%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU400+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 : n004.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 08:51:38 AM UTC 2026 % Result : Theorem 1.11s 1.32s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU400+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:08:07 EDT 2026 % 0.17/0.34 % CPUTime : % 0.42/0.71 %----Proving TF0_NAR, FOF, or CNF % 1.11/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.11/1.32 % SZS status Theorem % 1.11/1.32 % SZS output start Proof % 1.11/1.32 ( % 1.11/1.32 (declare-sort $$unsorted 0) % 1.11/1.32 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.a_3_3_yellow19 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_2_3_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.dense (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.element_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.subnetstr_of_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.is_a_cluster_point_of_netstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.a_3_0_waybel_9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.net_of_bool_filter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.strongly_connected_rel_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.a_3_1_yellow19 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.filter_of_net_str (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_2_1_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.apply_on_set_and_struct2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.centered (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_2_0_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.is_a_convergence_point_of_set (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.preimage_subnetstr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.function_invverse_img_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.function_of_composition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.neighborhood_system (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.lower_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.netstr_induced_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.lattice (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.top_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.apply_on_set_and_struct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.omega $$unsorted) % 1.11/1.32 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.function (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.a_2_2_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.empty_set $$unsorted) % 1.11/1.32 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.11/1.32 (define @t1 () (@var "A" $$unsorted)) % 1.11/1.32 (define @t2 () (tptp.the_InternalRel @t1)) % 1.11/1.32 (define @t3 () (tptp.the_carrier @t1)) % 1.11/1.32 (define @t4 () (tptp.strict_rel_str @t1)) % 1.11/1.32 (define @t5 () (tptp.rel_str @t1)) % 1.11/1.32 (define @t6 () (@list @t1)) % 1.11/1.32 (define @t7 () (tptp.the_L_meet @t1)) % 1.11/1.32 (define @t8 () (tptp.the_L_join @t1)) % 1.11/1.32 (define @t9 () (tptp.strict_latt_str @t1)) % 1.11/1.32 (define @t10 () (tptp.latt_str @t1)) % 1.11/1.32 (define @t11 () (@var "B" $$unsorted)) % 1.11/1.32 (define @t12 () (tptp.the_mapping @t1 @t11)) % 1.11/1.32 (define @t13 () (tptp.the_InternalRel @t11)) % 1.11/1.32 (define @t14 () (tptp.the_carrier @t11)) % 1.11/1.32 (define @t15 () (tptp.strict_net_str @t11 @t1)) % 1.11/1.32 (define @t16 () (tptp.net_str @t11 @t1)) % 1.11/1.32 (define @t17 () (tptp.one_sorted_str @t1)) % 1.11/1.32 (define @t18 () (and @t17 @t16)) % 1.11/1.32 (define @t19 () (@list @t1 @t11)) % 1.11/1.32 (define @t20 () (tptp.in @t11 @t1)) % 1.11/1.32 (define @t21 () (not @t20)) % 1.11/1.32 (define @t22 () (tptp.in @t1 @t11)) % 1.11/1.32 (define @t23 () (tptp.proper_subset @t11 @t1)) % 1.11/1.32 (define @t24 () (tptp.proper_subset @t1 @t11)) % 1.11/1.32 (define @t25 () (tptp.v1_xcmplx_0 @t11)) % 1.11/1.32 (define @t26 () (tptp.element @t11 @t1)) % 1.11/1.32 (define @t27 () (@list @t11)) % 1.11/1.32 (define @t28 () (tptp.v1_membered @t1)) % 1.11/1.32 (define @t29 () (tptp.join_complete_relstr @t1)) % 1.11/1.32 (define @t30 () (tptp.up_complete_relstr @t1)) % 1.11/1.32 (define @t31 () (tptp.reflexive_relstr @t1)) % 1.11/1.32 (define @t32 () (tptp.empty_carrier @t1)) % 1.11/1.32 (define @t33 () (not @t32)) % 1.11/1.32 (define @t34 () (tptp.complete_relstr @t1)) % 1.11/1.32 (define @t35 () (tptp.heyting_relstr @t1)) % 1.11/1.32 (define @t36 () (tptp.distributive_relstr @t1)) % 1.11/1.32 (define @t37 () (tptp.upper_bounded_relstr @t1)) % 1.11/1.32 (define @t38 () (tptp.with_infima_relstr @t1)) % 1.11/1.32 (define @t39 () (tptp.with_suprema_relstr @t1)) % 1.11/1.32 (define @t40 () (tptp.antisymmetric_relstr @t1)) % 1.11/1.32 (define @t41 () (tptp.transitive_relstr @t1)) % 1.11/1.32 (define @t42 () (tptp.boolean_relstr @t1)) % 1.11/1.32 (define @t43 () (and @t33 @t42)) % 1.11/1.32 (define @t44 () (tptp.v1_xreal_0 @t11)) % 1.11/1.32 (define @t45 () (tptp.v2_membered @t1)) % 1.11/1.32 (define @t46 () (tptp.lower_bounded_relstr @t1)) % 1.11/1.32 (define @t47 () (tptp.v1_rat_1 @t11)) % 1.11/1.32 (define @t48 () (tptp.v3_membered @t1)) % 1.11/1.32 (define @t49 () (tptp.bounded_relstr @t1)) % 1.11/1.32 (define @t50 () (tptp.v1_int_1 @t11)) % 1.11/1.32 (define @t51 () (tptp.v4_membered @t1)) % 1.11/1.32 (define @t52 () (tptp.natural @t11)) % 1.11/1.32 (define @t53 () (tptp.v5_membered @t1)) % 1.11/1.32 (define @t54 () (tptp.empty @t1)) % 1.11/1.32 (define @t55 () (tptp.v1_membered @t11)) % 1.11/1.32 (define @t56 () (tptp.powerset @t1)) % 1.11/1.32 (define @t57 () (tptp.element @t11 @t56)) % 1.11/1.32 (define @t58 () (tptp.v2_membered @t11)) % 1.11/1.32 (define @t59 () (tptp.v3_membered @t11)) % 1.11/1.32 (define @t60 () (tptp.v4_membered @t11)) % 1.11/1.32 (define @t61 () (tptp.ordinal @t11)) % 1.11/1.32 (define @t62 () (tptp.epsilon_connected @t11)) % 1.11/1.32 (define @t63 () (tptp.epsilon_transitive @t11)) % 1.11/1.32 (define @t64 () (tptp.ordinal @t1)) % 1.11/1.32 (define @t65 () (tptp.finite @t1)) % 1.11/1.32 (define @t66 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 1.11/1.32 (define @t67 () (tptp.preboolean @t1)) % 1.11/1.32 (define @t68 () (tptp.function @t1)) % 1.11/1.32 (define @t69 () (@var "C" $$unsorted)) % 1.11/1.32 (define @t70 () (tptp.quasi_total @t69 @t1 @t11)) % 1.11/1.32 (define @t71 () (tptp.function @t69)) % 1.11/1.32 (define @t72 () (and @t71 @t70)) % 1.11/1.32 (define @t73 () (tptp.v1_partfun1 @t69 @t1 @t11)) % 1.11/1.32 (define @t74 () (tptp.relation_of2 @t69 @t1 @t11)) % 1.11/1.32 (define @t75 () (@list @t1 @t11 @t69)) % 1.11/1.32 (define @t76 () (tptp.bounded_lattstr @t1)) % 1.11/1.32 (define @t77 () (tptp.upper_bounded_semilattstr @t1)) % 1.11/1.32 (define @t78 () (tptp.lower_bounded_semilattstr @t1)) % 1.11/1.32 (define @t79 () (tptp.lattice @t1)) % 1.11/1.32 (define @t80 () (tptp.join_absorbing @t1)) % 1.11/1.32 (define @t81 () (tptp.meet_absorbing @t1)) % 1.11/1.32 (define @t82 () (tptp.meet_associative @t1)) % 1.11/1.32 (define @t83 () (tptp.meet_commutative @t1)) % 1.11/1.32 (define @t84 () (tptp.join_associative @t1)) % 1.11/1.32 (define @t85 () (tptp.join_commutative @t1)) % 1.11/1.32 (define @t86 () (tptp.complete_latt_str @t1)) % 1.11/1.32 (define @t87 () (and @t33 @t85 @t84 @t83 @t82 @t81 @t80)) % 1.11/1.32 (define @t88 () (and @t33 @t79)) % 1.11/1.32 (define @t89 () (tptp.epsilon_connected @t1)) % 1.11/1.32 (define @t90 () (tptp.epsilon_transitive @t1)) % 1.11/1.32 (define @t91 () (and @t90 @t89)) % 1.11/1.32 (define @t92 () (tptp.reflexive @t1)) % 1.11/1.32 (define @t93 () (tptp.relation @t1)) % 1.11/1.32 (define @t94 () (tptp.transitive @t1)) % 1.11/1.32 (define @t95 () (tptp.relation @t69)) % 1.11/1.32 (define @t96 () (tptp.cartesian_product2 @t1 @t11)) % 1.11/1.32 (define @t97 () (tptp.element @t69 (tptp.powerset @t96))) % 1.11/1.32 (define @t98 () (tptp.closed_subset @t11 @t1)) % 1.11/1.32 (define @t99 () (tptp.open_subset @t11 @t1)) % 1.11/1.32 (define @t100 () (tptp.empty @t11)) % 1.11/1.32 (define @t101 () (tptp.powerset @t3)) % 1.11/1.32 (define @t102 () (tptp.element @t11 @t101)) % 1.11/1.32 (define @t103 () (tptp.top_str @t1)) % 1.11/1.32 (define @t104 () (tptp.topological_space @t1)) % 1.11/1.32 (define @t105 () (and @t104 @t103)) % 1.11/1.32 (define @t106 () (tptp.filtered_subset @t11 @t1)) % 1.11/1.32 (define @t107 () (tptp.directed_subset @t11 @t1)) % 1.11/1.32 (define @t108 () (tptp.connected_relstr @t1)) % 1.11/1.32 (define @t109 () (and @t33 @t34)) % 1.11/1.32 (define @t110 () (tptp.v1_yellow_3 @t1)) % 1.11/1.32 (define @t111 () (tptp.v5_membered @t11)) % 1.11/1.32 (define @t112 () (tptp.natural @t1)) % 1.11/1.32 (define @t113 () (and @t90 @t89 @t64 @t112)) % 1.11/1.32 (define @t114 () (tptp.finite @t11)) % 1.11/1.32 (define @t115 () (tptp.one_to_one @t1)) % 1.11/1.32 (define @t116 () (and @t93 @t68 @t115)) % 1.11/1.32 (define @t117 () (and @t93 @t54 @t68)) % 1.11/1.32 (define @t118 () (tptp.one_to_one @t69)) % 1.11/1.32 (define @t119 () (and @t71 @t118 @t70 (tptp.onto @t69 @t1 @t11))) % 1.11/1.32 (define @t120 () (and @t71 @t70 (tptp.bijective @t69 @t1 @t11))) % 1.11/1.32 (define @t121 () (tptp.boundary_set @t11 @t1)) % 1.11/1.32 (define @t122 () (tptp.trivial_carrier @t1)) % 1.11/1.32 (define @t123 () (and @t33 @t31 @t122)) % 1.11/1.32 (define @t124 () (not @t110)) % 1.11/1.32 (define @t125 () (and @t33 @t76)) % 1.11/1.32 (define @t126 () (and @t33 @t78 @t77)) % 1.11/1.32 (define @t127 () (and @t90 @t89 @t64)) % 1.11/1.32 (define @t128 () (tptp.nowhere_dense @t11 @t1)) % 1.11/1.32 (define @t129 () (tptp.v2_waybel_3 @t1)) % 1.11/1.32 (define @t130 () (tptp.bijective @t11 @t1 @t1)) % 1.11/1.32 (define @t131 () (tptp.onto @t11 @t1 @t1)) % 1.11/1.32 (define @t132 () (tptp.quasi_total @t11 @t1 @t1)) % 1.11/1.32 (define @t133 () (tptp.one_to_one @t11)) % 1.11/1.32 (define @t134 () (tptp.function @t11)) % 1.11/1.32 (define @t135 () (tptp.reflexive @t11)) % 1.11/1.32 (define @t136 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 1.11/1.32 (define @t137 () (tptp.relation_of2 @t11 @t1 @t1)) % 1.11/1.32 (define @t138 () (tptp.v3_waybel_3 @t1)) % 1.11/1.32 (define @t139 () (and @t46 @t37)) % 1.11/1.32 (define @t140 () (@list @t69)) % 1.11/1.32 (define @t141 () (not @t100)) % 1.11/1.32 (define @t142 () (tptp.complemented_lattstr @t1)) % 1.11/1.32 (define @t143 () (tptp.distributive_lattstr @t1)) % 1.11/1.32 (define @t144 () (tptp.boolean_lattstr @t1)) % 1.11/1.32 (define @t145 () (and @t33 @t144)) % 1.11/1.32 (define @t146 () (and @t33 @t35)) % 1.11/1.32 (define @t147 () (tptp.empty @t69)) % 1.11/1.32 (define @t148 () (not @t147)) % 1.11/1.32 (define @t149 () (not @t54)) % 1.11/1.32 (define @t150 () (and @t149 @t141)) % 1.11/1.32 (define @t151 () (tptp.modular_lattstr @t1)) % 1.11/1.32 (define @t152 () (tptp.full_subrelstr @t11 @t1)) % 1.11/1.32 (define @t153 () (tptp.transitive_relstr @t11)) % 1.11/1.32 (define @t154 () (tptp.subrelstr @t11 @t1)) % 1.11/1.32 (define @t155 () (and @t41 @t5)) % 1.11/1.32 (define @t156 () (tptp.complemented_relstr @t1)) % 1.11/1.32 (define @t157 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t69)) % 1.11/1.32 (define @t158 () (tptp.element @t69 @t3)) % 1.11/1.32 (define @t159 () (tptp.element @t11 @t3)) % 1.11/1.32 (define @t160 () (and @t33 @t17 @t159 @t158)) % 1.11/1.32 (define @t161 () (tptp.unordered_pair @t1 @t11)) % 1.11/1.32 (define @t162 () (tptp.set_union2 @t11 @t1)) % 1.11/1.32 (define @t163 () (tptp.set_union2 @t1 @t11)) % 1.11/1.32 (define @t164 () (tptp.join_commut @t1 @t11 @t69)) % 1.11/1.32 (define @t165 () (tptp.join_semilatt_str @t1)) % 1.11/1.32 (define @t166 () (and @t33 @t85 @t165 @t159 @t158)) % 1.11/1.32 (define @t167 () (tptp.set_intersection2 @t11 @t1)) % 1.11/1.32 (define @t168 () (tptp.set_intersection2 @t1 @t11)) % 1.11/1.32 (define @t169 () (tptp.meet_commut @t1 @t11 @t69)) % 1.11/1.32 (define @t170 () (tptp.meet_semilatt_str @t1)) % 1.11/1.32 (define @t171 () (and @t33 @t83 @t170 @t159 @t158)) % 1.11/1.32 (define @t172 () (tptp.subset_union2 @t1 @t11 @t69)) % 1.11/1.32 (define @t173 () (tptp.element @t69 @t56)) % 1.11/1.32 (define @t174 () (and @t57 @t173)) % 1.11/1.32 (define @t175 () (tptp.subset_intersection2 @t1 @t11 @t69)) % 1.11/1.32 (define @t176 () (tptp.ordinal_subset @t1 @t11)) % 1.11/1.32 (define @t177 () (and @t64 @t61)) % 1.11/1.32 (define @t178 () (@var "D" $$unsorted)) % 1.11/1.32 (define @t179 () (= @t69 @t178)) % 1.11/1.32 (define @t180 () (tptp.in @t69 @t1)) % 1.11/1.32 (define @t181 () (tptp.ordered_pair @t69 @t178)) % 1.11/1.32 (define @t182 () (tptp.in @t181 @t11)) % 1.11/1.32 (define @t183 () (@list @t69 @t178)) % 1.11/1.32 (define @t184 () (tptp.identity_relation @t1)) % 1.11/1.32 (define @t185 () (= @t11 @t184)) % 1.11/1.32 (define @t186 () (tptp.relation @t11)) % 1.11/1.32 (define @t187 () (tptp.subset @t11 @t1)) % 1.11/1.32 (define @t188 () (tptp.subset @t1 @t11)) % 1.11/1.32 (define @t189 () (= @t1 @t11)) % 1.11/1.32 (define @t190 () (tptp.related @t1 @t178 @t69)) % 1.11/1.32 (define @t191 () (tptp.relstr_element_smaller @t1 @t11 @t178)) % 1.11/1.32 (define @t192 () (tptp.element @t178 @t3)) % 1.11/1.32 (define @t193 () (@list @t178)) % 1.11/1.32 (define @t194 () (forall @t193 (=> @t192 (=> @t191 @t190)))) % 1.11/1.32 (define @t195 () (tptp.relstr_element_smaller @t1 @t11 @t69)) % 1.11/1.32 (define @t196 () (tptp.meet_on_relstr @t1 @t11)) % 1.11/1.32 (define @t197 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 1.11/1.32 (define @t198 () (@list @t11 @t69)) % 1.11/1.32 (define @t199 () (tptp.identity_on_carrier @t1)) % 1.11/1.32 (define @t200 () (@var "E" $$unsorted)) % 1.11/1.32 (define @t201 () (tptp.ordered_pair @t178 @t200)) % 1.11/1.32 (define @t202 () (tptp.in @t201 @t1)) % 1.11/1.32 (define @t203 () (tptp.in @t178 @t11)) % 1.11/1.32 (define @t204 () (tptp.in @t201 @t69)) % 1.11/1.32 (define @t205 () (@list @t178 @t200)) % 1.11/1.32 (define @t206 () (tptp.relation_dom_restriction @t1 @t11)) % 1.11/1.32 (define @t207 () (tptp.in (tptp.apply_netmap @t1 @t11 @t200) @t69)) % 1.11/1.32 (define @t208 () (tptp.related @t11 @t178 @t200)) % 1.11/1.32 (define @t209 () (tptp.element @t200 @t14)) % 1.11/1.32 (define @t210 () (@list @t200)) % 1.11/1.32 (define @t211 () (tptp.element @t178 @t14)) % 1.11/1.32 (define @t212 () (tptp.is_eventually_in @t1 @t11 @t69)) % 1.11/1.32 (define @t213 () (tptp.empty_carrier @t11)) % 1.11/1.32 (define @t214 () (not @t213)) % 1.11/1.32 (define @t215 () (and @t214 @t16)) % 1.11/1.32 (define @t216 () (and @t33 @t17)) % 1.11/1.32 (define @t217 () (tptp.bottom_of_relstr @t1)) % 1.11/1.32 (define @t218 () (tptp.in @t200 @t11)) % 1.11/1.32 (define @t219 () (tptp.relation_dom @t1)) % 1.11/1.32 (define @t220 () (tptp.in @t178 @t69)) % 1.11/1.32 (define @t221 () (tptp.relation_image @t1 @t11)) % 1.11/1.32 (define @t222 () (= @t69 @t221)) % 1.11/1.32 (define @t223 () (and @t93 @t68)) % 1.11/1.32 (define @t224 () (tptp.in @t200 @t1)) % 1.11/1.32 (define @t225 () (tptp.relation_rng_restriction @t1 @t11)) % 1.11/1.32 (define @t226 () (tptp.relation_field @t1)) % 1.11/1.32 (define @t227 () (tptp.antisymmetric @t1)) % 1.11/1.32 (define @t228 () (tptp.is_often_in @t1 @t11 @t69)) % 1.11/1.32 (define @t229 () (@var "G" $$unsorted)) % 1.11/1.32 (define @t230 () (tptp.the_carrier @t69)) % 1.11/1.32 (define @t231 () (@var "F" $$unsorted)) % 1.11/1.32 (define @t232 () (tptp.related @t69 @t231 @t229)) % 1.11/1.32 (define @t233 () (tptp.element @t229 @t230)) % 1.11/1.32 (define @t234 () (@list @t229)) % 1.11/1.32 (define @t235 () (tptp.element @t231 @t230)) % 1.11/1.32 (define @t236 () (@list @t231)) % 1.11/1.32 (define @t237 () (tptp.the_mapping @t1 @t69)) % 1.11/1.32 (define @t238 () (tptp.function @t178)) % 1.11/1.32 (define @t239 () (tptp.subnet @t69 @t1 @t11)) % 1.11/1.32 (define @t240 () (tptp.net_str @t69 @t1)) % 1.11/1.32 (define @t241 () (tptp.directed_relstr @t69)) % 1.11/1.32 (define @t242 () (tptp.transitive_relstr @t69)) % 1.11/1.32 (define @t243 () (not (tptp.empty_carrier @t69))) % 1.11/1.32 (define @t244 () (and @t243 @t242 @t241 @t240)) % 1.11/1.32 (define @t245 () (tptp.directed_relstr @t11)) % 1.11/1.32 (define @t246 () (and @t214 @t153 @t245 @t16)) % 1.11/1.32 (define @t247 () (tptp.apply @t1 @t178)) % 1.11/1.32 (define @t248 () (tptp.in @t178 @t219)) % 1.11/1.32 (define @t249 () (= @t69 (tptp.relation_inverse_image @t1 @t11))) % 1.11/1.32 (define @t250 () (tptp.meet @t1 @t11 @t69)) % 1.11/1.32 (define @t251 () (forall @t140 (=> @t158 (and (= @t250 @t11) (= (tptp.meet @t1 @t69 @t11) @t11))))) % 1.11/1.32 (define @t252 () (and @t33 @t170)) % 1.11/1.32 (define @t253 () (tptp.in @t178 @t200)) % 1.11/1.32 (define @t254 () (tptp.element @t200 @t101)) % 1.11/1.32 (define @t255 () (tptp.topstr_closure @t1 @t11)) % 1.11/1.32 (define @t256 () (tptp.element @t69 @t101)) % 1.11/1.32 (define @t257 () (tptp.ordered_pair @t200 @t178)) % 1.11/1.32 (define @t258 () (tptp.rel_str @t11)) % 1.11/1.32 (define @t259 () (tptp.the_carrier @t178)) % 1.11/1.32 (define @t260 () (tptp.preimage_subnetstr @t1 @t11 @t69)) % 1.11/1.32 (define @t261 () (= @t178 @t260)) % 1.11/1.32 (define @t262 () (tptp.strict_net_str @t178 @t1)) % 1.11/1.32 (define @t263 () (tptp.connected @t1)) % 1.11/1.32 (define @t264 () (tptp.latt_set_smaller @t1 @t11 @t69)) % 1.11/1.32 (define @t265 () (and @t33 @t10)) % 1.11/1.32 (define @t266 () (tptp.bottom_of_semilattstr @t1)) % 1.11/1.32 (define @t267 () (tptp.lim_points_of_net @t1 @t11)) % 1.11/1.32 (define @t268 () (and @t33 @t104 @t103)) % 1.11/1.32 (define @t269 () (tptp.ordered_pair @t11 @t69)) % 1.11/1.32 (define @t270 () (tptp.interior @t1 @t69)) % 1.11/1.32 (define @t271 () (tptp.point_neighbourhood @t69 @t1 @t11)) % 1.11/1.32 (define @t272 () (= @t200 @t69)) % 1.11/1.32 (define @t273 () (tptp.in @t200 @t178)) % 1.11/1.32 (define @t274 () (@list @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t275 () (tptp.relation_dom @t11)) % 1.11/1.32 (define @t276 () (tptp.relation_rng @t11)) % 1.11/1.32 (define @t277 () (tptp.in (tptp.ordered_pair @t11 @t178) @t1)) % 1.11/1.32 (define @t278 () (tptp.in @t269 @t1)) % 1.11/1.32 (define @t279 () (@list @t11 @t69 @t178)) % 1.11/1.32 (define @t280 () (= @t69 tptp.empty_set)) % 1.11/1.32 (define @t281 () (= @t1 tptp.empty_set)) % 1.11/1.32 (define @t282 () (= @t11 tptp.empty_set)) % 1.11/1.32 (define @t283 () (tptp.relation_dom_as_subset @t1 @t11 @t69)) % 1.11/1.32 (define @t284 () (tptp.relation_of2_as_subset @t69 @t1 @t11)) % 1.11/1.32 (define @t285 () (tptp.element @t178 @t56)) % 1.11/1.32 (define @t286 () (tptp.boole_lattice @t1)) % 1.11/1.32 (define @t287 () (tptp.latt_str @t11)) % 1.11/1.32 (define @t288 () (tptp.join @t1 @t11 @t69)) % 1.11/1.32 (define @t289 () (and @t33 @t165)) % 1.11/1.32 (define @t290 () (= @t11 @t69)) % 1.11/1.32 (define @t291 () (= @t1 @t181)) % 1.11/1.32 (define @t292 () (exists @t198 (= @t1 @t269))) % 1.11/1.32 (define @t293 () (tptp.singleton @t1)) % 1.11/1.32 (define @t294 () (tptp.succ @t1)) % 1.11/1.32 (define @t295 () (tptp.the_topology @t1)) % 1.11/1.32 (define @t296 () (tptp.in @t11 @t295)) % 1.11/1.32 (define @t297 () (tptp.union_of_subsets @t3 @t11)) % 1.11/1.32 (define @t298 () (tptp.powerset @t101)) % 1.11/1.32 (define @t299 () (tptp.element @t11 @t298)) % 1.11/1.32 (define @t300 () (tptp.in @t69 @t11)) % 1.11/1.32 (define @t301 () (tptp.is_reflexive_in @t1 @t11)) % 1.11/1.32 (define @t302 () (= @t11 (tptp.set_meet @t1))) % 1.11/1.32 (define @t303 () (tptp.in @t69 @t178)) % 1.11/1.32 (define @t304 () (tptp.in @t178 @t1)) % 1.11/1.32 (define @t305 () (not @t281)) % 1.11/1.32 (define @t306 () (tptp.empty @t3)) % 1.11/1.32 (define @t307 () (tptp.subset_complement @t3 @t11)) % 1.11/1.32 (define @t308 () (tptp.interior @t1 @t11)) % 1.11/1.32 (define @t309 () (tptp.open_subset @t69 @t1)) % 1.11/1.32 (define @t310 () (tptp.open_subsets @t11 @t1)) % 1.11/1.32 (define @t311 () (tptp.related @t1 @t178 @t200)) % 1.11/1.32 (define @t312 () (tptp.element @t200 @t3)) % 1.11/1.32 (define @t313 () (= @t178 @t11)) % 1.11/1.32 (define @t314 () (tptp.subset @t69 @t178)) % 1.11/1.32 (define @t315 () (tptp.relation_field @t11)) % 1.11/1.32 (define @t316 () (tptp.inclusion_relation @t1)) % 1.11/1.32 (define @t317 () (tptp.neighborhood_system @t1 @t11)) % 1.11/1.32 (define @t318 () (tptp.inclusion_order @t1)) % 1.11/1.32 (define @t319 () (tptp.incl_POSet @t1)) % 1.11/1.32 (define @t320 () (tptp.related @t1 @t69 @t178)) % 1.11/1.32 (define @t321 () (tptp.upper_relstr_subset @t11 @t1)) % 1.11/1.32 (define @t322 () (tptp.join_of_latt_set @t1 @t11)) % 1.11/1.32 (define @t323 () (and @t33 @t79 @t86 @t10)) % 1.11/1.32 (define @t324 () (tptp.meet_of_latt_set @t1 @t11)) % 1.11/1.32 (define @t325 () (tptp.set_meet @t11)) % 1.11/1.32 (define @t326 () (not @t282)) % 1.11/1.32 (define @t327 () (tptp.k2_lattice3 @t1)) % 1.11/1.32 (define @t328 () (tptp.poset_of_lattice @t1)) % 1.11/1.32 (define @t329 () (and @t33 @t79 @t10)) % 1.11/1.32 (define @t330 () (= @t11 @t178)) % 1.11/1.32 (define @t331 () (tptp.empty_carrier_subset @t1)) % 1.11/1.32 (define @t332 () (tptp.in @t181 @t1)) % 1.11/1.32 (define @t333 () (tptp.union @t1)) % 1.11/1.32 (define @t334 () (= @t11 @t333)) % 1.11/1.32 (define @t335 () (forall @t140 (=> @t256 (=> @t300 (tptp.closed_subset @t69 @t1))))) % 1.11/1.32 (define @t336 () (tptp.closed_subsets @t11 @t1)) % 1.11/1.32 (define @t337 () (tptp.well_founded_relation @t1)) % 1.11/1.32 (define @t338 () (tptp.netstr_restr_to_element @t1 @t11 @t178)) % 1.11/1.32 (define @t339 () (tptp.netstr_induced_subset @t69 @t1 @t11)) % 1.11/1.32 (define @t340 () (tptp.related @t1 @t11 @t178)) % 1.11/1.32 (define @t341 () (tptp.related @t1 @t11 @t69)) % 1.11/1.32 (define @t342 () (forall @t27 (=> @t159 (forall @t140 (=> @t158 (forall @t193 (=> @t192 (=> (and @t341 @t320) @t340)))))))) % 1.11/1.32 (define @t343 () (tptp.boole_POSet @t1)) % 1.11/1.32 (define @t344 () (tptp.ordered_pair @t200 @t231)) % 1.11/1.32 (define @t345 () (tptp.in @t231 @t11)) % 1.11/1.32 (define @t346 () (@list @t200 @t231)) % 1.11/1.32 (define @t347 () (tptp.finite @t69)) % 1.11/1.32 (define @t348 () (tptp.subset @t69 @t11)) % 1.11/1.32 (define @t349 () (tptp.element @t69 @t298)) % 1.11/1.32 (define @t350 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 1.11/1.32 (define @t351 () (tptp.compact_top_space @t1)) % 1.11/1.32 (define @t352 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 1.11/1.32 (define @t353 () (tptp.below @t1 @t11 @t69)) % 1.11/1.32 (define @t354 () (not @t300)) % 1.11/1.32 (define @t355 () (not @t290)) % 1.11/1.32 (define @t356 () (tptp.in @t11 @t69)) % 1.11/1.32 (define @t357 () (tptp.cast_as_carrier_subset @t1)) % 1.11/1.32 (define @t358 () (forall @t140 (=> @t180 @t300))) % 1.11/1.32 (define @t359 () (not @t280)) % 1.11/1.32 (define @t360 () (tptp.is_well_founded_in @t1 @t11)) % 1.11/1.32 (define @t361 () (tptp.filter_of_net_str @t1 @t11)) % 1.11/1.32 (define @t362 () (tptp.apply @t1 @t11)) % 1.11/1.32 (define @t363 () (= @t69 @t362)) % 1.11/1.32 (define @t364 () (tptp.in @t11 @t219)) % 1.11/1.32 (define @t365 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 1.11/1.32 (define @t366 () (tptp.the_carrier @t328)) % 1.11/1.32 (define @t367 () (tptp.element @t11 @t366)) % 1.11/1.32 (define @t368 () (tptp.in (tptp.ordered_pair @t178 @t69) @t1)) % 1.11/1.32 (define @t369 () (tptp.is_antisymmetric_in @t1 @t11)) % 1.11/1.32 (define @t370 () (tptp.cast_to_subset @t1)) % 1.11/1.32 (define @t371 () (tptp.well_ordering @t1)) % 1.11/1.32 (define @t372 () (tptp.relation_rng @t69)) % 1.11/1.32 (define @t373 () (tptp.relation_dom @t69)) % 1.11/1.32 (define @t374 () (= @t373 @t1)) % 1.11/1.32 (define @t375 () (tptp.equipotent @t1 @t11)) % 1.11/1.32 (define @t376 () (tptp.set_difference @t1 @t11)) % 1.11/1.32 (define @t377 () (tptp.element @t200 @t259)) % 1.11/1.32 (define @t378 () (tptp.net_of_bool_filter @t1 @t11 @t69)) % 1.11/1.32 (define @t379 () (tptp.net_str @t178 @t1)) % 1.11/1.32 (define @t380 () (not (tptp.empty_carrier @t178))) % 1.11/1.32 (define @t381 () (tptp.boole_POSet @t11)) % 1.11/1.32 (define @t382 () (tptp.powerset (tptp.the_carrier @t381))) % 1.11/1.32 (define @t383 () (tptp.element @t69 @t382)) % 1.11/1.32 (define @t384 () (tptp.upper_relstr_subset @t69 @t381)) % 1.11/1.32 (define @t385 () (tptp.filtered_subset @t69 @t381)) % 1.11/1.32 (define @t386 () (and @t248 (= @t69 @t247))) % 1.11/1.32 (define @t387 () (tptp.relation_rng @t1)) % 1.11/1.32 (define @t388 () (= @t11 @t387)) % 1.11/1.32 (define @t389 () (tptp.being_limit_ordinal @t1)) % 1.11/1.32 (define @t390 () (tptp.subset_complement @t1 @t11)) % 1.11/1.32 (define @t391 () (tptp.ordered_pair @t1 @t11)) % 1.11/1.32 (define @t392 () (tptp.element @t178 @t101)) % 1.11/1.32 (define @t393 () (tptp.is_a_convergence_point_of_set @t1 @t11 @t69)) % 1.11/1.32 (define @t394 () (tptp.is_connected_in @t1 @t11)) % 1.11/1.32 (define @t395 () (tptp.is_transitive_in @t1 @t11)) % 1.11/1.32 (define @t396 () (tptp.directed_relstr @t1)) % 1.11/1.32 (define @t397 () (and @t33 @t5)) % 1.11/1.32 (define @t398 () (tptp.subset_difference @t3 @t357 @t11)) % 1.11/1.32 (define @t399 () (tptp.cartesian_product2 @t11 @t11)) % 1.11/1.32 (define @t400 () (tptp.relation_restriction @t1 @t11)) % 1.11/1.32 (define @t401 () (tptp.relation_inverse @t1)) % 1.11/1.32 (define @t402 () (= @t231 @t200)) % 1.11/1.32 (define @t403 () (tptp.element @t231 @t14)) % 1.11/1.32 (define @t404 () (tptp.netstr_restr_to_element @t1 @t11 @t69)) % 1.11/1.32 (define @t405 () (tptp.element @t69 @t14)) % 1.11/1.32 (define @t406 () (tptp.apply @t69 @t200)) % 1.11/1.32 (define @t407 () (tptp.apply @t69 @t178)) % 1.11/1.32 (define @t408 () (tptp.relation_isomorphism @t1 @t11 @t69)) % 1.11/1.32 (define @t409 () (and @t95 @t71)) % 1.11/1.32 (define @t410 () (tptp.disjoint @t1 @t11)) % 1.11/1.32 (define @t411 () (= @t178 @t69)) % 1.11/1.32 (define @t412 () (tptp.relstr_set_smaller @t1 @t11 @t178)) % 1.11/1.32 (define @t413 () (forall @t193 (=> @t192 (=> @t412 @t320)))) % 1.11/1.32 (define @t414 () (tptp.relstr_set_smaller @t1 @t11 @t69)) % 1.11/1.32 (define @t415 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 1.11/1.32 (define @t416 () (tptp.relation_of_lattice @t1)) % 1.11/1.32 (define @t417 () (tptp.relation_composition @t1 @t11)) % 1.11/1.32 (define @t418 () (@list @t69 @t178 @t200)) % 1.11/1.32 (define @t419 () (tptp.complements_of_subsets @t1 @t11)) % 1.11/1.32 (define @t420 () (tptp.powerset @t56)) % 1.11/1.32 (define @t421 () (tptp.element @t11 @t420)) % 1.11/1.32 (define @t422 () (tptp.apply_netmap @t1 @t11 @t69)) % 1.11/1.32 (define @t423 () (not @t189)) % 1.11/1.32 (define @t424 () (tptp.subrelstr @t69 @t11)) % 1.11/1.32 (define @t425 () (tptp.subnetstr @t69 @t1 @t11)) % 1.11/1.32 (define @t426 () (tptp.function_inverse @t1)) % 1.11/1.32 (define @t427 () (tptp.is_often_in @t1 @t11 @t178)) % 1.11/1.32 (define @t428 () (tptp.point_neighbourhood @t178 @t1 @t69)) % 1.11/1.32 (define @t429 () (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t69)) % 1.11/1.32 (define @t430 () (tptp.join_on_relstr @t1 @t11)) % 1.11/1.32 (define @t431 () (tptp.full_subnetstr @t69 @t1 @t11)) % 1.11/1.32 (define @t432 () (tptp.rel_str_of @t1 @t11)) % 1.11/1.32 (define @t433 () (tptp.strict_rel_str @t432)) % 1.11/1.32 (define @t434 () (tptp.net_str_of @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t435 () (tptp.strict_net_str @t434 @t1)) % 1.11/1.32 (define @t436 () (tptp.relation_of2 @t178 @t11 @t3)) % 1.11/1.32 (define @t437 () (tptp.quasi_total @t178 @t11 @t3)) % 1.11/1.32 (define @t438 () (tptp.relation_of2 @t69 @t11 @t11)) % 1.11/1.32 (define @t439 () (and @t17 @t438 @t238 @t437 @t436)) % 1.11/1.32 (define @t440 () (tptp.latt_str_of @t1 @t11 @t69)) % 1.11/1.32 (define @t441 () (tptp.strict_latt_str @t440)) % 1.11/1.32 (define @t442 () (tptp.cartesian_product2 @t1 @t1)) % 1.11/1.32 (define @t443 () (tptp.relation_of2 @t69 @t442 @t1)) % 1.11/1.32 (define @t444 () (tptp.quasi_total @t69 @t442 @t1)) % 1.11/1.32 (define @t445 () (tptp.relation_of2 @t11 @t442 @t1)) % 1.11/1.32 (define @t446 () (tptp.quasi_total @t11 @t442 @t1)) % 1.11/1.32 (define @t447 () (and @t134 @t446 @t445 @t71 @t444 @t443)) % 1.11/1.32 (define @t448 () (tptp.k8_filter_1 @t1 @t11)) % 1.11/1.32 (define @t449 () (tptp.k10_filter_1 @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t450 () (tptp.lattice @t11)) % 1.11/1.32 (define @t451 () (and @t33 @t79 @t10 @t214 @t450 @t287 @t158 @t211)) % 1.11/1.32 (define @t452 () (and @t33 @t104 @t103 @t214 @t153 @t245 @t16)) % 1.11/1.32 (define @t453 () (tptp.ordered_pair_as_product_element @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t454 () (tptp.element @t69 @t1)) % 1.11/1.32 (define @t455 () (and @t149 @t141 @t454 (tptp.element @t178 @t11))) % 1.11/1.32 (define @t456 () (tptp.strict_latt_str @t286)) % 1.11/1.32 (define @t457 () (tptp.k1_pcomps_1 @t1)) % 1.11/1.32 (define @t458 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 1.11/1.32 (define @t459 () (and @t103 @t102)) % 1.11/1.32 (define @t460 () (tptp.apply_on_structs @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t461 () (tptp.relation_of2 @t69 @t3 @t14)) % 1.11/1.32 (define @t462 () (tptp.quasi_total @t69 @t3 @t14)) % 1.11/1.32 (define @t463 () (tptp.one_sorted_str @t11)) % 1.11/1.32 (define @t464 () (and @t33 @t17 @t214 @t463 @t71 @t462 @t461 @t192)) % 1.11/1.32 (define @t465 () (tptp.boole_POSet @t357)) % 1.11/1.32 (define @t466 () (tptp.powerset (tptp.the_carrier @t465))) % 1.11/1.32 (define @t467 () (and @t33 @t104 @t103 @t159)) % 1.11/1.32 (define @t468 () (tptp.apply_binary_as_element @t1 @t11 @t69 @t178 @t200 @t231)) % 1.11/1.32 (define @t469 () (and @t149 @t141 @t238 (tptp.quasi_total @t178 @t96 @t69) (tptp.relation_of2 @t178 @t96 @t69) (tptp.element @t200 @t1) (tptp.element @t231 @t11))) % 1.11/1.32 (define @t470 () (@list @t1 @t11 @t69 @t178 @t200 @t231)) % 1.11/1.32 (define @t471 () (tptp.partfun_dom_restriction @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t472 () (and @t71 @t74)) % 1.11/1.32 (define @t473 () (and @t33 @t17 @t214 @t16)) % 1.11/1.32 (define @t474 () (tptp.strict_rel_str @t319)) % 1.11/1.32 (define @t475 () (tptp.antisymmetric_relstr @t328)) % 1.11/1.32 (define @t476 () (tptp.transitive_relstr @t328)) % 1.11/1.32 (define @t477 () (tptp.reflexive_relstr @t328)) % 1.11/1.32 (define @t478 () (tptp.strict_rel_str @t328)) % 1.11/1.32 (define @t479 () (and @t33 @t17 @t214 @t16 @t405)) % 1.11/1.32 (define @t480 () (tptp.strict_net_str @t378 @t1)) % 1.11/1.32 (define @t481 () (not (tptp.empty_carrier @t378))) % 1.11/1.32 (define @t482 () (and @t33 @t17 @t141 @t102 @t148 @t385 @t384 @t383)) % 1.11/1.32 (define @t483 () (tptp.strict_rel_str @t343)) % 1.11/1.32 (define @t484 () (tptp.apply_on_set_and_struct @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t485 () (tptp.element @t178 @t1)) % 1.11/1.32 (define @t486 () (tptp.relation_of2 @t69 @t1 @t14)) % 1.11/1.32 (define @t487 () (tptp.quasi_total @t69 @t1 @t14)) % 1.11/1.32 (define @t488 () (and @t149 @t214 @t258 @t71 @t487 @t486 @t485)) % 1.11/1.32 (define @t489 () (tptp.relation @t401)) % 1.11/1.32 (define @t490 () (tptp.function_invverse_img_as_carrier_subset @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t491 () (and @t17 @t463 @t71 @t462 @t461)) % 1.11/1.32 (define @t492 () (tptp.relation @t417)) % 1.11/1.32 (define @t493 () (and @t93 @t186)) % 1.11/1.32 (define @t494 () (tptp.powerset @t11)) % 1.11/1.32 (define @t495 () (tptp.relation_rng_as_subset @t1 @t11 @t69)) % 1.11/1.32 (define @t496 () (tptp.union_of_subsets @t1 @t11)) % 1.11/1.32 (define @t497 () (tptp.strict_net_str @t404 @t1)) % 1.11/1.32 (define @t498 () (tptp.identity_as_relation_of @t1)) % 1.11/1.32 (define @t499 () (tptp.relation @t184)) % 1.11/1.32 (define @t500 () (tptp.meet_of_subsets @t1 @t11)) % 1.11/1.32 (define @t501 () (tptp.subset_difference @t1 @t11 @t69)) % 1.11/1.32 (define @t502 () (tptp.subnetstr_of_element @t1 @t11 @t69)) % 1.11/1.32 (define @t503 () (and @t33 @t17 @t214 @t153 @t245 @t16 @t405)) % 1.11/1.32 (define @t504 () (tptp.strict_net_str @t260 @t1)) % 1.11/1.32 (define @t505 () (tptp.function_of_composition @t1 @t11 @t69 @t178 @t200)) % 1.11/1.32 (define @t506 () (tptp.function @t200)) % 1.11/1.32 (define @t507 () (tptp.quasi_total @t178 @t1 @t11)) % 1.11/1.32 (define @t508 () (and @t141 @t238 @t507 (tptp.relation_of2 @t178 @t1 @t11) @t506 (tptp.quasi_total @t200 @t11 @t69) (tptp.relation_of2 @t200 @t11 @t69))) % 1.11/1.32 (define @t509 () (@list @t1 @t11 @t69 @t178 @t200)) % 1.11/1.32 (define @t510 () (tptp.relation @t206)) % 1.11/1.32 (define @t511 () (tptp.apply_on_set_and_struct2 @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t512 () (and @t149 @t214 @t463 @t71 @t487 @t486 @t485)) % 1.11/1.32 (define @t513 () (tptp.apply_as_element @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t514 () (and @t149 @t71 @t70 @t74 @t485)) % 1.11/1.32 (define @t515 () (tptp.relation @t225)) % 1.11/1.32 (define @t516 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t69 @t178)) % 1.11/1.32 (define @t517 () (tptp.element_as_carrier_subset @t69 @t1 @t11)) % 1.11/1.32 (define @t518 () (and @t33 @t17 @t141 @t102)) % 1.11/1.32 (define @t519 () (and @t33 @t17 @t214 @t153 @t245 @t16)) % 1.11/1.32 (define @t520 () (tptp.cartesian_product2 @t3 @t3)) % 1.11/1.32 (define @t521 () (tptp.quasi_total @t7 @t520 @t3)) % 1.11/1.32 (define @t522 () (tptp.function @t7)) % 1.11/1.32 (define @t523 () (tptp.quasi_total @t12 @t14 @t3)) % 1.11/1.32 (define @t524 () (tptp.function @t12)) % 1.11/1.32 (define @t525 () (tptp.quasi_total @t8 @t520 @t3)) % 1.11/1.32 (define @t526 () (tptp.function @t8)) % 1.11/1.32 (define @t527 () (tptp.finite @t168)) % 1.11/1.32 (define @t528 () (tptp.relation_composition @t11 @t1)) % 1.11/1.32 (define @t529 () (and @t54 @t186)) % 1.11/1.32 (define @t530 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.11/1.32 (define @t531 () (tptp.relation tptp.empty_set)) % 1.11/1.32 (define @t532 () (tptp.empty tptp.empty_set)) % 1.11/1.32 (define @t533 () (tptp.relation_empty_yielding @t1)) % 1.11/1.32 (define @t534 () (and @t93 @t533)) % 1.11/1.32 (define @t535 () (tptp.relation @t2)) % 1.11/1.32 (define @t536 () (and @t65 @t114)) % 1.11/1.32 (define @t537 () (not (tptp.empty @t357))) % 1.11/1.32 (define @t538 () (not (tptp.empty @t293))) % 1.11/1.32 (define @t539 () (not (tptp.empty @t56))) % 1.11/1.32 (define @t540 () (tptp.boolean_lattstr @t286)) % 1.11/1.32 (define @t541 () (tptp.complemented_lattstr @t286)) % 1.11/1.32 (define @t542 () (tptp.bounded_lattstr @t286)) % 1.11/1.32 (define @t543 () (tptp.upper_bounded_semilattstr @t286)) % 1.11/1.32 (define @t544 () (tptp.lower_bounded_semilattstr @t286)) % 1.11/1.32 (define @t545 () (tptp.modular_lattstr @t286)) % 1.11/1.32 (define @t546 () (tptp.distributive_lattstr @t286)) % 1.11/1.32 (define @t547 () (tptp.lattice @t286)) % 1.11/1.32 (define @t548 () (tptp.join_absorbing @t286)) % 1.11/1.32 (define @t549 () (tptp.meet_absorbing @t286)) % 1.11/1.32 (define @t550 () (tptp.meet_associative @t286)) % 1.11/1.32 (define @t551 () (tptp.meet_commutative @t286)) % 1.11/1.32 (define @t552 () (tptp.join_associative @t286)) % 1.11/1.32 (define @t553 () (tptp.join_commutative @t286)) % 1.11/1.32 (define @t554 () (not (tptp.empty_carrier @t286))) % 1.11/1.32 (define @t555 () (not (tptp.empty @t294))) % 1.11/1.32 (define @t556 () (tptp.v5_membered @t331)) % 1.11/1.32 (define @t557 () (tptp.v4_membered @t331)) % 1.11/1.32 (define @t558 () (tptp.v3_membered @t331)) % 1.11/1.32 (define @t559 () (tptp.v2_membered @t331)) % 1.11/1.32 (define @t560 () (tptp.v1_membered @t331)) % 1.11/1.32 (define @t561 () (tptp.empty @t331)) % 1.11/1.32 (define @t562 () (tptp.closed_subset @t331 @t1)) % 1.11/1.32 (define @t563 () (tptp.distributive_relstr @t343)) % 1.11/1.32 (define @t564 () (tptp.join_complete_relstr @t343)) % 1.11/1.32 (define @t565 () (tptp.up_complete_relstr @t343)) % 1.11/1.32 (define @t566 () (tptp.bounded_relstr @t343)) % 1.11/1.32 (define @t567 () (tptp.upper_bounded_relstr @t343)) % 1.11/1.32 (define @t568 () (tptp.lower_bounded_relstr @t343)) % 1.11/1.32 (define @t569 () (tptp.complete_relstr @t343)) % 1.11/1.32 (define @t570 () (tptp.with_infima_relstr @t343)) % 1.11/1.32 (define @t571 () (tptp.with_suprema_relstr @t343)) % 1.11/1.32 (define @t572 () (tptp.antisymmetric_relstr @t343)) % 1.11/1.32 (define @t573 () (tptp.transitive_relstr @t343)) % 1.11/1.32 (define @t574 () (tptp.reflexive_relstr @t343)) % 1.11/1.32 (define @t575 () (not (tptp.empty_carrier @t343))) % 1.11/1.32 (define @t576 () (tptp.boolean_relstr @t343)) % 1.11/1.32 (define @t577 () (tptp.complemented_relstr @t343)) % 1.11/1.32 (define @t578 () (tptp.heyting_relstr @t343)) % 1.11/1.32 (define @t579 () (not (tptp.v1_yellow_3 @t343))) % 1.11/1.32 (define @t580 () (tptp.rel_str_of @t293 @t11)) % 1.11/1.32 (define @t581 () (tptp.with_infima_relstr @t328)) % 1.11/1.32 (define @t582 () (tptp.with_suprema_relstr @t328)) % 1.11/1.32 (define @t583 () (not (tptp.empty_carrier @t328))) % 1.11/1.32 (define @t584 () (not (tptp.empty_carrier @t404))) % 1.11/1.32 (define @t585 () (tptp.v1_membered @t168)) % 1.11/1.32 (define @t586 () (tptp.v1_membered @t167)) % 1.11/1.32 (define @t587 () (tptp.v2_membered @t168)) % 1.11/1.32 (define @t588 () (tptp.ordinal @t294)) % 1.11/1.32 (define @t589 () (tptp.epsilon_connected @t294)) % 1.11/1.32 (define @t590 () (tptp.epsilon_transitive @t294)) % 1.11/1.32 (define @t591 () (not (tptp.empty @t161))) % 1.11/1.32 (define @t592 () (tptp.function @t184)) % 1.11/1.32 (define @t593 () (tptp.v1_partfun1 @t8 @t520 @t3)) % 1.11/1.32 (define @t594 () (tptp.relation @t8)) % 1.11/1.32 (define @t595 () (and @t33 @t85 @t165)) % 1.11/1.32 (define @t596 () (and @t104 @t103 @t102)) % 1.11/1.32 (define @t597 () (and @t537 (tptp.directed_subset @t357 @t1))) % 1.11/1.32 (define @t598 () (tptp.upper_relstr_subset @t361 @t465)) % 1.11/1.32 (define @t599 () (not (tptp.empty @t361))) % 1.11/1.32 (define @t600 () (tptp.upper_bounded_relstr @t328)) % 1.11/1.32 (define @t601 () (tptp.v2_membered @t167)) % 1.11/1.32 (define @t602 () (tptp.v3_membered @t168)) % 1.11/1.32 (define @t603 () (tptp.v3_membered @t167)) % 1.11/1.32 (define @t604 () (tptp.v4_membered @t168)) % 1.11/1.32 (define @t605 () (tptp.v4_membered @t167)) % 1.11/1.32 (define @t606 () (tptp.v1_membered @t376)) % 1.11/1.32 (define @t607 () (tptp.v2_membered @t376)) % 1.11/1.32 (define @t608 () (tptp.v3_membered @t376)) % 1.11/1.32 (define @t609 () (tptp.transitive @t11)) % 1.11/1.32 (define @t610 () (tptp.antisymmetric @t11)) % 1.11/1.32 (define @t611 () (tptp.open_subset @t307 @t1)) % 1.11/1.32 (define @t612 () (tptp.lower_bounded_relstr @t328)) % 1.11/1.32 (define @t613 () (tptp.v4_membered @t376)) % 1.11/1.32 (define @t614 () (tptp.v1_partfun1 @t7 @t520 @t3)) % 1.11/1.32 (define @t615 () (tptp.relation @t7)) % 1.11/1.32 (define @t616 () (tptp.closed_subset @t307 @t1)) % 1.11/1.32 (define @t617 () (and @t537 (tptp.filtered_subset @t357 @t1))) % 1.11/1.32 (define @t618 () (tptp.transitive_relstr @t378)) % 1.11/1.32 (define @t619 () (tptp.reflexive_relstr @t378)) % 1.11/1.32 (define @t620 () (and @t186 @t134)) % 1.11/1.32 (define @t621 () (tptp.closed_subset @t357 @t1)) % 1.11/1.32 (define @t622 () (tptp.empty @t219)) % 1.11/1.32 (define @t623 () (and @t149 @t93)) % 1.11/1.32 (define @t624 () (tptp.interior @t1 @t331)) % 1.11/1.32 (define @t625 () (tptp.antisymmetric_relstr @t319)) % 1.11/1.32 (define @t626 () (tptp.transitive_relstr @t319)) % 1.11/1.32 (define @t627 () (tptp.reflexive_relstr @t319)) % 1.11/1.32 (define @t628 () (tptp.empty @t387)) % 1.11/1.32 (define @t629 () (tptp.open_subset @t308 @t1)) % 1.11/1.32 (define @t630 () (and @t214 @t450 @t287)) % 1.11/1.32 (define @t631 () (= @t1 @t178)) % 1.11/1.32 (define @t632 () (tptp.top_str @t11)) % 1.11/1.32 (define @t633 () (tptp.topological_space @t11)) % 1.11/1.32 (define @t634 () (tptp.powerset @t14)) % 1.11/1.32 (define @t635 () (tptp.element @t178 @t634)) % 1.11/1.32 (define @t636 () (tptp.net_str @t69 @t11)) % 1.11/1.32 (define @t637 () (exists @t193 (and @t211 @t631 (tptp.latt_set_smaller @t11 @t178 @t69)))) % 1.11/1.32 (define @t638 () (tptp.boole_POSet (tptp.cast_as_carrier_subset @t11))) % 1.11/1.32 (define @t639 () (exists @t205 (and @t211 (tptp.element_as_carrier_subset @t200 @t638 @t69) (= @t1 @t201) @t253))) % 1.11/1.32 (define @t640 () (tptp.powerset (tptp.the_carrier @t638))) % 1.11/1.32 (define @t641 () (tptp.element @t69 @t640)) % 1.11/1.32 (define @t642 () (tptp.upper_relstr_subset @t69 @t638)) % 1.11/1.32 (define @t643 () (tptp.filtered_subset @t69 @t638)) % 1.11/1.32 (define @t644 () (= @t1 @t200)) % 1.11/1.32 (define @t645 () (exists @t210 (and (tptp.element @t200 @t230) @t644 (tptp.related @t69 @t178 @t200)))) % 1.11/1.32 (define @t646 () (tptp.element @t178 @t230)) % 1.11/1.32 (define @t647 () (tptp.boole_POSet @t69)) % 1.11/1.32 (define @t648 () (not (tptp.empty @t178))) % 1.11/1.32 (define @t649 () (= @t1 @t69)) % 1.11/1.32 (define @t650 () (and @t649 @t330)) % 1.11/1.32 (define @t651 () (@var "H" $$unsorted)) % 1.11/1.32 (define @t652 () (= @t178 @t651)) % 1.11/1.32 (define @t653 () (= @t69 @t231)) % 1.11/1.32 (define @t654 () (@list @t178 @t200 @t231)) % 1.11/1.32 (define @t655 () (tptp.in @t11 @t226)) % 1.11/1.32 (define @t656 () (tptp.disjoint @t293 @t11)) % 1.11/1.32 (define @t657 () (not @t22)) % 1.11/1.32 (define @t658 () (tptp.well_ordering @t11)) % 1.11/1.32 (define @t659 () (tptp.in (tptp.ordered_pair @t69 @t11) @t1)) % 1.11/1.32 (define @t660 () (tptp.singleton @t69)) % 1.11/1.32 (define @t661 () (not @t278)) % 1.11/1.32 (define @t662 () (tptp.singleton @t11)) % 1.11/1.32 (define @t663 () (tptp.union @t11)) % 1.11/1.32 (define @t664 () (tptp.in @t1 @t69)) % 1.11/1.32 (define @t665 () (tptp.cartesian_product2 @t69 @t178)) % 1.11/1.32 (define @t666 () (tptp.element @t1 @t494)) % 1.11/1.32 (define @t667 () (tptp.relation_dom_restriction @t69 @t1)) % 1.11/1.32 (define @t668 () (tptp.in @t11 (tptp.relation_dom @t667))) % 1.11/1.32 (define @t669 () (and @t33 @t31 @t41 @t5)) % 1.11/1.32 (define @t670 () (tptp.lower_relstr_subset @t11 @t1)) % 1.11/1.32 (define @t671 () (not @t122)) % 1.11/1.32 (define @t672 () (tptp.strict_net_str @t69 @t1)) % 1.11/1.32 (define @t673 () (tptp.proper_element @t11 @t56)) % 1.11/1.32 (define @t674 () (tptp.proper_element @t11 @t101)) % 1.11/1.32 (define @t675 () (tptp.relation_dom_restriction @t69 @t178)) % 1.11/1.32 (define @t676 () (tptp.unordered_pair @t11 @t69)) % 1.11/1.32 (define @t677 () (tptp.set_union2 @t11 @t69)) % 1.11/1.32 (define @t678 () (tptp.set_intersection2 @t11 @t69)) % 1.11/1.32 (define @t679 () (tptp.set_difference @t11 @t69)) % 1.11/1.32 (define @t680 () (tptp.relation_composition @t178 @t200)) % 1.11/1.32 (define @t681 () (tptp.below_refl @t1 @t11 @t69)) % 1.11/1.32 (define @t682 () (and @t33 @t83 @t81 @t80 @t10 @t159 @t158)) % 1.11/1.32 (define @t683 () (and @t33 @t31 @t5 @t159 @t158)) % 1.11/1.32 (define @t684 () (@var "K" $$unsorted)) % 1.11/1.32 (define @t685 () (@var "J" $$unsorted)) % 1.11/1.32 (define @t686 () (tptp.in @t684 @t685)) % 1.11/1.32 (define @t687 () (@list @t684)) % 1.11/1.32 (define @t688 () (@list @t685)) % 1.11/1.32 (define @t689 () (= @t178 @t200)) % 1.11/1.32 (define @t690 () (@var "I" $$unsorted)) % 1.11/1.32 (define @t691 () (tptp.in @t690 @t651)) % 1.11/1.32 (define @t692 () (@list @t690)) % 1.11/1.32 (define @t693 () (@list @t651)) % 1.11/1.32 (define @t694 () (exists @t693 (and (= @t69 @t651) (tptp.in @t200 @t651) (forall @t692 (=> @t691 (tptp.in (tptp.ordered_pair @t200 @t690) @t11)))))) % 1.11/1.32 (define @t695 () (tptp.in @t229 @t231)) % 1.11/1.32 (define @t696 () (exists @t236 (and @t653 (tptp.in @t178 @t231) (forall @t234 (=> @t695 (tptp.in (tptp.ordered_pair @t178 @t229) @t11)))))) % 1.11/1.32 (define @t697 () (forall @t418 (=> (and @t180 @t696 @t180 @t694) @t689))) % 1.11/1.32 (define @t698 () (and @t149 @t186)) % 1.11/1.32 (define @t699 () (= @t178 @t662)) % 1.11/1.32 (define @t700 () (= @t69 @t662)) % 1.11/1.32 (define @t701 () (forall @t279 (=> (and @t20 @t700 @t20 @t699) @t179))) % 1.11/1.32 (define @t702 () (tptp.subset_complement @t3 @t651)) % 1.11/1.32 (define @t703 () (= @t651 @t178)) % 1.11/1.32 (define @t704 () (tptp.element @t651 @t101)) % 1.11/1.32 (define @t705 () (forall @t693 (=> @t704 (=> @t703 (= @t200 @t702))))) % 1.11/1.32 (define @t706 () (tptp.complements_of_subsets @t3 @t11)) % 1.11/1.32 (define @t707 () (tptp.in @t178 @t706)) % 1.11/1.32 (define @t708 () (tptp.element @t229 @t101)) % 1.11/1.32 (define @t709 () (forall @t234 (=> @t708 (=> (= @t229 @t69) (= @t200 (tptp.subset_complement @t3 @t229)))))) % 1.11/1.32 (define @t710 () (tptp.in @t69 @t706)) % 1.11/1.32 (define @t711 () (tptp.element @t231 @t101)) % 1.11/1.32 (define @t712 () (forall @t236 (=> @t711 (=> (= @t231 @t69) (= @t178 (tptp.subset_complement @t3 @t231)))))) % 1.11/1.32 (define @t713 () (forall @t418 (=> (and @t710 @t712 @t710 @t709) @t689))) % 1.11/1.32 (define @t714 () (and @t17 @t299)) % 1.11/1.32 (define @t715 () (forall @t418 (=> (and @t300 @t712 @t300 @t709) @t689))) % 1.11/1.32 (define @t716 () (tptp.ordinal @t69)) % 1.11/1.32 (define @t717 () (@var "S" $$unsorted)) % 1.11/1.32 (define @t718 () (@var "T" $$unsorted)) % 1.11/1.32 (define @t719 () (@var "R" $$unsorted)) % 1.11/1.32 (define @t720 () (@list @t717)) % 1.11/1.32 (define @t721 () (tptp.powerset (tptp.powerset @t178))) % 1.11/1.32 (define @t722 () (@list @t719)) % 1.11/1.32 (define @t723 () (tptp.in @t178 tptp.omega)) % 1.11/1.32 (define @t724 () (tptp.ordinal @t178)) % 1.11/1.32 (define @t725 () (@var "P" $$unsorted)) % 1.11/1.32 (define @t726 () (@var "Q" $$unsorted)) % 1.11/1.32 (define @t727 () (@var "O" $$unsorted)) % 1.11/1.32 (define @t728 () (tptp.in @t726 @t727)) % 1.11/1.32 (define @t729 () (@list @t726)) % 1.11/1.32 (define @t730 () (@list @t725)) % 1.11/1.32 (define @t731 () (@list @t727)) % 1.11/1.32 (define @t732 () (@var "M" $$unsorted)) % 1.11/1.32 (define @t733 () (@var "N" $$unsorted)) % 1.11/1.32 (define @t734 () (@var "L" $$unsorted)) % 1.11/1.32 (define @t735 () (@list @t733)) % 1.11/1.32 (define @t736 () (tptp.in @t732 @t734)) % 1.11/1.32 (define @t737 () (@list @t732)) % 1.11/1.32 (define @t738 () (@list @t734)) % 1.11/1.32 (define @t739 () (= @t685 @t690)) % 1.11/1.32 (define @t740 () (tptp.in @t685 @t651)) % 1.11/1.32 (define @t741 () (tptp.succ @t178)) % 1.11/1.32 (define @t742 () (= @t229 @t231)) % 1.11/1.32 (define @t743 () (tptp.in @t231 @t200)) % 1.11/1.32 (define @t744 () (=> @t723 (forall @t210 (=> (tptp.element @t200 @t721) (not (and (not (= @t200 tptp.empty_set)) (forall @t236 (not (and @t743 (forall @t234 (=> (and (tptp.in @t229 @t200) (tptp.subset @t231 @t229)) @t742))))))))))) % 1.11/1.32 (define @t745 () (tptp.subset @t11 @t69)) % 1.11/1.32 (define @t746 () (tptp.powerset tptp.empty_set)) % 1.11/1.32 (define @t747 () (tptp.apply @t69 @t231)) % 1.11/1.32 (define @t748 () (tptp.in @t231 @t1)) % 1.11/1.32 (define @t749 () (tptp.relation @t178)) % 1.11/1.32 (define @t750 () (and @t186 @t95 @t71)) % 1.11/1.32 (define @t751 () (forall @t687 (=> @t686 (tptp.in (tptp.ordered_pair @t178 @t684) @t11)))) % 1.11/1.32 (define @t752 () (tptp.in @t178 @t685)) % 1.11/1.32 (define @t753 () (tptp.cartesian_product2 @t1 @t69)) % 1.11/1.32 (define @t754 () (= @t200 @t231)) % 1.11/1.32 (define @t755 () (= @t684 @t732)) % 1.11/1.32 (define @t756 () (tptp.ordered_pair @t684 @t734)) % 1.11/1.32 (define @t757 () (@list @t684 @t734)) % 1.11/1.32 (define @t758 () (= @t178 @t231)) % 1.11/1.32 (define @t759 () (tptp.in @t685 @t690)) % 1.11/1.32 (define @t760 () (tptp.in @t229 @t1)) % 1.11/1.32 (define @t761 () (tptp.ordered_pair @t229 @t651)) % 1.11/1.32 (define @t762 () (= @t761 @t200)) % 1.11/1.32 (define @t763 () (@list @t229 @t651)) % 1.11/1.32 (define @t764 () (tptp.powerset @t69)) % 1.11/1.32 (define @t765 () (tptp.in @t685 @t11)) % 1.11/1.32 (define @t766 () (tptp.in @t651 @t11)) % 1.11/1.32 (define @t767 () (tptp.element @t651 @t3)) % 1.11/1.32 (define @t768 () (= @t229 @t200)) % 1.11/1.32 (define @t769 () (tptp.element @t69 @t494)) % 1.11/1.32 (define @t770 () (and @t33 @t41 @t5 @t102 @t347 @t769)) % 1.11/1.32 (define @t771 () (tptp.ordered_pair @t685 @t684)) % 1.11/1.32 (define @t772 () (@list @t685 @t684)) % 1.11/1.32 (define @t773 () (= @t200 @t178)) % 1.11/1.32 (define @t774 () (tptp.in @t651 @t1)) % 1.11/1.32 (define @t775 () (tptp.ordered_pair @t651 @t690)) % 1.11/1.32 (define @t776 () (@list @t651 @t690)) % 1.11/1.32 (define @t777 () (= @t69 @t200)) % 1.11/1.32 (define @t778 () (tptp.ordered_pair @t231 @t229)) % 1.11/1.32 (define @t779 () (@list @t231 @t229)) % 1.11/1.32 (define @t780 () (= @t725 @t727)) % 1.11/1.32 (define @t781 () (not (and (not (= @t231 tptp.empty_set)) (forall @t234 (not (and @t695 (forall @t693 (=> (and (tptp.in @t651 @t231) (tptp.subset @t229 @t651)) (= @t651 @t229))))))))) % 1.11/1.32 (define @t782 () (tptp.ordinal @t200)) % 1.11/1.32 (define @t783 () (tptp.subset @t11 @t178)) % 1.11/1.32 (define @t784 () (tptp.in @t200 @t101)) % 1.11/1.32 (define @t785 () (= @t231 @t178)) % 1.11/1.32 (define @t786 () (tptp.in (tptp.set_difference @t357 @t178) @t11)) % 1.11/1.32 (define @t787 () (and @t104 @t103 @t299)) % 1.11/1.32 (define @t788 () (tptp.in @t229 @t11)) % 1.11/1.32 (define @t789 () (and @t64 (tptp.element @t11 (tptp.powerset (tptp.powerset @t294))))) % 1.11/1.32 (define @t790 () (= @t178 @t702)) % 1.11/1.32 (define @t791 () (forall @t693 (=> @t704 (=> (= @t651 @t200) @t790)))) % 1.11/1.32 (define @t792 () (tptp.in @t200 @t706)) % 1.11/1.32 (define @t793 () (forall @t731 (=> (tptp.element @t727 @t101) (=> (= @t727 @t732) (= @t733 (tptp.subset_complement @t3 @t727)))))) % 1.11/1.32 (define @t794 () (= (tptp.ordered_pair @t732 @t733) @t200)) % 1.11/1.32 (define @t795 () (@list @t732 @t733)) % 1.11/1.32 (define @t796 () (tptp.cartesian_product2 @t706 @t69)) % 1.11/1.32 (define @t797 () (= @t734 @t685)) % 1.11/1.32 (define @t798 () (forall @t738 (=> (tptp.element @t734 @t101) (=> @t797 (= @t684 (tptp.subset_complement @t3 @t734)))))) % 1.11/1.32 (define @t799 () (= @t771 @t231)) % 1.11/1.32 (define @t800 () (tptp.subset_complement @t3 @t690)) % 1.11/1.32 (define @t801 () (tptp.element @t690 @t101)) % 1.11/1.32 (define @t802 () (forall @t692 (=> @t801 (=> (= @t690 @t229) (= @t651 @t800))))) % 1.11/1.32 (define @t803 () (tptp.cartesian_product2 @t11 @t69)) % 1.11/1.32 (define @t804 () (tptp.apply @t69 @t229)) % 1.11/1.32 (define @t805 () (tptp.in (tptp.relation_image @t69 @t200) @t11)) % 1.11/1.32 (define @t806 () (tptp.powerset @t373)) % 1.11/1.32 (define @t807 () (and @t421 @t95 @t71)) % 1.11/1.32 (define @t808 () (tptp.subnetstr_of_element @t1 @t11 @t732)) % 1.11/1.32 (define @t809 () (= @t734 (tptp.relation_rng_as_subset (tptp.the_carrier @t808) @t3 (tptp.the_mapping @t1 @t808)))) % 1.11/1.32 (define @t810 () (tptp.topstr_closure @t1 @t734)) % 1.11/1.32 (define @t811 () (tptp.element @t732 @t14)) % 1.11/1.32 (define @t812 () (tptp.netstr_induced_subset @t734 @t1 @t11)) % 1.11/1.32 (define @t813 () (= @t231 @t229)) % 1.11/1.32 (define @t814 () (tptp.subnetstr_of_element @t1 @t11 @t684)) % 1.11/1.32 (define @t815 () (tptp.relation_rng_as_subset (tptp.the_carrier @t814) @t3 (tptp.the_mapping @t1 @t814))) % 1.11/1.32 (define @t816 () (tptp.element @t684 @t14)) % 1.11/1.32 (define @t817 () (= @t200 @t229)) % 1.11/1.32 (define @t818 () (tptp.subnetstr_of_element @t1 @t11 @t690)) % 1.11/1.32 (define @t819 () (@list @t200 @t231 @t229)) % 1.11/1.32 (define @t820 () (@var "Y" $$unsorted)) % 1.11/1.32 (define @t821 () (tptp.subnetstr_of_element @t1 @t11 @t820)) % 1.11/1.32 (define @t822 () (@var "X" $$unsorted)) % 1.11/1.32 (define @t823 () (= @t822 (tptp.relation_rng_as_subset (tptp.the_carrier @t821) @t3 (tptp.the_mapping @t1 @t821)))) % 1.11/1.32 (define @t824 () (@var "W" $$unsorted)) % 1.11/1.32 (define @t825 () (= @t824 @t820)) % 1.11/1.32 (define @t826 () (= @t718 (tptp.topstr_closure @t1 @t822))) % 1.11/1.32 (define @t827 () (tptp.element @t820 @t14)) % 1.11/1.32 (define @t828 () (and @t827 @t826 @t825 @t823)) % 1.11/1.32 (define @t829 () (@list @t820)) % 1.11/1.32 (define @t830 () (exists @t829 @t828)) % 1.11/1.32 (define @t831 () (tptp.netstr_induced_subset @t822 @t1 @t11)) % 1.11/1.32 (define @t832 () (and @t831 @t830)) % 1.11/1.32 (define @t833 () (@list @t822)) % 1.11/1.32 (define @t834 () (exists @t833 @t832)) % 1.11/1.32 (define @t835 () (tptp.in @t824 @t14)) % 1.11/1.32 (define @t836 () (and @t835 @t834)) % 1.11/1.32 (define @t837 () (@var "V" $$unsorted)) % 1.11/1.32 (define @t838 () (tptp.in @t824 @t837)) % 1.11/1.32 (define @t839 () (= @t838 @t836)) % 1.11/1.32 (define @t840 () (@list @t824)) % 1.11/1.32 (define @t841 () (forall @t840 @t839)) % 1.11/1.32 (define @t842 () (@var "U" $$unsorted)) % 1.11/1.32 (define @t843 () (= @t842 @t837)) % 1.11/1.32 (define @t844 () (and @t843 @t841)) % 1.11/1.32 (define @t845 () (@list @t837)) % 1.11/1.32 (define @t846 () (exists @t845 @t844)) % 1.11/1.32 (define @t847 () (tptp.in @t718 @t69)) % 1.11/1.32 (define @t848 () (tptp.ordered_pair @t718 @t842)) % 1.11/1.32 (define @t849 () (and (= @t848 @t231) @t847 @t846)) % 1.11/1.32 (define @t850 () (@list @t718 @t842)) % 1.11/1.32 (define @t851 () (exists @t850 @t849)) % 1.11/1.32 (define @t852 () (tptp.in @t229 @t665)) % 1.11/1.32 (define @t853 () (and @t852 @t742 @t851)) % 1.11/1.32 (define @t854 () (exists @t234 @t853)) % 1.11/1.32 (define @t855 () (= @t743 @t854)) % 1.11/1.32 (define @t856 () (forall @t236 @t855)) % 1.11/1.32 (define @t857 () (exists @t210 @t856)) % 1.11/1.32 (define @t858 () (tptp.subnetstr_of_element @t1 @t11 @t717)) % 1.11/1.32 (define @t859 () (= @t719 (tptp.relation_rng_as_subset (tptp.the_carrier @t858) @t3 (tptp.the_mapping @t1 @t858)))) % 1.11/1.32 (define @t860 () (= @t726 @t717)) % 1.11/1.32 (define @t861 () (= @t733 (tptp.topstr_closure @t1 @t719))) % 1.11/1.32 (define @t862 () (tptp.element @t717 @t14)) % 1.11/1.32 (define @t863 () (and @t862 @t861 @t860 @t859)) % 1.11/1.32 (define @t864 () (exists @t720 @t863)) % 1.11/1.32 (define @t865 () (tptp.netstr_induced_subset @t719 @t1 @t11)) % 1.11/1.32 (define @t866 () (and @t865 @t864)) % 1.11/1.32 (define @t867 () (exists @t722 @t866)) % 1.11/1.32 (define @t868 () (tptp.in @t726 @t14)) % 1.11/1.32 (define @t869 () (and @t868 @t867)) % 1.11/1.32 (define @t870 () (tptp.in @t726 @t725)) % 1.11/1.32 (define @t871 () (= @t870 @t869)) % 1.11/1.32 (define @t872 () (forall @t729 @t871)) % 1.11/1.32 (define @t873 () (= @t727 @t725)) % 1.11/1.32 (define @t874 () (and @t873 @t872)) % 1.11/1.32 (define @t875 () (exists @t730 @t874)) % 1.11/1.32 (define @t876 () (tptp.in @t733 @t69)) % 1.11/1.32 (define @t877 () (tptp.ordered_pair @t733 @t727)) % 1.11/1.32 (define @t878 () (and (= @t877 @t229) @t876 @t875)) % 1.11/1.32 (define @t879 () (@list @t733 @t727)) % 1.11/1.32 (define @t880 () (exists @t879 @t878)) % 1.11/1.32 (define @t881 () (= @t651 @t810)) % 1.11/1.32 (define @t882 () (and @t811 @t881 @t755 @t809)) % 1.11/1.32 (define @t883 () (exists @t737 @t882)) % 1.11/1.32 (define @t884 () (and @t812 @t883)) % 1.11/1.32 (define @t885 () (exists @t738 @t884)) % 1.11/1.32 (define @t886 () (tptp.in @t684 @t14)) % 1.11/1.32 (define @t887 () (and @t886 @t885)) % 1.11/1.32 (define @t888 () (= @t686 @t887)) % 1.11/1.32 (define @t889 () (forall @t687 @t888)) % 1.11/1.32 (define @t890 () (= @t690 @t685)) % 1.11/1.32 (define @t891 () (and @t890 @t889)) % 1.11/1.32 (define @t892 () (exists @t688 @t891)) % 1.11/1.32 (define @t893 () (tptp.in @t651 @t69)) % 1.11/1.32 (define @t894 () (and (= @t775 @t231) @t893 @t892)) % 1.11/1.32 (define @t895 () (exists @t776 @t894)) % 1.11/1.32 (define @t896 () (and @t754 @t895 @t817 @t880)) % 1.11/1.32 (define @t897 () (=> @t896 @t813)) % 1.11/1.32 (define @t898 () (forall @t819 @t897)) % 1.11/1.32 (define @t899 () (=> @t898 @t857)) % 1.11/1.32 (define @t900 () (forall @t193 @t899)) % 1.11/1.32 (define @t901 () (=> @t452 @t900)) % 1.11/1.32 (define @t902 () (forall @t75 @t901)) % 1.11/1.32 (define @t903 () (tptp.succ @t11)) % 1.11/1.32 (define @t904 () (= @t231 @t651)) % 1.11/1.32 (define @t905 () (= @t778 @t200)) % 1.11/1.32 (define @t906 () (exists @t234 (and (tptp.element @t229 @t3) @t788 (tptp.relstr_set_smaller @t1 @t231 @t229)))) % 1.11/1.32 (define @t907 () (tptp.singleton @t200)) % 1.11/1.32 (define @t908 () (exists @t210 (and @t254 @t773 (tptp.closed_subset @t200 @t1) @t783))) % 1.11/1.32 (define @t909 () (tptp.in @t178 @t101)) % 1.11/1.32 (define @t910 () (forall @t693 (=> @t704 (=> (= @t651 @t231) (= @t229 @t702))))) % 1.11/1.32 (define @t911 () (tptp.subnetstr_of_element @t1 @t11 @t651)) % 1.11/1.32 (define @t912 () (tptp.in @t231 @t14)) % 1.11/1.32 (define @t913 () (tptp.subnetstr_of_element @t1 @t11 @t734)) % 1.11/1.32 (define @t914 () (= @t684 (tptp.relation_rng_as_subset (tptp.the_carrier @t913) @t3 (tptp.the_mapping @t1 @t913)))) % 1.11/1.32 (define @t915 () (= @t685 @t734)) % 1.11/1.32 (define @t916 () (= @t229 (tptp.topstr_closure @t1 @t684))) % 1.11/1.32 (define @t917 () (tptp.element @t734 @t14)) % 1.11/1.32 (define @t918 () (and @t917 @t916 @t915 @t914)) % 1.11/1.32 (define @t919 () (exists @t738 @t918)) % 1.11/1.32 (define @t920 () (tptp.netstr_induced_subset @t684 @t1 @t11)) % 1.11/1.32 (define @t921 () (and @t920 @t919)) % 1.11/1.32 (define @t922 () (exists @t687 @t921)) % 1.11/1.32 (define @t923 () (tptp.in @t685 @t14)) % 1.11/1.32 (define @t924 () (and @t923 @t922)) % 1.11/1.32 (define @t925 () (= @t759 @t924)) % 1.11/1.32 (define @t926 () (forall @t688 @t925)) % 1.11/1.32 (define @t927 () (= @t651 @t690)) % 1.11/1.32 (define @t928 () (and @t927 @t926)) % 1.11/1.32 (define @t929 () (exists @t692 @t928)) % 1.11/1.32 (define @t930 () (tptp.in @t229 @t69)) % 1.11/1.32 (define @t931 () (and (= @t761 @t231) @t930 @t929)) % 1.11/1.32 (define @t932 () (exists @t763 @t931)) % 1.11/1.32 (define @t933 () (tptp.in @t231 @t665)) % 1.11/1.32 (define @t934 () (and @t933 @t932)) % 1.11/1.32 (define @t935 () (= @t743 @t934)) % 1.11/1.32 (define @t936 () (forall @t236 @t935)) % 1.11/1.32 (define @t937 () (exists @t210 @t936)) % 1.11/1.32 (define @t938 () (forall @t193 @t937)) % 1.11/1.32 (define @t939 () (=> @t452 @t938)) % 1.11/1.32 (define @t940 () (forall @t75 @t939)) % 1.11/1.32 (define @t941 () (not @t940)) % 1.11/1.32 (define @t942 () (tptp.in @t200 @t69)) % 1.11/1.32 (define @t943 () (tptp.apply @t11 @t69)) % 1.11/1.32 (define @t944 () (= @t275 @t1)) % 1.11/1.32 (define @t945 () (exists @t27 (and @t186 @t134 @t944 (forall @t140 (=> @t180 (= @t943 @t660)))))) % 1.11/1.32 (define @t946 () (forall @t692 (=> @t801 (=> (= @t690 @t178) (= @t407 @t800))))) % 1.11/1.32 (define @t947 () (forall @t193 (not (forall @t693 (=> @t704 (=> (= @t651 @t69) @t790)))))) % 1.11/1.32 (define @t948 () (tptp.in @t684 @t690)) % 1.11/1.32 (define @t949 () (tptp.in @t1 tptp.omega)) % 1.11/1.32 (define @t950 () (= @t419 tptp.empty_set)) % 1.11/1.32 (define @t951 () (not (and @t326 @t950))) % 1.11/1.32 (define @t952 () (tptp.relation_rng @t225)) % 1.11/1.32 (define @t953 () (tptp.meet_of_subsets @t1 @t419)) % 1.11/1.32 (define @t954 () (tptp.upper_relstr_subset @t11 @t343)) % 1.11/1.32 (define @t955 () (tptp.the_carrier @t343)) % 1.11/1.32 (define @t956 () (tptp.powerset @t955)) % 1.11/1.32 (define @t957 () (tptp.element @t11 @t956)) % 1.11/1.32 (define @t958 () (tptp.union_of_subsets @t1 @t419)) % 1.11/1.32 (define @t959 () (tptp.the_carrier @t404)) % 1.11/1.32 (define @t960 () (forall @t140 (not (and @t348 (not (tptp.are_equipotent @t69 @t11)) @t354)))) % 1.11/1.32 (define @t961 () (forall @t183 (=> (and @t300 (tptp.subset @t178 @t69)) @t203))) % 1.11/1.32 (define @t962 () (tptp.meet_of_subsets @t3 @t11)) % 1.11/1.32 (define @t963 () (tptp.in @t69 @t267)) % 1.11/1.32 (define @t964 () (tptp.relation_dom_restriction @t69 @t11)) % 1.11/1.32 (define @t965 () (tptp.relation_image @t11 @t1)) % 1.11/1.32 (define @t966 () (tptp.relation_inverse_image @t11 @t1)) % 1.11/1.32 (define @t967 () (tptp.relation_image @t11 @t966)) % 1.11/1.32 (define @t968 () (tptp.set_intersection2 @t275 @t1)) % 1.11/1.32 (define @t969 () (tptp.subset @t1 @t276)) % 1.11/1.32 (define @t970 () (tptp.relation_of2_as_subset @t178 @t69 @t11)) % 1.11/1.32 (define @t971 () (tptp.relation_rng @t178)) % 1.11/1.32 (define @t972 () (tptp.relation_of2_as_subset @t178 @t69 @t1)) % 1.11/1.32 (define @t973 () (tptp.net_of_bool_filter @t1 @t357 @t11)) % 1.11/1.32 (define @t974 () (tptp.filter_of_net_str @t1 @t973)) % 1.11/1.32 (define @t975 () (tptp.singleton tptp.empty_set)) % 1.11/1.32 (define @t976 () (tptp.element @t11 @t466)) % 1.11/1.32 (define @t977 () (tptp.upper_relstr_subset @t11 @t465)) % 1.11/1.32 (define @t978 () (tptp.filtered_subset @t11 @t465)) % 1.11/1.32 (define @t979 () (and @t141 @t978 @t977 (tptp.proper_element @t11 @t466) @t976)) % 1.11/1.32 (define @t980 () (and @t40 @t5)) % 1.11/1.32 (define @t981 () (tptp.relation_rng @t417)) % 1.11/1.32 (define @t982 () (tptp.relation_inverse_image @t69 @t11)) % 1.11/1.32 (define @t983 () (tptp.relation_restriction @t69 @t11)) % 1.11/1.32 (define @t984 () (tptp.relation_restriction @t11 @t1)) % 1.11/1.32 (define @t985 () (tptp.relation_dom_restriction @t11 @t1)) % 1.11/1.32 (define @t986 () (tptp.relation_field @t69)) % 1.11/1.32 (define @t987 () (tptp.in @t1 @t986)) % 1.11/1.32 (define @t988 () (tptp.subset @t1 @t69)) % 1.11/1.32 (define @t989 () (tptp.the_carrier @t286)) % 1.11/1.32 (define @t990 () (tptp.element @t69 @t989)) % 1.11/1.32 (define @t991 () (tptp.element @t11 @t989)) % 1.11/1.32 (define @t992 () (tptp.element @t1 @t11)) % 1.11/1.32 (define @t993 () (tptp.relstr_set_smaller @t1 @t69 @t178)) % 1.11/1.32 (define @t994 () (tptp.in @t1 @t373)) % 1.11/1.32 (define @t995 () (tptp.in @t391 @t69)) % 1.11/1.32 (define @t996 () (tptp.relation_field @t984)) % 1.11/1.32 (define @t997 () (tptp.apply @t69 @t1)) % 1.11/1.32 (define @t998 () (tptp.relation_composition @t69 @t11)) % 1.11/1.32 (define @t999 () (tptp.in @t1 (tptp.relation_dom @t998))) % 1.11/1.32 (define @t1000 () (tptp.apply @t178 @t69)) % 1.11/1.32 (define @t1001 () (and @t238 @t507 (tptp.relation_of2_as_subset @t178 @t1 @t11))) % 1.11/1.32 (define @t1002 () (tptp.connected @t11)) % 1.11/1.32 (define @t1003 () (tptp.in @t69 @t255)) % 1.11/1.32 (define @t1004 () (tptp.well_ordering @t984)) % 1.11/1.32 (define @t1005 () (= @t996 @t1)) % 1.11/1.32 (define @t1006 () (tptp.well_orders @t11 @t1)) % 1.11/1.32 (define @t1007 () (tptp.cast_to_el_of_LattPOSet @t11 @t69)) % 1.11/1.32 (define @t1008 () (tptp.poset_of_lattice @t11)) % 1.11/1.32 (define @t1009 () (tptp.cast_to_el_of_lattice @t11 @t69)) % 1.11/1.32 (define @t1010 () (tptp.element @t69 (tptp.the_carrier @t1008))) % 1.11/1.32 (define @t1011 () (and (= @t11 (tptp.join_on_relstr @t1 @t69)) (tptp.ex_sup_of_relstr_set @t1 @t69))) % 1.11/1.32 (define @t1012 () (and (tptp.relstr_set_smaller @t1 @t69 @t11) (forall @t193 (=> @t192 (=> @t993 @t340))))) % 1.11/1.32 (define @t1013 () (tptp.well_founded_relation @t11)) % 1.11/1.32 (define @t1014 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 1.11/1.32 (define @t1015 () (and @t180 @t300)) % 1.11/1.32 (define @t1016 () (not @t410)) % 1.11/1.32 (define @t1017 () (= @t1 @t903)) % 1.11/1.32 (define @t1018 () (and @t33 @t40 @t46 @t5)) % 1.11/1.32 (define @t1019 () (tptp.subset_complement @t1 @t69)) % 1.11/1.32 (define @t1020 () (tptp.disjoint @t11 @t69)) % 1.11/1.32 (define @t1021 () (tptp.relation_dom @t417)) % 1.11/1.32 (define @t1022 () (and (tptp.closed_subset @t178 @t1) @t783)) % 1.11/1.32 (define @t1023 () (tptp.element @t11 @t764)) % 1.11/1.32 (define @t1024 () (tptp.in @t69 @t168)) % 1.11/1.32 (define @t1025 () (= @t255 @t11)) % 1.11/1.32 (define @t1026 () (and (tptp.in @t69 @t387) (= @t178 @t943))) % 1.11/1.32 (define @t1027 () (tptp.function_inverse @t11)) % 1.11/1.32 (define @t1028 () (tptp.related @t11 @t200 @t231)) % 1.11/1.32 (define @t1029 () (= @t387 tptp.empty_set)) % 1.11/1.32 (define @t1030 () (= @t219 tptp.empty_set)) % 1.11/1.32 (define @t1031 () (= (tptp.apply @t667 @t11) (tptp.apply @t69 @t11))) % 1.11/1.32 (define @t1032 () (= @t293 @t676)) % 1.11/1.32 (define @t1033 () (@var "BOUND_VARIABLE_24515" $$unsorted)) % 1.11/1.32 (define @t1034 () (tptp.in @t824 @t842)) % 1.11/1.32 (define @t1035 () (tptp.subnetstr_of_element @t1 @t11 @t824)) % 1.11/1.32 (define @t1036 () (tptp.relation_rng_as_subset (tptp.the_carrier @t1035) @t3 (tptp.the_mapping @t1 @t1035))) % 1.11/1.32 (define @t1037 () (= @t718 (tptp.topstr_closure @t1 @t1036))) % 1.11/1.32 (define @t1038 () (tptp.netstr_induced_subset @t1036 @t1 @t11)) % 1.11/1.32 (define @t1039 () (tptp.element @t824 @t14)) % 1.11/1.32 (define @t1040 () (and @t835 @t1039 @t1038 @t1037)) % 1.11/1.32 (define @t1041 () (forall @t840 (= @t1040 @t1034))) % 1.11/1.32 (define @t1042 () (not @t1041)) % 1.11/1.32 (define @t1043 () (not @t847)) % 1.11/1.32 (define @t1044 () (= @t231 @t848)) % 1.11/1.32 (define @t1045 () (not @t1044)) % 1.11/1.32 (define @t1046 () (or @t1045 @t1043 @t1042)) % 1.11/1.32 (define @t1047 () (forall @t850 @t1046)) % 1.11/1.32 (define @t1048 () (not @t1047)) % 1.11/1.32 (define @t1049 () (not (forall @t210 (not (forall @t236 (= @t743 (and @t1048 (tptp.in @t231 (tptp.cartesian_product2 @t69 @t1033))))))))) % 1.11/1.32 (define @t1050 () (not @t16)) % 1.11/1.32 (define @t1051 () (not @t245)) % 1.11/1.32 (define @t1052 () (not @t153)) % 1.11/1.32 (define @t1053 () (not @t103)) % 1.11/1.32 (define @t1054 () (not @t104)) % 1.11/1.32 (define @t1055 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1049)) % 1.11/1.32 (define @t1056 () (forall (@list @t1 @t11 @t69 @t1033) @t1055)) % 1.11/1.32 (define @t1057 () (@list @t1033)) % 1.11/1.32 (define @t1058 () (forall @t1057 @t1055)) % 1.11/1.32 (define @t1059 () (forall @t1057 @t1049)) % 1.11/1.32 (define @t1060 () (@list @t178)) % 1.11/1.32 (define @t1061 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1059)) % 1.11/1.32 (define @t1062 () (forall @t236 (= @t743 (and @t1048 @t933)))) % 1.11/1.32 (define @t1063 () (not (forall @t210 (not @t1062)))) % 1.11/1.32 (define @t1064 () (forall @t193 @t1063)) % 1.11/1.32 (define @t1065 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1064)) % 1.11/1.32 (define @t1066 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050)) % 1.11/1.32 (define @t1067 () (not @t214)) % 1.11/1.32 (define @t1068 () (not @t33)) % 1.11/1.32 (define @t1069 () (or @t1068 @t1054 @t1053 @t1067 @t1052 @t1051 @t1050)) % 1.11/1.32 (define @t1070 () (not @t452)) % 1.11/1.32 (define @t1071 () (not @t933)) % 1.11/1.32 (define @t1072 () (= @t743 (not (or @t1047 @t1071)))) % 1.11/1.32 (define @t1073 () (not (= @t231 @t231))) % 1.11/1.32 (define @t1074 () (or @t1071 @t1073)) % 1.11/1.32 (define @t1075 () (not @t813)) % 1.11/1.32 (define @t1076 () (not @t852)) % 1.11/1.32 (define @t1077 () (or @t1075 @t1076 @t1075)) % 1.11/1.32 (define @t1078 () (or @t1076 @t1075)) % 1.11/1.32 (define @t1079 () (forall @t234 @t1078)) % 1.11/1.32 (define @t1080 () (or @t1047 @t1079)) % 1.11/1.32 (define @t1081 () (or @t1047 @t1078)) % 1.11/1.32 (define @t1082 () (or @t1076 @t1075 @t1047)) % 1.11/1.32 (define @t1083 () (not @t1048)) % 1.11/1.32 (define @t1084 () (or @t1076 @t1075 @t1083)) % 1.11/1.32 (define @t1085 () (and @t852 @t813 @t1048)) % 1.11/1.32 (define @t1086 () (forall @t234 (not @t1085))) % 1.11/1.32 (define @t1087 () (not @t1086)) % 1.11/1.32 (define @t1088 () (and @t1044 @t847 @t1041)) % 1.11/1.32 (define @t1089 () (forall @t850 (not @t1088))) % 1.11/1.32 (define @t1090 () (not @t1089)) % 1.11/1.32 (define @t1091 () (forall @t840 (= @t1034 @t1040))) % 1.11/1.32 (define @t1092 () (not @t1091)) % 1.11/1.32 (define @t1093 () (not (= @t842 @t842))) % 1.11/1.32 (define @t1094 () (or @t1093 @t1092)) % 1.11/1.32 (define @t1095 () (forall @t840 (= @t838 @t1040))) % 1.11/1.32 (define @t1096 () (not @t1095)) % 1.11/1.32 (define @t1097 () (not @t843)) % 1.11/1.32 (define @t1098 () (or @t1097 @t1097 @t1096)) % 1.11/1.32 (define @t1099 () (or @t1097 @t1096)) % 1.11/1.32 (define @t1100 () (and @t843 @t1095)) % 1.11/1.32 (define @t1101 () (forall @t845 (not @t1100))) % 1.11/1.32 (define @t1102 () (not @t1101)) % 1.11/1.32 (define @t1103 () (not @t1037)) % 1.11/1.32 (define @t1104 () (not @t1103)) % 1.11/1.32 (define @t1105 () (not @t1038)) % 1.11/1.32 (define @t1106 () (not @t1105)) % 1.11/1.32 (define @t1107 () (not @t1039)) % 1.11/1.32 (define @t1108 () (not @t1107)) % 1.11/1.32 (define @t1109 () (and @t1108 @t1106 @t1104)) % 1.11/1.32 (define @t1110 () (or @t1105 @t1103)) % 1.11/1.32 (define @t1111 () (or @t1107 @t1105 @t1103)) % 1.11/1.32 (define @t1112 () (and @t835 (not @t1111))) % 1.11/1.32 (define @t1113 () (= @t838 @t1112)) % 1.11/1.32 (define @t1114 () (not (= @t1036 @t1036))) % 1.11/1.32 (define @t1115 () (or @t1105 @t1103 @t1114)) % 1.11/1.32 (define @t1116 () (not (= @t822 @t1036))) % 1.11/1.32 (define @t1117 () (not @t826)) % 1.11/1.32 (define @t1118 () (not @t831)) % 1.11/1.32 (define @t1119 () (or @t1116 @t1118 @t1117 @t1116)) % 1.11/1.32 (define @t1120 () (or @t1118 @t1117 @t1116)) % 1.11/1.32 (define @t1121 () (forall @t833 @t1120)) % 1.11/1.32 (define @t1122 () (or @t1107 @t1121)) % 1.11/1.32 (define @t1123 () (or @t1107 @t1120)) % 1.11/1.32 (define @t1124 () (or @t1118 @t1117 @t1107 @t1116)) % 1.11/1.32 (define @t1125 () (or @t1117 @t1107 @t1116)) % 1.11/1.32 (define @t1126 () (not @t1125)) % 1.11/1.32 (define @t1127 () (and @t831 @t1126)) % 1.11/1.32 (define @t1128 () (forall @t833 (not @t1127))) % 1.11/1.32 (define @t1129 () (not @t1128)) % 1.11/1.32 (define @t1130 () (or @t1107 @t1116)) % 1.11/1.32 (define @t1131 () (not (= @t824 @t824))) % 1.11/1.32 (define @t1132 () (or @t1107 @t1131 @t1116)) % 1.11/1.32 (define @t1133 () (not @t823)) % 1.11/1.32 (define @t1134 () (not @t825)) % 1.11/1.32 (define @t1135 () (not @t827)) % 1.11/1.32 (define @t1136 () (or @t1134 @t1135 @t1134 @t1133)) % 1.11/1.32 (define @t1137 () (or @t1135 @t1134 @t1133)) % 1.11/1.32 (define @t1138 () (forall @t829 @t1137)) % 1.11/1.32 (define @t1139 () (or @t1117 @t1138)) % 1.11/1.32 (define @t1140 () (or @t1117 @t1137)) % 1.11/1.32 (define @t1141 () (or @t1135 @t1117 @t1134 @t1133)) % 1.11/1.32 (define @t1142 () (forall @t829 (not @t828))) % 1.11/1.32 (define @t1143 () (not @t1142)) % 1.11/1.32 (define @t1144 () (@var "BOUND_VARIABLE_24356" $$unsorted)) % 1.11/1.32 (define @t1145 () (@var "BOUND_VARIABLE_24354" $$unsorted)) % 1.11/1.32 (define @t1146 () (@var "BOUND_VARIABLE_24340" $$unsorted)) % 1.11/1.32 (define @t1147 () (@var "BOUND_VARIABLE_24338" $$unsorted)) % 1.11/1.32 (define @t1148 () (@list @t231 @t229 @t1147 @t1146 @t1145 @t1144)) % 1.11/1.32 (define @t1149 () (tptp.subnetstr_of_element @t1 @t11 @t726)) % 1.11/1.32 (define @t1150 () (tptp.relation_rng_as_subset (tptp.the_carrier @t1149) @t3 (tptp.the_mapping @t1 @t1149))) % 1.11/1.32 (define @t1151 () (tptp.topstr_closure @t1 @t1150)) % 1.11/1.32 (define @t1152 () (tptp.netstr_induced_subset @t1150 @t1 @t11)) % 1.11/1.32 (define @t1153 () (tptp.element @t726 @t14)) % 1.11/1.32 (define @t1154 () (tptp.in @t726 @t1144)) % 1.11/1.32 (define @t1155 () (not (forall @t729 (= @t1154 (and @t868 @t1153 @t1152 (= @t1151 @t1145)))))) % 1.11/1.32 (define @t1156 () (not (tptp.in @t1145 @t69))) % 1.11/1.32 (define @t1157 () (not (= @t229 (tptp.ordered_pair @t1145 @t1144)))) % 1.11/1.32 (define @t1158 () (tptp.topstr_closure @t1 @t815)) % 1.11/1.32 (define @t1159 () (tptp.netstr_induced_subset @t815 @t1 @t11)) % 1.11/1.32 (define @t1160 () (tptp.in @t684 @t1146)) % 1.11/1.32 (define @t1161 () (not (forall @t687 (= @t1160 (and @t886 @t816 @t1159 (= @t1158 @t1147)))))) % 1.11/1.32 (define @t1162 () (not (tptp.in @t1147 @t69))) % 1.11/1.32 (define @t1163 () (not (= @t231 (tptp.ordered_pair @t1147 @t1146)))) % 1.11/1.32 (define @t1164 () (or @t1075 @t813 @t1163 @t1162 @t1161 @t1157 @t1156 @t1155)) % 1.11/1.32 (define @t1165 () (or @t1073 @t1075 @t813 @t1163 @t1162 @t1161 @t1157 @t1156 @t1155)) % 1.11/1.32 (define @t1166 () (not @t817)) % 1.11/1.32 (define @t1167 () (not @t754)) % 1.11/1.32 (define @t1168 () (or @t1167 @t1167 @t1166 @t813 @t1163 @t1162 @t1161 @t1157 @t1156 @t1155)) % 1.11/1.32 (define @t1169 () (or @t1167 @t1166 @t813 @t1163 @t1162 @t1161 @t1157 @t1156 @t1155)) % 1.11/1.32 (define @t1170 () (forall @t210 @t1169)) % 1.11/1.32 (define @t1171 () (forall @t1148 @t1170)) % 1.11/1.32 (define @t1172 () (forall (@list @t231 @t229 @t1147 @t1146 @t1145 @t1144 @t200) @t1169)) % 1.11/1.32 (define @t1173 () (@list @t200 @t231 @t229 @t1147 @t1146 @t1145 @t1144)) % 1.11/1.32 (define @t1174 () (and @t868 @t1153 @t1152 (= @t1145 @t1151))) % 1.11/1.32 (define @t1175 () (= @t1154 @t1174)) % 1.11/1.32 (define @t1176 () (forall @t729 @t1175)) % 1.11/1.32 (define @t1177 () (not @t1176)) % 1.11/1.32 (define @t1178 () (and @t886 @t816 @t1159 (= @t1147 @t1158))) % 1.11/1.32 (define @t1179 () (= @t1160 @t1178)) % 1.11/1.32 (define @t1180 () (forall @t687 @t1179)) % 1.11/1.32 (define @t1181 () (not @t1180)) % 1.11/1.32 (define @t1182 () (or @t1167 @t1166 @t813 @t1163 @t1162 @t1181 @t1157 @t1156 @t1177)) % 1.11/1.32 (define @t1183 () (or @t1157 @t1156 @t1177)) % 1.11/1.32 (define @t1184 () (or @t1163 @t1162 @t1181)) % 1.11/1.32 (define @t1185 () (or @t1167 @t1184 @t1166 @t1183 @t813)) % 1.11/1.32 (define @t1186 () (forall @t1173 @t1185)) % 1.11/1.32 (define @t1187 () (forall (@list @t1147 @t1146 @t1145 @t1144) @t1185)) % 1.11/1.32 (define @t1188 () (forall (@list @t1145 @t1144) @t1183)) % 1.11/1.32 (define @t1189 () (forall (@list @t1147 @t1146) @t1184)) % 1.11/1.32 (define @t1190 () (or @t1167 @t1189 @t1166 @t1188 @t813)) % 1.11/1.32 (define @t1191 () (= @t733 @t1151)) % 1.11/1.32 (define @t1192 () (and @t868 @t1153 @t1152 @t1191)) % 1.11/1.32 (define @t1193 () (forall @t729 (= @t728 @t1192))) % 1.11/1.32 (define @t1194 () (not @t1193)) % 1.11/1.32 (define @t1195 () (not @t876)) % 1.11/1.32 (define @t1196 () (= @t229 @t877)) % 1.11/1.32 (define @t1197 () (not @t1196)) % 1.11/1.32 (define @t1198 () (or @t1197 @t1195 @t1194)) % 1.11/1.32 (define @t1199 () (forall @t879 @t1198)) % 1.11/1.32 (define @t1200 () (= @t651 @t1158)) % 1.11/1.32 (define @t1201 () (and @t886 @t816 @t1159 @t1200)) % 1.11/1.32 (define @t1202 () (forall @t687 (= @t948 @t1201))) % 1.11/1.32 (define @t1203 () (not @t1202)) % 1.11/1.32 (define @t1204 () (not @t893)) % 1.11/1.32 (define @t1205 () (= @t231 @t775)) % 1.11/1.32 (define @t1206 () (not @t1205)) % 1.11/1.32 (define @t1207 () (or @t1206 @t1204 @t1203)) % 1.11/1.32 (define @t1208 () (forall @t776 @t1207)) % 1.11/1.32 (define @t1209 () (or @t1167 @t1208 @t1166 @t1199 @t813)) % 1.11/1.32 (define @t1210 () (not @t1199)) % 1.11/1.32 (define @t1211 () (not @t1210)) % 1.11/1.32 (define @t1212 () (not @t1208)) % 1.11/1.32 (define @t1213 () (not @t1212)) % 1.11/1.32 (define @t1214 () (or @t1167 @t1213 @t1166 @t1211)) % 1.11/1.32 (define @t1215 () (and @t754 @t1212 @t817 @t1210)) % 1.11/1.32 (define @t1216 () (and @t1196 @t876 @t1193)) % 1.11/1.32 (define @t1217 () (forall @t879 (not @t1216))) % 1.11/1.32 (define @t1218 () (not @t1217)) % 1.11/1.32 (define @t1219 () (not (= @t727 @t727))) % 1.11/1.32 (define @t1220 () (or @t1219 @t1194)) % 1.11/1.32 (define @t1221 () (forall @t729 (= @t870 @t1192))) % 1.11/1.32 (define @t1222 () (not @t1221)) % 1.11/1.32 (define @t1223 () (not @t873)) % 1.11/1.32 (define @t1224 () (or @t1223 @t1223 @t1222)) % 1.11/1.32 (define @t1225 () (or @t1223 @t1222)) % 1.11/1.32 (define @t1226 () (and @t873 @t1221)) % 1.11/1.32 (define @t1227 () (forall @t730 (not @t1226))) % 1.11/1.32 (define @t1228 () (not @t1227)) % 1.11/1.32 (define @t1229 () (not @t1191)) % 1.11/1.32 (define @t1230 () (not @t1229)) % 1.11/1.32 (define @t1231 () (not @t1152)) % 1.11/1.32 (define @t1232 () (not @t1231)) % 1.11/1.32 (define @t1233 () (not @t1153)) % 1.11/1.32 (define @t1234 () (not @t1233)) % 1.11/1.32 (define @t1235 () (and @t1234 @t1232 @t1230)) % 1.11/1.32 (define @t1236 () (or @t1231 @t1229)) % 1.11/1.32 (define @t1237 () (or @t1233 @t1231 @t1229)) % 1.11/1.32 (define @t1238 () (and @t868 (not @t1237))) % 1.11/1.32 (define @t1239 () (= @t870 @t1238)) % 1.11/1.32 (define @t1240 () (not (= @t1150 @t1150))) % 1.11/1.32 (define @t1241 () (or @t1231 @t1229 @t1240)) % 1.11/1.32 (define @t1242 () (not (= @t719 @t1150))) % 1.11/1.32 (define @t1243 () (not @t861)) % 1.11/1.32 (define @t1244 () (not @t865)) % 1.11/1.32 (define @t1245 () (or @t1242 @t1244 @t1243 @t1242)) % 1.11/1.32 (define @t1246 () (or @t1244 @t1243 @t1242)) % 1.11/1.32 (define @t1247 () (forall @t722 @t1246)) % 1.11/1.32 (define @t1248 () (or @t1233 @t1247)) % 1.11/1.32 (define @t1249 () (or @t1233 @t1246)) % 1.11/1.32 (define @t1250 () (or @t1244 @t1243 @t1233 @t1242)) % 1.11/1.32 (define @t1251 () (or @t1243 @t1233 @t1242)) % 1.11/1.32 (define @t1252 () (not @t1251)) % 1.11/1.32 (define @t1253 () (and @t865 @t1252)) % 1.11/1.32 (define @t1254 () (forall @t722 (not @t1253))) % 1.11/1.32 (define @t1255 () (not @t1254)) % 1.11/1.32 (define @t1256 () (or @t1233 @t1242)) % 1.11/1.32 (define @t1257 () (not (= @t726 @t726))) % 1.11/1.32 (define @t1258 () (or @t1233 @t1257 @t1242)) % 1.11/1.32 (define @t1259 () (not @t859)) % 1.11/1.32 (define @t1260 () (not @t860)) % 1.11/1.32 (define @t1261 () (not @t862)) % 1.11/1.32 (define @t1262 () (or @t1260 @t1261 @t1260 @t1259)) % 1.11/1.32 (define @t1263 () (or @t1261 @t1260 @t1259)) % 1.11/1.32 (define @t1264 () (forall @t720 @t1263)) % 1.11/1.32 (define @t1265 () (or @t1243 @t1264)) % 1.11/1.32 (define @t1266 () (or @t1243 @t1263)) % 1.11/1.32 (define @t1267 () (or @t1261 @t1243 @t1260 @t1259)) % 1.11/1.32 (define @t1268 () (forall @t720 (not @t863))) % 1.11/1.32 (define @t1269 () (not @t1268)) % 1.11/1.32 (define @t1270 () (and @t1205 @t893 @t1202)) % 1.11/1.32 (define @t1271 () (forall @t776 (not @t1270))) % 1.11/1.32 (define @t1272 () (not @t1271)) % 1.11/1.32 (define @t1273 () (not (= @t690 @t690))) % 1.11/1.32 (define @t1274 () (or @t1273 @t1203)) % 1.11/1.32 (define @t1275 () (forall @t687 (= @t686 @t1201))) % 1.11/1.32 (define @t1276 () (not @t1275)) % 1.11/1.32 (define @t1277 () (not @t890)) % 1.11/1.32 (define @t1278 () (or @t1277 @t1277 @t1276)) % 1.11/1.32 (define @t1279 () (or @t1277 @t1276)) % 1.11/1.32 (define @t1280 () (and @t890 @t1275)) % 1.11/1.32 (define @t1281 () (forall @t688 (not @t1280))) % 1.11/1.32 (define @t1282 () (not @t1281)) % 1.11/1.32 (define @t1283 () (not @t1200)) % 1.11/1.32 (define @t1284 () (not @t1283)) % 1.11/1.32 (define @t1285 () (not @t1159)) % 1.11/1.32 (define @t1286 () (not @t1285)) % 1.11/1.32 (define @t1287 () (not @t816)) % 1.11/1.32 (define @t1288 () (not @t1287)) % 1.11/1.32 (define @t1289 () (and @t1288 @t1286 @t1284)) % 1.11/1.32 (define @t1290 () (or @t1285 @t1283)) % 1.11/1.32 (define @t1291 () (or @t1287 @t1285 @t1283)) % 1.11/1.32 (define @t1292 () (and @t886 (not @t1291))) % 1.11/1.32 (define @t1293 () (= @t686 @t1292)) % 1.11/1.32 (define @t1294 () (not (= @t815 @t815))) % 1.11/1.32 (define @t1295 () (or @t1285 @t1283 @t1294)) % 1.11/1.32 (define @t1296 () (not (= @t734 @t815))) % 1.11/1.32 (define @t1297 () (not @t881)) % 1.11/1.32 (define @t1298 () (not @t812)) % 1.11/1.32 (define @t1299 () (or @t1296 @t1298 @t1297 @t1296)) % 1.11/1.32 (define @t1300 () (or @t1298 @t1297 @t1296)) % 1.11/1.32 (define @t1301 () (forall @t738 @t1300)) % 1.11/1.32 (define @t1302 () (or @t1287 @t1301)) % 1.11/1.32 (define @t1303 () (or @t1287 @t1300)) % 1.11/1.32 (define @t1304 () (or @t1298 @t1297 @t1287 @t1296)) % 1.11/1.32 (define @t1305 () (or @t1297 @t1287 @t1296)) % 1.11/1.32 (define @t1306 () (not @t1305)) % 1.11/1.32 (define @t1307 () (and @t812 @t1306)) % 1.11/1.32 (define @t1308 () (forall @t738 (not @t1307))) % 1.11/1.32 (define @t1309 () (not @t1308)) % 1.11/1.32 (define @t1310 () (or @t1287 @t1296)) % 1.11/1.32 (define @t1311 () (not (= @t684 @t684))) % 1.11/1.32 (define @t1312 () (or @t1287 @t1311 @t1296)) % 1.11/1.32 (define @t1313 () (not @t809)) % 1.11/1.32 (define @t1314 () (not @t755)) % 1.11/1.32 (define @t1315 () (not @t811)) % 1.11/1.32 (define @t1316 () (or @t1314 @t1315 @t1314 @t1313)) % 1.11/1.32 (define @t1317 () (or @t1315 @t1314 @t1313)) % 1.11/1.32 (define @t1318 () (forall @t737 @t1317)) % 1.11/1.32 (define @t1319 () (or @t1297 @t1318)) % 1.11/1.32 (define @t1320 () (or @t1297 @t1317)) % 1.11/1.32 (define @t1321 () (or @t1315 @t1297 @t1314 @t1313)) % 1.11/1.32 (define @t1322 () (forall @t737 (not @t882))) % 1.11/1.32 (define @t1323 () (not @t1322)) % 1.11/1.32 (define @t1324 () (tptp.subnetstr_of_element @t1 @t11 @t685)) % 1.11/1.32 (define @t1325 () (tptp.relation_rng_as_subset (tptp.the_carrier @t1324) @t3 (tptp.the_mapping @t1 @t1324))) % 1.11/1.32 (define @t1326 () (= @t229 (tptp.topstr_closure @t1 @t1325))) % 1.11/1.32 (define @t1327 () (tptp.netstr_induced_subset @t1325 @t1 @t11)) % 1.11/1.32 (define @t1328 () (tptp.element @t685 @t14)) % 1.11/1.32 (define @t1329 () (and @t923 @t1328 @t1327 @t1326)) % 1.11/1.32 (define @t1330 () (forall @t688 (= @t740 @t1329))) % 1.11/1.32 (define @t1331 () (not @t1330)) % 1.11/1.32 (define @t1332 () (not @t930)) % 1.11/1.32 (define @t1333 () (= @t231 @t761)) % 1.11/1.32 (define @t1334 () (not @t1333)) % 1.11/1.32 (define @t1335 () (or @t1334 @t1332 @t1331)) % 1.11/1.32 (define @t1336 () (not (forall @t763 @t1335))) % 1.11/1.32 (define @t1337 () (@var "BOUND_VARIABLE_25098" $$unsorted)) % 1.11/1.32 (define @t1338 () (tptp.in @t231 (tptp.cartesian_product2 @t69 @t1337))) % 1.11/1.32 (define @t1339 () (and @t1338 @t1336)) % 1.11/1.32 (define @t1340 () (and @t1336 @t1338)) % 1.11/1.32 (define @t1341 () (= @t743 @t1340)) % 1.11/1.32 (define @t1342 () (forall @t236 @t1341)) % 1.11/1.32 (define @t1343 () (not @t1342)) % 1.11/1.32 (define @t1344 () (forall @t210 @t1343)) % 1.11/1.32 (define @t1345 () (not @t1344)) % 1.11/1.32 (define @t1346 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1345)) % 1.11/1.32 (define @t1347 () (@list @t1 @t11 @t69 @t1337)) % 1.11/1.32 (define @t1348 () (forall @t1347 @t1346)) % 1.11/1.32 (define @t1349 () (not (forall @t210 (not (forall @t236 (= @t743 @t1339)))))) % 1.11/1.32 (define @t1350 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1349)) % 1.11/1.32 (define @t1351 () (forall @t1347 @t1350)) % 1.11/1.32 (define @t1352 () (forall @t688 (= @t1329 @t740))) % 1.11/1.32 (define @t1353 () (not @t1352)) % 1.11/1.32 (define @t1354 () (or @t1334 @t1332 @t1353)) % 1.11/1.32 (define @t1355 () (forall @t763 @t1354)) % 1.11/1.32 (define @t1356 () (not @t1355)) % 1.11/1.32 (define @t1357 () (and @t1356 @t1338)) % 1.11/1.32 (define @t1358 () (= @t743 @t1357)) % 1.11/1.32 (define @t1359 () (forall @t236 @t1358)) % 1.11/1.32 (define @t1360 () (not @t1359)) % 1.11/1.32 (define @t1361 () (forall @t210 @t1360)) % 1.11/1.32 (define @t1362 () (not @t1361)) % 1.11/1.32 (define @t1363 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1362)) % 1.11/1.32 (define @t1364 () (forall @t1347 @t1363)) % 1.11/1.32 (define @t1365 () (@var "BOUND_VARIABLE_38327" $$unsorted)) % 1.11/1.32 (define @t1366 () (@var "BOUND_VARIABLE_38326" $$unsorted)) % 1.11/1.32 (define @t1367 () (@var "BOUND_VARIABLE_38322" $$unsorted)) % 1.11/1.32 (define @t1368 () (@var "BOUND_VARIABLE_38324" $$unsorted)) % 1.11/1.32 (define @t1369 () (@var "BOUND_VARIABLE_38325" $$unsorted)) % 1.11/1.32 (define @t1370 () (@var "BOUND_VARIABLE_38319" $$unsorted)) % 1.11/1.32 (define @t1371 () (@var "BOUND_VARIABLE_38320" $$unsorted)) % 1.11/1.32 (define @t1372 () (tptp.subnetstr_of_element @t1371 @t1370 @t1369)) % 1.11/1.32 (define @t1373 () (tptp.relation_rng_as_subset (tptp.the_carrier @t1372) (tptp.the_carrier @t1371) (tptp.the_mapping @t1371 @t1372))) % 1.11/1.32 (define @t1374 () (@var "BOUND_VARIABLE_38323" $$unsorted)) % 1.11/1.32 (define @t1375 () (tptp.the_carrier @t1370)) % 1.11/1.32 (define @t1376 () (@var "BOUND_VARIABLE_38321" $$unsorted)) % 1.11/1.32 (define @t1377 () (@list @t1370 @t1371 @t1376 @t1367 @t1374 @t1368 @t1369 @t1366 @t1365)) % 1.11/1.32 (define @t1378 () (@list false)) % 1.11/1.32 (define @t1379 () (@list @t1337)) % 1.11/1.32 (define @t1380 () (forall @t1379 @t1350)) % 1.11/1.32 (define @t1381 () (forall @t1379 @t1349)) % 1.11/1.32 (define @t1382 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1381)) % 1.11/1.32 (define @t1383 () (forall @t236 (= @t743 (and @t933 @t1336)))) % 1.11/1.32 (define @t1384 () (not (forall @t210 (not @t1383)))) % 1.11/1.32 (define @t1385 () (forall @t193 @t1384)) % 1.11/1.32 (define @t1386 () (or @t32 @t1054 @t1053 @t213 @t1052 @t1051 @t1050 @t1385)) % 1.11/1.32 (define @t1387 () (and @t1333 @t930 @t1330)) % 1.11/1.32 (define @t1388 () (forall @t763 (not @t1387))) % 1.11/1.32 (define @t1389 () (not @t1388)) % 1.11/1.32 (define @t1390 () (not (= @t651 @t651))) % 1.11/1.32 (define @t1391 () (or @t1390 @t1331)) % 1.11/1.32 (define @t1392 () (forall @t688 (= @t759 @t1329))) % 1.11/1.32 (define @t1393 () (not @t1392)) % 1.11/1.32 (define @t1394 () (not @t927)) % 1.11/1.32 (define @t1395 () (or @t1394 @t1394 @t1393)) % 1.11/1.32 (define @t1396 () (or @t1394 @t1393)) % 1.11/1.32 (define @t1397 () (and @t927 @t1392)) % 1.11/1.32 (define @t1398 () (forall @t692 (not @t1397))) % 1.11/1.32 (define @t1399 () (not @t1398)) % 1.11/1.32 (define @t1400 () (not @t1326)) % 1.11/1.32 (define @t1401 () (not @t1400)) % 1.11/1.32 (define @t1402 () (not @t1327)) % 1.11/1.32 (define @t1403 () (not @t1402)) % 1.11/1.32 (define @t1404 () (not @t1328)) % 1.11/1.32 (define @t1405 () (not @t1404)) % 1.11/1.32 (define @t1406 () (and @t1405 @t1403 @t1401)) % 1.11/1.32 (define @t1407 () (or @t1402 @t1400)) % 1.11/1.32 (define @t1408 () (or @t1404 @t1402 @t1400)) % 1.11/1.32 (define @t1409 () (and @t923 (not @t1408))) % 1.11/1.32 (define @t1410 () (= @t759 @t1409)) % 1.11/1.32 (define @t1411 () (not (= @t1325 @t1325))) % 1.11/1.32 (define @t1412 () (or @t1402 @t1400 @t1411)) % 1.11/1.32 (define @t1413 () (not (= @t684 @t1325))) % 1.11/1.32 (define @t1414 () (not @t916)) % 1.11/1.32 (define @t1415 () (not @t920)) % 1.11/1.32 (define @t1416 () (or @t1413 @t1415 @t1414 @t1413)) % 1.11/1.32 (define @t1417 () (or @t1415 @t1414 @t1413)) % 1.11/1.32 (define @t1418 () (forall @t687 @t1417)) % 1.11/1.32 (define @t1419 () (or @t1404 @t1418)) % 1.11/1.32 (define @t1420 () (or @t1404 @t1417)) % 1.11/1.32 (define @t1421 () (or @t1415 @t1414 @t1404 @t1413)) % 1.11/1.32 (define @t1422 () (or @t1414 @t1404 @t1413)) % 1.11/1.32 (define @t1423 () (not @t1422)) % 1.11/1.32 (define @t1424 () (and @t920 @t1423)) % 1.11/1.32 (define @t1425 () (forall @t687 (not @t1424))) % 1.11/1.32 (define @t1426 () (not @t1425)) % 1.11/1.32 (define @t1427 () (or @t1404 @t1413)) % 1.11/1.32 (define @t1428 () (not (= @t685 @t685))) % 1.11/1.32 (define @t1429 () (or @t1404 @t1428 @t1413)) % 1.11/1.32 (define @t1430 () (not @t914)) % 1.11/1.32 (define @t1431 () (not @t915)) % 1.11/1.32 (define @t1432 () (not @t917)) % 1.11/1.32 (define @t1433 () (or @t1431 @t1432 @t1431 @t1430)) % 1.11/1.32 (define @t1434 () (or @t1432 @t1431 @t1430)) % 1.11/1.32 (define @t1435 () (forall @t738 @t1434)) % 1.11/1.32 (define @t1436 () (or @t1414 @t1435)) % 1.11/1.32 (define @t1437 () (or @t1414 @t1434)) % 1.11/1.32 (define @t1438 () (or @t1432 @t1414 @t1431 @t1430)) % 1.11/1.32 (define @t1439 () (forall @t738 (not @t918))) % 1.11/1.32 (define @t1440 () (not @t1439)) % 1.11/1.32 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 1.11/1.32 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 1.11/1.32 (assume @p3 (forall @t19 (=> @t18 (=> @t15 (= @t11 (tptp.net_str_of @t1 @t14 @t13 @t12)))))) % 1.11/1.32 (assume @p4 (forall @t19 (=> @t22 @t21))) % 1.11/1.32 (assume @p5 (forall @t19 (=> @t24 (not @t23)))) % 1.11/1.32 (assume @p6 (forall @t6 (=> @t28 (forall @t27 (=> @t26 @t25))))) % 1.11/1.32 (assume @p7 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t34) (and @t33 @t31 @t30 @t29))))) % 1.11/1.32 (assume @p8 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))))) % 1.11/1.32 (assume @p9 (forall @t6 (=> @t45 (forall @t27 (=> @t26 (and @t25 @t44)))))) % 1.11/1.32 (assume @p10 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t29) (and @t33 @t31 @t46))))) % 1.11/1.32 (assume @p11 (forall @t6 (=> @t48 (forall @t27 (=> @t26 (and @t25 @t44 @t47)))))) % 1.11/1.32 (assume @p12 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t46 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))))) % 1.11/1.32 (assume @p13 (forall @t6 (=> @t51 (forall @t27 (=> @t26 (and @t25 @t44 @t50 @t47)))))) % 1.11/1.32 (assume @p14 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t29) (and @t33 @t31 @t40 @t38))))) % 1.11/1.32 (assume @p15 (forall @t6 (=> @t53 (forall @t27 (=> @t26 (and @t25 @t52 @t44 @t50 @t47)))))) % 1.11/1.32 (assume @p16 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t37 @t29) (and @t33 @t31 @t40 @t39 @t37))))) % 1.11/1.32 (assume @p17 (forall @t6 (=> @t54 (and @t28 @t45 @t48 @t51 @t53)))) % 1.11/1.32 (assume @p18 (forall @t6 (=> @t28 (forall @t27 (=> @t57 @t55))))) % 1.11/1.32 (assume @p19 (forall @t6 (=> @t45 (forall @t27 (=> @t57 (and @t55 @t58)))))) % 1.11/1.32 (assume @p20 (forall @t6 (=> @t48 (forall @t27 (=> @t57 (and @t55 @t58 @t59)))))) % 1.11/1.32 (assume @p21 (forall @t6 (=> @t51 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60)))))) % 1.11/1.32 (assume @p22 (forall @t6 (=> @t64 (forall @t27 (=> @t26 (and @t63 @t62 @t61)))))) % 1.11/1.32 (assume @p23 (forall @t6 (=> @t54 @t65))) % 1.11/1.32 (assume @p24 (forall @t6 (=> @t67 @t66))) % 1.11/1.32 (assume @p25 (forall @t6 (=> @t54 @t68))) % 1.11/1.32 (assume @p26 (forall @t75 (=> @t74 (=> (and @t71 @t73) @t72)))) % 1.11/1.32 (assume @p27 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t86) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))))) % 1.11/1.32 (assume @p28 (forall @t6 (=> @t5 (=> @t39 @t33)))) % 1.11/1.32 (assume @p29 (forall @t6 (=> @t10 (=> @t88 @t87)))) % 1.11/1.32 (assume @p30 (forall @t6 (=> @t53 @t51))) % 1.11/1.32 (assume @p31 (forall @t6 (=> @t64 @t91))) % 1.11/1.32 (assume @p32 (forall @t6 (=> (and @t93 (tptp.symmetric @t1) @t94) (and @t93 @t92)))) % 1.11/1.32 (assume @p33 (forall @t6 (=> @t54 @t93))) % 1.11/1.32 (assume @p34 (forall @t75 (=> @t97 @t95))) % 1.11/1.32 (assume @p35 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t100 (and @t99 @t98))))))) % 1.11/1.32 (assume @p36 (forall @t6 (=> (and @t33 @t108 @t5) (forall @t27 (=> @t102 (and @t107 @t106)))))) % 1.11/1.32 (assume @p37 (forall @t6 (=> @t5 (=> @t109 (and @t33 @t39 @t38))))) % 1.11/1.32 (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))))) % 1.11/1.32 (assume @p39 (forall @t6 (=> @t5 (=> @t32 @t110)))) % 1.11/1.32 (assume @p40 (forall @t6 (=> @t53 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60 @t111)))))) % 1.11/1.32 (assume @p41 (forall @t6 (=> (and @t54 @t64) @t113))) % 1.11/1.32 (assume @p42 (forall @t6 (=> @t65 (forall @t27 (=> @t57 @t114))))) % 1.11/1.32 (assume @p43 (forall @t6 (=> @t66 @t67))) % 1.11/1.32 (assume @p44 (forall @t6 (=> @t117 @t116))) % 1.11/1.32 (assume @p45 (forall @t75 (=> @t74 (=> @t120 @t119)))) % 1.11/1.32 (assume @p46 (forall @t6 (=> @t5 (=> @t38 @t33)))) % 1.11/1.32 (assume @p47 (forall @t6 (=> @t10 (=> @t87 @t88)))) % 1.11/1.32 (assume @p48 (forall @t6 (=> @t51 @t48))) % 1.11/1.32 (assume @p49 (forall @t6 (=> @t91 @t64))) % 1.11/1.32 (assume @p50 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (=> @t100 @t121)))))) % 1.11/1.32 (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))))) % 1.11/1.32 (assume @p52 (forall @t6 (=> @t5 (=> @t123 (and @t33 @t31 @t41 @t40 @t34))))) % 1.11/1.32 (assume @p53 (forall @t6 (=> @t5 (=> @t124 @t33)))) % 1.11/1.32 (assume @p54 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t113))) % 1.11/1.32 (assume @p55 (forall @t75 (=> @t74 (=> @t119 @t120)))) % 1.11/1.32 (assume @p56 (forall @t6 (=> @t10 (=> @t126 @t125)))) % 1.11/1.32 (assume @p57 (forall @t6 (=> @t48 @t45))) % 1.11/1.32 (assume @p58 (forall @t6 (=> @t54 @t127))) % 1.11/1.32 (assume @p59 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t100 @t128)))))) % 1.11/1.32 (assume @p60 (forall @t6 (=> @t5 (=> (and @t33 @t122 @t31) (and @t33 @t31 @t129))))) % 1.11/1.32 (assume @p61 (forall @t6 (=> @t5 (=> @t109 (and @t33 @t49))))) % 1.11/1.32 (assume @p62 (forall @t6 (=> @t5 (=> (and @t33 @t31) (and @t33 @t124))))) % 1.11/1.32 (assume @p63 (forall @t19 (=> @t137 (=> (and @t134 @t136 @t135 @t132) (and @t134 @t133 @t132 @t131 @t130))))) % 1.11/1.32 (assume @p64 (forall @t6 (=> @t10 (=> @t125 @t126)))) % 1.11/1.32 (assume @p65 (forall @t6 (=> @t45 @t28))) % 1.11/1.32 (assume @p66 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> @t128 @t121)))))) % 1.11/1.32 (assume @p67 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t138) (and @t33 @t31 @t30 @t129))))) % 1.11/1.32 (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))))) % 1.11/1.32 (assume @p69 (forall @t6 (=> @t5 (=> @t49 @t139)))) % 1.11/1.32 (assume @p70 (forall @t19 (=> @t141 (forall @t140 (=> @t74 (=> @t72 (and @t71 @t73 @t70))))))) % 1.11/1.32 (assume @p71 (forall @t6 (=> @t10 (=> @t145 (and @t33 @t143 @t78 @t77 @t76 @t142))))) % 1.11/1.32 (assume @p72 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> (and @t98 @t121) (and @t121 @t128))))))) % 1.11/1.32 (assume @p73 (forall @t6 (=> @t5 (=> @t123 (and @t33 @t31 @t108))))) % 1.11/1.32 (assume @p74 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t31 @t41 @t40 @t39 @t38))))) % 1.11/1.32 (assume @p75 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t39 @t46 @t30 @t129) (and @t33 @t31 @t41 @t40 @t39 @t46 @t138))))) % 1.11/1.32 (assume @p76 (forall @t6 (=> @t5 (=> @t139 @t49)))) % 1.11/1.32 (assume @p77 (forall @t19 (=> @t150 (forall @t140 (=> @t74 (=> @t72 (and @t71 @t148 @t73 @t70))))))) % 1.11/1.32 (assume @p78 (forall @t6 (=> @t10 (=> (and @t33 @t143 @t76 @t142) @t145)))) % 1.11/1.32 (assume @p79 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (=> (and @t99 @t128) (and @t100 @t99 @t98 @t55 @t58 @t59 @t60 @t111 @t121 @t128))))))) % 1.11/1.32 (assume @p80 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t36))))) % 1.11/1.32 (assume @p81 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t34 @t108) (and @t33 @t31 @t41 @t40 @t108 @t129))))) % 1.11/1.32 (assume @p82 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t143) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t151))))) % 1.11/1.32 (assume @p83 (forall @t6 (=> @t5 (=> @t146 (and @t33 @t37))))) % 1.11/1.32 (assume @p84 (forall @t6 (=> @t155 (forall @t27 (=> @t154 (=> @t152 (and @t153 @t152))))))) % 1.11/1.32 (assume @p85 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t156))))) % 1.11/1.32 (assume @p86 (forall @t6 (=> @t5 (=> (and @t31 @t39 @t30) (and @t33 @t31 @t39 @t37))))) % 1.11/1.32 (assume @p87 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t38 @t49 @t36 @t156) (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t156 @t42))))) % 1.11/1.32 (assume @p88 (forall @t75 (=> @t160 (= @t157 (tptp.unordered_pair_as_carrier_subset @t1 @t69 @t11))))) % 1.11/1.32 (assume @p89 (forall @t19 (= @t161 (tptp.unordered_pair @t11 @t1)))) % 1.11/1.32 (assume @p90 (forall @t19 (= @t163 @t162))) % 1.11/1.32 (assume @p91 (forall @t75 (=> @t166 (= @t164 (tptp.join_commut @t1 @t69 @t11))))) % 1.11/1.32 (assume @p92 (forall @t19 (= @t168 @t167))) % 1.11/1.32 (assume @p93 (forall @t75 (=> @t171 (= @t169 (tptp.meet_commut @t1 @t69 @t11))))) % 1.11/1.32 (assume @p94 (forall @t75 (=> @t174 (= @t172 (tptp.subset_union2 @t1 @t69 @t11))))) % 1.11/1.32 (assume @p95 (forall @t75 (=> @t174 (= @t175 (tptp.subset_intersection2 @t1 @t69 @t11))))) % 1.11/1.32 (assume @p96 (forall @t19 (=> @t177 (or @t176 (tptp.ordinal_subset @t11 @t1))))) % 1.11/1.32 (assume @p97 (forall @t19 (=> @t186 (= @t185 (forall @t183 (= @t182 (and @t180 @t179))))))) % 1.11/1.32 (assume @p98 (forall @t19 (= @t189 (and @t188 @t187)))) % 1.11/1.32 (assume @p99 (forall @t6 (=> @t5 (forall @t198 (=> @t158 (=> @t197 (= (= @t69 @t196) (and @t195 @t194)))))))) % 1.11/1.32 (assume @p100 (forall @t6 (=> @t17 (= @t199 (tptp.identity_as_relation_of @t3))))) % 1.11/1.32 (assume @p101 (forall @t6 (=> @t93 (forall @t198 (=> @t95 (= (= @t69 @t206) (forall @t205 (= @t204 (and @t203 @t202))))))))) % 1.11/1.32 (assume @p102 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (= @t212 (exists @t193 (and @t211 (forall @t210 (=> @t209 (=> @t208 @t207)))))))))))) % 1.11/1.32 (assume @p103 (forall @t6 (=> @t5 (= @t217 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 1.11/1.32 (assume @p104 (forall @t6 (=> @t223 (forall @t198 (= @t222 (forall @t193 (= @t220 (exists @t210 (and (tptp.in @t200 @t219) @t218 (= @t178 (tptp.apply @t1 @t200))))))))))) % 1.11/1.32 (assume @p105 (forall @t19 (=> @t186 (forall @t140 (=> @t95 (= (= @t69 @t225) (forall @t205 (= @t204 (and @t224 (tptp.in @t201 @t11)))))))))) % 1.11/1.32 (assume @p106 (forall @t6 (=> @t93 (= @t227 (tptp.is_antisymmetric_in @t1 @t226))))) % 1.11/1.32 (assume @p107 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (= @t228 (forall @t193 (=> @t211 (exists @t210 (and @t209 @t208 @t207))))))))))) % 1.11/1.32 (assume @p108 (forall @t6 (=> @t216 (forall @t27 (=> @t246 (forall @t140 (=> @t244 (= @t239 (exists @t193 (and @t238 (tptp.quasi_total @t178 @t230 @t14) (tptp.relation_of2_as_subset @t178 @t230 @t14) (= @t237 (tptp.function_of_composition @t230 @t14 @t3 @t178 @t12)) (forall @t210 (=> @t209 (exists @t236 (and @t235 (forall @t234 (=> @t233 (=> @t232 (tptp.related @t11 @t200 (tptp.apply_on_set_and_struct @t230 @t11 @t178 @t229))))))))))))))))))) % 1.11/1.32 (assume @p109 (forall @t6 (=> @t223 (forall @t198 (= @t249 (forall @t193 (= @t220 (and @t248 (tptp.in @t247 @t11))))))))) % 1.11/1.32 (assume @p110 (forall @t6 (=> @t252 (= @t78 (exists @t27 (and @t159 @t251)))))) % 1.11/1.32 (assume @p111 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (forall @t140 (=> @t256 (= (= @t69 @t255) (forall @t193 (=> (tptp.in @t178 @t3) (= @t220 (forall @t210 (=> @t254 (not (and (tptp.open_subset @t200 @t1) @t253 (tptp.disjoint @t11 @t200)))))))))))))))) % 1.11/1.32 (assume @p112 (forall @t6 (=> @t93 (forall @t198 (= @t222 (forall @t193 (= @t220 (exists @t210 (and (tptp.in @t257 @t1) @t218))))))))) % 1.11/1.32 (assume @p113 (forall @t6 (=> @t5 (forall @t27 (=> @t258 (= @t154 (and (tptp.subset @t14 @t3) (tptp.subset @t13 @t2)))))))) % 1.11/1.32 (assume @p114 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t183 (=> (and @t262 (tptp.subnetstr @t178 @t1 @t11)) (= @t261 (and (tptp.full_subrelstr @t178 @t11) (tptp.subrelstr @t178 @t11) (= @t259 (tptp.function_invverse_img_as_carrier_subset @t11 @t1 @t12 @t69))))))))))) % 1.11/1.32 (assume @p115 (forall @t6 (=> @t93 (forall @t198 (= @t249 (forall @t193 (= @t220 (exists @t210 (and @t202 @t218))))))))) % 1.11/1.32 (assume @p116 (forall @t6 (=> @t93 (= @t263 (tptp.is_connected_in @t1 @t226))))) % 1.11/1.32 (assume @p117 (forall @t6 (=> @t5 (forall @t27 (=> @t154 (= @t152 (= @t13 (tptp.relation_restriction_as_relation_of @t2 @t14)))))))) % 1.11/1.32 (assume @p118 (forall @t6 (=> @t265 (forall @t27 (=> @t159 (forall @t140 (= @t264 (forall @t193 (=> @t192 (=> @t220 (tptp.below @t1 @t11 @t178))))))))))) % 1.11/1.32 (assume @p119 (forall @t6 (=> @t252 (=> @t78 (forall @t27 (=> @t159 (= (= @t11 @t266) @t251))))))) % 1.11/1.32 (assume @p120 (forall @t6 (=> @t93 (= @t94 (tptp.is_transitive_in @t1 @t226))))) % 1.11/1.32 (assume @p121 (forall @t6 (=> @t265 (forall @t27 (=> @t159 (forall @t140 (= (tptp.latt_element_smaller @t1 @t11 @t69) (forall @t193 (=> @t192 (=> @t220 (tptp.below @t1 @t178 @t11))))))))))) % 1.11/1.32 (assume @p122 (forall @t6 (=> @t268 (forall @t27 (=> @t246 (forall @t140 (=> @t256 (= (= @t69 @t267) (forall @t193 (=> @t192 (= @t220 (forall @t210 (=> (tptp.point_neighbourhood @t200 @t1 @t178) (tptp.is_eventually_in @t1 @t11 @t200)))))))))))))) % 1.11/1.32 (assume @p123 (forall @t6 (=> @t223 (forall @t198 (= (tptp.apply_binary @t1 @t11 @t69) (tptp.apply @t1 @t269)))))) % 1.11/1.32 (assume @p124 (forall @t6 (=> @t268 (forall @t27 (=> @t159 (forall @t140 (=> @t256 (= @t271 (tptp.in @t11 @t270))))))))) % 1.11/1.32 (assume @p125 (forall @t274 (= (= @t178 (tptp.unordered_triple @t1 @t11 @t69)) (forall @t210 (= @t273 (not (and (not (= @t200 @t1)) (not (= @t200 @t11)) (not @t272)))))))) % 1.11/1.32 (assume @p126 (forall @t6 (= @t65 (exists @t27 (and @t186 @t134 (= @t276 @t1) (tptp.in @t275 tptp.omega)))))) % 1.11/1.32 (assume @p127 (forall @t6 (= @t68 (forall @t279 (=> (and @t278 @t277) @t179))))) % 1.11/1.32 (assume @p128 (forall @t75 (=> @t284 (and (=> (=> @t282 @t281) (= @t70 (= @t1 @t283))) (=> @t282 (or @t281 (= @t70 @t280))))))) % 1.11/1.32 (assume @p129 (forall @t19 (=> (and (tptp.strict_latt_str @t11) @t287) (= (= @t11 @t286) (and (= @t14 @t56) (forall @t140 (=> @t173 (forall @t193 (=> @t285 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t69 @t178) (tptp.subset_union2 @t1 @t69 @t178)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t69 @t178) (tptp.subset_intersection2 @t1 @t69 @t178)))))))))))) % 1.11/1.32 (assume @p130 (forall @t6 (=> @t289 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= @t288 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t69))))))))) % 1.11/1.32 (assume @p131 (forall @t6 (=> @t292 (forall @t27 (= (= @t11 (tptp.pair_first @t1)) (forall @t183 (=> @t291 @t290))))))) % 1.11/1.32 (assume @p132 (forall @t6 (= @t294 (tptp.set_union2 @t1 @t293)))) % 1.11/1.32 (assume @p133 (forall @t6 (=> @t103 (= @t104 (and (tptp.in @t3 @t295) (forall @t27 (=> @t299 (=> (tptp.subset @t11 @t295) (tptp.in @t297 @t295)))) (forall @t27 (=> @t102 (forall @t140 (=> @t256 (=> (and @t296 (tptp.in @t69 @t295)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t69) @t295))))))))))) % 1.11/1.32 (assume @p134 (forall @t6 (= @t93 (forall @t27 (not (and @t20 (forall @t183 (not (= @t11 @t181))))))))) % 1.11/1.32 (assume @p135 (forall @t6 (=> @t93 (forall @t27 (= @t301 (forall @t140 (=> @t300 (tptp.in (tptp.ordered_pair @t69 @t69) @t1)))))))) % 1.11/1.32 (assume @p136 (forall @t75 (= @t74 (tptp.subset @t69 @t96)))) % 1.11/1.32 (assume @p137 (forall @t19 (and (=> @t305 (= @t302 (forall @t140 (= @t300 (forall @t193 (=> @t304 @t303)))))) (=> @t281 (= @t302 @t282))))) % 1.11/1.32 (assume @p138 (forall @t6 (=> @t17 (= @t32 @t306)))) % 1.11/1.32 (assume @p139 (forall @t19 (= (= @t11 @t293) (forall @t140 (= @t300 (= @t69 @t1)))))) % 1.11/1.32 (assume @p140 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t308 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t307)))))))) % 1.11/1.32 (assume @p141 (forall @t6 (=> @t103 (forall @t27 (=> @t299 (= @t310 (forall @t140 (=> @t256 (=> @t300 @t309))))))))) % 1.11/1.32 (assume @p142 (forall @t6 (=> @t5 (forall @t27 (=> @t102 (= @t107 (forall @t140 (=> @t158 (forall @t193 (=> @t192 (not (and @t300 @t203 (forall @t210 (=> @t312 (not (and @t218 (tptp.related @t1 @t69 @t200) @t311)))))))))))))))) % 1.11/1.32 (assume @p143 (forall @t6 (=> @t93 (forall @t198 (= (= @t69 (tptp.fiber @t1 @t11)) (forall @t193 (= @t220 (and (not @t313) (tptp.in (tptp.ordered_pair @t178 @t11) @t1))))))))) % 1.11/1.32 (assume @p144 (forall @t19 (=> @t186 (= (= @t11 @t316) (and (= @t315 @t1) (forall @t183 (=> (and @t180 @t304) (= @t182 @t314)))))))) % 1.11/1.32 (assume @p145 (forall @t6 (= @t281 (forall @t27 @t21)))) % 1.11/1.32 (assume @p146 (forall @t6 (=> @t268 (forall @t27 (=> @t159 (= @t317 (tptp.a_2_0_yellow19 @t1 @t11))))))) % 1.11/1.32 (assume @p147 (forall @t6 (= @t319 (tptp.rel_str_of @t1 @t318)))) % 1.11/1.32 (assume @p148 (forall @t19 (= (= @t11 @t56) (forall @t140 (= @t300 (tptp.subset @t69 @t1)))))) % 1.11/1.32 (assume @p149 (forall @t6 (=> @t5 (forall @t27 (=> @t102 (= @t321 (forall @t140 (=> @t158 (forall @t193 (=> @t192 (=> (and @t300 @t320) @t203))))))))))) % 1.11/1.32 (assume @p150 (forall @t6 (=> @t265 (=> @t323 (forall @t198 (=> @t158 (= (= @t69 @t322) (and (tptp.latt_element_smaller @t1 @t69 @t11) (forall @t193 (=> @t192 (=> (tptp.latt_element_smaller @t1 @t178 @t11) (tptp.below @t1 @t69 @t178)))))))))))) % 1.11/1.32 (assume @p151 (forall @t6 (=> @t265 (forall @t27 (= @t324 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 1.11/1.32 (assume @p152 (forall @t6 (= (tptp.centered @t1) (and @t305 (forall @t27 (not (and @t326 @t187 @t114 (= @t325 tptp.empty_set)))))))) % 1.11/1.32 (assume @p153 (forall @t6 (=> @t329 (= @t328 (tptp.rel_str_of @t3 @t327))))) % 1.11/1.32 (assume @p154 (forall @t6 (=> @t252 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= @t250 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t69))))))))) % 1.11/1.32 (assume @p155 (forall @t6 (=> @t292 (forall @t27 (= (= @t11 (tptp.pair_second @t1)) (forall @t183 (=> @t291 @t330))))))) % 1.11/1.32 (assume @p156 (forall @t6 (= @t90 (forall @t27 (=> @t20 @t187))))) % 1.11/1.32 (assume @p157 (forall @t6 (=> @t17 (= @t331 tptp.empty_set)))) % 1.11/1.32 (assume @p158 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (= @t189 (forall @t183 (= @t332 @t182)))))))) % 1.11/1.32 (assume @p159 (forall @t19 (and (=> @t149 (= @t26 @t20)) (=> @t54 (= @t26 @t100))))) % 1.11/1.32 (assume @p160 (forall @t75 (= (= @t69 @t161) (forall @t193 (= @t220 (or (= @t178 @t1) @t313)))))) % 1.11/1.32 (assume @p161 (forall @t19 (=> @t26 (= (tptp.proper_element @t11 @t1) (not @t334))))) % 1.11/1.32 (assume @p162 (forall @t6 (=> @t103 (forall @t27 (=> @t299 (= @t336 @t335)))))) % 1.11/1.32 (assume @p163 (forall @t6 (=> @t93 (= @t337 (forall @t27 (not (and (tptp.subset @t11 @t226) @t326 (forall @t140 (not (and @t300 (tptp.disjoint (tptp.fiber @t1 @t69) @t11))))))))))) % 1.11/1.32 (assume @p164 (forall @t75 (= (= @t69 @t163) (forall @t193 (= @t220 (or @t304 @t203)))))) % 1.11/1.32 (assume @p165 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (=> @t256 (= @t339 (exists @t193 (and @t211 (= @t69 (tptp.relation_rng_as_subset (tptp.the_carrier @t338) @t3 (tptp.the_mapping @t1 @t338))))))))))))) % 1.11/1.32 (assume @p166 (forall @t6 (=> @t5 (= @t41 @t342)))) % 1.11/1.32 (assume @p167 (forall @t6 (= @t343 (tptp.poset_of_lattice @t286)))) % 1.11/1.32 (assume @p168 (forall @t75 (= (= @t69 @t96) (forall @t193 (= @t220 (exists @t346 (and @t224 @t345 (= @t178 @t344)))))))) % 1.11/1.32 (assume @p169 (forall @t6 (=> @t103 (= @t351 (forall @t27 (=> @t299 (not (and @t350 @t310 (forall @t140 (=> @t349 (not (and @t348 (tptp.is_a_cover_of_carrier @t1 @t69) @t347)))))))))))) % 1.11/1.32 (assume @p170 (forall @t6 (=> @t329 (forall @t27 (=> @t159 (= @t352 @t11)))))) % 1.11/1.32 (assume @p171 (forall @t6 (=> @t289 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= @t353 (= @t288 @t69))))))))) % 1.11/1.32 (assume @p172 (forall @t6 (= @t89 (forall @t198 (not (and @t20 @t180 (not @t356) @t355 @t354)))))) % 1.11/1.32 (assume @p173 (forall @t6 (=> @t17 (= @t357 @t3)))) % 1.11/1.32 (assume @p174 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (= @t188 (forall @t183 (=> @t332 @t182)))))))) % 1.11/1.32 (assume @p175 (forall @t19 (= @t188 @t358))) % 1.11/1.32 (assume @p176 (forall @t6 (=> @t93 (forall @t27 (= @t360 (forall @t140 (not (and @t348 @t359 (forall @t193 (not (and @t220 (tptp.disjoint (tptp.fiber @t1 @t178) @t69)))))))))))) % 1.11/1.32 (assume @p177 (forall @t75 (= (= @t69 @t168) (forall @t193 (= @t220 (and @t304 @t203)))))) % 1.11/1.32 (assume @p178 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (= @t361 (tptp.a_2_1_yellow19 @t1 @t11))))))) % 1.11/1.32 (assume @p179 (forall @t6 (=> @t223 (forall @t198 (and (=> @t364 (= @t363 @t278)) (=> (not @t364) (= @t363 @t280))))))) % 1.11/1.32 (assume @p180 (forall @t6 (=> @t329 (forall @t27 (=> @t367 (= @t365 @t11)))))) % 1.11/1.32 (assume @p181 (forall @t6 (= @t64 @t91))) % 1.11/1.32 (assume @p182 (forall @t6 (=> @t93 (forall @t27 (= (= @t11 @t219) (forall @t140 (= @t300 (exists @t193 @t332)))))))) % 1.11/1.32 (assume @p183 (forall @t6 (=> @t93 (forall @t27 (= @t369 (forall @t183 (=> (and @t300 @t203 @t332 @t368) @t179))))))) % 1.11/1.32 (assume @p184 (forall @t6 (= @t370 @t1))) % 1.11/1.32 (assume @p185 (forall @t19 (= @t334 (forall @t140 (= @t300 (exists @t193 (and @t303 @t304))))))) % 1.11/1.32 (assume @p186 (forall @t6 (=> @t93 (= @t371 (and @t92 @t94 @t227 @t263 @t337))))) % 1.11/1.32 (assume @p187 (forall @t19 (= @t375 (exists @t140 (and @t95 @t71 @t118 @t374 (= @t372 @t11)))))) % 1.11/1.32 (assume @p188 (forall @t75 (= (= @t69 @t376) (forall @t193 (= @t220 (and @t304 (not @t203))))))) % 1.11/1.32 (assume @p189 (forall @t6 (=> @t216 (forall @t27 (=> (and @t141 @t102) (forall @t140 (=> (and @t148 @t385 @t384 @t383) (forall @t193 (=> (and @t380 @t262 @t379) (= (= @t178 @t378) (and (= @t259 (tptp.a_3_1_yellow19 @t1 @t11 @t69)) (forall @t210 (=> @t377 (forall @t236 (=> (tptp.element @t231 @t259) (= (tptp.related @t178 @t200 @t231) (tptp.subset (tptp.pair_second @t231) (tptp.pair_second @t200))))))) (forall @t210 (=> @t377 (= (tptp.apply_netmap @t1 @t178 @t200) (tptp.pair_first @t200))))))))))))))) % 1.11/1.32 (assume @p190 (forall @t6 (=> @t5 (= @t46 (exists @t27 (and @t159 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 1.11/1.32 (assume @p191 (forall @t6 (=> @t223 (forall @t27 (= @t388 (forall @t140 (= @t300 (exists @t193 @t386)))))))) % 1.11/1.32 (assume @p192 (forall @t6 (=> @t5 (= @t41 (tptp.is_transitive_in @t2 @t3))))) % 1.11/1.32 (assume @p193 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t389 @t64 (forall @t27 (=> @t61 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t188))))))) % 1.11/1.32 (assume @p194 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t99 @t296)))))) % 1.11/1.32 (assume @p195 (forall @t6 (=> @t93 (forall @t27 (= @t388 (forall @t140 (= @t300 (exists @t193 @t368)))))))) % 1.11/1.32 (assume @p196 (forall @t19 (=> @t57 (= @t390 @t376)))) % 1.11/1.32 (assume @p197 (forall @t19 (= @t391 (tptp.unordered_pair @t161 @t293)))) % 1.11/1.32 (assume @p198 (forall @t6 (=> @t105 (forall @t198 (= @t393 (forall @t193 (=> @t392 (=> (and (tptp.open_subset @t178 @t1) @t303) @t203)))))))) % 1.11/1.32 (assume @p199 (forall @t6 (=> @t93 (forall @t27 (= (tptp.well_orders @t1 @t11) (and @t301 @t395 @t369 @t394 @t360)))))) % 1.11/1.32 (assume @p200 (forall @t6 (=> @t397 (= @t396 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (exists @t193 (and @t192 @t340 @t320)))))))))) % 1.11/1.32 (assume @p201 (forall @t6 (=> @t5 (= @t40 (tptp.is_antisymmetric_in @t2 @t3))))) % 1.11/1.32 (assume @p202 (forall @t6 (= @t389 (= @t1 @t333)))) % 1.11/1.32 (assume @p203 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t98 (tptp.open_subset @t398 @t1))))))) % 1.11/1.32 (assume @p204 (forall @t6 (=> @t93 (= @t226 (tptp.set_union2 @t219 @t387))))) % 1.11/1.32 (assume @p205 (forall @t6 (=> @t93 (forall @t27 (= @t394 (forall @t183 (not (and @t300 @t203 (not @t179) (not @t332) (not @t368))))))))) % 1.11/1.32 (assume @p206 (forall @t6 (=> @t93 (forall @t27 (= @t400 (tptp.set_intersection2 @t1 @t399)))))) % 1.11/1.32 (assume @p207 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (= (= @t11 @t401) (forall @t183 (= @t182 @t368)))))))) % 1.11/1.32 (assume @p208 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (=> @t405 (forall @t193 (=> (and @t262 @t379) (= (= @t178 @t404) (and (forall @t210 (= (tptp.in @t200 @t259) (exists @t236 (and @t403 @t402 (tptp.related @t11 @t69 @t231))))) (= (tptp.the_InternalRel @t178) (tptp.relation_restriction_as_relation_of @t13 @t259)) (= (tptp.the_mapping @t1 @t178) (tptp.partfun_dom_restriction @t14 @t3 @t12 @t259))))))))))))) % 1.11/1.32 (assume @p209 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (forall @t140 (=> @t409 (= @t408 (and (= @t373 @t226) (= @t372 @t315) @t118 (forall @t205 (= @t202 (and (tptp.in @t178 @t226) (tptp.in @t200 @t226) (tptp.in (tptp.ordered_pair @t407 @t406) @t11))))))))))))) % 1.11/1.32 (assume @p210 (forall @t19 (= @t410 (= @t168 tptp.empty_set)))) % 1.11/1.32 (assume @p211 (forall @t6 (=> @t5 (forall @t27 (= @t415 (exists @t140 (and @t158 @t414 @t413 (forall @t193 (=> @t192 (=> (and @t412 (forall @t210 (=> @t312 (=> (tptp.relstr_set_smaller @t1 @t11 @t200) @t311)))) @t411)))))))))) % 1.11/1.32 (assume @p212 (forall @t6 (=> @t329 (= @t416 (tptp.a_1_0_filter_1 @t1))))) % 1.11/1.32 (assume @p213 (forall @t6 (=> @t223 (= @t115 (forall @t198 (=> (and @t364 (tptp.in @t69 @t219) (= @t362 (tptp.apply @t1 @t69))) @t290)))))) % 1.11/1.32 (assume @p214 (forall @t6 (=> @t5 (forall @t198 (=> @t158 (= @t195 (forall @t193 (=> @t192 (=> @t203 @t320))))))))) % 1.11/1.32 (assume @p215 (forall @t6 (=> @t265 (= @t81 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= (tptp.join @t1 @t250 @t69) @t69))))))))) % 1.11/1.32 (assume @p216 (forall @t6 (=> @t17 (forall @t27 (=> @t299 (= @t350 (= @t357 @t297))))))) % 1.11/1.32 (assume @p217 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (forall @t140 (=> @t95 (= (= @t69 @t417) (forall @t205 (= @t204 (exists @t236 (and (tptp.in (tptp.ordered_pair @t178 @t231) @t1) (tptp.in (tptp.ordered_pair @t231 @t200) @t11))))))))))))) % 1.11/1.32 (assume @p218 (forall @t6 (=> @t93 (forall @t27 (= @t395 (forall @t418 (=> (and @t300 @t203 @t218 @t332 @t202) (tptp.in (tptp.ordered_pair @t69 @t200) @t1)))))))) % 1.11/1.32 (assume @p219 (forall @t19 (=> @t421 (forall @t140 (=> (tptp.element @t69 @t420) (= (= @t69 @t419) (forall @t193 (=> @t285 (= @t220 (tptp.in (tptp.subset_complement @t1 @t178) @t11)))))))))) % 1.11/1.32 (assume @p220 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (=> @t405 (= @t422 (tptp.apply_on_structs @t11 @t1 @t12 @t69))))))))) % 1.11/1.32 (assume @p221 (forall @t19 (= @t24 (and @t188 @t423)))) % 1.11/1.32 (assume @p222 (forall @t6 (=> @t5 (forall @t27 (= @t197 (exists @t140 (and @t158 @t195 @t194 (forall @t193 (=> @t192 (=> (and @t191 (forall @t210 (=> @t312 (=> (tptp.relstr_element_smaller @t1 @t11 @t200) (tptp.related @t1 @t200 @t178))))) @t411)))))))))) % 1.11/1.32 (assume @p223 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t240 (= @t425 (and @t424 (= @t237 (tptp.relation_dom_restr_as_relation_of @t14 @t3 @t12 @t230))))))))))) % 1.11/1.32 (assume @p224 (forall @t6 (=> @t223 (=> @t115 (= @t426 @t401))))) % 1.11/1.32 (assume @p225 (forall @t6 (=> @t5 (forall @t198 (=> @t158 (= @t414 (forall @t193 (=> @t192 (=> @t203 @t190))))))))) % 1.11/1.32 (assume @p226 (forall @t6 (=> @t5 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= @t341 (tptp.in @t269 @t2))))))))) % 1.11/1.32 (assume @p227 (forall @t6 (=> @t93 (= @t92 (tptp.is_reflexive_in @t1 @t226))))) % 1.11/1.32 (assume @p228 (forall @t6 (=> @t268 (forall @t27 (=> @t215 (forall @t140 (=> @t158 (= @t429 (forall @t193 (=> @t428 @t427)))))))))) % 1.11/1.32 (assume @p229 (forall @t6 (=> @t5 (forall @t198 (=> @t158 (=> @t415 (= (= @t69 @t430) (and @t414 @t413)))))))) % 1.11/1.32 (assume @p230 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t425 (= @t431 (and (tptp.full_subrelstr @t69 @t11) @t424))))))))) % 1.11/1.32 (assume @p231 (forall @t19 (=> @t137 (and @t433 (tptp.rel_str @t432))))) % 1.11/1.32 (assume @p232 (forall @t274 (=> @t439 (and @t435 (tptp.net_str @t434 @t1))))) % 1.11/1.32 (assume @p233 (forall @t75 (=> @t447 (and @t441 (tptp.latt_str @t440))))) % 1.11/1.32 (assume @p234 (forall @t274 (=> @t451 (tptp.element @t449 (tptp.the_carrier @t448))))) % 1.11/1.32 (assume @p235 true) % 1.11/1.32 (assume @p236 (forall @t19 (=> @t452 (tptp.element @t267 @t101)))) % 1.11/1.32 (assume @p237 (forall @t19 (=> @t265 (tptp.element @t322 @t3)))) % 1.11/1.32 (assume @p238 (forall @t19 (=> @t265 (tptp.element @t324 @t3)))) % 1.11/1.32 (assume @p239 (forall @t274 (=> @t455 (tptp.element @t453 @t96)))) % 1.11/1.32 (assume @p240 (forall @t6 (and @t456 (tptp.latt_str @t286)))) % 1.11/1.32 (assume @p241 (forall @t75 (=> (and @t33 @t165 @t159 @t158) (tptp.element @t288 @t3)))) % 1.11/1.32 (assume @p242 (forall @t6 (tptp.element @t457 @t420))) % 1.11/1.32 (assume @p243 (forall @t6 (=> @t17 (tptp.element @t331 @t101)))) % 1.11/1.32 (assume @p244 (forall @t19 (=> @t93 (tptp.relation_of2_as_subset @t458 @t11 @t11)))) % 1.11/1.32 (assume @p245 (forall @t19 (=> @t459 (tptp.element @t308 @t101)))) % 1.11/1.32 (assume @p246 (forall @t274 (=> @t464 (tptp.element @t460 @t14)))) % 1.11/1.32 (assume @p247 (forall @t6 (tptp.relation @t316))) % 1.11/1.32 (assume @p248 (forall @t19 (=> @t467 (tptp.element @t317 @t466)))) % 1.11/1.32 (assume @p249 (forall @t19 (=> @t5 (tptp.element @t430 @t3)))) % 1.11/1.32 (assume @p250 (forall @t6 (and (tptp.reflexive @t318) (tptp.antisymmetric @t318) (tptp.transitive @t318) (tptp.v1_partfun1 @t318 @t1 @t1) (tptp.relation_of2_as_subset @t318 @t1 @t1)))) % 1.11/1.32 (assume @p251 (forall @t470 (=> @t469 (tptp.element @t468 @t69)))) % 1.11/1.32 (assume @p252 (forall @t6 (=> @t223 (and (tptp.relation @t426) (tptp.function @t426))))) % 1.11/1.32 (assume @p253 (forall @t6 (=> @t329 (and (tptp.reflexive @t327) (tptp.antisymmetric @t327) (tptp.transitive @t327) (tptp.v1_partfun1 @t327 @t3 @t3) (tptp.relation_of2_as_subset @t327 @t3 @t3))))) % 1.11/1.32 (assume @p254 (forall @t75 (=> (and @t33 @t170 @t159 @t158) (tptp.element @t250 @t3)))) % 1.11/1.32 (assume @p255 (forall @t274 (=> @t472 (and (tptp.function @t471) (tptp.relation_of2_as_subset @t471 @t1 @t11))))) % 1.11/1.32 (assume @p256 (forall @t6 (=> @t17 (tptp.element @t357 @t101)))) % 1.11/1.32 (assume @p257 (forall @t75 (=> @t160 (tptp.element @t157 @t101)))) % 1.11/1.32 (assume @p258 (forall @t6 (tptp.element @t370 @t56))) % 1.11/1.32 (assume @p259 (forall @t19 (=> @t93 (tptp.relation @t400)))) % 1.11/1.32 (assume @p260 (forall @t19 (=> @t473 (tptp.element @t361 @t466)))) % 1.11/1.32 (assume @p261 (forall @t19 (=> @t5 (tptp.element @t196 @t3)))) % 1.11/1.32 (assume @p262 (forall @t6 (and @t474 (tptp.rel_str @t319)))) % 1.11/1.32 (assume @p263 (forall @t6 (=> @t329 (and @t478 @t477 @t476 @t475 (tptp.rel_str @t328))))) % 1.11/1.32 (assume @p264 (forall @t75 (=> @t166 (tptp.element @t164 @t3)))) % 1.11/1.32 (assume @p265 (forall @t19 (=> @t57 (tptp.element @t390 @t56)))) % 1.11/1.32 (assume @p266 (forall @t75 (=> @t479 (tptp.element @t422 @t3)))) % 1.11/1.32 (assume @p267 (forall @t75 (=> @t482 (and @t481 @t480 (tptp.net_str @t378 @t1))))) % 1.11/1.32 (assume @p268 (forall @t6 (=> @t5 (tptp.element @t217 @t3)))) % 1.11/1.32 (assume @p269 (forall @t6 (and @t483 (tptp.rel_str @t343)))) % 1.11/1.32 (assume @p270 (forall @t274 (=> @t488 (tptp.element @t484 @t14)))) % 1.11/1.32 (assume @p271 (forall @t19 (=> (and @t33 @t79 @t10 @t159) (tptp.element @t352 @t366)))) % 1.11/1.32 (assume @p272 (forall @t75 (=> @t171 (tptp.element @t169 @t3)))) % 1.11/1.32 (assume @p273 (forall @t6 (=> @t93 @t489))) % 1.11/1.32 (assume @p274 (forall @t75 (=> @t74 (tptp.element @t283 @t56)))) % 1.11/1.32 (assume @p275 (forall @t75 (=> @t174 (tptp.element @t172 @t56)))) % 1.11/1.32 (assume @p276 (forall @t19 (=> (and @t33 @t79 @t10 @t367) (tptp.element @t365 @t3)))) % 1.11/1.32 (assume @p277 (forall @t6 (=> @t252 (tptp.element @t266 @t3)))) % 1.11/1.32 (assume @p278 (forall @t274 (=> @t491 (tptp.element @t490 @t101)))) % 1.11/1.32 (assume @p279 (forall @t19 (=> @t493 @t492))) % 1.11/1.32 (assume @p280 (forall @t75 (=> @t74 (tptp.element @t495 @t494)))) % 1.11/1.32 (assume @p281 (forall @t19 (=> @t421 (tptp.element @t496 @t56)))) % 1.11/1.32 (assume @p282 (forall @t75 (=> @t174 (tptp.element @t175 @t56)))) % 1.11/1.32 (assume @p283 (forall @t75 (=> @t479 (and @t497 (tptp.net_str @t404 @t1))))) % 1.11/1.32 (assume @p284 (forall @t6 (and (tptp.v1_partfun1 @t498 @t1 @t1) (tptp.relation_of2_as_subset @t498 @t1 @t1)))) % 1.11/1.32 (assume @p285 (forall @t19 (=> @t459 (tptp.element @t255 @t101)))) % 1.11/1.32 (assume @p286 (forall @t6 @t499)) % 1.11/1.32 (assume @p287 (forall @t19 (=> @t421 (tptp.element @t500 @t56)))) % 1.11/1.32 (assume @p288 (forall @t75 (=> @t174 (tptp.element @t501 @t56)))) % 1.11/1.32 (assume @p289 (forall @t75 (=> @t503 (and (tptp.strict_net_str @t502 @t1) (tptp.subnet @t502 @t1 @t11))))) % 1.11/1.32 (assume @p290 (forall @t75 (=> @t18 (and @t504 (tptp.subnetstr @t260 @t1 @t11))))) % 1.11/1.32 (assume @p291 (forall @t509 (=> @t508 (and (tptp.function @t505) (tptp.quasi_total @t505 @t1 @t69) (tptp.relation_of2_as_subset @t505 @t1 @t69))))) % 1.11/1.32 (assume @p292 (forall @t6 (=> @t17 (and (tptp.function @t199) (tptp.quasi_total @t199 @t3 @t3) (tptp.relation_of2_as_subset @t199 @t3 @t3))))) % 1.11/1.32 (assume @p293 (forall @t19 (=> @t93 @t510))) % 1.11/1.32 (assume @p294 (forall @t19 (=> @t421 (tptp.element @t419 @t420)))) % 1.11/1.32 (assume @p295 (forall @t274 (=> @t512 (tptp.element @t511 @t14)))) % 1.11/1.32 (assume @p296 (forall @t19 (=> (and @t33 @t10 @t214 @t287) (and (tptp.strict_latt_str @t448) (tptp.latt_str @t448))))) % 1.11/1.32 (assume @p297 (forall @t274 (=> @t514 (tptp.element @t513 @t11)))) % 1.11/1.32 (assume @p298 (forall @t19 (=> @t186 @t515))) % 1.11/1.32 (assume @p299 (forall @t274 (=> @t74 (tptp.relation_of2_as_subset @t516 @t1 @t11)))) % 1.11/1.32 (assume @p300 (forall @t6 (=> @t329 (tptp.relation @t416)))) % 1.11/1.32 (assume @p301 (forall @t6 (=> @t170 @t17))) % 1.11/1.32 (assume @p302 (forall @t6 (=> @t5 @t17))) % 1.11/1.32 (assume @p303 (forall @t6 (=> @t103 @t17))) % 1.11/1.32 (assume @p304 (forall @t6 (=> @t17 (forall @t27 (=> @t16 @t258))))) % 1.11/1.32 (assume @p305 (forall @t6 (=> @t165 @t17))) % 1.11/1.32 (assume @p306 (forall @t6 (=> @t10 (and @t170 @t165)))) % 1.11/1.32 (assume @p307 (forall @t19 (=> @t467 (forall @t140 (=> @t271 @t256))))) % 1.11/1.32 (assume @p308 (forall @t19 (=> @t518 (forall @t140 (=> @t517 @t158))))) % 1.11/1.32 (assume @p309 (forall @t19 (=> @t473 (forall @t140 (=> @t339 @t256))))) % 1.11/1.32 (assume @p310 (forall @t6 (=> @t5 (forall @t27 (=> @t154 @t258))))) % 1.11/1.32 (assume @p311 (forall @t19 (=> @t18 (forall @t140 (=> @t425 @t240))))) % 1.11/1.32 (assume @p312 (forall @t75 (=> @t284 @t97))) % 1.11/1.32 (assume @p313 (forall @t19 (=> @t519 (forall @t140 (=> @t239 @t244))))) % 1.11/1.32 (assume @p314 (forall @t6 (=> @t170 (and @t522 @t521 (tptp.relation_of2_as_subset @t7 @t520 @t3))))) % 1.11/1.32 (assume @p315 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 1.11/1.32 (assume @p316 (forall @t6 (=> @t103 (tptp.element @t295 @t298)))) % 1.11/1.33 (assume @p317 (forall @t19 (=> @t18 (and @t524 @t523 (tptp.relation_of2_as_subset @t12 @t14 @t3))))) % 1.11/1.33 (assume @p318 (forall @t6 (=> @t165 (and @t526 @t525 (tptp.relation_of2_as_subset @t8 @t520 @t3))))) % 1.11/1.33 (assume @p319 (exists @t6 @t170)) % 1.11/1.33 (assume @p320 (exists @t6 @t5)) % 1.11/1.33 (assume @p321 (exists @t6 @t103)) % 1.11/1.33 (assume @p322 (exists @t6 @t17)) % 1.11/1.33 (assume @p323 (forall @t6 (=> @t17 (exists @t27 @t16)))) % 1.11/1.33 (assume @p324 (exists @t6 @t165)) % 1.11/1.33 (assume @p325 (exists @t6 @t10)) % 1.11/1.33 (assume @p326 (forall @t19 (=> @t467 (exists @t140 @t271)))) % 1.11/1.33 (assume @p327 (forall @t19 (exists @t140 @t74))) % 1.11/1.33 (assume @p328 (forall @t19 (=> @t518 (exists @t140 @t517)))) % 1.11/1.33 (assume @p329 (forall @t6 (exists @t27 @t26))) % 1.11/1.33 (assume @p330 (forall @t19 (=> @t473 (exists @t140 @t339)))) % 1.11/1.33 (assume @p331 (forall @t6 (=> @t5 (exists @t27 @t154)))) % 1.11/1.33 (assume @p332 (forall @t19 (=> @t18 (exists @t140 @t425)))) % 1.11/1.33 (assume @p333 (forall @t19 (exists @t140 @t284))) % 1.11/1.33 (assume @p334 (forall @t19 (=> @t519 (exists @t140 @t239)))) % 1.11/1.33 (assume @p335 (forall @t19 (=> @t114 @t527))) % 1.11/1.33 (assume @p336 (forall @t19 (=> @t529 (and (tptp.empty @t528) (tptp.relation @t528))))) % 1.11/1.33 (assume @p337 (forall @t19 (=> (and @t103 @t121 @t102) (and (tptp.empty @t308) (tptp.v1_membered @t308) (tptp.v2_membered @t308) (tptp.v3_membered @t308) (tptp.v4_membered @t308) (tptp.v5_membered @t308) (tptp.boundary_set @t308 @t1))))) % 1.11/1.33 (assume @p338 (forall @t19 (=> @t65 @t527))) % 1.11/1.33 (assume @p339 (forall @t6 (=> @t54 (and (tptp.empty @t401) @t489)))) % 1.11/1.33 (assume @p340 (forall @t19 (=> @t65 (tptp.finite @t376)))) % 1.11/1.33 (assume @p341 (and @t532 @t531 @t530)) % 1.11/1.33 (assume @p342 (forall @t19 (=> (and @t93 @t68 @t114) (tptp.finite @t221)))) % 1.11/1.33 (assume @p343 (forall @t19 (=> @t534 (and @t510 (tptp.relation_empty_yielding @t206))))) % 1.11/1.33 (assume @p344 (forall @t6 (=> (and @t124 @t5) (and (not (tptp.empty @t2)) @t535)))) % 1.11/1.33 (assume @p345 (forall @t19 (=> @t536 (tptp.finite @t96)))) % 1.11/1.33 (assume @p346 (forall @t6 (=> @t397 (and @t537 (tptp.lower_relstr_subset @t357 @t1) (tptp.upper_relstr_subset @t357 @t1))))) % 1.11/1.33 (assume @p347 (forall @t19 (=> @t473 (and (not (tptp.empty @t12)) (tptp.relation @t12) @t524 @t523)))) % 1.11/1.33 (assume @p348 (forall @t75 (=> (and @t17 @t153 @t16) (and (tptp.transitive_relstr @t260) @t504 (tptp.full_subnetstr @t260 @t1 @t11))))) % 1.11/1.33 (assume @p349 (forall @t6 (and @t538 (tptp.finite @t293)))) % 1.11/1.33 (assume @p350 (forall @t6 (and @t539 (tptp.cup_closed @t56) (tptp.diff_closed @t56) (tptp.preboolean @t56)))) % 1.11/1.33 (assume @p351 (forall @t19 (=> (and @t93 @t68 @t186 @t134) (and @t492 (tptp.function @t417))))) % 1.11/1.33 (assume @p352 (forall @t6 (and @t554 @t456 @t553 @t552 @t551 @t550 @t549 @t548 @t547 @t546 @t545 @t544 @t543 @t542 @t541 @t540 (tptp.complete_latt_str @t286)))) % 1.11/1.33 (assume @p353 (forall @t6 (and @t554 @t456))) % 1.11/1.33 (assume @p354 (forall @t19 (=> (and @t149 @t137) (and (not (tptp.empty_carrier @t432)) @t433)))) % 1.11/1.33 (assume @p355 (forall @t6 @t555)) % 1.11/1.33 (assume @p356 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 1.11/1.33 (assume @p357 (forall @t6 (=> @t17 (and @t561 @t560 @t559 @t558 @t557 @t556)))) % 1.11/1.33 (assume @p358 (forall @t19 (=> @t493 (tptp.relation @t168)))) % 1.11/1.33 (assume @p359 (forall @t6 (=> @t216 (not @t306)))) % 1.11/1.33 (assume @p360 (forall @t6 @t539)) % 1.11/1.33 (assume @p361 (forall @t6 (=> @t105 (and @t561 @t562 @t560 @t559 @t558 @t557 @t556)))) % 1.11/1.33 (assume @p362 (forall @t6 (=> @t5 (and @t561 (tptp.strongly_connected_rel_subset @t331 @t1) (tptp.finite @t331) @t560 @t559 @t558 @t557 @t556 (tptp.directed_subset @t331 @t1) (tptp.filtered_subset @t331 @t1))))) % 1.11/1.33 (assume @p363 (forall @t6 (and @t575 @t483 @t574 @t573 @t572 @t571 @t570 @t569 @t568 @t567 @t566 @t565 @t564 @t563))) % 1.11/1.33 (assume @p364 (forall @t6 (and @t575 @t483 @t574 @t573 @t572 @t568 @t567 @t566 @t565 @t564 @t579 @t563 @t578 @t577 @t576 @t571 @t570 @t569))) % 1.11/1.33 (assume @p365 @t532) % 1.11/1.33 (assume @p366 (forall @t19 (=> @t467 (and (not (tptp.empty @t317)) (tptp.filtered_subset @t317 @t465) (tptp.upper_relstr_subset @t317 @t465) (tptp.proper_element @t317 @t466))))) % 1.11/1.33 (assume @p367 (forall @t19 (=> (tptp.relation_of2 @t11 @t293 @t293) (and (not (tptp.empty_carrier @t580)) (tptp.strict_rel_str @t580) (tptp.trivial_carrier @t580))))) % 1.11/1.33 (assume @p368 (forall @t6 (=> @t329 (and @t583 @t478 @t477 @t476 @t475 @t582 @t581)))) % 1.11/1.33 (assume @p369 (forall @t19 (not (tptp.empty @t391)))) % 1.11/1.33 (assume @p370 (forall @t75 (=> (and @t33 @t17 @t214 @t245 @t16 @t405) (and @t584 @t497)))) % 1.11/1.33 (assume @p371 (forall @t75 (=> @t503 (and @t584 (tptp.transitive_relstr @t404) @t497 (tptp.directed_relstr @t404))))) % 1.11/1.33 (assume @p372 (forall @t19 (=> @t28 @t585))) % 1.11/1.33 (assume @p373 (forall @t19 (=> @t28 @t586))) % 1.11/1.33 (assume @p374 (forall @t19 (=> @t45 (and @t585 @t587)))) % 1.11/1.33 (assume @p375 (forall @t6 (=> (and @t64 @t112) (and @t555 @t590 @t589 @t588 (tptp.natural @t294))))) % 1.11/1.33 (assume @p376 (forall @t19 (and @t591 (tptp.finite @t161)))) % 1.11/1.33 (assume @p377 (forall @t6 (and @t499 @t592))) % 1.11/1.33 (assume @p378 (forall @t6 (=> @t595 (and @t594 @t526 @t525 (tptp.v1_binop_1 @t8 @t3) @t593)))) % 1.11/1.33 (assume @p379 (forall @t6 (and @t554 @t456 @t553 @t552 @t551 @t550 @t549 @t548 @t547))) % 1.11/1.33 (assume @p380 (forall @t6 (=> (and @t31 @t41 @t40 @t5) (and @t535 (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 1.11/1.33 (assume @p381 (and @t531 @t530 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t532 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.11/1.33 (assume @p382 (forall @t6 (and @t499 @t592 (tptp.reflexive @t184) (tptp.symmetric @t184) (tptp.antisymmetric @t184) (tptp.transitive @t184)))) % 1.11/1.33 (assume @p383 (forall @t6 (=> @t216 @t537))) % 1.11/1.33 (assume @p384 (forall @t19 (=> @t493 (tptp.relation @t163)))) % 1.11/1.33 (assume @p385 (forall @t6 @t538)) % 1.11/1.33 (assume @p386 (forall @t19 (=> @t596 (tptp.closed_subset @t255 @t1)))) % 1.11/1.33 (assume @p387 (forall @t6 (=> (and @t39 @t5) @t597))) % 1.11/1.33 (assume @p388 (forall @t6 (=> @t149 (and @t575 (not (tptp.trivial_carrier @t343)) @t483 @t574 @t573 @t572 @t568 @t567 @t566 @t565 @t564 @t579 @t563 @t578 @t577 @t576 @t571 @t570 @t569)))) % 1.11/1.33 (assume @p389 (forall @t19 (=> @t149 (not (tptp.empty @t163))))) % 1.11/1.33 (assume @p390 (forall @t19 (=> @t473 (and @t599 @t598)))) % 1.11/1.33 (assume @p391 (forall @t6 (=> @t397 @t537))) % 1.11/1.33 (assume @p392 (forall @t6 (=> (and @t33 @t79 @t77 @t10) (and @t583 @t478 @t477 @t476 @t475 @t600 @t582 @t581)))) % 1.11/1.33 (assume @p393 (forall @t19 (=> @t45 (and @t586 @t601)))) % 1.11/1.33 (assume @p394 (forall @t19 (=> @t48 (and @t585 @t587 @t602)))) % 1.11/1.33 (assume @p395 (forall @t19 (=> @t48 (and @t586 @t601 @t603)))) % 1.11/1.33 (assume @p396 (forall @t19 (=> @t51 (and @t585 @t587 @t602 @t604)))) % 1.11/1.33 (assume @p397 (forall @t19 (=> @t51 (and @t586 @t601 @t603 @t605)))) % 1.11/1.33 (assume @p398 (forall @t19 (=> @t53 (and @t585 @t587 @t602 @t604 (tptp.v5_membered @t168))))) % 1.11/1.33 (assume @p399 (forall @t19 (=> @t53 (and @t586 @t601 @t603 @t605 (tptp.v5_membered @t167))))) % 1.11/1.33 (assume @p400 (forall @t19 (=> @t28 @t606))) % 1.11/1.33 (assume @p401 (forall @t19 (=> @t45 (and @t606 @t607)))) % 1.11/1.33 (assume @p402 (forall @t19 (=> @t48 (and @t606 @t607 @t608)))) % 1.11/1.33 (assume @p403 (forall @t6 (=> @t116 (and @t489 (tptp.function @t401))))) % 1.11/1.33 (assume @p404 (forall @t6 (=> (and @t33 @t84 @t165) (and @t594 @t526 @t525 (tptp.v2_binop_1 @t8 @t3) @t593)))) % 1.11/1.33 (assume @p405 (forall @t6 (and @t554 @t456 @t553 @t552 @t551 @t550 @t549 @t548 @t547 @t546 @t545 @t544 @t543 @t542 @t541 @t540))) % 1.11/1.33 (assume @p406 (forall @t75 (=> (and @t149 @t134 @t446 @t445 @t71 @t444 @t443) (and (not (tptp.empty_carrier @t440)) @t441)))) % 1.11/1.33 (assume @p407 (forall @t19 (=> (and @t135 @t610 @t609 @t136 @t137) (and @t433 (tptp.reflexive_relstr @t432) (tptp.transitive_relstr @t432) (tptp.antisymmetric_relstr @t432))))) % 1.11/1.33 (assume @p408 (forall @t6 (=> @t64 (and @t555 @t590 @t589 @t588)))) % 1.11/1.33 (assume @p409 (forall @t19 (=> @t493 (tptp.relation @t376)))) % 1.11/1.33 (assume @p410 (forall @t19 @t591)) % 1.11/1.33 (assume @p411 (forall @t19 (=> (and @t104 @t103 @t98 @t102) @t611))) % 1.11/1.33 (assume @p412 (forall @t6 (=> (and @t33 @t37 @t5) @t597))) % 1.11/1.33 (assume @p413 (forall @t19 (=> @t149 (not (tptp.empty @t162))))) % 1.11/1.33 (assume @p414 (forall @t19 (=> @t519 (and @t599 (tptp.filtered_subset @t361 @t465) @t598 (tptp.proper_element @t361 @t466))))) % 1.11/1.33 (assume @p415 (forall @t6 (=> (and @t33 @t79 @t78 @t10) (and @t583 @t478 @t477 @t476 @t475 @t612 @t582 @t581)))) % 1.11/1.33 (assume @p416 (forall @t19 (=> @t51 (and @t606 @t607 @t608 @t613)))) % 1.11/1.33 (assume @p417 (forall @t19 (=> @t53 (and @t606 @t607 @t608 @t613 (tptp.v5_membered @t376))))) % 1.11/1.33 (assume @p418 (forall @t19 (=> @t223 (and @t510 (tptp.function @t206))))) % 1.11/1.33 (assume @p419 (forall @t6 (=> (and @t33 @t83 @t170) (and @t615 @t522 @t521 (tptp.v1_binop_1 @t7 @t3) @t614)))) % 1.11/1.33 (assume @p420 (forall @t6 (=> @t329 (and @t583 @t478 @t477 @t476 @t475)))) % 1.11/1.33 (assume @p421 (forall @t6 (=> @t64 (and (tptp.epsilon_transitive @t333) (tptp.epsilon_connected @t333) (tptp.ordinal @t333))))) % 1.11/1.33 (assume @p422 (and @t532 @t531)) % 1.11/1.33 (assume @p423 (forall @t19 (=> @t150 (not (tptp.empty @t96))))) % 1.11/1.33 (assume @p424 (forall @t19 (=> (and @t104 @t103 @t99 @t102) @t616))) % 1.11/1.33 (assume @p425 (forall @t6 (=> (and @t38 @t5) @t617))) % 1.11/1.33 (assume @p426 (forall @t75 (=> @t482 (and @t481 @t619 @t618 @t480)))) % 1.11/1.33 (assume @p427 (forall @t6 (=> @t323 (and @t583 @t478 @t477 @t476 @t475 @t612 @t600 (tptp.bounded_relstr @t328) @t582 @t581 (tptp.complete_relstr @t328))))) % 1.11/1.33 (assume @p428 (forall @t19 (=> @t620 (and @t515 (tptp.function @t225))))) % 1.11/1.33 (assume @p429 (forall @t6 (=> (and @t33 @t82 @t170) (and @t615 @t522 @t521 (tptp.v2_binop_1 @t7 @t3) @t614)))) % 1.11/1.33 (assume @p430 (forall @t6 (=> @t105 @t621))) % 1.11/1.33 (assume @p431 (forall @t6 (=> @t623 (not @t622)))) % 1.11/1.33 (assume @p432 (forall @t6 (=> @t103 (and (tptp.empty @t624) (tptp.v1_membered @t624) (tptp.v2_membered @t624) (tptp.v3_membered @t624) (tptp.v4_membered @t624) (tptp.v5_membered @t624))))) % 1.11/1.33 (assume @p433 (forall @t6 (=> (and @t33 @t46 @t5) @t617))) % 1.11/1.33 (assume @p434 (forall @t75 (=> (and @t33 @t17 @t141 @t102 @t148 @t385 @t384 (tptp.proper_element @t69 @t382) @t383) (and @t481 @t619 @t618 @t480 (tptp.directed_relstr @t378))))) % 1.11/1.33 (assume @p435 (forall @t6 (and @t474 @t627 @t626 @t625))) % 1.11/1.33 (assume @p436 (and @t532 (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))) % 1.11/1.33 (assume @p437 (forall @t6 (=> @t623 (not @t628)))) % 1.11/1.33 (assume @p438 (forall @t19 (=> @t596 @t629))) % 1.11/1.33 (assume @p439 (forall @t274 (=> (and @t17 @t141 @t438 @t238 @t437 @t436) (and (not (tptp.empty_carrier @t434)) @t435)))) % 1.11/1.33 (assume @p440 (forall @t6 (=> @t149 (and (not (tptp.empty_carrier @t319)) @t474 @t627 @t626 @t625)))) % 1.11/1.33 (assume @p441 (forall @t6 (=> @t54 (and @t622 (tptp.relation @t219))))) % 1.11/1.33 (assume @p442 (forall @t6 (=> @t105 (and @t561 (tptp.open_subset @t331 @t1) @t562 @t560 @t559 @t558 @t557 @t556)))) % 1.11/1.33 (assume @p443 (forall @t6 (and @t575 @t483 @t574 @t573 @t572))) % 1.11/1.33 (assume @p444 (forall @t6 (=> @t54 (and @t628 (tptp.relation @t387))))) % 1.11/1.33 (assume @p445 (forall @t6 (=> @t105 (and (tptp.open_subset @t357 @t1) @t621)))) % 1.11/1.33 (assume @p446 (forall @t6 (and @t575 @t483 @t574 @t573 @t572 @t568 @t567 @t566 @t571 @t570 @t569))) % 1.11/1.33 (assume @p447 (forall @t6 (and @t575 @t483 @t574 @t573 @t572 @t568 @t567 @t566 (tptp.directed_relstr @t343) @t565 @t564 @t579 @t571 @t570 @t569))) % 1.11/1.33 (assume @p448 (forall @t19 (=> @t536 (tptp.finite @t163)))) % 1.11/1.33 (assume @p449 (forall @t19 (=> @t529 (and (tptp.empty @t417) @t492)))) % 1.11/1.33 (assume @p450 (forall @t6 (=> @t103 (tptp.dense @t357 @t1)))) % 1.11/1.33 (assume @p451 (forall @t6 (and @t575 @t483 @t574 @t573 @t572 @t571 @t570 @t569 @t568 @t567 @t566 @t565 @t564 @t563 @t577))) % 1.11/1.33 (assume @p452 (forall @t19 (=> @t630 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t183 (and @t405 @t211 (= @t1 (tptp.ordered_pair_as_product_element @t14 @t14 @t69 @t178)) (tptp.below_refl @t11 @t69 @t178))))))) % 1.11/1.33 (assume @p453 (forall @t75 (=> (and @t214 @t633 @t632 @t405) (= (tptp.in @t1 (tptp.a_2_0_yellow19 @t11 @t69)) (exists @t193 (and (tptp.point_neighbourhood @t178 @t11 @t69) @t631)))))) % 1.11/1.33 (assume @p454 (forall @t75 (=> (and @t214 @t463 @t243 @t636) (= (tptp.in @t1 (tptp.a_2_1_yellow19 @t11 @t69)) (exists @t193 (and @t635 @t631 (tptp.is_eventually_in @t11 @t69 @t178))))))) % 1.11/1.33 (assume @p455 (forall @t75 (=> (and @t214 @t287) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t69)) @t637)))) % 1.11/1.33 (assume @p456 (forall @t75 (=> (and @t214 @t463 @t148 @t643 @t642 @t641) (= (tptp.in @t1 (tptp.a_2_2_yellow19 @t11 @t69)) @t639)))) % 1.11/1.33 (assume @p457 (forall @t75 (=> (and @t214 @t450 (tptp.complete_latt_str @t11) @t287) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t69)) @t637)))) % 1.11/1.33 (assume @p458 (forall @t75 (=> (and @t214 @t633 @t632 @t148 @t643 @t642 (tptp.proper_element @t69 @t640) @t641) (= (tptp.in @t1 (tptp.a_2_3_yellow19 @t11 @t69)) @t639)))) % 1.11/1.33 (assume @p459 (forall @t274 (=> (and @t214 @t463 @t243 @t636 @t646) (= (tptp.in @t1 (tptp.a_3_0_waybel_9 @t11 @t69 @t178)) @t645)))) % 1.11/1.33 (assume @p460 (forall @t274 (=> (and @t214 @t463 @t148 (tptp.element @t69 @t634) @t648 (tptp.filtered_subset @t178 @t647) (tptp.upper_relstr_subset @t178 @t647) (tptp.element @t178 (tptp.powerset (tptp.the_carrier @t647)))) (= (tptp.in @t1 (tptp.a_3_1_yellow19 @t11 @t69 @t178)) (exists @t346 (and @t209 (tptp.element_as_carrier_subset @t231 @t647 @t178) (= @t1 @t344) (tptp.in @t200 @t231))))))) % 1.11/1.33 (assume @p461 (forall @t274 (=> (and @t214 @t633 @t632 @t243 @t242 @t241 @t636 @t646) (= (tptp.in @t1 (tptp.a_3_3_yellow19 @t11 @t69 @t178)) @t645)))) % 1.11/1.33 (assume @p462 (forall @t19 (=> @t137 (forall @t183 (=> (= @t432 (tptp.rel_str_of @t69 @t178)) @t650))))) % 1.11/1.33 (assume @p463 (forall @t274 (=> @t439 (forall (@list @t200 @t231 @t229 @t651) (=> (= @t434 (tptp.net_str_of @t200 @t231 @t229 @t651)) (and @t644 (= @t11 @t231) (= @t69 @t229) @t652)))))) % 1.11/1.33 (assume @p464 (forall @t75 (=> @t447 (forall @t654 (=> (= @t440 (tptp.latt_str_of @t178 @t200 @t231)) (and @t631 (= @t11 @t200) @t653)))))) % 1.11/1.33 (assume @p465 (forall @t19 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.11/1.33 (assume @p466 (forall @t19 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.11/1.33 (assume @p467 (forall @t75 (=> @t174 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 1.11/1.33 (assume @p468 (forall @t75 (=> @t174 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 1.11/1.33 (assume @p469 (forall @t19 (=> @t57 (= (tptp.subset_complement @t1 @t390) @t11)))) % 1.11/1.33 (assume @p470 (forall @t6 (=> @t93 (= (tptp.relation_inverse @t401) @t1)))) % 1.11/1.33 (assume @p471 (forall @t19 (=> @t421 (= (tptp.complements_of_subsets @t1 @t419) @t11)))) % 1.11/1.33 (assume @p472 (forall @t19 (not (tptp.proper_subset @t1 @t1)))) % 1.11/1.33 (assume @p473 (forall @t6 (=> @t93 (= @t92 (forall @t27 (=> @t655 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 1.11/1.33 (assume @p474 (forall @t6 (not (= @t293 tptp.empty_set)))) % 1.11/1.33 (assume @p475 (forall @t19 (=> @t22 (= (tptp.set_union2 @t293 @t11) @t11)))) % 1.11/1.33 (assume @p476 (forall @t19 (not (and @t656 @t22)))) % 1.11/1.33 (assume @p477 (forall @t19 (=> @t657 @t656))) % 1.11/1.33 (assume @p478 (forall @t19 (=> @t186 (tptp.subset (tptp.relation_dom @t225) @t275)))) % 1.11/1.33 (assume @p479 (forall @t6 (=> @t93 (= @t94 (forall @t279 (=> (and @t278 @t332) @t277)))))) % 1.11/1.33 (assume @p480 (forall @t19 (= (tptp.subset @t293 @t11) @t22))) % 1.11/1.33 (assume @p481 (forall @t19 (=> @t186 (not (and @t658 (tptp.equipotent @t1 @t315) (forall @t140 (=> @t95 (not (tptp.well_orders @t69 @t1))))))))) % 1.11/1.33 (assume @p482 (forall @t19 (= (= @t376 tptp.empty_set) @t188))) % 1.11/1.33 (assume @p483 (forall @t19 (=> @t57 (forall @t140 (=> @t300 @t180))))) % 1.11/1.33 (assume @p484 (forall @t6 (=> @t93 (= @t227 (forall @t198 (=> (and @t278 @t659) @t290)))))) % 1.11/1.33 (assume @p485 (forall @t75 (=> @t188 (or @t180 (tptp.subset @t1 (tptp.set_difference @t11 @t660)))))) % 1.11/1.33 (assume @p486 (forall @t6 (=> @t216 (forall @t27 (=> @t102 (forall @t140 (=> @t158 (= (tptp.in @t69 @t307) @t354)))))))) % 1.11/1.33 (assume @p487 (forall @t6 (=> @t93 (= @t263 (forall @t198 (not (and @t655 (tptp.in @t69 @t226) @t355 @t661 (not @t659)))))))) % 1.11/1.33 (assume @p488 (forall @t19 (= (tptp.subset @t1 @t662) (or @t281 (= @t1 @t662))))) % 1.11/1.33 (assume @p489 (forall @t19 (=> @t22 (tptp.subset @t1 @t663)))) % 1.11/1.33 (assume @p490 (forall @t274 (= (tptp.in @t391 @t665) (and @t664 (tptp.in @t11 @t178))))) % 1.11/1.33 (assume @p491 (forall @t19 (=> @t358 @t666))) % 1.11/1.33 (assume @p492 (forall @t75 (=> @t409 (= @t668 (and (tptp.in @t11 @t373) @t20))))) % 1.11/1.33 (assume @p493 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143 @t151 @t78 @t77))) % 1.11/1.33 (assume @p494 (forall @t6 (=> @t669 (exists @t27 (and @t102 @t141 @t106 @t321))))) % 1.11/1.33 (assume @p495 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))) % 1.11/1.33 (assume @p496 (forall @t6 (=> (and @t31 @t41 @t40 @t39 @t38 @t5) (exists @t27 (and @t102 @t141 @t107 @t106 @t670 @t321))))) % 1.11/1.33 (assume @p497 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t142))) % 1.11/1.33 (assume @p498 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t108))) % 1.11/1.33 (assume @p499 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143 @t78 @t77 @t76 @t142 @t144))) % 1.11/1.33 (assume @p500 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29))) % 1.11/1.33 (assume @p501 (exists @t6 (and @t149 @t90 @t89 @t64 @t112))) % 1.11/1.33 (assume @p502 (exists @t6 (and @t149 @t65))) % 1.11/1.33 (assume @p503 (exists @t6 @t223)) % 1.11/1.33 (assume @p504 (forall @t19 (exists @t140 (and @t74 @t95 @t71 @t70)))) % 1.11/1.33 (assume @p505 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t34))) % 1.11/1.33 (assume @p506 (exists @t6 (and @t149 @t28 @t45 @t48 @t51 @t53))) % 1.11/1.33 (assume @p507 (exists @t6 (and @t5 @t4))) % 1.11/1.33 (assume @p508 (exists @t6 @t127)) % 1.11/1.33 (assume @p509 (exists @t6 (and @t90 @t89 @t64 @t389))) % 1.11/1.33 (assume @p510 (exists @t6 (and @t93 @t68 @t115 @t54))) % 1.11/1.33 (assume @p511 (exists @t6 (and @t93 @t533 @t68))) % 1.11/1.33 (assume @p512 (exists @t6 (and @t54 @t93))) % 1.11/1.33 (assume @p513 (forall @t6 (=> @t149 (exists @t27 (and @t57 @t141))))) % 1.11/1.33 (assume @p514 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t99))))) % 1.11/1.33 (assume @p515 (forall @t6 (=> @t5 (exists @t27 (and @t102 @t107 @t106))))) % 1.11/1.33 (assume @p516 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t108 @t30 @t29))) % 1.11/1.33 (assume @p517 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34 @t36 @t129 @t138))) % 1.11/1.33 (assume @p518 (exists @t6 (and @t5 @t33 @t671 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t124 @t36 @t35 @t156 @t42 @t39 @t38))) % 1.11/1.33 (assume @p519 (forall @t19 (=> @t519 (exists @t140 (and @t239 @t243 @t242 @t672 @t241))))) % 1.11/1.33 (assume @p520 (exists @t6 @t54)) % 1.11/1.33 (assume @p521 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t122))) % 1.11/1.33 (assume @p522 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t124))) % 1.11/1.33 (assume @p523 (forall @t6 (exists @t27 (and @t57 @t100 @t186 @t134 @t133 @t63 @t62 @t61 @t52 @t114)))) % 1.11/1.33 (assume @p524 (exists @t6 @t117)) % 1.11/1.33 (assume @p525 (forall @t6 (exists @t27 (and @t137 @t186 @t134 @t133 @t132 @t131 @t130)))) % 1.11/1.33 (assume @p526 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34))) % 1.11/1.33 (assume @p527 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40))) % 1.11/1.33 (assume @p528 (exists @t6 (and @t93 @t68 @t115 @t54 @t90 @t89 @t64))) % 1.11/1.33 (assume @p529 (forall @t19 (exists @t140 (and @t74 @t95 @t71)))) % 1.11/1.33 (assume @p530 (exists @t6 @t623)) % 1.11/1.33 (assume @p531 (forall @t6 (exists @t27 (and @t57 @t100)))) % 1.11/1.33 (assume @p532 (forall @t6 (exists @t27 (and @t57 (not @t673))))) % 1.11/1.33 (assume @p533 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t99 @t98))))) % 1.11/1.33 (assume @p534 (forall @t6 (=> (and @t33 @t31 @t5) (exists @t27 (and @t102 @t141 @t114 @t107 @t106))))) % 1.11/1.33 (assume @p535 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29 @t129 @t138))) % 1.11/1.33 (assume @p536 (forall @t6 (exists @t27 (and @t421 @t141 @t114)))) % 1.11/1.33 (assume @p537 (exists @t6 @t149)) % 1.11/1.33 (assume @p538 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))) % 1.11/1.33 (assume @p539 (forall @t6 (=> @t149 (exists @t27 (and @t57 @t141 @t114))))) % 1.11/1.33 (assume @p540 (exists @t6 @t116)) % 1.11/1.33 (assume @p541 (exists @t6 (and @t10 @t9))) % 1.11/1.33 (assume @p542 (exists @t6 (and @t149 @t90 @t89 @t64))) % 1.11/1.33 (assume @p543 (forall @t6 (exists @t27 (and @t137 @t186 @t135 (tptp.symmetric @t11) @t610 @t609 @t136)))) % 1.11/1.33 (assume @p544 (exists @t6 @t534)) % 1.11/1.33 (assume @p545 (exists @t6 (and @t17 @t33))) % 1.11/1.33 (assume @p546 (forall @t6 (=> @t268 (exists @t27 (and @t102 @t141 @t99 @t98))))) % 1.11/1.33 (assume @p547 (forall @t6 (=> @t17 (exists @t27 (and @t299 @t141 @t114))))) % 1.11/1.33 (assume @p548 (forall @t6 (=> @t103 (exists @t27 (and @t102 @t100 @t55 @t58 @t59 @t60 @t111 @t121))))) % 1.11/1.33 (assume @p549 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t15))))) % 1.11/1.33 (assume @p550 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t35 @t156 @t42))) % 1.11/1.33 (assume @p551 (forall @t6 (=> (and @t33 @t671 @t31 @t41 @t40 @t37 @t5) (exists @t27 (and @t102 @t141 @t674 @t106 @t321))))) % 1.11/1.33 (assume @p552 (exists @t6 (and @t5 @t33 @t4 @t41 @t396))) % 1.11/1.33 (assume @p553 (forall @t6 (=> @t216 (exists @t27 (and @t102 @t141))))) % 1.11/1.33 (assume @p554 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t100 @t99 @t98 @t55 @t58 @t59 @t60 @t111 @t121 @t128))))) % 1.11/1.33 (assume @p555 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t214 (tptp.reflexive_relstr @t11) @t153 (tptp.antisymmetric_relstr @t11) @t15 @t245))))) % 1.11/1.33 (assume @p556 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))) % 1.11/1.33 (assume @p557 (exists @t6 (and @t10 @t33 @t9))) % 1.11/1.33 (assume @p558 (forall @t6 (=> @t105 (exists @t27 (and @t102 @t98))))) % 1.11/1.33 (assume @p559 (forall @t19 (=> @t18 (exists @t140 (and @t425 @t672 @t431))))) % 1.11/1.33 (assume @p560 (forall @t6 (=> @t268 (exists @t27 (and @t102 @t141 @t98))))) % 1.11/1.33 (assume @p561 (forall @t6 (=> @t5 (exists @t27 (and @t102 @t670 @t321))))) % 1.11/1.33 (assume @p562 (forall @t19 (=> (and @t17 @t214 @t16) (exists @t140 (and @t425 @t243 @t672 @t431))))) % 1.11/1.33 (assume @p563 (forall @t6 (=> @t397 (exists @t27 (and @t102 @t141 @t670 @t321))))) % 1.11/1.33 (assume @p564 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79))) % 1.11/1.33 (assume @p565 (forall @t6 (=> @t669 (exists @t27 (and @t102 @t141 @t107 @t670))))) % 1.11/1.33 (assume @p566 (forall @t274 (=> @t451 (= @t449 @t181)))) % 1.11/1.33 (assume @p567 (forall @t274 (=> @t455 (= @t453 @t181)))) % 1.11/1.33 (assume @p568 (forall @t6 (= @t457 @t56))) % 1.11/1.33 (assume @p569 (forall @t19 (=> @t93 (= @t458 @t400)))) % 1.11/1.33 (assume @p570 (forall @t274 (=> @t464 (= @t460 @t407)))) % 1.11/1.33 (assume @p571 (forall @t6 (= @t318 @t316))) % 1.11/1.33 (assume @p572 (forall @t470 (=> @t469 (= @t468 (tptp.apply_binary @t178 @t200 @t231))))) % 1.11/1.33 (assume @p573 (forall @t6 (=> @t329 (= @t327 @t416)))) % 1.11/1.33 (assume @p574 (forall @t274 (=> @t472 (= @t471 @t675)))) % 1.11/1.33 (assume @p575 (forall @t75 (=> @t160 (= @t157 @t676)))) % 1.11/1.33 (assume @p576 (forall @t75 (=> @t166 (= @t164 @t288)))) % 1.11/1.33 (assume @p577 (forall @t274 (=> @t488 (= @t484 @t407)))) % 1.11/1.33 (assume @p578 (forall @t75 (=> @t171 (= @t169 @t250)))) % 1.11/1.33 (assume @p579 (forall @t75 (=> @t74 (= @t283 @t373)))) % 1.11/1.33 (assume @p580 (forall @t75 (=> @t174 (= @t172 @t677)))) % 1.11/1.33 (assume @p581 (forall @t274 (=> @t491 (= @t490 (tptp.relation_inverse_image @t69 @t178))))) % 1.11/1.33 (assume @p582 (forall @t75 (=> @t74 (= @t495 @t372)))) % 1.11/1.33 (assume @p583 (forall @t19 (=> @t421 (= @t496 @t663)))) % 1.11/1.33 (assume @p584 (forall @t75 (=> @t174 (= @t175 @t678)))) % 1.11/1.33 (assume @p585 (forall @t6 (= @t498 @t184))) % 1.11/1.33 (assume @p586 (forall @t19 (=> @t421 (= @t500 @t325)))) % 1.11/1.33 (assume @p587 (forall @t75 (=> @t174 (= @t501 @t679)))) % 1.11/1.33 (assume @p588 (forall @t75 (=> @t503 (= @t502 @t404)))) % 1.11/1.33 (assume @p589 (forall @t509 (=> @t508 (= @t505 @t680)))) % 1.11/1.33 (assume @p590 (forall @t274 (=> @t512 (= @t511 @t407)))) % 1.11/1.33 (assume @p591 (forall @t274 (=> @t514 (= @t513 @t407)))) % 1.11/1.33 (assume @p592 (forall @t274 (=> @t74 (= @t516 @t675)))) % 1.11/1.33 (assume @p593 (forall @t19 (=> @t518 (forall @t140 (= @t517 (tptp.element @t69 @t11)))))) % 1.11/1.33 (assume @p594 (forall @t75 (= @t284 @t74))) % 1.11/1.33 (assume @p595 (forall @t19 (=> @t177 (= @t176 @t188)))) % 1.11/1.33 (assume @p596 (forall @t19 (= @t375 (tptp.are_equipotent @t1 @t11)))) % 1.11/1.33 (assume @p597 (forall @t75 (=> @t682 (= @t681 @t353)))) % 1.11/1.33 (assume @p598 (forall @t75 (=> @t683 (= (tptp.related_reflexive @t1 @t11 @t69) @t341)))) % 1.11/1.33 (assume @p599 (forall @t19 (=> @t177 (tptp.ordinal_subset @t1 @t1)))) % 1.11/1.33 (assume @p600 (forall @t19 (tptp.subset @t1 @t1))) % 1.11/1.33 (assume @p601 (forall @t19 (tptp.equipotent @t1 @t1))) % 1.11/1.33 (assume @p602 (forall @t75 (=> @t682 (tptp.below_refl @t1 @t11 @t11)))) % 1.11/1.33 (assume @p603 (forall @t75 (=> @t683 (tptp.related_reflexive @t1 @t11 @t11)))) % 1.11/1.33 (assume @p604 (forall @t19 (=> @t698 (=> @t697 (exists @t140 (and @t95 @t71 (forall @t205 (= @t204 (and @t304 @t304 (exists @t688 (and (= @t178 @t685) (tptp.in @t200 @t685) (forall @t687 (=> @t686 (tptp.in (tptp.ordered_pair @t200 @t684) @t11)))))))))))))) % 1.11/1.33 (assume @p605 (forall @t6 (=> @t701 (exists @t27 (and @t186 @t134 (forall @t183 (= @t182 (and @t180 @t180 (= @t178 @t660))))))))) % 1.11/1.33 (assume @p606 (forall @t19 (=> @t714 (=> @t713 (exists @t140 (and @t95 @t71 (forall @t205 (= @t204 (and @t707 @t707 @t705))))))))) % 1.11/1.33 (assume @p607 (forall @t19 (=> @t714 (=> @t715 (exists @t140 (and @t95 @t71 (forall @t205 (= @t204 (and @t203 @t203 @t705))))))))) % 1.11/1.33 (assume @p608 (forall @t6 (=> (exists @t27 (and @t61 @t20)) (exists @t27 (and @t61 @t20 (forall @t140 (=> @t716 (=> @t180 (tptp.ordinal_subset @t11 @t69))))))))) % 1.11/1.33 (assume @p609 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t746)) (not (and @t305 (forall @t27 (not (and @t20 (forall @t140 (=> (and @t180 @t745) (= @t69 @t11))))))))))) (forall @t193 (=> @t724 (=> @t744 (=> (tptp.in @t741 tptp.omega) (forall @t693 (=> (tptp.element @t651 (tptp.powerset (tptp.powerset @t741))) (not (and (not (= @t651 tptp.empty_set)) (forall @t692 (not (and @t691 (forall @t688 (=> (and @t740 (tptp.subset @t690 @t685)) @t739))))))))))))) (forall @t193 (=> @t724 (=> (and (tptp.being_limit_ordinal @t178) (forall @t687 (=> (tptp.ordinal @t684) (=> (tptp.in @t684 @t178) (=> (tptp.in @t684 tptp.omega) (forall @t738 (=> (tptp.element @t734 (tptp.powerset (tptp.powerset @t684))) (not (and (not (= @t734 tptp.empty_set)) (forall @t737 (not (and @t736 (forall @t735 (=> (and (tptp.in @t733 @t734) (tptp.subset @t732 @t733)) (= @t733 @t732))))))))))))))) (or (= @t178 tptp.empty_set) (=> @t723 (forall @t731 (=> (tptp.element @t727 @t721) (not (and (not (= @t727 tptp.empty_set)) (forall @t730 (not (and (tptp.in @t725 @t727) (forall @t729 (=> (and @t728 (tptp.subset @t725 @t726)) (= @t726 @t725)))))))))))))))) (forall @t193 (=> @t724 (=> @t723 (forall @t722 (=> (tptp.element @t719 @t721) (not (and (not (= @t719 tptp.empty_set)) (forall @t720 (not (and (tptp.in @t717 @t719) (forall (@list @t718) (=> (and (tptp.in @t718 @t719) (tptp.subset @t717 @t718)) (= @t718 @t717))))))))))))))) % 1.11/1.33 (assume @p610 (forall @t75 (=> @t750 (exists @t193 (and @t749 (forall @t346 (= (tptp.in @t344 @t178) (and @t224 @t748 (tptp.in (tptp.ordered_pair @t406 @t747) @t11))))))))) % 1.11/1.33 (assume @p611 (forall @t19 (=> @t698 (=> @t697 (exists @t140 (forall @t193 (= @t220 (exists @t210 (and @t224 @t224 (exists @t688 (and (= @t200 @t685) @t752 @t751))))))))))) % 1.11/1.33 (assume @p612 (forall @t19 (=> @t698 (forall @t140 (=> (forall @t654 (=> (and @t689 (exists @t763 (and @t762 @t760 (exists @t692 (and (= @t229 @t690) (tptp.in @t651 @t690) (forall @t688 (=> @t759 (tptp.in (tptp.ordered_pair @t651 @t685) @t11))))))) @t758 (exists @t757 (and (= @t756 @t231) (tptp.in @t684 @t1) (exists @t737 (and @t755 (tptp.in @t734 @t732) (forall @t735 (=> (tptp.in @t733 @t732) (tptp.in (tptp.ordered_pair @t734 @t733) @t11)))))))) @t754)) (exists @t193 (forall @t210 (= @t273 (exists @t236 (and (tptp.in @t231 @t753) @t402 (exists (@list @t727 @t725) (and (= (tptp.ordered_pair @t727 @t725) @t200) (tptp.in @t727 @t1) (exists @t729 (and (= @t727 @t726) (tptp.in @t725 @t726) (forall @t722 (=> (tptp.in @t719 @t726) (tptp.in (tptp.ordered_pair @t725 @t719) @t11))))))))))))))))) % 1.11/1.33 (assume @p613 (forall @t75 (=> @t770 (=> (forall @t654 (=> (and @t689 (exists @t234 (and @t768 (exists @t693 (and @t767 @t766 (tptp.relstr_set_smaller @t1 @t229 @t651))))) @t758 (exists @t692 (and (= @t690 @t231) (exists @t688 (and (tptp.element @t685 @t3) @t765 (tptp.relstr_set_smaller @t1 @t690 @t685)))))) @t754)) (exists @t193 (forall @t210 (= @t273 (exists @t236 (and (tptp.in @t231 @t764) @t402 (exists @t687 (and (= @t684 @t200) (exists @t738 (and (tptp.element @t734 @t3) (tptp.in @t734 @t11) (tptp.relstr_set_smaller @t1 @t684 @t734)))))))))))))) % 1.11/1.33 (assume @p614 (forall @t6 (=> @t701 (exists @t27 (forall @t140 (= @t300 (exists @t193 (and @t304 @t304 (= @t69 (tptp.singleton @t178)))))))))) % 1.11/1.33 (assume @p615 (forall @t19 (=> (forall @t418 (=> (and @t179 (exists @t779 (and (= @t778 @t178) @t748 (= @t229 (tptp.singleton @t231)))) @t777 (exists @t776 (and (= @t775 @t200) @t774 (= @t690 (tptp.singleton @t651))))) @t689)) (exists @t140 (forall @t193 (= @t220 (exists @t210 (and (tptp.in @t200 @t96) @t773 (exists @t772 (and (= @t771 @t178) (tptp.in @t685 @t1) (= @t684 (tptp.singleton @t685)))))))))))) % 1.11/1.33 (assume @p616 (forall @t6 (=> @t64 (=> (forall @t279 (=> (and @t290 (exists @t210 (and @t782 @t777 (=> (tptp.in @t200 tptp.omega) (forall @t236 (=> (tptp.element @t231 (tptp.powerset (tptp.powerset @t200))) @t781))))) @t330 (exists @t692 (and (tptp.ordinal @t690) (= @t178 @t690) (=> (tptp.in @t690 tptp.omega) (forall @t688 (=> (tptp.element @t685 (tptp.powerset (tptp.powerset @t690))) (not (and (not (= @t685 tptp.empty_set)) (forall @t687 (not (and @t686 (forall @t738 (=> (and (tptp.in @t734 @t685) (tptp.subset @t684 @t734)) (= @t734 @t684)))))))))))))) @t179)) (exists @t27 (forall @t140 (= @t300 (exists @t193 (and (tptp.in @t178 @t294) @t411 (exists @t737 (and (tptp.ordinal @t732) (= @t69 @t732) (=> (tptp.in @t732 tptp.omega) (forall @t735 (=> (tptp.element @t733 (tptp.powerset (tptp.powerset @t732))) (not (and (not (= @t733 tptp.empty_set)) (forall @t731 (not (and (tptp.in @t727 @t733) (forall @t730 (=> (and (tptp.in @t725 @t733) (tptp.subset @t727 @t725)) @t780))))))))))))))))))))) % 1.11/1.33 (assume @p617 (forall @t19 (=> @t596 (=> (forall @t418 (=> (and @t179 (exists @t236 (and @t711 @t785 (tptp.closed_subset @t231 @t1) @t783)) @t777 (exists @t234 (and @t708 @t768 (tptp.closed_subset @t229 @t1) (tptp.subset @t11 @t200)))) @t689)) (exists @t140 (forall @t193 (= @t220 (exists @t210 (and @t784 @t773 (exists @t693 (and @t704 @t703 (tptp.closed_subset @t651 @t1) @t783))))))))))) % 1.11/1.33 (assume @p618 (forall @t19 (=> @t787 (=> (forall @t418 (=> (and @t179 @t786 @t777 (tptp.in (tptp.set_difference @t357 @t200) @t11)) @t689)) (exists @t140 (forall @t193 (= @t220 (exists @t210 (and @t784 @t773 @t786))))))))) % 1.11/1.33 (assume @p619 (forall @t19 (=> @t789 (=> (forall @t418 (=> (and @t179 (exists @t236 (and @t345 (= @t178 (tptp.set_difference @t231 @t293)))) @t777 (exists @t234 (and @t788 (= @t200 (tptp.set_difference @t229 @t293))))) @t689)) (exists @t140 (forall @t193 (= @t220 (exists @t210 (and (tptp.in @t200 @t56) @t773 (exists @t693 (and @t766 (= @t178 (tptp.set_difference @t651 @t293))))))))))))) % 1.11/1.33 (assume @p620 (forall @t19 (=> @t714 (=> @t713 (exists @t140 (forall @t193 (= @t220 (exists @t210 (and @t792 @t792 @t791))))))))) % 1.11/1.33 (assume @p621 (forall @t19 (=> @t714 (forall @t140 (=> (forall @t654 (=> (and @t689 (exists @t763 (and @t762 (tptp.in @t229 @t706) @t802)) @t758 (exists @t772 (and @t799 (tptp.in @t685 @t706) @t798))) @t754)) (exists @t193 (forall @t210 (= @t273 (exists @t236 (and (tptp.in @t231 @t796) @t402 (exists @t795 (and @t794 (tptp.in @t732 @t706) @t793)))))))))))) % 1.11/1.33 (assume @p622 (forall @t19 (=> @t714 (=> @t715 (exists @t140 (forall @t193 (= @t220 (exists @t210 (and @t218 @t218 @t791))))))))) % 1.11/1.33 (assume @p623 (forall @t19 (=> @t714 (forall @t140 (=> (forall @t654 (=> (and @t689 (exists @t763 (and @t762 @t788 @t802)) @t758 (exists @t772 (and @t799 @t765 @t798))) @t754)) (exists @t193 (forall @t210 (= @t273 (exists @t236 (and (tptp.in @t231 @t803) @t402 (exists @t795 (and @t794 (tptp.in @t732 @t11) @t793)))))))))))) % 1.11/1.33 (assume @p624 (forall @t75 (=> @t750 (=> (forall @t654 (=> (and @t689 (exists @t763 (and (= @t200 @t761) (tptp.in (tptp.ordered_pair @t804 (tptp.apply @t69 @t651)) @t11))) @t758 (exists (@list @t690 @t685) (and (= @t231 (tptp.ordered_pair @t690 @t685)) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t690) (tptp.apply @t69 @t685)) @t11)))) @t754)) (exists @t193 (forall @t210 (= @t273 (exists @t236 (and (tptp.in @t231 @t442) @t402 (exists @t757 (and (= @t200 @t756) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t684) (tptp.apply @t69 @t734)) @t11)))))))))))) % 1.11/1.33 (assume @p625 (forall @t6 (=> (forall @t279 (=> (and @t290 @t716 @t330 @t724) @t179)) (exists @t27 (forall @t140 (= @t300 (exists @t193 (and @t304 @t411 @t716)))))))) % 1.11/1.33 (assume @p626 (forall @t75 (=> @t807 (=> (forall @t654 (=> (and @t689 @t805 @t758 (tptp.in (tptp.relation_image @t69 @t231) @t11)) @t754)) (exists @t193 (forall @t210 (= @t273 (exists @t236 (and (tptp.in @t231 @t806) @t402 @t805))))))))) % 1.11/1.33 (assume @p627 (forall @t75 (=> @t452 (forall @t193 (=> (forall @t819 (=> (and @t754 (exists @t693 (and (tptp.netstr_induced_subset @t651 @t1 @t11) (exists @t692 (and (tptp.element @t690 @t14) (= @t178 (tptp.topstr_closure @t1 @t651)) (= @t231 @t690) (= @t651 (tptp.relation_rng_as_subset (tptp.the_carrier @t818) @t3 (tptp.the_mapping @t1 @t818))))))) @t817 (exists @t688 (and (tptp.netstr_induced_subset @t685 @t1 @t11) (exists @t687 (and @t816 (= @t178 (tptp.topstr_closure @t1 @t685)) (= @t229 @t684) (= @t685 @t815)))))) @t813)) (exists @t210 (forall @t236 (= @t743 (exists @t234 (and (tptp.in @t229 @t14) @t742 (exists @t738 (and @t812 (exists @t737 (and @t811 (= @t178 @t810) (= @t231 @t732) @t809)))))))))))))) % 1.11/1.33 (assume @p628 @t902) % 1.11/1.33 (assume @p629 (forall @t19 (=> @t61 (=> (forall @t418 (=> (and @t179 (exists @t236 (and (tptp.ordinal @t231) @t758 @t748)) @t777 (exists @t234 (and (tptp.ordinal @t229) @t817 @t760))) @t689)) (exists @t140 (forall @t193 (= @t220 (exists @t210 (and (tptp.in @t200 @t903) @t773 (exists @t693 (and (tptp.ordinal @t651) @t652 @t774))))))))))) % 1.11/1.33 (assume @p630 (forall @t19 (=> @t698 (forall @t140 (exists @t193 (forall @t210 (= @t273 (and (tptp.in @t200 @t753) (exists @t779 (and @t905 @t748 (exists @t693 (and @t904 (tptp.in @t229 @t651) (forall @t692 (=> @t691 (tptp.in (tptp.ordered_pair @t229 @t690) @t11))))))))))))))) % 1.11/1.33 (assume @p631 (forall @t75 (=> @t770 (exists @t193 (forall @t210 (= @t273 (and (tptp.in @t200 @t764) (exists @t236 (and @t402 @t906))))))))) % 1.11/1.33 (assume @p632 (forall @t19 (exists @t140 (forall @t193 (= @t220 (and (tptp.in @t178 @t96) (exists @t346 (and (= @t344 @t178) @t224 (= @t231 @t907))))))))) % 1.11/1.33 (assume @p633 (forall @t6 (=> @t64 (exists @t27 (forall @t140 (= @t300 (and (tptp.in @t69 @t294) (exists @t193 (and @t724 @t179 @t744))))))))) % 1.11/1.33 (assume @p634 (forall @t19 (=> @t596 (exists @t140 (forall @t193 (= @t220 (and @t909 @t908))))))) % 1.11/1.33 (assume @p635 (forall @t19 (=> @t787 (exists @t140 (forall @t193 (= @t220 (and @t909 @t786))))))) % 1.11/1.33 (assume @p636 (forall @t19 (=> @t789 (exists @t140 (forall @t193 (= @t220 (and (tptp.in @t178 @t56) (exists @t210 (and @t218 (= @t178 (tptp.set_difference @t200 @t293))))))))))) % 1.11/1.33 (assume @p637 (forall @t19 (=> @t714 (forall @t140 (exists @t193 (forall @t210 (= @t273 (and (tptp.in @t200 @t796) (exists @t779 (and @t905 (tptp.in @t231 @t706) @t910)))))))))) % 1.11/1.33 (assume @p638 (forall @t19 (=> @t714 (forall @t140 (exists @t193 (forall @t210 (= @t273 (and (tptp.in @t200 @t803) (exists @t779 (and @t905 @t345 @t910)))))))))) % 1.11/1.33 (assume @p639 (forall @t75 (=> @t750 (exists @t193 (forall @t210 (= @t273 (and (tptp.in @t200 @t442) (exists @t779 (and (= @t200 @t778) (tptp.in (tptp.ordered_pair @t747 @t804) @t11)))))))))) % 1.11/1.33 (assume @p640 (forall @t6 (exists @t27 (forall @t140 (= @t300 (and @t180 @t716)))))) % 1.11/1.33 (assume @p641 (forall @t75 (=> @t807 (exists @t193 (forall @t210 (= @t273 (and (tptp.in @t200 @t806) @t805))))))) % 1.11/1.33 (assume @p642 (forall @t75 (=> @t452 (forall @t193 (exists @t210 (forall @t236 (= @t743 (and @t912 (exists @t234 (and (tptp.netstr_induced_subset @t229 @t1 @t11) (exists @t693 (and (tptp.element @t651 @t14) (= @t178 (tptp.topstr_closure @t1 @t229)) @t904 (= @t229 (tptp.relation_rng_as_subset (tptp.the_carrier @t911) @t3 (tptp.the_mapping @t1 @t911))))))))))))))) % 1.11/1.33 (assume @p643 @t941) % 1.11/1.33 (assume @p644 (forall @t19 (=> @t61 (exists @t140 (forall @t193 (= @t220 (and (tptp.in @t178 @t903) (exists @t210 (and @t782 @t689 @t224))))))))) % 1.11/1.33 (assume @p645 (forall @t75 (=> @t770 (=> (and @t347 (exists @t193 (and @t192 @t203 (tptp.relstr_set_smaller @t1 tptp.empty_set @t178))) (forall @t346 (=> (and @t942 (tptp.subset @t231 @t69) @t906) (exists @t693 (and @t767 @t766 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t231 @t907) @t651)))))) (exists @t692 (and (tptp.element @t690 @t3) (tptp.in @t690 @t11) (tptp.relstr_set_smaller @t1 @t69 @t690))))))) % 1.11/1.33 (assume @p646 (forall @t19 (=> @t698 (=> (and (forall @t418 (=> (and @t180 @t696 @t694) @t689)) (forall @t140 (not (and @t180 (forall @t193 (not (exists @t688 (and (= @t69 @t685) @t752 @t751)))))))) (exists @t140 (and @t95 @t71 @t374 (forall @t193 (=> @t304 (exists @t738 (and (= @t178 @t734) (tptp.in @t407 @t734) (forall @t737 (=> @t736 (tptp.in (tptp.ordered_pair @t407 @t732) @t11))))))))))))) % 1.11/1.33 (assume @p647 (forall @t6 (=> (and (forall @t279 (=> (and @t20 @t700 @t699) @t179)) (forall @t27 (not (and @t20 (forall @t140 (not @t700)))))) @t945))) % 1.11/1.33 (assume @p648 (forall @t19 (=> @t714 (=> (and (forall @t418 (=> (and @t710 @t712 @t709) @t689)) (forall @t140 (not (and @t710 @t947)))) (exists @t140 (and @t95 @t71 (= @t373 @t706) (forall @t193 (=> @t707 @t946)))))))) % 1.11/1.33 (assume @p649 (forall @t19 (=> @t714 (=> (and (forall @t418 (=> (and @t300 @t712 @t709) @t689)) (forall @t140 (not (and @t300 @t947)))) (exists @t140 (and @t95 @t71 (= @t373 @t11) (forall @t193 (=> @t203 @t946)))))))) % 1.11/1.33 (assume @p650 (=> (forall @t6 (=> @t64 (=> (forall @t27 (=> @t61 (=> @t20 (=> (tptp.in @t11 tptp.omega) (forall @t140 (=> (tptp.element @t69 (tptp.powerset @t494)) (not (and @t359 (forall @t193 (not (and @t220 (forall @t210 (=> (and @t942 (tptp.subset @t178 @t200)) @t773))))))))))))) (=> @t949 (forall @t236 (=> (tptp.element @t231 @t420) @t781)))))) (forall @t6 (=> @t64 (=> @t949 (forall @t692 (=> (tptp.element @t690 @t420) (not (and (not (= @t690 tptp.empty_set)) (forall @t688 (not (and @t759 (forall @t687 (=> (and @t948 (tptp.subset @t685 @t684)) (= @t684 @t685))))))))))))))) % 1.11/1.33 (assume @p651 (forall @t6 @t945)) % 1.11/1.33 (assume @p652 (forall @t19 (=> @t596 (exists @t140 (and @t349 (forall @t193 (=> @t392 (= @t220 @t908)))))))) % 1.11/1.33 (assume @p653 (forall @t19 (=> @t787 (exists @t140 (and @t349 (forall @t193 (=> @t392 (= @t220 @t786)))))))) % 1.11/1.33 (assume @p654 (forall @t19 (=> @t410 (tptp.disjoint @t11 @t1)))) % 1.11/1.33 (assume @p655 (forall @t19 (=> @t375 (tptp.equipotent @t11 @t1)))) % 1.11/1.33 (assume @p656 (forall @t6 (tptp.in @t1 @t294))) % 1.11/1.33 (assume @p657 (forall @t19 (=> @t421 (and @t951 (not (and (not @t950) @t282)))))) % 1.11/1.33 (assume @p658 (forall @t274 (not (and (= @t161 (tptp.unordered_pair @t69 @t178)) (not @t649) (not @t631))))) % 1.11/1.33 (assume @p659 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t69))) (and @t22 (tptp.in @t1 @t372)))))) % 1.11/1.33 (assume @p660 (forall @t19 (=> @t186 (tptp.subset @t952 @t1)))) % 1.11/1.33 (assume @p661 (forall @t19 (=> @t186 (tptp.subset @t225 @t11)))) % 1.11/1.33 (assume @p662 (forall @t19 (=> @t186 (tptp.subset @t952 @t276)))) % 1.11/1.33 (assume @p663 (forall @t75 (=> @t188 (and (tptp.subset @t753 @t803) (tptp.subset (tptp.cartesian_product2 @t69 @t1) (tptp.cartesian_product2 @t69 @t11)))))) % 1.11/1.33 (assume @p664 (forall @t19 (=> @t186 (= @t952 (tptp.set_intersection2 @t276 @t1))))) % 1.11/1.33 (assume @p665 (forall @t274 (=> (and @t188 @t314) (tptp.subset @t753 (tptp.cartesian_product2 @t11 @t178))))) % 1.11/1.33 (assume @p666 (forall @t19 (=> @t421 (=> @t326 (= @t953 (tptp.subset_complement @t1 @t496)))))) % 1.11/1.33 (assume @p667 (forall @t19 (=> @t957 (= @t954 (forall @t183 (=> (and @t314 (tptp.subset @t178 @t1) @t300) @t203)))))) % 1.11/1.33 (assume @p668 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (= (tptp.in @t69 @t361) (and @t212 @t256)))))))) % 1.11/1.33 (assume @p669 (forall @t75 (=> @t284 (and (tptp.subset @t373 @t1) (tptp.subset @t372 @t11))))) % 1.11/1.33 (assume @p670 (forall @t19 (=> @t421 (=> @t326 (= @t958 (tptp.subset_complement @t1 @t500)))))) % 1.11/1.33 (assume @p671 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t140 (=> @t405 (= @t959 (tptp.a_3_0_waybel_9 @t1 @t11 @t69))))))))) % 1.11/1.33 (assume @p672 (forall @t19 (=> @t188 (= @t163 @t11)))) % 1.11/1.33 (assume @p673 (forall @t6 (exists @t27 (and @t22 @t961 (forall @t140 (=> @t300 (tptp.in @t764 @t11))) @t960)))) % 1.11/1.33 (assume @p674 (forall @t6 (=> @t268 (= @t351 (forall @t27 (=> @t299 (not (and (tptp.centered @t11) @t336 (= @t962 tptp.empty_set))))))))) % 1.11/1.33 (assume @p675 (forall @t19 (=> (and @t188 @t114) @t65))) % 1.11/1.33 (assume @p676 (forall @t6 (=> @t17 (forall @t27 (=> @t299 (= (tptp.finite @t706) @t114)))))) % 1.11/1.33 (assume @p677 (forall @t6 (=> @t268 (forall @t27 (=> @t246 (forall @t140 (=> @t158 (= @t963 (tptp.is_a_convergence_point_of_set @t1 @t361 @t69))))))))) % 1.11/1.33 (assume @p678 (forall @t75 (=> @t95 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t69) @t11) (tptp.relation_rng_restriction @t1 @t964))))) % 1.11/1.33 (assume @p679 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_image @t69 @t11)) (exists @t193 (and (tptp.in @t178 @t373) (tptp.in (tptp.ordered_pair @t178 @t1) @t69) @t203)))))) % 1.11/1.33 (assume @p680 (forall @t19 (=> @t186 (tptp.subset @t965 @t276)))) % 1.11/1.33 (assume @p681 (forall @t19 (=> @t620 (tptp.subset @t967 @t1)))) % 1.11/1.33 (assume @p682 (forall @t19 (=> @t186 (= @t965 (tptp.relation_image @t11 @t968))))) % 1.11/1.33 (assume @p683 (forall @t19 (=> @t186 (=> (tptp.subset @t1 @t275) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t965)))))) % 1.11/1.33 (assume @p684 (forall @t6 (=> @t93 (= (tptp.relation_image @t1 @t219) @t387)))) % 1.11/1.33 (assume @p685 (forall @t19 (=> @t620 (=> @t969 (= @t967 @t1))))) % 1.11/1.33 (assume @p686 (forall @t274 (=> @t972 (=> (tptp.subset @t971 @t11) @t970)))) % 1.11/1.33 (assume @p687 (forall @t6 (=> @t216 (forall @t27 (=> (and @t141 @t978 @t977 @t976) (= (tptp.set_difference @t11 @t975) @t974)))))) % 1.11/1.33 (assume @p688 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= (tptp.subset_intersection2 @t3 @t11 @t357) @t11)))))) % 1.11/1.33 (assume @p689 (forall @t6 (=> @t216 (forall @t27 (=> @t979 (= @t11 @t974)))))) % 1.11/1.33 (assume @p690 (forall @t6 (=> @t980 (forall @t27 (= @t415 (exists @t140 (and @t158 @t414 @t413))))))) % 1.11/1.33 (assume @p691 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (= @t981 (tptp.relation_image @t11 @t387))))))) % 1.11/1.33 (assume @p692 (forall @t75 (=> @t95 (= (tptp.in @t1 @t982) (exists @t193 (and (tptp.in @t178 @t372) (tptp.in (tptp.ordered_pair @t1 @t178) @t69) @t203)))))) % 1.11/1.33 (assume @p693 (forall @t19 (=> @t186 (tptp.subset @t966 @t275)))) % 1.11/1.33 (assume @p694 (forall @t274 (=> @t972 (=> @t188 @t970)))) % 1.11/1.33 (assume @p695 (forall @t6 (=> @t103 (forall @t27 (=> @t299 (= @t336 (tptp.open_subsets @t706 @t1))))))) % 1.11/1.33 (assume @p696 (forall @t6 (=> @t216 (forall @t27 (=> (and @t214 @t245 @t16) (forall @t140 (=> @t405 (forall @t193 (=> @t211 (forall @t210 (=> (tptp.element @t200 @t959) (=> @t689 (= (tptp.apply_netmap @t1 @t11 @t178) (tptp.apply_netmap @t1 @t404 @t200)))))))))))))) % 1.11/1.33 (assume @p697 (forall @t75 (=> @t95 (= (tptp.in @t1 @t983) (and @t664 (tptp.in @t1 @t399)))))) % 1.11/1.33 (assume @p698 (forall @t6 (=> @t980 (forall @t27 (= @t197 (exists @t140 (and @t158 @t195 @t194))))))) % 1.11/1.33 (assume @p699 (forall @t19 (=> @t186 (not (and @t305 @t969 (= @t966 tptp.empty_set)))))) % 1.11/1.33 (assume @p700 (forall @t75 (=> @t95 (=> @t188 (tptp.subset (tptp.relation_inverse_image @t69 @t1) @t982))))) % 1.11/1.33 (assume @p701 (forall @t19 (=> @t620 (=> @t65 (tptp.finite @t965))))) % 1.11/1.33 (assume @p702 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= @t307 @t398)))))) % 1.11/1.33 (assume @p703 (forall @t6 (=> @t103 (forall @t27 (=> @t299 (= @t310 (tptp.closed_subsets @t706 @t1))))))) % 1.11/1.33 (assume @p704 (forall @t19 (=> @t186 (= @t984 (tptp.relation_dom_restriction @t225 @t1))))) % 1.11/1.33 (assume @p705 (forall @t19 (tptp.subset @t168 @t1))) % 1.11/1.33 (assume @p706 (forall @t6 (=> @t65 (forall @t27 (=> @t421 (not (and @t326 (forall @t140 (not (and @t300 (forall @t193 (=> (and @t203 @t314) @t411)))))))))))) % 1.11/1.33 (assume @p707 (forall @t19 (=> @t186 (= @t984 (tptp.relation_rng_restriction @t1 @t985))))) % 1.11/1.33 (assume @p708 (forall @t6 (=> @t268 (forall @t27 (=> @t979 (forall @t140 (=> @t158 (= (tptp.in @t69 (tptp.lim_points_of_net @t1 @t973)) @t393)))))))) % 1.11/1.33 (assume @p709 (forall @t6 (= (tptp.bottom_of_relstr @t343) tptp.empty_set))) % 1.11/1.33 (assume @p710 (forall @t75 (=> @t95 (=> (tptp.in @t1 (tptp.relation_field @t983)) (and @t987 @t22))))) % 1.11/1.33 (assume @p711 (forall @t75 (=> (and @t188 @t988) (tptp.subset @t1 @t678)))) % 1.11/1.33 (assume @p712 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t425 (tptp.subset @t230 @t14)))))))) % 1.11/1.33 (assume @p713 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.11/1.33 (assume @p714 (forall @t19 (=> @t991 (forall @t140 (=> @t990 (and (= (tptp.join @t286 @t11 @t69) @t677) (= (tptp.meet @t286 @t11 @t69) @t678))))))) % 1.11/1.33 (assume @p715 (forall @t19 (=> @t22 @t992))) % 1.11/1.33 (assume @p716 (forall @t6 (=> (and @t33 @t41 @t5) (forall @t27 (=> @t102 (= (and @t141 @t107) (forall @t140 (=> (and @t347 @t769) (exists @t193 (and @t192 @t203 @t993)))))))))) % 1.11/1.33 (assume @p717 (forall @t75 (=> (and @t188 @t745) @t988))) % 1.11/1.33 (assume @p718 (forall @t6 (and (= (tptp.the_carrier @t319) @t1) (= (tptp.the_InternalRel @t319) @t318)))) % 1.11/1.33 (assume @p719 (= @t746 @t975)) % 1.11/1.33 (assume @p720 (forall @t75 (=> @t95 (=> @t995 (and @t994 (tptp.in @t11 @t372)))))) % 1.11/1.33 (assume @p721 (forall @t19 (=> @t186 (and (tptp.subset @t996 @t315) (tptp.subset @t996 @t1))))) % 1.11/1.33 (assume @p722 (forall @t6 (=> @t268 (forall @t27 (=> @t159 (forall @t140 (=> @t256 (=> (tptp.in @t11 (tptp.topstr_closure @t1 @t69)) (forall @t193 (=> (and @t648 (tptp.filtered_subset @t178 @t465) (tptp.upper_relstr_subset @t178 @t465) (tptp.proper_element @t178 @t466) (tptp.element @t178 @t466)) (=> (= @t178 @t317) (tptp.is_often_in @t1 (tptp.net_of_bool_filter @t1 @t357 @t178) @t69)))))))))))) % 1.11/1.33 (assume @p723 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t140 (=> @t425 (forall @t193 (=> @t211 (forall @t210 (=> @t209 (forall @t236 (=> @t235 (forall @t234 (=> @t233 (=> (and @t758 @t817 @t232) @t208)))))))))))))))) % 1.11/1.33 (assume @p724 (forall @t19 (=> @t620 (forall @t140 (=> @t409 (= @t999 (and @t994 (tptp.in @t997 @t275)))))))) % 1.11/1.33 (assume @p725 (forall @t274 (=> @t1001 (forall @t210 (=> (and (tptp.relation @t200) @t506) (=> @t180 (or @t282 (= (tptp.apply @t680 @t69) (tptp.apply @t200 @t1000))))))))) % 1.11/1.33 (assume @p726 (forall @t6 (=> @t90 (forall @t27 (=> @t61 (=> @t24 @t22)))))) % 1.11/1.33 (assume @p727 (forall @t6 (=> @t93 (tptp.subset @t1 (tptp.cartesian_product2 @t219 @t387))))) % 1.11/1.33 (assume @p728 (forall @t75 (=> @t95 (tptp.subset (tptp.fiber (tptp.relation_restriction @t69 @t1) @t11) (tptp.fiber @t69 @t11))))) % 1.11/1.33 (assume @p729 (forall @t6 (=> @t17 (forall @t27 (=> @t215 (forall @t140 (=> (and @t243 @t431 @t425) (forall @t193 (=> @t211 (forall @t210 (=> @t209 (forall @t236 (=> @t235 (forall @t234 (=> @t233 (=> (and @t758 @t817 @t208) @t232)))))))))))))))) % 1.11/1.33 (assume @p730 (forall @t19 (=> @t620 (forall @t140 (=> @t409 (=> @t999 (= (tptp.apply @t998 @t1) (tptp.apply @t11 @t997)))))))) % 1.11/1.33 (assume @p731 (forall @t6 (=> @t17 (forall @t27 (=> @t102 (= (tptp.subset_difference @t3 @t357 @t398) @t11)))))) % 1.11/1.33 (assume @p732 (forall @t75 (=> (tptp.relation_of2_as_subset @t69 @t11 @t1) (= (forall @t193 (not (and @t203 (forall @t210 (not @t204))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t69) @t11))))) % 1.11/1.33 (assume @p733 (forall @t19 (=> @t186 (=> @t135 (tptp.reflexive @t984))))) % 1.11/1.33 (assume @p734 (forall @t19 (=> @t620 (forall @t140 (=> @t409 (=> (tptp.in @t1 @t275) (= (tptp.apply (tptp.relation_composition @t11 @t69) @t1) (tptp.apply @t69 (tptp.apply @t11 @t1))))))))) % 1.11/1.33 (assume @p735 (forall @t6 (=> (and @t33 @t83 @t81 @t10) (forall @t27 (=> @t159 (forall @t140 (=> @t158 (tptp.below @t1 @t169 @t11)))))))) % 1.11/1.33 (assume @p736 (forall @t19 (=> @t61 (=> @t22 @t64)))) % 1.11/1.33 (assume @p737 (forall @t75 (=> @t284 (= (forall @t193 (not (and @t203 (forall @t210 (not (tptp.in @t257 @t69)))))) (= @t495 @t11))))) % 1.11/1.33 (assume @p738 (forall @t19 (=> @t186 (=> @t1002 (tptp.connected @t984))))) % 1.11/1.33 (assume @p739 (forall @t6 (=> @t268 (forall @t27 (=> @t102 (forall @t140 (=> @t158 (= @t1003 (exists @t193 (and @t380 (tptp.transitive_relstr @t178) (tptp.directed_relstr @t178) @t379 (tptp.is_eventually_in @t1 @t178 @t11) (tptp.is_a_cluster_point_of_netstr @t1 @t178 @t69))))))))))) % 1.11/1.33 (assume @p740 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (not (and @t657 @t423 @t21))))))) % 1.11/1.33 (assume @p741 (forall @t19 (=> @t186 (=> @t609 (tptp.transitive @t984))))) % 1.11/1.33 (assume @p742 (forall @t6 (=> @t980 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (=> (and @t341 (tptp.related @t1 @t69 @t11)) @t290)))))))) % 1.11/1.33 (assume @p743 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (=> @t188 (and (tptp.subset @t219 @t275) (tptp.subset @t387 @t276)))))))) % 1.11/1.33 (assume @p744 (forall @t19 (=> @t186 (=> @t610 (tptp.antisymmetric @t984))))) % 1.11/1.33 (assume @p745 (forall @t19 (=> @t186 (=> @t1006 (and @t1005 @t1004))))) % 1.11/1.33 (assume @p746 (forall @t6 (=> @t223 (=> (tptp.finite @t219) (tptp.finite @t387))))) % 1.11/1.33 (assume @p747 (forall @t6 (=> @t595 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (=> (and @t353 (tptp.below @t1 @t69 @t11)) @t290)))))))) % 1.11/1.33 (assume @p748 (forall @t6 (=> @t155 @t342))) % 1.11/1.33 (assume @p749 (forall @t6 (exists @t27 (and @t186 @t1006)))) % 1.11/1.33 (assume @p750 (forall @t75 (=> @t188 (tptp.subset (tptp.set_intersection2 @t1 @t69) @t678)))) % 1.11/1.33 (assume @p751 (forall @t19 (=> @t630 (forall @t140 (=> @t405 (= (tptp.latt_set_smaller @t11 @t69 @t1) (tptp.relstr_element_smaller @t1008 @t1 @t1007))))))) % 1.11/1.33 (assume @p752 (forall @t6 (=> @t149 (not (and (forall @t27 (not (and @t20 @t282))) (forall @t27 (=> @t620 (not (and @t944 (forall @t140 (=> @t180 (tptp.in @t943 @t69)))))))))))) % 1.11/1.33 (assume @p753 (forall @t19 (=> @t188 (= @t168 @t1)))) % 1.11/1.33 (assume @p754 (forall @t6 (=> @t216 (forall @t27 (=> @t246 (forall @t140 (=> @t212 @t228))))))) % 1.11/1.33 (assume @p755 (forall @t19 (=> @t630 (forall @t140 (=> @t1010 (= (tptp.relstr_element_smaller @t1008 @t1 @t69) (tptp.latt_set_smaller @t11 @t1009 @t1))))))) % 1.11/1.33 (assume @p756 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t98 @t611)))))) % 1.11/1.33 (assume @p757 (forall @t6 (=> @t268 (forall @t27 (=> @t246 (forall @t140 (=> @t158 (=> @t963 @t429)))))))) % 1.11/1.33 (assume @p758 (forall @t6 (=> @t323 (forall @t27 (and (= @t322 (tptp.join_on_relstr @t328 @t11)) (= @t324 (tptp.meet_on_relstr @t328 @t11))))))) % 1.11/1.33 (assume @p759 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.11/1.33 (assume @p760 (forall @t19 (=> @t991 (forall @t140 (=> @t990 (= (tptp.below @t286 @t11 @t69) @t745)))))) % 1.11/1.33 (assume @p761 (forall @t19 (=> @t992 (or @t100 @t22)))) % 1.11/1.33 (assume @p762 (forall @t19 (=> (forall @t140 (= @t180 @t300)) @t189))) % 1.11/1.33 (assume @p763 (forall @t6 (tptp.reflexive @t316))) % 1.11/1.33 (assume @p764 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 1.11/1.33 (assume @p765 (forall @t6 (=> @t149 (forall @t27 (=> (and @t141 (tptp.filtered_subset @t11 @t343) @t954 (tptp.proper_element @t11 @t956) @t957) (forall @t140 (not (and @t300 @t147)))))))) % 1.11/1.33 (assume @p766 (forall @t19 (=> (tptp.element @t11 @t955) (forall @t140 (=> (tptp.element @t69 @t955) (= (tptp.related_reflexive @t343 @t11 @t69) @t745)))))) % 1.11/1.33 (assume @p767 (forall @t19 (=> @t630 (forall @t140 (=> @t405 (= (tptp.latt_element_smaller @t11 @t69 @t1) (tptp.relstr_set_smaller @t1008 @t1 @t1007))))))) % 1.11/1.33 (assume @p768 (forall @t75 (=> @t95 (=> @t995 (and @t987 (tptp.in @t11 @t986)))))) % 1.11/1.33 (assume @p769 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (= @t99 @t616)))))) % 1.11/1.33 (assume @p770 (forall @t6 (=> @t980 (forall @t27 (=> @t159 (forall @t140 (and (=> @t1011 @t1012) (=> @t1012 @t1011)))))))) % 1.11/1.33 (assume @p771 (forall @t6 (=> @t216 (forall @t27 (=> @t246 (forall @t140 (=> @t228 (and (not (tptp.empty_carrier @t260)) (tptp.directed_relstr @t260))))))))) % 1.11/1.33 (assume @p772 (forall @t19 (=> @t630 (forall @t140 (=> @t1010 (= (tptp.relstr_set_smaller @t1008 @t1 @t69) (tptp.latt_element_smaller @t11 @t1009 @t1))))))) % 1.11/1.33 (assume @p773 (forall @t6 (=> (forall @t27 (=> @t20 (and @t61 @t187))) @t64))) % 1.11/1.33 (assume @p774 (forall @t19 (=> @t186 (=> @t1013 (tptp.well_founded_relation @t984))))) % 1.11/1.33 (assume @p775 (forall @t6 (=> @t268 (forall @t27 (=> @t246 (forall @t140 (=> @t158 (= @t429 (forall @t193 (=> (tptp.netstr_induced_subset @t178 @t1 @t11) (tptp.in @t69 (tptp.topstr_closure @t1 @t178)))))))))))) % 1.11/1.33 (assume @p776 (forall @t6 (=> @t216 (forall @t27 (=> @t246 (forall @t140 (=> @t228 (tptp.subnet @t260 @t1 @t11)))))))) % 1.11/1.33 (assume @p777 (forall @t6 (=> @t329 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t69) @t416) @t681)))))))) % 1.11/1.33 (assume @p778 (forall @t19 (=> @t61 (not (and @t188 @t305 (forall @t140 (=> @t716 (not (and @t180 (forall @t193 (=> @t724 (=> @t304 (tptp.ordinal_subset @t69 @t178))))))))))))) % 1.11/1.33 (assume @p779 (forall @t19 (=> @t186 (=> @t658 @t1004)))) % 1.11/1.33 (assume @p780 (forall @t6 (=> @t216 (forall @t27 (=> @t246 (forall @t183 (=> (tptp.subnet @t178 @t1 @t11) (=> @t261 (tptp.is_eventually_in @t1 @t178 @t69))))))))) % 1.11/1.33 (assume @p781 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (= @t22 (tptp.ordinal_subset @t294 @t11))))))) % 1.11/1.33 (assume @p782 (forall @t75 (=> @t188 (tptp.subset (tptp.set_difference @t1 @t69) @t679)))) % 1.11/1.33 (assume @p783 (forall @t274 (=> (= @t391 @t181) @t650))) % 1.11/1.33 (assume @p784 (forall @t19 (=> @t620 (= @t185 (and @t944 (forall @t140 (=> @t180 (= @t943 @t69)))))))) % 1.11/1.33 (assume @p785 (forall @t6 (=> @t323 (forall @t27 (=> @t159 (forall @t140 (= (= @t11 (tptp.meet_of_latt_set @t1 @t69)) (and @t264 (forall @t193 (=> @t192 (=> (tptp.latt_set_smaller @t1 @t178 @t69) (tptp.below_refl @t1 @t178 @t11)))))))))))) % 1.11/1.33 (assume @p786 (forall @t19 (=> @t20 (= (tptp.apply @t184 @t11) @t11)))) % 1.11/1.33 (assume @p787 (forall @t19 (tptp.subset @t376 @t1))) % 1.11/1.33 (assume @p788 (forall @t6 (=> @t93 (and (= @t387 (tptp.relation_dom @t401)) (= @t219 (tptp.relation_rng @t401)))))) % 1.11/1.33 (assume @p789 (forall @t75 (= (tptp.subset @t161 @t69) (and @t664 @t356)))) % 1.11/1.33 (assume @p790 (forall @t19 (=> @t186 (=> (and @t658 (tptp.subset @t1 @t315)) @t1005)))) % 1.11/1.33 (assume @p791 (forall @t19 (= @t1014 @t163))) % 1.11/1.33 (assume @p792 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.11/1.33 (assume @p793 (forall @t6 (and @t544 (= (tptp.bottom_of_semilattstr @t286) tptp.empty_set)))) % 1.11/1.33 (assume @p794 (forall @t75 (not (and @t22 @t356 @t180)))) % 1.11/1.33 (assume @p795 (forall @t19 (= @t666 @t188))) % 1.11/1.33 (assume @p796 (forall @t6 (tptp.transitive @t316))) % 1.11/1.33 (assume @p797 (forall @t19 (and (not (and @t1016 (forall @t140 (not @t1015)))) (not (and (exists @t140 @t1015) @t410))))) % 1.11/1.33 (assume @p798 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t281))) % 1.11/1.33 (assume @p799 (forall @t6 (=> @t268 (forall @t27 (=> @t159 (forall @t140 (= (tptp.in @t69 @t317) @t271))))))) % 1.11/1.33 (assume @p800 (forall @t19 (= (tptp.set_difference @t163 @t11) @t376))) % 1.11/1.33 (assume @p801 (forall @t6 (=> @t64 (= @t389 (forall @t27 (=> @t61 (=> @t20 (tptp.in @t903 @t1)))))))) % 1.11/1.33 (assume @p802 (forall @t6 (=> @t268 (forall @t27 (=> @t246 (forall @t140 (=> @t239 (tptp.subset @t267 (tptp.lim_points_of_net @t1 @t69))))))))) % 1.11/1.33 (assume @p803 (forall @t6 (=> @t64 (and (not (and (not @t389) (forall @t27 (=> @t61 (not @t1017))))) (not (and (exists @t27 (and @t61 @t1017)) @t389)))))) % 1.11/1.33 (assume @p804 (forall @t6 (=> @t1018 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 1.11/1.33 (assume @p805 (forall @t19 (=> @t57 (forall @t140 (=> @t173 (= @t1020 (tptp.subset @t11 @t1019))))))) % 1.11/1.33 (assume @p806 (forall @t6 (=> @t105 (forall @t27 (=> @t299 (=> @t335 (tptp.closed_subset @t962 @t1))))))) % 1.11/1.33 (assume @p807 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (tptp.subset @t1021 @t219)))))) % 1.11/1.33 (assume @p808 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (tptp.subset @t308 @t11)))))) % 1.11/1.33 (assume @p809 (forall @t6 (=> @t1018 (forall @t27 (=> @t159 (tptp.related @t1 @t217 @t11)))))) % 1.11/1.33 (assume @p810 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (forall @t140 (=> (tptp.in @t69 @t3) (= @t1003 (forall @t193 (=> @t392 (=> @t1022 @t303))))))))))) % 1.11/1.33 (assume @p811 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (tptp.subset @t981 @t276)))))) % 1.11/1.33 (assume @p812 (forall @t19 (=> @t188 (= @t11 @t1014)))) % 1.11/1.33 (assume @p813 (forall @t274 (=> @t1001 (=> @t326 (forall @t210 (= (tptp.in @t200 (tptp.relation_inverse_image @t178 @t69)) (and @t224 (tptp.in (tptp.apply @t178 @t200) @t69)))))))) % 1.11/1.33 (assume @p814 (forall @t6 (=> @t105 (forall @t27 (=> @t102 (exists @t140 (and @t349 (forall @t193 (=> @t392 (= @t220 @t1022))) (= @t255 (tptp.meet_of_subsets @t3 @t69))))))))) % 1.11/1.33 (assume @p815 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (=> (tptp.subset @t387 @t275) (= @t1021 @t219))))))) % 1.11/1.33 (assume @p816 (forall @t19 (=> @t421 @t951))) % 1.11/1.33 (assume @p817 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (=> (tptp.subset @t219 @t276) (= (tptp.relation_rng @t528) @t387))))))) % 1.11/1.33 (assume @p818 (forall @t19 (=> @t421 (=> @t326 (= (tptp.subset_difference @t1 @t370 @t496) @t953))))) % 1.11/1.33 (assume @p819 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (tptp.subset @t11 @t255)))))) % 1.11/1.33 (assume @p820 (forall @t19 (=> @t421 (=> @t326 (= @t958 (tptp.subset_difference @t1 @t370 @t500)))))) % 1.11/1.33 (assume @p821 (forall @t19 (= (tptp.set_difference @t1 @t376) @t168))) % 1.11/1.33 (assume @p822 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (forall @t140 (=> @t409 (=> @t408 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t69)))))))))) % 1.11/1.33 (assume @p823 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.11/1.33 (assume @p824 (forall @t75 (=> (and @t22 @t1023) (tptp.element @t1 @t69)))) % 1.11/1.33 (assume @p825 (forall @t6 (= @t955 @t56))) % 1.11/1.33 (assume @p826 (forall @t6 (=> @t64 (tptp.connected @t316)))) % 1.11/1.33 (assume @p827 (forall @t19 (and (not (and @t1016 (forall @t140 (not @t1024)))) (not (and (exists @t140 @t1024) @t410))))) % 1.11/1.33 (assume @p828 (forall @t6 (=> @t268 (forall @t27 (=> @t159 (forall @t140 (=> (and (tptp.upper_relstr_subset @t69 @t465) (tptp.element @t69 @t466)) (= (tptp.is_a_convergence_point_of_set @t1 @t69 @t11) (tptp.subset @t317 @t69))))))))) % 1.11/1.33 (assume @p829 (forall @t6 (= @t343 (tptp.incl_POSet @t56)))) % 1.11/1.33 (assume @p830 (forall @t6 (=> @t323 (and @t33 @t79 @t78 @t10 (= @t266 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 1.11/1.33 (assume @p831 (forall @t6 (=> @t305 (forall @t27 (=> @t57 (forall @t140 (=> @t454 (=> @t354 (tptp.in @t69 @t390))))))))) % 1.11/1.33 (assume @p832 (forall @t6 (=> @t105 (forall @t27 (=> @t102 @t629))))) % 1.11/1.33 (assume @p833 (forall @t6 (=> @t103 (forall @t27 (=> @t102 (and (=> @t98 @t1025) (=> (and @t104 @t1025) @t98))))))) % 1.11/1.33 (assume @p834 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (forall @t140 (=> @t409 (=> @t408 (and (=> @t92 @t135) (=> @t94 @t609) (=> @t263 @t1002) (=> @t227 @t610) (=> @t337 @t1013)))))))))) % 1.11/1.33 (assume @p835 (forall @t6 (=> @t223 (=> @t115 (forall @t27 (=> @t620 (= (= @t11 @t426) (and (= @t275 @t387) (forall @t183 (and (=> @t1026 @t386) (=> @t386 @t1026))))))))))) % 1.11/1.33 (assume @p836 (forall @t75 (=> @t173 (not (and (tptp.in @t11 @t1019) @t356))))) % 1.11/1.33 (assume @p837 (forall @t6 (=> @t93 (forall @t27 (=> @t186 (forall @t140 (=> @t409 (=> (and @t371 @t408) @t658)))))))) % 1.11/1.33 (assume @p838 (forall @t6 (=> @t223 (=> @t115 (and (= @t387 (tptp.relation_dom @t426)) (= @t219 (tptp.relation_rng @t426))))))) % 1.11/1.33 (assume @p839 (forall @t6 (=> @t105 (forall @t27 (=> @t632 (forall @t140 (=> @t256 (forall @t193 (=> @t635 (and (=> (tptp.open_subset @t178 @t11) (= (tptp.interior @t11 @t178) @t178)) (=> (= @t270 @t69) @t309))))))))))) % 1.11/1.33 (assume @p840 (forall @t6 (=> @t93 (=> (forall @t198 @t661) @t281)))) % 1.11/1.33 (assume @p841 (forall @t19 (=> @t620 (=> (and @t133 (tptp.in @t1 @t276)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t1027 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t1027 @t11) @t1))))))) % 1.11/1.33 (assume @p842 (forall @t6 (=> @t268 (forall @t27 (=> @t102 (forall @t140 (=> @t158 (=> (and @t99 @t300) (tptp.point_neighbourhood @t11 @t1 @t69))))))))) % 1.11/1.33 (assume @p843 (forall @t75 (not (and @t22 @t1023 @t147)))) % 1.11/1.33 (assume @p844 (forall @t19 (=> @t57 (= @t673 (not (= @t11 @t1)))))) % 1.11/1.33 (assume @p845 (forall @t6 (=> @t216 (forall @t27 (=> @t299 (not (and @t350 @t282))))))) % 1.11/1.33 (assume @p846 (forall @t6 (=> @t93 (= @t337 (tptp.is_well_founded_in @t1 @t226))))) % 1.11/1.33 (assume @p847 (forall @t6 (tptp.antisymmetric @t316))) % 1.11/1.33 (assume @p848 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.11/1.33 (assume @p849 (forall @t19 (not (and @t188 @t23)))) % 1.11/1.33 (assume @p850 (forall @t6 (=> @t5 (forall @t27 (=> @t154 (forall @t140 (=> @t158 (forall @t193 (=> @t192 (forall @t210 (=> @t209 (forall @t236 (=> @t403 (=> (and @t272 @t785 @t1028) @t320)))))))))))))) % 1.11/1.33 (assume @p851 (forall @t6 (=> @t5 (forall @t27 (=> (and @t152 @t154) (forall @t140 (=> @t158 (forall @t193 (=> @t192 (forall @t210 (=> @t209 (forall @t236 (=> @t403 (=> (and @t272 @t785 @t320 (tptp.in @t200 @t14) @t912) @t1028)))))))))))))) % 1.11/1.33 (assume @p852 (forall @t6 (=> @t223 (=> @t115 (tptp.one_to_one @t426))))) % 1.11/1.33 (assume @p853 (forall @t75 (=> (and @t188 @t1020) (tptp.disjoint @t1 @t69)))) % 1.11/1.33 (assume @p854 (forall @t6 (=> @t93 (=> (or @t1030 @t1029) @t281)))) % 1.11/1.33 (assume @p855 (forall @t6 (=> @t93 (= @t1030 @t1029)))) % 1.11/1.33 (assume @p856 (forall @t19 (= (= (tptp.set_difference @t1 @t662) @t1) @t21))) % 1.11/1.33 (assume @p857 (forall @t19 (=> @t620 (forall @t140 (=> @t409 (= (= @t11 @t667) (and (= @t275 (tptp.set_intersection2 @t373 @t1)) (forall @t193 (=> (tptp.in @t178 @t275) (= (tptp.apply @t11 @t178) @t407)))))))))) % 1.11/1.33 (assume @p858 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t293))) % 1.11/1.33 (assume @p859 (forall @t6 (=> @t54 @t281))) % 1.11/1.33 (assume @p860 (forall @t274 (=> @t1001 (=> @t180 (or @t282 (tptp.in @t1000 @t971)))))) % 1.11/1.33 (assume @p861 (forall @t6 (=> @t64 (tptp.well_founded_relation @t316)))) % 1.11/1.33 (assume @p862 (forall @t6 (=> @t5 (forall @t27 (=> @t159 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 1.11/1.33 (assume @p863 (forall @t6 (=> @t268 (forall @t27 (=> @t102 (forall @t140 (=> @t158 (= @t1003 (forall @t193 (=> @t428 (not (tptp.disjoint @t178 @t11)))))))))))) % 1.11/1.33 (assume @p864 (forall @t19 (=> (tptp.subset @t293 @t662) @t189))) % 1.11/1.33 (assume @p865 (forall @t75 (=> @t409 (=> @t668 @t1031)))) % 1.11/1.33 (assume @p866 (forall @t6 (and (= (tptp.relation_dom @t184) @t1) (= (tptp.relation_rng @t184) @t1)))) % 1.11/1.33 (assume @p867 (forall @t75 (=> @t409 (=> @t20 @t1031)))) % 1.11/1.33 (assume @p868 (forall @t274 (=> @t749 (= (tptp.in @t391 (tptp.relation_composition (tptp.identity_relation @t69) @t178)) (and @t664 (tptp.in @t391 @t178)))))) % 1.11/1.33 (assume @p869 (forall @t19 (not (and @t22 @t100)))) % 1.11/1.33 (assume @p870 (forall @t6 (=> @t329 (forall @t27 (=> @t159 (forall @t140 (=> @t158 (= @t681 (tptp.related_reflexive @t328 @t352 (tptp.cast_to_el_of_LattPOSet @t1 @t69)))))))))) % 1.11/1.33 (assume @p871 (forall @t19 (and (= (tptp.pair_first @t391) @t1) (= (tptp.pair_second @t391) @t11)))) % 1.11/1.33 (assume @p872 (forall @t19 (not (and @t22 (forall @t140 (not (and @t300 (forall @t193 (not (and @t203 @t220)))))))))) % 1.11/1.33 (assume @p873 (forall @t6 (=> @t64 (tptp.well_ordering @t316)))) % 1.11/1.33 (assume @p874 (forall @t19 (tptp.subset @t1 @t163))) % 1.11/1.33 (assume @p875 (forall @t19 (= @t410 (= @t376 @t1)))) % 1.11/1.33 (assume @p876 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_dom @t964)) (and @t22 @t994))))) % 1.11/1.33 (assume @p877 (forall @t19 (=> @t186 (tptp.subset @t985 @t11)))) % 1.11/1.33 (assume @p878 (forall @t19 (not (and @t54 @t423 @t100)))) % 1.11/1.33 (assume @p879 (forall @t75 (=> @t409 (= @t995 (and @t994 (= @t11 @t997)))))) % 1.11/1.33 (assume @p880 (forall @t6 (=> @t216 (forall @t27 (=> @t215 (forall @t183 (=> @t314 (and (=> @t212 (tptp.is_eventually_in @t1 @t11 @t178)) (=> @t228 @t427))))))))) % 1.11/1.33 (assume @p881 (forall @t6 (=> (and @t33 @t31 @t41 @t40 @t46 @t5) (forall @t27 (=> (and @t141 @t106 @t321 @t102) (= @t674 (not (tptp.in @t217 @t11)))))))) % 1.11/1.33 (assume @p882 (forall @t6 (=> @t93 (= (tptp.well_orders @t1 @t226) @t371)))) % 1.11/1.33 (assume @p883 (forall @t75 (=> (and @t188 @t348) (tptp.subset (tptp.set_union2 @t1 @t69) @t11)))) % 1.11/1.33 (assume @p884 (forall @t75 (=> @t1032 @t189))) % 1.11/1.33 (assume @p885 (forall @t19 (=> @t186 (= (tptp.relation_dom @t985) @t968)))) % 1.11/1.33 (assume @p886 (forall @t6 (=> @t216 (forall @t27 (=> @t159 (= (tptp.apply_as_element @t3 @t3 @t199 @t11) @t11)))))) % 1.11/1.33 (assume @p887 (forall @t19 (=> @t186 (= @t985 (tptp.relation_composition @t184 @t11))))) % 1.11/1.33 (assume @p888 (forall @t19 (=> @t186 (tptp.subset (tptp.relation_rng @t985) @t276)))) % 1.11/1.33 (assume @p889 (forall @t6 (= (tptp.union @t56) @t1))) % 1.11/1.33 (assume @p890 (forall @t274 (=> @t1001 (=> @t745 (or (and @t282 @t305) (and @t238 (tptp.quasi_total @t178 @t1 @t69) (tptp.relation_of2_as_subset @t178 @t1 @t69))))))) % 1.11/1.33 (assume @p891 (forall @t6 (exists @t27 (and @t22 @t961 (forall @t140 (not (and @t300 (forall @t193 (not (and @t203 (forall @t210 (=> (tptp.subset @t200 @t69) @t273)))))))) @t960)))) % 1.11/1.33 (assume @p892 (forall @t6 (=> @t216 (forall @t27 (=> @t246 (forall @t140 (=> @t339 @t212))))))) % 1.11/1.33 (assume @p893 (forall @t75 (=> @t1032 @t290))) % 1.11/1.33 (step @p894 :rule quant-merge-prenex :args ((= (forall @t75 @t1058) @t1056))) % 1.11/1.33 (step @p895 :rule alpha_equiv :args (@t1059 (@list @t1033) @t1060)) % 1.11/1.33 (step @p896 :rule refl :args (@t1050)) % 1.11/1.33 (step @p897 :rule refl :args (@t1051)) % 1.11/1.33 (step @p898 :rule refl :args (@t1052)) % 1.11/1.33 (step @p899 :rule refl :args (@t213)) % 1.11/1.33 (step @p900 :rule refl :args (@t1053)) % 1.11/1.33 (step @p901 :rule refl :args (@t1054)) % 1.11/1.33 (step @p902 :rule refl :args (@t32)) % 1.11/1.33 (step @p903 :rule nary_cong :premises (@p902 @p901 @p900 @p899 @p898 @p897 @p896 @p895) :args (@t1061)) % 1.11/1.33 (step @p904 :rule quant-miniscope-or :args ((= @t1058 @t1061))) % 1.11/1.33 (step @p905 :rule trans :premises (@p904 @p903)) % 1.11/1.33 (step @p906 :rule symm :premises (@p905)) % 1.11/1.33 (step @p907 :rule cong :premises (@p906) :args ((forall @t75 @t1065))) % 1.11/1.33 (step @p908 :rule trans :premises (@p907 @p894)) % 1.11/1.33 (step @p909 :rule aci_norm :args ((= (or @t1066 @t1064) @t1065))) % 1.11/1.33 (step @p910 :rule refl :args (@t1064)) % 1.11/1.33 (step @p911 :rule bool-double-not-elim :args (@t213)) % 1.11/1.33 (step @p912 :rule bool-double-not-elim :args (@t32)) % 1.11/1.33 (step @p913 :rule nary_cong :premises (@p912 @p901 @p900 @p911 @p898 @p897 @p896) :args (@t1069)) % 1.11/1.33 (step @p914 :rule aci_norm :args ((= (or @t1068 (or @t1054 (or @t1053 (or @t1067 (or @t1052 (or @t1051 @t1050)))))) @t1069))) % 1.11/1.33 (step @p915 :rule trans :premises (@p914 @p913)) % 1.11/1.33 (step @p916 :rule bool-and-de-morgan :args (@t245 @t16 true)) % 1.11/1.33 (step @p917 :rule nary_cong :premises (@p898 @p916) :args ((or @t1052 (not (and @t245 @t16))))) % 1.11/1.33 (step @p918 :rule bool-and-de-morgan :args (@t153 @t245 (and @t16))) % 1.11/1.33 (step @p919 :rule trans :premises (@p918 @p917)) % 1.11/1.33 (step @p920 :rule refl :args (@t1067)) % 1.11/1.33 (step @p921 :rule nary_cong :premises (@p920 @p919) :args ((or @t1067 (not (and @t153 @t245 @t16))))) % 1.11/1.33 (step @p922 :rule bool-and-de-morgan :args (@t214 @t153 (and @t245 @t16))) % 1.11/1.33 (step @p923 :rule trans :premises (@p922 @p921)) % 1.11/1.33 (step @p924 :rule nary_cong :premises (@p900 @p923) :args ((or @t1053 (not @t246)))) % 1.11/1.33 (step @p925 :rule bool-and-de-morgan :args (@t103 @t214 (and @t153 @t245 @t16))) % 1.11/1.33 (step @p926 :rule trans :premises (@p925 @p924)) % 1.11/1.33 (step @p927 :rule nary_cong :premises (@p901 @p926) :args ((or @t1054 (not (and @t103 @t214 @t153 @t245 @t16))))) % 1.11/1.33 (step @p928 :rule bool-and-de-morgan :args (@t104 @t103 (and @t214 @t153 @t245 @t16))) % 1.11/1.33 (step @p929 :rule trans :premises (@p928 @p927)) % 1.11/1.33 (step @p930 :rule refl :args (@t1068)) % 1.11/1.33 (step @p931 :rule nary_cong :premises (@p930 @p929) :args ((or @t1068 (not (and @t104 @t103 @t214 @t153 @t245 @t16))))) % 1.11/1.33 (step @p932 :rule bool-and-de-morgan :args (@t33 @t104 (and @t103 @t214 @t153 @t245 @t16))) % 1.11/1.33 (step @p933 :rule trans :premises (@p932 @p931)) % 1.11/1.33 (step @p934 :rule trans :premises (@p933 @p915)) % 1.11/1.33 (step @p935 :rule nary_cong :premises (@p934 @p910) :args ((or @t1070 @t1064))) % 1.11/1.33 (step @p936 :rule trans :premises (@p935 @p909)) % 1.11/1.33 (step @p937 :rule bool-impl-elim :args (@t452 @t1064)) % 1.11/1.33 (step @p938 :rule trans :premises (@p937 @p936)) % 1.11/1.33 (step @p939 :rule cong :premises (@p938) :args ((forall @t75 (=> @t452 @t1064)))) % 1.11/1.33 (step @p940 :rule trans :premises (@p939 @p908)) % 1.11/1.33 (step @p941 :rule bool-impl-true2 :args (@t1063)) % 1.11/1.33 (step @p942 :rule exists-elim :args ((= (exists @t210 @t1062) @t1063))) % 1.11/1.33 (step @p943 :rule bool-double-not-elim :args (@t933)) % 1.11/1.33 (step @p944 :rule refl :args (@t1048)) % 1.11/1.33 (step @p945 :rule nary_cong :premises (@p944 @p943) :args ((and @t1048 (not @t1071)))) % 1.11/1.33 (step @p946 :rule bool-or-de-morgan :args (@t1047 @t1071 false)) % 1.11/1.33 (step @p947 :rule trans :premises (@p946 @p945)) % 1.11/1.33 (step @p948 :rule refl :args (@t743)) % 1.11/1.33 (step @p949 :rule cong :premises (@p948 @p947) :args (@t1072)) % 1.11/1.33 (step @p950 :rule cong :premises (@p949) :args ((forall @t236 @t1072))) % 1.11/1.33 (step @p951 :rule aci_norm :args ((= (or @t1071 false) @t1071))) % 1.11/1.33 (step @p952 :rule evaluate :args ((not true))) % 1.11/1.33 (step @p953 :rule eq-refl :args (@t231)) % 1.11/1.33 (step @p954 :rule cong :premises (@p953) :args (@t1073)) % 1.11/1.33 (step @p955 :rule trans :premises (@p954 @p952)) % 1.11/1.33 (step @p956 :rule refl :args (@t1071)) % 1.11/1.33 (step @p957 :rule nary_cong :premises (@p956 @p955) :args (@t1074)) % 1.11/1.33 (step @p958 :rule trans :premises (@p957 @p951)) % 1.11/1.33 (step @p959 :rule quant-var-elim-eq :args ((= (forall @t234 (or (not @t742) @t1076 @t1075)) @t1074))) % 1.11/1.33 (step @p960 :rule refl :args (@t1075)) % 1.11/1.33 (step @p961 :rule refl :args (@t1076)) % 1.11/1.33 (step @p962 :rule eq-symm :args (@t231 @t229)) % 1.11/1.33 (step @p963 :rule cong :premises (@p962) :args (@t1075)) % 1.11/1.33 (step @p964 :rule nary_cong :premises (@p963 @p961 @p960) :args (@t1077)) % 1.11/1.33 (step @p965 :rule aci_norm :args ((= @t1078 @t1077))) % 1.11/1.33 (step @p966 :rule trans :premises (@p965 @p964)) % 1.11/1.33 (step @p967 :rule cong :premises (@p966) :args (@t1079)) % 1.11/1.33 (step @p968 :rule trans :premises (@p967 @p959)) % 1.11/1.33 (step @p969 :rule trans :premises (@p968 @p958)) % 1.11/1.33 (step @p970 :rule refl :args (@t1047)) % 1.11/1.33 (step @p971 :rule nary_cong :premises (@p970 @p969) :args (@t1080)) % 1.11/1.33 (step @p972 :rule quant-miniscope-or :args ((= (forall @t234 @t1081) @t1080))) % 1.11/1.33 (step @p973 :rule aci_norm :args ((= @t1082 @t1081))) % 1.11/1.33 (step @p974 :rule cong :premises (@p973) :args ((forall @t234 @t1082))) % 1.11/1.33 (step @p975 :rule trans :premises (@p974 @p972)) % 1.11/1.33 (step @p976 :rule trans :premises (@p975 @p971)) % 1.11/1.33 (step @p977 :rule bool-double-not-elim :args (@t1047)) % 1.11/1.33 (step @p978 :rule nary_cong :premises (@p961 @p960 @p977) :args (@t1084)) % 1.11/1.33 (step @p979 :rule aci_norm :args ((= (or @t1076 (or @t1075 @t1083)) @t1084))) % 1.11/1.33 (step @p980 :rule trans :premises (@p979 @p978)) % 1.11/1.33 (step @p981 :rule bool-and-de-morgan :args (@t813 @t1048 true)) % 1.11/1.33 (step @p982 :rule nary_cong :premises (@p961 @p981) :args ((or @t1076 (not (and @t813 @t1048))))) % 1.11/1.33 (step @p983 :rule bool-and-de-morgan :args (@t852 @t813 (and @t1048))) % 1.11/1.33 (step @p984 :rule trans :premises (@p983 @p982)) % 1.11/1.33 (step @p985 :rule trans :premises (@p984 @p980)) % 1.11/1.33 (step @p986 :rule cong :premises (@p985) :args (@t1086)) % 1.11/1.33 (step @p987 :rule trans :premises (@p986 @p976)) % 1.11/1.33 (step @p988 :rule cong :premises (@p987) :args (@t1087)) % 1.11/1.33 (step @p989 :rule exists-elim :args ((= (exists @t234 @t1085) @t1087))) % 1.11/1.33 (step @p990 :rule trans :premises (@p989 @p988)) % 1.11/1.33 (step @p991 :rule aci_norm :args ((= (or @t1045 (or @t1043 @t1042)) @t1046))) % 1.11/1.33 (step @p992 :rule bool-and-de-morgan :args (@t847 @t1041 true)) % 1.11/1.33 (step @p993 :rule refl :args (@t1045)) % 1.11/1.33 (step @p994 :rule nary_cong :premises (@p993 @p992) :args ((or @t1045 (not (and @t847 @t1041))))) % 1.11/1.33 (step @p995 :rule bool-and-de-morgan :args (@t1044 @t847 (and @t1041))) % 1.11/1.33 (step @p996 :rule trans :premises (@p995 @p994)) % 1.11/1.33 (step @p997 :rule trans :premises (@p996 @p991)) % 1.11/1.33 (step @p998 :rule cong :premises (@p997) :args (@t1089)) % 1.11/1.33 (step @p999 :rule cong :premises (@p998) :args (@t1090)) % 1.11/1.33 (step @p1000 :rule exists-elim :args ((= (exists @t850 @t1088) @t1090))) % 1.11/1.33 (step @p1001 :rule trans :premises (@p1000 @p999)) % 1.11/1.33 (step @p1002 :rule bool-double-not-elim :args (@t1041)) % 1.11/1.33 (step @p1003 :rule aci_norm :args ((= (or false @t1042) @t1042))) % 1.11/1.33 (step @p1004 :rule eq-symm :args (@t1034 @t1040)) % 1.11/1.33 (step @p1005 :rule cong :premises (@p1004) :args (@t1091)) % 1.11/1.33 (step @p1006 :rule cong :premises (@p1005) :args (@t1092)) % 1.11/1.33 (step @p1007 :rule eq-refl :args (@t842)) % 1.11/1.33 (step @p1008 :rule cong :premises (@p1007) :args (@t1093)) % 1.11/1.33 (step @p1009 :rule trans :premises (@p1008 @p952)) % 1.11/1.33 (step @p1010 :rule nary_cong :premises (@p1009 @p1006) :args (@t1094)) % 1.11/1.33 (step @p1011 :rule trans :premises (@p1010 @p1003)) % 1.11/1.33 (step @p1012 :rule quant-var-elim-eq :args ((= (forall @t845 (or (not (= @t837 @t842)) @t1097 @t1096)) @t1094))) % 1.11/1.33 (step @p1013 :rule refl :args (@t1096)) % 1.11/1.33 (step @p1014 :rule refl :args (@t1097)) % 1.11/1.33 (step @p1015 :rule eq-symm :args (@t842 @t837)) % 1.11/1.33 (step @p1016 :rule cong :premises (@p1015) :args (@t1097)) % 1.11/1.33 (step @p1017 :rule nary_cong :premises (@p1016 @p1014 @p1013) :args (@t1098)) % 1.11/1.33 (step @p1018 :rule aci_norm :args ((= @t1099 @t1098))) % 1.11/1.33 (step @p1019 :rule trans :premises (@p1018 @p1017)) % 1.11/1.33 (step @p1020 :rule cong :premises (@p1019) :args ((forall @t845 @t1099))) % 1.11/1.33 (step @p1021 :rule trans :premises (@p1020 @p1012)) % 1.11/1.33 (step @p1022 :rule trans :premises (@p1021 @p1011)) % 1.11/1.33 (step @p1023 :rule bool-and-de-morgan :args (@t843 @t1095 true)) % 1.11/1.33 (step @p1024 :rule cong :premises (@p1023) :args (@t1101)) % 1.11/1.33 (step @p1025 :rule trans :premises (@p1024 @p1022)) % 1.11/1.33 (step @p1026 :rule cong :premises (@p1025) :args (@t1102)) % 1.11/1.33 (step @p1027 :rule trans :premises (@p1026 @p1002)) % 1.11/1.33 (step @p1028 :rule exists-elim :args ((= (exists @t845 @t1100) @t1102))) % 1.11/1.33 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 1.11/1.33 (step @p1030 :rule aci_norm :args ((= (and @t835 (and @t1039 @t1038 @t1037)) @t1040))) % 1.11/1.33 (step @p1031 :rule bool-double-not-elim :args (@t1037)) % 1.11/1.33 (step @p1032 :rule bool-double-not-elim :args (@t1038)) % 1.11/1.33 (step @p1033 :rule bool-double-not-elim :args (@t1039)) % 1.11/1.33 (step @p1034 :rule nary_cong 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aci_norm :args ((= (or @t1285 @t1283 false) @t1290))) % 1.11/1.33 (step @p1452 :rule eq-refl :args (@t815)) % 1.11/1.33 (step @p1453 :rule cong :premises (@p1452) :args (@t1294)) % 1.11/1.33 (step @p1454 :rule trans :premises (@p1453 @p952)) % 1.11/1.33 (step @p1455 :rule refl :args (@t1283)) % 1.11/1.33 (step @p1456 :rule refl :args (@t1285)) % 1.11/1.33 (step @p1457 :rule nary_cong :premises (@p1456 @p1455 @p1454) :args (@t1295)) % 1.11/1.33 (step @p1458 :rule trans :premises (@p1457 @p1451)) % 1.11/1.33 (step @p1459 :rule quant-var-elim-eq :args ((= (forall @t738 @t1299) @t1295))) % 1.11/1.33 (step @p1460 :rule aci_norm :args ((= @t1300 @t1299))) % 1.11/1.33 (step @p1461 :rule cong :premises (@p1460) :args (@t1301)) % 1.11/1.33 (step @p1462 :rule trans :premises (@p1461 @p1459)) % 1.11/1.33 (step @p1463 :rule trans :premises (@p1462 @p1458)) % 1.11/1.33 (step @p1464 :rule refl :args (@t1287)) % 1.11/1.33 (step @p1465 :rule nary_cong :premises (@p1464 @p1463) :args (@t1302)) % 1.11/1.33 (step @p1466 :rule trans :premises (@p1465 @p1450)) % 1.11/1.33 (step @p1467 :rule quant-miniscope-or :args ((= (forall @t738 @t1303) @t1302))) % 1.11/1.33 (step @p1468 :rule aci_norm :args ((= @t1304 @t1303))) % 1.11/1.33 (step @p1469 :rule cong :premises (@p1468) :args ((forall @t738 @t1304))) % 1.11/1.33 (step @p1470 :rule trans :premises (@p1469 @p1467)) % 1.11/1.33 (step @p1471 :rule trans :premises (@p1470 @p1466)) % 1.11/1.33 (step @p1472 :rule aci_norm :args ((= (or @t1298 @t1305) @t1304))) % 1.11/1.33 (step @p1473 :rule bool-double-not-elim :args (@t1305)) % 1.11/1.33 (step @p1474 :rule refl :args (@t1298)) % 1.11/1.33 (step @p1475 :rule nary_cong :premises (@p1474 @p1473) :args ((or @t1298 (not @t1306)))) % 1.11/1.33 (step @p1476 :rule bool-and-de-morgan :args (@t812 @t1306 true)) % 1.11/1.33 (step @p1477 :rule trans :premises (@p1476 @p1475)) % 1.11/1.33 (step @p1478 :rule trans :premises (@p1477 @p1472)) % 1.11/1.33 (step @p1479 :rule cong :premises (@p1478) :args (@t1308)) % 1.11/1.33 (step @p1480 :rule trans :premises (@p1479 @p1471)) % 1.11/1.33 (step @p1481 :rule cong :premises (@p1480) :args (@t1309)) % 1.11/1.33 (step @p1482 :rule exists-elim :args ((= (exists @t738 @t1307) @t1309))) % 1.11/1.33 (step @p1483 :rule trans :premises (@p1482 @p1481)) % 1.11/1.33 (step @p1484 :rule aci_norm :args ((= (or @t1297 @t1310) @t1305))) % 1.11/1.33 (step @p1485 :rule aci_norm :args ((= (or @t1287 false @t1296) @t1310))) % 1.11/1.33 (step @p1486 :rule refl :args (@t1296)) % 1.11/1.33 (step @p1487 :rule eq-refl :args (@t684)) % 1.11/1.33 (step @p1488 :rule cong :premises (@p1487) :args (@t1311)) % 1.11/1.33 (step @p1489 :rule trans :premises (@p1488 @p952)) % 1.11/1.33 (step @p1490 :rule nary_cong :premises (@p1464 @p1489 @p1486) :args (@t1312)) % 1.11/1.33 (step @p1491 :rule trans :premises (@p1490 @p1485)) % 1.11/1.33 (step @p1492 :rule quant-var-elim-eq :args ((= (forall @t737 (or (not (= @t732 @t684)) @t1315 @t1314 @t1313)) @t1312))) % 1.11/1.33 (step @p1493 :rule refl :args (@t1313)) % 1.11/1.33 (step @p1494 :rule refl :args (@t1314)) % 1.11/1.33 (step @p1495 :rule refl :args (@t1315)) % 1.11/1.33 (step @p1496 :rule eq-symm :args (@t684 @t732)) % 1.11/1.33 (step @p1497 :rule cong :premises (@p1496) :args (@t1314)) % 1.11/1.33 (step @p1498 :rule nary_cong :premises (@p1497 @p1495 @p1494 @p1493) :args (@t1316)) % 1.11/1.33 (step @p1499 :rule aci_norm :args ((= @t1317 @t1316))) % 1.11/1.33 (step @p1500 :rule trans :premises (@p1499 @p1498)) % 1.11/1.33 (step @p1501 :rule cong :premises (@p1500) :args (@t1318)) % 1.11/1.33 (step @p1502 :rule trans :premises (@p1501 @p1492)) % 1.11/1.33 (step @p1503 :rule trans :premises (@p1502 @p1491)) % 1.11/1.33 (step @p1504 :rule refl :args (@t1297)) % 1.11/1.33 (step @p1505 :rule nary_cong :premises (@p1504 @p1503) :args (@t1319)) % 1.11/1.33 (step @p1506 :rule trans :premises (@p1505 @p1484)) % 1.11/1.33 (step @p1507 :rule quant-miniscope-or :args ((= (forall @t737 @t1320) @t1319))) % 1.11/1.33 (step @p1508 :rule aci_norm :args ((= @t1321 @t1320))) % 1.11/1.33 (step @p1509 :rule cong :premises (@p1508) :args ((forall @t737 @t1321))) % 1.11/1.33 (step @p1510 :rule trans :premises (@p1509 @p1507)) % 1.11/1.33 (step @p1511 :rule trans :premises (@p1510 @p1506)) % 1.11/1.33 (step @p1512 :rule aci_norm :args ((= (or @t1315 (or @t1297 (or @t1314 @t1313))) @t1321))) % 1.11/1.33 (step @p1513 :rule bool-and-de-morgan :args (@t755 @t809 true)) % 1.11/1.33 (step @p1514 :rule refl :args (@t1297)) % 1.11/1.33 (step @p1515 :rule nary_cong :premises (@p1514 @p1513) :args ((or @t1297 (not (and @t755 @t809))))) % 1.11/1.33 (step @p1516 :rule bool-and-de-morgan :args (@t881 @t755 (and @t809))) % 1.11/1.33 (step @p1517 :rule trans :premises (@p1516 @p1515)) % 1.11/1.33 (step @p1518 :rule nary_cong :premises (@p1495 @p1517) :args ((or @t1315 (not (and @t881 @t755 @t809))))) % 1.11/1.33 (step @p1519 :rule bool-and-de-morgan :args (@t811 @t881 (and @t755 @t809))) % 1.11/1.33 (step @p1520 :rule trans :premises (@p1519 @p1518)) % 1.11/1.33 (step @p1521 :rule trans :premises (@p1520 @p1512)) % 1.11/1.33 (step @p1522 :rule cong :premises (@p1521) :args (@t1322)) % 1.11/1.33 (step @p1523 :rule trans :premises (@p1522 @p1511)) % 1.11/1.33 (step @p1524 :rule cong :premises (@p1523) :args (@t1323)) % 1.11/1.33 (step @p1525 :rule exists-elim :args ((= @t883 @t1323))) % 1.11/1.33 (step @p1526 :rule trans :premises (@p1525 @p1524)) % 1.11/1.33 (step @p1527 :rule refl :args (@t812)) % 1.11/1.33 (step @p1528 :rule nary_cong :premises (@p1527 @p1526) :args (@t884)) % 1.11/1.33 (step @p1529 :rule cong :premises (@p1528) :args (@t885)) % 1.11/1.33 (step @p1530 :rule trans :premises (@p1529 @p1483)) % 1.11/1.33 (step @p1531 :rule nary_cong :premises (@p1195 @p1530) :args (@t887)) % 1.11/1.33 (step @p1532 :rule refl :args (@t686)) % 1.11/1.33 (step @p1533 :rule cong :premises (@p1532 @p1531) :args (@t888)) % 1.11/1.33 (step @p1534 :rule cong :premises (@p1533) :args (@t889)) % 1.11/1.33 (step @p1535 :rule trans :premises (@p1534 @p1449)) % 1.11/1.33 (step @p1536 :rule refl :args (@t890)) % 1.11/1.33 (step @p1537 :rule nary_cong :premises (@p1536 @p1535) :args (@t891)) % 1.11/1.33 (step @p1538 :rule cong :premises (@p1537) :args (@t892)) % 1.11/1.33 (step @p1539 :rule trans :premises (@p1538 @p1430)) % 1.11/1.33 (step @p1540 :rule refl :args (@t893)) % 1.11/1.33 (step @p1541 :rule eq-symm :args (@t775 @t231)) % 1.11/1.33 (step @p1542 :rule nary_cong :premises (@p1541 @p1540 @p1539) :args (@t894)) % 1.11/1.33 (step @p1543 :rule cong :premises (@p1542) :args (@t895)) % 1.11/1.33 (step @p1544 :rule trans :premises (@p1543 @p1404)) % 1.11/1.33 (step @p1545 :rule refl :args (@t754)) % 1.11/1.33 (step @p1546 :rule nary_cong :premises (@p1545 @p1544 @p1393 @p1392) :args (@t896)) % 1.11/1.33 (step @p1547 :rule cong :premises (@p1546 @p1167) :args (@t897)) % 1.11/1.33 (step @p1548 :rule cong :premises (@p1547) :args (@t898)) % 1.11/1.33 (step @p1549 :rule trans :premises (@p1548 @p1241)) % 1.11/1.33 (step @p1550 :rule cong :premises (@p1549 @p1155) :args (@t899)) % 1.11/1.33 (step @p1551 :rule trans :premises (@p1550 @p941)) % 1.11/1.33 (step @p1552 :rule cong :premises (@p1551) :args (@t900)) % 1.11/1.33 (step @p1553 :rule refl :args (@t452)) % 1.11/1.33 (step @p1554 :rule cong :premises (@p1553 @p1552) :args (@t901)) % 1.11/1.33 (step @p1555 :rule cong :premises (@p1554) :args (@t902)) % 1.11/1.33 (step @p1556 :rule trans :premises (@p1555 @p940)) % 1.11/1.33 (step @p1557 :rule eq_resolve :premises (@p628 @p1556)) % 1.11/1.33 (step @p1558 :rule aci_norm :args ((= @t1340 @t1339))) % 1.11/1.33 (step @p1559 :rule cong :premises (@p948 @p1558) :args (@t1341)) % 1.11/1.33 (step @p1560 :rule cong :premises (@p1559) :args (@t1342)) % 1.11/1.33 (step @p1561 :rule cong :premises (@p1560) :args (@t1343)) % 1.11/1.33 (step @p1562 :rule cong :premises (@p1561) :args (@t1344)) % 1.11/1.33 (step @p1563 :rule cong :premises (@p1562) :args (@t1345)) % 1.11/1.33 (step @p1564 :rule nary_cong :premises (@p902 @p901 @p900 @p899 @p898 @p897 @p896 @p1563) :args (@t1346)) % 1.11/1.33 (step @p1565 :rule cong :premises (@p1564) :args (@t1348)) % 1.11/1.33 (step @p1566 :rule true_intro :premises (@p1565)) % 1.11/1.33 (step @p1567 :rule eq-symm :args (@t1351 @t1348)) % 1.11/1.33 (step @p1568 :rule trans :premises (@p1567 @p1566)) % 1.11/1.33 (step @p1569 :rule refl :args (@t1338)) % 1.11/1.33 (step @p1570 :rule eq-symm :args (@t1329 @t740)) % 1.11/1.33 (step @p1571 :rule cong :premises (@p1570) :args (@t1352)) % 1.11/1.33 (step @p1572 :rule cong :premises (@p1571) :args (@t1353)) % 1.11/1.33 (step @p1573 :rule refl :args (@t1332)) % 1.11/1.33 (step @p1574 :rule refl :args (@t1334)) % 1.11/1.33 (step @p1575 :rule nary_cong :premises (@p1574 @p1573 @p1572) :args (@t1354)) % 1.11/1.33 (step @p1576 :rule cong :premises (@p1575) :args (@t1355)) % 1.11/1.33 (step @p1577 :rule cong :premises (@p1576) :args (@t1356)) % 1.11/1.33 (step @p1578 :rule nary_cong :premises (@p1577 @p1569) :args (@t1357)) % 1.11/1.33 (step @p1579 :rule cong :premises (@p1150 @p1578) :args (@t1358)) % 1.11/1.33 (step @p1580 :rule cong :premises (@p1579) :args (@t1359)) % 1.11/1.33 (step @p1581 :rule cong :premises (@p1580) :args (@t1360)) % 1.11/1.33 (step @p1582 :rule cong :premises (@p1581) :args (@t1361)) % 1.11/1.33 (step @p1583 :rule cong :premises (@p1582) :args (@t1362)) % 1.11/1.33 (step @p1584 :rule refl :args (@t1050)) % 1.11/1.33 (step @p1585 :rule refl :args (@t1051)) % 1.11/1.33 (step @p1586 :rule refl :args (@t1052)) % 1.11/1.33 (step @p1587 :rule refl :args (@t213)) % 1.11/1.33 (step @p1588 :rule refl :args (@t1053)) % 1.11/1.33 (step @p1589 :rule refl :args (@t1054)) % 1.11/1.33 (step @p1590 :rule refl :args (@t32)) % 1.11/1.33 (step @p1591 :rule nary_cong :premises (@p1590 @p1589 @p1588 @p1587 @p1586 @p1585 @p1584 @p1583) :args (@t1363)) % 1.11/1.33 (step @p1592 :rule cong :premises (@p1591) :args (@t1364)) % 1.11/1.33 (step @p1593 :rule refl :args (@t1351)) % 1.11/1.33 (step @p1594 :rule cong :premises (@p1593 @p1592) :args ((= @t1351 @t1364))) % 1.11/1.33 (step @p1595 :rule eq-symm :args (@t1364 @t1351)) % 1.11/1.33 (step @p1596 :rule trans :premises (@p1595 @p1594)) % 1.11/1.33 (step @p1597 :rule trans :premises (@p1596 @p1568)) % 1.11/1.33 (step @p1598 :rule true_elim :premises (@p1597)) % 1.11/1.33 (step @p1599 :rule alpha_equiv :args ((forall (@list @t1371 @t1370 @t1366 @t1365) (or (tptp.empty_carrier @t1371) (not (tptp.topological_space @t1371)) (not (tptp.top_str @t1371)) (tptp.empty_carrier @t1370) (not (tptp.transitive_relstr @t1370)) (not (tptp.directed_relstr @t1370)) (not (tptp.net_str @t1370 @t1371)) (not (forall (@list @t1376) (not (forall (@list @t1367) (= (tptp.in @t1367 @t1376) (and (not (forall (@list @t1374 @t1368) (or (not (= @t1367 (tptp.ordered_pair @t1374 @t1368))) (not (tptp.in @t1374 @t1366)) (not (forall (@list @t1369) (= (and (tptp.in @t1369 @t1375) (tptp.element @t1369 @t1375) (tptp.netstr_induced_subset @t1373 @t1371 @t1370) (= @t1374 (tptp.topstr_closure @t1371 @t1373))) (tptp.in @t1369 @t1368))))))) (tptp.in @t1367 (tptp.cartesian_product2 @t1366 @t1365)))))))))) @t1377 (@list @t11 @t1 @t200 @t231 @t229 @t651 @t685 @t69 @t1337))) % 1.11/1.33 (step @p1600 :rule alpha_equiv :args (@t1056 (@list @t11 @t1 @t200 @t231 @t718 @t842 @t824 @t69 @t1033) @t1377)) % 1.11/1.33 (step @p1601 :rule trans :premises (@p1600 @p1599 @p1598)) % 1.11/1.33 (step @p1602 :rule equiv_elim1 :premises (@p1601)) % 1.11/1.33 (step @p1603 :rule reordering :premises (@p1602) :args ((or @t1351 (not @t1056)))) % 1.11/1.33 (step @p1604 :rule chain_m_resolution :premises (@p1603 @p1557) :args (@t1351 @t1378 (@list @t1056))) % 1.11/1.33 (step @p1605 :rule quant-merge-prenex :args ((= (forall @t75 @t1380) @t1351))) % 1.11/1.33 (step @p1606 :rule alpha_equiv :args (@t1381 (@list @t1337) @t1060)) % 1.11/1.33 (step @p1607 :rule nary_cong :premises (@p902 @p901 @p900 @p899 @p898 @p897 @p896 @p1606) :args (@t1382)) % 1.11/1.33 (step @p1608 :rule quant-miniscope-or :args ((= @t1380 @t1382))) % 1.11/1.33 (step @p1609 :rule trans :premises (@p1608 @p1607)) % 1.11/1.33 (step @p1610 :rule symm :premises (@p1609)) % 1.11/1.33 (step @p1611 :rule cong :premises (@p1610) :args ((forall @t75 @t1386))) % 1.11/1.33 (step @p1612 :rule trans :premises (@p1611 @p1605)) % 1.11/1.33 (step @p1613 :rule aci_norm :args ((= (or @t1066 @t1385) @t1386))) % 1.11/1.33 (step @p1614 :rule refl :args (@t1385)) % 1.11/1.33 (step @p1615 :rule nary_cong :premises (@p934 @p1614) :args ((or @t1070 @t1385))) % 1.11/1.33 (step @p1616 :rule trans :premises (@p1615 @p1613)) % 1.11/1.33 (step @p1617 :rule bool-impl-elim :args (@t452 @t1385)) % 1.11/1.33 (step @p1618 :rule trans :premises (@p1617 @p1616)) % 1.11/1.33 (step @p1619 :rule cong :premises (@p1618) :args ((forall @t75 (=> @t452 @t1385)))) % 1.11/1.33 (step @p1620 :rule trans :premises (@p1619 @p1612)) % 1.11/1.33 (step @p1621 :rule exists-elim :args ((= (exists @t210 @t1383) @t1384))) % 1.11/1.33 (step @p1622 :rule aci_norm :args ((= (or @t1334 (or @t1332 @t1331)) @t1335))) % 1.11/1.33 (step @p1623 :rule bool-and-de-morgan :args (@t930 @t1330 true)) % 1.11/1.33 (step @p1624 :rule refl :args (@t1334)) % 1.11/1.33 (step @p1625 :rule nary_cong :premises (@p1624 @p1623) :args ((or @t1334 (not (and @t930 @t1330))))) % 1.11/1.33 (step @p1626 :rule bool-and-de-morgan :args (@t1333 @t930 (and @t1330))) % 1.11/1.33 (step @p1627 :rule trans :premises (@p1626 @p1625)) % 1.11/1.33 (step @p1628 :rule trans :premises (@p1627 @p1622)) % 1.11/1.33 (step @p1629 :rule cong :premises (@p1628) :args (@t1388)) % 1.11/1.33 (step @p1630 :rule cong :premises (@p1629) :args (@t1389)) % 1.11/1.33 (step @p1631 :rule exists-elim :args ((= (exists @t763 @t1387) @t1389))) % 1.11/1.33 (step @p1632 :rule trans :premises (@p1631 @p1630)) % 1.11/1.33 (step @p1633 :rule bool-double-not-elim :args (@t1330)) % 1.11/1.33 (step @p1634 :rule aci_norm :args ((= (or false @t1331) @t1331))) % 1.11/1.33 (step @p1635 :rule refl :args (@t1331)) % 1.11/1.33 (step @p1636 :rule eq-refl :args (@t651)) % 1.11/1.33 (step @p1637 :rule cong :premises (@p1636) :args (@t1390)) % 1.11/1.33 (step @p1638 :rule trans :premises (@p1637 @p952)) % 1.11/1.33 (step @p1639 :rule nary_cong :premises (@p1638 @p1635) :args (@t1391)) % 1.11/1.33 (step @p1640 :rule trans :premises (@p1639 @p1634)) % 1.11/1.33 (step @p1641 :rule quant-var-elim-eq :args ((= (forall @t692 (or (not (= @t690 @t651)) @t1394 @t1393)) @t1391))) % 1.11/1.33 (step @p1642 :rule refl :args (@t1393)) % 1.11/1.33 (step @p1643 :rule refl :args (@t1394)) % 1.11/1.33 (step @p1644 :rule eq-symm :args (@t651 @t690)) % 1.11/1.33 (step @p1645 :rule cong :premises (@p1644) :args (@t1394)) % 1.11/1.33 (step @p1646 :rule nary_cong :premises (@p1645 @p1643 @p1642) :args (@t1395)) % 1.11/1.33 (step @p1647 :rule aci_norm :args ((= @t1396 @t1395))) % 1.11/1.33 (step @p1648 :rule trans :premises (@p1647 @p1646)) % 1.11/1.33 (step @p1649 :rule cong :premises (@p1648) :args ((forall @t692 @t1396))) % 1.11/1.33 (step @p1650 :rule trans :premises (@p1649 @p1641)) % 1.11/1.33 (step @p1651 :rule trans :premises (@p1650 @p1640)) % 1.11/1.33 (step @p1652 :rule bool-and-de-morgan :args (@t927 @t1392 true)) % 1.11/1.33 (step @p1653 :rule cong :premises (@p1652) :args (@t1398)) % 1.11/1.33 (step @p1654 :rule trans :premises (@p1653 @p1651)) % 1.11/1.33 (step @p1655 :rule cong :premises (@p1654) :args (@t1399)) % 1.11/1.33 (step @p1656 :rule trans :premises (@p1655 @p1633)) % 1.11/1.33 (step @p1657 :rule exists-elim :args ((= (exists @t692 @t1397) @t1399))) % 1.11/1.33 (step @p1658 :rule trans :premises (@p1657 @p1656)) % 1.11/1.33 (step @p1659 :rule aci_norm :args ((= (and @t923 (and @t1328 @t1327 @t1326)) @t1329))) % 1.11/1.33 (step @p1660 :rule bool-double-not-elim :args (@t1326)) % 1.11/1.33 (step @p1661 :rule bool-double-not-elim :args (@t1327)) % 1.11/1.33 (step @p1662 :rule bool-double-not-elim :args (@t1328)) % 1.11/1.33 (step @p1663 :rule nary_cong :premises (@p1662 @p1661 @p1660) :args (@t1406)) % 1.11/1.33 (step @p1664 :rule aci_norm :args ((= (and @t1405 (and @t1403 @t1401)) @t1406))) % 1.11/1.33 (step @p1665 :rule trans :premises (@p1664 @p1663)) % 1.11/1.33 (step @p1666 :rule bool-or-de-morgan :args (@t1402 @t1400 false)) % 1.11/1.33 (step @p1667 :rule refl :args (@t1405)) % 1.11/1.33 (step @p1668 :rule nary_cong :premises (@p1667 @p1666) :args ((and @t1405 (not @t1407)))) % 1.11/1.33 (step @p1669 :rule bool-or-de-morgan :args (@t1404 @t1402 (or @t1400))) % 1.11/1.33 (step @p1670 :rule trans :premises (@p1669 @p1668)) % 1.11/1.33 (step @p1671 :rule trans :premises (@p1670 @p1665)) % 1.11/1.33 (step @p1672 :rule refl :args (@t923)) % 1.11/1.33 (step @p1673 :rule nary_cong :premises (@p1672 @p1671) :args (@t1409)) % 1.11/1.33 (step @p1674 :rule trans :premises (@p1673 @p1659)) % 1.11/1.33 (step @p1675 :rule refl :args (@t759)) % 1.11/1.33 (step @p1676 :rule cong :premises (@p1675 @p1674) :args (@t1410)) % 1.11/1.33 (step @p1677 :rule cong :premises (@p1676) :args ((forall @t688 @t1410))) % 1.11/1.33 (step @p1678 :rule aci_norm :args ((= (or @t1404 @t1407) @t1408))) % 1.11/1.33 (step @p1679 :rule aci_norm :args ((= (or @t1402 @t1400 false) @t1407))) % 1.11/1.33 (step @p1680 :rule eq-refl :args (@t1325)) % 1.11/1.33 (step @p1681 :rule cong :premises (@p1680) :args (@t1411)) % 1.11/1.33 (step @p1682 :rule trans :premises (@p1681 @p952)) % 1.11/1.33 (step @p1683 :rule refl :args (@t1400)) % 1.11/1.33 (step @p1684 :rule refl :args (@t1402)) % 1.11/1.33 (step @p1685 :rule nary_cong :premises (@p1684 @p1683 @p1682) :args (@t1412)) % 1.11/1.33 (step @p1686 :rule trans :premises (@p1685 @p1679)) % 1.11/1.33 (step @p1687 :rule quant-var-elim-eq :args ((= (forall @t687 @t1416) @t1412))) % 1.11/1.33 (step @p1688 :rule aci_norm :args ((= @t1417 @t1416))) % 1.11/1.33 (step @p1689 :rule cong :premises (@p1688) :args (@t1418)) % 1.11/1.33 (step @p1690 :rule trans :premises (@p1689 @p1687)) % 1.11/1.33 (step @p1691 :rule trans :premises (@p1690 @p1686)) % 1.11/1.33 (step @p1692 :rule refl :args (@t1404)) % 1.11/1.33 (step @p1693 :rule nary_cong :premises (@p1692 @p1691) :args (@t1419)) % 1.11/1.33 (step @p1694 :rule trans :premises (@p1693 @p1678)) % 1.11/1.33 (step @p1695 :rule quant-miniscope-or :args ((= (forall @t687 @t1420) @t1419))) % 1.11/1.33 (step @p1696 :rule aci_norm :args ((= @t1421 @t1420))) % 1.11/1.33 (step @p1697 :rule cong :premises (@p1696) :args ((forall @t687 @t1421))) % 1.11/1.33 (step @p1698 :rule trans :premises (@p1697 @p1695)) % 1.11/1.33 (step @p1699 :rule trans :premises (@p1698 @p1694)) % 1.11/1.33 (step @p1700 :rule aci_norm :args ((= (or @t1415 @t1422) @t1421))) % 1.11/1.33 (step @p1701 :rule bool-double-not-elim :args (@t1422)) % 1.11/1.33 (step @p1702 :rule refl :args (@t1415)) % 1.11/1.33 (step @p1703 :rule nary_cong :premises (@p1702 @p1701) :args ((or @t1415 (not @t1423)))) % 1.11/1.33 (step @p1704 :rule bool-and-de-morgan :args (@t920 @t1423 true)) % 1.11/1.33 (step @p1705 :rule trans :premises (@p1704 @p1703)) % 1.11/1.33 (step @p1706 :rule trans :premises (@p1705 @p1700)) % 1.11/1.33 (step @p1707 :rule cong :premises (@p1706) :args (@t1425)) % 1.11/1.33 (step @p1708 :rule trans :premises (@p1707 @p1699)) % 1.11/1.33 (step @p1709 :rule cong :premises (@p1708) :args (@t1426)) % 1.11/1.33 (step @p1710 :rule exists-elim :args ((= (exists @t687 @t1424) @t1426))) % 1.11/1.33 (step @p1711 :rule trans :premises (@p1710 @p1709)) % 1.11/1.33 (step @p1712 :rule aci_norm :args ((= (or @t1414 @t1427) @t1422))) % 1.11/1.33 (step @p1713 :rule aci_norm :args ((= (or @t1404 false @t1413) @t1427))) % 1.11/1.33 (step @p1714 :rule refl :args (@t1413)) % 1.11/1.33 (step @p1715 :rule eq-refl :args (@t685)) % 1.11/1.33 (step @p1716 :rule cong :premises (@p1715) :args (@t1428)) % 1.11/1.33 (step @p1717 :rule trans :premises (@p1716 @p952)) % 1.11/1.33 (step @p1718 :rule nary_cong :premises (@p1692 @p1717 @p1714) :args (@t1429)) % 1.11/1.33 (step @p1719 :rule trans :premises (@p1718 @p1713)) % 1.11/1.33 (step @p1720 :rule quant-var-elim-eq :args ((= (forall @t738 (or (not @t797) @t1432 @t1431 @t1430)) @t1429))) % 1.11/1.33 (step @p1721 :rule refl :args (@t1430)) % 1.11/1.33 (step @p1722 :rule refl :args (@t1431)) % 1.11/1.33 (step @p1723 :rule refl :args (@t1432)) % 1.11/1.33 (step @p1724 :rule eq-symm :args (@t685 @t734)) % 1.11/1.33 (step @p1725 :rule cong :premises (@p1724) :args (@t1431)) % 1.11/1.33 (step @p1726 :rule nary_cong :premises (@p1725 @p1723 @p1722 @p1721) :args (@t1433)) % 1.11/1.33 (step @p1727 :rule aci_norm :args ((= @t1434 @t1433))) % 1.11/1.33 (step @p1728 :rule trans :premises (@p1727 @p1726)) % 1.11/1.33 (step @p1729 :rule cong :premises (@p1728) :args (@t1435)) % 1.11/1.33 (step @p1730 :rule trans :premises (@p1729 @p1720)) % 1.11/1.33 (step @p1731 :rule trans :premises (@p1730 @p1719)) % 1.11/1.33 (step @p1732 :rule refl :args (@t1414)) % 1.11/1.33 (step @p1733 :rule nary_cong :premises (@p1732 @p1731) :args (@t1436)) % 1.11/1.33 (step @p1734 :rule trans :premises (@p1733 @p1712)) % 1.11/1.33 (step @p1735 :rule quant-miniscope-or :args ((= (forall @t738 @t1437) @t1436))) % 1.11/1.33 (step @p1736 :rule aci_norm :args ((= @t1438 @t1437))) % 1.11/1.33 (step @p1737 :rule cong :premises (@p1736) :args ((forall @t738 @t1438))) % 1.11/1.33 (step @p1738 :rule trans :premises (@p1737 @p1735)) % 1.11/1.33 (step @p1739 :rule trans :premises (@p1738 @p1734)) % 1.11/1.33 (step @p1740 :rule aci_norm :args ((= (or @t1432 (or @t1414 (or @t1431 @t1430))) @t1438))) % 1.11/1.33 (step @p1741 :rule bool-and-de-morgan :args (@t915 @t914 true)) % 1.11/1.33 (step @p1742 :rule refl :args (@t1414)) % 1.11/1.33 (step @p1743 :rule nary_cong :premises (@p1742 @p1741) :args ((or @t1414 (not (and @t915 @t914))))) % 1.11/1.33 (step @p1744 :rule bool-and-de-morgan :args (@t916 @t915 (and @t914))) % 1.11/1.33 (step @p1745 :rule trans :premises (@p1744 @p1743)) % 1.11/1.33 (step @p1746 :rule nary_cong :premises (@p1723 @p1745) :args ((or @t1432 (not (and @t916 @t915 @t914))))) % 1.11/1.33 (step @p1747 :rule bool-and-de-morgan :args (@t917 @t916 (and @t915 @t914))) % 1.11/1.33 (step @p1748 :rule trans :premises (@p1747 @p1746)) % 1.11/1.33 (step @p1749 :rule trans :premises (@p1748 @p1740)) % 1.11/1.33 (step @p1750 :rule cong :premises (@p1749) :args (@t1439)) % 1.11/1.33 (step @p1751 :rule trans :premises (@p1750 @p1739)) % 1.11/1.33 (step @p1752 :rule cong :premises (@p1751) :args (@t1440)) % 1.11/1.33 (step @p1753 :rule exists-elim :args ((= @t919 @t1440))) % 1.11/1.33 (step @p1754 :rule trans :premises (@p1753 @p1752)) % 1.11/1.33 (step @p1755 :rule refl :args (@t920)) % 1.11/1.33 (step @p1756 :rule nary_cong :premises (@p1755 @p1754) :args (@t921)) % 1.11/1.33 (step @p1757 :rule cong :premises (@p1756) :args (@t922)) % 1.11/1.33 (step @p1758 :rule trans :premises (@p1757 @p1711)) % 1.11/1.33 (step @p1759 :rule refl :args (@t923)) % 1.11/1.33 (step @p1760 :rule nary_cong :premises (@p1759 @p1758) :args (@t924)) % 1.11/1.33 (step @p1761 :rule refl :args (@t759)) % 1.11/1.33 (step @p1762 :rule cong :premises (@p1761 @p1760) :args (@t925)) % 1.11/1.33 (step @p1763 :rule cong :premises (@p1762) :args (@t926)) % 1.11/1.33 (step @p1764 :rule trans :premises (@p1763 @p1677)) % 1.11/1.33 (step @p1765 :rule refl :args (@t927)) % 1.11/1.33 (step @p1766 :rule nary_cong :premises (@p1765 @p1764) :args (@t928)) % 1.11/1.33 (step @p1767 :rule cong :premises (@p1766) :args (@t929)) % 1.11/1.33 (step @p1768 :rule trans :premises (@p1767 @p1658)) % 1.11/1.33 (step @p1769 :rule refl :args (@t930)) % 1.11/1.33 (step @p1770 :rule eq-symm :args (@t761 @t231)) % 1.11/1.33 (step @p1771 :rule nary_cong :premises (@p1770 @p1769 @p1768) :args (@t931)) % 1.11/1.33 (step @p1772 :rule cong :premises (@p1771) :args (@t932)) % 1.11/1.33 (step @p1773 :rule trans :premises (@p1772 @p1632)) % 1.11/1.33 (step @p1774 :rule refl :args (@t933)) % 1.11/1.33 (step @p1775 :rule nary_cong :premises (@p1774 @p1773) :args (@t934)) % 1.11/1.33 (step @p1776 :rule cong :premises (@p1150 @p1775) :args (@t935)) % 1.11/1.33 (step @p1777 :rule cong :premises (@p1776) :args (@t936)) % 1.11/1.33 (step @p1778 :rule cong :premises (@p1777) :args (@t937)) % 1.11/1.33 (step @p1779 :rule trans :premises (@p1778 @p1621)) % 1.11/1.33 (step @p1780 :rule cong :premises (@p1779) :args (@t938)) % 1.11/1.33 (step @p1781 :rule cong :premises (@p1553 @p1780) :args (@t939)) % 1.11/1.33 (step @p1782 :rule cong :premises (@p1781) :args (@t940)) % 1.11/1.33 (step @p1783 :rule trans :premises (@p1782 @p1620)) % 1.11/1.33 (step @p1784 :rule cong :premises (@p1783) :args (@t941)) % 1.11/1.33 (step @p1785 :rule eq_resolve :premises (@p643 @p1784)) % 1.11/1.33 (step @p1786 false :rule chain_m_resolution :premises (@p1785 @p1604) :args (false @t1378 (@list @t1351))) % 1.11/1.33 ) % 1.11/1.33 % SZS output end Proof % 1.11/1.33 % cvc5 exiting %------------------------------------------------------------------------------