @t266))))))))) % 1.62/1.85 (assume @p125 (forall @t270 (= (= @t177 (tptp.unordered_triple @t1 @t11 @t69)) (forall @t209 (= @t269 (not (and (not (= @t199 @t1)) (not (= @t199 @t11)) (not @t268)))))))) % 1.62/1.85 (assume @p126 (forall @t6 (= @t65 (exists @t27 (and @t185 @t134 (= @t272 @t1) (tptp.in @t271 tptp.omega)))))) % 1.62/1.85 (assume @p127 (forall @t6 (= @t68 (forall @t275 (=> (and @t274 @t273) @t178))))) % 1.62/1.85 (assume @p128 (forall @t75 (=> @t280 (and (=> (=> @t278 @t277) (= @t70 (= @t1 @t279))) (=> @t278 (or @t277 (= @t70 @t276))))))) % 1.62/1.85 (assume @p129 (forall @t19 (=> (and (tptp.strict_latt_str @t11) @t283) (= (= @t11 @t282) (and (= @t14 @t56) (forall @t140 (=> @t172 (forall @t192 (=> @t281 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t69 @t177) (tptp.subset_union2 @t1 @t69 @t177)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t69 @t177) (tptp.subset_intersection2 @t1 @t69 @t177)))))))))))) % 1.62/1.85 (assume @p130 (forall @t6 (=> @t285 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t284 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t69))))))))) % 1.62/1.85 (assume @p131 (forall @t6 (=> @t288 (forall @t27 (= (= @t11 (tptp.pair_first @t1)) (forall @t182 (=> @t287 @t286))))))) % 1.62/1.85 (assume @p132 (forall @t6 (= @t290 (tptp.set_union2 @t1 @t289)))) % 1.62/1.85 (assume @p133 (forall @t6 (=> @t103 (= @t104 (and (tptp.in @t3 @t291) (forall @t27 (=> @t295 (=> (tptp.subset @t11 @t291) (tptp.in @t293 @t291)))) (forall @t27 (=> @t102 (forall @t140 (=> @t252 (=> (and @t292 (tptp.in @t69 @t291)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t69) @t291))))))))))) % 1.62/1.85 (assume @p134 (forall @t6 (= @t93 (forall @t27 (not (and @t20 (forall @t182 (not (= @t11 @t180))))))))) % 1.62/1.85 (assume @p135 (forall @t6 (=> @t93 (forall @t27 (= @t297 (forall @t140 (=> @t296 (tptp.in (tptp.ordered_pair @t69 @t69) @t1)))))))) % 1.62/1.85 (assume @p136 (forall @t75 (= @t74 (tptp.subset @t69 @t96)))) % 1.62/1.85 (assume @p137 (forall @t19 (and (=> @t301 (= @t298 (forall @t140 (= @t296 (forall @t192 (=> @t300 @t299)))))) (=> @t277 (= @t298 @t278))))) % 1.62/1.85 (assume @p138 (forall @t6 (=> @t17 (= @t32 @t302)))) % 1.62/1.85 (assume @p139 (forall @t19 (= (= @t11 @t289) (forall @t140 (= @t296 (= @t69 @t1)))))) % 1.62/1.85 (assume @p140 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t304 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t303)))))))) % 1.62/1.85 (assume @p141 (forall @t6 (=> @t103 (forall @t27 (=> @t295 (= @t306 (forall @t140 (=> @t252 (=> @t296 @t305))))))))) % 1.62/1.85 (assume @p142 (forall @t6 (=> @t5 (forall @t27 (=> @t102 (= @t107 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (not (and @t296 @t202 (forall @t209 (=> @t308 (not (and @t217 (tptp.related @t1 @t69 @t199) @t307)))))))))))))))) % 1.62/1.85 (assume @p143 (forall @t6 (=> @t93 (forall @t197 (= (= @t69 (tptp.fiber @t1 @t11)) (forall @t192 (= @t219 (and (not @t309) (tptp.in (tptp.ordered_pair @t177 @t11) @t1))))))))) % 1.62/1.85 (assume @p144 (forall @t19 (=> @t185 (= (= @t11 @t312) (and (= @t311 @t1) (forall @t182 (=> (and @t179 @t300) (= @t181 @t310)))))))) % 1.62/1.85 (assume @p145 (forall @t6 (= @t277 (forall @t27 @t21)))) % 1.62/1.85 (assume @p146 @t317) % 1.62/1.85 (assume @p147 (forall @t6 (= @t319 (tptp.rel_str_of @t1 @t318)))) % 1.62/1.85 (assume @p148 (forall @t19 (= (= @t11 @t56) (forall @t140 (= @t296 (tptp.subset @t69 @t1)))))) % 1.62/1.85 (assume @p149 (forall @t6 (=> @t5 (forall @t27 (=> @t102 (= @t321 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (=> (and @t296 @t320) @t202))))))))))) % 1.62/1.85 (assume @p150 (forall @t6 (=> @t261 (=> @t323 (forall @t197 (=> @t157 (= (= @t69 @t322) (and (tptp.latt_element_smaller @t1 @t69 @t11) (forall @t192 (=> @t191 (=> (tptp.latt_element_smaller @t1 @t177 @t11) (tptp.below @t1 @t69 @t177)))))))))))) % 1.62/1.85 (assume @p151 (forall @t6 (=> @t261 (forall @t27 (= @t324 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 1.62/1.85 (assume @p152 (forall @t6 (= (tptp.centered @t1) (and @t301 (forall @t27 (not (and @t326 @t186 @t114 (= @t325 tptp.empty_set)))))))) % 1.62/1.85 (assume @p153 (forall @t6 (=> @t329 (= @t328 (tptp.rel_str_of @t3 @t327))))) % 1.62/1.85 (assume @p154 (forall @t6 (=> @t249 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t247 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t69))))))))) % 1.62/1.85 (assume @p155 (forall @t6 (=> @t288 (forall @t27 (= (= @t11 (tptp.pair_second @t1)) (forall @t182 (=> @t287 @t330))))))) % 1.62/1.85 (assume @p156 (forall @t6 (= @t90 (forall @t27 (=> @t20 @t186))))) % 1.62/1.85 (assume @p157 (forall @t6 (=> @t17 (= @t331 tptp.empty_set)))) % 1.62/1.85 (assume @p158 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= @t188 (forall @t182 (= @t332 @t181)))))))) % 1.62/1.85 (assume @p159 (forall @t19 (and (=> @t148 (= @t26 @t20)) (=> @t54 (= @t26 @t100))))) % 1.62/1.85 (assume @p160 (forall @t75 (= (= @t69 @t160) (forall @t192 (= @t219 (or @t333 @t309)))))) % 1.62/1.85 (assume @p161 (forall @t19 (=> @t26 (= (tptp.proper_element @t11 @t1) (not @t335))))) % 1.62/1.85 (assume @p162 (forall @t6 (=> @t103 (forall @t27 (=> @t295 (= @t337 @t336)))))) % 1.62/1.85 (assume @p163 (forall @t6 (=> @t93 (= @t338 (forall @t27 (not (and (tptp.subset @t11 @t225) @t326 (forall @t140 (not (and @t296 (tptp.disjoint (tptp.fiber @t1 @t69) @t11))))))))))) % 1.62/1.85 (assume @p164 (forall @t75 (= (= @t69 @t162) (forall @t192 (= @t219 (or @t300 @t202)))))) % 1.62/1.85 (assume @p165 (forall @t6 (=> @t5 (= @t41 @t341)))) % 1.62/1.85 (assume @p166 (forall @t6 (= @t342 (tptp.poset_of_lattice @t282)))) % 1.62/1.85 (assume @p167 (forall @t75 (= (= @t69 @t96) (forall @t192 (= @t219 (exists @t345 (and @t223 @t344 (= @t177 @t343)))))))) % 1.62/1.85 (assume @p168 (forall @t6 (=> @t103 (= @t350 (forall @t27 (=> @t295 (not (and @t349 @t306 (forall @t140 (=> @t348 (not (and @t347 (tptp.is_a_cover_of_carrier @t1 @t69) @t346)))))))))))) % 1.62/1.85 (assume @p169 (forall @t6 (=> @t329 (forall @t27 (=> @t158 (= @t351 @t11)))))) % 1.62/1.85 (assume @p170 (forall @t6 (=> @t285 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t352 (= @t284 @t69))))))))) % 1.62/1.85 (assume @p171 (forall @t6 (= @t89 (forall @t197 (not (and @t20 @t179 (not @t355) @t354 @t353)))))) % 1.62/1.85 (assume @p172 (forall @t6 (=> @t17 (= @t356 @t3)))) % 1.62/1.85 (assume @p173 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= @t187 (forall @t182 (=> @t332 @t181)))))))) % 1.62/1.85 (assume @p174 (forall @t19 (= @t187 @t357))) % 1.62/1.85 (assume @p175 (forall @t6 (=> @t93 (forall @t27 (= @t359 (forall @t140 (not (and @t347 @t358 (forall @t192 (not (and @t219 (tptp.disjoint (tptp.fiber @t1 @t177) @t69)))))))))))) % 1.62/1.85 (assume @p176 (forall @t75 (= (= @t69 @t167) (forall @t192 (= @t219 (and @t300 @t202)))))) % 1.62/1.85 (assume @p177 (forall @t6 (=> @t222 (forall @t197 (and (=> @t362 (= @t361 @t274)) (=> (not @t362) (= @t361 @t276))))))) % 1.62/1.85 (assume @p178 (forall @t6 (=> @t329 (forall @t27 (=> @t365 (= @t363 @t11)))))) % 1.62/1.85 (assume @p179 (forall @t6 (= @t64 @t91))) % 1.62/1.85 (assume @p180 (forall @t6 (=> @t93 (forall @t27 (= (= @t11 @t218) (forall @t140 (= @t296 (exists @t192 @t332)))))))) % 1.62/1.85 (assume @p181 (forall @t6 (=> @t93 (forall @t27 (= @t367 (forall @t182 (=> (and @t296 @t202 @t332 @t366) @t178))))))) % 1.62/1.85 (assume @p182 (forall @t6 (= @t368 @t1))) % 1.62/1.85 (assume @p183 (forall @t19 (= @t335 (forall @t140 (= @t296 (exists @t192 (and @t299 @t300))))))) % 1.62/1.85 (assume @p184 (forall @t6 (=> @t93 (= @t369 (and @t92 @t94 @t226 @t259 @t338))))) % 1.62/1.85 (assume @p185 (forall @t19 (= @t373 (exists @t140 (and @t95 @t71 @t118 @t372 (= @t370 @t11)))))) % 1.62/1.85 (assume @p186 (forall @t75 (= (= @t69 @t374) (forall @t192 (= @t219 (and @t300 (not @t202))))))) % 1.62/1.85 (assume @p187 (forall @t6 (=> @t5 (= @t46 (exists @t27 (and @t158 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 1.62/1.85 (assume @p188 (forall @t6 (=> @t222 (forall @t27 (= @t377 (forall @t140 (= @t296 (exists @t192 @t375)))))))) % 1.62/1.85 (assume @p189 (forall @t6 (=> @t5 (= @t41 (tptp.is_transitive_in @t2 @t3))))) % 1.62/1.85 (assume @p190 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t378 @t64 (forall @t27 (=> @t61 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t187))))))) % 1.62/1.85 (assume @p191 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t99 @t292)))))) % 1.62/1.85 (assume @p192 (forall @t6 (=> @t93 (forall @t27 (= @t377 (forall @t140 (= @t296 (exists @t192 @t366)))))))) % 1.62/1.85 (assume @p193 (forall @t19 (=> @t57 (= @t379 @t374)))) % 1.62/1.85 (assume @p194 (forall @t19 (= @t380 (tptp.unordered_pair @t160 @t289)))) % 1.62/1.85 (assume @p195 (forall @t6 (=> @t93 (forall @t27 (= (tptp.well_orders @t1 @t11) (and @t297 @t382 @t367 @t381 @t359)))))) % 1.62/1.85 (assume @p196 (forall @t6 (=> @t384 (= @t383 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (exists @t192 (and @t191 @t339 @t320)))))))))) % 1.62/1.85 (assume @p197 (forall @t6 (=> @t5 (= @t40 (tptp.is_antisymmetric_in @t2 @t3))))) % 1.62/1.85 (assume @p198 (forall @t6 (= @t378 (= @t1 @t334)))) % 1.62/1.85 (assume @p199 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t98 (tptp.open_subset @t385 @t1))))))) % 1.62/1.85 (assume @p200 (forall @t6 (=> @t93 (= @t225 (tptp.set_union2 @t218 @t376))))) % 1.62/1.85 (assume @p201 (forall @t6 (=> @t93 (forall @t27 (= @t381 (forall @t182 (not (and @t296 @t202 (not @t178) (not @t332) (not @t366))))))))) % 1.62/1.85 (assume @p202 (forall @t6 (=> @t93 (forall @t27 (= @t387 (tptp.set_intersection2 @t1 @t386)))))) % 1.62/1.85 (assume @p203 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= (= @t11 @t388) (forall @t182 (= @t181 @t366)))))))) % 1.62/1.85 (assume @p204 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t392 (forall @t192 (=> (and @t258 (tptp.net_str @t177 @t1)) (= (= @t177 @t391) (and (forall @t209 (= (tptp.in @t199 @t255) (exists @t235 (and @t390 @t389 (tptp.related @t11 @t69 @t230))))) (= (tptp.the_InternalRel @t177) (tptp.relation_restriction_as_relation_of @t13 @t255)) (= (tptp.the_mapping @t1 @t177) (tptp.partfun_dom_restriction @t14 @t3 @t12 @t255))))))))))))) % 1.62/1.85 (assume @p205 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t396 (= @t395 (and (= @t371 @t225) (= @t370 @t311) @t118 (forall @t204 (= @t201 (and (tptp.in @t177 @t225) (tptp.in @t199 @t225) (tptp.in (tptp.ordered_pair @t394 @t393) @t11))))))))))))) % 1.62/1.85 (assume @p206 (forall @t19 (= @t397 (= @t167 tptp.empty_set)))) % 1.62/1.85 (assume @p207 (forall @t6 (=> @t5 (forall @t27 (= @t402 (exists @t140 (and @t157 @t401 @t400 (forall @t192 (=> @t191 (=> (and @t399 (forall @t209 (=> @t308 (=> (tptp.relstr_set_smaller @t1 @t11 @t199) @t307)))) @t398)))))))))) % 1.62/1.85 (assume @p208 (forall @t6 (=> @t329 (= @t403 (tptp.a_1_0_filter_1 @t1))))) % 1.62/1.85 (assume @p209 (forall @t6 (=> @t222 (= @t115 (forall @t197 (=> (and @t362 (tptp.in @t69 @t218) (= @t360 (tptp.apply @t1 @t69))) @t286)))))) % 1.62/1.85 (assume @p210 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (= @t194 (forall @t192 (=> @t191 (=> @t202 @t320))))))))) % 1.62/1.85 (assume @p211 (forall @t6 (=> @t261 (= @t81 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= (tptp.join @t1 @t247 @t69) @t69))))))))) % 1.62/1.85 (assume @p212 (forall @t6 (=> @t17 (forall @t27 (=> @t295 (= @t349 (= @t356 @t293))))))) % 1.62/1.85 (assume @p213 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t95 (= (= @t69 @t404) (forall @t204 (= @t203 (exists @t235 (and (tptp.in (tptp.ordered_pair @t177 @t230) @t1) (tptp.in (tptp.ordered_pair @t230 @t199) @t11))))))))))))) % 1.62/1.85 (assume @p214 (forall @t6 (=> @t93 (forall @t27 (= @t382 (forall @t405 (=> (and @t296 @t202 @t217 @t332 @t201) (tptp.in (tptp.ordered_pair @t69 @t199) @t1)))))))) % 1.62/1.85 (assume @p215 (forall @t19 (=> @t408 (forall @t140 (=> (tptp.element @t69 @t407) (= (= @t69 @t406) (forall @t192 (=> @t281 (= @t219 (tptp.in (tptp.subset_complement @t1 @t177) @t11)))))))))) % 1.62/1.85 (assume @p216 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t392 (= @t409 (tptp.apply_on_structs @t11 @t1 @t12 @t69))))))))) % 1.62/1.85 (assume @p217 (forall @t19 (= @t24 (and @t187 @t410)))) % 1.62/1.85 (assume @p218 (forall @t6 (=> @t5 (forall @t27 (= @t196 (exists @t140 (and @t157 @t194 @t193 (forall @t192 (=> @t191 (=> (and @t190 (forall @t209 (=> @t308 (=> (tptp.relstr_element_smaller @t1 @t11 @t199) (tptp.related @t1 @t199 @t177))))) @t398)))))))))) % 1.62/1.85 (assume @p219 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t239 (= @t412 (and @t411 (= @t236 (tptp.relation_dom_restr_as_relation_of @t14 @t3 @t12 @t229))))))))))) % 1.62/1.85 (assume @p220 (forall @t6 (=> @t222 (=> @t115 (= @t413 @t388))))) % 1.62/1.85 (assume @p221 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (= @t401 (forall @t192 (=> @t191 (=> @t202 @t189))))))))) % 1.62/1.85 (assume @p222 (forall @t6 (=> @t5 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t340 (tptp.in @t265 @t2))))))))) % 1.62/1.85 (assume @p223 (forall @t6 (=> @t93 (= @t92 (tptp.is_reflexive_in @t1 @t225))))) % 1.62/1.85 (assume @p224 (forall @t6 (=> @t264 (forall @t27 (=> @t214 (forall @t140 (=> @t157 (= @t416 (forall @t192 (=> @t415 @t414)))))))))) % 1.62/1.85 (assume @p225 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (=> @t402 (= (= @t69 @t417) (and @t401 @t400)))))))) % 1.62/1.85 (assume @p226 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t412 (= @t418 (and (tptp.full_subrelstr @t69 @t11) @t411))))))))) % 1.62/1.85 (assume @p227 (forall @t19 (=> @t137 (and @t420 (tptp.rel_str @t419))))) % 1.62/1.85 (assume @p228 (forall @t270 (=> @t426 (and @t422 (tptp.net_str @t421 @t1))))) % 1.62/1.85 (assume @p229 (forall @t75 (=> @t434 (and @t428 (tptp.latt_str @t427))))) % 1.62/1.85 (assume @p230 (forall @t270 (=> @t438 (tptp.element @t436 (tptp.the_carrier @t435))))) % 1.62/1.85 (assume @p231 true) % 1.62/1.85 (assume @p232 (forall @t19 (=> (and @t33 @t104 @t103 @t213 @t152 @t242 @t16) (tptp.element @t263 @t101)))) % 1.62/1.85 (assume @p233 (forall @t19 (=> @t261 (tptp.element @t322 @t3)))) % 1.62/1.85 (assume @p234 (forall @t19 (=> @t261 (tptp.element @t324 @t3)))) % 1.62/1.85 (assume @p235 (forall @t270 (=> @t441 (tptp.element @t439 @t96)))) % 1.62/1.85 (assume @p236 (forall @t6 (and @t442 (tptp.latt_str @t282)))) % 1.62/1.85 (assume @p237 (forall @t75 (=> (and @t33 @t164 @t158 @t157) (tptp.element @t284 @t3)))) % 1.62/1.85 (assume @p238 (forall @t6 (tptp.element @t443 @t407))) % 1.62/1.85 (assume @p239 (forall @t6 (=> @t17 (tptp.element @t331 @t101)))) % 1.62/1.85 (assume @p240 (forall @t19 (=> @t93 (tptp.relation_of2_as_subset @t444 @t11 @t11)))) % 1.62/1.85 (assume @p241 (forall @t19 (=> @t445 (tptp.element @t304 @t101)))) % 1.62/1.85 (assume @p242 (forall @t270 (=> @t450 (tptp.element @t446 @t14)))) % 1.62/1.85 (assume @p243 (forall @t6 (tptp.relation @t312))) % 1.62/1.85 (assume @p244 (forall @t19 (=> @t451 (tptp.element @t313 (tptp.powerset (tptp.the_carrier (tptp.boole_POSet @t356))))))) % 1.62/1.85 (assume @p245 (forall @t19 (=> @t5 (tptp.element @t417 @t3)))) % 1.62/1.85 (assume @p246 (forall @t6 (and (tptp.reflexive @t318) (tptp.antisymmetric @t318) (tptp.transitive @t318) (tptp.v1_partfun1 @t318 @t1 @t1) (tptp.relation_of2_as_subset @t318 @t1 @t1)))) % 1.62/1.85 (assume @p247 (forall @t454 (=> @t453 (tptp.element @t452 @t69)))) % 1.62/1.85 (assume @p248 (forall @t6 (=> @t222 (and (tptp.relation @t413) (tptp.function @t413))))) % 1.62/1.85 (assume @p249 (forall @t6 (=> @t329 (and (tptp.reflexive @t327) (tptp.antisymmetric @t327) (tptp.transitive @t327) (tptp.v1_partfun1 @t327 @t3 @t3) (tptp.relation_of2_as_subset @t327 @t3 @t3))))) % 1.62/1.85 (assume @p250 (forall @t75 (=> (and @t33 @t169 @t158 @t157) (tptp.element @t247 @t3)))) % 1.62/1.85 (assume @p251 (forall @t270 (=> @t456 (and (tptp.function @t455) (tptp.relation_of2_as_subset @t455 @t1 @t11))))) % 1.62/1.85 (assume @p252 (forall @t6 (=> @t17 (tptp.element @t356 @t101)))) % 1.62/1.85 (assume @p253 (forall @t75 (=> @t159 (tptp.element @t156 @t101)))) % 1.62/1.85 (assume @p254 (forall @t6 (tptp.element @t368 @t56))) % 1.62/1.85 (assume @p255 (forall @t19 (=> @t93 (tptp.relation @t387)))) % 1.62/1.85 (assume @p256 (forall @t19 (=> @t5 (tptp.element @t195 @t3)))) % 1.62/1.85 (assume @p257 (forall @t6 (and @t457 (tptp.rel_str @t319)))) % 1.62/1.85 (assume @p258 (forall @t6 (=> @t329 (and @t461 @t460 @t459 @t458 (tptp.rel_str @t328))))) % 1.62/1.85 (assume @p259 (forall @t75 (=> @t165 (tptp.element @t163 @t3)))) % 1.62/1.85 (assume @p260 (forall @t19 (=> @t57 (tptp.element @t379 @t56)))) % 1.62/1.85 (assume @p261 (forall @t75 (=> @t462 (tptp.element @t409 @t3)))) % 1.62/1.85 (assume @p262 (forall @t6 (=> @t5 (tptp.element @t216 @t3)))) % 1.62/1.85 (assume @p263 (forall @t6 (and @t463 (tptp.rel_str @t342)))) % 1.62/1.85 (assume @p264 (forall @t270 (=> @t468 (tptp.element @t464 @t14)))) % 1.62/1.85 (assume @p265 (forall @t19 (=> (and @t33 @t79 @t10 @t158) (tptp.element @t351 @t364)))) % 1.62/1.85 (assume @p266 (forall @t75 (=> @t170 (tptp.element @t168 @t3)))) % 1.62/1.85 (assume @p267 (forall @t6 (=> @t93 @t469))) % 1.62/1.85 (assume @p268 (forall @t75 (=> @t74 (tptp.element @t279 @t56)))) % 1.62/1.85 (assume @p269 (forall @t75 (=> @t173 (tptp.element @t171 @t56)))) % 1.62/1.85 (assume @p270 (forall @t19 (=> (and @t33 @t79 @t10 @t365) (tptp.element @t363 @t3)))) % 1.62/1.85 (assume @p271 (forall @t6 (=> @t249 (tptp.element @t262 @t3)))) % 1.62/1.85 (assume @p272 (forall @t270 (=> @t471 (tptp.element @t470 @t101)))) % 1.62/1.85 (assume @p273 (forall @t19 (=> @t473 @t472))) % 1.62/1.85 (assume @p274 (forall @t75 (=> @t74 (tptp.element @t475 @t474)))) % 1.62/1.85 (assume @p275 (forall @t19 (=> @t408 (tptp.element @t476 @t56)))) % 1.62/1.85 (assume @p276 (forall @t75 (=> @t173 (tptp.element @t174 @t56)))) % 1.62/1.85 (assume @p277 (forall @t75 (=> @t462 (and @t477 (tptp.net_str @t391 @t1))))) % 1.62/1.85 (assume @p278 (forall @t6 (and (tptp.v1_partfun1 @t478 @t1 @t1) (tptp.relation_of2_as_subset @t478 @t1 @t1)))) % 1.62/1.85 (assume @p279 (forall @t19 (=> @t445 (tptp.element @t251 @t101)))) % 1.62/1.85 (assume @p280 (forall @t6 @t479)) % 1.62/1.85 (assume @p281 (forall @t19 (=> @t408 (tptp.element @t480 @t56)))) % 1.62/1.85 (assume @p282 (forall @t75 (=> @t173 (tptp.element @t481 @t56)))) % 1.62/1.85 (assume @p283 (forall @t75 (=> @t18 (and @t482 (tptp.subnetstr @t256 @t1 @t11))))) % 1.62/1.85 (assume @p284 (forall @t487 (=> @t486 (and (tptp.function @t483) (tptp.quasi_total @t483 @t1 @t69) (tptp.relation_of2_as_subset @t483 @t1 @t69))))) % 1.62/1.85 (assume @p285 (forall @t6 (=> @t17 (and (tptp.function @t198) (tptp.quasi_total @t198 @t3 @t3) (tptp.relation_of2_as_subset @t198 @t3 @t3))))) % 1.62/1.85 (assume @p286 (forall @t19 (=> @t93 @t488))) % 1.62/1.85 (assume @p287 (forall @t19 (=> @t408 (tptp.element @t406 @t407)))) % 1.62/1.85 (assume @p288 (forall @t270 (=> @t490 (tptp.element @t489 @t14)))) % 1.62/1.85 (assume @p289 (forall @t19 (=> (and @t33 @t10 @t213 @t283) (and (tptp.strict_latt_str @t435) (tptp.latt_str @t435))))) % 1.62/1.85 (assume @p290 (forall @t270 (=> @t492 (tptp.element @t491 @t11)))) % 1.62/1.85 (assume @p291 (forall @t19 (=> @t185 @t493))) % 1.62/1.85 (assume @p292 (forall @t270 (=> @t74 (tptp.relation_of2_as_subset @t494 @t1 @t11)))) % 1.62/1.85 (assume @p293 (forall @t6 (=> @t329 (tptp.relation @t403)))) % 1.62/1.85 (assume @p294 (forall @t6 (=> @t169 @t17))) % 1.62/1.85 (assume @p295 (forall @t6 (=> @t5 @t17))) % 1.62/1.85 (assume @p296 (forall @t6 (=> @t103 @t17))) % 1.62/1.85 (assume @p297 (forall @t6 (=> @t17 (forall @t27 (=> @t16 @t254))))) % 1.62/1.85 (assume @p298 (forall @t6 (=> @t164 @t17))) % 1.62/1.85 (assume @p299 (forall @t6 (=> @t10 (and @t169 @t164)))) % 1.62/1.85 (assume @p300 (forall @t19 (=> @t451 (forall @t140 (=> @t267 @t252))))) % 1.62/1.85 (assume @p301 (forall @t6 (=> @t5 (forall @t27 (=> @t153 @t254))))) % 1.62/1.85 (assume @p302 (forall @t19 (=> @t18 (forall @t140 (=> @t412 @t239))))) % 1.62/1.85 (assume @p303 (forall @t75 (=> @t280 @t97))) % 1.62/1.85 (assume @p304 (forall @t19 (=> @t495 (forall @t140 (=> @t238 @t241))))) % 1.62/1.85 (assume @p305 (forall @t6 (=> @t169 (and @t498 @t497 (tptp.relation_of2_as_subset @t7 @t496 @t3))))) % 1.62/1.85 (assume @p306 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 1.62/1.85 (assume @p307 (forall @t6 (=> @t103 (tptp.element @t291 @t294)))) % 1.62/1.85 (assume @p308 (forall @t19 (=> @t18 (and @t500 @t499 (tptp.relation_of2_as_subset @t12 @t14 @t3))))) % 1.62/1.85 (assume @p309 (forall @t6 (=> @t164 (and @t502 @t501 (tptp.relation_of2_as_subset @t8 @t496 @t3))))) % 1.62/1.85 (assume @p310 (exists @t6 @t169)) % 1.62/1.85 (assume @p311 (exists @t6 @t5)) % 1.62/1.85 (assume @p312 (exists @t6 @t103)) % 1.62/1.85 (assume @p313 (exists @t6 @t17)) % 1.62/1.85 (assume @p314 (forall @t6 (=> @t17 (exists @t27 @t16)))) % 1.62/1.85 (assume @p315 (exists @t6 @t164)) % 1.62/1.85 (assume @p316 (exists @t6 @t10)) % 1.62/1.85 (assume @p317 (forall @t19 (=> @t451 (exists @t140 @t267)))) % 1.62/1.85 (assume @p318 (forall @t19 (exists @t140 @t74))) % 1.62/1.85 (assume @p319 (forall @t6 (exists @t27 @t26))) % 1.62/1.85 (assume @p320 (forall @t6 (=> @t5 (exists @t27 @t153)))) % 1.62/1.85 (assume @p321 (forall @t19 (=> @t18 (exists @t140 @t412)))) % 1.62/1.85 (assume @p322 (forall @t19 (exists @t140 @t280))) % 1.62/1.85 (assume @p323 (forall @t19 (=> @t495 (exists @t140 @t238)))) % 1.62/1.85 (assume @p324 (forall @t19 (=> @t114 @t503))) % 1.62/1.85 (assume @p325 (forall @t19 (=> @t505 (and (tptp.empty @t504) (tptp.relation @t504))))) % 1.62/1.85 (assume @p326 (forall @t19 (=> @t65 @t503))) % 1.62/1.85 (assume @p327 (forall @t6 (=> @t54 (and (tptp.empty @t388) @t469)))) % 1.62/1.85 (assume @p328 (forall @t19 (=> @t65 (tptp.finite @t374)))) % 1.62/1.85 (assume @p329 (and @t508 @t507 @t506)) % 1.62/1.85 (assume @p330 (forall @t19 (=> (and @t93 @t68 @t114) (tptp.finite @t220)))) % 1.62/1.85 (assume @p331 (forall @t19 (=> @t510 (and @t488 (tptp.relation_empty_yielding @t205))))) % 1.62/1.85 (assume @p332 (forall @t6 (=> (and @t124 @t5) (and (not (tptp.empty @t2)) @t511)))) % 1.62/1.85 (assume @p333 (forall @t19 (=> @t512 (tptp.finite @t96)))) % 1.62/1.85 (assume @p334 (forall @t6 (=> @t384 (and @t513 (tptp.lower_relstr_subset @t356 @t1) (tptp.upper_relstr_subset @t356 @t1))))) % 1.62/1.85 (assume @p335 (forall @t19 (=> (and @t33 @t17 @t213 @t16) (and (not (tptp.empty @t12)) (tptp.relation @t12) @t500 @t499)))) % 1.62/1.85 (assume @p336 (forall @t75 (=> (and @t17 @t152 @t16) (and (tptp.transitive_relstr @t256) @t482 (tptp.full_subnetstr @t256 @t1 @t11))))) % 1.62/1.85 (assume @p337 (forall @t6 (and @t514 (tptp.finite @t289)))) % 1.62/1.85 (assume @p338 (forall @t6 (and @t515 (tptp.cup_closed @t56) (tptp.diff_closed @t56) (tptp.preboolean @t56)))) % 1.62/1.85 (assume @p339 (forall @t19 (=> (and @t93 @t68 @t185 @t134) (and @t472 (tptp.function @t404))))) % 1.62/1.85 (assume @p340 (forall @t6 (and @t530 @t442 @t529 @t528 @t527 @t526 @t525 @t524 @t523 @t522 @t521 @t520 @t519 @t518 @t517 @t516 (tptp.complete_latt_str @t282)))) % 1.62/1.85 (assume @p341 (forall @t6 (and @t530 @t442))) % 1.62/1.85 (assume @p342 (forall @t19 (=> (and @t148 @t137) (and (not (tptp.empty_carrier @t419)) @t420)))) % 1.62/1.85 (assume @p343 (forall @t6 @t531)) % 1.62/1.85 (assume @p344 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 1.62/1.85 (assume @p345 (forall @t6 (=> @t17 (and (tptp.empty @t331) (tptp.v1_membered @t331) (tptp.v2_membered @t331) (tptp.v3_membered @t331) (tptp.v4_membered @t331) (tptp.v5_membered @t331))))) % 1.62/1.85 (assume @p346 (forall @t19 (=> @t473 (tptp.relation @t167)))) % 1.62/1.85 (assume @p347 (forall @t6 (=> @t215 (not @t302)))) % 1.62/1.85 (assume @p348 (forall @t6 @t515)) % 1.62/1.85 (assume @p349 (forall @t6 (and @t544 @t463 @t543 @t542 @t541 @t540 @t539 @t538 @t537 @t536 @t535 @t534 @t533 @t532))) % 1.62/1.85 (assume @p350 (forall @t6 (and @t544 @t463 @t543 @t542 @t541 @t537 @t536 @t535 @t534 @t533 @t548 @t532 @t547 @t546 @t545 @t540 @t539 @t538))) % 1.62/1.85 (assume @p351 @t508) % 1.62/1.85 (assume @p352 (forall @t19 (=> (tptp.relation_of2 @t11 @t289 @t289) (and (not (tptp.empty_carrier @t549)) (tptp.strict_rel_str @t549) (tptp.trivial_carrier @t549))))) % 1.62/1.85 (assume @p353 (forall @t6 (=> @t329 (and @t552 @t461 @t460 @t459 @t458 @t551 @t550)))) % 1.62/1.85 (assume @p354 (forall @t19 (not (tptp.empty @t380)))) % 1.62/1.85 (assume @p355 (forall @t75 (=> (and @t33 @t17 @t213 @t242 @t16 @t392) (and (not (tptp.empty_carrier @t391)) @t477)))) % 1.62/1.85 (assume @p356 (forall @t19 (=> @t28 @t553))) % 1.62/1.85 (assume @p357 (forall @t19 (=> @t28 @t554))) % 1.62/1.85 (assume @p358 (forall @t19 (=> @t45 (and @t553 @t555)))) % 1.62/1.85 (assume @p359 (forall @t6 (=> (and @t64 @t112) (and @t531 @t558 @t557 @t556 (tptp.natural @t290))))) % 1.62/1.85 (assume @p360 (forall @t19 (and @t559 (tptp.finite @t160)))) % 1.62/1.85 (assume @p361 (forall @t6 (and @t479 @t560))) % 1.62/1.85 (assume @p362 (forall @t6 (=> @t563 (and @t562 @t502 @t501 (tptp.v1_binop_1 @t8 @t3) @t561)))) % 1.62/1.85 (assume @p363 (forall @t6 (and @t530 @t442 @t529 @t528 @t527 @t526 @t525 @t524 @t523))) % 1.62/1.85 (assume @p364 (forall @t6 (=> (and @t31 @t41 @t40 @t5) (and @t511 (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 1.62/1.85 (assume @p365 (and @t507 @t506 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t508 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.62/1.85 (assume @p366 (forall @t6 (and @t479 @t560 (tptp.reflexive @t183) (tptp.symmetric @t183) (tptp.antisymmetric @t183) (tptp.transitive @t183)))) % 1.62/1.85 (assume @p367 (forall @t6 (=> @t215 @t513))) % 1.62/1.85 (assume @p368 (forall @t19 (=> @t473 (tptp.relation @t162)))) % 1.62/1.85 (assume @p369 (forall @t6 @t514)) % 1.62/1.85 (assume @p370 (forall @t19 (=> @t564 (tptp.closed_subset @t251 @t1)))) % 1.62/1.85 (assume @p371 (forall @t6 (=> (and @t39 @t5) @t565))) % 1.62/1.85 (assume @p372 (forall @t6 (=> @t148 (and @t544 (not (tptp.trivial_carrier @t342)) @t463 @t543 @t542 @t541 @t537 @t536 @t535 @t534 @t533 @t548 @t532 @t547 @t546 @t545 @t540 @t539 @t538)))) % 1.62/1.85 (assume @p373 (forall @t19 (=> @t148 (not (tptp.empty @t162))))) % 1.62/1.85 (assume @p374 (forall @t6 (=> @t384 @t513))) % 1.62/1.85 (assume @p375 (forall @t6 (=> (and @t33 @t79 @t77 @t10) (and @t552 @t461 @t460 @t459 @t458 @t566 @t551 @t550)))) % 1.62/1.85 (assume @p376 (forall @t19 (=> @t45 (and @t554 @t567)))) % 1.62/1.85 (assume @p377 (forall @t19 (=> @t48 (and @t553 @t555 @t568)))) % 1.62/1.85 (assume @p378 (forall @t19 (=> @t48 (and @t554 @t567 @t569)))) % 1.62/1.85 (assume @p379 (forall @t19 (=> @t51 (and @t553 @t555 @t568 @t570)))) % 1.62/1.85 (assume @p380 (forall @t19 (=> @t51 (and @t554 @t567 @t569 @t571)))) % 1.62/1.85 (assume @p381 (forall @t19 (=> @t53 (and @t553 @t555 @t568 @t570 (tptp.v5_membered @t167))))) % 1.62/1.85 (assume @p382 (forall @t19 (=> @t53 (and @t554 @t567 @t569 @t571 (tptp.v5_membered @t166))))) % 1.62/1.85 (assume @p383 (forall @t19 (=> @t28 @t572))) % 1.62/1.85 (assume @p384 (forall @t19 (=> @t45 (and @t572 @t573)))) % 1.62/1.85 (assume @p385 (forall @t19 (=> @t48 (and @t572 @t573 @t574)))) % 1.62/1.85 (assume @p386 (forall @t6 (=> @t116 (and @t469 (tptp.function @t388))))) % 1.62/1.85 (assume @p387 (forall @t6 (=> (and @t33 @t84 @t164) (and @t562 @t502 @t501 (tptp.v2_binop_1 @t8 @t3) @t561)))) % 1.62/1.85 (assume @p388 (forall @t6 (and @t530 @t442 @t529 @t528 @t527 @t526 @t525 @t524 @t523 @t522 @t521 @t520 @t519 @t518 @t517 @t516))) % 1.62/1.85 (assume @p389 (forall @t75 (=> (and @t148 @t134 @t433 @t432 @t71 @t431 @t430) (and (not (tptp.empty_carrier @t427)) @t428)))) % 1.62/1.85 (assume @p390 (forall @t19 (=> (and @t135 @t576 @t575 @t136 @t137) (and @t420 (tptp.reflexive_relstr @t419) (tptp.transitive_relstr @t419) (tptp.antisymmetric_relstr @t419))))) % 1.62/1.85 (assume @p391 (forall @t6 (=> @t64 (and @t531 @t558 @t557 @t556)))) % 1.62/1.85 (assume @p392 (forall @t19 (=> @t473 (tptp.relation @t374)))) % 1.62/1.85 (assume @p393 (forall @t19 @t559)) % 1.62/1.85 (assume @p394 (forall @t19 (=> (and @t104 @t103 @t98 @t102) @t577))) % 1.62/1.85 (assume @p395 (forall @t6 (=> (and @t33 @t37 @t5) @t565))) % 1.62/1.85 (assume @p396 (forall @t19 (=> @t148 (not (tptp.empty @t161))))) % 1.62/1.85 (assume @p397 (forall @t6 (=> (and @t33 @t79 @t78 @t10) (and @t552 @t461 @t460 @t459 @t458 @t578 @t551 @t550)))) % 1.62/1.85 (assume @p398 (forall @t19 (=> @t51 (and @t572 @t573 @t574 @t579)))) % 1.62/1.85 (assume @p399 (forall @t19 (=> @t53 (and @t572 @t573 @t574 @t579 (tptp.v5_membered @t374))))) % 1.62/1.85 (assume @p400 (forall @t19 (=> @t222 (and @t488 (tptp.function @t205))))) % 1.62/1.85 (assume @p401 (forall @t6 (=> (and @t33 @t83 @t169) (and @t581 @t498 @t497 (tptp.v1_binop_1 @t7 @t3) @t580)))) % 1.62/1.85 (assume @p402 (forall @t6 (=> @t329 (and @t552 @t461 @t460 @t459 @t458)))) % 1.62/1.85 (assume @p403 (forall @t6 (=> @t64 (and (tptp.epsilon_transitive @t334) (tptp.epsilon_connected @t334) (tptp.ordinal @t334))))) % 1.62/1.85 (assume @p404 (and @t508 @t507)) % 1.62/1.85 (assume @p405 (forall @t19 (=> @t149 (not (tptp.empty @t96))))) % 1.62/1.85 (assume @p406 (forall @t19 (=> (and @t104 @t103 @t99 @t102) @t582))) % 1.62/1.85 (assume @p407 (forall @t6 (=> (and @t38 @t5) @t583))) % 1.62/1.85 (assume @p408 (forall @t6 (=> @t323 (and @t552 @t461 @t460 @t459 @t458 @t578 @t566 (tptp.bounded_relstr @t328) @t551 @t550 (tptp.complete_relstr @t328))))) % 1.62/1.85 (assume @p409 (forall @t19 (=> @t584 (and @t493 (tptp.function @t224))))) % 1.62/1.85 (assume @p410 (forall @t6 (=> (and @t33 @t82 @t169) (and @t581 @t498 @t497 (tptp.v2_binop_1 @t7 @t3) @t580)))) % 1.62/1.85 (assume @p411 (forall @t6 (=> @t105 @t585))) % 1.62/1.85 (assume @p412 (forall @t6 (=> @t587 (not @t586)))) % 1.62/1.85 (assume @p413 (forall @t6 (=> (and @t33 @t46 @t5) @t583))) % 1.62/1.85 (assume @p414 (forall @t6 (and @t457 @t590 @t589 @t588))) % 1.62/1.85 (assume @p415 (and @t508 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 1.62/1.85 (assume @p416 (forall @t6 (=> @t587 (not @t591)))) % 1.62/1.85 (assume @p417 (forall @t19 (=> @t564 @t592))) % 1.62/1.85 (assume @p418 (forall @t270 (=> (and @t17 @t141 @t425 @t237 @t424 @t423) (and (not (tptp.empty_carrier @t421)) @t422)))) % 1.62/1.85 (assume @p419 (forall @t6 (=> @t148 (and (not (tptp.empty_carrier @t319)) @t457 @t590 @t589 @t588)))) % 1.62/1.85 (assume @p420 (forall @t6 (=> @t54 (and @t586 (tptp.relation @t218))))) % 1.62/1.85 (assume @p421 (forall @t6 (and @t544 @t463 @t543 @t542 @t541))) % 1.62/1.85 (assume @p422 (forall @t6 (=> @t54 (and @t591 (tptp.relation @t376))))) % 1.62/1.85 (assume @p423 (forall @t6 (=> @t105 (and (tptp.open_subset @t356 @t1) @t585)))) % 1.62/1.85 (assume @p424 (forall @t6 (and @t544 @t463 @t543 @t542 @t541 @t537 @t536 @t535 @t540 @t539 @t538))) % 1.62/1.85 (assume @p425 (forall @t6 (and @t544 @t463 @t543 @t542 @t541 @t537 @t536 @t535 (tptp.directed_relstr @t342) @t534 @t533 @t548 @t540 @t539 @t538))) % 1.62/1.85 (assume @p426 (forall @t19 (=> @t512 (tptp.finite @t162)))) % 1.62/1.85 (assume @p427 (forall @t19 (=> @t505 (and (tptp.empty @t404) @t472)))) % 1.62/1.85 (assume @p428 (forall @t6 (=> @t103 (tptp.dense @t356 @t1)))) % 1.62/1.85 (assume @p429 (forall @t6 (and @t544 @t463 @t543 @t542 @t541 @t540 @t539 @t538 @t537 @t536 @t535 @t534 @t533 @t532 @t546))) % 1.62/1.85 (assume @p430 (forall @t19 (=> @t593 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t182 (and @t392 @t210 (= @t1 (tptp.ordered_pair_as_product_element @t14 @t14 @t69 @t177)) (tptp.below_refl @t11 @t69 @t177))))))) % 1.62/1.85 (assume @p431 @t604) % 1.62/1.85 (assume @p432 (forall @t75 (=> (and @t213 @t283) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t69)) @t605)))) % 1.62/1.85 (assume @p433 (forall @t75 (=> (and @t213 @t437 (tptp.complete_latt_str @t11) @t283) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t69)) @t605)))) % 1.62/1.85 (assume @p434 (forall @t270 (=> (and @t213 @t449 @t240 (tptp.net_str @t69 @t11) (tptp.element @t177 @t229)) (= (tptp.in @t1 (tptp.a_3_0_waybel_9 @t11 @t69 @t177)) (exists @t209 (and (tptp.element @t199 @t229) @t606 (tptp.related @t69 @t177 @t199))))))) % 1.62/1.85 (assume @p435 (forall @t19 (=> @t137 (forall @t182 (=> (= @t419 (tptp.rel_str_of @t69 @t177)) @t608))))) % 1.62/1.85 (assume @p436 (forall @t270 (=> @t426 (forall (@list @t199 @t230 @t228 @t609) (=> (= @t421 (tptp.net_str_of @t199 @t230 @t228 @t609)) (and @t606 (= @t11 @t230) (= @t69 @t228) @t610)))))) % 1.62/1.85 (assume @p437 (forall @t75 (=> @t434 (forall @t612 (=> (= @t427 (tptp.latt_str_of @t177 @t199 @t230)) (and @t594 (= @t11 @t199) @t611)))))) % 1.62/1.85 (assume @p438 (forall @t19 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.62/1.85 (assume @p439 (forall @t19 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.62/1.85 (assume @p440 (forall @t75 (=> @t173 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 1.62/1.85 (assume @p441 (forall @t75 (=> @t173 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 1.62/1.85 (assume @p442 (forall @t19 (=> @t57 (= (tptp.subset_complement @t1 @t379) @t11)))) % 1.62/1.85 (assume @p443 (forall @t6 (=> @t93 (= (tptp.relation_inverse @t388) @t1)))) % 1.62/1.85 (assume @p444 (forall @t19 (=> @t408 (= (tptp.complements_of_subsets @t1 @t406) @t11)))) % 1.62/1.85 (assume @p445 (forall @t19 (not (tptp.proper_subset @t1 @t1)))) % 1.62/1.85 (assume @p446 (forall @t6 (=> @t93 (= @t92 (forall @t27 (=> @t613 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 1.62/1.85 (assume @p447 (forall @t6 (not (= @t289 tptp.empty_set)))) % 1.62/1.85 (assume @p448 (forall @t19 (=> @t22 (= (tptp.set_union2 @t289 @t11) @t11)))) % 1.62/1.85 (assume @p449 (forall @t19 (not (and @t614 @t22)))) % 1.62/1.85 (assume @p450 (forall @t19 (=> @t615 @t614))) % 1.62/1.85 (assume @p451 (forall @t19 (=> @t185 (tptp.subset (tptp.relation_dom @t224) @t271)))) % 1.62/1.85 (assume @p452 (forall @t6 (=> @t93 (= @t94 (forall @t275 (=> (and @t274 @t332) @t273)))))) % 1.62/1.85 (assume @p453 (forall @t19 (= (tptp.subset @t289 @t11) @t22))) % 1.62/1.85 (assume @p454 (forall @t19 (=> @t185 (not (and @t616 (tptp.equipotent @t1 @t311) (forall @t140 (=> @t95 (not (tptp.well_orders @t69 @t1))))))))) % 1.62/1.85 (assume @p455 (forall @t19 (= (= @t374 tptp.empty_set) @t187))) % 1.62/1.85 (assume @p456 (forall @t19 (=> @t57 (forall @t140 (=> @t296 @t179))))) % 1.62/1.85 (assume @p457 (forall @t6 (=> @t93 (= @t226 (forall @t197 (=> (and @t274 @t617) @t286)))))) % 1.62/1.85 (assume @p458 (forall @t75 (=> @t187 (or @t179 (tptp.subset @t1 (tptp.set_difference @t11 @t618)))))) % 1.62/1.85 (assume @p459 (forall @t6 (=> @t215 (forall @t27 (=> @t102 (forall @t140 (=> @t157 (= (tptp.in @t69 @t303) @t353)))))))) % 1.62/1.85 (assume @p460 (forall @t6 (=> @t93 (= @t259 (forall @t197 (not (and @t613 (tptp.in @t69 @t225) @t354 @t619 (not @t617)))))))) % 1.62/1.85 (assume @p461 (forall @t19 (= (tptp.subset @t1 @t620) (or @t277 (= @t1 @t620))))) % 1.62/1.85 (assume @p462 (forall @t19 (=> @t22 (tptp.subset @t1 @t621)))) % 1.62/1.85 (assume @p463 (forall @t270 (= (tptp.in @t380 (tptp.cartesian_product2 @t69 @t177)) (and @t622 (tptp.in @t11 @t177))))) % 1.62/1.85 (assume @p464 (forall @t19 (=> @t357 @t623))) % 1.62/1.85 (assume @p465 (forall @t75 (=> @t396 (= @t625 (and (tptp.in @t11 @t371) @t20))))) % 1.62/1.85 (assume @p466 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143 @t150 @t78 @t77))) % 1.62/1.85 (assume @p467 (forall @t6 (=> @t626 (exists @t27 (and @t102 @t141 @t106 @t321))))) % 1.62/1.85 (assume @p468 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))) % 1.62/1.85 (assume @p469 (forall @t6 (=> (and @t31 @t41 @t40 @t39 @t38 @t5) (exists @t27 (and @t102 @t141 @t107 @t106 @t627 @t321))))) % 1.62/1.85 (assume @p470 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t142))) % 1.62/1.85 (assume @p471 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t108))) % 1.62/1.85 (assume @p472 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143 @t78 @t77 @t76 @t142 @t144))) % 1.62/1.85 (assume @p473 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29))) % 1.62/1.85 (assume @p474 (exists @t6 (and @t148 @t90 @t89 @t64 @t112))) % 1.62/1.85 (assume @p475 (exists @t6 (and @t148 @t65))) % 1.62/1.85 (assume @p476 (exists @t6 @t222)) % 1.62/1.85 (assume @p477 (forall @t19 (exists @t140 (and @t74 @t95 @t71 @t70)))) % 1.62/1.85 (assume @p478 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t34))) % 1.62/1.85 (assume @p479 (exists @t6 (and @t148 @t28 @t45 @t48 @t51 @t53))) % 1.62/1.85 (assume @p480 (exists @t6 (and @t5 @t4))) % 1.62/1.85 (assume @p481 (exists @t6 @t127)) % 1.62/1.85 (assume @p482 (exists @t6 (and @t90 @t89 @t64 @t378))) % 1.62/1.85 (assume @p483 (exists @t6 (and @t93 @t68 @t115 @t54))) % 1.62/1.85 (assume @p484 (exists @t6 (and @t93 @t509 @t68))) % 1.62/1.85 (assume @p485 (exists @t6 (and @t54 @t93))) % 1.62/1.85 (assume @p486 (forall @t6 (=> @t148 (exists @t27 (and @t57 @t141))))) % 1.62/1.85 (assume @p487 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t99))))) % 1.62/1.85 (assume @p488 (forall @t6 (=> @t5 (exists @t27 (and @t102 @t107 @t106))))) % 1.62/1.85 (assume @p489 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t108 @t30 @t29))) % 1.62/1.85 (assume @p490 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34 @t36 @t129 @t138))) % 1.62/1.85 (assume @p491 (exists @t6 (and @t5 @t33 @t628 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t124 @t36 @t35 @t155 @t42 @t39 @t38))) % 1.62/1.85 (assume @p492 (exists @t6 @t54)) % 1.62/1.85 (assume @p493 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t122))) % 1.62/1.85 (assume @p494 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t124))) % 1.62/1.85 (assume @p495 (forall @t6 (exists @t27 (and @t57 @t100 @t185 @t134 @t133 @t63 @t62 @t61 @t52 @t114)))) % 1.62/1.85 (assume @p496 (exists @t6 @t117)) % 1.62/1.85 (assume @p497 (forall @t6 (exists @t27 (and @t137 @t185 @t134 @t133 @t132 @t131 @t130)))) % 1.62/1.85 (assume @p498 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34))) % 1.62/1.85 (assume @p499 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40))) % 1.62/1.85 (assume @p500 (exists @t6 (and @t93 @t68 @t115 @t54 @t90 @t89 @t64))) % 1.62/1.85 (assume @p501 (forall @t19 (exists @t140 (and @t74 @t95 @t71)))) % 1.62/1.85 (assume @p502 (exists @t6 @t587)) % 1.62/1.85 (assume @p503 (forall @t6 (exists @t27 (and @t57 @t100)))) % 1.62/1.85 (assume @p504 (forall @t6 (exists @t27 (and @t57 (not @t629))))) % 1.62/1.85 (assume @p505 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t99 @t98))))) % 1.62/1.85 (assume @p506 (forall @t6 (=> (and @t33 @t31 @t5) (exists @t27 (and @t102 @t141 @t114 @t107 @t106))))) % 1.62/1.85 (assume @p507 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29 @t129 @t138))) % 1.62/1.85 (assume @p508 (forall @t6 (exists @t27 (and @t408 @t141 @t114)))) % 1.62/1.85 (assume @p509 (exists @t6 @t148)) % 1.62/1.85 (assume @p510 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))) % 1.62/1.85 (assume @p511 (forall @t6 (=> @t148 (exists @t27 (and @t57 @t141 @t114))))) % 1.62/1.85 (assume @p512 (exists @t6 @t116)) % 1.62/1.85 (assume @p513 (exists @t6 (and @t10 @t9))) % 1.62/1.85 (assume @p514 (exists @t6 (and @t148 @t90 @t89 @t64))) % 1.62/1.85 (assume @p515 (forall @t6 (exists @t27 (and @t137 @t185 @t135 (tptp.symmetric @t11) @t576 @t575 @t136)))) % 1.62/1.85 (assume @p516 (exists @t6 @t510)) % 1.62/1.85 (assume @p517 (exists @t6 (and @t17 @t33))) % 1.62/1.85 (assume @p518 (forall @t6 (=> @t264 (exists @t27 (and @t102 @t141 @t99 @t98))))) % 1.62/1.85 (assume @p519 (forall @t6 (=> @t17 (exists @t27 (and @t295 @t141 @t114))))) % 1.62/1.85 (assume @p520 (forall @t6 (=> @t103 (exists @t27 (and @t102 @t100 @t55 @t58 @t59 @t60 @t111 @t121))))) % 1.62/1.85 (assume @p521 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t15))))) % 1.62/1.85 (assume @p522 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t35 @t155 @t42))) % 1.62/1.85 (assume @p523 (forall @t6 (=> (and @t33 @t628 @t31 @t41 @t40 @t37 @t5) (exists @t27 (and @t102 @t141 @t630 @t106 @t321))))) % 1.62/1.85 (assume @p524 (exists @t6 (and @t5 @t33 @t4 @t41 @t383))) % 1.62/1.85 (assume @p525 (forall @t6 (=> @t215 (exists @t27 (and @t102 @t141))))) % 1.62/1.85 (assume @p526 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t100 @t99 @t98 @t55 @t58 @t59 @t60 @t111 @t121 @t128))))) % 1.62/1.85 (assume @p527 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))) % 1.62/1.85 (assume @p528 (exists @t6 (and @t10 @t33 @t9))) % 1.62/1.85 (assume @p529 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t98))))) % 1.62/1.85 (assume @p530 (forall @t19 (=> @t18 (exists @t140 (and @t412 @t631 @t418))))) % 1.62/1.85 (assume @p531 (forall @t6 (=> @t264 (exists @t27 (and @t102 @t141 @t98))))) % 1.62/1.85 (assume @p532 (forall @t6 (=> @t5 (exists @t27 (and @t102 @t627 @t321))))) % 1.62/1.85 (assume @p533 (forall @t19 (=> (and @t17 @t213 @t16) (exists @t140 (and @t412 @t240 @t631 @t418))))) % 1.62/1.85 (assume @p534 (forall @t6 (=> @t384 (exists @t27 (and @t102 @t141 @t627 @t321))))) % 1.62/1.85 (assume @p535 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79))) % 1.62/1.85 (assume @p536 (forall @t6 (=> @t626 (exists @t27 (and @t102 @t141 @t107 @t627))))) % 1.62/1.85 (assume @p537 (forall @t270 (=> @t438 (= @t436 @t180)))) % 1.62/1.85 (assume @p538 (forall @t270 (=> @t441 (= @t439 @t180)))) % 1.62/1.85 (assume @p539 (forall @t6 (= @t443 @t56))) % 1.62/1.85 (assume @p540 (forall @t19 (=> @t93 (= @t444 @t387)))) % 1.62/1.85 (assume @p541 (forall @t270 (=> @t450 (= @t446 @t394)))) % 1.62/1.85 (assume @p542 (forall @t6 (= @t318 @t312))) % 1.62/1.85 (assume @p543 (forall @t454 (=> @t453 (= @t452 (tptp.apply_binary @t177 @t199 @t230))))) % 1.62/1.85 (assume @p544 (forall @t6 (=> @t329 (= @t327 @t403)))) % 1.62/1.85 (assume @p545 (forall @t270 (=> @t456 (= @t455 @t632)))) % 1.62/1.85 (assume @p546 (forall @t75 (=> @t159 (= @t156 @t633)))) % 1.62/1.85 (assume @p547 (forall @t75 (=> @t165 (= @t163 @t284)))) % 1.62/1.85 (assume @p548 (forall @t270 (=> @t468 (= @t464 @t394)))) % 1.62/1.85 (assume @p549 (forall @t75 (=> @t170 (= @t168 @t247)))) % 1.62/1.85 (assume @p550 (forall @t75 (=> @t74 (= @t279 @t371)))) % 1.62/1.85 (assume @p551 (forall @t75 (=> @t173 (= @t171 @t634)))) % 1.62/1.85 (assume @p552 (forall @t270 (=> @t471 (= @t470 (tptp.relation_inverse_image @t69 @t177))))) % 1.62/1.85 (assume @p553 (forall @t75 (=> @t74 (= @t475 @t370)))) % 1.62/1.85 (assume @p554 (forall @t19 (=> @t408 (= @t476 @t621)))) % 1.62/1.85 (assume @p555 (forall @t75 (=> @t173 (= @t174 @t635)))) % 1.62/1.85 (assume @p556 (forall @t6 (= @t478 @t183))) % 1.62/1.85 (assume @p557 (forall @t19 (=> @t408 (= @t480 @t325)))) % 1.62/1.85 (assume @p558 (forall @t75 (=> @t173 (= @t481 @t636)))) % 1.62/1.85 (assume @p559 (forall @t487 (=> @t486 (= @t483 @t637)))) % 1.62/1.85 (assume @p560 (forall @t270 (=> @t490 (= @t489 @t394)))) % 1.62/1.85 (assume @p561 (forall @t270 (=> @t492 (= @t491 @t394)))) % 1.62/1.85 (assume @p562 (forall @t270 (=> @t74 (= @t494 @t632)))) % 1.62/1.85 (assume @p563 (forall @t75 (= @t280 @t74))) % 1.62/1.85 (assume @p564 (forall @t19 (=> @t176 (= @t175 @t187)))) % 1.62/1.85 (assume @p565 (forall @t19 (= @t373 (tptp.are_equipotent @t1 @t11)))) % 1.62/1.85 (assume @p566 (forall @t75 (=> @t639 (= @t638 @t352)))) % 1.62/1.85 (assume @p567 (forall @t75 (=> @t640 (= (tptp.related_reflexive @t1 @t11 @t69) @t340)))) % 1.62/1.85 (assume @p568 (forall @t19 (=> @t176 (tptp.ordinal_subset @t1 @t1)))) % 1.62/1.85 (assume @p569 (forall @t19 (tptp.subset @t1 @t1))) % 1.62/1.85 (assume @p570 (forall @t19 (tptp.equipotent @t1 @t1))) % 1.62/1.85 (assume @p571 (forall @t75 (=> @t639 (tptp.below_refl @t1 @t11 @t11)))) % 1.62/1.85 (assume @p572 (forall @t75 (=> @t640 (tptp.related_reflexive @t1 @t11 @t11)))) % 1.62/1.85 (assume @p573 (forall @t19 (=> @t655 (=> @t654 (exists @t140 (and @t95 @t71 (forall @t204 (= @t203 (and @t300 @t300 (exists @t645 (and (= @t177 @t642) (tptp.in @t199 @t642) (forall @t644 (=> @t643 (tptp.in (tptp.ordered_pair @t199 @t641) @t11)))))))))))))) % 1.62/1.85 (assume @p574 (forall @t6 (=> @t658 (exists @t27 (and @t185 @t134 (forall @t182 (= @t181 (and @t179 @t179 (= @t177 @t618))))))))) % 1.62/1.85 (assume @p575 (forall @t19 (=> @t671 (=> @t670 (exists @t140 (and @t95 @t71 (forall @t204 (= @t203 (and @t664 @t664 @t662))))))))) % 1.62/1.85 (assume @p576 (forall @t19 (=> @t671 (=> @t672 (exists @t140 (and @t95 @t71 (forall @t204 (= @t203 (and @t202 @t202 @t662))))))))) % 1.62/1.85 (assume @p577 (forall @t6 (=> (exists @t27 (and @t61 @t20)) (exists @t27 (and @t61 @t20 (forall @t140 (=> @t673 (=> @t179 (tptp.ordinal_subset @t11 @t69))))))))) % 1.62/1.85 (assume @p578 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t697)) (not (and @t301 (forall @t27 (not (and @t20 (forall @t140 (=> (and @t179 @t696) (= @t69 @t11))))))))))) (forall @t192 (=> @t680 (=> @t695 (=> (tptp.in @t694 tptp.omega) (forall @t650 (=> (tptp.element @t609 (tptp.powerset (tptp.powerset @t694))) (not (and (not (= @t609 tptp.empty_set)) (forall @t649 (not (and @t648 (forall @t645 (=> (and (tptp.in @t642 @t609) (tptp.subset @t647 @t642)) (= @t642 @t647)))))))))))))) (forall @t192 (=> @t680 (=> (and (tptp.being_limit_ordinal @t177) (forall @t644 (=> (tptp.ordinal @t641) (=> (tptp.in @t641 @t177) (=> (tptp.in @t641 tptp.omega) (forall @t693 (=> (tptp.element @t689 (tptp.powerset (tptp.powerset @t641))) (not (and (not (= @t689 tptp.empty_set)) (forall @t692 (not (and @t691 (forall @t690 (=> (and (tptp.in @t688 @t689) (tptp.subset @t687 @t688)) (= @t688 @t687))))))))))))))) (or (= @t177 tptp.empty_set) (=> @t679 (forall @t686 (=> (tptp.element @t683 @t677) (not (and (not (= @t683 tptp.empty_set)) (forall @t685 (not (and (tptp.in @t681 @t683) (forall @t684 (=> (and (tptp.in @t682 @t683) (tptp.subset @t681 @t682)) (= @t682 @t681)))))))))))))))) (forall @t192 (=> @t680 (=> @t679 (forall @t678 (=> (tptp.element @t676 @t677) (not (and (not (= @t676 tptp.empty_set)) (forall (@list @t674) (not (and (tptp.in @t674 @t676) (forall (@list @t675) (=> (and (tptp.in @t675 @t676) (tptp.subset @t674 @t675)) (= @t675 @t674))))))))))))))) % 1.62/1.85 (assume @p579 (forall @t75 (=> @t701 (exists @t192 (and @t700 (forall @t345 (= (tptp.in @t343 @t177) (and @t223 @t699 (tptp.in (tptp.ordered_pair @t393 @t698) @t11))))))))) % 1.62/1.85 (assume @p580 (forall @t19 (=> @t655 (=> @t654 (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t223 @t223 (exists @t645 (and (= @t199 @t642) @t703 @t702))))))))))) % 1.62/1.85 (assume @p581 (forall @t19 (=> @t655 (forall @t140 (=> (forall @t612 (=> (and @t646 (exists @t713 (and @t712 @t710 (exists @t649 (and (= @t228 @t647) (tptp.in @t609 @t647) (forall @t645 (=> @t709 (tptp.in (tptp.ordered_pair @t609 @t642) @t11))))))) @t708 (exists @t707 (and (= @t706 @t230) (tptp.in @t641 @t1) (exists @t692 (and (= @t641 @t687) (tptp.in @t689 @t687) (forall @t690 (=> (tptp.in @t688 @t687) (tptp.in (tptp.ordered_pair @t689 @t688) @t11)))))))) @t705)) (exists @t192 (forall @t209 (= @t269 (exists @t235 (and (tptp.in @t230 @t704) @t389 (exists (@list @t683 @t681) (and (= (tptp.ordered_pair @t683 @t681) @t199) (tptp.in @t683 @t1) (exists @t684 (and (= @t683 @t682) (tptp.in @t681 @t682) (forall @t678 (=> (tptp.in @t676 @t682) (tptp.in (tptp.ordered_pair @t681 @t676) @t11))))))))))))))))) % 1.62/1.85 (assume @p582 (forall @t75 (=> @t720 (=> (forall @t612 (=> (and @t646 (exists @t233 (and @t718 (exists @t650 (and @t717 @t716 (tptp.relstr_set_smaller @t1 @t228 @t609))))) @t708 (exists @t649 (and (= @t647 @t230) (exists @t645 (and (tptp.element @t642 @t3) @t715 (tptp.relstr_set_smaller @t1 @t647 @t642)))))) @t705)) (exists @t192 (forall @t209 (= @t269 (exists @t235 (and (tptp.in @t230 @t714) @t389 (exists @t644 (and (= @t641 @t199) (exists @t693 (and (tptp.element @t689 @t3) (tptp.in @t689 @t11) (tptp.relstr_set_smaller @t1 @t641 @t689)))))))))))))) % 1.62/1.85 (assume @p583 (forall @t6 (=> @t658 (exists @t27 (forall @t140 (= @t296 (exists @t192 (and @t300 @t300 (= @t69 (tptp.singleton @t177)))))))))) % 1.62/1.85 (assume @p584 (forall @t19 (=> (forall @t405 (=> (and @t178 (exists @t727 (and (= @t726 @t177) @t699 (= @t228 (tptp.singleton @t230)))) @t725 (exists (@list @t609 @t647) (and (= (tptp.ordered_pair @t609 @t647) @t199) @t724 (= @t647 (tptp.singleton @t609))))) @t646)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t96) @t723 (exists @t722 (and (= @t721 @t177) (tptp.in @t642 @t1) (= @t641 (tptp.singleton @t642)))))))))))) % 1.62/1.85 (assume @p585 (forall @t6 (=> @t64 (=> (forall @t275 (=> (and @t286 (exists @t209 (and @t729 @t725 (=> (tptp.in @t199 tptp.omega) (forall @t235 (=> (tptp.element @t230 (tptp.powerset (tptp.powerset @t199))) @t728))))) @t330 (exists @t649 (and (tptp.ordinal @t647) (= @t177 @t647) (=> (tptp.in @t647 tptp.omega) (forall @t645 (=> (tptp.element @t642 (tptp.powerset (tptp.powerset @t647))) (not (and (not (= @t642 tptp.empty_set)) (forall @t644 (not (and @t643 (forall @t693 (=> (and (tptp.in @t689 @t642) (tptp.subset @t641 @t689)) (= @t689 @t641)))))))))))))) @t178)) (exists @t27 (forall @t140 (= @t296 (exists @t192 (and (tptp.in @t177 @t290) @t398 (exists @t692 (and (tptp.ordinal @t687) (= @t69 @t687) (=> (tptp.in @t687 tptp.omega) (forall @t690 (=> (tptp.element @t688 (tptp.powerset (tptp.powerset @t687))) (not (and (not (= @t688 tptp.empty_set)) (forall @t686 (not (and (tptp.in @t683 @t688) (forall @t685 (=> (and (tptp.in @t681 @t688) (tptp.subset @t683 @t681)) (= @t681 @t683)))))))))))))))))))))) % 1.62/1.85 (assume @p586 (forall @t19 (=> @t564 (=> (forall @t405 (=> (and @t178 (exists @t235 (and @t668 @t732 (tptp.closed_subset @t230 @t1) @t730)) @t725 (exists @t233 (and @t665 @t718 (tptp.closed_subset @t228 @t1) (tptp.subset @t11 @t199)))) @t646)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t731 @t723 (exists @t650 (and @t661 @t660 (tptp.closed_subset @t609 @t1) @t730))))))))))) % 1.62/1.85 (assume @p587 (forall @t19 (=> @t734 (=> (forall @t405 (=> (and @t178 @t733 @t725 (tptp.in (tptp.set_difference @t356 @t199) @t11)) @t646)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t731 @t723 @t733))))))))) % 1.62/1.85 (assume @p588 (forall @t19 (=> @t736 (=> (forall @t405 (=> (and @t178 (exists @t235 (and @t344 (= @t177 (tptp.set_difference @t230 @t289)))) @t725 (exists @t233 (and @t735 (= @t199 (tptp.set_difference @t228 @t289))))) @t646)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t56) @t723 (exists @t650 (and @t716 (= @t177 (tptp.set_difference @t609 @t289))))))))))))) % 1.62/1.85 (assume @p589 (forall @t19 (=> @t671 (=> @t670 (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t739 @t739 @t738))))))))) % 1.62/1.85 (assume @p590 (forall @t19 (=> @t671 (forall @t140 (=> (forall @t612 (=> (and @t646 (exists @t713 (and @t712 (tptp.in @t228 @t663) @t748)) @t708 (exists @t722 (and @t745 (tptp.in @t642 @t663) @t744))) @t705)) (exists @t192 (forall @t209 (= @t269 (exists @t235 (and (tptp.in @t230 @t743) @t389 (exists @t742 (and @t741 (tptp.in @t687 @t663) @t740)))))))))))) % 1.62/1.85 (assume @p591 (forall @t19 (=> @t671 (=> @t672 (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t217 @t217 @t738))))))))) % 1.62/1.85 (assume @p592 (forall @t19 (=> @t671 (forall @t140 (=> (forall @t612 (=> (and @t646 (exists @t713 (and @t712 @t735 @t748)) @t708 (exists @t722 (and @t745 @t715 @t744))) @t705)) (exists @t192 (forall @t209 (= @t269 (exists @t235 (and (tptp.in @t230 @t749) @t389 (exists @t742 (and @t741 (tptp.in @t687 @t11) @t740)))))))))))) % 1.62/1.85 (assume @p593 (forall @t75 (=> @t701 (=> (forall @t612 (=> (and @t646 (exists @t713 (and (= @t199 @t711) (tptp.in (tptp.ordered_pair @t750 (tptp.apply @t69 @t609)) @t11))) @t708 (exists (@list @t647 @t642) (and (= @t230 (tptp.ordered_pair @t647 @t642)) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t647) (tptp.apply @t69 @t642)) @t11)))) @t705)) (exists @t192 (forall @t209 (= @t269 (exists @t235 (and (tptp.in @t230 @t429) @t389 (exists @t707 (and (= @t199 @t706) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t641) (tptp.apply @t69 @t689)) @t11)))))))))))) % 1.62/1.85 (assume @p594 (forall @t6 (=> (forall @t275 (=> (and @t286 @t673 @t330 @t680) @t178)) (exists @t27 (forall @t140 (= @t296 (exists @t192 (and @t300 @t398 @t673)))))))) % 1.62/1.85 (assume @p595 (forall @t75 (=> @t753 (=> (forall @t612 (=> (and @t646 @t751 @t708 (tptp.in (tptp.relation_image @t69 @t230) @t11)) @t705)) (exists @t192 (forall @t209 (= @t269 (exists @t235 (and (tptp.in @t230 @t752) @t389 @t751))))))))) % 1.62/1.85 (assume @p596 (forall @t19 (=> @t61 (=> (forall @t405 (=> (and @t178 (exists @t235 (and (tptp.ordinal @t230) @t708 @t699)) @t725 (exists @t233 (and (tptp.ordinal @t228) @t755 @t710))) @t646)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t754) @t723 (exists @t650 (and (tptp.ordinal @t609) @t610 @t724))))))))))) % 1.62/1.85 (assume @p597 (forall @t19 (=> @t655 (forall @t140 (exists @t192 (forall @t209 (= @t269 (and (tptp.in @t199 @t704) (exists @t727 (and @t756 @t699 (exists @t650 (and (= @t230 @t609) (tptp.in @t228 @t609) (forall @t649 (=> @t648 (tptp.in (tptp.ordered_pair @t228 @t647) @t11))))))))))))))) % 1.62/1.85 (assume @p598 (forall @t75 (=> @t720 (exists @t192 (forall @t209 (= @t269 (and (tptp.in @t199 @t714) (exists @t235 (and @t389 @t757))))))))) % 1.62/1.85 (assume @p599 (forall @t19 (exists @t140 (forall @t192 (= @t219 (and (tptp.in @t177 @t96) (exists @t345 (and (= @t343 @t177) @t223 (= @t230 @t758))))))))) % 1.62/1.85 (assume @p600 (forall @t6 (=> @t64 (exists @t27 (forall @t140 (= @t296 (and (tptp.in @t69 @t290) (exists @t192 (and @t680 @t178 @t695))))))))) % 1.62/1.85 (assume @p601 (forall @t19 (=> @t564 (exists @t140 (forall @t192 (= @t219 (and @t760 @t759))))))) % 1.62/1.85 (assume @p602 (forall @t19 (=> @t734 (exists @t140 (forall @t192 (= @t219 (and @t760 @t733))))))) % 1.62/1.85 (assume @p603 (forall @t19 (=> @t736 (exists @t140 (forall @t192 (= @t219 (and (tptp.in @t177 @t56) (exists @t209 (and @t217 (= @t177 (tptp.set_difference @t199 @t289))))))))))) % 1.62/1.85 (assume @p604 (forall @t19 (=> @t671 (forall @t140 (exists @t192 (forall @t209 (= @t269 (and (tptp.in @t199 @t743) (exists @t727 (and @t756 (tptp.in @t230 @t663) @t761)))))))))) % 1.62/1.85 (assume @p605 (forall @t19 (=> @t671 (forall @t140 (exists @t192 (forall @t209 (= @t269 (and (tptp.in @t199 @t749) (exists @t727 (and @t756 @t344 @t761)))))))))) % 1.62/1.85 (assume @p606 (forall @t75 (=> @t701 (exists @t192 (forall @t209 (= @t269 (and (tptp.in @t199 @t429) (exists @t727 (and (= @t199 @t726) (tptp.in (tptp.ordered_pair @t698 @t750) @t11)))))))))) % 1.62/1.85 (assume @p607 (forall @t6 (exists @t27 (forall @t140 (= @t296 (and @t179 @t673)))))) % 1.62/1.85 (assume @p608 (forall @t75 (=> @t753 (exists @t192 (forall @t209 (= @t269 (and (tptp.in @t199 @t752) @t751))))))) % 1.62/1.85 (assume @p609 (forall @t19 (=> @t61 (exists @t140 (forall @t192 (= @t219 (and (tptp.in @t177 @t754) (exists @t209 (and @t729 @t646 @t223))))))))) % 1.62/1.85 (assume @p610 (forall @t75 (=> @t720 (=> (and @t346 (exists @t192 (and @t191 @t202 (tptp.relstr_set_smaller @t1 tptp.empty_set @t177))) (forall @t345 (=> (and @t762 (tptp.subset @t230 @t69) @t757) (exists @t650 (and @t717 @t716 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t230 @t758) @t609)))))) (exists @t649 (and (tptp.element @t647 @t3) (tptp.in @t647 @t11) (tptp.relstr_set_smaller @t1 @t69 @t647))))))) % 1.62/1.85 (assume @p611 (forall @t19 (=> @t655 (=> (and (forall @t405 (=> (and @t179 @t653 @t651) @t646)) (forall @t140 (not (and @t179 (forall @t192 (not (exists @t645 (and (= @t69 @t642) @t703 @t702)))))))) (exists @t140 (and @t95 @t71 @t372 (forall @t192 (=> @t300 (exists @t693 (and (= @t177 @t689) (tptp.in @t394 @t689) (forall @t692 (=> @t691 (tptp.in (tptp.ordered_pair @t394 @t687) @t11))))))))))))) % 1.62/1.85 (assume @p612 (forall @t6 (=> (and (forall @t275 (=> (and @t20 @t657 @t656) @t178)) (forall @t27 (not (and @t20 (forall @t140 (not @t657)))))) @t765))) % 1.62/1.85 (assume @p613 (forall @t19 (=> @t671 (=> (and (forall @t405 (=> (and @t667 @t669 @t666) @t646)) (forall @t140 (not (and @t667 @t767)))) (exists @t140 (and @t95 @t71 (= @t371 @t663) (forall @t192 (=> @t664 @t766)))))))) % 1.62/1.85 (assume @p614 (forall @t19 (=> @t671 (=> (and (forall @t405 (=> (and @t296 @t669 @t666) @t646)) (forall @t140 (not (and @t296 @t767)))) (exists @t140 (and @t95 @t71 (= @t371 @t11) (forall @t192 (=> @t202 @t766)))))))) % 1.62/1.85 (assume @p615 (=> (forall @t6 (=> @t64 (=> (forall @t27 (=> @t61 (=> @t20 (=> (tptp.in @t11 tptp.omega) (forall @t140 (=> (tptp.element @t69 (tptp.powerset @t474)) (not (and @t358 (forall @t192 (not (and @t219 (forall @t209 (=> (and @t762 (tptp.subset @t177 @t199)) @t723))))))))))))) (=> @t768 (forall @t235 (=> (tptp.element @t230 @t407) @t728)))))) (forall @t6 (=> @t64 (=> @t768 (forall @t649 (=> (tptp.element @t647 @t407) (not (and (not (= @t647 tptp.empty_set)) (forall @t645 (not (and @t709 (forall @t644 (=> (and (tptp.in @t641 @t647) (tptp.subset @t642 @t641)) (= @t641 @t642))))))))))))))) % 1.62/1.85 (assume @p616 (forall @t6 @t765)) % 1.62/1.85 (assume @p617 (forall @t19 (=> @t564 (exists @t140 (and @t348 (forall @t192 (=> @t769 (= @t219 @t759)))))))) % 1.62/1.85 (assume @p618 (forall @t19 (=> @t734 (exists @t140 (and @t348 (forall @t192 (=> @t769 (= @t219 @t733)))))))) % 1.62/1.85 (assume @p619 (forall @t19 (=> @t397 (tptp.disjoint @t11 @t1)))) % 1.62/1.85 (assume @p620 (forall @t19 (=> @t373 (tptp.equipotent @t11 @t1)))) % 1.62/1.85 (assume @p621 (forall @t6 (tptp.in @t1 @t290))) % 1.62/1.85 (assume @p622 (forall @t19 (=> @t408 (and @t771 (not (and (not @t770) @t278)))))) % 1.62/1.85 (assume @p623 (forall @t270 (not (and (= @t160 (tptp.unordered_pair @t69 @t177)) (not @t607) @t772)))) % 1.62/1.85 (assume @p624 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t69))) (and @t22 (tptp.in @t1 @t370)))))) % 1.62/1.85 (assume @p625 (forall @t19 (=> @t185 (tptp.subset @t773 @t1)))) % 1.62/1.85 (assume @p626 (forall @t19 (=> @t185 (tptp.subset @t224 @t11)))) % 1.62/1.85 (assume @p627 (forall @t19 (=> @t185 (tptp.subset @t773 @t272)))) % 1.62/1.85 (assume @p628 (forall @t75 (=> @t187 (and (tptp.subset @t704 @t749) (tptp.subset (tptp.cartesian_product2 @t69 @t1) (tptp.cartesian_product2 @t69 @t11)))))) % 1.62/1.85 (assume @p629 (forall @t19 (=> @t185 (= @t773 (tptp.set_intersection2 @t272 @t1))))) % 1.62/1.85 (assume @p630 (forall @t270 (=> (and @t187 @t310) (tptp.subset @t704 (tptp.cartesian_product2 @t11 @t177))))) % 1.62/1.85 (assume @p631 (forall @t19 (=> @t408 (=> @t326 (= @t774 (tptp.subset_complement @t1 @t476)))))) % 1.62/1.85 (assume @p632 (forall @t19 (=> @t778 (= @t775 (forall @t182 (=> (and @t310 (tptp.subset @t177 @t1) @t296) @t202)))))) % 1.62/1.85 (assume @p633 (forall @t75 (=> @t280 (and (tptp.subset @t371 @t1) (tptp.subset @t370 @t11))))) % 1.62/1.85 (assume @p634 (forall @t19 (=> @t408 (=> @t326 (= @t779 (tptp.subset_complement @t1 @t480)))))) % 1.62/1.85 (assume @p635 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t392 (= @t780 (tptp.a_3_0_waybel_9 @t1 @t11 @t69))))))))) % 1.62/1.85 (assume @p636 (forall @t19 (=> @t187 (= @t162 @t11)))) % 1.62/1.85 (assume @p637 (forall @t6 (exists @t27 (and @t22 @t782 (forall @t140 (=> @t296 (tptp.in @t714 @t11))) @t781)))) % 1.62/1.85 (assume @p638 (forall @t6 (=> @t264 (= @t350 (forall @t27 (=> @t295 (not (and (tptp.centered @t11) @t337 (= @t783 tptp.empty_set))))))))) % 1.62/1.85 (assume @p639 (forall @t19 (=> (and @t187 @t114) @t65))) % 1.62/1.85 (assume @p640 (forall @t6 (=> @t17 (forall @t27 (=> @t295 (= (tptp.finite @t663) @t114)))))) % 1.62/1.85 (assume @p641 (forall @t75 (=> @t95 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t69) @t11) (tptp.relation_rng_restriction @t1 @t784))))) % 1.62/1.85 (assume @p642 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_image @t69 @t11)) (exists @t192 (and (tptp.in @t177 @t371) (tptp.in (tptp.ordered_pair @t177 @t1) @t69) @t202)))))) % 1.62/1.85 (assume @p643 (forall @t19 (=> @t185 (tptp.subset @t785 @t272)))) % 1.62/1.85 (assume @p644 (forall @t19 (=> @t584 (tptp.subset @t787 @t1)))) % 1.62/1.85 (assume @p645 (forall @t19 (=> @t185 (= @t785 (tptp.relation_image @t11 @t788))))) % 1.62/1.85 (assume @p646 (forall @t19 (=> @t185 (=> (tptp.subset @t1 @t271) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t785)))))) % 1.62/1.85 (assume @p647 (forall @t6 (=> @t93 (= (tptp.relation_image @t1 @t218) @t376)))) % 1.62/1.85 (assume @p648 (forall @t19 (=> @t584 (=> @t789 (= @t787 @t1))))) % 1.62/1.85 (assume @p649 (forall @t270 (=> @t792 (=> (tptp.subset @t791 @t11) @t790)))) % 1.62/1.85 (assume @p650 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= (tptp.subset_intersection2 @t3 @t11 @t356) @t11)))))) % 1.62/1.85 (assume @p651 (forall @t6 (=> @t793 (forall @t27 (= @t402 (exists @t140 (and @t157 @t401 @t400))))))) % 1.62/1.85 (assume @p652 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= @t794 (tptp.relation_image @t11 @t376))))))) % 1.62/1.85 (assume @p653 (forall @t75 (=> @t95 (= (tptp.in @t1 @t795) (exists @t192 (and (tptp.in @t177 @t370) (tptp.in (tptp.ordered_pair @t1 @t177) @t69) @t202)))))) % 1.62/1.85 (assume @p654 (forall @t19 (=> @t185 (tptp.subset @t786 @t271)))) % 1.62/1.85 (assume @p655 (forall @t270 (=> @t792 (=> @t187 @t790)))) % 1.62/1.85 (assume @p656 (forall @t6 (=> @t103 (forall @t27 (=> @t295 (= @t337 (tptp.open_subsets @t663 @t1))))))) % 1.62/1.85 (assume @p657 (forall @t6 (=> @t215 (forall @t27 (=> (and @t213 @t242 @t16) (forall @t140 (=> @t392 (forall @t192 (=> @t210 (forall @t209 (=> (tptp.element @t199 @t780) (=> @t646 (= (tptp.apply_netmap @t1 @t11 @t177) (tptp.apply_netmap @t1 @t391 @t199)))))))))))))) % 1.62/1.85 (assume @p658 (forall @t75 (=> @t95 (= (tptp.in @t1 @t796) (and @t622 (tptp.in @t1 @t386)))))) % 1.62/1.85 (assume @p659 (forall @t6 (=> @t793 (forall @t27 (= @t196 (exists @t140 (and @t157 @t194 @t193))))))) % 1.62/1.85 (assume @p660 (forall @t19 (=> @t185 (not (and @t301 @t789 (= @t786 tptp.empty_set)))))) % 1.62/1.85 (assume @p661 (forall @t75 (=> @t95 (=> @t187 (tptp.subset (tptp.relation_inverse_image @t69 @t1) @t795))))) % 1.62/1.85 (assume @p662 (forall @t19 (=> @t584 (=> @t65 (tptp.finite @t785))))) % 1.62/1.85 (assume @p663 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= @t303 @t385)))))) % 1.62/1.85 (assume @p664 (forall @t6 (=> @t103 (forall @t27 (=> @t295 (= @t306 (tptp.closed_subsets @t663 @t1))))))) % 1.62/1.85 (assume @p665 (forall @t19 (=> @t185 (= @t797 (tptp.relation_dom_restriction @t224 @t1))))) % 1.62/1.85 (assume @p666 (forall @t19 (tptp.subset @t167 @t1))) % 1.62/1.85 (assume @p667 (forall @t6 (=> @t65 (forall @t27 (=> @t408 (not (and @t326 (forall @t140 (not (and @t296 (forall @t192 (=> (and @t202 @t310) @t398)))))))))))) % 1.62/1.85 (assume @p668 (forall @t19 (=> @t185 (= @t797 (tptp.relation_rng_restriction @t1 @t798))))) % 1.62/1.85 (assume @p669 (forall @t6 (= (tptp.bottom_of_relstr @t342) tptp.empty_set))) % 1.62/1.85 (assume @p670 (forall @t75 (=> @t95 (=> (tptp.in @t1 (tptp.relation_field @t796)) (and @t800 @t22))))) % 1.62/1.85 (assume @p671 (forall @t75 (=> (and @t187 @t801) (tptp.subset @t1 @t635)))) % 1.62/1.85 (assume @p672 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t412 (tptp.subset @t229 @t14)))))))) % 1.62/1.85 (assume @p673 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.62/1.85 (assume @p674 (forall @t19 (=> @t804 (forall @t140 (=> @t803 (and (= (tptp.join @t282 @t11 @t69) @t634) (= (tptp.meet @t282 @t11 @t69) @t635))))))) % 1.62/1.85 (assume @p675 (forall @t19 (=> @t22 @t805))) % 1.62/1.85 (assume @p676 (forall @t6 (=> (and @t33 @t41 @t5) (forall @t27 (=> @t102 (= (and @t141 @t107) (forall @t140 (=> (and @t346 @t719) (exists @t192 (and @t191 @t202 @t806)))))))))) % 1.62/1.85 (assume @p677 (forall @t75 (=> (and @t187 @t696) @t801))) % 1.62/1.85 (assume @p678 (forall @t6 (and (= (tptp.the_carrier @t319) @t1) (= (tptp.the_InternalRel @t319) @t318)))) % 1.62/1.85 (assume @p679 (= @t697 (tptp.singleton tptp.empty_set))) % 1.62/1.85 (assume @p680 (forall @t75 (=> @t95 (=> @t808 (and @t807 (tptp.in @t11 @t370)))))) % 1.62/1.85 (assume @p681 (forall @t19 (=> @t185 (and (tptp.subset @t809 @t311) (tptp.subset @t809 @t1))))) % 1.62/1.85 (assume @p682 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t412 (forall @t192 (=> @t210 (forall @t209 (=> @t208 (forall @t235 (=> @t234 (forall @t233 (=> @t232 (=> (and @t708 @t755 @t231) @t207)))))))))))))))) % 1.62/1.85 (assume @p683 (forall @t19 (=> @t584 (forall @t140 (=> @t396 (= @t812 (and @t807 (tptp.in @t810 @t271)))))))) % 1.62/1.85 (assume @p684 (forall @t270 (=> @t814 (forall @t209 (=> (and (tptp.relation @t199) @t484) (=> @t179 (or @t278 (= (tptp.apply @t637 @t69) (tptp.apply @t199 @t813))))))))) % 1.62/1.85 (assume @p685 (forall @t6 (=> @t90 (forall @t27 (=> @t61 (=> @t24 @t22)))))) % 1.62/1.85 (assume @p686 (forall @t6 (=> @t93 (tptp.subset @t1 (tptp.cartesian_product2 @t218 @t376))))) % 1.62/1.85 (assume @p687 (forall @t75 (=> @t95 (tptp.subset (tptp.fiber (tptp.relation_restriction @t69 @t1) @t11) (tptp.fiber @t69 @t11))))) % 1.62/1.85 (assume @p688 (forall @t6 (=> @t17 (forall @t27 (=> @t214 (forall @t140 (=> (and @t240 @t418 @t412) (forall @t192 (=> @t210 (forall @t209 (=> @t208 (forall @t235 (=> @t234 (forall @t233 (=> @t232 (=> (and @t708 @t755 @t207) @t231)))))))))))))))) % 1.62/1.85 (assume @p689 (forall @t19 (=> @t584 (forall @t140 (=> @t396 (=> @t812 (= (tptp.apply @t811 @t1) (tptp.apply @t11 @t810)))))))) % 1.62/1.85 (assume @p690 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= (tptp.subset_difference @t3 @t356 @t385) @t11)))))) % 1.62/1.85 (assume @p691 (forall @t75 (=> (tptp.relation_of2_as_subset @t69 @t11 @t1) (= (forall @t192 (not (and @t202 (forall @t209 (not @t203))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t69) @t11))))) % 1.62/1.85 (assume @p692 (forall @t19 (=> @t185 (=> @t135 (tptp.reflexive @t797))))) % 1.62/1.85 (assume @p693 (forall @t19 (=> @t584 (forall @t140 (=> @t396 (=> (tptp.in @t1 @t271) (= (tptp.apply (tptp.relation_composition @t11 @t69) @t1) (tptp.apply @t69 (tptp.apply @t11 @t1))))))))) % 1.62/1.85 (assume @p694 (forall @t6 (=> (and @t33 @t83 @t81 @t10) (forall @t27 (=> @t158 (forall @t140 (=> @t157 (tptp.below @t1 @t168 @t11)))))))) % 1.62/1.85 (assume @p695 (forall @t19 (=> @t61 (=> @t22 @t64)))) % 1.62/1.85 (assume @p696 (forall @t75 (=> @t280 (= (forall @t192 (not (and @t202 (forall @t209 (not (tptp.in @t253 @t69)))))) (= @t475 @t11))))) % 1.62/1.85 (assume @p697 (forall @t19 (=> @t185 (=> @t815 (tptp.connected @t797))))) % 1.62/1.85 (assume @p698 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (not (and @t615 @t410 @t21))))))) % 1.62/1.85 (assume @p699 (forall @t19 (=> @t185 (=> @t575 (tptp.transitive @t797))))) % 1.62/1.85 (assume @p700 (forall @t6 (=> @t793 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (=> (and @t340 (tptp.related @t1 @t69 @t11)) @t286)))))))) % 1.62/1.85 (assume @p701 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (=> @t187 (and (tptp.subset @t218 @t271) (tptp.subset @t376 @t272)))))))) % 1.62/1.85 (assume @p702 (forall @t19 (=> @t185 (=> @t576 (tptp.antisymmetric @t797))))) % 1.62/1.85 (assume @p703 (forall @t19 (=> @t185 (=> @t818 (and @t817 @t816))))) % 1.62/1.85 (assume @p704 (forall @t6 (=> @t222 (=> (tptp.finite @t218) (tptp.finite @t376))))) % 1.62/1.85 (assume @p705 (forall @t6 (=> @t563 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (=> (and @t352 (tptp.below @t1 @t69 @t11)) @t286)))))))) % 1.62/1.85 (assume @p706 (forall @t6 (=> @t154 @t341))) % 1.62/1.85 (assume @p707 (forall @t6 (exists @t27 (and @t185 @t818)))) % 1.62/1.85 (assume @p708 (forall @t75 (=> @t187 (tptp.subset (tptp.set_intersection2 @t1 @t69) @t635)))) % 1.62/1.85 (assume @p709 (forall @t19 (=> @t593 (forall @t140 (=> @t392 (= (tptp.latt_set_smaller @t11 @t69 @t1) (tptp.relstr_element_smaller @t820 @t1 @t819))))))) % 1.62/1.85 (assume @p710 (forall @t6 (=> @t148 (not (and (forall @t27 (not (and @t20 @t278))) (forall @t27 (=> @t584 (not (and @t764 (forall @t140 (=> @t179 (tptp.in @t763 @t69)))))))))))) % 1.62/1.85 (assume @p711 (forall @t19 (=> @t187 (= @t167 @t1)))) % 1.62/1.85 (assume @p712 (forall @t6 (=> @t215 (forall @t27 (=> @t243 (forall @t140 (=> @t211 @t227))))))) % 1.62/1.85 (assume @p713 (forall @t19 (=> @t593 (forall @t140 (=> @t822 (= (tptp.relstr_element_smaller @t820 @t1 @t69) (tptp.latt_set_smaller @t11 @t821 @t1))))))) % 1.62/1.85 (assume @p714 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t98 @t577)))))) % 1.62/1.85 (assume @p715 (forall @t6 (=> @t264 (forall @t27 (=> @t243 (forall @t140 (=> @t157 (=> (tptp.in @t69 @t263) @t416)))))))) % 1.62/1.85 (assume @p716 (forall @t6 (=> @t323 (forall @t27 (and (= @t322 (tptp.join_on_relstr @t328 @t11)) (= @t324 (tptp.meet_on_relstr @t328 @t11))))))) % 1.62/1.85 (assume @p717 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.62/1.85 (assume @p718 (forall @t19 (=> @t804 (forall @t140 (=> @t803 (= (tptp.below @t282 @t11 @t69) @t696)))))) % 1.62/1.85 (assume @p719 (forall @t19 (=> @t805 (or @t100 @t22)))) % 1.62/1.85 (assume @p720 (forall @t19 (=> (forall @t140 (= @t179 @t296)) @t188))) % 1.62/1.85 (assume @p721 (forall @t6 (tptp.reflexive @t312))) % 1.62/1.85 (assume @p722 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 1.62/1.85 (assume @p723 (forall @t6 (=> @t148 (forall @t27 (=> (and @t141 (tptp.filtered_subset @t11 @t342) @t775 (tptp.proper_element @t11 @t777) @t778) (forall @t140 (not (and @t296 @t147)))))))) % 1.62/1.85 (assume @p724 (forall @t19 (=> (tptp.element @t11 @t776) (forall @t140 (=> (tptp.element @t69 @t776) (= (tptp.related_reflexive @t342 @t11 @t69) @t696)))))) % 1.62/1.85 (assume @p725 (forall @t19 (=> @t593 (forall @t140 (=> @t392 (= (tptp.latt_element_smaller @t11 @t69 @t1) (tptp.relstr_set_smaller @t820 @t1 @t819))))))) % 1.62/1.85 (assume @p726 (forall @t75 (=> @t95 (=> @t808 (and @t800 (tptp.in @t11 @t799)))))) % 1.62/1.85 (assume @p727 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t99 @t582)))))) % 1.62/1.85 (assume @p728 (forall @t6 (=> @t793 (forall @t27 (=> @t158 (forall @t140 (and (=> @t823 @t824) (=> @t824 @t823)))))))) % 1.62/1.85 (assume @p729 (forall @t6 (=> @t215 (forall @t27 (=> @t243 (forall @t140 (=> @t227 (and (not (tptp.empty_carrier @t256)) (tptp.directed_relstr @t256))))))))) % 1.62/1.85 (assume @p730 (forall @t19 (=> @t593 (forall @t140 (=> @t822 (= (tptp.relstr_set_smaller @t820 @t1 @t69) (tptp.latt_element_smaller @t11 @t821 @t1))))))) % 1.62/1.85 (assume @p731 (forall @t6 (=> (forall @t27 (=> @t20 (and @t61 @t186))) @t64))) % 1.62/1.85 (assume @p732 (forall @t19 (=> @t185 (=> @t825 (tptp.well_founded_relation @t797))))) % 1.62/1.85 (assume @p733 (forall @t6 (=> @t215 (forall @t27 (=> @t243 (forall @t140 (=> @t227 (tptp.subnet @t256 @t1 @t11)))))))) % 1.62/1.85 (assume @p734 (forall @t6 (=> @t329 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t69) @t403) @t638)))))))) % 1.62/1.85 (assume @p735 (forall @t19 (=> @t61 (not (and @t187 @t301 (forall @t140 (=> @t673 (not (and @t179 (forall @t192 (=> @t680 (=> @t300 (tptp.ordinal_subset @t69 @t177))))))))))))) % 1.62/1.85 (assume @p736 (forall @t19 (=> @t185 (=> @t616 @t816)))) % 1.62/1.85 (assume @p737 (forall @t6 (=> @t215 (forall @t27 (=> @t243 (forall @t182 (=> (tptp.subnet @t177 @t1 @t11) (=> @t257 (tptp.is_eventually_in @t1 @t177 @t69))))))))) % 1.62/1.85 (assume @p738 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (= @t22 (tptp.ordinal_subset @t290 @t11))))))) % 1.62/1.85 (assume @p739 (forall @t75 (=> @t187 (tptp.subset (tptp.set_difference @t1 @t69) @t636)))) % 1.62/1.85 (assume @p740 (forall @t270 (=> (= @t380 @t180) @t608))) % 1.62/1.85 (assume @p741 (forall @t19 (=> @t584 (= @t184 (and @t764 (forall @t140 (=> @t179 (= @t763 @t69)))))))) % 1.62/1.85 (assume @p742 (forall @t6 (=> @t323 (forall @t27 (=> @t158 (forall @t140 (= (= @t11 (tptp.meet_of_latt_set @t1 @t69)) (and @t260 (forall @t192 (=> @t191 (=> (tptp.latt_set_smaller @t1 @t177 @t69) (tptp.below_refl @t1 @t177 @t11)))))))))))) % 1.62/1.85 (assume @p743 (forall @t19 (=> @t20 (= (tptp.apply @t183 @t11) @t11)))) % 1.62/1.85 (assume @p744 (forall @t19 (tptp.subset @t374 @t1))) % 1.62/1.85 (assume @p745 (forall @t6 (=> @t93 (and (= @t376 (tptp.relation_dom @t388)) (= @t218 (tptp.relation_rng @t388)))))) % 1.62/1.85 (assume @p746 (forall @t75 (= (tptp.subset @t160 @t69) (and @t622 @t355)))) % 1.62/1.85 (assume @p747 (forall @t19 (=> @t185 (=> (and @t616 (tptp.subset @t1 @t311)) @t817)))) % 1.62/1.85 (assume @p748 (forall @t19 (= @t826 @t162))) % 1.62/1.85 (assume @p749 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.62/1.85 (assume @p750 (forall @t6 (and @t520 (= (tptp.bottom_of_semilattstr @t282) tptp.empty_set)))) % 1.62/1.85 (assume @p751 (forall @t75 (not (and @t22 @t355 @t179)))) % 1.62/1.85 (assume @p752 (forall @t19 (= @t623 @t187))) % 1.62/1.85 (assume @p753 (forall @t6 (tptp.transitive @t312))) % 1.62/1.85 (assume @p754 (forall @t19 (and (not (and @t828 (forall @t140 (not @t827)))) (not (and (exists @t140 @t827) @t397))))) % 1.62/1.85 (assume @p755 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t277))) % 1.62/1.85 (assume @p756 @t835) % 1.62/1.85 (assume @p757 (forall @t19 (= (tptp.set_difference @t162 @t11) @t374))) % 1.62/1.85 (assume @p758 (forall @t6 (=> @t64 (= @t378 (forall @t27 (=> @t61 (=> @t20 (tptp.in @t754 @t1)))))))) % 1.62/1.85 (assume @p759 (forall @t6 (=> @t264 (forall @t27 (=> @t243 (forall @t140 (=> @t238 (tptp.subset @t263 (tptp.lim_points_of_net @t1 @t69))))))))) % 1.62/1.85 (assume @p760 (forall @t6 (=> @t64 (and (not (and (not @t378) (forall @t27 (=> @t61 (not @t836))))) (not (and (exists @t27 (and @t61 @t836)) @t378)))))) % 1.62/1.85 (assume @p761 (forall @t6 (=> @t837 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 1.62/1.85 (assume @p762 (forall @t19 (=> @t57 (forall @t140 (=> @t172 (= @t839 (tptp.subset @t11 @t838))))))) % 1.62/1.85 (assume @p763 (forall @t6 (=> @t105 (forall @t27 (=> @t295 (=> @t336 (tptp.closed_subset @t783 @t1))))))) % 1.62/1.85 (assume @p764 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (tptp.subset @t840 @t218)))))) % 1.62/1.85 (assume @p765 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (tptp.subset @t304 @t11)))))) % 1.62/1.85 (assume @p766 (forall @t6 (=> @t837 (forall @t27 (=> @t158 (tptp.related @t1 @t216 @t11)))))) % 1.62/1.85 (assume @p767 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (forall @t140 (=> (tptp.in @t69 @t3) (= @t842 (forall @t192 (=> @t769 (=> @t841 @t299))))))))))) % 1.62/1.85 (assume @p768 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (tptp.subset @t794 @t272)))))) % 1.62/1.85 (assume @p769 (forall @t19 (=> @t187 (= @t11 @t826)))) % 1.62/1.85 (assume @p770 (forall @t270 (=> @t814 (=> @t326 (forall @t209 (= (tptp.in @t199 (tptp.relation_inverse_image @t177 @t69)) (and @t223 (tptp.in (tptp.apply @t177 @t199) @t69)))))))) % 1.62/1.85 (assume @p771 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (exists @t140 (and @t348 (forall @t192 (=> @t769 (= @t219 @t841))) (= @t251 (tptp.meet_of_subsets @t3 @t69))))))))) % 1.62/1.85 (assume @p772 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (=> (tptp.subset @t376 @t271) (= @t840 @t218))))))) % 1.62/1.85 (assume @p773 (forall @t19 (=> @t408 @t771))) % 1.62/1.85 (assume @p774 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (=> (tptp.subset @t218 @t272) (= (tptp.relation_rng @t504) @t376))))))) % 1.62/1.85 (assume @p775 (forall @t19 (=> @t408 (=> @t326 (= (tptp.subset_difference @t1 @t368 @t476) @t774))))) % 1.62/1.85 (assume @p776 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (tptp.subset @t11 @t251)))))) % 1.62/1.85 (assume @p777 (forall @t19 (=> @t408 (=> @t326 (= @t779 (tptp.subset_difference @t1 @t368 @t480)))))) % 1.62/1.85 (assume @p778 (forall @t19 (= (tptp.set_difference @t1 @t374) @t167))) % 1.62/1.85 (assume @p779 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t396 (=> @t395 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t69)))))))))) % 1.62/1.85 (assume @p780 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.62/1.85 (assume @p781 (forall @t75 (=> (and @t22 @t843) (tptp.element @t1 @t69)))) % 1.62/1.85 (assume @p782 (forall @t6 (= @t776 @t56))) % 1.62/1.85 (assume @p783 (forall @t6 (=> @t64 (tptp.connected @t312)))) % 1.62/1.85 (assume @p784 (forall @t19 (and (not (and @t828 (forall @t140 (not @t844)))) (not (and (exists @t140 @t844) @t397))))) % 1.62/1.85 (assume @p785 (forall @t6 (= @t342 (tptp.incl_POSet @t56)))) % 1.62/1.85 (assume @p786 (forall @t6 (=> @t323 (and @t33 @t79 @t78 @t10 (= @t262 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 1.62/1.85 (assume @p787 (forall @t6 (=> @t301 (forall @t27 (=> @t57 (forall @t140 (=> @t440 (=> @t353 (tptp.in @t69 @t379))))))))) % 1.62/1.85 (assume @p788 (forall @t6 (=> @t105 (forall @t27 (=> @t102 @t592))))) % 1.62/1.85 (assume @p789 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (and (=> @t98 @t845) (=> (and @t104 @t845) @t98))))))) % 1.62/1.85 (assume @p790 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t396 (=> @t395 (and (=> @t92 @t135) (=> @t94 @t575) (=> @t259 @t815) (=> @t226 @t576) (=> @t338 @t825)))))))))) % 1.62/1.85 (assume @p791 (forall @t6 (=> @t222 (=> @t115 (forall @t27 (=> @t584 (= (= @t11 @t413) (and (= @t271 @t376) (forall @t182 (and (=> @t846 @t375) (=> @t375 @t846))))))))))) % 1.62/1.85 (assume @p792 (forall @t75 (=> @t172 (not (and (tptp.in @t11 @t838) @t355))))) % 1.62/1.85 (assume @p793 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t396 (=> (and @t369 @t395) @t616)))))))) % 1.62/1.85 (assume @p794 (forall @t6 (=> @t222 (=> @t115 (and (= @t376 (tptp.relation_dom @t413)) (= @t218 (tptp.relation_rng @t413))))))) % 1.62/1.85 (assume @p795 (forall @t6 (=> @t105 (forall @t27 (=> @t600 (forall @t140 (=> @t252 (forall @t192 (=> (tptp.element @t177 (tptp.powerset @t14)) (and (=> (tptp.open_subset @t177 @t11) (= (tptp.interior @t11 @t177) @t177)) (=> (= @t266 @t69) @t305))))))))))) % 1.62/1.85 (assume @p796 (forall @t6 (=> @t93 (=> (forall @t197 @t619) @t277)))) % 1.62/1.85 (assume @p797 (forall @t19 (=> @t584 (=> (and @t133 (tptp.in @t1 @t272)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t847 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t847 @t11) @t1))))))) % 1.62/1.85 (assume @p798 (forall @t6 (=> @t264 (forall @t27 (=> @t102 (forall @t140 (=> @t157 (=> (and @t99 @t296) (tptp.point_neighbourhood @t11 @t1 @t69))))))))) % 1.62/1.85 (assume @p799 (forall @t75 (not (and @t22 @t843 @t147)))) % 1.62/1.85 (assume @p800 (forall @t19 (=> @t57 (= @t629 (not (= @t11 @t1)))))) % 1.62/1.85 (assume @p801 (forall @t6 (=> @t215 (forall @t27 (=> @t295 (not (and @t349 @t278))))))) % 1.62/1.85 (assume @p802 (forall @t6 (=> @t93 (= @t338 (tptp.is_well_founded_in @t1 @t225))))) % 1.62/1.85 (assume @p803 (forall @t6 (tptp.antisymmetric @t312))) % 1.62/1.85 (assume @p804 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.62/1.85 (assume @p805 (forall @t19 (not (and @t187 @t23)))) % 1.62/1.85 (assume @p806 (forall @t6 (=> @t5 (forall @t27 (=> @t153 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (forall @t209 (=> @t208 (forall @t235 (=> @t390 (=> (and @t268 @t732 @t848) @t320)))))))))))))) % 1.62/1.85 (assume @p807 (forall @t6 (=> @t5 (forall @t27 (=> (and @t151 @t153) (forall @t140 (=> @t157 (forall @t192 (=> @t191 (forall @t209 (=> @t208 (forall @t235 (=> @t390 (=> (and @t268 @t732 @t320 (tptp.in @t199 @t14) (tptp.in @t230 @t14)) @t848)))))))))))))) % 1.62/1.85 (assume @p808 (forall @t6 (=> @t222 (=> @t115 (tptp.one_to_one @t413))))) % 1.62/1.85 (assume @p809 (forall @t75 (=> (and @t187 @t839) (tptp.disjoint @t1 @t69)))) % 1.62/1.85 (assume @p810 (forall @t6 (=> @t93 (=> (or @t850 @t849) @t277)))) % 1.62/1.85 (assume @p811 (forall @t6 (=> @t93 (= @t850 @t849)))) % 1.62/1.85 (assume @p812 (forall @t19 (= (= (tptp.set_difference @t1 @t620) @t1) @t21))) % 1.62/1.85 (assume @p813 (forall @t19 (=> @t584 (forall @t140 (=> @t396 (= (= @t11 @t624) (and (= @t271 (tptp.set_intersection2 @t371 @t1)) (forall @t192 (=> (tptp.in @t177 @t271) (= (tptp.apply @t11 @t177) @t394)))))))))) % 1.62/1.85 (assume @p814 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t289))) % 1.62/1.85 (assume @p815 (forall @t6 (=> @t54 @t277))) % 1.62/1.85 (assume @p816 (forall @t270 (=> @t814 (=> @t179 (or @t278 (tptp.in @t813 @t791)))))) % 1.62/1.85 (assume @p817 (forall @t6 (=> @t64 (tptp.well_founded_relation @t312)))) % 1.62/1.85 (assume @p818 (forall @t6 (=> @t5 (forall @t27 (=> @t158 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 1.62/1.85 (assume @p819 (forall @t6 (=> @t264 (forall @t27 (=> @t102 (forall @t140 (=> @t157 (= @t842 (forall @t192 (=> @t415 (not (tptp.disjoint @t177 @t11)))))))))))) % 1.62/1.85 (assume @p820 (forall @t19 (=> (tptp.subset @t289 @t620) @t188))) % 1.62/1.85 (assume @p821 (forall @t75 (=> @t396 (=> @t625 @t851)))) % 1.62/1.85 (assume @p822 (forall @t6 (and (= (tptp.relation_dom @t183) @t1) (= (tptp.relation_rng @t183) @t1)))) % 1.62/1.85 (assume @p823 (forall @t75 (=> @t396 (=> @t20 @t851)))) % 1.62/1.85 (assume @p824 (forall @t270 (=> @t700 (= (tptp.in @t380 (tptp.relation_composition (tptp.identity_relation @t69) @t177)) (and @t622 (tptp.in @t380 @t177)))))) % 1.62/1.85 (assume @p825 (forall @t19 (not (and @t22 @t100)))) % 1.62/1.85 (assume @p826 (forall @t6 (=> @t329 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t638 (tptp.related_reflexive @t328 @t351 (tptp.cast_to_el_of_LattPOSet @t1 @t69)))))))))) % 1.62/1.85 (assume @p827 (forall @t19 (and (= (tptp.pair_first @t380) @t1) (= (tptp.pair_second @t380) @t11)))) % 1.62/1.85 (assume @p828 (forall @t19 (not (and @t22 (forall @t140 (not (and @t296 (forall @t192 (not (and @t202 @t219)))))))))) % 1.62/1.85 (assume @p829 (forall @t6 (=> @t64 (tptp.well_ordering @t312)))) % 1.62/1.85 (assume @p830 (forall @t19 (tptp.subset @t1 @t162))) % 1.62/1.85 (assume @p831 (forall @t19 (= @t397 (= @t374 @t1)))) % 1.62/1.85 (assume @p832 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_dom @t784)) (and @t22 @t807))))) % 1.62/1.85 (assume @p833 (forall @t19 (=> @t185 (tptp.subset @t798 @t11)))) % 1.62/1.85 (assume @p834 (forall @t19 (not (and @t54 @t410 @t100)))) % 1.62/1.85 (assume @p835 (forall @t75 (=> @t396 (= @t808 (and @t807 (= @t11 @t810)))))) % 1.62/1.85 (assume @p836 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t182 (=> @t310 (and (=> @t211 (tptp.is_eventually_in @t1 @t11 @t177)) (=> @t227 @t414))))))))) % 1.62/1.85 (assume @p837 (forall @t6 (=> (and @t33 @t31 @t41 @t40 @t46 @t5) (forall @t27 (=> (and @t141 @t106 @t321 @t102) (= @t630 (not (tptp.in @t216 @t11)))))))) % 1.62/1.85 (assume @p838 (forall @t6 (=> @t93 (= (tptp.well_orders @t1 @t225) @t369)))) % 1.62/1.85 (assume @p839 (forall @t75 (=> (and @t187 @t347) (tptp.subset (tptp.set_union2 @t1 @t69) @t11)))) % 1.62/1.85 (assume @p840 (forall @t75 (=> @t852 @t188))) % 1.62/1.85 (assume @p841 (forall @t19 (=> @t185 (= (tptp.relation_dom @t798) @t788)))) % 1.62/1.85 (assume @p842 (forall @t6 (=> @t215 (forall @t27 (=> @t158 (= (tptp.apply_as_element @t3 @t3 @t198 @t11) @t11)))))) % 1.62/1.85 (assume @p843 (forall @t19 (=> @t185 (= @t798 (tptp.relation_composition @t183 @t11))))) % 1.62/1.85 (assume @p844 (forall @t19 (=> @t185 (tptp.subset (tptp.relation_rng @t798) @t272)))) % 1.62/1.85 (assume @p845 (forall @t6 (= (tptp.union @t56) @t1))) % 1.62/1.85 (assume @p846 (forall @t270 (=> @t814 (=> @t696 (or (and @t278 @t301) (and @t237 (tptp.quasi_total @t177 @t1 @t69) (tptp.relation_of2_as_subset @t177 @t1 @t69))))))) % 1.62/1.85 (assume @p847 (forall @t6 (exists @t27 (and @t22 @t782 (forall @t140 (not (and @t296 (forall @t192 (not (and @t202 (forall @t209 (=> (tptp.subset @t199 @t69) @t269)))))))) @t781)))) % 1.62/1.85 (assume @p848 (forall @t75 (=> @t852 @t286))) % 1.62/1.85 (step @p849 :rule aci_norm :args ((= @t859 (or @t32 @t857 @t856 @t855 @t854)))) % 1.62/1.85 (step @p850 :rule cong :premises (@p849) :args (@t860)) % 1.62/1.85 (step @p851 :rule quant-merge-prenex :args ((= (forall @t6 @t862) @t860))) % 1.62/1.85 (step @p852 :rule alpha_equiv :args (@t863 (@list @t853) (@list @t11))) % 1.62/1.85 (step @p853 :rule refl :args (@t856)) % 1.62/1.85 (step @p854 :rule refl :args (@t857)) % 1.62/1.85 (step @p855 :rule refl :args (@t32)) % 1.62/1.85 (step @p856 :rule nary_cong :premises (@p855 @p854 @p853 @p852) :args (@t864)) % 1.62/1.85 (step @p857 :rule quant-miniscope-or :args ((= @t862 @t864))) % 1.62/1.85 (step @p858 :rule trans :premises (@p857 @p856)) % 1.62/1.85 (step @p859 :rule symm :premises (@p858)) % 1.62/1.85 (step @p860 :rule cong :premises (@p859) :args ((forall @t6 @t867))) % 1.62/1.85 (step @p861 :rule trans :premises (@p860 @p851)) % 1.62/1.85 (step @p862 :rule trans :premises (@p861 @p850)) % 1.62/1.85 (step @p863 :rule aci_norm :args ((= (or @t868 @t866) @t867))) % 1.62/1.85 (step @p864 :rule refl :args (@t866)) % 1.62/1.85 (step @p865 :rule bool-double-not-elim :args (@t32)) % 1.62/1.85 (step @p866 :rule nary_cong :premises (@p865 @p854 @p853) :args (@t870)) % 1.62/1.85 (step @p867 :rule aci_norm :args ((= (or @t869 (or @t857 @t856)) @t870))) % 1.62/1.85 (step @p868 :rule trans :premises (@p867 @p866)) % 1.62/1.85 (step @p869 :rule bool-and-de-morgan :args (@t104 @t103 true)) % 1.62/1.85 (step @p870 :rule refl :args (@t869)) % 1.62/1.85 (step @p871 :rule nary_cong :premises (@p870 @p869) :args ((or @t869 (not @t105)))) % 1.62/1.85 (step @p872 :rule bool-and-de-morgan :args (@t33 @t104 (and @t103))) % 1.62/1.85 (step @p873 :rule trans :premises (@p872 @p871)) % 1.62/1.85 (step @p874 :rule trans :premises (@p873 @p868)) % 1.62/1.85 (step @p875 :rule nary_cong :premises (@p874 @p864) :args ((or @t871 @t866))) % 1.62/1.85 (step @p876 :rule trans :premises (@p875 @p863)) % 1.62/1.85 (step @p877 :rule bool-impl-elim :args (@t264 @t866)) % 1.62/1.85 (step @p878 :rule trans :premises (@p877 @p876)) % 1.62/1.85 (step @p879 :rule cong :premises (@p878) :args ((forall @t6 (=> @t264 @t866)))) % 1.62/1.85 (step @p880 :rule trans :premises (@p879 @p862)) % 1.62/1.85 (step @p881 :rule bool-impl-elim :args (@t158 @t314)) % 1.62/1.85 (step @p882 :rule cong :premises (@p881) :args (@t315)) % 1.62/1.85 (step @p883 :rule refl :args (@t264)) % 1.62/1.85 (step @p884 :rule cong :premises (@p883 @p882) :args (@t316)) % 1.62/1.85 (step @p885 :rule cong :premises (@p884) :args (@t317)) % 1.62/1.85 (step @p886 :rule trans :premises (@p885 @p880)) % 1.62/1.85 (step @p887 :rule eq_resolve :premises (@p146 @p886)) % 1.62/1.85 (step @p888 :rule instantiate :premises (@p887) :args ((@list @t880 @t879))) % 1.62/1.85 (step @p889 :rule aci_norm :args ((= @t882 @t876))) % 1.62/1.85 (step @p890 :rule cong :premises (@p889) :args (@t883)) % 1.62/1.85 (step @p891 :rule quant-merge-prenex :args ((= (forall @t6 @t885) @t883))) % 1.62/1.85 (step @p892 :rule alpha_equiv :args (@t886 (@list @t872 @t873) (@list @t11 @t887))) % 1.62/1.85 (step @p893 :rule nary_cong :premises (@p855 @p854 @p853 @p892) :args (@t888)) % 1.62/1.85 (step @p894 :rule quant-miniscope-or :args ((= @t885 @t888))) % 1.62/1.85 (step @p895 :rule trans :premises (@p894 @p893)) % 1.62/1.85 (step @p896 :rule symm :premises (@p895)) % 1.62/1.85 (step @p897 :rule cong :premises (@p896) :args ((forall @t6 @t892))) % 1.62/1.85 (step @p898 :rule trans :premises (@p897 @p891)) % 1.62/1.85 (step @p899 :rule trans :premises (@p898 @p890)) % 1.62/1.85 (step @p900 :rule aci_norm :args ((= (or @t868 @t891) @t892))) % 1.62/1.85 (step @p901 :rule refl :args (@t891)) % 1.62/1.85 (step @p902 :rule nary_cong :premises (@p874 @p901) :args ((or @t871 @t891))) % 1.62/1.85 (step @p903 :rule trans :premises (@p902 @p900)) % 1.62/1.85 (step @p904 :rule bool-impl-elim :args (@t264 @t891)) % 1.62/1.85 (step @p905 :rule trans :premises (@p904 @p903)) % 1.62/1.85 (step @p906 :rule cong :premises (@p905) :args ((forall @t6 (=> @t264 @t891)))) % 1.62/1.85 (step @p907 :rule trans :premises (@p906 @p899)) % 1.62/1.85 (step @p908 :rule quant-merge-prenex :args ((= (forall @t27 @t894) @t891))) % 1.62/1.85 (step @p909 :rule alpha_equiv :args (@t895 (@list @t887) (@list @t69))) % 1.62/1.85 (step @p910 :rule refl :args (@t865)) % 1.62/1.85 (step @p911 :rule nary_cong :premises (@p910 @p909) :args (@t896)) % 1.62/1.85 (step @p912 :rule quant-miniscope-or :args ((= @t894 @t896))) % 1.62/1.85 (step @p913 :rule trans :premises (@p912 @p911)) % 1.62/1.85 (step @p914 :rule symm :premises (@p913)) % 1.62/1.85 (step @p915 :rule cong :premises (@p914) :args ((forall @t27 (or @t865 @t897)))) % 1.62/1.85 (step @p916 :rule trans :premises (@p915 @p908)) % 1.62/1.85 (step @p917 :rule bool-impl-elim :args (@t158 @t897)) % 1.62/1.85 (step @p918 :rule cong :premises (@p917) :args ((forall @t27 (=> @t158 @t897)))) % 1.62/1.85 (step @p919 :rule trans :premises (@p918 @p916)) % 1.62/1.85 (step @p920 :rule eq-symm :args (@t829 @t267)) % 1.62/1.85 (step @p921 :rule cong :premises (@p920) :args (@t830)) % 1.62/1.85 (step @p922 :rule refl :args (@t158)) % 1.62/1.85 (step @p923 :rule cong :premises (@p922 @p921) :args (@t831)) % 1.62/1.85 (step @p924 :rule cong :premises (@p923) :args (@t832)) % 1.62/1.85 (step @p925 :rule trans :premises (@p924 @p919)) % 1.62/1.85 (step @p926 :rule cong :premises (@p883 @p925) :args (@t833)) % 1.62/1.85 (step @p927 :rule cong :premises (@p926) :args (@t834)) % 1.62/1.85 (step @p928 :rule trans :premises (@p927 @p907)) % 1.62/1.85 (step @p929 :rule cong :premises (@p928) :args (@t835)) % 1.62/1.85 (step @p930 :rule eq_resolve :premises (@p756 @p929)) % 1.62/1.85 (step @p931 :rule skolemize :premises (@p930)) % 1.62/1.85 (step @p932 :rule bool-double-not-elim :args (@t898)) % 1.62/1.85 (step @p933 :rule refl :args (@t910)) % 1.62/1.85 (step @p934 :rule nary_cong :premises (@p933 @p932) :args ((or @t910 (not @t904)))) % 1.62/1.85 (step @p935 :rule cnf_or_neg :args (@t910 3)) % 1.62/1.85 (step @p936 :rule eq_resolve :premises (@p935 @p934)) % 1.62/1.85 (step @p937 :rule reordering :premises (@p936) :args ((or @t898 @t910))) % 1.62/1.85 (step @p938 :rule chain_m_resolution :premises (@p937 @p931) :args (@t898 @t911 @t912)) % 1.62/1.85 (step @p939 :rule bool-double-not-elim :args (@t905)) % 1.62/1.85 (step @p940 :rule nary_cong :premises (@p933 @p939) :args ((or @t910 (not @t906)))) % 1.62/1.85 (step @p941 :rule cnf_or_neg :args (@t910 2)) % 1.62/1.85 (step @p942 :rule eq_resolve :premises (@p941 @p940)) % 1.62/1.85 (step @p943 :rule reordering :premises (@p942) :args ((or @t905 @t910))) % 1.62/1.85 (step @p944 :rule chain_m_resolution :premises (@p943 @p931) :args (@t905 @t911 @t912)) % 1.62/1.85 (step @p945 :rule bool-double-not-elim :args (@t907)) % 1.62/1.85 (step @p946 :rule nary_cong :premises (@p933 @p945) :args ((or @t910 (not @t908)))) % 1.62/1.85 (step @p947 :rule cnf_or_neg :args (@t910 1)) % 1.62/1.85 (step @p948 :rule eq_resolve :premises (@p947 @p946)) % 1.62/1.85 (step @p949 :rule reordering :premises (@p948) :args ((or @t907 @t910))) % 1.62/1.85 (step @p950 :rule chain_m_resolution :premises (@p949 @p931) :args (@t907 @t911 @t912)) % 1.62/1.85 (step @p951 :rule cnf_or_neg :args (@t910 0)) % 1.62/1.85 (step @p952 :rule chain_m_resolution :premises (@p951 @p931) :args ((not @t909) @t911 @t912)) % 1.62/1.85 (step @p953 :rule cnf_or_pos :args (@t915)) % 1.62/1.85 (step @p954 :rule reordering :premises (@p953) :args ((or @t909 @t908 @t906 @t904 @t914 (not @t915)))) % 1.62/1.85 (step @p955 :rule chain_m_resolution :premises (@p954 @p952 @p950 @p944 @p938 @p888) :args (@t914 @t916 (@list @t909 @t907 @t905 @t898 @t915))) % 1.62/1.85 (step @p956 :rule cnf_or_neg :args (@t910 4)) % 1.62/1.85 (step @p957 :rule chain_m_resolution :premises (@p956 @p931) :args ((not @t903) @t911 @t912)) % 1.62/1.85 (step @p958 :rule cnf_equiv_neg2 :args (@t903)) % 1.62/1.85 (step @p959 :rule aci_norm :args ((= (or (or @t212 @t921 @t920 @t919) @t918) @t922))) % 1.62/1.85 (step @p960 :rule refl :args (@t918)) % 1.62/1.85 (step @p961 :rule refl :args (@t919)) % 1.62/1.85 (step @p962 :rule refl :args (@t920)) % 1.62/1.85 (step @p963 :rule refl :args (@t921)) % 1.62/1.85 (step @p964 :rule bool-double-not-elim :args (@t212)) % 1.62/1.85 (step @p965 :rule nary_cong :premises (@p964 @p963 @p962 @p961) :args (@t924)) % 1.62/1.85 (step @p966 :rule aci_norm :args ((= (or @t923 (or @t921 (or @t920 @t919))) @t924))) % 1.62/1.85 (step @p967 :rule trans :premises (@p966 @p965)) % 1.62/1.85 (step @p968 :rule bool-and-de-morgan :args (@t600 @t392 true)) % 1.62/1.85 (step @p969 :rule nary_cong :premises (@p963 @p968) :args ((or @t921 (not (and @t600 @t392))))) % 1.62/1.85 (step @p970 :rule bool-and-de-morgan :args (@t601 @t600 (and @t392))) % 1.62/1.85 (step @p971 :rule trans :premises (@p970 @p969)) % 1.62/1.85 (step @p972 :rule refl :args (@t923)) % 1.62/1.85 (step @p973 :rule nary_cong :premises (@p972 @p971) :args ((or @t923 (not (and @t601 @t600 @t392))))) % 1.62/1.85 (step @p974 :rule bool-and-de-morgan :args (@t213 @t601 (and @t600 @t392))) % 1.62/1.85 (step @p975 :rule trans :premises (@p974 @p973)) % 1.62/1.85 (step @p976 :rule trans :premises (@p975 @p967)) % 1.62/1.85 (step @p977 :rule nary_cong :premises (@p976 @p960) :args ((or (not @t602) @t918))) % 1.62/1.85 (step @p978 :rule trans :premises (@p977 @p959)) % 1.62/1.85 (step @p979 :rule bool-impl-elim :args (@t602 @t918)) % 1.62/1.85 (step @p980 :rule trans :premises (@p979 @p978)) % 1.62/1.85 (step @p981 :rule cong :premises (@p980) :args ((forall @t75 (=> @t602 @t918)))) % 1.62/1.85 (step @p982 :rule bool-double-not-elim :args (@t917)) % 1.62/1.85 (step @p983 :rule aci_norm :args ((= (or @t925 false) @t925))) % 1.62/1.85 (step @p984 :rule evaluate :args ((not true))) % 1.62/1.85 (step @p985 :rule eq-refl :args (@t1)) % 1.62/1.85 (step @p986 :rule cong :premises (@p985) :args (@t926)) % 1.62/1.85 (step @p987 :rule trans :premises (@p986 @p984)) % 1.62/1.85 (step @p988 :rule refl :args (@t925)) % 1.62/1.85 (step @p989 :rule nary_cong :premises (@p988 @p987) :args (@t927)) % 1.62/1.85 (step @p990 :rule trans :premises (@p989 @p983)) % 1.62/1.85 (step @p991 :rule quant-var-elim-eq :args ((= (forall @t192 (or (not @t333) @t928 @t772)) @t927))) % 1.62/1.85 (step @p992 :rule refl :args (@t772)) % 1.62/1.85 (step @p993 :rule refl :args (@t928)) % 1.62/1.85 (step @p994 :rule eq-symm :args (@t1 @t177)) % 1.62/1.85 (step @p995 :rule cong :premises (@p994) :args (@t772)) % 1.62/1.85 (step @p996 :rule nary_cong :premises (@p995 @p993 @p992) :args (@t929)) % 1.62/1.85 (step @p997 :rule aci_norm :args ((= @t930 @t929))) % 1.62/1.85 (step @p998 :rule trans :premises (@p997 @p996)) % 1.62/1.85 (step @p999 :rule cong :premises (@p998) :args ((forall @t192 @t930))) % 1.62/1.85 (step @p1000 :rule trans :premises (@p999 @p991)) % 1.62/1.85 (step @p1001 :rule trans :premises (@p1000 @p990)) % 1.62/1.85 (step @p1002 :rule bool-and-de-morgan :args (@t595 @t594 true)) % 1.62/1.85 (step @p1003 :rule cong :premises (@p1002) :args (@t931)) % 1.62/1.85 (step @p1004 :rule trans :premises (@p1003 @p1001)) % 1.62/1.85 (step @p1005 :rule cong :premises (@p1004) :args (@t932)) % 1.62/1.85 (step @p1006 :rule trans :premises (@p1005 @p982)) % 1.62/1.85 (step @p1007 :rule exists-elim :args ((= @t597 @t932))) % 1.62/1.85 (step @p1008 :rule trans :premises (@p1007 @p1006)) % 1.62/1.85 (step @p1009 :rule refl :args (@t598)) % 1.62/1.85 (step @p1010 :rule cong :premises (@p1009 @p1008) :args (@t599)) % 1.62/1.85 (step @p1011 :rule refl :args (@t602)) % 1.62/1.85 (step @p1012 :rule cong :premises (@p1011 @p1010) :args (@t603)) % 1.62/1.85 (step @p1013 :rule cong :premises (@p1012) :args (@t604)) % 1.62/1.85 (step @p1014 :rule trans :premises (@p1013 @p981)) % 1.62/1.85 (step @p1015 :rule eq_resolve :premises (@p431 @p1014)) % 1.62/1.85 (step @p1016 :rule eq-symm :args (@t933 @t902)) % 1.62/1.85 (step @p1017 :rule refl :args (@t904)) % 1.62/1.85 (step @p1018 :rule refl :args (@t906)) % 1.62/1.85 (step @p1019 :rule refl :args (@t908)) % 1.62/1.85 (step @p1020 :rule refl :args (@t909)) % 1.62/1.85 (step @p1021 :rule nary_cong :premises (@p1020 @p1019 @p1018 @p1017 @p1016) :args (@t934)) % 1.62/1.85 (step @p1022 :rule refl :args (@t935)) % 1.62/1.85 (step @p1023 :rule cong :premises (@p1022 @p1021) :args ((=> @t935 @t934))) % 1.62/1.85 (assume-push @p1089 @t935) % 1.62/1.85 (step @p1025 :rule instantiate :premises (@p1015) :args ((@list @t900 @t880 @t879))) % 1.62/1.85 (step-pop @p1090 :rule scope :premises (@p1025)) % 1.62/1.85 (step @p1026 :rule process_scope :premises (@p1090) :args (@t934)) % 1.62/1.85 (step @p1028 :rule eq_resolve :premises (@p1026 @p1023)) % 1.62/1.85 (step @p1029 :rule implies_elim :premises (@p1028)) % 1.62/1.85 (step @p1030 :rule chain_m_resolution :premises (@p1029 @p1015) :args (@t937 (@list false) (@list @t935))) % 1.62/1.85 (step @p1031 :rule cnf_or_pos :args (@t937)) % 1.62/1.85 (step @p1032 :rule reordering :premises (@p1031) :args ((or @t909 @t908 @t906 @t904 @t936 (not @t937)))) % 1.62/1.85 (step @p1033 :rule chain_m_resolution :premises (@p1032 @p952 @p950 @p944 @p938 @p1030) :args (@t936 @t916 (@list @t909 @t907 @t905 @t898 @t937))) % 1.62/1.85 (step @p1034 :rule cnf_equiv_pos2 :args (@t936)) % 1.62/1.85 (step @p1035 :rule reordering :premises (@p1034) :args ((or @t902 @t939 @t938))) % 1.62/1.85 (assume-push @p1091 @t901) % 1.62/1.85 (assume-push @p1092 @t914) % 1.62/1.85 (assume-push @p1093 @t901) % 1.62/1.85 (assume-push @p1094 @t914) % 1.62/1.85 (step @p1040 :rule true_intro :premises (@p1091)) % 1.62/1.85 (step @p1041 :rule symm :premises (@p955)) % 1.62/1.85 (step @p1042 :rule refl :args (@t900)) % 1.62/1.85 (step @p1043 :rule cong :premises (@p1042 @p1041) :args (@t933)) % 1.62/1.85 (step @p1044 :rule trans :premises (@p1043 @p1040)) % 1.62/1.85 (step @p1045 :rule true_elim :premises (@p1044)) % 1.62/1.85 (step-pop @p1095 :rule scope :premises (@p1045)) % 1.62/1.85 (step-pop @p1096 :rule scope :premises (@p1095)) % 1.62/1.85 (step @p1046 :rule process_scope :premises (@p1096) :args (@t933)) % 1.62/1.85 (step @p1049 :rule and_intro :premises (@p1091 @p955)) % 1.62/1.85 (step @p1050 :rule modus_ponens :premises (@p1049 @p1046)) % 1.62/1.85 (step-pop @p1097 :rule scope :premises (@p1050)) % 1.62/1.85 (step-pop @p1098 :rule scope :premises (@p1097)) % 1.62/1.85 (step @p1051 :rule process_scope :premises (@p1098) :args (@t933)) % 1.62/1.85 (step @p1054 :rule implies_elim :premises (@p1051)) % 1.62/1.85 (step @p1055 :rule cnf_and_neg :args (@t940)) % 1.62/1.85 (step @p1056 :rule resolution :premises (@p1055 @p1054) :args (true @t940)) % 1.62/1.85 (step @p1057 :rule reordering :premises (@p1056) :args ((or @t942 @t933 @t941))) % 1.62/1.85 (step @p1058 :rule chain_m_resolution :premises (@p1057 @p955 @p1035 @p1033 @p958 @p957) :args (@t942 (@list false true false true true) (@list @t914 @t933 @t936 @t902 @t903))) % 1.62/1.85 (step @p1059 :rule cnf_equiv_neg1 :args (@t903)) % 1.62/1.85 (step @p1060 :rule reordering :premises (@p1059) :args ((or @t902 @t901 @t903))) % 1.62/1.85 (step @p1061 :rule chain_m_resolution :premises (@p1060 @p1058 @p957) :args (@t902 (@list true true) (@list @t901 @t903))) % 1.62/1.85 (step @p1062 :rule cnf_equiv_pos1 :args (@t936)) % 1.62/1.85 (step @p1063 :rule reordering :premises (@p1062) :args ((or (not @t902) @t933 @t938))) % 1.62/1.85 (step @p1064 :rule chain_m_resolution :premises (@p1063 @p1061 @p1033) :args (@t933 (@list false false) (@list @t902 @t936))) % 1.62/1.85 (step @p1065 :rule refl :args (@t939)) % 1.62/1.85 (step @p1066 :rule refl :args (@t941)) % 1.62/1.85 (step @p1067 :rule bool-double-not-elim :args (@t901)) % 1.62/1.85 (step @p1068 :rule nary_cong :premises (@p1067 @p1066 @p1065) :args ((or (not @t942) @t941 @t939))) % 1.62/1.85 (assume-push @p1099 @t942) % 1.62/1.85 (assume-push @p1100 @t914) % 1.62/1.85 (assume-push @p1101 @t942) % 1.62/1.85 (assume-push @p1102 @t914) % 1.62/1.85 (step @p1073 :rule false_intro :premises (@p1099)) % 1.62/1.85 (step @p1041 :rule symm :premises (@p955)) % 1.62/1.85 (step @p1042 :rule refl :args (@t900)) % 1.62/1.85 (step @p1043 :rule cong :premises (@p1042 @p1041) :args (@t933)) % 1.62/1.85 (step @p1074 :rule trans :premises (@p1043 @p1073)) % 1.62/1.85 (step @p1075 :rule false_elim :premises (@p1074)) % 1.62/1.85 (step-pop @p1103 :rule scope :premises (@p1075)) % 1.62/1.85 (step-pop @p1104 :rule scope :premises (@p1103)) % 1.62/1.85 (step @p1076 :rule process_scope :premises (@p1104) :args (@t939)) % 1.62/1.85 (step @p1079 :rule and_intro :premises (@p1099 @p955)) % 1.62/1.85 (step @p1080 :rule modus_ponens :premises (@p1079 @p1076)) % 1.62/1.85 (step-pop @p1105 :rule scope :premises (@p1080)) % 1.62/1.85 (step-pop @p1106 :rule scope :premises (@p1105)) % 1.62/1.85 (step @p1081 :rule process_scope :premises (@p1106) :args (@t939)) % 1.62/1.85 (step @p1084 :rule implies_elim :premises (@p1081)) % 1.62/1.85 (step @p1085 :rule cnf_and_neg :args (@t943)) % 1.62/1.85 (step @p1086 :rule resolution :premises (@p1085 @p1084) :args (true @t943)) % 1.62/1.85 (step @p1087 :rule eq_resolve :premises (@p1086 @p1068)) % 1.62/1.85 (step @p1088 false :rule chain_m_resolution :premises (@p1087 @p1064 @p1058 @p955) :args (false (@list false true false) (@list @t933 @t901 @t914))) % 1.62/1.85 ) % 1.62/1.85 % SZS output end Proof % 1.62/1.85 % cvc5 exiting %------------------------------------------------------------------------------