%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU391+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 1.74s 1.90s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU391+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:07:06 EDT 2026 % 0.18/0.35 % CPUTime : % 0.45/0.71 %----Proving TF0_NAR, FOF, or CNF % 1.74/1.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.74/1.90 % SZS status Theorem % 1.74/1.90 % SZS output start Proof % 1.74/1.90 ( % 1.74/1.90 (declare-sort $$unsorted 0) % 1.74/1.90 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.dense (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.is_a_convergence_point_of_set (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.filter_of_net_str (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.a_2_1_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.centered (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.a_2_0_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.a_3_0_waybel_9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.preimage_subnetstr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.function_invverse_img_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.function_of_composition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.neighborhood_system (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.lower_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.netstr_induced_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.apply_on_set_and_struct2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subnetstr_of_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.is_a_cluster_point_of_netstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.lattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.top_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.apply_on_set_and_struct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.omega $$unsorted) % 1.74/1.90 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.function (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.empty_set $$unsorted) % 1.74/1.90 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.74/1.90 (define @t1 () (@var "A" $$unsorted)) % 1.74/1.90 (define @t2 () (tptp.the_InternalRel @t1)) % 1.74/1.90 (define @t3 () (tptp.the_carrier @t1)) % 1.74/1.90 (define @t4 () (tptp.strict_rel_str @t1)) % 1.74/1.90 (define @t5 () (tptp.rel_str @t1)) % 1.74/1.90 (define @t6 () (@list @t1)) % 1.74/1.90 (define @t7 () (tptp.the_L_meet @t1)) % 1.74/1.90 (define @t8 () (tptp.the_L_join @t1)) % 1.74/1.90 (define @t9 () (tptp.strict_latt_str @t1)) % 1.74/1.90 (define @t10 () (tptp.latt_str @t1)) % 1.74/1.90 (define @t11 () (@var "B" $$unsorted)) % 1.74/1.90 (define @t12 () (tptp.the_mapping @t1 @t11)) % 1.74/1.90 (define @t13 () (tptp.the_InternalRel @t11)) % 1.74/1.90 (define @t14 () (tptp.the_carrier @t11)) % 1.74/1.90 (define @t15 () (tptp.strict_net_str @t11 @t1)) % 1.74/1.90 (define @t16 () (tptp.net_str @t11 @t1)) % 1.74/1.90 (define @t17 () (tptp.one_sorted_str @t1)) % 1.74/1.90 (define @t18 () (and @t17 @t16)) % 1.74/1.90 (define @t19 () (@list @t1 @t11)) % 1.74/1.90 (define @t20 () (tptp.in @t11 @t1)) % 1.74/1.90 (define @t21 () (not @t20)) % 1.74/1.90 (define @t22 () (tptp.in @t1 @t11)) % 1.74/1.90 (define @t23 () (tptp.proper_subset @t11 @t1)) % 1.74/1.90 (define @t24 () (tptp.proper_subset @t1 @t11)) % 1.74/1.90 (define @t25 () (tptp.v1_xcmplx_0 @t11)) % 1.74/1.90 (define @t26 () (tptp.element @t11 @t1)) % 1.74/1.90 (define @t27 () (@list @t11)) % 1.74/1.90 (define @t28 () (tptp.v1_membered @t1)) % 1.74/1.90 (define @t29 () (tptp.join_complete_relstr @t1)) % 1.74/1.90 (define @t30 () (tptp.up_complete_relstr @t1)) % 1.74/1.90 (define @t31 () (tptp.reflexive_relstr @t1)) % 1.74/1.90 (define @t32 () (tptp.empty_carrier @t1)) % 1.74/1.90 (define @t33 () (not @t32)) % 1.74/1.90 (define @t34 () (tptp.complete_relstr @t1)) % 1.74/1.90 (define @t35 () (tptp.heyting_relstr @t1)) % 1.74/1.90 (define @t36 () (tptp.distributive_relstr @t1)) % 1.74/1.90 (define @t37 () (tptp.upper_bounded_relstr @t1)) % 1.74/1.90 (define @t38 () (tptp.with_infima_relstr @t1)) % 1.74/1.90 (define @t39 () (tptp.with_suprema_relstr @t1)) % 1.74/1.90 (define @t40 () (tptp.antisymmetric_relstr @t1)) % 1.74/1.90 (define @t41 () (tptp.transitive_relstr @t1)) % 1.74/1.90 (define @t42 () (tptp.boolean_relstr @t1)) % 1.74/1.90 (define @t43 () (and @t33 @t42)) % 1.74/1.90 (define @t44 () (tptp.v1_xreal_0 @t11)) % 1.74/1.90 (define @t45 () (tptp.v2_membered @t1)) % 1.74/1.90 (define @t46 () (tptp.lower_bounded_relstr @t1)) % 1.74/1.90 (define @t47 () (tptp.v1_rat_1 @t11)) % 1.74/1.90 (define @t48 () (tptp.v3_membered @t1)) % 1.74/1.90 (define @t49 () (tptp.bounded_relstr @t1)) % 1.74/1.90 (define @t50 () (tptp.v1_int_1 @t11)) % 1.74/1.90 (define @t51 () (tptp.v4_membered @t1)) % 1.74/1.90 (define @t52 () (tptp.natural @t11)) % 1.74/1.90 (define @t53 () (tptp.v5_membered @t1)) % 1.74/1.90 (define @t54 () (tptp.empty @t1)) % 1.74/1.90 (define @t55 () (tptp.v1_membered @t11)) % 1.74/1.90 (define @t56 () (tptp.powerset @t1)) % 1.74/1.90 (define @t57 () (tptp.element @t11 @t56)) % 1.74/1.90 (define @t58 () (tptp.v2_membered @t11)) % 1.74/1.90 (define @t59 () (tptp.v3_membered @t11)) % 1.74/1.90 (define @t60 () (tptp.v4_membered @t11)) % 1.74/1.90 (define @t61 () (tptp.ordinal @t11)) % 1.74/1.90 (define @t62 () (tptp.epsilon_connected @t11)) % 1.74/1.90 (define @t63 () (tptp.epsilon_transitive @t11)) % 1.74/1.90 (define @t64 () (tptp.ordinal @t1)) % 1.74/1.90 (define @t65 () (tptp.finite @t1)) % 1.74/1.90 (define @t66 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 1.74/1.90 (define @t67 () (tptp.preboolean @t1)) % 1.74/1.90 (define @t68 () (tptp.function @t1)) % 1.74/1.90 (define @t69 () (@var "C" $$unsorted)) % 1.74/1.90 (define @t70 () (tptp.quasi_total @t69 @t1 @t11)) % 1.74/1.90 (define @t71 () (tptp.function @t69)) % 1.74/1.90 (define @t72 () (and @t71 @t70)) % 1.74/1.90 (define @t73 () (tptp.v1_partfun1 @t69 @t1 @t11)) % 1.74/1.90 (define @t74 () (tptp.relation_of2 @t69 @t1 @t11)) % 1.74/1.90 (define @t75 () (@list @t1 @t11 @t69)) % 1.74/1.90 (define @t76 () (tptp.bounded_lattstr @t1)) % 1.74/1.90 (define @t77 () (tptp.upper_bounded_semilattstr @t1)) % 1.74/1.90 (define @t78 () (tptp.lower_bounded_semilattstr @t1)) % 1.74/1.90 (define @t79 () (tptp.lattice @t1)) % 1.74/1.90 (define @t80 () (tptp.join_absorbing @t1)) % 1.74/1.90 (define @t81 () (tptp.meet_absorbing @t1)) % 1.74/1.90 (define @t82 () (tptp.meet_associative @t1)) % 1.74/1.90 (define @t83 () (tptp.meet_commutative @t1)) % 1.74/1.90 (define @t84 () (tptp.join_associative @t1)) % 1.74/1.90 (define @t85 () (tptp.join_commutative @t1)) % 1.74/1.90 (define @t86 () (tptp.complete_latt_str @t1)) % 1.74/1.91 (define @t87 () (and @t33 @t85 @t84 @t83 @t82 @t81 @t80)) % 1.74/1.91 (define @t88 () (and @t33 @t79)) % 1.74/1.91 (define @t89 () (tptp.epsilon_connected @t1)) % 1.74/1.91 (define @t90 () (tptp.epsilon_transitive @t1)) % 1.74/1.91 (define @t91 () (and @t90 @t89)) % 1.74/1.91 (define @t92 () (tptp.reflexive @t1)) % 1.74/1.91 (define @t93 () (tptp.relation @t1)) % 1.74/1.91 (define @t94 () (tptp.transitive @t1)) % 1.74/1.91 (define @t95 () (tptp.relation @t69)) % 1.74/1.91 (define @t96 () (tptp.cartesian_product2 @t1 @t11)) % 1.74/1.91 (define @t97 () (tptp.element @t69 (tptp.powerset @t96))) % 1.74/1.91 (define @t98 () (tptp.closed_subset @t11 @t1)) % 1.74/1.91 (define @t99 () (tptp.open_subset @t11 @t1)) % 1.74/1.91 (define @t100 () (tptp.empty @t11)) % 1.74/1.91 (define @t101 () (tptp.powerset @t3)) % 1.74/1.91 (define @t102 () (tptp.element @t11 @t101)) % 1.74/1.91 (define @t103 () (tptp.top_str @t1)) % 1.74/1.91 (define @t104 () (tptp.topological_space @t1)) % 1.74/1.91 (define @t105 () (and @t104 @t103)) % 1.74/1.91 (define @t106 () (tptp.filtered_subset @t11 @t1)) % 1.74/1.91 (define @t107 () (tptp.directed_subset @t11 @t1)) % 1.74/1.91 (define @t108 () (tptp.connected_relstr @t1)) % 1.74/1.91 (define @t109 () (and @t33 @t34)) % 1.74/1.91 (define @t110 () (tptp.v1_yellow_3 @t1)) % 1.74/1.91 (define @t111 () (tptp.v5_membered @t11)) % 1.74/1.91 (define @t112 () (tptp.natural @t1)) % 1.74/1.91 (define @t113 () (and @t90 @t89 @t64 @t112)) % 1.74/1.91 (define @t114 () (tptp.finite @t11)) % 1.74/1.91 (define @t115 () (tptp.one_to_one @t1)) % 1.74/1.91 (define @t116 () (and @t93 @t68 @t115)) % 1.74/1.91 (define @t117 () (and @t93 @t54 @t68)) % 1.74/1.91 (define @t118 () (tptp.one_to_one @t69)) % 1.74/1.91 (define @t119 () (and @t71 @t118 @t70 (tptp.onto @t69 @t1 @t11))) % 1.74/1.91 (define @t120 () (and @t71 @t70 (tptp.bijective @t69 @t1 @t11))) % 1.74/1.91 (define @t121 () (tptp.boundary_set @t11 @t1)) % 1.74/1.91 (define @t122 () (tptp.trivial_carrier @t1)) % 1.74/1.91 (define @t123 () (and @t33 @t31 @t122)) % 1.74/1.91 (define @t124 () (not @t110)) % 1.74/1.91 (define @t125 () (and @t33 @t76)) % 1.74/1.91 (define @t126 () (and @t33 @t78 @t77)) % 1.74/1.91 (define @t127 () (and @t90 @t89 @t64)) % 1.74/1.91 (define @t128 () (tptp.nowhere_dense @t11 @t1)) % 1.74/1.91 (define @t129 () (tptp.v2_waybel_3 @t1)) % 1.74/1.91 (define @t130 () (tptp.bijective @t11 @t1 @t1)) % 1.74/1.91 (define @t131 () (tptp.onto @t11 @t1 @t1)) % 1.74/1.91 (define @t132 () (tptp.quasi_total @t11 @t1 @t1)) % 1.74/1.91 (define @t133 () (tptp.one_to_one @t11)) % 1.74/1.91 (define @t134 () (tptp.function @t11)) % 1.74/1.91 (define @t135 () (tptp.reflexive @t11)) % 1.74/1.91 (define @t136 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 1.74/1.91 (define @t137 () (tptp.relation_of2 @t11 @t1 @t1)) % 1.74/1.91 (define @t138 () (tptp.v3_waybel_3 @t1)) % 1.74/1.91 (define @t139 () (and @t46 @t37)) % 1.74/1.91 (define @t140 () (@list @t69)) % 1.74/1.91 (define @t141 () (not @t100)) % 1.74/1.91 (define @t142 () (tptp.complemented_lattstr @t1)) % 1.74/1.91 (define @t143 () (tptp.distributive_lattstr @t1)) % 1.74/1.91 (define @t144 () (tptp.boolean_lattstr @t1)) % 1.74/1.91 (define @t145 () (and @t33 @t144)) % 1.74/1.91 (define @t146 () (and @t33 @t35)) % 1.74/1.91 (define @t147 () (tptp.empty @t69)) % 1.74/1.91 (define @t148 () (not @t54)) % 1.74/1.91 (define @t149 () (and @t148 @t141)) % 1.74/1.91 (define @t150 () (tptp.modular_lattstr @t1)) % 1.74/1.91 (define @t151 () (tptp.full_subrelstr @t11 @t1)) % 1.74/1.91 (define @t152 () (tptp.transitive_relstr @t11)) % 1.74/1.91 (define @t153 () (tptp.subrelstr @t11 @t1)) % 1.74/1.91 (define @t154 () (and @t41 @t5)) % 1.74/1.91 (define @t155 () (tptp.complemented_relstr @t1)) % 1.74/1.91 (define @t156 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t69)) % 1.74/1.91 (define @t157 () (tptp.element @t69 @t3)) % 1.74/1.91 (define @t158 () (tptp.element @t11 @t3)) % 1.74/1.91 (define @t159 () (and @t33 @t17 @t158 @t157)) % 1.74/1.91 (define @t160 () (tptp.unordered_pair @t1 @t11)) % 1.74/1.91 (define @t161 () (tptp.set_union2 @t11 @t1)) % 1.74/1.91 (define @t162 () (tptp.set_union2 @t1 @t11)) % 1.74/1.91 (define @t163 () (tptp.join_commut @t1 @t11 @t69)) % 1.74/1.91 (define @t164 () (tptp.join_semilatt_str @t1)) % 1.74/1.91 (define @t165 () (and @t33 @t85 @t164 @t158 @t157)) % 1.74/1.91 (define @t166 () (tptp.set_intersection2 @t11 @t1)) % 1.74/1.91 (define @t167 () (tptp.set_intersection2 @t1 @t11)) % 1.74/1.91 (define @t168 () (tptp.meet_commut @t1 @t11 @t69)) % 1.74/1.91 (define @t169 () (tptp.meet_semilatt_str @t1)) % 1.74/1.91 (define @t170 () (and @t33 @t83 @t169 @t158 @t157)) % 1.74/1.91 (define @t171 () (tptp.subset_union2 @t1 @t11 @t69)) % 1.74/1.91 (define @t172 () (tptp.element @t69 @t56)) % 1.74/1.91 (define @t173 () (and @t57 @t172)) % 1.74/1.91 (define @t174 () (tptp.subset_intersection2 @t1 @t11 @t69)) % 1.74/1.91 (define @t175 () (tptp.ordinal_subset @t1 @t11)) % 1.74/1.91 (define @t176 () (and @t64 @t61)) % 1.74/1.91 (define @t177 () (@var "D" $$unsorted)) % 1.74/1.91 (define @t178 () (= @t69 @t177)) % 1.74/1.91 (define @t179 () (tptp.in @t69 @t1)) % 1.74/1.91 (define @t180 () (tptp.ordered_pair @t69 @t177)) % 1.74/1.91 (define @t181 () (tptp.in @t180 @t11)) % 1.74/1.91 (define @t182 () (@list @t69 @t177)) % 1.74/1.91 (define @t183 () (tptp.identity_relation @t1)) % 1.74/1.91 (define @t184 () (= @t11 @t183)) % 1.74/1.91 (define @t185 () (tptp.relation @t11)) % 1.74/1.91 (define @t186 () (tptp.subset @t11 @t1)) % 1.74/1.91 (define @t187 () (tptp.subset @t1 @t11)) % 1.74/1.91 (define @t188 () (= @t1 @t11)) % 1.74/1.91 (define @t189 () (tptp.related @t1 @t177 @t69)) % 1.74/1.91 (define @t190 () (tptp.relstr_element_smaller @t1 @t11 @t177)) % 1.74/1.91 (define @t191 () (tptp.element @t177 @t3)) % 1.74/1.91 (define @t192 () (@list @t177)) % 1.74/1.91 (define @t193 () (forall @t192 (=> @t191 (=> @t190 @t189)))) % 1.74/1.91 (define @t194 () (tptp.relstr_element_smaller @t1 @t11 @t69)) % 1.74/1.91 (define @t195 () (tptp.meet_on_relstr @t1 @t11)) % 1.74/1.91 (define @t196 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 1.74/1.91 (define @t197 () (@list @t11 @t69)) % 1.74/1.91 (define @t198 () (tptp.identity_on_carrier @t1)) % 1.74/1.91 (define @t199 () (@var "E" $$unsorted)) % 1.74/1.91 (define @t200 () (tptp.ordered_pair @t177 @t199)) % 1.74/1.91 (define @t201 () (tptp.in @t200 @t1)) % 1.74/1.91 (define @t202 () (tptp.in @t177 @t11)) % 1.74/1.91 (define @t203 () (tptp.in @t200 @t69)) % 1.74/1.91 (define @t204 () (@list @t177 @t199)) % 1.74/1.91 (define @t205 () (tptp.relation_dom_restriction @t1 @t11)) % 1.74/1.91 (define @t206 () (tptp.in (tptp.apply_netmap @t1 @t11 @t199) @t69)) % 1.74/1.91 (define @t207 () (tptp.related @t11 @t177 @t199)) % 1.74/1.91 (define @t208 () (tptp.element @t199 @t14)) % 1.74/1.91 (define @t209 () (@list @t199)) % 1.74/1.91 (define @t210 () (tptp.element @t177 @t14)) % 1.74/1.91 (define @t211 () (tptp.is_eventually_in @t1 @t11 @t69)) % 1.74/1.91 (define @t212 () (tptp.empty_carrier @t11)) % 1.74/1.91 (define @t213 () (not @t212)) % 1.74/1.91 (define @t214 () (and @t213 @t16)) % 1.74/1.91 (define @t215 () (and @t33 @t17)) % 1.74/1.91 (define @t216 () (tptp.bottom_of_relstr @t1)) % 1.74/1.91 (define @t217 () (tptp.in @t199 @t11)) % 1.74/1.91 (define @t218 () (tptp.relation_dom @t1)) % 1.74/1.91 (define @t219 () (tptp.in @t177 @t69)) % 1.74/1.91 (define @t220 () (tptp.relation_image @t1 @t11)) % 1.74/1.91 (define @t221 () (= @t69 @t220)) % 1.74/1.91 (define @t222 () (and @t93 @t68)) % 1.74/1.91 (define @t223 () (tptp.in @t199 @t1)) % 1.74/1.91 (define @t224 () (tptp.relation_rng_restriction @t1 @t11)) % 1.74/1.91 (define @t225 () (tptp.relation_field @t1)) % 1.74/1.91 (define @t226 () (tptp.antisymmetric @t1)) % 1.74/1.91 (define @t227 () (tptp.is_often_in @t1 @t11 @t69)) % 1.74/1.91 (define @t228 () (@var "G" $$unsorted)) % 1.74/1.91 (define @t229 () (tptp.the_carrier @t69)) % 1.74/1.91 (define @t230 () (@var "F" $$unsorted)) % 1.74/1.91 (define @t231 () (tptp.related @t69 @t230 @t228)) % 1.74/1.91 (define @t232 () (tptp.element @t228 @t229)) % 1.74/1.91 (define @t233 () (@list @t228)) % 1.74/1.91 (define @t234 () (tptp.element @t230 @t229)) % 1.74/1.91 (define @t235 () (@list @t230)) % 1.74/1.91 (define @t236 () (tptp.the_mapping @t1 @t69)) % 1.74/1.91 (define @t237 () (tptp.function @t177)) % 1.74/1.91 (define @t238 () (tptp.subnet @t69 @t1 @t11)) % 1.74/1.91 (define @t239 () (tptp.net_str @t69 @t1)) % 1.74/1.91 (define @t240 () (tptp.directed_relstr @t69)) % 1.74/1.91 (define @t241 () (tptp.transitive_relstr @t69)) % 1.74/1.91 (define @t242 () (tptp.empty_carrier @t69)) % 1.74/1.91 (define @t243 () (not @t242)) % 1.74/1.91 (define @t244 () (and @t243 @t241 @t240 @t239)) % 1.74/1.91 (define @t245 () (tptp.directed_relstr @t11)) % 1.74/1.91 (define @t246 () (and @t213 @t152 @t245 @t16)) % 1.74/1.91 (define @t247 () (tptp.apply @t1 @t177)) % 1.74/1.91 (define @t248 () (tptp.in @t177 @t218)) % 1.74/1.91 (define @t249 () (= @t69 (tptp.relation_inverse_image @t1 @t11))) % 1.74/1.91 (define @t250 () (tptp.meet @t1 @t11 @t69)) % 1.74/1.91 (define @t251 () (forall @t140 (=> @t157 (and (= @t250 @t11) (= (tptp.meet @t1 @t69 @t11) @t11))))) % 1.74/1.91 (define @t252 () (and @t33 @t169)) % 1.74/1.91 (define @t253 () (tptp.element @t199 @t101)) % 1.74/1.91 (define @t254 () (tptp.topstr_closure @t1 @t11)) % 1.74/1.91 (define @t255 () (tptp.element @t69 @t101)) % 1.74/1.91 (define @t256 () (tptp.ordered_pair @t199 @t177)) % 1.74/1.91 (define @t257 () (tptp.rel_str @t11)) % 1.74/1.91 (define @t258 () (tptp.the_carrier @t177)) % 1.74/1.91 (define @t259 () (tptp.preimage_subnetstr @t1 @t11 @t69)) % 1.74/1.91 (define @t260 () (= @t177 @t259)) % 1.74/1.91 (define @t261 () (tptp.strict_net_str @t177 @t1)) % 1.74/1.91 (define @t262 () (tptp.connected @t1)) % 1.74/1.91 (define @t263 () (tptp.latt_set_smaller @t1 @t11 @t69)) % 1.74/1.91 (define @t264 () (and @t33 @t10)) % 1.74/1.91 (define @t265 () (tptp.bottom_of_semilattstr @t1)) % 1.74/1.91 (define @t266 () (tptp.lim_points_of_net @t1 @t11)) % 1.74/1.91 (define @t267 () (and @t33 @t104 @t103)) % 1.74/1.91 (define @t268 () (tptp.ordered_pair @t11 @t69)) % 1.74/1.91 (define @t269 () (tptp.interior @t1 @t69)) % 1.74/1.91 (define @t270 () (tptp.point_neighbourhood @t69 @t1 @t11)) % 1.74/1.91 (define @t271 () (= @t199 @t69)) % 1.74/1.91 (define @t272 () (tptp.in @t199 @t177)) % 1.74/1.91 (define @t273 () (@list @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t274 () (tptp.relation_dom @t11)) % 1.74/1.91 (define @t275 () (tptp.relation_rng @t11)) % 1.74/1.91 (define @t276 () (tptp.in (tptp.ordered_pair @t11 @t177) @t1)) % 1.74/1.91 (define @t277 () (tptp.in @t268 @t1)) % 1.74/1.91 (define @t278 () (@list @t11 @t69 @t177)) % 1.74/1.91 (define @t279 () (= @t69 tptp.empty_set)) % 1.74/1.91 (define @t280 () (= @t1 tptp.empty_set)) % 1.74/1.91 (define @t281 () (= @t11 tptp.empty_set)) % 1.74/1.91 (define @t282 () (tptp.relation_dom_as_subset @t1 @t11 @t69)) % 1.74/1.91 (define @t283 () (tptp.relation_of2_as_subset @t69 @t1 @t11)) % 1.74/1.91 (define @t284 () (tptp.element @t177 @t56)) % 1.74/1.91 (define @t285 () (tptp.boole_lattice @t1)) % 1.74/1.91 (define @t286 () (tptp.latt_str @t11)) % 1.74/1.91 (define @t287 () (tptp.join @t1 @t11 @t69)) % 1.74/1.91 (define @t288 () (and @t33 @t164)) % 1.74/1.91 (define @t289 () (= @t11 @t69)) % 1.74/1.91 (define @t290 () (= @t1 @t180)) % 1.74/1.91 (define @t291 () (exists @t197 (= @t1 @t268))) % 1.74/1.91 (define @t292 () (tptp.singleton @t1)) % 1.74/1.91 (define @t293 () (tptp.succ @t1)) % 1.74/1.91 (define @t294 () (tptp.the_topology @t1)) % 1.74/1.91 (define @t295 () (tptp.in @t11 @t294)) % 1.74/1.91 (define @t296 () (tptp.union_of_subsets @t3 @t11)) % 1.74/1.91 (define @t297 () (tptp.powerset @t101)) % 1.74/1.91 (define @t298 () (tptp.element @t11 @t297)) % 1.74/1.91 (define @t299 () (tptp.in @t69 @t11)) % 1.74/1.91 (define @t300 () (tptp.is_reflexive_in @t1 @t11)) % 1.74/1.91 (define @t301 () (= @t11 (tptp.set_meet @t1))) % 1.74/1.91 (define @t302 () (tptp.in @t69 @t177)) % 1.74/1.91 (define @t303 () (tptp.in @t177 @t1)) % 1.74/1.91 (define @t304 () (not @t280)) % 1.74/1.91 (define @t305 () (tptp.empty @t3)) % 1.74/1.91 (define @t306 () (tptp.subset_complement @t3 @t11)) % 1.74/1.91 (define @t307 () (tptp.interior @t1 @t11)) % 1.74/1.91 (define @t308 () (tptp.open_subset @t69 @t1)) % 1.74/1.91 (define @t309 () (tptp.open_subsets @t11 @t1)) % 1.74/1.91 (define @t310 () (tptp.related @t1 @t177 @t199)) % 1.74/1.91 (define @t311 () (tptp.element @t199 @t3)) % 1.74/1.91 (define @t312 () (= @t177 @t11)) % 1.74/1.91 (define @t313 () (tptp.subset @t69 @t177)) % 1.74/1.91 (define @t314 () (tptp.relation_field @t11)) % 1.74/1.91 (define @t315 () (tptp.inclusion_relation @t1)) % 1.74/1.91 (define @t316 () (tptp.neighborhood_system @t1 @t11)) % 1.74/1.91 (define @t317 () (tptp.inclusion_order @t1)) % 1.74/1.91 (define @t318 () (tptp.incl_POSet @t1)) % 1.74/1.91 (define @t319 () (tptp.related @t1 @t69 @t177)) % 1.74/1.91 (define @t320 () (tptp.upper_relstr_subset @t11 @t1)) % 1.74/1.91 (define @t321 () (tptp.join_of_latt_set @t1 @t11)) % 1.74/1.91 (define @t322 () (and @t33 @t79 @t86 @t10)) % 1.74/1.91 (define @t323 () (tptp.meet_of_latt_set @t1 @t11)) % 1.74/1.91 (define @t324 () (tptp.set_meet @t11)) % 1.74/1.91 (define @t325 () (not @t281)) % 1.74/1.91 (define @t326 () (tptp.k2_lattice3 @t1)) % 1.74/1.91 (define @t327 () (tptp.poset_of_lattice @t1)) % 1.74/1.91 (define @t328 () (and @t33 @t79 @t10)) % 1.74/1.91 (define @t329 () (= @t11 @t177)) % 1.74/1.91 (define @t330 () (tptp.empty_carrier_subset @t1)) % 1.74/1.91 (define @t331 () (tptp.in @t180 @t1)) % 1.74/1.91 (define @t332 () (= @t177 @t1)) % 1.74/1.91 (define @t333 () (tptp.union @t1)) % 1.74/1.91 (define @t334 () (= @t11 @t333)) % 1.74/1.91 (define @t335 () (forall @t140 (=> @t255 (=> @t299 (tptp.closed_subset @t69 @t1))))) % 1.74/1.91 (define @t336 () (tptp.closed_subsets @t11 @t1)) % 1.74/1.91 (define @t337 () (tptp.well_founded_relation @t1)) % 1.74/1.91 (define @t338 () (tptp.netstr_restr_to_element @t1 @t11 @t177)) % 1.74/1.91 (define @t339 () (tptp.netstr_induced_subset @t69 @t1 @t11)) % 1.74/1.91 (define @t340 () (tptp.related @t1 @t11 @t177)) % 1.74/1.91 (define @t341 () (tptp.related @t1 @t11 @t69)) % 1.74/1.91 (define @t342 () (forall @t27 (=> @t158 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (=> (and @t341 @t319) @t340)))))))) % 1.74/1.91 (define @t343 () (tptp.boole_POSet @t1)) % 1.74/1.91 (define @t344 () (tptp.ordered_pair @t199 @t230)) % 1.74/1.91 (define @t345 () (tptp.in @t230 @t11)) % 1.74/1.91 (define @t346 () (@list @t199 @t230)) % 1.74/1.91 (define @t347 () (tptp.finite @t69)) % 1.74/1.91 (define @t348 () (tptp.subset @t69 @t11)) % 1.74/1.91 (define @t349 () (tptp.element @t69 @t297)) % 1.74/1.91 (define @t350 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 1.74/1.91 (define @t351 () (tptp.compact_top_space @t1)) % 1.74/1.91 (define @t352 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 1.74/1.91 (define @t353 () (tptp.below @t1 @t11 @t69)) % 1.74/1.91 (define @t354 () (not @t299)) % 1.74/1.91 (define @t355 () (not @t289)) % 1.74/1.91 (define @t356 () (tptp.in @t11 @t69)) % 1.74/1.91 (define @t357 () (tptp.cast_as_carrier_subset @t1)) % 1.74/1.91 (define @t358 () (forall @t140 (=> @t179 @t299))) % 1.74/1.91 (define @t359 () (not @t279)) % 1.74/1.91 (define @t360 () (tptp.is_well_founded_in @t1 @t11)) % 1.74/1.91 (define @t361 () (tptp.filter_of_net_str @t1 @t11)) % 1.74/1.91 (define @t362 () (= @t361 (tptp.a_2_1_yellow19 @t1 @t11))) % 1.74/1.91 (define @t363 () (forall @t27 (=> @t214 @t362))) % 1.74/1.91 (define @t364 () (=> @t215 @t363)) % 1.74/1.91 (define @t365 () (forall @t6 @t364)) % 1.74/1.91 (define @t366 () (tptp.apply @t1 @t11)) % 1.74/1.91 (define @t367 () (= @t69 @t366)) % 1.74/1.91 (define @t368 () (tptp.in @t11 @t218)) % 1.74/1.91 (define @t369 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 1.74/1.91 (define @t370 () (tptp.the_carrier @t327)) % 1.74/1.91 (define @t371 () (tptp.element @t11 @t370)) % 1.74/1.91 (define @t372 () (tptp.in (tptp.ordered_pair @t177 @t69) @t1)) % 1.74/1.91 (define @t373 () (tptp.is_antisymmetric_in @t1 @t11)) % 1.74/1.91 (define @t374 () (tptp.cast_to_subset @t1)) % 1.74/1.91 (define @t375 () (tptp.well_ordering @t1)) % 1.74/1.91 (define @t376 () (tptp.relation_rng @t69)) % 1.74/1.91 (define @t377 () (tptp.relation_dom @t69)) % 1.74/1.91 (define @t378 () (= @t377 @t1)) % 1.74/1.91 (define @t379 () (tptp.equipotent @t1 @t11)) % 1.74/1.91 (define @t380 () (tptp.set_difference @t1 @t11)) % 1.74/1.91 (define @t381 () (and @t248 (= @t69 @t247))) % 1.74/1.91 (define @t382 () (tptp.relation_rng @t1)) % 1.74/1.91 (define @t383 () (= @t11 @t382)) % 1.74/1.91 (define @t384 () (tptp.being_limit_ordinal @t1)) % 1.74/1.91 (define @t385 () (tptp.subset_complement @t1 @t11)) % 1.74/1.91 (define @t386 () (tptp.ordered_pair @t1 @t11)) % 1.74/1.91 (define @t387 () (tptp.element @t177 @t101)) % 1.74/1.91 (define @t388 () (tptp.is_connected_in @t1 @t11)) % 1.74/1.91 (define @t389 () (tptp.is_transitive_in @t1 @t11)) % 1.74/1.91 (define @t390 () (tptp.directed_relstr @t1)) % 1.74/1.91 (define @t391 () (and @t33 @t5)) % 1.74/1.91 (define @t392 () (tptp.subset_difference @t3 @t357 @t11)) % 1.74/1.91 (define @t393 () (tptp.cartesian_product2 @t11 @t11)) % 1.74/1.91 (define @t394 () (tptp.relation_restriction @t1 @t11)) % 1.74/1.91 (define @t395 () (tptp.relation_inverse @t1)) % 1.74/1.91 (define @t396 () (= @t230 @t199)) % 1.74/1.91 (define @t397 () (tptp.element @t230 @t14)) % 1.74/1.91 (define @t398 () (tptp.netstr_restr_to_element @t1 @t11 @t69)) % 1.74/1.91 (define @t399 () (tptp.element @t69 @t14)) % 1.74/1.91 (define @t400 () (tptp.apply @t69 @t199)) % 1.74/1.91 (define @t401 () (tptp.apply @t69 @t177)) % 1.74/1.91 (define @t402 () (tptp.relation_isomorphism @t1 @t11 @t69)) % 1.74/1.91 (define @t403 () (and @t95 @t71)) % 1.74/1.91 (define @t404 () (tptp.disjoint @t1 @t11)) % 1.74/1.91 (define @t405 () (= @t177 @t69)) % 1.74/1.91 (define @t406 () (tptp.relstr_set_smaller @t1 @t11 @t177)) % 1.74/1.91 (define @t407 () (forall @t192 (=> @t191 (=> @t406 @t319)))) % 1.74/1.91 (define @t408 () (tptp.relstr_set_smaller @t1 @t11 @t69)) % 1.74/1.91 (define @t409 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 1.74/1.91 (define @t410 () (tptp.relation_of_lattice @t1)) % 1.74/1.91 (define @t411 () (tptp.relation_composition @t1 @t11)) % 1.74/1.91 (define @t412 () (@list @t69 @t177 @t199)) % 1.74/1.91 (define @t413 () (tptp.complements_of_subsets @t1 @t11)) % 1.74/1.91 (define @t414 () (tptp.powerset @t56)) % 1.74/1.91 (define @t415 () (tptp.element @t11 @t414)) % 1.74/1.91 (define @t416 () (tptp.apply_netmap @t1 @t11 @t69)) % 1.74/1.91 (define @t417 () (not @t188)) % 1.74/1.91 (define @t418 () (tptp.subrelstr @t69 @t11)) % 1.74/1.91 (define @t419 () (tptp.subnetstr @t69 @t1 @t11)) % 1.74/1.91 (define @t420 () (tptp.function_inverse @t1)) % 1.74/1.91 (define @t421 () (tptp.is_often_in @t1 @t11 @t177)) % 1.74/1.91 (define @t422 () (tptp.point_neighbourhood @t177 @t1 @t69)) % 1.74/1.91 (define @t423 () (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t69)) % 1.74/1.91 (define @t424 () (tptp.join_on_relstr @t1 @t11)) % 1.74/1.91 (define @t425 () (tptp.full_subnetstr @t69 @t1 @t11)) % 1.74/1.91 (define @t426 () (tptp.rel_str_of @t1 @t11)) % 1.74/1.91 (define @t427 () (tptp.strict_rel_str @t426)) % 1.74/1.91 (define @t428 () (tptp.net_str_of @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t429 () (tptp.strict_net_str @t428 @t1)) % 1.74/1.91 (define @t430 () (tptp.relation_of2 @t177 @t11 @t3)) % 1.74/1.91 (define @t431 () (tptp.quasi_total @t177 @t11 @t3)) % 1.74/1.91 (define @t432 () (tptp.relation_of2 @t69 @t11 @t11)) % 1.74/1.91 (define @t433 () (and @t17 @t432 @t237 @t431 @t430)) % 1.74/1.91 (define @t434 () (tptp.latt_str_of @t1 @t11 @t69)) % 1.74/1.91 (define @t435 () (tptp.strict_latt_str @t434)) % 1.74/1.91 (define @t436 () (tptp.cartesian_product2 @t1 @t1)) % 1.74/1.91 (define @t437 () (tptp.relation_of2 @t69 @t436 @t1)) % 1.74/1.91 (define @t438 () (tptp.quasi_total @t69 @t436 @t1)) % 1.74/1.91 (define @t439 () (tptp.relation_of2 @t11 @t436 @t1)) % 1.74/1.91 (define @t440 () (tptp.quasi_total @t11 @t436 @t1)) % 1.74/1.91 (define @t441 () (and @t134 @t440 @t439 @t71 @t438 @t437)) % 1.74/1.91 (define @t442 () (tptp.k8_filter_1 @t1 @t11)) % 1.74/1.91 (define @t443 () (tptp.k10_filter_1 @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t444 () (tptp.lattice @t11)) % 1.74/1.91 (define @t445 () (and @t33 @t79 @t10 @t213 @t444 @t286 @t157 @t210)) % 1.74/1.91 (define @t446 () (tptp.ordered_pair_as_product_element @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t447 () (tptp.element @t69 @t1)) % 1.74/1.91 (define @t448 () (and @t148 @t141 @t447 (tptp.element @t177 @t11))) % 1.74/1.91 (define @t449 () (tptp.strict_latt_str @t285)) % 1.74/1.91 (define @t450 () (tptp.k1_pcomps_1 @t1)) % 1.74/1.91 (define @t451 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 1.74/1.91 (define @t452 () (and @t103 @t102)) % 1.74/1.91 (define @t453 () (tptp.apply_on_structs @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t454 () (tptp.relation_of2 @t69 @t3 @t14)) % 1.74/1.91 (define @t455 () (tptp.quasi_total @t69 @t3 @t14)) % 1.74/1.91 (define @t456 () (tptp.one_sorted_str @t11)) % 1.74/1.91 (define @t457 () (and @t33 @t17 @t213 @t456 @t71 @t455 @t454 @t191)) % 1.74/1.91 (define @t458 () (tptp.boole_POSet @t357)) % 1.74/1.91 (define @t459 () (tptp.powerset (tptp.the_carrier @t458))) % 1.74/1.91 (define @t460 () (and @t33 @t104 @t103 @t158)) % 1.74/1.91 (define @t461 () (tptp.apply_binary_as_element @t1 @t11 @t69 @t177 @t199 @t230)) % 1.74/1.91 (define @t462 () (and @t148 @t141 @t237 (tptp.quasi_total @t177 @t96 @t69) (tptp.relation_of2 @t177 @t96 @t69) (tptp.element @t199 @t1) (tptp.element @t230 @t11))) % 1.74/1.91 (define @t463 () (@list @t1 @t11 @t69 @t177 @t199 @t230)) % 1.74/1.91 (define @t464 () (tptp.partfun_dom_restriction @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t465 () (and @t71 @t74)) % 1.74/1.91 (define @t466 () (and @t33 @t17 @t213 @t16)) % 1.74/1.91 (define @t467 () (tptp.strict_rel_str @t318)) % 1.74/1.91 (define @t468 () (tptp.antisymmetric_relstr @t327)) % 1.74/1.91 (define @t469 () (tptp.transitive_relstr @t327)) % 1.74/1.91 (define @t470 () (tptp.reflexive_relstr @t327)) % 1.74/1.91 (define @t471 () (tptp.strict_rel_str @t327)) % 1.74/1.91 (define @t472 () (and @t33 @t17 @t213 @t16 @t399)) % 1.74/1.91 (define @t473 () (tptp.strict_rel_str @t343)) % 1.74/1.91 (define @t474 () (tptp.apply_on_set_and_struct @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t475 () (tptp.element @t177 @t1)) % 1.74/1.91 (define @t476 () (tptp.relation_of2 @t69 @t1 @t14)) % 1.74/1.91 (define @t477 () (tptp.quasi_total @t69 @t1 @t14)) % 1.74/1.91 (define @t478 () (and @t148 @t213 @t257 @t71 @t477 @t476 @t475)) % 1.74/1.91 (define @t479 () (tptp.relation @t395)) % 1.74/1.91 (define @t480 () (tptp.function_invverse_img_as_carrier_subset @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t481 () (and @t17 @t456 @t71 @t455 @t454)) % 1.74/1.91 (define @t482 () (tptp.relation @t411)) % 1.74/1.91 (define @t483 () (and @t93 @t185)) % 1.74/1.91 (define @t484 () (tptp.powerset @t11)) % 1.74/1.91 (define @t485 () (tptp.relation_rng_as_subset @t1 @t11 @t69)) % 1.74/1.91 (define @t486 () (tptp.union_of_subsets @t1 @t11)) % 1.74/1.91 (define @t487 () (tptp.strict_net_str @t398 @t1)) % 1.74/1.91 (define @t488 () (tptp.identity_as_relation_of @t1)) % 1.74/1.91 (define @t489 () (tptp.relation @t183)) % 1.74/1.91 (define @t490 () (tptp.meet_of_subsets @t1 @t11)) % 1.74/1.91 (define @t491 () (tptp.subset_difference @t1 @t11 @t69)) % 1.74/1.91 (define @t492 () (tptp.subnetstr_of_element @t1 @t11 @t69)) % 1.74/1.91 (define @t493 () (and @t33 @t17 @t213 @t152 @t245 @t16 @t399)) % 1.74/1.91 (define @t494 () (tptp.strict_net_str @t259 @t1)) % 1.74/1.91 (define @t495 () (tptp.function_of_composition @t1 @t11 @t69 @t177 @t199)) % 1.74/1.91 (define @t496 () (tptp.function @t199)) % 1.74/1.91 (define @t497 () (tptp.quasi_total @t177 @t1 @t11)) % 1.74/1.91 (define @t498 () (and @t141 @t237 @t497 (tptp.relation_of2 @t177 @t1 @t11) @t496 (tptp.quasi_total @t199 @t11 @t69) (tptp.relation_of2 @t199 @t11 @t69))) % 1.74/1.91 (define @t499 () (@list @t1 @t11 @t69 @t177 @t199)) % 1.74/1.91 (define @t500 () (tptp.relation @t205)) % 1.74/1.91 (define @t501 () (tptp.apply_on_set_and_struct2 @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t502 () (and @t148 @t213 @t456 @t71 @t477 @t476 @t475)) % 1.74/1.91 (define @t503 () (tptp.apply_as_element @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t504 () (and @t148 @t71 @t70 @t74 @t475)) % 1.74/1.91 (define @t505 () (tptp.relation @t224)) % 1.74/1.91 (define @t506 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t69 @t177)) % 1.74/1.91 (define @t507 () (and @t33 @t17 @t213 @t152 @t245 @t16)) % 1.74/1.91 (define @t508 () (tptp.cartesian_product2 @t3 @t3)) % 1.74/1.91 (define @t509 () (tptp.quasi_total @t7 @t508 @t3)) % 1.74/1.91 (define @t510 () (tptp.function @t7)) % 1.74/1.91 (define @t511 () (tptp.quasi_total @t12 @t14 @t3)) % 1.74/1.91 (define @t512 () (tptp.function @t12)) % 1.74/1.91 (define @t513 () (tptp.quasi_total @t8 @t508 @t3)) % 1.74/1.91 (define @t514 () (tptp.function @t8)) % 1.74/1.91 (define @t515 () (tptp.finite @t167)) % 1.74/1.91 (define @t516 () (tptp.relation_composition @t11 @t1)) % 1.74/1.91 (define @t517 () (and @t54 @t185)) % 1.74/1.91 (define @t518 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.74/1.91 (define @t519 () (tptp.relation tptp.empty_set)) % 1.74/1.91 (define @t520 () (tptp.empty tptp.empty_set)) % 1.74/1.91 (define @t521 () (tptp.relation_empty_yielding @t1)) % 1.74/1.91 (define @t522 () (and @t93 @t521)) % 1.74/1.91 (define @t523 () (tptp.relation @t2)) % 1.74/1.91 (define @t524 () (and @t65 @t114)) % 1.74/1.91 (define @t525 () (not (tptp.empty @t357))) % 1.74/1.91 (define @t526 () (not (tptp.empty @t292))) % 1.74/1.91 (define @t527 () (not (tptp.empty @t56))) % 1.74/1.91 (define @t528 () (tptp.boolean_lattstr @t285)) % 1.74/1.91 (define @t529 () (tptp.complemented_lattstr @t285)) % 1.74/1.91 (define @t530 () (tptp.bounded_lattstr @t285)) % 1.74/1.91 (define @t531 () (tptp.upper_bounded_semilattstr @t285)) % 1.74/1.91 (define @t532 () (tptp.lower_bounded_semilattstr @t285)) % 1.74/1.91 (define @t533 () (tptp.modular_lattstr @t285)) % 1.74/1.91 (define @t534 () (tptp.distributive_lattstr @t285)) % 1.74/1.91 (define @t535 () (tptp.lattice @t285)) % 1.74/1.91 (define @t536 () (tptp.join_absorbing @t285)) % 1.74/1.91 (define @t537 () (tptp.meet_absorbing @t285)) % 1.74/1.91 (define @t538 () (tptp.meet_associative @t285)) % 1.74/1.91 (define @t539 () (tptp.meet_commutative @t285)) % 1.74/1.91 (define @t540 () (tptp.join_associative @t285)) % 1.74/1.91 (define @t541 () (tptp.join_commutative @t285)) % 1.74/1.91 (define @t542 () (not (tptp.empty_carrier @t285))) % 1.74/1.91 (define @t543 () (not (tptp.empty @t293))) % 1.74/1.91 (define @t544 () (tptp.distributive_relstr @t343)) % 1.74/1.91 (define @t545 () (tptp.join_complete_relstr @t343)) % 1.74/1.91 (define @t546 () (tptp.up_complete_relstr @t343)) % 1.74/1.91 (define @t547 () (tptp.bounded_relstr @t343)) % 1.74/1.91 (define @t548 () (tptp.upper_bounded_relstr @t343)) % 1.74/1.91 (define @t549 () (tptp.lower_bounded_relstr @t343)) % 1.74/1.91 (define @t550 () (tptp.complete_relstr @t343)) % 1.74/1.91 (define @t551 () (tptp.with_infima_relstr @t343)) % 1.74/1.91 (define @t552 () (tptp.with_suprema_relstr @t343)) % 1.74/1.91 (define @t553 () (tptp.antisymmetric_relstr @t343)) % 1.74/1.91 (define @t554 () (tptp.transitive_relstr @t343)) % 1.74/1.91 (define @t555 () (tptp.reflexive_relstr @t343)) % 1.74/1.91 (define @t556 () (not (tptp.empty_carrier @t343))) % 1.74/1.91 (define @t557 () (tptp.boolean_relstr @t343)) % 1.74/1.91 (define @t558 () (tptp.complemented_relstr @t343)) % 1.74/1.91 (define @t559 () (tptp.heyting_relstr @t343)) % 1.74/1.91 (define @t560 () (not (tptp.v1_yellow_3 @t343))) % 1.74/1.91 (define @t561 () (tptp.rel_str_of @t292 @t11)) % 1.74/1.91 (define @t562 () (tptp.with_infima_relstr @t327)) % 1.74/1.91 (define @t563 () (tptp.with_suprema_relstr @t327)) % 1.74/1.91 (define @t564 () (not (tptp.empty_carrier @t327))) % 1.74/1.91 (define @t565 () (not (tptp.empty_carrier @t398))) % 1.74/1.91 (define @t566 () (tptp.v1_membered @t167)) % 1.74/1.91 (define @t567 () (tptp.v1_membered @t166)) % 1.74/1.91 (define @t568 () (tptp.v2_membered @t167)) % 1.74/1.91 (define @t569 () (tptp.ordinal @t293)) % 1.74/1.91 (define @t570 () (tptp.epsilon_connected @t293)) % 1.74/1.91 (define @t571 () (tptp.epsilon_transitive @t293)) % 1.74/1.91 (define @t572 () (not (tptp.empty @t160))) % 1.74/1.91 (define @t573 () (tptp.function @t183)) % 1.74/1.91 (define @t574 () (tptp.v1_partfun1 @t8 @t508 @t3)) % 1.74/1.91 (define @t575 () (tptp.relation @t8)) % 1.74/1.91 (define @t576 () (and @t33 @t85 @t164)) % 1.74/1.91 (define @t577 () (and @t104 @t103 @t102)) % 1.74/1.91 (define @t578 () (and @t525 (tptp.directed_subset @t357 @t1))) % 1.74/1.91 (define @t579 () (tptp.upper_bounded_relstr @t327)) % 1.74/1.91 (define @t580 () (tptp.v2_membered @t166)) % 1.74/1.91 (define @t581 () (tptp.v3_membered @t167)) % 1.74/1.91 (define @t582 () (tptp.v3_membered @t166)) % 1.74/1.91 (define @t583 () (tptp.v4_membered @t167)) % 1.74/1.91 (define @t584 () (tptp.v4_membered @t166)) % 1.74/1.91 (define @t585 () (tptp.v1_membered @t380)) % 1.74/1.91 (define @t586 () (tptp.v2_membered @t380)) % 1.74/1.91 (define @t587 () (tptp.v3_membered @t380)) % 1.74/1.91 (define @t588 () (tptp.transitive @t11)) % 1.74/1.91 (define @t589 () (tptp.antisymmetric @t11)) % 1.74/1.91 (define @t590 () (tptp.open_subset @t306 @t1)) % 1.74/1.91 (define @t591 () (tptp.lower_bounded_relstr @t327)) % 1.74/1.91 (define @t592 () (tptp.v4_membered @t380)) % 1.74/1.91 (define @t593 () (tptp.v1_partfun1 @t7 @t508 @t3)) % 1.74/1.91 (define @t594 () (tptp.relation @t7)) % 1.74/1.91 (define @t595 () (tptp.closed_subset @t306 @t1)) % 1.74/1.91 (define @t596 () (and @t525 (tptp.filtered_subset @t357 @t1))) % 1.74/1.91 (define @t597 () (and @t185 @t134)) % 1.74/1.91 (define @t598 () (tptp.closed_subset @t357 @t1)) % 1.74/1.91 (define @t599 () (tptp.empty @t218)) % 1.74/1.91 (define @t600 () (and @t148 @t93)) % 1.74/1.91 (define @t601 () (tptp.antisymmetric_relstr @t318)) % 1.74/1.91 (define @t602 () (tptp.transitive_relstr @t318)) % 1.74/1.91 (define @t603 () (tptp.reflexive_relstr @t318)) % 1.74/1.91 (define @t604 () (tptp.empty @t382)) % 1.74/1.91 (define @t605 () (tptp.open_subset @t307 @t1)) % 1.74/1.91 (define @t606 () (and @t213 @t444 @t286)) % 1.74/1.91 (define @t607 () (= @t1 @t177)) % 1.74/1.91 (define @t608 () (tptp.top_str @t11)) % 1.74/1.91 (define @t609 () (tptp.is_eventually_in @t11 @t69 @t177)) % 1.74/1.91 (define @t610 () (tptp.powerset @t14)) % 1.74/1.91 (define @t611 () (tptp.element @t177 @t610)) % 1.74/1.91 (define @t612 () (and @t611 @t607 @t609)) % 1.74/1.91 (define @t613 () (exists @t192 @t612)) % 1.74/1.91 (define @t614 () (tptp.in @t1 (tptp.a_2_1_yellow19 @t11 @t69))) % 1.74/1.91 (define @t615 () (= @t614 @t613)) % 1.74/1.91 (define @t616 () (tptp.net_str @t69 @t11)) % 1.74/1.91 (define @t617 () (and @t213 @t456 @t243 @t616)) % 1.74/1.91 (define @t618 () (=> @t617 @t615)) % 1.74/1.91 (define @t619 () (forall @t75 @t618)) % 1.74/1.91 (define @t620 () (exists @t192 (and @t210 @t607 (tptp.latt_set_smaller @t11 @t177 @t69)))) % 1.74/1.91 (define @t621 () (= @t1 @t199)) % 1.74/1.91 (define @t622 () (= @t1 @t69)) % 1.74/1.91 (define @t623 () (and @t622 @t329)) % 1.74/1.91 (define @t624 () (@var "H" $$unsorted)) % 1.74/1.91 (define @t625 () (= @t177 @t624)) % 1.74/1.91 (define @t626 () (= @t69 @t230)) % 1.74/1.91 (define @t627 () (@list @t177 @t199 @t230)) % 1.74/1.91 (define @t628 () (tptp.in @t11 @t225)) % 1.74/1.91 (define @t629 () (tptp.disjoint @t292 @t11)) % 1.74/1.91 (define @t630 () (not @t22)) % 1.74/1.91 (define @t631 () (tptp.well_ordering @t11)) % 1.74/1.91 (define @t632 () (tptp.in (tptp.ordered_pair @t69 @t11) @t1)) % 1.74/1.91 (define @t633 () (tptp.singleton @t69)) % 1.74/1.91 (define @t634 () (not @t277)) % 1.74/1.91 (define @t635 () (tptp.singleton @t11)) % 1.74/1.91 (define @t636 () (tptp.union @t11)) % 1.74/1.91 (define @t637 () (tptp.in @t1 @t69)) % 1.74/1.91 (define @t638 () (tptp.element @t1 @t484)) % 1.74/1.91 (define @t639 () (tptp.relation_dom_restriction @t69 @t1)) % 1.74/1.91 (define @t640 () (tptp.in @t11 (tptp.relation_dom @t639))) % 1.74/1.91 (define @t641 () (and @t33 @t31 @t41 @t5)) % 1.74/1.91 (define @t642 () (tptp.lower_relstr_subset @t11 @t1)) % 1.74/1.91 (define @t643 () (not @t122)) % 1.74/1.91 (define @t644 () (tptp.strict_net_str @t69 @t1)) % 1.74/1.91 (define @t645 () (tptp.proper_element @t11 @t56)) % 1.74/1.91 (define @t646 () (tptp.proper_element @t11 @t101)) % 1.74/1.91 (define @t647 () (tptp.relation_dom_restriction @t69 @t177)) % 1.74/1.91 (define @t648 () (tptp.unordered_pair @t11 @t69)) % 1.74/1.91 (define @t649 () (tptp.set_union2 @t11 @t69)) % 1.74/1.91 (define @t650 () (tptp.set_intersection2 @t11 @t69)) % 1.74/1.91 (define @t651 () (tptp.set_difference @t11 @t69)) % 1.74/1.91 (define @t652 () (tptp.relation_composition @t177 @t199)) % 1.74/1.91 (define @t653 () (tptp.below_refl @t1 @t11 @t69)) % 1.74/1.91 (define @t654 () (and @t33 @t83 @t81 @t80 @t10 @t158 @t157)) % 1.74/1.91 (define @t655 () (and @t33 @t31 @t5 @t158 @t157)) % 1.74/1.91 (define @t656 () (@var "K" $$unsorted)) % 1.74/1.91 (define @t657 () (@var "J" $$unsorted)) % 1.74/1.91 (define @t658 () (tptp.in @t656 @t657)) % 1.74/1.91 (define @t659 () (@list @t656)) % 1.74/1.91 (define @t660 () (@list @t657)) % 1.74/1.91 (define @t661 () (= @t177 @t199)) % 1.74/1.91 (define @t662 () (@var "I" $$unsorted)) % 1.74/1.91 (define @t663 () (tptp.in @t662 @t624)) % 1.74/1.91 (define @t664 () (@list @t662)) % 1.74/1.91 (define @t665 () (@list @t624)) % 1.74/1.91 (define @t666 () (exists @t665 (and (= @t69 @t624) (tptp.in @t199 @t624) (forall @t664 (=> @t663 (tptp.in (tptp.ordered_pair @t199 @t662) @t11)))))) % 1.74/1.91 (define @t667 () (tptp.in @t228 @t230)) % 1.74/1.91 (define @t668 () (exists @t235 (and @t626 (tptp.in @t177 @t230) (forall @t233 (=> @t667 (tptp.in (tptp.ordered_pair @t177 @t228) @t11)))))) % 1.74/1.91 (define @t669 () (forall @t412 (=> (and @t179 @t668 @t179 @t666) @t661))) % 1.74/1.91 (define @t670 () (and @t148 @t185)) % 1.74/1.91 (define @t671 () (= @t177 @t635)) % 1.74/1.91 (define @t672 () (= @t69 @t635)) % 1.74/1.91 (define @t673 () (forall @t278 (=> (and @t20 @t672 @t20 @t671) @t178))) % 1.74/1.91 (define @t674 () (tptp.subset_complement @t3 @t624)) % 1.74/1.91 (define @t675 () (= @t624 @t177)) % 1.74/1.91 (define @t676 () (tptp.element @t624 @t101)) % 1.74/1.91 (define @t677 () (forall @t665 (=> @t676 (=> @t675 (= @t199 @t674))))) % 1.74/1.91 (define @t678 () (tptp.complements_of_subsets @t3 @t11)) % 1.74/1.91 (define @t679 () (tptp.in @t177 @t678)) % 1.74/1.91 (define @t680 () (tptp.element @t228 @t101)) % 1.74/1.91 (define @t681 () (forall @t233 (=> @t680 (=> (= @t228 @t69) (= @t199 (tptp.subset_complement @t3 @t228)))))) % 1.74/1.91 (define @t682 () (tptp.in @t69 @t678)) % 1.74/1.91 (define @t683 () (tptp.element @t230 @t101)) % 1.74/1.91 (define @t684 () (forall @t235 (=> @t683 (=> (= @t230 @t69) (= @t177 (tptp.subset_complement @t3 @t230)))))) % 1.74/1.91 (define @t685 () (forall @t412 (=> (and @t682 @t684 @t682 @t681) @t661))) % 1.74/1.91 (define @t686 () (and @t17 @t298)) % 1.74/1.91 (define @t687 () (forall @t412 (=> (and @t299 @t684 @t299 @t681) @t661))) % 1.74/1.91 (define @t688 () (tptp.ordinal @t69)) % 1.74/1.91 (define @t689 () (@var "S" $$unsorted)) % 1.74/1.91 (define @t690 () (@var "T" $$unsorted)) % 1.74/1.91 (define @t691 () (@var "R" $$unsorted)) % 1.74/1.91 (define @t692 () (tptp.powerset (tptp.powerset @t177))) % 1.74/1.91 (define @t693 () (@list @t691)) % 1.74/1.91 (define @t694 () (tptp.in @t177 tptp.omega)) % 1.74/1.91 (define @t695 () (tptp.ordinal @t177)) % 1.74/1.91 (define @t696 () (@var "P" $$unsorted)) % 1.74/1.91 (define @t697 () (@var "Q" $$unsorted)) % 1.74/1.91 (define @t698 () (@var "O" $$unsorted)) % 1.74/1.91 (define @t699 () (@list @t697)) % 1.74/1.91 (define @t700 () (@list @t696)) % 1.74/1.91 (define @t701 () (@list @t698)) % 1.74/1.91 (define @t702 () (@var "M" $$unsorted)) % 1.74/1.91 (define @t703 () (@var "N" $$unsorted)) % 1.74/1.91 (define @t704 () (@var "L" $$unsorted)) % 1.74/1.91 (define @t705 () (@list @t703)) % 1.74/1.91 (define @t706 () (tptp.in @t702 @t704)) % 1.74/1.91 (define @t707 () (@list @t702)) % 1.74/1.91 (define @t708 () (@list @t704)) % 1.74/1.91 (define @t709 () (tptp.succ @t177)) % 1.74/1.91 (define @t710 () (=> @t694 (forall @t209 (=> (tptp.element @t199 @t692) (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)))))))))))) % 1.74/1.91 (define @t711 () (tptp.subset @t11 @t69)) % 1.74/1.91 (define @t712 () (tptp.powerset tptp.empty_set)) % 1.74/1.91 (define @t713 () (tptp.apply @t69 @t230)) % 1.74/1.91 (define @t714 () (tptp.in @t230 @t1)) % 1.74/1.91 (define @t715 () (tptp.relation @t177)) % 1.74/1.91 (define @t716 () (and @t185 @t95 @t71)) % 1.74/1.91 (define @t717 () (forall @t659 (=> @t658 (tptp.in (tptp.ordered_pair @t177 @t656) @t11)))) % 1.74/1.91 (define @t718 () (tptp.in @t177 @t657)) % 1.74/1.91 (define @t719 () (tptp.cartesian_product2 @t1 @t69)) % 1.74/1.91 (define @t720 () (= @t199 @t230)) % 1.74/1.91 (define @t721 () (tptp.ordered_pair @t656 @t704)) % 1.74/1.91 (define @t722 () (@list @t656 @t704)) % 1.74/1.91 (define @t723 () (= @t177 @t230)) % 1.74/1.91 (define @t724 () (tptp.in @t657 @t662)) % 1.74/1.91 (define @t725 () (tptp.in @t228 @t1)) % 1.74/1.91 (define @t726 () (tptp.ordered_pair @t228 @t624)) % 1.74/1.91 (define @t727 () (= @t726 @t199)) % 1.74/1.91 (define @t728 () (@list @t228 @t624)) % 1.74/1.91 (define @t729 () (tptp.powerset @t69)) % 1.74/1.91 (define @t730 () (tptp.in @t657 @t11)) % 1.74/1.91 (define @t731 () (tptp.in @t624 @t11)) % 1.74/1.91 (define @t732 () (tptp.element @t624 @t3)) % 1.74/1.91 (define @t733 () (= @t228 @t199)) % 1.74/1.91 (define @t734 () (tptp.element @t69 @t484)) % 1.74/1.91 (define @t735 () (and @t33 @t41 @t5 @t102 @t347 @t734)) % 1.74/1.91 (define @t736 () (tptp.ordered_pair @t657 @t656)) % 1.74/1.91 (define @t737 () (@list @t657 @t656)) % 1.74/1.91 (define @t738 () (= @t199 @t177)) % 1.74/1.91 (define @t739 () (tptp.in @t624 @t1)) % 1.74/1.91 (define @t740 () (= @t69 @t199)) % 1.74/1.91 (define @t741 () (tptp.ordered_pair @t230 @t228)) % 1.74/1.91 (define @t742 () (@list @t230 @t228)) % 1.74/1.91 (define @t743 () (not (and (not (= @t230 tptp.empty_set)) (forall @t233 (not (and @t667 (forall @t665 (=> (and (tptp.in @t624 @t230) (tptp.subset @t228 @t624)) (= @t624 @t228))))))))) % 1.74/1.91 (define @t744 () (tptp.ordinal @t199)) % 1.74/1.91 (define @t745 () (tptp.subset @t11 @t177)) % 1.74/1.91 (define @t746 () (tptp.in @t199 @t101)) % 1.74/1.91 (define @t747 () (= @t230 @t177)) % 1.74/1.91 (define @t748 () (tptp.in (tptp.set_difference @t357 @t177) @t11)) % 1.74/1.91 (define @t749 () (and @t104 @t103 @t298)) % 1.74/1.91 (define @t750 () (tptp.in @t228 @t11)) % 1.74/1.91 (define @t751 () (and @t64 (tptp.element @t11 (tptp.powerset (tptp.powerset @t293))))) % 1.74/1.91 (define @t752 () (= @t177 @t674)) % 1.74/1.91 (define @t753 () (forall @t665 (=> @t676 (=> (= @t624 @t199) @t752)))) % 1.74/1.91 (define @t754 () (tptp.in @t199 @t678)) % 1.74/1.91 (define @t755 () (forall @t701 (=> (tptp.element @t698 @t101) (=> (= @t698 @t702) (= @t703 (tptp.subset_complement @t3 @t698)))))) % 1.74/1.91 (define @t756 () (= (tptp.ordered_pair @t702 @t703) @t199)) % 1.74/1.91 (define @t757 () (@list @t702 @t703)) % 1.74/1.91 (define @t758 () (tptp.cartesian_product2 @t678 @t69)) % 1.74/1.91 (define @t759 () (forall @t708 (=> (tptp.element @t704 @t101) (=> (= @t704 @t657) (= @t656 (tptp.subset_complement @t3 @t704)))))) % 1.74/1.91 (define @t760 () (= @t736 @t230)) % 1.74/1.91 (define @t761 () (tptp.subset_complement @t3 @t662)) % 1.74/1.91 (define @t762 () (tptp.element @t662 @t101)) % 1.74/1.91 (define @t763 () (forall @t664 (=> @t762 (=> (= @t662 @t228) (= @t624 @t761))))) % 1.74/1.91 (define @t764 () (tptp.cartesian_product2 @t11 @t69)) % 1.74/1.91 (define @t765 () (tptp.apply @t69 @t228)) % 1.74/1.91 (define @t766 () (tptp.in (tptp.relation_image @t69 @t199) @t11)) % 1.74/1.91 (define @t767 () (tptp.powerset @t377)) % 1.74/1.91 (define @t768 () (and @t415 @t95 @t71)) % 1.74/1.91 (define @t769 () (tptp.succ @t11)) % 1.74/1.91 (define @t770 () (= @t199 @t228)) % 1.74/1.91 (define @t771 () (= @t741 @t199)) % 1.74/1.91 (define @t772 () (exists @t233 (and (tptp.element @t228 @t3) @t750 (tptp.relstr_set_smaller @t1 @t230 @t228)))) % 1.74/1.91 (define @t773 () (tptp.singleton @t199)) % 1.74/1.91 (define @t774 () (exists @t209 (and @t253 @t738 (tptp.closed_subset @t199 @t1) @t745))) % 1.74/1.91 (define @t775 () (tptp.in @t177 @t101)) % 1.74/1.91 (define @t776 () (forall @t665 (=> @t676 (=> (= @t624 @t230) (= @t228 @t674))))) % 1.74/1.91 (define @t777 () (tptp.in @t199 @t69)) % 1.74/1.91 (define @t778 () (tptp.apply @t11 @t69)) % 1.74/1.91 (define @t779 () (= @t274 @t1)) % 1.74/1.91 (define @t780 () (exists @t27 (and @t185 @t134 @t779 (forall @t140 (=> @t179 (= @t778 @t633)))))) % 1.74/1.91 (define @t781 () (forall @t664 (=> @t762 (=> (= @t662 @t177) (= @t401 @t761))))) % 1.74/1.91 (define @t782 () (forall @t192 (not (forall @t665 (=> @t676 (=> (= @t624 @t69) @t752)))))) % 1.74/1.91 (define @t783 () (tptp.in @t1 tptp.omega)) % 1.74/1.91 (define @t784 () (= @t413 tptp.empty_set)) % 1.74/1.91 (define @t785 () (not (and @t325 @t784))) % 1.74/1.91 (define @t786 () (not @t607)) % 1.74/1.91 (define @t787 () (tptp.relation_rng @t224)) % 1.74/1.91 (define @t788 () (tptp.meet_of_subsets @t1 @t413)) % 1.74/1.91 (define @t789 () (tptp.upper_relstr_subset @t11 @t343)) % 1.74/1.91 (define @t790 () (tptp.the_carrier @t343)) % 1.74/1.91 (define @t791 () (tptp.powerset @t790)) % 1.74/1.91 (define @t792 () (tptp.element @t11 @t791)) % 1.74/1.91 (define @t793 () (forall @t140 (= (tptp.in @t69 @t361) (and @t211 @t255)))) % 1.74/1.91 (define @t794 () (forall @t27 (=> @t214 @t793))) % 1.74/1.91 (define @t795 () (=> @t215 @t794)) % 1.74/1.91 (define @t796 () (forall @t6 @t795)) % 1.74/1.91 (define @t797 () (not @t796)) % 1.74/1.91 (define @t798 () (tptp.union_of_subsets @t1 @t413)) % 1.74/1.91 (define @t799 () (tptp.the_carrier @t398)) % 1.74/1.91 (define @t800 () (forall @t140 (not (and @t348 (not (tptp.are_equipotent @t69 @t11)) @t354)))) % 1.74/1.91 (define @t801 () (forall @t182 (=> (and @t299 (tptp.subset @t177 @t69)) @t202))) % 1.74/1.91 (define @t802 () (tptp.meet_of_subsets @t3 @t11)) % 1.74/1.91 (define @t803 () (tptp.relation_dom_restriction @t69 @t11)) % 1.74/1.91 (define @t804 () (tptp.relation_image @t11 @t1)) % 1.74/1.91 (define @t805 () (tptp.relation_inverse_image @t11 @t1)) % 1.74/1.91 (define @t806 () (tptp.relation_image @t11 @t805)) % 1.74/1.91 (define @t807 () (tptp.set_intersection2 @t274 @t1)) % 1.74/1.91 (define @t808 () (tptp.subset @t1 @t275)) % 1.74/1.91 (define @t809 () (tptp.relation_of2_as_subset @t177 @t69 @t11)) % 1.74/1.91 (define @t810 () (tptp.relation_rng @t177)) % 1.74/1.91 (define @t811 () (tptp.relation_of2_as_subset @t177 @t69 @t1)) % 1.74/1.91 (define @t812 () (and @t40 @t5)) % 1.74/1.91 (define @t813 () (tptp.relation_rng @t411)) % 1.74/1.91 (define @t814 () (tptp.relation_inverse_image @t69 @t11)) % 1.74/1.91 (define @t815 () (tptp.relation_restriction @t69 @t11)) % 1.74/1.91 (define @t816 () (tptp.relation_restriction @t11 @t1)) % 1.74/1.91 (define @t817 () (tptp.relation_dom_restriction @t11 @t1)) % 1.74/1.91 (define @t818 () (tptp.relation_field @t69)) % 1.74/1.91 (define @t819 () (tptp.in @t1 @t818)) % 1.74/1.91 (define @t820 () (tptp.subset @t1 @t69)) % 1.74/1.91 (define @t821 () (tptp.the_carrier @t285)) % 1.74/1.91 (define @t822 () (tptp.element @t69 @t821)) % 1.74/1.91 (define @t823 () (tptp.element @t11 @t821)) % 1.74/1.91 (define @t824 () (tptp.element @t1 @t11)) % 1.74/1.91 (define @t825 () (tptp.relstr_set_smaller @t1 @t69 @t177)) % 1.74/1.91 (define @t826 () (tptp.in @t1 @t377)) % 1.74/1.91 (define @t827 () (tptp.in @t386 @t69)) % 1.74/1.91 (define @t828 () (tptp.relation_field @t816)) % 1.74/1.91 (define @t829 () (tptp.apply @t69 @t1)) % 1.74/1.91 (define @t830 () (tptp.relation_composition @t69 @t11)) % 1.74/1.91 (define @t831 () (tptp.in @t1 (tptp.relation_dom @t830))) % 1.74/1.91 (define @t832 () (tptp.apply @t177 @t69)) % 1.74/1.91 (define @t833 () (and @t237 @t497 (tptp.relation_of2_as_subset @t177 @t1 @t11))) % 1.74/1.91 (define @t834 () (tptp.connected @t11)) % 1.74/1.91 (define @t835 () (tptp.well_ordering @t816)) % 1.74/1.91 (define @t836 () (= @t828 @t1)) % 1.74/1.91 (define @t837 () (tptp.well_orders @t11 @t1)) % 1.74/1.91 (define @t838 () (tptp.cast_to_el_of_LattPOSet @t11 @t69)) % 1.74/1.91 (define @t839 () (tptp.poset_of_lattice @t11)) % 1.74/1.91 (define @t840 () (tptp.cast_to_el_of_lattice @t11 @t69)) % 1.74/1.91 (define @t841 () (tptp.element @t69 (tptp.the_carrier @t839))) % 1.74/1.91 (define @t842 () (and (= @t11 (tptp.join_on_relstr @t1 @t69)) (tptp.ex_sup_of_relstr_set @t1 @t69))) % 1.74/1.91 (define @t843 () (and (tptp.relstr_set_smaller @t1 @t69 @t11) (forall @t192 (=> @t191 (=> @t825 @t340))))) % 1.74/1.91 (define @t844 () (tptp.well_founded_relation @t11)) % 1.74/1.91 (define @t845 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 1.74/1.91 (define @t846 () (and @t179 @t299)) % 1.74/1.91 (define @t847 () (not @t404)) % 1.74/1.91 (define @t848 () (= @t1 @t769)) % 1.74/1.91 (define @t849 () (and @t33 @t40 @t46 @t5)) % 1.74/1.91 (define @t850 () (tptp.subset_complement @t1 @t69)) % 1.74/1.91 (define @t851 () (tptp.disjoint @t11 @t69)) % 1.74/1.91 (define @t852 () (tptp.relation_dom @t411)) % 1.74/1.91 (define @t853 () (and (tptp.closed_subset @t177 @t1) @t745)) % 1.74/1.91 (define @t854 () (tptp.in @t69 @t254)) % 1.74/1.91 (define @t855 () (tptp.element @t11 @t729)) % 1.74/1.91 (define @t856 () (tptp.in @t69 @t167)) % 1.74/1.91 (define @t857 () (= @t254 @t11)) % 1.74/1.91 (define @t858 () (and (tptp.in @t69 @t382) (= @t177 @t778))) % 1.74/1.91 (define @t859 () (tptp.function_inverse @t11)) % 1.74/1.91 (define @t860 () (tptp.related @t11 @t199 @t230)) % 1.74/1.91 (define @t861 () (= @t382 tptp.empty_set)) % 1.74/1.91 (define @t862 () (= @t218 tptp.empty_set)) % 1.74/1.91 (define @t863 () (= (tptp.apply @t639 @t11) (tptp.apply @t69 @t11))) % 1.74/1.91 (define @t864 () (= @t292 @t648)) % 1.74/1.91 (define @t865 () (@var "BOUND_VARIABLE_16706" $$unsorted)) % 1.74/1.91 (define @t866 () (= (tptp.filter_of_net_str @t1 @t865) (tptp.a_2_1_yellow19 @t1 @t865))) % 1.74/1.91 (define @t867 () (not (tptp.net_str @t865 @t1))) % 1.74/1.91 (define @t868 () (tptp.empty_carrier @t865)) % 1.74/1.91 (define @t869 () (not @t17)) % 1.74/1.91 (define @t870 () (or @t868 @t867 @t866)) % 1.74/1.91 (define @t871 () (or @t32 @t869 @t870)) % 1.74/1.91 (define @t872 () (forall (@list @t1 @t865) @t871)) % 1.74/1.91 (define @t873 () (@list @t865)) % 1.74/1.91 (define @t874 () (forall @t873 @t871)) % 1.74/1.91 (define @t875 () (forall @t873 @t870)) % 1.74/1.91 (define @t876 () (or @t32 @t869 @t875)) % 1.74/1.91 (define @t877 () (not @t16)) % 1.74/1.91 (define @t878 () (or @t212 @t877 @t362)) % 1.74/1.91 (define @t879 () (forall @t27 @t878)) % 1.74/1.91 (define @t880 () (or @t32 @t869 @t879)) % 1.74/1.91 (define @t881 () (or @t32 @t869)) % 1.74/1.91 (define @t882 () (not @t215)) % 1.74/1.91 (define @t883 () (or @t212 @t877)) % 1.74/1.91 (define @t884 () (not @t213)) % 1.74/1.91 (define @t885 () (not @t214)) % 1.74/1.91 (define @t886 () (@var "BOUND_VARIABLE_24151" $$unsorted)) % 1.74/1.91 (define @t887 () (@var "BOUND_VARIABLE_24149" $$unsorted)) % 1.74/1.91 (define @t888 () (= (tptp.in @t886 (tptp.filter_of_net_str @t1 @t887)) (and (tptp.is_eventually_in @t1 @t887 @t886) (tptp.element @t886 @t101)))) % 1.74/1.91 (define @t889 () (not (tptp.net_str @t887 @t1))) % 1.74/1.91 (define @t890 () (tptp.empty_carrier @t887)) % 1.74/1.91 (define @t891 () (or @t32 @t869 @t890 @t889 @t888)) % 1.74/1.91 (define @t892 () (@list @t1 @t887 @t886)) % 1.74/1.91 (define @t893 () (forall @t892 @t891)) % 1.74/1.91 (define @t894 () (@quantifiers_skolemize @t893 1)) % 1.74/1.91 (define @t895 () (@quantifiers_skolemize @t893 0)) % 1.74/1.91 (define @t896 () (or @t890 @t889 @t888)) % 1.74/1.91 (define @t897 () (or @t32 @t869 @t896)) % 1.74/1.91 (define @t898 () (forall @t892 @t897)) % 1.74/1.91 (define @t899 () (@list @t887 @t886)) % 1.74/1.91 (define @t900 () (forall @t899 @t897)) % 1.74/1.91 (define @t901 () (forall @t899 @t896)) % 1.74/1.91 (define @t902 () (@var "BOUND_VARIABLE_24135" $$unsorted)) % 1.74/1.91 (define @t903 () (or @t32 @t869 @t901)) % 1.74/1.91 (define @t904 () (= (tptp.in @t902 @t361) (and (tptp.is_eventually_in @t1 @t11 @t902) (tptp.element @t902 @t101)))) % 1.74/1.91 (define @t905 () (or @t212 @t877 @t904)) % 1.74/1.91 (define @t906 () (forall (@list @t11 @t902) @t905)) % 1.74/1.91 (define @t907 () (or @t32 @t869 @t906)) % 1.74/1.91 (define @t908 () (@list @t902)) % 1.74/1.91 (define @t909 () (forall @t908 @t905)) % 1.74/1.91 (define @t910 () (forall @t908 @t904)) % 1.74/1.91 (define @t911 () (or @t212 @t877 @t910)) % 1.74/1.91 (define @t912 () (or @t212 @t877 @t793)) % 1.74/1.91 (define @t913 () (tptp.net_str @t894 @t895)) % 1.74/1.91 (define @t914 () (@quantifiers_skolemize @t893 2)) % 1.74/1.91 (define @t915 () (tptp.element @t914 (tptp.powerset (tptp.the_carrier @t895)))) % 1.74/1.91 (define @t916 () (tptp.is_eventually_in @t895 @t894 @t914)) % 1.74/1.91 (define @t917 () (and @t916 @t915)) % 1.74/1.91 (define @t918 () (tptp.filter_of_net_str @t895 @t894)) % 1.74/1.91 (define @t919 () (tptp.in @t914 @t918)) % 1.74/1.91 (define @t920 () (= @t919 @t917)) % 1.74/1.91 (define @t921 () (not @t913)) % 1.74/1.91 (define @t922 () (tptp.empty_carrier @t894)) % 1.74/1.91 (define @t923 () (tptp.one_sorted_str @t895)) % 1.74/1.91 (define @t924 () (not @t923)) % 1.74/1.91 (define @t925 () (tptp.empty_carrier @t895)) % 1.74/1.91 (define @t926 () (or @t925 @t924 @t922 @t921 @t920)) % 1.74/1.91 (define @t927 () (@list true)) % 1.74/1.91 (define @t928 () (@list @t926)) % 1.74/1.91 (define @t929 () (tptp.a_2_1_yellow19 @t895 @t894)) % 1.74/1.91 (define @t930 () (= @t918 @t929)) % 1.74/1.91 (define @t931 () (or @t925 @t924 @t922 @t921 @t930)) % 1.74/1.91 (define @t932 () (@list true false true false false)) % 1.74/1.91 (define @t933 () (tptp.in @t914 @t929)) % 1.74/1.91 (define @t934 () (and @t919 @t930)) % 1.74/1.91 (define @t935 () (not @t930)) % 1.74/1.91 (define @t936 () (not @t919)) % 1.74/1.91 (define @t937 () (tptp.is_eventually_in @t11 @t69 @t1)) % 1.74/1.91 (define @t938 () (tptp.element @t1 @t610)) % 1.74/1.91 (define @t939 () (= @t614 (and @t938 @t937))) % 1.74/1.91 (define @t940 () (not @t616)) % 1.74/1.91 (define @t941 () (not @t456)) % 1.74/1.91 (define @t942 () (not @t937)) % 1.74/1.91 (define @t943 () (not @t938)) % 1.74/1.91 (define @t944 () (or @t943 @t942)) % 1.74/1.91 (define @t945 () (= @t614 (not @t944))) % 1.74/1.91 (define @t946 () (not @t243)) % 1.74/1.91 (define @t947 () (or @t884 @t941 @t946 @t940)) % 1.74/1.91 (define @t948 () (not (= @t1 @t1))) % 1.74/1.91 (define @t949 () (or @t943 @t948 @t942)) % 1.74/1.91 (define @t950 () (not @t609)) % 1.74/1.91 (define @t951 () (not @t611)) % 1.74/1.91 (define @t952 () (or @t786 @t951 @t786 @t950)) % 1.74/1.91 (define @t953 () (or @t951 @t786 @t950)) % 1.74/1.91 (define @t954 () (forall @t192 (not @t612))) % 1.74/1.91 (define @t955 () (not @t954)) % 1.74/1.91 (define @t956 () (and @t915 @t916)) % 1.74/1.91 (define @t957 () (= @t933 @t956)) % 1.74/1.91 (define @t958 () (or @t925 @t924 @t922 @t921 @t957)) % 1.74/1.91 (define @t959 () (not @t957)) % 1.74/1.91 (define @t960 () (not @t933)) % 1.74/1.91 (define @t961 () (not @t956)) % 1.74/1.91 (define @t962 () (not @t917)) % 1.74/1.91 (define @t963 () (@list false)) % 1.74/1.91 (define @t964 () (@list @t917)) % 1.74/1.91 (define @t965 () (@list false false)) % 1.74/1.91 (define @t966 () (and @t936 @t930)) % 1.74/1.91 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 1.74/1.91 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 1.74/1.91 (assume @p3 (forall @t19 (=> @t18 (=> @t15 (= @t11 (tptp.net_str_of @t1 @t14 @t13 @t12)))))) % 1.74/1.91 (assume @p4 (forall @t19 (=> @t22 @t21))) % 1.74/1.91 (assume @p5 (forall @t19 (=> @t24 (not @t23)))) % 1.74/1.91 (assume @p6 (forall @t6 (=> @t28 (forall @t27 (=> @t26 @t25))))) % 1.74/1.91 (assume @p7 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t34) (and @t33 @t31 @t30 @t29))))) % 1.74/1.91 (assume @p8 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))))) % 1.74/1.91 (assume @p9 (forall @t6 (=> @t45 (forall @t27 (=> @t26 (and @t25 @t44)))))) % 1.74/1.91 (assume @p10 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t29) (and @t33 @t31 @t46))))) % 1.74/1.91 (assume @p11 (forall @t6 (=> @t48 (forall @t27 (=> @t26 (and @t25 @t44 @t47)))))) % 1.74/1.91 (assume @p12 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t46 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))))) % 1.74/1.91 (assume @p13 (forall @t6 (=> @t51 (forall @t27 (=> @t26 (and @t25 @t44 @t50 @t47)))))) % 1.74/1.91 (assume @p14 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t29) (and @t33 @t31 @t40 @t38))))) % 1.74/1.91 (assume @p15 (forall @t6 (=> @t53 (forall @t27 (=> @t26 (and @t25 @t52 @t44 @t50 @t47)))))) % 1.74/1.91 (assume @p16 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t37 @t29) (and @t33 @t31 @t40 @t39 @t37))))) % 1.74/1.91 (assume @p17 (forall @t6 (=> @t54 (and @t28 @t45 @t48 @t51 @t53)))) % 1.74/1.91 (assume @p18 (forall @t6 (=> @t28 (forall @t27 (=> @t57 @t55))))) % 1.74/1.91 (assume @p19 (forall @t6 (=> @t45 (forall @t27 (=> @t57 (and @t55 @t58)))))) % 1.74/1.91 (assume @p20 (forall @t6 (=> @t48 (forall @t27 (=> @t57 (and @t55 @t58 @t59)))))) % 1.74/1.91 (assume @p21 (forall @t6 (=> @t51 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60)))))) % 1.74/1.91 (assume @p22 (forall @t6 (=> @t64 (forall @t27 (=> @t26 (and @t63 @t62 @t61)))))) % 1.74/1.91 (assume @p23 (forall @t6 (=> @t54 @t65))) % 1.74/1.91 (assume @p24 (forall @t6 (=> @t67 @t66))) % 1.74/1.91 (assume @p25 (forall @t6 (=> @t54 @t68))) % 1.74/1.91 (assume @p26 (forall @t75 (=> @t74 (=> (and @t71 @t73) @t72)))) % 1.74/1.91 (assume @p27 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t86) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))))) % 1.74/1.91 (assume @p28 (forall @t6 (=> @t5 (=> @t39 @t33)))) % 1.74/1.91 (assume @p29 (forall @t6 (=> @t10 (=> @t88 @t87)))) % 1.74/1.91 (assume @p30 (forall @t6 (=> @t53 @t51))) % 1.74/1.91 (assume @p31 (forall @t6 (=> @t64 @t91))) % 1.74/1.91 (assume @p32 (forall @t6 (=> (and @t93 (tptp.symmetric @t1) @t94) (and @t93 @t92)))) % 1.74/1.91 (assume @p33 (forall @t6 (=> @t54 @t93))) % 1.74/1.91 (assume @p34 (forall @t75 (=> @t97 @t95))) % 1.74/1.91 (assume @p35 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t100 (and @t99 @t98))))))) % 1.74/1.91 (assume @p36 (forall @t6 (=> (and @t33 @t108 @t5) (forall @t27 (=> @t102 (and @t107 @t106)))))) % 1.74/1.91 (assume @p37 (forall @t6 (=> @t5 (=> @t109 (and @t33 @t39 @t38))))) % 1.74/1.91 (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))))) % 1.74/1.91 (assume @p39 (forall @t6 (=> @t5 (=> @t32 @t110)))) % 1.74/1.91 (assume @p40 (forall @t6 (=> @t53 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60 @t111)))))) % 1.74/1.91 (assume @p41 (forall @t6 (=> (and @t54 @t64) @t113))) % 1.74/1.91 (assume @p42 (forall @t6 (=> @t65 (forall @t27 (=> @t57 @t114))))) % 1.74/1.91 (assume @p43 (forall @t6 (=> @t66 @t67))) % 1.74/1.91 (assume @p44 (forall @t6 (=> @t117 @t116))) % 1.74/1.91 (assume @p45 (forall @t75 (=> @t74 (=> @t120 @t119)))) % 1.74/1.91 (assume @p46 (forall @t6 (=> @t5 (=> @t38 @t33)))) % 1.74/1.91 (assume @p47 (forall @t6 (=> @t10 (=> @t87 @t88)))) % 1.74/1.91 (assume @p48 (forall @t6 (=> @t51 @t48))) % 1.74/1.91 (assume @p49 (forall @t6 (=> @t91 @t64))) % 1.74/1.91 (assume @p50 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (=> @t100 @t121)))))) % 1.74/1.91 (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))))) % 1.74/1.91 (assume @p52 (forall @t6 (=> @t5 (=> @t123 (and @t33 @t31 @t41 @t40 @t34))))) % 1.74/1.91 (assume @p53 (forall @t6 (=> @t5 (=> @t124 @t33)))) % 1.74/1.91 (assume @p54 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t113))) % 1.74/1.91 (assume @p55 (forall @t75 (=> @t74 (=> @t119 @t120)))) % 1.74/1.91 (assume @p56 (forall @t6 (=> @t10 (=> @t126 @t125)))) % 1.74/1.91 (assume @p57 (forall @t6 (=> @t48 @t45))) % 1.74/1.91 (assume @p58 (forall @t6 (=> @t54 @t127))) % 1.74/1.91 (assume @p59 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t100 @t128)))))) % 1.74/1.91 (assume @p60 (forall @t6 (=> @t5 (=> (and @t33 @t122 @t31) (and @t33 @t31 @t129))))) % 1.74/1.91 (assume @p61 (forall @t6 (=> @t5 (=> @t109 (and @t33 @t49))))) % 1.74/1.91 (assume @p62 (forall @t6 (=> @t5 (=> (and @t33 @t31) (and @t33 @t124))))) % 1.74/1.91 (assume @p63 (forall @t19 (=> @t137 (=> (and @t134 @t136 @t135 @t132) (and @t134 @t133 @t132 @t131 @t130))))) % 1.74/1.91 (assume @p64 (forall @t6 (=> @t10 (=> @t125 @t126)))) % 1.74/1.91 (assume @p65 (forall @t6 (=> @t45 @t28))) % 1.74/1.91 (assume @p66 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t128 @t121)))))) % 1.74/1.91 (assume @p67 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t138) (and @t33 @t31 @t30 @t129))))) % 1.74/1.91 (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))))) % 1.74/1.91 (assume @p69 (forall @t6 (=> @t5 (=> @t49 @t139)))) % 1.74/1.91 (assume @p70 (forall @t19 (=> @t141 (forall @t140 (=> @t74 (=> @t72 (and @t71 @t73 @t70))))))) % 1.74/1.91 (assume @p71 (forall @t6 (=> @t10 (=> @t145 (and @t33 @t143 @t78 @t77 @t76 @t142))))) % 1.74/1.91 (assume @p72 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> (and @t98 @t121) (and @t121 @t128))))))) % 1.74/1.91 (assume @p73 (forall @t6 (=> @t5 (=> @t123 (and @t33 @t31 @t108))))) % 1.74/1.91 (assume @p74 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t31 @t41 @t40 @t39 @t38))))) % 1.74/1.91 (assume @p75 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t39 @t46 @t30 @t129) (and @t33 @t31 @t41 @t40 @t39 @t46 @t138))))) % 1.74/1.91 (assume @p76 (forall @t6 (=> @t5 (=> @t139 @t49)))) % 1.74/1.91 (assume @p77 (forall @t19 (=> @t149 (forall @t140 (=> @t74 (=> @t72 (and @t71 (not @t147) @t73 @t70))))))) % 1.74/1.91 (assume @p78 (forall @t6 (=> @t10 (=> (and @t33 @t143 @t76 @t142) @t145)))) % 1.74/1.91 (assume @p79 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> (and @t99 @t128) (and @t100 @t99 @t98 @t55 @t58 @t59 @t60 @t111 @t121 @t128))))))) % 1.74/1.91 (assume @p80 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t36))))) % 1.74/1.91 (assume @p81 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t34 @t108) (and @t33 @t31 @t41 @t40 @t108 @t129))))) % 1.74/1.91 (assume @p82 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t143) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t150))))) % 1.74/1.91 (assume @p83 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t37))))) % 1.74/1.91 (assume @p84 (forall @t6 (=> @t154 (forall @t27 (=> @t153 (=> @t151 (and @t152 @t151))))))) % 1.74/1.91 (assume @p85 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t155))))) % 1.74/1.91 (assume @p86 (forall @t6 (=> @t5 (=> (and @t31 @t39 @t30) (and @t33 @t31 @t39 @t37))))) % 1.74/1.91 (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))))) % 1.74/1.91 (assume @p88 (forall @t75 (=> @t159 (= @t156 (tptp.unordered_pair_as_carrier_subset @t1 @t69 @t11))))) % 1.74/1.91 (assume @p89 (forall @t19 (= @t160 (tptp.unordered_pair @t11 @t1)))) % 1.74/1.91 (assume @p90 (forall @t19 (= @t162 @t161))) % 1.74/1.91 (assume @p91 (forall @t75 (=> @t165 (= @t163 (tptp.join_commut @t1 @t69 @t11))))) % 1.74/1.91 (assume @p92 (forall @t19 (= @t167 @t166))) % 1.74/1.91 (assume @p93 (forall @t75 (=> @t170 (= @t168 (tptp.meet_commut @t1 @t69 @t11))))) % 1.74/1.91 (assume @p94 (forall @t75 (=> @t173 (= @t171 (tptp.subset_union2 @t1 @t69 @t11))))) % 1.74/1.91 (assume @p95 (forall @t75 (=> @t173 (= @t174 (tptp.subset_intersection2 @t1 @t69 @t11))))) % 1.74/1.91 (assume @p96 (forall @t19 (=> @t176 (or @t175 (tptp.ordinal_subset @t11 @t1))))) % 1.74/1.91 (assume @p97 (forall @t19 (=> @t185 (= @t184 (forall @t182 (= @t181 (and @t179 @t178))))))) % 1.74/1.91 (assume @p98 (forall @t19 (= @t188 (and @t187 @t186)))) % 1.74/1.91 (assume @p99 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (=> @t196 (= (= @t69 @t195) (and @t194 @t193)))))))) % 1.74/1.91 (assume @p100 (forall @t6 (=> @t17 (= @t198 (tptp.identity_as_relation_of @t3))))) % 1.74/1.91 (assume @p101 (forall @t6 (=> @t93 (forall @t197 (=> @t95 (= (= @t69 @t205) (forall @t204 (= @t203 (and @t202 @t201))))))))) % 1.74/1.91 (assume @p102 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (= @t211 (exists @t192 (and @t210 (forall @t209 (=> @t208 (=> @t207 @t206)))))))))))) % 1.74/1.91 (assume @p103 (forall @t6 (=> @t5 (= @t216 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 1.74/1.91 (assume @p104 (forall @t6 (=> @t222 (forall @t197 (= @t221 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t218) @t217 (= @t177 (tptp.apply @t1 @t199))))))))))) % 1.74/1.91 (assume @p105 (forall @t19 (=> @t185 (forall @t140 (=> @t95 (= (= @t69 @t224) (forall @t204 (= @t203 (and @t223 (tptp.in @t200 @t11)))))))))) % 1.74/1.91 (assume @p106 (forall @t6 (=> @t93 (= @t226 (tptp.is_antisymmetric_in @t1 @t225))))) % 1.74/1.91 (assume @p107 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (= @t227 (forall @t192 (=> @t210 (exists @t209 (and @t208 @t207 @t206))))))))))) % 1.74/1.91 (assume @p108 (forall @t6 (=> @t215 (forall @t27 (=> @t246 (forall @t140 (=> @t244 (= @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))))))))))))))))))) % 1.74/1.91 (assume @p109 (forall @t6 (=> @t222 (forall @t197 (= @t249 (forall @t192 (= @t219 (and @t248 (tptp.in @t247 @t11))))))))) % 1.74/1.91 (assume @p110 (forall @t6 (=> @t252 (= @t78 (exists @t27 (and @t158 @t251)))))) % 1.74/1.91 (assume @p111 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (forall @t140 (=> @t255 (= (= @t69 @t254) (forall @t192 (=> (tptp.in @t177 @t3) (= @t219 (forall @t209 (=> @t253 (not (and (tptp.open_subset @t199 @t1) (tptp.in @t177 @t199) (tptp.disjoint @t11 @t199)))))))))))))))) % 1.74/1.91 (assume @p112 (forall @t6 (=> @t93 (forall @t197 (= @t221 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t256 @t1) @t217))))))))) % 1.74/1.91 (assume @p113 (forall @t6 (=> @t5 (forall @t27 (=> @t257 (= @t153 (and (tptp.subset @t14 @t3) (tptp.subset @t13 @t2)))))))) % 1.74/1.91 (assume @p114 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t182 (=> (and @t261 (tptp.subnetstr @t177 @t1 @t11)) (= @t260 (and (tptp.full_subrelstr @t177 @t11) (tptp.subrelstr @t177 @t11) (= @t258 (tptp.function_invverse_img_as_carrier_subset @t11 @t1 @t12 @t69))))))))))) % 1.74/1.91 (assume @p115 (forall @t6 (=> @t93 (forall @t197 (= @t249 (forall @t192 (= @t219 (exists @t209 (and @t201 @t217))))))))) % 1.74/1.91 (assume @p116 (forall @t6 (=> @t93 (= @t262 (tptp.is_connected_in @t1 @t225))))) % 1.74/1.91 (assume @p117 (forall @t6 (=> @t5 (forall @t27 (=> @t153 (= @t151 (= @t13 (tptp.relation_restriction_as_relation_of @t2 @t14)))))))) % 1.74/1.91 (assume @p118 (forall @t6 (=> @t264 (forall @t27 (=> @t158 (forall @t140 (= @t263 (forall @t192 (=> @t191 (=> @t219 (tptp.below @t1 @t11 @t177))))))))))) % 1.74/1.91 (assume @p119 (forall @t6 (=> @t252 (=> @t78 (forall @t27 (=> @t158 (= (= @t11 @t265) @t251))))))) % 1.74/1.91 (assume @p120 (forall @t6 (=> @t93 (= @t94 (tptp.is_transitive_in @t1 @t225))))) % 1.74/1.91 (assume @p121 (forall @t6 (=> @t264 (forall @t27 (=> @t158 (forall @t140 (= (tptp.latt_element_smaller @t1 @t11 @t69) (forall @t192 (=> @t191 (=> @t219 (tptp.below @t1 @t177 @t11))))))))))) % 1.74/1.91 (assume @p122 (forall @t6 (=> @t267 (forall @t27 (=> @t246 (forall @t140 (=> @t255 (= (= @t69 @t266) (forall @t192 (=> @t191 (= @t219 (forall @t209 (=> (tptp.point_neighbourhood @t199 @t1 @t177) (tptp.is_eventually_in @t1 @t11 @t199)))))))))))))) % 1.74/1.91 (assume @p123 (forall @t6 (=> @t222 (forall @t197 (= (tptp.apply_binary @t1 @t11 @t69) (tptp.apply @t1 @t268)))))) % 1.74/1.91 (assume @p124 (forall @t6 (=> @t267 (forall @t27 (=> @t158 (forall @t140 (=> @t255 (= @t270 (tptp.in @t11 @t269))))))))) % 1.74/1.91 (assume @p125 (forall @t273 (= (= @t177 (tptp.unordered_triple @t1 @t11 @t69)) (forall @t209 (= @t272 (not (and (not (= @t199 @t1)) (not (= @t199 @t11)) (not @t271)))))))) % 1.74/1.91 (assume @p126 (forall @t6 (= @t65 (exists @t27 (and @t185 @t134 (= @t275 @t1) (tptp.in @t274 tptp.omega)))))) % 1.74/1.91 (assume @p127 (forall @t6 (= @t68 (forall @t278 (=> (and @t277 @t276) @t178))))) % 1.74/1.91 (assume @p128 (forall @t75 (=> @t283 (and (=> (=> @t281 @t280) (= @t70 (= @t1 @t282))) (=> @t281 (or @t280 (= @t70 @t279))))))) % 1.74/1.91 (assume @p129 (forall @t19 (=> (and (tptp.strict_latt_str @t11) @t286) (= (= @t11 @t285) (and (= @t14 @t56) (forall @t140 (=> @t172 (forall @t192 (=> @t284 (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)))))))))))) % 1.74/1.91 (assume @p130 (forall @t6 (=> @t288 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t287 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t69))))))))) % 1.74/1.91 (assume @p131 (forall @t6 (=> @t291 (forall @t27 (= (= @t11 (tptp.pair_first @t1)) (forall @t182 (=> @t290 @t289))))))) % 1.74/1.91 (assume @p132 (forall @t6 (= @t293 (tptp.set_union2 @t1 @t292)))) % 1.74/1.91 (assume @p133 (forall @t6 (=> @t103 (= @t104 (and (tptp.in @t3 @t294) (forall @t27 (=> @t298 (=> (tptp.subset @t11 @t294) (tptp.in @t296 @t294)))) (forall @t27 (=> @t102 (forall @t140 (=> @t255 (=> (and @t295 (tptp.in @t69 @t294)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t69) @t294))))))))))) % 1.74/1.91 (assume @p134 (forall @t6 (= @t93 (forall @t27 (not (and @t20 (forall @t182 (not (= @t11 @t180))))))))) % 1.74/1.91 (assume @p135 (forall @t6 (=> @t93 (forall @t27 (= @t300 (forall @t140 (=> @t299 (tptp.in (tptp.ordered_pair @t69 @t69) @t1)))))))) % 1.74/1.91 (assume @p136 (forall @t75 (= @t74 (tptp.subset @t69 @t96)))) % 1.74/1.91 (assume @p137 (forall @t19 (and (=> @t304 (= @t301 (forall @t140 (= @t299 (forall @t192 (=> @t303 @t302)))))) (=> @t280 (= @t301 @t281))))) % 1.74/1.91 (assume @p138 (forall @t6 (=> @t17 (= @t32 @t305)))) % 1.74/1.91 (assume @p139 (forall @t19 (= (= @t11 @t292) (forall @t140 (= @t299 (= @t69 @t1)))))) % 1.74/1.91 (assume @p140 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t307 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t306)))))))) % 1.74/1.91 (assume @p141 (forall @t6 (=> @t103 (forall @t27 (=> @t298 (= @t309 (forall @t140 (=> @t255 (=> @t299 @t308))))))))) % 1.74/1.91 (assume @p142 (forall @t6 (=> @t5 (forall @t27 (=> @t102 (= @t107 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (not (and @t299 @t202 (forall @t209 (=> @t311 (not (and @t217 (tptp.related @t1 @t69 @t199) @t310)))))))))))))))) % 1.74/1.91 (assume @p143 (forall @t6 (=> @t93 (forall @t197 (= (= @t69 (tptp.fiber @t1 @t11)) (forall @t192 (= @t219 (and (not @t312) (tptp.in (tptp.ordered_pair @t177 @t11) @t1))))))))) % 1.74/1.91 (assume @p144 (forall @t19 (=> @t185 (= (= @t11 @t315) (and (= @t314 @t1) (forall @t182 (=> (and @t179 @t303) (= @t181 @t313)))))))) % 1.74/1.91 (assume @p145 (forall @t6 (= @t280 (forall @t27 @t21)))) % 1.74/1.91 (assume @p146 (forall @t6 (=> @t267 (forall @t27 (=> @t158 (= @t316 (tptp.a_2_0_yellow19 @t1 @t11))))))) % 1.74/1.91 (assume @p147 (forall @t6 (= @t318 (tptp.rel_str_of @t1 @t317)))) % 1.74/1.91 (assume @p148 (forall @t19 (= (= @t11 @t56) (forall @t140 (= @t299 (tptp.subset @t69 @t1)))))) % 1.74/1.91 (assume @p149 (forall @t6 (=> @t5 (forall @t27 (=> @t102 (= @t320 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (=> (and @t299 @t319) @t202))))))))))) % 1.74/1.91 (assume @p150 (forall @t6 (=> @t264 (=> @t322 (forall @t197 (=> @t157 (= (= @t69 @t321) (and (tptp.latt_element_smaller @t1 @t69 @t11) (forall @t192 (=> @t191 (=> (tptp.latt_element_smaller @t1 @t177 @t11) (tptp.below @t1 @t69 @t177)))))))))))) % 1.74/1.91 (assume @p151 (forall @t6 (=> @t264 (forall @t27 (= @t323 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 1.74/1.91 (assume @p152 (forall @t6 (= (tptp.centered @t1) (and @t304 (forall @t27 (not (and @t325 @t186 @t114 (= @t324 tptp.empty_set)))))))) % 1.74/1.91 (assume @p153 (forall @t6 (=> @t328 (= @t327 (tptp.rel_str_of @t3 @t326))))) % 1.74/1.91 (assume @p154 (forall @t6 (=> @t252 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t250 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t69))))))))) % 1.74/1.91 (assume @p155 (forall @t6 (=> @t291 (forall @t27 (= (= @t11 (tptp.pair_second @t1)) (forall @t182 (=> @t290 @t329))))))) % 1.74/1.91 (assume @p156 (forall @t6 (= @t90 (forall @t27 (=> @t20 @t186))))) % 1.74/1.91 (assume @p157 (forall @t6 (=> @t17 (= @t330 tptp.empty_set)))) % 1.74/1.91 (assume @p158 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= @t188 (forall @t182 (= @t331 @t181)))))))) % 1.74/1.91 (assume @p159 (forall @t19 (and (=> @t148 (= @t26 @t20)) (=> @t54 (= @t26 @t100))))) % 1.74/1.91 (assume @p160 (forall @t75 (= (= @t69 @t160) (forall @t192 (= @t219 (or @t332 @t312)))))) % 1.74/1.91 (assume @p161 (forall @t19 (=> @t26 (= (tptp.proper_element @t11 @t1) (not @t334))))) % 1.74/1.91 (assume @p162 (forall @t6 (=> @t103 (forall @t27 (=> @t298 (= @t336 @t335)))))) % 1.74/1.91 (assume @p163 (forall @t6 (=> @t93 (= @t337 (forall @t27 (not (and (tptp.subset @t11 @t225) @t325 (forall @t140 (not (and @t299 (tptp.disjoint (tptp.fiber @t1 @t69) @t11))))))))))) % 1.74/1.91 (assume @p164 (forall @t75 (= (= @t69 @t162) (forall @t192 (= @t219 (or @t303 @t202)))))) % 1.74/1.91 (assume @p165 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t255 (= @t339 (exists @t192 (and @t210 (= @t69 (tptp.relation_rng_as_subset (tptp.the_carrier @t338) @t3 (tptp.the_mapping @t1 @t338))))))))))))) % 1.74/1.91 (assume @p166 (forall @t6 (=> @t5 (= @t41 @t342)))) % 1.74/1.91 (assume @p167 (forall @t6 (= @t343 (tptp.poset_of_lattice @t285)))) % 1.74/1.91 (assume @p168 (forall @t75 (= (= @t69 @t96) (forall @t192 (= @t219 (exists @t346 (and @t223 @t345 (= @t177 @t344)))))))) % 1.74/1.91 (assume @p169 (forall @t6 (=> @t103 (= @t351 (forall @t27 (=> @t298 (not (and @t350 @t309 (forall @t140 (=> @t349 (not (and @t348 (tptp.is_a_cover_of_carrier @t1 @t69) @t347)))))))))))) % 1.74/1.91 (assume @p170 (forall @t6 (=> @t328 (forall @t27 (=> @t158 (= @t352 @t11)))))) % 1.74/1.91 (assume @p171 (forall @t6 (=> @t288 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t353 (= @t287 @t69))))))))) % 1.74/1.91 (assume @p172 (forall @t6 (= @t89 (forall @t197 (not (and @t20 @t179 (not @t356) @t355 @t354)))))) % 1.74/1.91 (assume @p173 (forall @t6 (=> @t17 (= @t357 @t3)))) % 1.74/1.91 (assume @p174 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= @t187 (forall @t182 (=> @t331 @t181)))))))) % 1.74/1.91 (assume @p175 (forall @t19 (= @t187 @t358))) % 1.74/1.91 (assume @p176 (forall @t6 (=> @t93 (forall @t27 (= @t360 (forall @t140 (not (and @t348 @t359 (forall @t192 (not (and @t219 (tptp.disjoint (tptp.fiber @t1 @t177) @t69)))))))))))) % 1.74/1.91 (assume @p177 (forall @t75 (= (= @t69 @t167) (forall @t192 (= @t219 (and @t303 @t202)))))) % 1.74/1.91 (assume @p178 @t365) % 1.74/1.91 (assume @p179 (forall @t6 (=> @t222 (forall @t197 (and (=> @t368 (= @t367 @t277)) (=> (not @t368) (= @t367 @t279))))))) % 1.74/1.91 (assume @p180 (forall @t6 (=> @t328 (forall @t27 (=> @t371 (= @t369 @t11)))))) % 1.74/1.91 (assume @p181 (forall @t6 (= @t64 @t91))) % 1.74/1.91 (assume @p182 (forall @t6 (=> @t93 (forall @t27 (= (= @t11 @t218) (forall @t140 (= @t299 (exists @t192 @t331)))))))) % 1.74/1.91 (assume @p183 (forall @t6 (=> @t93 (forall @t27 (= @t373 (forall @t182 (=> (and @t299 @t202 @t331 @t372) @t178))))))) % 1.74/1.91 (assume @p184 (forall @t6 (= @t374 @t1))) % 1.74/1.91 (assume @p185 (forall @t19 (= @t334 (forall @t140 (= @t299 (exists @t192 (and @t302 @t303))))))) % 1.74/1.91 (assume @p186 (forall @t6 (=> @t93 (= @t375 (and @t92 @t94 @t226 @t262 @t337))))) % 1.74/1.91 (assume @p187 (forall @t19 (= @t379 (exists @t140 (and @t95 @t71 @t118 @t378 (= @t376 @t11)))))) % 1.74/1.91 (assume @p188 (forall @t75 (= (= @t69 @t380) (forall @t192 (= @t219 (and @t303 (not @t202))))))) % 1.74/1.91 (assume @p189 (forall @t6 (=> @t5 (= @t46 (exists @t27 (and @t158 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 1.74/1.91 (assume @p190 (forall @t6 (=> @t222 (forall @t27 (= @t383 (forall @t140 (= @t299 (exists @t192 @t381)))))))) % 1.74/1.91 (assume @p191 (forall @t6 (=> @t5 (= @t41 (tptp.is_transitive_in @t2 @t3))))) % 1.74/1.91 (assume @p192 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t384 @t64 (forall @t27 (=> @t61 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t187))))))) % 1.74/1.91 (assume @p193 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t99 @t295)))))) % 1.74/1.91 (assume @p194 (forall @t6 (=> @t93 (forall @t27 (= @t383 (forall @t140 (= @t299 (exists @t192 @t372)))))))) % 1.74/1.91 (assume @p195 (forall @t19 (=> @t57 (= @t385 @t380)))) % 1.74/1.91 (assume @p196 (forall @t19 (= @t386 (tptp.unordered_pair @t160 @t292)))) % 1.74/1.91 (assume @p197 (forall @t6 (=> @t105 (forall @t197 (= (tptp.is_a_convergence_point_of_set @t1 @t11 @t69) (forall @t192 (=> @t387 (=> (and (tptp.open_subset @t177 @t1) @t302) @t202)))))))) % 1.74/1.91 (assume @p198 (forall @t6 (=> @t93 (forall @t27 (= (tptp.well_orders @t1 @t11) (and @t300 @t389 @t373 @t388 @t360)))))) % 1.74/1.91 (assume @p199 (forall @t6 (=> @t391 (= @t390 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (exists @t192 (and @t191 @t340 @t319)))))))))) % 1.74/1.91 (assume @p200 (forall @t6 (=> @t5 (= @t40 (tptp.is_antisymmetric_in @t2 @t3))))) % 1.74/1.91 (assume @p201 (forall @t6 (= @t384 (= @t1 @t333)))) % 1.74/1.91 (assume @p202 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t98 (tptp.open_subset @t392 @t1))))))) % 1.74/1.91 (assume @p203 (forall @t6 (=> @t93 (= @t225 (tptp.set_union2 @t218 @t382))))) % 1.74/1.91 (assume @p204 (forall @t6 (=> @t93 (forall @t27 (= @t388 (forall @t182 (not (and @t299 @t202 (not @t178) (not @t331) (not @t372))))))))) % 1.74/1.91 (assume @p205 (forall @t6 (=> @t93 (forall @t27 (= @t394 (tptp.set_intersection2 @t1 @t393)))))) % 1.74/1.91 (assume @p206 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= (= @t11 @t395) (forall @t182 (= @t181 @t372)))))))) % 1.74/1.91 (assume @p207 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t399 (forall @t192 (=> (and @t261 (tptp.net_str @t177 @t1)) (= (= @t177 @t398) (and (forall @t209 (= (tptp.in @t199 @t258) (exists @t235 (and @t397 @t396 (tptp.related @t11 @t69 @t230))))) (= (tptp.the_InternalRel @t177) (tptp.relation_restriction_as_relation_of @t13 @t258)) (= (tptp.the_mapping @t1 @t177) (tptp.partfun_dom_restriction @t14 @t3 @t12 @t258))))))))))))) % 1.74/1.91 (assume @p208 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t403 (= @t402 (and (= @t377 @t225) (= @t376 @t314) @t118 (forall @t204 (= @t201 (and (tptp.in @t177 @t225) (tptp.in @t199 @t225) (tptp.in (tptp.ordered_pair @t401 @t400) @t11))))))))))))) % 1.74/1.91 (assume @p209 (forall @t19 (= @t404 (= @t167 tptp.empty_set)))) % 1.74/1.91 (assume @p210 (forall @t6 (=> @t5 (forall @t27 (= @t409 (exists @t140 (and @t157 @t408 @t407 (forall @t192 (=> @t191 (=> (and @t406 (forall @t209 (=> @t311 (=> (tptp.relstr_set_smaller @t1 @t11 @t199) @t310)))) @t405)))))))))) % 1.74/1.91 (assume @p211 (forall @t6 (=> @t328 (= @t410 (tptp.a_1_0_filter_1 @t1))))) % 1.74/1.91 (assume @p212 (forall @t6 (=> @t222 (= @t115 (forall @t197 (=> (and @t368 (tptp.in @t69 @t218) (= @t366 (tptp.apply @t1 @t69))) @t289)))))) % 1.74/1.91 (assume @p213 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (= @t194 (forall @t192 (=> @t191 (=> @t202 @t319))))))))) % 1.74/1.91 (assume @p214 (forall @t6 (=> @t264 (= @t81 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= (tptp.join @t1 @t250 @t69) @t69))))))))) % 1.74/1.91 (assume @p215 (forall @t6 (=> @t17 (forall @t27 (=> @t298 (= @t350 (= @t357 @t296))))))) % 1.74/1.91 (assume @p216 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t95 (= (= @t69 @t411) (forall @t204 (= @t203 (exists @t235 (and (tptp.in (tptp.ordered_pair @t177 @t230) @t1) (tptp.in (tptp.ordered_pair @t230 @t199) @t11))))))))))))) % 1.74/1.91 (assume @p217 (forall @t6 (=> @t93 (forall @t27 (= @t389 (forall @t412 (=> (and @t299 @t202 @t217 @t331 @t201) (tptp.in (tptp.ordered_pair @t69 @t199) @t1)))))))) % 1.74/1.91 (assume @p218 (forall @t19 (=> @t415 (forall @t140 (=> (tptp.element @t69 @t414) (= (= @t69 @t413) (forall @t192 (=> @t284 (= @t219 (tptp.in (tptp.subset_complement @t1 @t177) @t11)))))))))) % 1.74/1.91 (assume @p219 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t399 (= @t416 (tptp.apply_on_structs @t11 @t1 @t12 @t69))))))))) % 1.74/1.91 (assume @p220 (forall @t19 (= @t24 (and @t187 @t417)))) % 1.74/1.91 (assume @p221 (forall @t6 (=> @t5 (forall @t27 (= @t196 (exists @t140 (and @t157 @t194 @t193 (forall @t192 (=> @t191 (=> (and @t190 (forall @t209 (=> @t311 (=> (tptp.relstr_element_smaller @t1 @t11 @t199) (tptp.related @t1 @t199 @t177))))) @t405)))))))))) % 1.74/1.91 (assume @p222 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t239 (= @t419 (and @t418 (= @t236 (tptp.relation_dom_restr_as_relation_of @t14 @t3 @t12 @t229))))))))))) % 1.74/1.91 (assume @p223 (forall @t6 (=> @t222 (=> @t115 (= @t420 @t395))))) % 1.74/1.91 (assume @p224 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (= @t408 (forall @t192 (=> @t191 (=> @t202 @t189))))))))) % 1.74/1.91 (assume @p225 (forall @t6 (=> @t5 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t341 (tptp.in @t268 @t2))))))))) % 1.74/1.91 (assume @p226 (forall @t6 (=> @t93 (= @t92 (tptp.is_reflexive_in @t1 @t225))))) % 1.74/1.91 (assume @p227 (forall @t6 (=> @t267 (forall @t27 (=> @t214 (forall @t140 (=> @t157 (= @t423 (forall @t192 (=> @t422 @t421)))))))))) % 1.74/1.91 (assume @p228 (forall @t6 (=> @t5 (forall @t197 (=> @t157 (=> @t409 (= (= @t69 @t424) (and @t408 @t407)))))))) % 1.74/1.91 (assume @p229 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t419 (= @t425 (and (tptp.full_subrelstr @t69 @t11) @t418))))))))) % 1.74/1.91 (assume @p230 (forall @t19 (=> @t137 (and @t427 (tptp.rel_str @t426))))) % 1.74/1.91 (assume @p231 (forall @t273 (=> @t433 (and @t429 (tptp.net_str @t428 @t1))))) % 1.74/1.91 (assume @p232 (forall @t75 (=> @t441 (and @t435 (tptp.latt_str @t434))))) % 1.74/1.91 (assume @p233 (forall @t273 (=> @t445 (tptp.element @t443 (tptp.the_carrier @t442))))) % 1.74/1.91 (assume @p234 true) % 1.74/1.91 (assume @p235 (forall @t19 (=> (and @t33 @t104 @t103 @t213 @t152 @t245 @t16) (tptp.element @t266 @t101)))) % 1.74/1.91 (assume @p236 (forall @t19 (=> @t264 (tptp.element @t321 @t3)))) % 1.74/1.91 (assume @p237 (forall @t19 (=> @t264 (tptp.element @t323 @t3)))) % 1.74/1.91 (assume @p238 (forall @t273 (=> @t448 (tptp.element @t446 @t96)))) % 1.74/1.91 (assume @p239 (forall @t6 (and @t449 (tptp.latt_str @t285)))) % 1.74/1.91 (assume @p240 (forall @t75 (=> (and @t33 @t164 @t158 @t157) (tptp.element @t287 @t3)))) % 1.74/1.91 (assume @p241 (forall @t6 (tptp.element @t450 @t414))) % 1.74/1.91 (assume @p242 (forall @t6 (=> @t17 (tptp.element @t330 @t101)))) % 1.74/1.91 (assume @p243 (forall @t19 (=> @t93 (tptp.relation_of2_as_subset @t451 @t11 @t11)))) % 1.74/1.91 (assume @p244 (forall @t19 (=> @t452 (tptp.element @t307 @t101)))) % 1.74/1.91 (assume @p245 (forall @t273 (=> @t457 (tptp.element @t453 @t14)))) % 1.74/1.91 (assume @p246 (forall @t6 (tptp.relation @t315))) % 1.74/1.91 (assume @p247 (forall @t19 (=> @t460 (tptp.element @t316 @t459)))) % 1.74/1.91 (assume @p248 (forall @t19 (=> @t5 (tptp.element @t424 @t3)))) % 1.74/1.91 (assume @p249 (forall @t6 (and (tptp.reflexive @t317) (tptp.antisymmetric @t317) (tptp.transitive @t317) (tptp.v1_partfun1 @t317 @t1 @t1) (tptp.relation_of2_as_subset @t317 @t1 @t1)))) % 1.74/1.91 (assume @p250 (forall @t463 (=> @t462 (tptp.element @t461 @t69)))) % 1.74/1.91 (assume @p251 (forall @t6 (=> @t222 (and (tptp.relation @t420) (tptp.function @t420))))) % 1.74/1.91 (assume @p252 (forall @t6 (=> @t328 (and (tptp.reflexive @t326) (tptp.antisymmetric @t326) (tptp.transitive @t326) (tptp.v1_partfun1 @t326 @t3 @t3) (tptp.relation_of2_as_subset @t326 @t3 @t3))))) % 1.74/1.91 (assume @p253 (forall @t75 (=> (and @t33 @t169 @t158 @t157) (tptp.element @t250 @t3)))) % 1.74/1.91 (assume @p254 (forall @t273 (=> @t465 (and (tptp.function @t464) (tptp.relation_of2_as_subset @t464 @t1 @t11))))) % 1.74/1.91 (assume @p255 (forall @t6 (=> @t17 (tptp.element @t357 @t101)))) % 1.74/1.91 (assume @p256 (forall @t75 (=> @t159 (tptp.element @t156 @t101)))) % 1.74/1.91 (assume @p257 (forall @t6 (tptp.element @t374 @t56))) % 1.74/1.91 (assume @p258 (forall @t19 (=> @t93 (tptp.relation @t394)))) % 1.74/1.91 (assume @p259 (forall @t19 (=> @t466 (tptp.element @t361 @t459)))) % 1.74/1.91 (assume @p260 (forall @t19 (=> @t5 (tptp.element @t195 @t3)))) % 1.74/1.91 (assume @p261 (forall @t6 (and @t467 (tptp.rel_str @t318)))) % 1.74/1.91 (assume @p262 (forall @t6 (=> @t328 (and @t471 @t470 @t469 @t468 (tptp.rel_str @t327))))) % 1.74/1.91 (assume @p263 (forall @t75 (=> @t165 (tptp.element @t163 @t3)))) % 1.74/1.91 (assume @p264 (forall @t19 (=> @t57 (tptp.element @t385 @t56)))) % 1.74/1.91 (assume @p265 (forall @t75 (=> @t472 (tptp.element @t416 @t3)))) % 1.74/1.91 (assume @p266 (forall @t6 (=> @t5 (tptp.element @t216 @t3)))) % 1.74/1.91 (assume @p267 (forall @t6 (and @t473 (tptp.rel_str @t343)))) % 1.74/1.91 (assume @p268 (forall @t273 (=> @t478 (tptp.element @t474 @t14)))) % 1.74/1.91 (assume @p269 (forall @t19 (=> (and @t33 @t79 @t10 @t158) (tptp.element @t352 @t370)))) % 1.74/1.91 (assume @p270 (forall @t75 (=> @t170 (tptp.element @t168 @t3)))) % 1.74/1.91 (assume @p271 (forall @t6 (=> @t93 @t479))) % 1.74/1.91 (assume @p272 (forall @t75 (=> @t74 (tptp.element @t282 @t56)))) % 1.74/1.91 (assume @p273 (forall @t75 (=> @t173 (tptp.element @t171 @t56)))) % 1.74/1.91 (assume @p274 (forall @t19 (=> (and @t33 @t79 @t10 @t371) (tptp.element @t369 @t3)))) % 1.74/1.91 (assume @p275 (forall @t6 (=> @t252 (tptp.element @t265 @t3)))) % 1.74/1.91 (assume @p276 (forall @t273 (=> @t481 (tptp.element @t480 @t101)))) % 1.74/1.91 (assume @p277 (forall @t19 (=> @t483 @t482))) % 1.74/1.91 (assume @p278 (forall @t75 (=> @t74 (tptp.element @t485 @t484)))) % 1.74/1.91 (assume @p279 (forall @t19 (=> @t415 (tptp.element @t486 @t56)))) % 1.74/1.91 (assume @p280 (forall @t75 (=> @t173 (tptp.element @t174 @t56)))) % 1.74/1.91 (assume @p281 (forall @t75 (=> @t472 (and @t487 (tptp.net_str @t398 @t1))))) % 1.74/1.91 (assume @p282 (forall @t6 (and (tptp.v1_partfun1 @t488 @t1 @t1) (tptp.relation_of2_as_subset @t488 @t1 @t1)))) % 1.74/1.91 (assume @p283 (forall @t19 (=> @t452 (tptp.element @t254 @t101)))) % 1.74/1.91 (assume @p284 (forall @t6 @t489)) % 1.74/1.91 (assume @p285 (forall @t19 (=> @t415 (tptp.element @t490 @t56)))) % 1.74/1.91 (assume @p286 (forall @t75 (=> @t173 (tptp.element @t491 @t56)))) % 1.74/1.91 (assume @p287 (forall @t75 (=> @t493 (and (tptp.strict_net_str @t492 @t1) (tptp.subnet @t492 @t1 @t11))))) % 1.74/1.91 (assume @p288 (forall @t75 (=> @t18 (and @t494 (tptp.subnetstr @t259 @t1 @t11))))) % 1.74/1.91 (assume @p289 (forall @t499 (=> @t498 (and (tptp.function @t495) (tptp.quasi_total @t495 @t1 @t69) (tptp.relation_of2_as_subset @t495 @t1 @t69))))) % 1.74/1.91 (assume @p290 (forall @t6 (=> @t17 (and (tptp.function @t198) (tptp.quasi_total @t198 @t3 @t3) (tptp.relation_of2_as_subset @t198 @t3 @t3))))) % 1.74/1.91 (assume @p291 (forall @t19 (=> @t93 @t500))) % 1.74/1.91 (assume @p292 (forall @t19 (=> @t415 (tptp.element @t413 @t414)))) % 1.74/1.91 (assume @p293 (forall @t273 (=> @t502 (tptp.element @t501 @t14)))) % 1.74/1.91 (assume @p294 (forall @t19 (=> (and @t33 @t10 @t213 @t286) (and (tptp.strict_latt_str @t442) (tptp.latt_str @t442))))) % 1.74/1.91 (assume @p295 (forall @t273 (=> @t504 (tptp.element @t503 @t11)))) % 1.74/1.91 (assume @p296 (forall @t19 (=> @t185 @t505))) % 1.74/1.91 (assume @p297 (forall @t273 (=> @t74 (tptp.relation_of2_as_subset @t506 @t1 @t11)))) % 1.74/1.91 (assume @p298 (forall @t6 (=> @t328 (tptp.relation @t410)))) % 1.74/1.91 (assume @p299 (forall @t6 (=> @t169 @t17))) % 1.74/1.91 (assume @p300 (forall @t6 (=> @t5 @t17))) % 1.74/1.91 (assume @p301 (forall @t6 (=> @t103 @t17))) % 1.74/1.91 (assume @p302 (forall @t6 (=> @t17 (forall @t27 (=> @t16 @t257))))) % 1.74/1.91 (assume @p303 (forall @t6 (=> @t164 @t17))) % 1.74/1.91 (assume @p304 (forall @t6 (=> @t10 (and @t169 @t164)))) % 1.74/1.91 (assume @p305 (forall @t19 (=> @t460 (forall @t140 (=> @t270 @t255))))) % 1.74/1.91 (assume @p306 (forall @t19 (=> @t466 (forall @t140 (=> @t339 @t255))))) % 1.74/1.91 (assume @p307 (forall @t6 (=> @t5 (forall @t27 (=> @t153 @t257))))) % 1.74/1.91 (assume @p308 (forall @t19 (=> @t18 (forall @t140 (=> @t419 @t239))))) % 1.74/1.91 (assume @p309 (forall @t75 (=> @t283 @t97))) % 1.74/1.91 (assume @p310 (forall @t19 (=> @t507 (forall @t140 (=> @t238 @t244))))) % 1.74/1.91 (assume @p311 (forall @t6 (=> @t169 (and @t510 @t509 (tptp.relation_of2_as_subset @t7 @t508 @t3))))) % 1.74/1.91 (assume @p312 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 1.74/1.91 (assume @p313 (forall @t6 (=> @t103 (tptp.element @t294 @t297)))) % 1.74/1.91 (assume @p314 (forall @t19 (=> @t18 (and @t512 @t511 (tptp.relation_of2_as_subset @t12 @t14 @t3))))) % 1.74/1.91 (assume @p315 (forall @t6 (=> @t164 (and @t514 @t513 (tptp.relation_of2_as_subset @t8 @t508 @t3))))) % 1.74/1.91 (assume @p316 (exists @t6 @t169)) % 1.74/1.91 (assume @p317 (exists @t6 @t5)) % 1.74/1.91 (assume @p318 (exists @t6 @t103)) % 1.74/1.91 (assume @p319 (exists @t6 @t17)) % 1.74/1.91 (assume @p320 (forall @t6 (=> @t17 (exists @t27 @t16)))) % 1.74/1.91 (assume @p321 (exists @t6 @t164)) % 1.74/1.91 (assume @p322 (exists @t6 @t10)) % 1.74/1.91 (assume @p323 (forall @t19 (=> @t460 (exists @t140 @t270)))) % 1.74/1.91 (assume @p324 (forall @t19 (exists @t140 @t74))) % 1.74/1.91 (assume @p325 (forall @t6 (exists @t27 @t26))) % 1.74/1.91 (assume @p326 (forall @t19 (=> @t466 (exists @t140 @t339)))) % 1.74/1.91 (assume @p327 (forall @t6 (=> @t5 (exists @t27 @t153)))) % 1.74/1.91 (assume @p328 (forall @t19 (=> @t18 (exists @t140 @t419)))) % 1.74/1.91 (assume @p329 (forall @t19 (exists @t140 @t283))) % 1.74/1.91 (assume @p330 (forall @t19 (=> @t507 (exists @t140 @t238)))) % 1.74/1.91 (assume @p331 (forall @t19 (=> @t114 @t515))) % 1.74/1.91 (assume @p332 (forall @t19 (=> @t517 (and (tptp.empty @t516) (tptp.relation @t516))))) % 1.74/1.91 (assume @p333 (forall @t19 (=> (and @t103 @t121 @t102) (and (tptp.empty @t307) (tptp.v1_membered @t307) (tptp.v2_membered @t307) (tptp.v3_membered @t307) (tptp.v4_membered @t307) (tptp.v5_membered @t307) (tptp.boundary_set @t307 @t1))))) % 1.74/1.91 (assume @p334 (forall @t19 (=> @t65 @t515))) % 1.74/1.91 (assume @p335 (forall @t6 (=> @t54 (and (tptp.empty @t395) @t479)))) % 1.74/1.91 (assume @p336 (forall @t19 (=> @t65 (tptp.finite @t380)))) % 1.74/1.91 (assume @p337 (and @t520 @t519 @t518)) % 1.74/1.91 (assume @p338 (forall @t19 (=> (and @t93 @t68 @t114) (tptp.finite @t220)))) % 1.74/1.91 (assume @p339 (forall @t19 (=> @t522 (and @t500 (tptp.relation_empty_yielding @t205))))) % 1.74/1.91 (assume @p340 (forall @t6 (=> (and @t124 @t5) (and (not (tptp.empty @t2)) @t523)))) % 1.74/1.91 (assume @p341 (forall @t19 (=> @t524 (tptp.finite @t96)))) % 1.74/1.91 (assume @p342 (forall @t6 (=> @t391 (and @t525 (tptp.lower_relstr_subset @t357 @t1) (tptp.upper_relstr_subset @t357 @t1))))) % 1.74/1.91 (assume @p343 (forall @t19 (=> @t466 (and (not (tptp.empty @t12)) (tptp.relation @t12) @t512 @t511)))) % 1.74/1.91 (assume @p344 (forall @t75 (=> (and @t17 @t152 @t16) (and (tptp.transitive_relstr @t259) @t494 (tptp.full_subnetstr @t259 @t1 @t11))))) % 1.74/1.91 (assume @p345 (forall @t6 (and @t526 (tptp.finite @t292)))) % 1.74/1.91 (assume @p346 (forall @t6 (and @t527 (tptp.cup_closed @t56) (tptp.diff_closed @t56) (tptp.preboolean @t56)))) % 1.74/1.91 (assume @p347 (forall @t19 (=> (and @t93 @t68 @t185 @t134) (and @t482 (tptp.function @t411))))) % 1.74/1.91 (assume @p348 (forall @t6 (and @t542 @t449 @t541 @t540 @t539 @t538 @t537 @t536 @t535 @t534 @t533 @t532 @t531 @t530 @t529 @t528 (tptp.complete_latt_str @t285)))) % 1.74/1.91 (assume @p349 (forall @t6 (and @t542 @t449))) % 1.74/1.91 (assume @p350 (forall @t19 (=> (and @t148 @t137) (and (not (tptp.empty_carrier @t426)) @t427)))) % 1.74/1.91 (assume @p351 (forall @t6 @t543)) % 1.74/1.91 (assume @p352 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 1.74/1.91 (assume @p353 (forall @t6 (=> @t17 (and (tptp.empty @t330) (tptp.v1_membered @t330) (tptp.v2_membered @t330) (tptp.v3_membered @t330) (tptp.v4_membered @t330) (tptp.v5_membered @t330))))) % 1.74/1.91 (assume @p354 (forall @t19 (=> @t483 (tptp.relation @t167)))) % 1.74/1.91 (assume @p355 (forall @t6 (=> @t215 (not @t305)))) % 1.74/1.91 (assume @p356 (forall @t6 @t527)) % 1.74/1.91 (assume @p357 (forall @t6 (and @t556 @t473 @t555 @t554 @t553 @t552 @t551 @t550 @t549 @t548 @t547 @t546 @t545 @t544))) % 1.74/1.91 (assume @p358 (forall @t6 (and @t556 @t473 @t555 @t554 @t553 @t549 @t548 @t547 @t546 @t545 @t560 @t544 @t559 @t558 @t557 @t552 @t551 @t550))) % 1.74/1.91 (assume @p359 @t520) % 1.74/1.91 (assume @p360 (forall @t19 (=> @t460 (and (not (tptp.empty @t316)) (tptp.filtered_subset @t316 @t458) (tptp.upper_relstr_subset @t316 @t458) (tptp.proper_element @t316 @t459))))) % 1.74/1.91 (assume @p361 (forall @t19 (=> (tptp.relation_of2 @t11 @t292 @t292) (and (not (tptp.empty_carrier @t561)) (tptp.strict_rel_str @t561) (tptp.trivial_carrier @t561))))) % 1.74/1.91 (assume @p362 (forall @t6 (=> @t328 (and @t564 @t471 @t470 @t469 @t468 @t563 @t562)))) % 1.74/1.91 (assume @p363 (forall @t19 (not (tptp.empty @t386)))) % 1.74/1.91 (assume @p364 (forall @t75 (=> (and @t33 @t17 @t213 @t245 @t16 @t399) (and @t565 @t487)))) % 1.74/1.91 (assume @p365 (forall @t75 (=> @t493 (and @t565 (tptp.transitive_relstr @t398) @t487 (tptp.directed_relstr @t398))))) % 1.74/1.91 (assume @p366 (forall @t19 (=> @t28 @t566))) % 1.74/1.91 (assume @p367 (forall @t19 (=> @t28 @t567))) % 1.74/1.91 (assume @p368 (forall @t19 (=> @t45 (and @t566 @t568)))) % 1.74/1.91 (assume @p369 (forall @t6 (=> (and @t64 @t112) (and @t543 @t571 @t570 @t569 (tptp.natural @t293))))) % 1.74/1.91 (assume @p370 (forall @t19 (and @t572 (tptp.finite @t160)))) % 1.74/1.91 (assume @p371 (forall @t6 (and @t489 @t573))) % 1.74/1.91 (assume @p372 (forall @t6 (=> @t576 (and @t575 @t514 @t513 (tptp.v1_binop_1 @t8 @t3) @t574)))) % 1.74/1.91 (assume @p373 (forall @t6 (and @t542 @t449 @t541 @t540 @t539 @t538 @t537 @t536 @t535))) % 1.74/1.91 (assume @p374 (forall @t6 (=> (and @t31 @t41 @t40 @t5) (and @t523 (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 1.74/1.91 (assume @p375 (and @t519 @t518 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t520 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.74/1.91 (assume @p376 (forall @t6 (and @t489 @t573 (tptp.reflexive @t183) (tptp.symmetric @t183) (tptp.antisymmetric @t183) (tptp.transitive @t183)))) % 1.74/1.91 (assume @p377 (forall @t6 (=> @t215 @t525))) % 1.74/1.91 (assume @p378 (forall @t19 (=> @t483 (tptp.relation @t162)))) % 1.74/1.91 (assume @p379 (forall @t6 @t526)) % 1.74/1.91 (assume @p380 (forall @t19 (=> @t577 (tptp.closed_subset @t254 @t1)))) % 1.74/1.91 (assume @p381 (forall @t6 (=> (and @t39 @t5) @t578))) % 1.74/1.91 (assume @p382 (forall @t6 (=> @t148 (and @t556 (not (tptp.trivial_carrier @t343)) @t473 @t555 @t554 @t553 @t549 @t548 @t547 @t546 @t545 @t560 @t544 @t559 @t558 @t557 @t552 @t551 @t550)))) % 1.74/1.91 (assume @p383 (forall @t19 (=> @t148 (not (tptp.empty @t162))))) % 1.74/1.91 (assume @p384 (forall @t6 (=> @t391 @t525))) % 1.74/1.91 (assume @p385 (forall @t6 (=> (and @t33 @t79 @t77 @t10) (and @t564 @t471 @t470 @t469 @t468 @t579 @t563 @t562)))) % 1.74/1.91 (assume @p386 (forall @t19 (=> @t45 (and @t567 @t580)))) % 1.74/1.91 (assume @p387 (forall @t19 (=> @t48 (and @t566 @t568 @t581)))) % 1.74/1.91 (assume @p388 (forall @t19 (=> @t48 (and @t567 @t580 @t582)))) % 1.74/1.91 (assume @p389 (forall @t19 (=> @t51 (and @t566 @t568 @t581 @t583)))) % 1.74/1.91 (assume @p390 (forall @t19 (=> @t51 (and @t567 @t580 @t582 @t584)))) % 1.74/1.91 (assume @p391 (forall @t19 (=> @t53 (and @t566 @t568 @t581 @t583 (tptp.v5_membered @t167))))) % 1.74/1.91 (assume @p392 (forall @t19 (=> @t53 (and @t567 @t580 @t582 @t584 (tptp.v5_membered @t166))))) % 1.74/1.91 (assume @p393 (forall @t19 (=> @t28 @t585))) % 1.74/1.91 (assume @p394 (forall @t19 (=> @t45 (and @t585 @t586)))) % 1.74/1.91 (assume @p395 (forall @t19 (=> @t48 (and @t585 @t586 @t587)))) % 1.74/1.91 (assume @p396 (forall @t6 (=> @t116 (and @t479 (tptp.function @t395))))) % 1.74/1.91 (assume @p397 (forall @t6 (=> (and @t33 @t84 @t164) (and @t575 @t514 @t513 (tptp.v2_binop_1 @t8 @t3) @t574)))) % 1.74/1.91 (assume @p398 (forall @t6 (and @t542 @t449 @t541 @t540 @t539 @t538 @t537 @t536 @t535 @t534 @t533 @t532 @t531 @t530 @t529 @t528))) % 1.74/1.91 (assume @p399 (forall @t75 (=> (and @t148 @t134 @t440 @t439 @t71 @t438 @t437) (and (not (tptp.empty_carrier @t434)) @t435)))) % 1.74/1.91 (assume @p400 (forall @t19 (=> (and @t135 @t589 @t588 @t136 @t137) (and @t427 (tptp.reflexive_relstr @t426) (tptp.transitive_relstr @t426) (tptp.antisymmetric_relstr @t426))))) % 1.74/1.91 (assume @p401 (forall @t6 (=> @t64 (and @t543 @t571 @t570 @t569)))) % 1.74/1.91 (assume @p402 (forall @t19 (=> @t483 (tptp.relation @t380)))) % 1.74/1.91 (assume @p403 (forall @t19 @t572)) % 1.74/1.91 (assume @p404 (forall @t19 (=> (and @t104 @t103 @t98 @t102) @t590))) % 1.74/1.91 (assume @p405 (forall @t6 (=> (and @t33 @t37 @t5) @t578))) % 1.74/1.91 (assume @p406 (forall @t19 (=> @t148 (not (tptp.empty @t161))))) % 1.74/1.91 (assume @p407 (forall @t6 (=> (and @t33 @t79 @t78 @t10) (and @t564 @t471 @t470 @t469 @t468 @t591 @t563 @t562)))) % 1.74/1.91 (assume @p408 (forall @t19 (=> @t51 (and @t585 @t586 @t587 @t592)))) % 1.74/1.91 (assume @p409 (forall @t19 (=> @t53 (and @t585 @t586 @t587 @t592 (tptp.v5_membered @t380))))) % 1.74/1.91 (assume @p410 (forall @t19 (=> @t222 (and @t500 (tptp.function @t205))))) % 1.74/1.91 (assume @p411 (forall @t6 (=> (and @t33 @t83 @t169) (and @t594 @t510 @t509 (tptp.v1_binop_1 @t7 @t3) @t593)))) % 1.74/1.91 (assume @p412 (forall @t6 (=> @t328 (and @t564 @t471 @t470 @t469 @t468)))) % 1.74/1.91 (assume @p413 (forall @t6 (=> @t64 (and (tptp.epsilon_transitive @t333) (tptp.epsilon_connected @t333) (tptp.ordinal @t333))))) % 1.74/1.91 (assume @p414 (and @t520 @t519)) % 1.74/1.91 (assume @p415 (forall @t19 (=> @t149 (not (tptp.empty @t96))))) % 1.74/1.91 (assume @p416 (forall @t19 (=> (and @t104 @t103 @t99 @t102) @t595))) % 1.74/1.91 (assume @p417 (forall @t6 (=> (and @t38 @t5) @t596))) % 1.74/1.91 (assume @p418 (forall @t6 (=> @t322 (and @t564 @t471 @t470 @t469 @t468 @t591 @t579 (tptp.bounded_relstr @t327) @t563 @t562 (tptp.complete_relstr @t327))))) % 1.74/1.91 (assume @p419 (forall @t19 (=> @t597 (and @t505 (tptp.function @t224))))) % 1.74/1.91 (assume @p420 (forall @t6 (=> (and @t33 @t82 @t169) (and @t594 @t510 @t509 (tptp.v2_binop_1 @t7 @t3) @t593)))) % 1.74/1.91 (assume @p421 (forall @t6 (=> @t105 @t598))) % 1.74/1.91 (assume @p422 (forall @t6 (=> @t600 (not @t599)))) % 1.74/1.91 (assume @p423 (forall @t6 (=> (and @t33 @t46 @t5) @t596))) % 1.74/1.91 (assume @p424 (forall @t6 (and @t467 @t603 @t602 @t601))) % 1.74/1.91 (assume @p425 (and @t520 (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))) % 1.74/1.91 (assume @p426 (forall @t6 (=> @t600 (not @t604)))) % 1.74/1.91 (assume @p427 (forall @t19 (=> @t577 @t605))) % 1.74/1.91 (assume @p428 (forall @t273 (=> (and @t17 @t141 @t432 @t237 @t431 @t430) (and (not (tptp.empty_carrier @t428)) @t429)))) % 1.74/1.91 (assume @p429 (forall @t6 (=> @t148 (and (not (tptp.empty_carrier @t318)) @t467 @t603 @t602 @t601)))) % 1.74/1.91 (assume @p430 (forall @t6 (=> @t54 (and @t599 (tptp.relation @t218))))) % 1.74/1.91 (assume @p431 (forall @t6 (and @t556 @t473 @t555 @t554 @t553))) % 1.74/1.91 (assume @p432 (forall @t6 (=> @t54 (and @t604 (tptp.relation @t382))))) % 1.74/1.91 (assume @p433 (forall @t6 (=> @t105 (and (tptp.open_subset @t357 @t1) @t598)))) % 1.74/1.91 (assume @p434 (forall @t6 (and @t556 @t473 @t555 @t554 @t553 @t549 @t548 @t547 @t552 @t551 @t550))) % 1.74/1.91 (assume @p435 (forall @t6 (and @t556 @t473 @t555 @t554 @t553 @t549 @t548 @t547 (tptp.directed_relstr @t343) @t546 @t545 @t560 @t552 @t551 @t550))) % 1.74/1.91 (assume @p436 (forall @t19 (=> @t524 (tptp.finite @t162)))) % 1.74/1.91 (assume @p437 (forall @t19 (=> @t517 (and (tptp.empty @t411) @t482)))) % 1.74/1.91 (assume @p438 (forall @t6 (=> @t103 (tptp.dense @t357 @t1)))) % 1.74/1.91 (assume @p439 (forall @t6 (and @t556 @t473 @t555 @t554 @t553 @t552 @t551 @t550 @t549 @t548 @t547 @t546 @t545 @t544 @t558))) % 1.74/1.91 (assume @p440 (forall @t19 (=> @t606 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t182 (and @t399 @t210 (= @t1 (tptp.ordered_pair_as_product_element @t14 @t14 @t69 @t177)) (tptp.below_refl @t11 @t69 @t177))))))) % 1.74/1.91 (assume @p441 (forall @t75 (=> (and @t213 (tptp.topological_space @t11) @t608 @t399) (= (tptp.in @t1 (tptp.a_2_0_yellow19 @t11 @t69)) (exists @t192 (and (tptp.point_neighbourhood @t177 @t11 @t69) @t607)))))) % 1.74/1.91 (assume @p442 @t619) % 1.74/1.91 (assume @p443 (forall @t75 (=> (and @t213 @t286) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t69)) @t620)))) % 1.74/1.91 (assume @p444 (forall @t75 (=> (and @t213 @t444 (tptp.complete_latt_str @t11) @t286) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t69)) @t620)))) % 1.74/1.91 (assume @p445 (forall @t273 (=> (and @t213 @t456 @t243 @t616 (tptp.element @t177 @t229)) (= (tptp.in @t1 (tptp.a_3_0_waybel_9 @t11 @t69 @t177)) (exists @t209 (and (tptp.element @t199 @t229) @t621 (tptp.related @t69 @t177 @t199))))))) % 1.74/1.91 (assume @p446 (forall @t19 (=> @t137 (forall @t182 (=> (= @t426 (tptp.rel_str_of @t69 @t177)) @t623))))) % 1.74/1.91 (assume @p447 (forall @t273 (=> @t433 (forall (@list @t199 @t230 @t228 @t624) (=> (= @t428 (tptp.net_str_of @t199 @t230 @t228 @t624)) (and @t621 (= @t11 @t230) (= @t69 @t228) @t625)))))) % 1.74/1.91 (assume @p448 (forall @t75 (=> @t441 (forall @t627 (=> (= @t434 (tptp.latt_str_of @t177 @t199 @t230)) (and @t607 (= @t11 @t199) @t626)))))) % 1.74/1.91 (assume @p449 (forall @t19 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.74/1.91 (assume @p450 (forall @t19 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.74/1.91 (assume @p451 (forall @t75 (=> @t173 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 1.74/1.91 (assume @p452 (forall @t75 (=> @t173 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 1.74/1.91 (assume @p453 (forall @t19 (=> @t57 (= (tptp.subset_complement @t1 @t385) @t11)))) % 1.74/1.91 (assume @p454 (forall @t6 (=> @t93 (= (tptp.relation_inverse @t395) @t1)))) % 1.74/1.91 (assume @p455 (forall @t19 (=> @t415 (= (tptp.complements_of_subsets @t1 @t413) @t11)))) % 1.74/1.91 (assume @p456 (forall @t19 (not (tptp.proper_subset @t1 @t1)))) % 1.74/1.91 (assume @p457 (forall @t6 (=> @t93 (= @t92 (forall @t27 (=> @t628 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 1.74/1.91 (assume @p458 (forall @t6 (not (= @t292 tptp.empty_set)))) % 1.74/1.91 (assume @p459 (forall @t19 (=> @t22 (= (tptp.set_union2 @t292 @t11) @t11)))) % 1.74/1.91 (assume @p460 (forall @t19 (not (and @t629 @t22)))) % 1.74/1.91 (assume @p461 (forall @t19 (=> @t630 @t629))) % 1.74/1.91 (assume @p462 (forall @t19 (=> @t185 (tptp.subset (tptp.relation_dom @t224) @t274)))) % 1.74/1.91 (assume @p463 (forall @t6 (=> @t93 (= @t94 (forall @t278 (=> (and @t277 @t331) @t276)))))) % 1.74/1.91 (assume @p464 (forall @t19 (= (tptp.subset @t292 @t11) @t22))) % 1.74/1.91 (assume @p465 (forall @t19 (=> @t185 (not (and @t631 (tptp.equipotent @t1 @t314) (forall @t140 (=> @t95 (not (tptp.well_orders @t69 @t1))))))))) % 1.74/1.91 (assume @p466 (forall @t19 (= (= @t380 tptp.empty_set) @t187))) % 1.74/1.91 (assume @p467 (forall @t19 (=> @t57 (forall @t140 (=> @t299 @t179))))) % 1.74/1.91 (assume @p468 (forall @t6 (=> @t93 (= @t226 (forall @t197 (=> (and @t277 @t632) @t289)))))) % 1.74/1.91 (assume @p469 (forall @t75 (=> @t187 (or @t179 (tptp.subset @t1 (tptp.set_difference @t11 @t633)))))) % 1.74/1.91 (assume @p470 (forall @t6 (=> @t215 (forall @t27 (=> @t102 (forall @t140 (=> @t157 (= (tptp.in @t69 @t306) @t354)))))))) % 1.74/1.91 (assume @p471 (forall @t6 (=> @t93 (= @t262 (forall @t197 (not (and @t628 (tptp.in @t69 @t225) @t355 @t634 (not @t632)))))))) % 1.74/1.91 (assume @p472 (forall @t19 (= (tptp.subset @t1 @t635) (or @t280 (= @t1 @t635))))) % 1.74/1.91 (assume @p473 (forall @t19 (=> @t22 (tptp.subset @t1 @t636)))) % 1.74/1.91 (assume @p474 (forall @t273 (= (tptp.in @t386 (tptp.cartesian_product2 @t69 @t177)) (and @t637 (tptp.in @t11 @t177))))) % 1.74/1.91 (assume @p475 (forall @t19 (=> @t358 @t638))) % 1.74/1.91 (assume @p476 (forall @t75 (=> @t403 (= @t640 (and (tptp.in @t11 @t377) @t20))))) % 1.74/1.91 (assume @p477 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143 @t150 @t78 @t77))) % 1.74/1.91 (assume @p478 (forall @t6 (=> @t641 (exists @t27 (and @t102 @t141 @t106 @t320))))) % 1.74/1.91 (assume @p479 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))) % 1.74/1.91 (assume @p480 (forall @t6 (=> (and @t31 @t41 @t40 @t39 @t38 @t5) (exists @t27 (and @t102 @t141 @t107 @t106 @t642 @t320))))) % 1.74/1.91 (assume @p481 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t142))) % 1.74/1.91 (assume @p482 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t108))) % 1.74/1.91 (assume @p483 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143 @t78 @t77 @t76 @t142 @t144))) % 1.74/1.91 (assume @p484 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29))) % 1.74/1.91 (assume @p485 (exists @t6 (and @t148 @t90 @t89 @t64 @t112))) % 1.74/1.91 (assume @p486 (exists @t6 (and @t148 @t65))) % 1.74/1.91 (assume @p487 (exists @t6 @t222)) % 1.74/1.91 (assume @p488 (forall @t19 (exists @t140 (and @t74 @t95 @t71 @t70)))) % 1.74/1.91 (assume @p489 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t34))) % 1.74/1.91 (assume @p490 (exists @t6 (and @t148 @t28 @t45 @t48 @t51 @t53))) % 1.74/1.91 (assume @p491 (exists @t6 (and @t5 @t4))) % 1.74/1.91 (assume @p492 (exists @t6 @t127)) % 1.74/1.91 (assume @p493 (exists @t6 (and @t90 @t89 @t64 @t384))) % 1.74/1.91 (assume @p494 (exists @t6 (and @t93 @t68 @t115 @t54))) % 1.74/1.91 (assume @p495 (exists @t6 (and @t93 @t521 @t68))) % 1.74/1.91 (assume @p496 (exists @t6 (and @t54 @t93))) % 1.74/1.91 (assume @p497 (forall @t6 (=> @t148 (exists @t27 (and @t57 @t141))))) % 1.74/1.91 (assume @p498 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t99))))) % 1.74/1.91 (assume @p499 (forall @t6 (=> @t5 (exists @t27 (and @t102 @t107 @t106))))) % 1.74/1.91 (assume @p500 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t108 @t30 @t29))) % 1.74/1.91 (assume @p501 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34 @t36 @t129 @t138))) % 1.74/1.91 (assume @p502 (exists @t6 (and @t5 @t33 @t643 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t124 @t36 @t35 @t155 @t42 @t39 @t38))) % 1.74/1.91 (assume @p503 (forall @t19 (=> @t507 (exists @t140 (and @t238 @t243 @t241 @t644 @t240))))) % 1.74/1.91 (assume @p504 (exists @t6 @t54)) % 1.74/1.91 (assume @p505 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t122))) % 1.74/1.91 (assume @p506 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t124))) % 1.74/1.91 (assume @p507 (forall @t6 (exists @t27 (and @t57 @t100 @t185 @t134 @t133 @t63 @t62 @t61 @t52 @t114)))) % 1.74/1.91 (assume @p508 (exists @t6 @t117)) % 1.74/1.91 (assume @p509 (forall @t6 (exists @t27 (and @t137 @t185 @t134 @t133 @t132 @t131 @t130)))) % 1.74/1.91 (assume @p510 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34))) % 1.74/1.91 (assume @p511 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40))) % 1.74/1.91 (assume @p512 (exists @t6 (and @t93 @t68 @t115 @t54 @t90 @t89 @t64))) % 1.74/1.91 (assume @p513 (forall @t19 (exists @t140 (and @t74 @t95 @t71)))) % 1.74/1.91 (assume @p514 (exists @t6 @t600)) % 1.74/1.91 (assume @p515 (forall @t6 (exists @t27 (and @t57 @t100)))) % 1.74/1.91 (assume @p516 (forall @t6 (exists @t27 (and @t57 (not @t645))))) % 1.74/1.91 (assume @p517 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t99 @t98))))) % 1.74/1.91 (assume @p518 (forall @t6 (=> (and @t33 @t31 @t5) (exists @t27 (and @t102 @t141 @t114 @t107 @t106))))) % 1.74/1.91 (assume @p519 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29 @t129 @t138))) % 1.74/1.91 (assume @p520 (forall @t6 (exists @t27 (and @t415 @t141 @t114)))) % 1.74/1.91 (assume @p521 (exists @t6 @t148)) % 1.74/1.91 (assume @p522 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))) % 1.74/1.91 (assume @p523 (forall @t6 (=> @t148 (exists @t27 (and @t57 @t141 @t114))))) % 1.74/1.91 (assume @p524 (exists @t6 @t116)) % 1.74/1.91 (assume @p525 (exists @t6 (and @t10 @t9))) % 1.74/1.91 (assume @p526 (exists @t6 (and @t148 @t90 @t89 @t64))) % 1.74/1.91 (assume @p527 (forall @t6 (exists @t27 (and @t137 @t185 @t135 (tptp.symmetric @t11) @t589 @t588 @t136)))) % 1.74/1.91 (assume @p528 (exists @t6 @t522)) % 1.74/1.91 (assume @p529 (exists @t6 (and @t17 @t33))) % 1.74/1.91 (assume @p530 (forall @t6 (=> @t267 (exists @t27 (and @t102 @t141 @t99 @t98))))) % 1.74/1.91 (assume @p531 (forall @t6 (=> @t17 (exists @t27 (and @t298 @t141 @t114))))) % 1.74/1.91 (assume @p532 (forall @t6 (=> @t103 (exists @t27 (and @t102 @t100 @t55 @t58 @t59 @t60 @t111 @t121))))) % 1.74/1.91 (assume @p533 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t15))))) % 1.74/1.91 (assume @p534 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t35 @t155 @t42))) % 1.74/1.91 (assume @p535 (forall @t6 (=> (and @t33 @t643 @t31 @t41 @t40 @t37 @t5) (exists @t27 (and @t102 @t141 @t646 @t106 @t320))))) % 1.74/1.91 (assume @p536 (exists @t6 (and @t5 @t33 @t4 @t41 @t390))) % 1.74/1.91 (assume @p537 (forall @t6 (=> @t215 (exists @t27 (and @t102 @t141))))) % 1.74/1.91 (assume @p538 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t100 @t99 @t98 @t55 @t58 @t59 @t60 @t111 @t121 @t128))))) % 1.74/1.91 (assume @p539 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))) % 1.74/1.91 (assume @p540 (exists @t6 (and @t10 @t33 @t9))) % 1.74/1.91 (assume @p541 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t98))))) % 1.74/1.91 (assume @p542 (forall @t19 (=> @t18 (exists @t140 (and @t419 @t644 @t425))))) % 1.74/1.91 (assume @p543 (forall @t6 (=> @t267 (exists @t27 (and @t102 @t141 @t98))))) % 1.74/1.91 (assume @p544 (forall @t6 (=> @t5 (exists @t27 (and @t102 @t642 @t320))))) % 1.74/1.91 (assume @p545 (forall @t19 (=> (and @t17 @t213 @t16) (exists @t140 (and @t419 @t243 @t644 @t425))))) % 1.74/1.91 (assume @p546 (forall @t6 (=> @t391 (exists @t27 (and @t102 @t141 @t642 @t320))))) % 1.74/1.91 (assume @p547 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79))) % 1.74/1.91 (assume @p548 (forall @t6 (=> @t641 (exists @t27 (and @t102 @t141 @t107 @t642))))) % 1.74/1.91 (assume @p549 (forall @t273 (=> @t445 (= @t443 @t180)))) % 1.74/1.91 (assume @p550 (forall @t273 (=> @t448 (= @t446 @t180)))) % 1.74/1.91 (assume @p551 (forall @t6 (= @t450 @t56))) % 1.74/1.91 (assume @p552 (forall @t19 (=> @t93 (= @t451 @t394)))) % 1.74/1.91 (assume @p553 (forall @t273 (=> @t457 (= @t453 @t401)))) % 1.74/1.91 (assume @p554 (forall @t6 (= @t317 @t315))) % 1.74/1.91 (assume @p555 (forall @t463 (=> @t462 (= @t461 (tptp.apply_binary @t177 @t199 @t230))))) % 1.74/1.91 (assume @p556 (forall @t6 (=> @t328 (= @t326 @t410)))) % 1.74/1.91 (assume @p557 (forall @t273 (=> @t465 (= @t464 @t647)))) % 1.74/1.91 (assume @p558 (forall @t75 (=> @t159 (= @t156 @t648)))) % 1.74/1.91 (assume @p559 (forall @t75 (=> @t165 (= @t163 @t287)))) % 1.74/1.91 (assume @p560 (forall @t273 (=> @t478 (= @t474 @t401)))) % 1.74/1.91 (assume @p561 (forall @t75 (=> @t170 (= @t168 @t250)))) % 1.74/1.91 (assume @p562 (forall @t75 (=> @t74 (= @t282 @t377)))) % 1.74/1.91 (assume @p563 (forall @t75 (=> @t173 (= @t171 @t649)))) % 1.74/1.91 (assume @p564 (forall @t273 (=> @t481 (= @t480 (tptp.relation_inverse_image @t69 @t177))))) % 1.74/1.91 (assume @p565 (forall @t75 (=> @t74 (= @t485 @t376)))) % 1.74/1.91 (assume @p566 (forall @t19 (=> @t415 (= @t486 @t636)))) % 1.74/1.91 (assume @p567 (forall @t75 (=> @t173 (= @t174 @t650)))) % 1.74/1.91 (assume @p568 (forall @t6 (= @t488 @t183))) % 1.74/1.91 (assume @p569 (forall @t19 (=> @t415 (= @t490 @t324)))) % 1.74/1.91 (assume @p570 (forall @t75 (=> @t173 (= @t491 @t651)))) % 1.74/1.91 (assume @p571 (forall @t75 (=> @t493 (= @t492 @t398)))) % 1.74/1.91 (assume @p572 (forall @t499 (=> @t498 (= @t495 @t652)))) % 1.74/1.91 (assume @p573 (forall @t273 (=> @t502 (= @t501 @t401)))) % 1.74/1.91 (assume @p574 (forall @t273 (=> @t504 (= @t503 @t401)))) % 1.74/1.91 (assume @p575 (forall @t273 (=> @t74 (= @t506 @t647)))) % 1.74/1.91 (assume @p576 (forall @t75 (= @t283 @t74))) % 1.74/1.91 (assume @p577 (forall @t19 (=> @t176 (= @t175 @t187)))) % 1.74/1.91 (assume @p578 (forall @t19 (= @t379 (tptp.are_equipotent @t1 @t11)))) % 1.74/1.91 (assume @p579 (forall @t75 (=> @t654 (= @t653 @t353)))) % 1.74/1.91 (assume @p580 (forall @t75 (=> @t655 (= (tptp.related_reflexive @t1 @t11 @t69) @t341)))) % 1.74/1.91 (assume @p581 (forall @t19 (=> @t176 (tptp.ordinal_subset @t1 @t1)))) % 1.74/1.91 (assume @p582 (forall @t19 (tptp.subset @t1 @t1))) % 1.74/1.91 (assume @p583 (forall @t19 (tptp.equipotent @t1 @t1))) % 1.74/1.91 (assume @p584 (forall @t75 (=> @t654 (tptp.below_refl @t1 @t11 @t11)))) % 1.74/1.91 (assume @p585 (forall @t75 (=> @t655 (tptp.related_reflexive @t1 @t11 @t11)))) % 1.74/1.91 (assume @p586 (forall @t19 (=> @t670 (=> @t669 (exists @t140 (and @t95 @t71 (forall @t204 (= @t203 (and @t303 @t303 (exists @t660 (and (= @t177 @t657) (tptp.in @t199 @t657) (forall @t659 (=> @t658 (tptp.in (tptp.ordered_pair @t199 @t656) @t11)))))))))))))) % 1.74/1.91 (assume @p587 (forall @t6 (=> @t673 (exists @t27 (and @t185 @t134 (forall @t182 (= @t181 (and @t179 @t179 (= @t177 @t633))))))))) % 1.74/1.91 (assume @p588 (forall @t19 (=> @t686 (=> @t685 (exists @t140 (and @t95 @t71 (forall @t204 (= @t203 (and @t679 @t679 @t677))))))))) % 1.74/1.91 (assume @p589 (forall @t19 (=> @t686 (=> @t687 (exists @t140 (and @t95 @t71 (forall @t204 (= @t203 (and @t202 @t202 @t677))))))))) % 1.74/1.91 (assume @p590 (forall @t6 (=> (exists @t27 (and @t61 @t20)) (exists @t27 (and @t61 @t20 (forall @t140 (=> @t688 (=> @t179 (tptp.ordinal_subset @t11 @t69))))))))) % 1.74/1.91 (assume @p591 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t712)) (not (and @t304 (forall @t27 (not (and @t20 (forall @t140 (=> (and @t179 @t711) (= @t69 @t11))))))))))) (forall @t192 (=> @t695 (=> @t710 (=> (tptp.in @t709 tptp.omega) (forall @t665 (=> (tptp.element @t624 (tptp.powerset (tptp.powerset @t709))) (not (and (not (= @t624 tptp.empty_set)) (forall @t664 (not (and @t663 (forall @t660 (=> (and (tptp.in @t657 @t624) (tptp.subset @t662 @t657)) (= @t657 @t662)))))))))))))) (forall @t192 (=> @t695 (=> (and (tptp.being_limit_ordinal @t177) (forall @t659 (=> (tptp.ordinal @t656) (=> (tptp.in @t656 @t177) (=> (tptp.in @t656 tptp.omega) (forall @t708 (=> (tptp.element @t704 (tptp.powerset (tptp.powerset @t656))) (not (and (not (= @t704 tptp.empty_set)) (forall @t707 (not (and @t706 (forall @t705 (=> (and (tptp.in @t703 @t704) (tptp.subset @t702 @t703)) (= @t703 @t702))))))))))))))) (or (= @t177 tptp.empty_set) (=> @t694 (forall @t701 (=> (tptp.element @t698 @t692) (not (and (not (= @t698 tptp.empty_set)) (forall @t700 (not (and (tptp.in @t696 @t698) (forall @t699 (=> (and (tptp.in @t697 @t698) (tptp.subset @t696 @t697)) (= @t697 @t696)))))))))))))))) (forall @t192 (=> @t695 (=> @t694 (forall @t693 (=> (tptp.element @t691 @t692) (not (and (not (= @t691 tptp.empty_set)) (forall (@list @t689) (not (and (tptp.in @t689 @t691) (forall (@list @t690) (=> (and (tptp.in @t690 @t691) (tptp.subset @t689 @t690)) (= @t690 @t689))))))))))))))) % 1.74/1.91 (assume @p592 (forall @t75 (=> @t716 (exists @t192 (and @t715 (forall @t346 (= (tptp.in @t344 @t177) (and @t223 @t714 (tptp.in (tptp.ordered_pair @t400 @t713) @t11))))))))) % 1.74/1.91 (assume @p593 (forall @t19 (=> @t670 (=> @t669 (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t223 @t223 (exists @t660 (and (= @t199 @t657) @t718 @t717))))))))))) % 1.74/1.91 (assume @p594 (forall @t19 (=> @t670 (forall @t140 (=> (forall @t627 (=> (and @t661 (exists @t728 (and @t727 @t725 (exists @t664 (and (= @t228 @t662) (tptp.in @t624 @t662) (forall @t660 (=> @t724 (tptp.in (tptp.ordered_pair @t624 @t657) @t11))))))) @t723 (exists @t722 (and (= @t721 @t230) (tptp.in @t656 @t1) (exists @t707 (and (= @t656 @t702) (tptp.in @t704 @t702) (forall @t705 (=> (tptp.in @t703 @t702) (tptp.in (tptp.ordered_pair @t704 @t703) @t11)))))))) @t720)) (exists @t192 (forall @t209 (= @t272 (exists @t235 (and (tptp.in @t230 @t719) @t396 (exists (@list @t698 @t696) (and (= (tptp.ordered_pair @t698 @t696) @t199) (tptp.in @t698 @t1) (exists @t699 (and (= @t698 @t697) (tptp.in @t696 @t697) (forall @t693 (=> (tptp.in @t691 @t697) (tptp.in (tptp.ordered_pair @t696 @t691) @t11))))))))))))))))) % 1.74/1.91 (assume @p595 (forall @t75 (=> @t735 (=> (forall @t627 (=> (and @t661 (exists @t233 (and @t733 (exists @t665 (and @t732 @t731 (tptp.relstr_set_smaller @t1 @t228 @t624))))) @t723 (exists @t664 (and (= @t662 @t230) (exists @t660 (and (tptp.element @t657 @t3) @t730 (tptp.relstr_set_smaller @t1 @t662 @t657)))))) @t720)) (exists @t192 (forall @t209 (= @t272 (exists @t235 (and (tptp.in @t230 @t729) @t396 (exists @t659 (and (= @t656 @t199) (exists @t708 (and (tptp.element @t704 @t3) (tptp.in @t704 @t11) (tptp.relstr_set_smaller @t1 @t656 @t704)))))))))))))) % 1.74/1.91 (assume @p596 (forall @t6 (=> @t673 (exists @t27 (forall @t140 (= @t299 (exists @t192 (and @t303 @t303 (= @t69 (tptp.singleton @t177)))))))))) % 1.74/1.91 (assume @p597 (forall @t19 (=> (forall @t412 (=> (and @t178 (exists @t742 (and (= @t741 @t177) @t714 (= @t228 (tptp.singleton @t230)))) @t740 (exists (@list @t624 @t662) (and (= (tptp.ordered_pair @t624 @t662) @t199) @t739 (= @t662 (tptp.singleton @t624))))) @t661)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t96) @t738 (exists @t737 (and (= @t736 @t177) (tptp.in @t657 @t1) (= @t656 (tptp.singleton @t657)))))))))))) % 1.74/1.91 (assume @p598 (forall @t6 (=> @t64 (=> (forall @t278 (=> (and @t289 (exists @t209 (and @t744 @t740 (=> (tptp.in @t199 tptp.omega) (forall @t235 (=> (tptp.element @t230 (tptp.powerset (tptp.powerset @t199))) @t743))))) @t329 (exists @t664 (and (tptp.ordinal @t662) (= @t177 @t662) (=> (tptp.in @t662 tptp.omega) (forall @t660 (=> (tptp.element @t657 (tptp.powerset (tptp.powerset @t662))) (not (and (not (= @t657 tptp.empty_set)) (forall @t659 (not (and @t658 (forall @t708 (=> (and (tptp.in @t704 @t657) (tptp.subset @t656 @t704)) (= @t704 @t656)))))))))))))) @t178)) (exists @t27 (forall @t140 (= @t299 (exists @t192 (and (tptp.in @t177 @t293) @t405 (exists @t707 (and (tptp.ordinal @t702) (= @t69 @t702) (=> (tptp.in @t702 tptp.omega) (forall @t705 (=> (tptp.element @t703 (tptp.powerset (tptp.powerset @t702))) (not (and (not (= @t703 tptp.empty_set)) (forall @t701 (not (and (tptp.in @t698 @t703) (forall @t700 (=> (and (tptp.in @t696 @t703) (tptp.subset @t698 @t696)) (= @t696 @t698)))))))))))))))))))))) % 1.74/1.91 (assume @p599 (forall @t19 (=> @t577 (=> (forall @t412 (=> (and @t178 (exists @t235 (and @t683 @t747 (tptp.closed_subset @t230 @t1) @t745)) @t740 (exists @t233 (and @t680 @t733 (tptp.closed_subset @t228 @t1) (tptp.subset @t11 @t199)))) @t661)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t746 @t738 (exists @t665 (and @t676 @t675 (tptp.closed_subset @t624 @t1) @t745))))))))))) % 1.74/1.91 (assume @p600 (forall @t19 (=> @t749 (=> (forall @t412 (=> (and @t178 @t748 @t740 (tptp.in (tptp.set_difference @t357 @t199) @t11)) @t661)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t746 @t738 @t748))))))))) % 1.74/1.91 (assume @p601 (forall @t19 (=> @t751 (=> (forall @t412 (=> (and @t178 (exists @t235 (and @t345 (= @t177 (tptp.set_difference @t230 @t292)))) @t740 (exists @t233 (and @t750 (= @t199 (tptp.set_difference @t228 @t292))))) @t661)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t56) @t738 (exists @t665 (and @t731 (= @t177 (tptp.set_difference @t624 @t292))))))))))))) % 1.74/1.91 (assume @p602 (forall @t19 (=> @t686 (=> @t685 (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t754 @t754 @t753))))))))) % 1.74/1.91 (assume @p603 (forall @t19 (=> @t686 (forall @t140 (=> (forall @t627 (=> (and @t661 (exists @t728 (and @t727 (tptp.in @t228 @t678) @t763)) @t723 (exists @t737 (and @t760 (tptp.in @t657 @t678) @t759))) @t720)) (exists @t192 (forall @t209 (= @t272 (exists @t235 (and (tptp.in @t230 @t758) @t396 (exists @t757 (and @t756 (tptp.in @t702 @t678) @t755)))))))))))) % 1.74/1.91 (assume @p604 (forall @t19 (=> @t686 (=> @t687 (exists @t140 (forall @t192 (= @t219 (exists @t209 (and @t217 @t217 @t753))))))))) % 1.74/1.91 (assume @p605 (forall @t19 (=> @t686 (forall @t140 (=> (forall @t627 (=> (and @t661 (exists @t728 (and @t727 @t750 @t763)) @t723 (exists @t737 (and @t760 @t730 @t759))) @t720)) (exists @t192 (forall @t209 (= @t272 (exists @t235 (and (tptp.in @t230 @t764) @t396 (exists @t757 (and @t756 (tptp.in @t702 @t11) @t755)))))))))))) % 1.74/1.91 (assume @p606 (forall @t75 (=> @t716 (=> (forall @t627 (=> (and @t661 (exists @t728 (and (= @t199 @t726) (tptp.in (tptp.ordered_pair @t765 (tptp.apply @t69 @t624)) @t11))) @t723 (exists (@list @t662 @t657) (and (= @t230 (tptp.ordered_pair @t662 @t657)) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t662) (tptp.apply @t69 @t657)) @t11)))) @t720)) (exists @t192 (forall @t209 (= @t272 (exists @t235 (and (tptp.in @t230 @t436) @t396 (exists @t722 (and (= @t199 @t721) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t656) (tptp.apply @t69 @t704)) @t11)))))))))))) % 1.74/1.91 (assume @p607 (forall @t6 (=> (forall @t278 (=> (and @t289 @t688 @t329 @t695) @t178)) (exists @t27 (forall @t140 (= @t299 (exists @t192 (and @t303 @t405 @t688)))))))) % 1.74/1.91 (assume @p608 (forall @t75 (=> @t768 (=> (forall @t627 (=> (and @t661 @t766 @t723 (tptp.in (tptp.relation_image @t69 @t230) @t11)) @t720)) (exists @t192 (forall @t209 (= @t272 (exists @t235 (and (tptp.in @t230 @t767) @t396 @t766))))))))) % 1.74/1.91 (assume @p609 (forall @t19 (=> @t61 (=> (forall @t412 (=> (and @t178 (exists @t235 (and (tptp.ordinal @t230) @t723 @t714)) @t740 (exists @t233 (and (tptp.ordinal @t228) @t770 @t725))) @t661)) (exists @t140 (forall @t192 (= @t219 (exists @t209 (and (tptp.in @t199 @t769) @t738 (exists @t665 (and (tptp.ordinal @t624) @t625 @t739))))))))))) % 1.74/1.91 (assume @p610 (forall @t19 (=> @t670 (forall @t140 (exists @t192 (forall @t209 (= @t272 (and (tptp.in @t199 @t719) (exists @t742 (and @t771 @t714 (exists @t665 (and (= @t230 @t624) (tptp.in @t228 @t624) (forall @t664 (=> @t663 (tptp.in (tptp.ordered_pair @t228 @t662) @t11))))))))))))))) % 1.74/1.91 (assume @p611 (forall @t75 (=> @t735 (exists @t192 (forall @t209 (= @t272 (and (tptp.in @t199 @t729) (exists @t235 (and @t396 @t772))))))))) % 1.74/1.91 (assume @p612 (forall @t19 (exists @t140 (forall @t192 (= @t219 (and (tptp.in @t177 @t96) (exists @t346 (and (= @t344 @t177) @t223 (= @t230 @t773))))))))) % 1.74/1.91 (assume @p613 (forall @t6 (=> @t64 (exists @t27 (forall @t140 (= @t299 (and (tptp.in @t69 @t293) (exists @t192 (and @t695 @t178 @t710))))))))) % 1.74/1.91 (assume @p614 (forall @t19 (=> @t577 (exists @t140 (forall @t192 (= @t219 (and @t775 @t774))))))) % 1.74/1.91 (assume @p615 (forall @t19 (=> @t749 (exists @t140 (forall @t192 (= @t219 (and @t775 @t748))))))) % 1.74/1.91 (assume @p616 (forall @t19 (=> @t751 (exists @t140 (forall @t192 (= @t219 (and (tptp.in @t177 @t56) (exists @t209 (and @t217 (= @t177 (tptp.set_difference @t199 @t292))))))))))) % 1.74/1.91 (assume @p617 (forall @t19 (=> @t686 (forall @t140 (exists @t192 (forall @t209 (= @t272 (and (tptp.in @t199 @t758) (exists @t742 (and @t771 (tptp.in @t230 @t678) @t776)))))))))) % 1.74/1.91 (assume @p618 (forall @t19 (=> @t686 (forall @t140 (exists @t192 (forall @t209 (= @t272 (and (tptp.in @t199 @t764) (exists @t742 (and @t771 @t345 @t776)))))))))) % 1.74/1.91 (assume @p619 (forall @t75 (=> @t716 (exists @t192 (forall @t209 (= @t272 (and (tptp.in @t199 @t436) (exists @t742 (and (= @t199 @t741) (tptp.in (tptp.ordered_pair @t713 @t765) @t11)))))))))) % 1.74/1.91 (assume @p620 (forall @t6 (exists @t27 (forall @t140 (= @t299 (and @t179 @t688)))))) % 1.74/1.91 (assume @p621 (forall @t75 (=> @t768 (exists @t192 (forall @t209 (= @t272 (and (tptp.in @t199 @t767) @t766))))))) % 1.74/1.91 (assume @p622 (forall @t19 (=> @t61 (exists @t140 (forall @t192 (= @t219 (and (tptp.in @t177 @t769) (exists @t209 (and @t744 @t661 @t223))))))))) % 1.74/1.91 (assume @p623 (forall @t75 (=> @t735 (=> (and @t347 (exists @t192 (and @t191 @t202 (tptp.relstr_set_smaller @t1 tptp.empty_set @t177))) (forall @t346 (=> (and @t777 (tptp.subset @t230 @t69) @t772) (exists @t665 (and @t732 @t731 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t230 @t773) @t624)))))) (exists @t664 (and (tptp.element @t662 @t3) (tptp.in @t662 @t11) (tptp.relstr_set_smaller @t1 @t69 @t662))))))) % 1.74/1.91 (assume @p624 (forall @t19 (=> @t670 (=> (and (forall @t412 (=> (and @t179 @t668 @t666) @t661)) (forall @t140 (not (and @t179 (forall @t192 (not (exists @t660 (and (= @t69 @t657) @t718 @t717)))))))) (exists @t140 (and @t95 @t71 @t378 (forall @t192 (=> @t303 (exists @t708 (and (= @t177 @t704) (tptp.in @t401 @t704) (forall @t707 (=> @t706 (tptp.in (tptp.ordered_pair @t401 @t702) @t11))))))))))))) % 1.74/1.91 (assume @p625 (forall @t6 (=> (and (forall @t278 (=> (and @t20 @t672 @t671) @t178)) (forall @t27 (not (and @t20 (forall @t140 (not @t672)))))) @t780))) % 1.74/1.91 (assume @p626 (forall @t19 (=> @t686 (=> (and (forall @t412 (=> (and @t682 @t684 @t681) @t661)) (forall @t140 (not (and @t682 @t782)))) (exists @t140 (and @t95 @t71 (= @t377 @t678) (forall @t192 (=> @t679 @t781)))))))) % 1.74/1.91 (assume @p627 (forall @t19 (=> @t686 (=> (and (forall @t412 (=> (and @t299 @t684 @t681) @t661)) (forall @t140 (not (and @t299 @t782)))) (exists @t140 (and @t95 @t71 (= @t377 @t11) (forall @t192 (=> @t202 @t781)))))))) % 1.74/1.91 (assume @p628 (=> (forall @t6 (=> @t64 (=> (forall @t27 (=> @t61 (=> @t20 (=> (tptp.in @t11 tptp.omega) (forall @t140 (=> (tptp.element @t69 (tptp.powerset @t484)) (not (and @t359 (forall @t192 (not (and @t219 (forall @t209 (=> (and @t777 (tptp.subset @t177 @t199)) @t738))))))))))))) (=> @t783 (forall @t235 (=> (tptp.element @t230 @t414) @t743)))))) (forall @t6 (=> @t64 (=> @t783 (forall @t664 (=> (tptp.element @t662 @t414) (not (and (not (= @t662 tptp.empty_set)) (forall @t660 (not (and @t724 (forall @t659 (=> (and (tptp.in @t656 @t662) (tptp.subset @t657 @t656)) (= @t656 @t657))))))))))))))) % 1.74/1.91 (assume @p629 (forall @t6 @t780)) % 1.74/1.91 (assume @p630 (forall @t19 (=> @t577 (exists @t140 (and @t349 (forall @t192 (=> @t387 (= @t219 @t774)))))))) % 1.74/1.91 (assume @p631 (forall @t19 (=> @t749 (exists @t140 (and @t349 (forall @t192 (=> @t387 (= @t219 @t748)))))))) % 1.74/1.91 (assume @p632 (forall @t19 (=> @t404 (tptp.disjoint @t11 @t1)))) % 1.74/1.91 (assume @p633 (forall @t19 (=> @t379 (tptp.equipotent @t11 @t1)))) % 1.74/1.91 (assume @p634 (forall @t6 (tptp.in @t1 @t293))) % 1.74/1.91 (assume @p635 (forall @t19 (=> @t415 (and @t785 (not (and (not @t784) @t281)))))) % 1.74/1.91 (assume @p636 (forall @t273 (not (and (= @t160 (tptp.unordered_pair @t69 @t177)) (not @t622) @t786)))) % 1.74/1.91 (assume @p637 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t69))) (and @t22 (tptp.in @t1 @t376)))))) % 1.74/1.91 (assume @p638 (forall @t19 (=> @t185 (tptp.subset @t787 @t1)))) % 1.74/1.91 (assume @p639 (forall @t19 (=> @t185 (tptp.subset @t224 @t11)))) % 1.74/1.91 (assume @p640 (forall @t19 (=> @t185 (tptp.subset @t787 @t275)))) % 1.74/1.91 (assume @p641 (forall @t75 (=> @t187 (and (tptp.subset @t719 @t764) (tptp.subset (tptp.cartesian_product2 @t69 @t1) (tptp.cartesian_product2 @t69 @t11)))))) % 1.74/1.91 (assume @p642 (forall @t19 (=> @t185 (= @t787 (tptp.set_intersection2 @t275 @t1))))) % 1.74/1.91 (assume @p643 (forall @t273 (=> (and @t187 @t313) (tptp.subset @t719 (tptp.cartesian_product2 @t11 @t177))))) % 1.74/1.91 (assume @p644 (forall @t19 (=> @t415 (=> @t325 (= @t788 (tptp.subset_complement @t1 @t486)))))) % 1.74/1.91 (assume @p645 (forall @t19 (=> @t792 (= @t789 (forall @t182 (=> (and @t313 (tptp.subset @t177 @t1) @t299) @t202)))))) % 1.74/1.91 (assume @p646 @t797) % 1.74/1.91 (assume @p647 (forall @t75 (=> @t283 (and (tptp.subset @t377 @t1) (tptp.subset @t376 @t11))))) % 1.74/1.91 (assume @p648 (forall @t19 (=> @t415 (=> @t325 (= @t798 (tptp.subset_complement @t1 @t490)))))) % 1.74/1.91 (assume @p649 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t140 (=> @t399 (= @t799 (tptp.a_3_0_waybel_9 @t1 @t11 @t69))))))))) % 1.74/1.91 (assume @p650 (forall @t19 (=> @t187 (= @t162 @t11)))) % 1.74/1.91 (assume @p651 (forall @t6 (exists @t27 (and @t22 @t801 (forall @t140 (=> @t299 (tptp.in @t729 @t11))) @t800)))) % 1.74/1.91 (assume @p652 (forall @t6 (=> @t267 (= @t351 (forall @t27 (=> @t298 (not (and (tptp.centered @t11) @t336 (= @t802 tptp.empty_set))))))))) % 1.74/1.91 (assume @p653 (forall @t19 (=> (and @t187 @t114) @t65))) % 1.74/1.91 (assume @p654 (forall @t6 (=> @t17 (forall @t27 (=> @t298 (= (tptp.finite @t678) @t114)))))) % 1.74/1.91 (assume @p655 (forall @t75 (=> @t95 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t69) @t11) (tptp.relation_rng_restriction @t1 @t803))))) % 1.74/1.91 (assume @p656 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_image @t69 @t11)) (exists @t192 (and (tptp.in @t177 @t377) (tptp.in (tptp.ordered_pair @t177 @t1) @t69) @t202)))))) % 1.74/1.91 (assume @p657 (forall @t19 (=> @t185 (tptp.subset @t804 @t275)))) % 1.74/1.91 (assume @p658 (forall @t19 (=> @t597 (tptp.subset @t806 @t1)))) % 1.74/1.91 (assume @p659 (forall @t19 (=> @t185 (= @t804 (tptp.relation_image @t11 @t807))))) % 1.74/1.91 (assume @p660 (forall @t19 (=> @t185 (=> (tptp.subset @t1 @t274) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t804)))))) % 1.74/1.91 (assume @p661 (forall @t6 (=> @t93 (= (tptp.relation_image @t1 @t218) @t382)))) % 1.74/1.91 (assume @p662 (forall @t19 (=> @t597 (=> @t808 (= @t806 @t1))))) % 1.74/1.91 (assume @p663 (forall @t273 (=> @t811 (=> (tptp.subset @t810 @t11) @t809)))) % 1.74/1.91 (assume @p664 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= (tptp.subset_intersection2 @t3 @t11 @t357) @t11)))))) % 1.74/1.91 (assume @p665 (forall @t6 (=> @t812 (forall @t27 (= @t409 (exists @t140 (and @t157 @t408 @t407))))))) % 1.74/1.91 (assume @p666 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (= @t813 (tptp.relation_image @t11 @t382))))))) % 1.74/1.91 (assume @p667 (forall @t75 (=> @t95 (= (tptp.in @t1 @t814) (exists @t192 (and (tptp.in @t177 @t376) (tptp.in (tptp.ordered_pair @t1 @t177) @t69) @t202)))))) % 1.74/1.91 (assume @p668 (forall @t19 (=> @t185 (tptp.subset @t805 @t274)))) % 1.74/1.91 (assume @p669 (forall @t273 (=> @t811 (=> @t187 @t809)))) % 1.74/1.91 (assume @p670 (forall @t6 (=> @t103 (forall @t27 (=> @t298 (= @t336 (tptp.open_subsets @t678 @t1))))))) % 1.74/1.91 (assume @p671 (forall @t6 (=> @t215 (forall @t27 (=> (and @t213 @t245 @t16) (forall @t140 (=> @t399 (forall @t192 (=> @t210 (forall @t209 (=> (tptp.element @t199 @t799) (=> @t661 (= (tptp.apply_netmap @t1 @t11 @t177) (tptp.apply_netmap @t1 @t398 @t199)))))))))))))) % 1.74/1.91 (assume @p672 (forall @t75 (=> @t95 (= (tptp.in @t1 @t815) (and @t637 (tptp.in @t1 @t393)))))) % 1.74/1.91 (assume @p673 (forall @t6 (=> @t812 (forall @t27 (= @t196 (exists @t140 (and @t157 @t194 @t193))))))) % 1.74/1.91 (assume @p674 (forall @t19 (=> @t185 (not (and @t304 @t808 (= @t805 tptp.empty_set)))))) % 1.74/1.91 (assume @p675 (forall @t75 (=> @t95 (=> @t187 (tptp.subset (tptp.relation_inverse_image @t69 @t1) @t814))))) % 1.74/1.91 (assume @p676 (forall @t19 (=> @t597 (=> @t65 (tptp.finite @t804))))) % 1.74/1.91 (assume @p677 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= @t306 @t392)))))) % 1.74/1.91 (assume @p678 (forall @t6 (=> @t103 (forall @t27 (=> @t298 (= @t309 (tptp.closed_subsets @t678 @t1))))))) % 1.74/1.91 (assume @p679 (forall @t19 (=> @t185 (= @t816 (tptp.relation_dom_restriction @t224 @t1))))) % 1.74/1.91 (assume @p680 (forall @t19 (tptp.subset @t167 @t1))) % 1.74/1.91 (assume @p681 (forall @t6 (=> @t65 (forall @t27 (=> @t415 (not (and @t325 (forall @t140 (not (and @t299 (forall @t192 (=> (and @t202 @t313) @t405)))))))))))) % 1.74/1.91 (assume @p682 (forall @t19 (=> @t185 (= @t816 (tptp.relation_rng_restriction @t1 @t817))))) % 1.74/1.91 (assume @p683 (forall @t6 (= (tptp.bottom_of_relstr @t343) tptp.empty_set))) % 1.74/1.91 (assume @p684 (forall @t75 (=> @t95 (=> (tptp.in @t1 (tptp.relation_field @t815)) (and @t819 @t22))))) % 1.74/1.91 (assume @p685 (forall @t75 (=> (and @t187 @t820) (tptp.subset @t1 @t650)))) % 1.74/1.91 (assume @p686 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t419 (tptp.subset @t229 @t14)))))))) % 1.74/1.91 (assume @p687 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.74/1.91 (assume @p688 (forall @t19 (=> @t823 (forall @t140 (=> @t822 (and (= (tptp.join @t285 @t11 @t69) @t649) (= (tptp.meet @t285 @t11 @t69) @t650))))))) % 1.74/1.91 (assume @p689 (forall @t19 (=> @t22 @t824))) % 1.74/1.91 (assume @p690 (forall @t6 (=> (and @t33 @t41 @t5) (forall @t27 (=> @t102 (= (and @t141 @t107) (forall @t140 (=> (and @t347 @t734) (exists @t192 (and @t191 @t202 @t825)))))))))) % 1.74/1.91 (assume @p691 (forall @t75 (=> (and @t187 @t711) @t820))) % 1.74/1.91 (assume @p692 (forall @t6 (and (= (tptp.the_carrier @t318) @t1) (= (tptp.the_InternalRel @t318) @t317)))) % 1.74/1.91 (assume @p693 (= @t712 (tptp.singleton tptp.empty_set))) % 1.74/1.91 (assume @p694 (forall @t75 (=> @t95 (=> @t827 (and @t826 (tptp.in @t11 @t376)))))) % 1.74/1.91 (assume @p695 (forall @t19 (=> @t185 (and (tptp.subset @t828 @t314) (tptp.subset @t828 @t1))))) % 1.74/1.91 (assume @p696 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t419 (forall @t192 (=> @t210 (forall @t209 (=> @t208 (forall @t235 (=> @t234 (forall @t233 (=> @t232 (=> (and @t723 @t770 @t231) @t207)))))))))))))))) % 1.74/1.91 (assume @p697 (forall @t19 (=> @t597 (forall @t140 (=> @t403 (= @t831 (and @t826 (tptp.in @t829 @t274)))))))) % 1.74/1.91 (assume @p698 (forall @t273 (=> @t833 (forall @t209 (=> (and (tptp.relation @t199) @t496) (=> @t179 (or @t281 (= (tptp.apply @t652 @t69) (tptp.apply @t199 @t832))))))))) % 1.74/1.91 (assume @p699 (forall @t6 (=> @t90 (forall @t27 (=> @t61 (=> @t24 @t22)))))) % 1.74/1.91 (assume @p700 (forall @t6 (=> @t93 (tptp.subset @t1 (tptp.cartesian_product2 @t218 @t382))))) % 1.74/1.91 (assume @p701 (forall @t75 (=> @t95 (tptp.subset (tptp.fiber (tptp.relation_restriction @t69 @t1) @t11) (tptp.fiber @t69 @t11))))) % 1.74/1.91 (assume @p702 (forall @t6 (=> @t17 (forall @t27 (=> @t214 (forall @t140 (=> (and @t243 @t425 @t419) (forall @t192 (=> @t210 (forall @t209 (=> @t208 (forall @t235 (=> @t234 (forall @t233 (=> @t232 (=> (and @t723 @t770 @t207) @t231)))))))))))))))) % 1.74/1.91 (assume @p703 (forall @t19 (=> @t597 (forall @t140 (=> @t403 (=> @t831 (= (tptp.apply @t830 @t1) (tptp.apply @t11 @t829)))))))) % 1.74/1.91 (assume @p704 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= (tptp.subset_difference @t3 @t357 @t392) @t11)))))) % 1.74/1.91 (assume @p705 (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))))) % 1.74/1.91 (assume @p706 (forall @t19 (=> @t185 (=> @t135 (tptp.reflexive @t816))))) % 1.74/1.91 (assume @p707 (forall @t19 (=> @t597 (forall @t140 (=> @t403 (=> (tptp.in @t1 @t274) (= (tptp.apply (tptp.relation_composition @t11 @t69) @t1) (tptp.apply @t69 (tptp.apply @t11 @t1))))))))) % 1.74/1.91 (assume @p708 (forall @t6 (=> (and @t33 @t83 @t81 @t10) (forall @t27 (=> @t158 (forall @t140 (=> @t157 (tptp.below @t1 @t168 @t11)))))))) % 1.74/1.91 (assume @p709 (forall @t19 (=> @t61 (=> @t22 @t64)))) % 1.74/1.91 (assume @p710 (forall @t75 (=> @t283 (= (forall @t192 (not (and @t202 (forall @t209 (not (tptp.in @t256 @t69)))))) (= @t485 @t11))))) % 1.74/1.91 (assume @p711 (forall @t19 (=> @t185 (=> @t834 (tptp.connected @t816))))) % 1.74/1.91 (assume @p712 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (not (and @t630 @t417 @t21))))))) % 1.74/1.91 (assume @p713 (forall @t19 (=> @t185 (=> @t588 (tptp.transitive @t816))))) % 1.74/1.91 (assume @p714 (forall @t6 (=> @t812 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (=> (and @t341 (tptp.related @t1 @t69 @t11)) @t289)))))))) % 1.74/1.91 (assume @p715 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (=> @t187 (and (tptp.subset @t218 @t274) (tptp.subset @t382 @t275)))))))) % 1.74/1.91 (assume @p716 (forall @t19 (=> @t185 (=> @t589 (tptp.antisymmetric @t816))))) % 1.74/1.91 (assume @p717 (forall @t19 (=> @t185 (=> @t837 (and @t836 @t835))))) % 1.74/1.91 (assume @p718 (forall @t6 (=> @t222 (=> (tptp.finite @t218) (tptp.finite @t382))))) % 1.74/1.91 (assume @p719 (forall @t6 (=> @t576 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (=> (and @t353 (tptp.below @t1 @t69 @t11)) @t289)))))))) % 1.74/1.91 (assume @p720 (forall @t6 (=> @t154 @t342))) % 1.74/1.91 (assume @p721 (forall @t6 (exists @t27 (and @t185 @t837)))) % 1.74/1.91 (assume @p722 (forall @t75 (=> @t187 (tptp.subset (tptp.set_intersection2 @t1 @t69) @t650)))) % 1.74/1.91 (assume @p723 (forall @t19 (=> @t606 (forall @t140 (=> @t399 (= (tptp.latt_set_smaller @t11 @t69 @t1) (tptp.relstr_element_smaller @t839 @t1 @t838))))))) % 1.74/1.91 (assume @p724 (forall @t6 (=> @t148 (not (and (forall @t27 (not (and @t20 @t281))) (forall @t27 (=> @t597 (not (and @t779 (forall @t140 (=> @t179 (tptp.in @t778 @t69)))))))))))) % 1.74/1.91 (assume @p725 (forall @t19 (=> @t187 (= @t167 @t1)))) % 1.74/1.91 (assume @p726 (forall @t6 (=> @t215 (forall @t27 (=> @t246 (forall @t140 (=> @t211 @t227))))))) % 1.74/1.91 (assume @p727 (forall @t19 (=> @t606 (forall @t140 (=> @t841 (= (tptp.relstr_element_smaller @t839 @t1 @t69) (tptp.latt_set_smaller @t11 @t840 @t1))))))) % 1.74/1.91 (assume @p728 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t98 @t590)))))) % 1.74/1.91 (assume @p729 (forall @t6 (=> @t267 (forall @t27 (=> @t246 (forall @t140 (=> @t157 (=> (tptp.in @t69 @t266) @t423)))))))) % 1.74/1.91 (assume @p730 (forall @t6 (=> @t322 (forall @t27 (and (= @t321 (tptp.join_on_relstr @t327 @t11)) (= @t323 (tptp.meet_on_relstr @t327 @t11))))))) % 1.74/1.91 (assume @p731 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.74/1.91 (assume @p732 (forall @t19 (=> @t823 (forall @t140 (=> @t822 (= (tptp.below @t285 @t11 @t69) @t711)))))) % 1.74/1.91 (assume @p733 (forall @t19 (=> @t824 (or @t100 @t22)))) % 1.74/1.91 (assume @p734 (forall @t19 (=> (forall @t140 (= @t179 @t299)) @t188))) % 1.74/1.91 (assume @p735 (forall @t6 (tptp.reflexive @t315))) % 1.74/1.91 (assume @p736 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 1.74/1.91 (assume @p737 (forall @t6 (=> @t148 (forall @t27 (=> (and @t141 (tptp.filtered_subset @t11 @t343) @t789 (tptp.proper_element @t11 @t791) @t792) (forall @t140 (not (and @t299 @t147)))))))) % 1.74/1.91 (assume @p738 (forall @t19 (=> (tptp.element @t11 @t790) (forall @t140 (=> (tptp.element @t69 @t790) (= (tptp.related_reflexive @t343 @t11 @t69) @t711)))))) % 1.74/1.91 (assume @p739 (forall @t19 (=> @t606 (forall @t140 (=> @t399 (= (tptp.latt_element_smaller @t11 @t69 @t1) (tptp.relstr_set_smaller @t839 @t1 @t838))))))) % 1.74/1.91 (assume @p740 (forall @t75 (=> @t95 (=> @t827 (and @t819 (tptp.in @t11 @t818)))))) % 1.74/1.91 (assume @p741 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t99 @t595)))))) % 1.74/1.91 (assume @p742 (forall @t6 (=> @t812 (forall @t27 (=> @t158 (forall @t140 (and (=> @t842 @t843) (=> @t843 @t842)))))))) % 1.74/1.91 (assume @p743 (forall @t6 (=> @t215 (forall @t27 (=> @t246 (forall @t140 (=> @t227 (and (not (tptp.empty_carrier @t259)) (tptp.directed_relstr @t259))))))))) % 1.74/1.91 (assume @p744 (forall @t19 (=> @t606 (forall @t140 (=> @t841 (= (tptp.relstr_set_smaller @t839 @t1 @t69) (tptp.latt_element_smaller @t11 @t840 @t1))))))) % 1.74/1.91 (assume @p745 (forall @t6 (=> (forall @t27 (=> @t20 (and @t61 @t186))) @t64))) % 1.74/1.91 (assume @p746 (forall @t19 (=> @t185 (=> @t844 (tptp.well_founded_relation @t816))))) % 1.74/1.91 (assume @p747 (forall @t6 (=> @t215 (forall @t27 (=> @t246 (forall @t140 (=> @t227 (tptp.subnet @t259 @t1 @t11)))))))) % 1.74/1.91 (assume @p748 (forall @t6 (=> @t328 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t69) @t410) @t653)))))))) % 1.74/1.91 (assume @p749 (forall @t19 (=> @t61 (not (and @t187 @t304 (forall @t140 (=> @t688 (not (and @t179 (forall @t192 (=> @t695 (=> @t303 (tptp.ordinal_subset @t69 @t177))))))))))))) % 1.74/1.91 (assume @p750 (forall @t19 (=> @t185 (=> @t631 @t835)))) % 1.74/1.91 (assume @p751 (forall @t6 (=> @t215 (forall @t27 (=> @t246 (forall @t182 (=> (tptp.subnet @t177 @t1 @t11) (=> @t260 (tptp.is_eventually_in @t1 @t177 @t69))))))))) % 1.74/1.91 (assume @p752 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (= @t22 (tptp.ordinal_subset @t293 @t11))))))) % 1.74/1.91 (assume @p753 (forall @t75 (=> @t187 (tptp.subset (tptp.set_difference @t1 @t69) @t651)))) % 1.74/1.91 (assume @p754 (forall @t273 (=> (= @t386 @t180) @t623))) % 1.74/1.91 (assume @p755 (forall @t19 (=> @t597 (= @t184 (and @t779 (forall @t140 (=> @t179 (= @t778 @t69)))))))) % 1.74/1.91 (assume @p756 (forall @t6 (=> @t322 (forall @t27 (=> @t158 (forall @t140 (= (= @t11 (tptp.meet_of_latt_set @t1 @t69)) (and @t263 (forall @t192 (=> @t191 (=> (tptp.latt_set_smaller @t1 @t177 @t69) (tptp.below_refl @t1 @t177 @t11)))))))))))) % 1.74/1.91 (assume @p757 (forall @t19 (=> @t20 (= (tptp.apply @t183 @t11) @t11)))) % 1.74/1.91 (assume @p758 (forall @t19 (tptp.subset @t380 @t1))) % 1.74/1.91 (assume @p759 (forall @t6 (=> @t93 (and (= @t382 (tptp.relation_dom @t395)) (= @t218 (tptp.relation_rng @t395)))))) % 1.74/1.91 (assume @p760 (forall @t75 (= (tptp.subset @t160 @t69) (and @t637 @t356)))) % 1.74/1.91 (assume @p761 (forall @t19 (=> @t185 (=> (and @t631 (tptp.subset @t1 @t314)) @t836)))) % 1.74/1.91 (assume @p762 (forall @t19 (= @t845 @t162))) % 1.74/1.91 (assume @p763 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.74/1.91 (assume @p764 (forall @t6 (and @t532 (= (tptp.bottom_of_semilattstr @t285) tptp.empty_set)))) % 1.74/1.91 (assume @p765 (forall @t75 (not (and @t22 @t356 @t179)))) % 1.74/1.91 (assume @p766 (forall @t19 (= @t638 @t187))) % 1.74/1.91 (assume @p767 (forall @t6 (tptp.transitive @t315))) % 1.74/1.91 (assume @p768 (forall @t19 (and (not (and @t847 (forall @t140 (not @t846)))) (not (and (exists @t140 @t846) @t404))))) % 1.74/1.91 (assume @p769 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t280))) % 1.74/1.91 (assume @p770 (forall @t6 (=> @t267 (forall @t27 (=> @t158 (forall @t140 (= (tptp.in @t69 @t316) @t270))))))) % 1.74/1.91 (assume @p771 (forall @t19 (= (tptp.set_difference @t162 @t11) @t380))) % 1.74/1.91 (assume @p772 (forall @t6 (=> @t64 (= @t384 (forall @t27 (=> @t61 (=> @t20 (tptp.in @t769 @t1)))))))) % 1.74/1.91 (assume @p773 (forall @t6 (=> @t267 (forall @t27 (=> @t246 (forall @t140 (=> @t238 (tptp.subset @t266 (tptp.lim_points_of_net @t1 @t69))))))))) % 1.74/1.91 (assume @p774 (forall @t6 (=> @t64 (and (not (and (not @t384) (forall @t27 (=> @t61 (not @t848))))) (not (and (exists @t27 (and @t61 @t848)) @t384)))))) % 1.74/1.91 (assume @p775 (forall @t6 (=> @t849 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 1.74/1.91 (assume @p776 (forall @t19 (=> @t57 (forall @t140 (=> @t172 (= @t851 (tptp.subset @t11 @t850))))))) % 1.74/1.91 (assume @p777 (forall @t6 (=> @t105 (forall @t27 (=> @t298 (=> @t335 (tptp.closed_subset @t802 @t1))))))) % 1.74/1.91 (assume @p778 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (tptp.subset @t852 @t218)))))) % 1.74/1.91 (assume @p779 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (tptp.subset @t307 @t11)))))) % 1.74/1.91 (assume @p780 (forall @t6 (=> @t849 (forall @t27 (=> @t158 (tptp.related @t1 @t216 @t11)))))) % 1.74/1.91 (assume @p781 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (forall @t140 (=> (tptp.in @t69 @t3) (= @t854 (forall @t192 (=> @t387 (=> @t853 @t302))))))))))) % 1.74/1.91 (assume @p782 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (tptp.subset @t813 @t275)))))) % 1.74/1.91 (assume @p783 (forall @t19 (=> @t187 (= @t11 @t845)))) % 1.74/1.91 (assume @p784 (forall @t273 (=> @t833 (=> @t325 (forall @t209 (= (tptp.in @t199 (tptp.relation_inverse_image @t177 @t69)) (and @t223 (tptp.in (tptp.apply @t177 @t199) @t69)))))))) % 1.74/1.91 (assume @p785 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (exists @t140 (and @t349 (forall @t192 (=> @t387 (= @t219 @t853))) (= @t254 (tptp.meet_of_subsets @t3 @t69))))))))) % 1.74/1.91 (assume @p786 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (=> (tptp.subset @t382 @t274) (= @t852 @t218))))))) % 1.74/1.91 (assume @p787 (forall @t19 (=> @t415 @t785))) % 1.74/1.91 (assume @p788 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (=> (tptp.subset @t218 @t275) (= (tptp.relation_rng @t516) @t382))))))) % 1.74/1.91 (assume @p789 (forall @t19 (=> @t415 (=> @t325 (= (tptp.subset_difference @t1 @t374 @t486) @t788))))) % 1.74/1.91 (assume @p790 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (tptp.subset @t11 @t254)))))) % 1.74/1.91 (assume @p791 (forall @t19 (=> @t415 (=> @t325 (= @t798 (tptp.subset_difference @t1 @t374 @t490)))))) % 1.74/1.91 (assume @p792 (forall @t19 (= (tptp.set_difference @t1 @t380) @t167))) % 1.74/1.91 (assume @p793 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t403 (=> @t402 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t69)))))))))) % 1.74/1.91 (assume @p794 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.74/1.91 (assume @p795 (forall @t75 (=> (and @t22 @t855) (tptp.element @t1 @t69)))) % 1.74/1.91 (assume @p796 (forall @t6 (= @t790 @t56))) % 1.74/1.91 (assume @p797 (forall @t6 (=> @t64 (tptp.connected @t315)))) % 1.74/1.91 (assume @p798 (forall @t19 (and (not (and @t847 (forall @t140 (not @t856)))) (not (and (exists @t140 @t856) @t404))))) % 1.74/1.91 (assume @p799 (forall @t6 (=> @t267 (forall @t27 (=> @t158 (forall @t140 (=> (and (tptp.upper_relstr_subset @t69 @t458) (tptp.element @t69 @t459)) (= (tptp.is_a_convergence_point_of_set @t1 @t69 @t11) (tptp.subset @t316 @t69))))))))) % 1.74/1.91 (assume @p800 (forall @t6 (= @t343 (tptp.incl_POSet @t56)))) % 1.74/1.91 (assume @p801 (forall @t6 (=> @t322 (and @t33 @t79 @t78 @t10 (= @t265 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 1.74/1.91 (assume @p802 (forall @t6 (=> @t304 (forall @t27 (=> @t57 (forall @t140 (=> @t447 (=> @t354 (tptp.in @t69 @t385))))))))) % 1.74/1.91 (assume @p803 (forall @t6 (=> @t105 (forall @t27 (=> @t102 @t605))))) % 1.74/1.91 (assume @p804 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (and (=> @t98 @t857) (=> (and @t104 @t857) @t98))))))) % 1.74/1.91 (assume @p805 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t403 (=> @t402 (and (=> @t92 @t135) (=> @t94 @t588) (=> @t262 @t834) (=> @t226 @t589) (=> @t337 @t844)))))))))) % 1.74/1.91 (assume @p806 (forall @t6 (=> @t222 (=> @t115 (forall @t27 (=> @t597 (= (= @t11 @t420) (and (= @t274 @t382) (forall @t182 (and (=> @t858 @t381) (=> @t381 @t858))))))))))) % 1.74/1.91 (assume @p807 (forall @t75 (=> @t172 (not (and (tptp.in @t11 @t850) @t356))))) % 1.74/1.91 (assume @p808 (forall @t6 (=> @t93 (forall @t27 (=> @t185 (forall @t140 (=> @t403 (=> (and @t375 @t402) @t631)))))))) % 1.74/1.91 (assume @p809 (forall @t6 (=> @t222 (=> @t115 (and (= @t382 (tptp.relation_dom @t420)) (= @t218 (tptp.relation_rng @t420))))))) % 1.74/1.91 (assume @p810 (forall @t6 (=> @t105 (forall @t27 (=> @t608 (forall @t140 (=> @t255 (forall @t192 (=> @t611 (and (=> (tptp.open_subset @t177 @t11) (= (tptp.interior @t11 @t177) @t177)) (=> (= @t269 @t69) @t308))))))))))) % 1.74/1.91 (assume @p811 (forall @t6 (=> @t93 (=> (forall @t197 @t634) @t280)))) % 1.74/1.91 (assume @p812 (forall @t19 (=> @t597 (=> (and @t133 (tptp.in @t1 @t275)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t859 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t859 @t11) @t1))))))) % 1.74/1.91 (assume @p813 (forall @t6 (=> @t267 (forall @t27 (=> @t102 (forall @t140 (=> @t157 (=> (and @t99 @t299) (tptp.point_neighbourhood @t11 @t1 @t69))))))))) % 1.74/1.91 (assume @p814 (forall @t75 (not (and @t22 @t855 @t147)))) % 1.74/1.91 (assume @p815 (forall @t19 (=> @t57 (= @t645 (not (= @t11 @t1)))))) % 1.74/1.91 (assume @p816 (forall @t6 (=> @t215 (forall @t27 (=> @t298 (not (and @t350 @t281))))))) % 1.74/1.91 (assume @p817 (forall @t6 (=> @t93 (= @t337 (tptp.is_well_founded_in @t1 @t225))))) % 1.74/1.91 (assume @p818 (forall @t6 (tptp.antisymmetric @t315))) % 1.74/1.91 (assume @p819 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.74/1.91 (assume @p820 (forall @t19 (not (and @t187 @t23)))) % 1.74/1.91 (assume @p821 (forall @t6 (=> @t5 (forall @t27 (=> @t153 (forall @t140 (=> @t157 (forall @t192 (=> @t191 (forall @t209 (=> @t208 (forall @t235 (=> @t397 (=> (and @t271 @t747 @t860) @t319)))))))))))))) % 1.74/1.91 (assume @p822 (forall @t6 (=> @t5 (forall @t27 (=> (and @t151 @t153) (forall @t140 (=> @t157 (forall @t192 (=> @t191 (forall @t209 (=> @t208 (forall @t235 (=> @t397 (=> (and @t271 @t747 @t319 (tptp.in @t199 @t14) (tptp.in @t230 @t14)) @t860)))))))))))))) % 1.74/1.91 (assume @p823 (forall @t6 (=> @t222 (=> @t115 (tptp.one_to_one @t420))))) % 1.74/1.91 (assume @p824 (forall @t75 (=> (and @t187 @t851) (tptp.disjoint @t1 @t69)))) % 1.74/1.91 (assume @p825 (forall @t6 (=> @t93 (=> (or @t862 @t861) @t280)))) % 1.74/1.91 (assume @p826 (forall @t6 (=> @t93 (= @t862 @t861)))) % 1.74/1.91 (assume @p827 (forall @t19 (= (= (tptp.set_difference @t1 @t635) @t1) @t21))) % 1.74/1.91 (assume @p828 (forall @t19 (=> @t597 (forall @t140 (=> @t403 (= (= @t11 @t639) (and (= @t274 (tptp.set_intersection2 @t377 @t1)) (forall @t192 (=> (tptp.in @t177 @t274) (= (tptp.apply @t11 @t177) @t401)))))))))) % 1.74/1.91 (assume @p829 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t292))) % 1.74/1.91 (assume @p830 (forall @t6 (=> @t54 @t280))) % 1.74/1.91 (assume @p831 (forall @t273 (=> @t833 (=> @t179 (or @t281 (tptp.in @t832 @t810)))))) % 1.74/1.91 (assume @p832 (forall @t6 (=> @t64 (tptp.well_founded_relation @t315)))) % 1.74/1.91 (assume @p833 (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))))))) % 1.74/1.91 (assume @p834 (forall @t6 (=> @t267 (forall @t27 (=> @t102 (forall @t140 (=> @t157 (= @t854 (forall @t192 (=> @t422 (not (tptp.disjoint @t177 @t11)))))))))))) % 1.74/1.91 (assume @p835 (forall @t19 (=> (tptp.subset @t292 @t635) @t188))) % 1.74/1.91 (assume @p836 (forall @t75 (=> @t403 (=> @t640 @t863)))) % 1.74/1.91 (assume @p837 (forall @t6 (and (= (tptp.relation_dom @t183) @t1) (= (tptp.relation_rng @t183) @t1)))) % 1.74/1.91 (assume @p838 (forall @t75 (=> @t403 (=> @t20 @t863)))) % 1.74/1.91 (assume @p839 (forall @t273 (=> @t715 (= (tptp.in @t386 (tptp.relation_composition (tptp.identity_relation @t69) @t177)) (and @t637 (tptp.in @t386 @t177)))))) % 1.74/1.91 (assume @p840 (forall @t19 (not (and @t22 @t100)))) % 1.74/1.91 (assume @p841 (forall @t6 (=> @t328 (forall @t27 (=> @t158 (forall @t140 (=> @t157 (= @t653 (tptp.related_reflexive @t327 @t352 (tptp.cast_to_el_of_LattPOSet @t1 @t69)))))))))) % 1.74/1.91 (assume @p842 (forall @t19 (and (= (tptp.pair_first @t386) @t1) (= (tptp.pair_second @t386) @t11)))) % 1.74/1.91 (assume @p843 (forall @t19 (not (and @t22 (forall @t140 (not (and @t299 (forall @t192 (not (and @t202 @t219)))))))))) % 1.74/1.91 (assume @p844 (forall @t6 (=> @t64 (tptp.well_ordering @t315)))) % 1.74/1.91 (assume @p845 (forall @t19 (tptp.subset @t1 @t162))) % 1.74/1.91 (assume @p846 (forall @t19 (= @t404 (= @t380 @t1)))) % 1.74/1.91 (assume @p847 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_dom @t803)) (and @t22 @t826))))) % 1.74/1.91 (assume @p848 (forall @t19 (=> @t185 (tptp.subset @t817 @t11)))) % 1.74/1.91 (assume @p849 (forall @t19 (not (and @t54 @t417 @t100)))) % 1.74/1.91 (assume @p850 (forall @t75 (=> @t403 (= @t827 (and @t826 (= @t11 @t829)))))) % 1.74/1.91 (assume @p851 (forall @t6 (=> @t215 (forall @t27 (=> @t214 (forall @t182 (=> @t313 (and (=> @t211 (tptp.is_eventually_in @t1 @t11 @t177)) (=> @t227 @t421))))))))) % 1.74/1.91 (assume @p852 (forall @t6 (=> (and @t33 @t31 @t41 @t40 @t46 @t5) (forall @t27 (=> (and @t141 @t106 @t320 @t102) (= @t646 (not (tptp.in @t216 @t11)))))))) % 1.74/1.91 (assume @p853 (forall @t6 (=> @t93 (= (tptp.well_orders @t1 @t225) @t375)))) % 1.74/1.91 (assume @p854 (forall @t75 (=> (and @t187 @t348) (tptp.subset (tptp.set_union2 @t1 @t69) @t11)))) % 1.74/1.91 (assume @p855 (forall @t75 (=> @t864 @t188))) % 1.74/1.91 (assume @p856 (forall @t19 (=> @t185 (= (tptp.relation_dom @t817) @t807)))) % 1.74/1.91 (assume @p857 (forall @t6 (=> @t215 (forall @t27 (=> @t158 (= (tptp.apply_as_element @t3 @t3 @t198 @t11) @t11)))))) % 1.74/1.91 (assume @p858 (forall @t19 (=> @t185 (= @t817 (tptp.relation_composition @t183 @t11))))) % 1.74/1.91 (assume @p859 (forall @t19 (=> @t185 (tptp.subset (tptp.relation_rng @t817) @t275)))) % 1.74/1.91 (assume @p860 (forall @t6 (= (tptp.union @t56) @t1))) % 1.74/1.91 (assume @p861 (forall @t273 (=> @t833 (=> @t711 (or (and @t281 @t304) (and @t237 (tptp.quasi_total @t177 @t1 @t69) (tptp.relation_of2_as_subset @t177 @t1 @t69))))))) % 1.74/1.91 (assume @p862 (forall @t6 (exists @t27 (and @t22 @t801 (forall @t140 (not (and @t299 (forall @t192 (not (and @t202 (forall @t209 (=> (tptp.subset @t199 @t69) @t272)))))))) @t800)))) % 1.74/1.91 (assume @p863 (forall @t6 (=> @t215 (forall @t27 (=> @t246 (forall @t140 (=> @t339 @t211))))))) % 1.74/1.91 (assume @p864 (forall @t75 (=> @t864 @t289))) % 1.74/1.91 (step @p865 :rule aci_norm :args ((= @t871 (or @t32 @t869 @t868 @t867 @t866)))) % 1.74/1.91 (step @p866 :rule cong :premises (@p865) :args (@t872)) % 1.74/1.91 (step @p867 :rule quant-merge-prenex :args ((= (forall @t6 @t874) @t872))) % 1.74/1.91 (step @p868 :rule alpha_equiv :args (@t875 (@list @t865) (@list @t11))) % 1.74/1.91 (step @p869 :rule refl :args (@t869)) % 1.74/1.91 (step @p870 :rule refl :args (@t32)) % 1.74/1.91 (step @p871 :rule nary_cong :premises (@p870 @p869 @p868) :args (@t876)) % 1.74/1.91 (step @p872 :rule quant-miniscope-or :args ((= @t874 @t876))) % 1.74/1.91 (step @p873 :rule trans :premises (@p872 @p871)) % 1.74/1.91 (step @p874 :rule symm :premises (@p873)) % 1.74/1.91 (step @p875 :rule cong :premises (@p874) :args ((forall @t6 @t880))) % 1.74/1.91 (step @p876 :rule trans :premises (@p875 @p867)) % 1.74/1.91 (step @p877 :rule trans :premises (@p876 @p866)) % 1.74/1.91 (step @p878 :rule aci_norm :args ((= (or @t881 @t879) @t880))) % 1.74/1.91 (step @p879 :rule refl :args (@t879)) % 1.74/1.91 (step @p880 :rule bool-double-not-elim :args (@t32)) % 1.74/1.91 (step @p881 :rule nary_cong :premises (@p880 @p869) :args ((or (not @t33) @t869))) % 1.74/1.91 (step @p882 :rule bool-and-de-morgan :args (@t33 @t17 true)) % 1.74/1.91 (step @p883 :rule trans :premises (@p882 @p881)) % 1.74/1.91 (step @p884 :rule nary_cong :premises (@p883 @p879) :args ((or @t882 @t879))) % 1.74/1.91 (step @p885 :rule trans :premises (@p884 @p878)) % 1.74/1.91 (step @p886 :rule bool-impl-elim :args (@t215 @t879)) % 1.74/1.91 (step @p887 :rule trans :premises (@p886 @p885)) % 1.74/1.91 (step @p888 :rule cong :premises (@p887) :args ((forall @t6 (=> @t215 @t879)))) % 1.74/1.91 (step @p889 :rule trans :premises (@p888 @p877)) % 1.74/1.91 (step @p890 :rule aci_norm :args ((= (or @t883 @t362) @t878))) % 1.74/1.91 (step @p891 :rule refl :args (@t362)) % 1.74/1.91 (step @p892 :rule refl :args (@t877)) % 1.74/1.91 (step @p893 :rule bool-double-not-elim :args (@t212)) % 1.74/1.91 (step @p894 :rule nary_cong :premises (@p893 @p892) :args ((or @t884 @t877))) % 1.74/1.91 (step @p895 :rule bool-and-de-morgan :args (@t213 @t16 true)) % 1.74/1.91 (step @p896 :rule trans :premises (@p895 @p894)) % 1.74/1.91 (step @p897 :rule nary_cong :premises (@p896 @p891) :args ((or @t885 @t362))) % 1.74/1.91 (step @p898 :rule trans :premises (@p897 @p890)) % 1.74/1.91 (step @p899 :rule bool-impl-elim :args (@t214 @t362)) % 1.74/1.91 (step @p900 :rule trans :premises (@p899 @p898)) % 1.74/1.91 (step @p901 :rule cong :premises (@p900) :args (@t363)) % 1.74/1.91 (step @p902 :rule refl :args (@t215)) % 1.74/1.91 (step @p903 :rule cong :premises (@p902 @p901) :args (@t364)) % 1.74/1.91 (step @p904 :rule cong :premises (@p903) :args (@t365)) % 1.74/1.91 (step @p905 :rule trans :premises (@p904 @p889)) % 1.74/1.91 (step @p906 :rule eq_resolve :premises (@p178 @p905)) % 1.74/1.91 (step @p907 :rule instantiate :premises (@p906) :args ((@list @t895 @t894))) % 1.74/1.91 (step @p908 :rule aci_norm :args ((= @t897 @t891))) % 1.74/1.91 (step @p909 :rule cong :premises (@p908) :args (@t898)) % 1.74/1.91 (step @p910 :rule quant-merge-prenex :args ((= (forall @t6 @t900) @t898))) % 1.74/1.91 (step @p911 :rule alpha_equiv :args (@t901 (@list @t887 @t886) (@list @t11 @t902))) % 1.74/1.91 (step @p912 :rule nary_cong :premises (@p870 @p869 @p911) :args (@t903)) % 1.74/1.91 (step @p913 :rule quant-miniscope-or :args ((= @t900 @t903))) % 1.74/1.91 (step @p914 :rule trans :premises (@p913 @p912)) % 1.74/1.91 (step @p915 :rule symm :premises (@p914)) % 1.74/1.91 (step @p916 :rule cong :premises (@p915) :args ((forall @t6 @t907))) % 1.74/1.91 (step @p917 :rule trans :premises (@p916 @p910)) % 1.74/1.91 (step @p918 :rule trans :premises (@p917 @p909)) % 1.74/1.91 (step @p919 :rule aci_norm :args ((= (or @t881 @t906) @t907))) % 1.74/1.91 (step @p920 :rule refl :args (@t906)) % 1.74/1.91 (step @p921 :rule nary_cong :premises (@p883 @p920) :args ((or @t882 @t906))) % 1.74/1.91 (step @p922 :rule trans :premises (@p921 @p919)) % 1.74/1.91 (step @p923 :rule bool-impl-elim :args (@t215 @t906)) % 1.74/1.91 (step @p924 :rule trans :premises (@p923 @p922)) % 1.74/1.91 (step @p925 :rule cong :premises (@p924) :args ((forall @t6 (=> @t215 @t906)))) % 1.74/1.91 (step @p926 :rule trans :premises (@p925 @p918)) % 1.74/1.91 (step @p927 :rule quant-merge-prenex :args ((= (forall @t27 @t909) @t906))) % 1.74/1.91 (step @p928 :rule alpha_equiv :args (@t910 (@list @t902) (@list @t69))) % 1.74/1.91 (step @p929 :rule refl :args (@t212)) % 1.74/1.91 (step @p930 :rule nary_cong :premises (@p929 @p892 @p928) :args (@t911)) % 1.74/1.91 (step @p931 :rule quant-miniscope-or :args ((= @t909 @t911))) % 1.74/1.91 (step @p932 :rule trans :premises (@p931 @p930)) % 1.74/1.91 (step @p933 :rule symm :premises (@p932)) % 1.74/1.91 (step @p934 :rule cong :premises (@p933) :args ((forall @t27 @t912))) % 1.74/1.91 (step @p935 :rule trans :premises (@p934 @p927)) % 1.74/1.91 (step @p936 :rule aci_norm :args ((= (or @t883 @t793) @t912))) % 1.74/1.91 (step @p937 :rule refl :args (@t793)) % 1.74/1.91 (step @p938 :rule nary_cong :premises (@p896 @p937) :args ((or @t885 @t793))) % 1.74/1.91 (step @p939 :rule trans :premises (@p938 @p936)) % 1.74/1.91 (step @p940 :rule bool-impl-elim :args (@t214 @t793)) % 1.74/1.91 (step @p941 :rule trans :premises (@p940 @p939)) % 1.74/1.91 (step @p942 :rule cong :premises (@p941) :args (@t794)) % 1.74/1.91 (step @p943 :rule trans :premises (@p942 @p935)) % 1.74/1.91 (step @p944 :rule cong :premises (@p902 @p943) :args (@t795)) % 1.74/1.91 (step @p945 :rule cong :premises (@p944) :args (@t796)) % 1.74/1.91 (step @p946 :rule trans :premises (@p945 @p926)) % 1.74/1.91 (step @p947 :rule cong :premises (@p946) :args (@t797)) % 1.74/1.91 (step @p948 :rule eq_resolve :premises (@p646 @p947)) % 1.74/1.91 (step @p949 :rule skolemize :premises (@p948)) % 1.74/1.91 (step @p950 :rule bool-double-not-elim :args (@t913)) % 1.74/1.91 (step @p951 :rule refl :args (@t926)) % 1.74/1.91 (step @p952 :rule nary_cong :premises (@p951 @p950) :args ((or @t926 (not @t921)))) % 1.74/1.91 (step @p953 :rule cnf_or_neg :args (@t926 3)) % 1.74/1.91 (step @p954 :rule eq_resolve :premises (@p953 @p952)) % 1.74/1.91 (step @p955 :rule reordering :premises (@p954) :args ((or @t913 @t926))) % 1.74/1.91 (step @p956 :rule chain_m_resolution :premises (@p955 @p949) :args (@t913 @t927 @t928)) % 1.74/1.91 (step @p957 :rule cnf_or_neg :args (@t926 2)) % 1.74/1.91 (step @p958 :rule chain_m_resolution :premises (@p957 @p949) :args ((not @t922) @t927 @t928)) % 1.74/1.91 (step @p959 :rule bool-double-not-elim :args (@t923)) % 1.74/1.91 (step @p960 :rule nary_cong :premises (@p951 @p959) :args ((or @t926 (not @t924)))) % 1.74/1.91 (step @p961 :rule cnf_or_neg :args (@t926 1)) % 1.74/1.91 (step @p962 :rule eq_resolve :premises (@p961 @p960)) % 1.74/1.91 (step @p963 :rule reordering :premises (@p962) :args ((or @t923 @t926))) % 1.74/1.91 (step @p964 :rule chain_m_resolution :premises (@p963 @p949) :args (@t923 @t927 @t928)) % 1.74/1.91 (step @p965 :rule cnf_or_neg :args (@t926 0)) % 1.74/1.91 (step @p966 :rule chain_m_resolution :premises (@p965 @p949) :args ((not @t925) @t927 @t928)) % 1.74/1.91 (step @p967 :rule cnf_or_pos :args (@t931)) % 1.74/1.91 (step @p968 :rule reordering :premises (@p967) :args ((or @t925 @t924 @t922 @t921 @t930 (not @t931)))) % 1.74/1.91 (step @p969 :rule chain_m_resolution :premises (@p968 @p966 @p964 @p958 @p956 @p907) :args (@t930 @t932 (@list @t925 @t923 @t922 @t913 @t931))) % 1.74/1.91 (step @p970 :rule cnf_or_neg :args (@t926 4)) % 1.74/1.91 (step @p971 :rule chain_m_resolution :premises (@p970 @p949) :args ((not @t920) @t927 @t928)) % 1.74/1.91 (step @p972 :rule cnf_equiv_neg2 :args (@t920)) % 1.74/1.91 (assume-push @p1113 @t919) % 1.74/1.91 (assume-push @p1114 @t930) % 1.74/1.91 (assume-push @p1115 @t919) % 1.74/1.91 (assume-push @p1116 @t930) % 1.74/1.91 (step @p977 :rule true_intro :premises (@p1113)) % 1.74/1.91 (step @p978 :rule symm :premises (@p969)) % 1.74/1.91 (step @p979 :rule refl :args (@t914)) % 1.74/1.91 (step @p980 :rule cong :premises (@p979 @p978) :args (@t933)) % 1.74/1.91 (step @p981 :rule trans :premises (@p980 @p977)) % 1.74/1.91 (step @p982 :rule true_elim :premises (@p981)) % 1.74/1.91 (step-pop @p1117 :rule scope :premises (@p982)) % 1.74/1.91 (step-pop @p1118 :rule scope :premises (@p1117)) % 1.74/1.91 (step @p983 :rule process_scope :premises (@p1118) :args (@t933)) % 1.74/1.91 (step @p986 :rule and_intro :premises (@p1113 @p969)) % 1.74/1.91 (step @p987 :rule modus_ponens :premises (@p986 @p983)) % 1.74/1.91 (step-pop @p1119 :rule scope :premises (@p987)) % 1.74/1.91 (step-pop @p1120 :rule scope :premises (@p1119)) % 1.74/1.91 (step @p988 :rule process_scope :premises (@p1120) :args (@t933)) % 1.74/1.91 (step @p991 :rule implies_elim :premises (@p988)) % 1.74/1.91 (step @p992 :rule cnf_and_neg :args (@t934)) % 1.74/1.91 (step @p993 :rule resolution :premises (@p992 @p991) :args (true @t934)) % 1.74/1.91 (step @p994 :rule reordering :premises (@p993) :args ((or @t936 @t933 @t935))) % 1.74/1.91 (step @p995 :rule aci_norm :args ((= (or (or @t212 @t941 @t242 @t940) @t939) (or @t212 @t941 @t242 @t940 @t939)))) % 1.74/1.91 (step @p996 :rule bool-double-not-elim :args (@t937)) % 1.74/1.91 (step @p997 :rule bool-double-not-elim :args (@t938)) % 1.74/1.91 (step @p998 :rule nary_cong :premises (@p997 @p996) :args ((and (not @t943) (not @t942)))) % 1.74/1.91 (step @p999 :rule bool-or-de-morgan :args (@t943 @t942 false)) % 1.74/1.91 (step @p1000 :rule trans :premises (@p999 @p998)) % 1.74/1.91 (step @p1001 :rule refl :args (@t614)) % 1.74/1.91 (step @p1002 :rule cong :premises (@p1001 @p1000) :args (@t945)) % 1.74/1.91 (step @p1003 :rule refl :args (@t940)) % 1.74/1.91 (step @p1004 :rule bool-double-not-elim :args (@t242)) % 1.74/1.91 (step @p1005 :rule refl :args (@t941)) % 1.74/1.91 (step @p1006 :rule nary_cong :premises (@p893 @p1005 @p1004 @p1003) :args (@t947)) % 1.74/1.91 (step @p1007 :rule aci_norm :args ((= (or @t884 (or @t941 (or @t946 @t940))) @t947))) % 1.74/1.91 (step @p1008 :rule trans :premises (@p1007 @p1006)) % 1.74/1.91 (step @p1009 :rule bool-and-de-morgan :args (@t243 @t616 true)) % 1.74/1.91 (step @p1010 :rule nary_cong :premises (@p1005 @p1009) :args ((or @t941 (not (and @t243 @t616))))) % 1.74/1.91 (step @p1011 :rule bool-and-de-morgan :args (@t456 @t243 (and @t616))) % 1.74/1.91 (step @p1012 :rule trans :premises (@p1011 @p1010)) % 1.74/1.91 (step @p1013 :rule refl :args (@t884)) % 1.74/1.91 (step @p1014 :rule nary_cong :premises (@p1013 @p1012) :args ((or @t884 (not (and @t456 @t243 @t616))))) % 1.74/1.91 (step @p1015 :rule bool-and-de-morgan :args (@t213 @t456 (and @t243 @t616))) % 1.74/1.91 (step @p1016 :rule trans :premises (@p1015 @p1014)) % 1.74/1.91 (step @p1017 :rule trans :premises (@p1016 @p1008)) % 1.74/1.91 (step @p1018 :rule nary_cong :premises (@p1017 @p1002) :args ((or (not @t617) @t945))) % 1.74/1.91 (step @p1019 :rule trans :premises (@p1018 @p995)) % 1.74/1.91 (step @p1020 :rule bool-impl-elim :args (@t617 @t945)) % 1.74/1.91 (step @p1021 :rule trans :premises (@p1020 @p1019)) % 1.74/1.91 (step @p1022 :rule cong :premises (@p1021) :args ((forall @t75 (=> @t617 @t945)))) % 1.74/1.91 (step @p1023 :rule aci_norm :args ((= (or @t943 false @t942) @t944))) % 1.74/1.91 (step @p1024 :rule refl :args (@t942)) % 1.74/1.91 (step @p1025 :rule evaluate :args ((not true))) % 1.74/1.91 (step @p1026 :rule eq-refl :args (@t1)) % 1.74/1.91 (step @p1027 :rule cong :premises (@p1026) :args (@t948)) % 1.74/1.91 (step @p1028 :rule trans :premises (@p1027 @p1025)) % 1.74/1.91 (step @p1029 :rule refl :args (@t943)) % 1.74/1.91 (step @p1030 :rule nary_cong :premises (@p1029 @p1028 @p1024) :args (@t949)) % 1.74/1.91 (step @p1031 :rule trans :premises (@p1030 @p1023)) % 1.74/1.91 (step @p1032 :rule quant-var-elim-eq :args ((= (forall @t192 (or (not @t332) @t951 @t786 @t950)) @t949))) % 1.74/1.91 (step @p1033 :rule refl :args (@t950)) % 1.74/1.91 (step @p1034 :rule refl :args (@t786)) % 1.74/1.91 (step @p1035 :rule refl :args (@t951)) % 1.74/1.91 (step @p1036 :rule eq-symm :args (@t1 @t177)) % 1.74/1.91 (step @p1037 :rule cong :premises (@p1036) :args (@t786)) % 1.74/1.91 (step @p1038 :rule nary_cong :premises (@p1037 @p1035 @p1034 @p1033) :args (@t952)) % 1.74/1.91 (step @p1039 :rule aci_norm :args ((= @t953 @t952))) % 1.74/1.91 (step @p1040 :rule trans :premises (@p1039 @p1038)) % 1.74/1.91 (step @p1041 :rule cong :premises (@p1040) :args ((forall @t192 @t953))) % 1.74/1.91 (step @p1042 :rule trans :premises (@p1041 @p1032)) % 1.74/1.91 (step @p1043 :rule trans :premises (@p1042 @p1031)) % 1.74/1.91 (step @p1044 :rule aci_norm :args ((= (or @t951 (or @t786 @t950)) @t953))) % 1.74/1.91 (step @p1045 :rule bool-and-de-morgan :args (@t607 @t609 true)) % 1.74/1.91 (step @p1046 :rule nary_cong :premises (@p1035 @p1045) :args ((or @t951 (not (and @t607 @t609))))) % 1.74/1.91 (step @p1047 :rule bool-and-de-morgan :args (@t611 @t607 (and @t609))) % 1.74/1.91 (step @p1048 :rule trans :premises (@p1047 @p1046)) % 1.74/1.91 (step @p1049 :rule trans :premises (@p1048 @p1044)) % 1.74/1.91 (step @p1050 :rule cong :premises (@p1049) :args (@t954)) % 1.74/1.91 (step @p1051 :rule trans :premises (@p1050 @p1043)) % 1.74/1.91 (step @p1052 :rule cong :premises (@p1051) :args (@t955)) % 1.74/1.91 (step @p1053 :rule exists-elim :args ((= @t613 @t955))) % 1.74/1.91 (step @p1054 :rule trans :premises (@p1053 @p1052)) % 1.74/1.91 (step @p1055 :rule refl :args (@t614)) % 1.74/1.91 (step @p1056 :rule cong :premises (@p1055 @p1054) :args (@t615)) % 1.74/1.91 (step @p1057 :rule refl :args (@t617)) % 1.74/1.91 (step @p1058 :rule cong :premises (@p1057 @p1056) :args (@t618)) % 1.74/1.91 (step @p1059 :rule cong :premises (@p1058) :args (@t619)) % 1.74/1.91 (step @p1060 :rule trans :premises (@p1059 @p1022)) % 1.74/1.91 (step @p1061 :rule eq_resolve :premises (@p442 @p1060)) % 1.74/1.91 (step @p1062 :rule instantiate :premises (@p1061) :args ((@list @t914 @t895 @t894))) % 1.74/1.91 (step @p1063 :rule cnf_or_pos :args (@t958)) % 1.74/1.91 (step @p1064 :rule reordering :premises (@p1063) :args ((or @t925 @t924 @t922 @t921 @t957 (not @t958)))) % 1.74/1.91 (step @p1065 :rule chain_m_resolution :premises (@p1064 @p966 @p964 @p958 @p956 @p1062) :args (@t957 @t932 (@list @t925 @t923 @t922 @t913 @t958))) % 1.74/1.91 (step @p1066 :rule cnf_equiv_pos1 :args (@t957)) % 1.74/1.91 (step @p1067 :rule reordering :premises (@p1066) :args ((or @t956 @t960 @t959))) % 1.74/1.91 (step @p1068 :rule cnf_and_pos :args (@t956 0)) % 1.74/1.91 (step @p1069 :rule reordering :premises (@p1068) :args ((or @t915 @t961))) % 1.74/1.91 (step @p1070 :rule cnf_and_pos :args (@t956 1)) % 1.74/1.91 (step @p1071 :rule reordering :premises (@p1070) :args ((or @t916 @t961))) % 1.74/1.91 (step @p1072 :rule cnf_and_neg :args (@t917)) % 1.74/1.91 (step @p1073 :rule chain_m_resolution :premises (@p1072 @p1071 @p1069 @p1067 @p1065 @p994 @p969 @p972 @p971) :args (@t936 (@list false false false false false false true true) (@list @t916 @t915 @t956 @t957 @t933 @t930 @t917 @t920))) % 1.74/1.91 (step @p1074 :rule cnf_equiv_neg1 :args (@t920)) % 1.74/1.91 (step @p1075 :rule reordering :premises (@p1074) :args ((or @t919 @t917 @t920))) % 1.74/1.91 (step @p1076 :rule chain_m_resolution :premises (@p1075 @p1073 @p971) :args (@t917 (@list true true) (@list @t919 @t920))) % 1.74/1.91 (step @p1077 :rule cnf_and_pos :args (@t917 1)) % 1.74/1.91 (step @p1078 :rule reordering :premises (@p1077) :args ((or @t915 @t962))) % 1.74/1.91 (step @p1079 :rule chain_m_resolution :premises (@p1078 @p1076) :args (@t915 @t963 @t964)) % 1.74/1.91 (step @p1080 :rule cnf_and_pos :args (@t917 0)) % 1.74/1.91 (step @p1081 :rule reordering :premises (@p1080) :args ((or @t916 @t962))) % 1.74/1.91 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p1076) :args (@t916 @t963 @t964)) % 1.74/1.91 (step @p1083 :rule cnf_and_neg :args (@t956)) % 1.74/1.91 (step @p1084 :rule reordering :premises (@p1083) :args ((or (not @t916) (not @t915) @t956))) % 1.74/1.91 (step @p1085 :rule chain_m_resolution :premises (@p1084 @p1082 @p1079) :args (@t956 @t965 (@list @t916 @t915))) % 1.74/1.91 (step @p1086 :rule cnf_equiv_pos2 :args (@t957)) % 1.74/1.91 (step @p1087 :rule reordering :premises (@p1086) :args ((or @t933 @t961 @t959))) % 1.74/1.91 (step @p1088 :rule chain_m_resolution :premises (@p1087 @p1085 @p1065) :args (@t933 @t965 (@list @t956 @t957))) % 1.74/1.91 (step @p1089 :rule refl :args (@t960)) % 1.74/1.91 (step @p1090 :rule refl :args (@t935)) % 1.74/1.91 (step @p1091 :rule bool-double-not-elim :args (@t919)) % 1.74/1.91 (step @p1092 :rule nary_cong :premises (@p1091 @p1090 @p1089) :args ((or (not @t936) @t935 @t960))) % 1.74/1.91 (assume-push @p1121 @t936) % 1.74/1.91 (assume-push @p1122 @t930) % 1.74/1.91 (assume-push @p1123 @t936) % 1.74/1.91 (assume-push @p1124 @t930) % 1.74/1.91 (step @p1097 :rule false_intro :premises (@p1121)) % 1.74/1.91 (step @p978 :rule symm :premises (@p969)) % 1.74/1.91 (step @p979 :rule refl :args (@t914)) % 1.74/1.91 (step @p980 :rule cong :premises (@p979 @p978) :args (@t933)) % 1.74/1.91 (step @p1098 :rule trans :premises (@p980 @p1097)) % 1.74/1.91 (step @p1099 :rule false_elim :premises (@p1098)) % 1.74/1.91 (step-pop @p1125 :rule scope :premises (@p1099)) % 1.74/1.91 (step-pop @p1126 :rule scope :premises (@p1125)) % 1.74/1.91 (step @p1100 :rule process_scope :premises (@p1126) :args (@t960)) % 1.74/1.91 (step @p1103 :rule and_intro :premises (@p1121 @p969)) % 1.74/1.91 (step @p1104 :rule modus_ponens :premises (@p1103 @p1100)) % 1.74/1.91 (step-pop @p1127 :rule scope :premises (@p1104)) % 1.74/1.91 (step-pop @p1128 :rule scope :premises (@p1127)) % 1.74/1.91 (step @p1105 :rule process_scope :premises (@p1128) :args (@t960)) % 1.74/1.91 (step @p1108 :rule implies_elim :premises (@p1105)) % 1.74/1.91 (step @p1109 :rule cnf_and_neg :args (@t966)) % 1.74/1.91 (step @p1110 :rule resolution :premises (@p1109 @p1108) :args (true @t966)) % 1.74/1.91 (step @p1111 :rule eq_resolve :premises (@p1110 @p1092)) % 1.74/1.91 (step @p1112 false :rule chain_m_resolution :premises (@p1111 @p1088 @p1073 @p969) :args (false (@list false true false) (@list @t933 @t919 @t930))) % 1.74/1.91 ) % 1.74/1.91 % SZS output end Proof % 1.74/1.91 % cvc5 exiting %------------------------------------------------------------------------------