%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU382+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:51:34 AM UTC 2026 % Result : Theorem 8.12s 8.34s % Output : Proof 8.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SEU382+2 : TPTP v9.2.1. Released v3.3.0. % 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n002.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 17:05:03 EDT 2026 % 0.16/0.36 % CPUTime : % 0.43/0.71 %----Proving TF0_NAR, FOF, or CNF % 8.12/8.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 8.12/8.34 % SZS status Theorem % 8.12/8.34 % SZS output start Proof % 8.12/8.34 ( % 8.12/8.34 (declare-sort $$unsorted 0) % 8.12/8.34 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.connected (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.preimage_subnetstr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.function_invverse_img_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.function_of_composition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.function (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.top_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.empty_set $$unsorted) % 8.12/8.34 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.apply_on_set_and_struct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.omega $$unsorted) % 8.12/8.34 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.natural (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.finite (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.transitive (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.lattice (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.centered (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.empty (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 8.12/8.34 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 8.12/8.34 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.12/8.34 (define @t1 () (@var "A" $$unsorted)) % 8.12/8.34 (define @t2 () (tptp.the_InternalRel @t1)) % 8.12/8.34 (define @t3 () (tptp.the_carrier @t1)) % 8.12/8.34 (define @t4 () (tptp.strict_rel_str @t1)) % 8.12/8.34 (define @t5 () (tptp.rel_str @t1)) % 8.12/8.34 (define @t6 () (@list @t1)) % 8.12/8.34 (define @t7 () (tptp.the_L_meet @t1)) % 8.12/8.34 (define @t8 () (tptp.the_L_join @t1)) % 8.12/8.34 (define @t9 () (tptp.strict_latt_str @t1)) % 8.12/8.34 (define @t10 () (tptp.latt_str @t1)) % 8.12/8.34 (define @t11 () (@var "B" $$unsorted)) % 8.12/8.34 (define @t12 () (tptp.the_mapping @t1 @t11)) % 8.12/8.34 (define @t13 () (tptp.the_InternalRel @t11)) % 8.12/8.34 (define @t14 () (tptp.the_carrier @t11)) % 8.12/8.34 (define @t15 () (tptp.strict_net_str @t11 @t1)) % 8.12/8.34 (define @t16 () (tptp.net_str @t11 @t1)) % 8.12/8.34 (define @t17 () (tptp.one_sorted_str @t1)) % 8.12/8.34 (define @t18 () (and @t17 @t16)) % 8.12/8.34 (define @t19 () (@list @t1 @t11)) % 8.12/8.34 (define @t20 () (tptp.in @t11 @t1)) % 8.12/8.34 (define @t21 () (not @t20)) % 8.12/8.34 (define @t22 () (tptp.in @t1 @t11)) % 8.12/8.34 (define @t23 () (tptp.proper_subset @t11 @t1)) % 8.12/8.34 (define @t24 () (tptp.proper_subset @t1 @t11)) % 8.12/8.34 (define @t25 () (tptp.v1_xcmplx_0 @t11)) % 8.12/8.34 (define @t26 () (tptp.element @t11 @t1)) % 8.12/8.34 (define @t27 () (@list @t11)) % 8.12/8.34 (define @t28 () (tptp.v1_membered @t1)) % 8.12/8.34 (define @t29 () (tptp.join_complete_relstr @t1)) % 8.12/8.34 (define @t30 () (tptp.up_complete_relstr @t1)) % 8.12/8.34 (define @t31 () (tptp.reflexive_relstr @t1)) % 8.12/8.34 (define @t32 () (tptp.empty_carrier @t1)) % 8.12/8.34 (define @t33 () (not @t32)) % 8.12/8.34 (define @t34 () (tptp.complete_relstr @t1)) % 8.12/8.34 (define @t35 () (tptp.heyting_relstr @t1)) % 8.12/8.34 (define @t36 () (tptp.distributive_relstr @t1)) % 8.12/8.34 (define @t37 () (tptp.upper_bounded_relstr @t1)) % 8.12/8.34 (define @t38 () (tptp.with_infima_relstr @t1)) % 8.12/8.34 (define @t39 () (tptp.with_suprema_relstr @t1)) % 8.12/8.34 (define @t40 () (tptp.antisymmetric_relstr @t1)) % 8.12/8.34 (define @t41 () (tptp.transitive_relstr @t1)) % 8.12/8.34 (define @t42 () (tptp.boolean_relstr @t1)) % 8.12/8.34 (define @t43 () (and @t33 @t42)) % 8.12/8.34 (define @t44 () (tptp.v1_xreal_0 @t11)) % 8.12/8.34 (define @t45 () (tptp.v2_membered @t1)) % 8.12/8.34 (define @t46 () (tptp.lower_bounded_relstr @t1)) % 8.12/8.34 (define @t47 () (tptp.v1_rat_1 @t11)) % 8.12/8.34 (define @t48 () (tptp.v3_membered @t1)) % 8.12/8.34 (define @t49 () (tptp.bounded_relstr @t1)) % 8.12/8.34 (define @t50 () (tptp.v1_int_1 @t11)) % 8.12/8.34 (define @t51 () (tptp.v4_membered @t1)) % 8.12/8.34 (define @t52 () (tptp.natural @t11)) % 8.12/8.34 (define @t53 () (tptp.v5_membered @t1)) % 8.12/8.34 (define @t54 () (tptp.empty @t1)) % 8.12/8.34 (define @t55 () (tptp.v1_membered @t11)) % 8.12/8.34 (define @t56 () (tptp.powerset @t1)) % 8.12/8.34 (define @t57 () (tptp.element @t11 @t56)) % 8.12/8.34 (define @t58 () (tptp.v2_membered @t11)) % 8.12/8.34 (define @t59 () (tptp.v3_membered @t11)) % 8.12/8.34 (define @t60 () (tptp.v4_membered @t11)) % 8.12/8.34 (define @t61 () (tptp.ordinal @t11)) % 8.12/8.34 (define @t62 () (tptp.epsilon_connected @t11)) % 8.12/8.34 (define @t63 () (tptp.epsilon_transitive @t11)) % 8.12/8.34 (define @t64 () (tptp.ordinal @t1)) % 8.12/8.34 (define @t65 () (tptp.finite @t1)) % 8.12/8.34 (define @t66 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 8.12/8.34 (define @t67 () (tptp.preboolean @t1)) % 8.12/8.34 (define @t68 () (tptp.function @t1)) % 8.12/8.34 (define @t69 () (@var "C" $$unsorted)) % 8.12/8.34 (define @t70 () (tptp.quasi_total @t69 @t1 @t11)) % 8.12/8.34 (define @t71 () (tptp.function @t69)) % 8.12/8.34 (define @t72 () (and @t71 @t70)) % 8.12/8.34 (define @t73 () (tptp.v1_partfun1 @t69 @t1 @t11)) % 8.12/8.34 (define @t74 () (tptp.relation_of2 @t69 @t1 @t11)) % 8.12/8.34 (define @t75 () (@list @t1 @t11 @t69)) % 8.12/8.34 (define @t76 () (tptp.bounded_lattstr @t1)) % 8.12/8.34 (define @t77 () (tptp.upper_bounded_semilattstr @t1)) % 8.12/8.34 (define @t78 () (tptp.lower_bounded_semilattstr @t1)) % 8.12/8.34 (define @t79 () (tptp.lattice @t1)) % 8.12/8.34 (define @t80 () (tptp.join_absorbing @t1)) % 8.12/8.34 (define @t81 () (tptp.meet_absorbing @t1)) % 8.12/8.34 (define @t82 () (tptp.meet_associative @t1)) % 8.12/8.34 (define @t83 () (tptp.meet_commutative @t1)) % 8.12/8.34 (define @t84 () (tptp.join_associative @t1)) % 8.12/8.34 (define @t85 () (tptp.join_commutative @t1)) % 8.12/8.34 (define @t86 () (tptp.complete_latt_str @t1)) % 8.12/8.34 (define @t87 () (and @t33 @t85 @t84 @t83 @t82 @t81 @t80)) % 8.12/8.34 (define @t88 () (and @t33 @t79)) % 8.12/8.34 (define @t89 () (tptp.epsilon_connected @t1)) % 8.12/8.34 (define @t90 () (tptp.epsilon_transitive @t1)) % 8.12/8.34 (define @t91 () (and @t90 @t89)) % 8.12/8.34 (define @t92 () (tptp.reflexive @t1)) % 8.12/8.34 (define @t93 () (tptp.relation @t1)) % 8.12/8.34 (define @t94 () (tptp.transitive @t1)) % 8.12/8.34 (define @t95 () (tptp.relation @t69)) % 8.12/8.34 (define @t96 () (tptp.cartesian_product2 @t1 @t11)) % 8.12/8.34 (define @t97 () (tptp.element @t69 (tptp.powerset @t96))) % 8.12/8.34 (define @t98 () (tptp.filtered_subset @t11 @t1)) % 8.12/8.34 (define @t99 () (tptp.directed_subset @t11 @t1)) % 8.12/8.34 (define @t100 () (tptp.powerset @t3)) % 8.12/8.34 (define @t101 () (tptp.element @t11 @t100)) % 8.12/8.34 (define @t102 () (tptp.connected_relstr @t1)) % 8.12/8.34 (define @t103 () (and @t33 @t34)) % 8.12/8.34 (define @t104 () (tptp.v1_yellow_3 @t1)) % 8.12/8.34 (define @t105 () (tptp.natural @t1)) % 8.12/8.34 (define @t106 () (and @t90 @t89 @t64 @t105)) % 8.12/8.34 (define @t107 () (tptp.finite @t11)) % 8.12/8.34 (define @t108 () (tptp.one_to_one @t1)) % 8.12/8.34 (define @t109 () (and @t93 @t68 @t108)) % 8.12/8.34 (define @t110 () (and @t93 @t54 @t68)) % 8.12/8.34 (define @t111 () (tptp.one_to_one @t69)) % 8.12/8.34 (define @t112 () (and @t71 @t111 @t70 (tptp.onto @t69 @t1 @t11))) % 8.12/8.34 (define @t113 () (and @t71 @t70 (tptp.bijective @t69 @t1 @t11))) % 8.12/8.34 (define @t114 () (tptp.trivial_carrier @t1)) % 8.12/8.34 (define @t115 () (and @t33 @t31 @t114)) % 8.12/8.34 (define @t116 () (not @t104)) % 8.12/8.34 (define @t117 () (and @t33 @t76)) % 8.12/8.34 (define @t118 () (and @t33 @t78 @t77)) % 8.12/8.34 (define @t119 () (and @t90 @t89 @t64)) % 8.12/8.34 (define @t120 () (tptp.v2_waybel_3 @t1)) % 8.12/8.34 (define @t121 () (tptp.bijective @t11 @t1 @t1)) % 8.12/8.34 (define @t122 () (tptp.onto @t11 @t1 @t1)) % 8.12/8.34 (define @t123 () (tptp.quasi_total @t11 @t1 @t1)) % 8.12/8.34 (define @t124 () (tptp.one_to_one @t11)) % 8.12/8.34 (define @t125 () (tptp.function @t11)) % 8.12/8.34 (define @t126 () (tptp.reflexive @t11)) % 8.12/8.34 (define @t127 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 8.12/8.34 (define @t128 () (tptp.relation_of2 @t11 @t1 @t1)) % 8.12/8.34 (define @t129 () (tptp.v3_waybel_3 @t1)) % 8.12/8.34 (define @t130 () (and @t46 @t37)) % 8.12/8.34 (define @t131 () (@list @t69)) % 8.12/8.34 (define @t132 () (tptp.empty @t11)) % 8.12/8.34 (define @t133 () (not @t132)) % 8.12/8.34 (define @t134 () (tptp.complemented_lattstr @t1)) % 8.12/8.34 (define @t135 () (tptp.distributive_lattstr @t1)) % 8.12/8.34 (define @t136 () (tptp.boolean_lattstr @t1)) % 8.12/8.34 (define @t137 () (and @t33 @t136)) % 8.12/8.34 (define @t138 () (and @t33 @t35)) % 8.12/8.34 (define @t139 () (tptp.empty @t69)) % 8.12/8.34 (define @t140 () (not @t54)) % 8.12/8.34 (define @t141 () (and @t140 @t133)) % 8.12/8.34 (define @t142 () (tptp.modular_lattstr @t1)) % 8.12/8.34 (define @t143 () (tptp.full_subrelstr @t11 @t1)) % 8.12/8.34 (define @t144 () (tptp.transitive_relstr @t11)) % 8.12/8.34 (define @t145 () (tptp.subrelstr @t11 @t1)) % 8.12/8.34 (define @t146 () (and @t41 @t5)) % 8.12/8.34 (define @t147 () (tptp.complemented_relstr @t1)) % 8.12/8.34 (define @t148 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t69)) % 8.12/8.34 (define @t149 () (tptp.element @t69 @t3)) % 8.12/8.34 (define @t150 () (tptp.element @t11 @t3)) % 8.12/8.34 (define @t151 () (and @t33 @t17 @t150 @t149)) % 8.12/8.34 (define @t152 () (tptp.unordered_pair @t1 @t11)) % 8.12/8.34 (define @t153 () (tptp.set_union2 @t11 @t1)) % 8.12/8.34 (define @t154 () (tptp.set_union2 @t1 @t11)) % 8.12/8.34 (define @t155 () (tptp.join_commut @t1 @t11 @t69)) % 8.12/8.34 (define @t156 () (tptp.join_semilatt_str @t1)) % 8.12/8.34 (define @t157 () (and @t33 @t85 @t156 @t150 @t149)) % 8.12/8.34 (define @t158 () (tptp.set_intersection2 @t11 @t1)) % 8.12/8.34 (define @t159 () (tptp.set_intersection2 @t1 @t11)) % 8.12/8.34 (define @t160 () (tptp.meet_commut @t1 @t11 @t69)) % 8.12/8.34 (define @t161 () (tptp.meet_semilatt_str @t1)) % 8.12/8.34 (define @t162 () (and @t33 @t83 @t161 @t150 @t149)) % 8.12/8.34 (define @t163 () (tptp.subset_union2 @t1 @t11 @t69)) % 8.12/8.34 (define @t164 () (tptp.element @t69 @t56)) % 8.12/8.34 (define @t165 () (and @t57 @t164)) % 8.12/8.34 (define @t166 () (tptp.subset_intersection2 @t1 @t11 @t69)) % 8.12/8.34 (define @t167 () (tptp.ordinal_subset @t1 @t11)) % 8.12/8.34 (define @t168 () (and @t64 @t61)) % 8.12/8.34 (define @t169 () (@var "D" $$unsorted)) % 8.12/8.34 (define @t170 () (= @t69 @t169)) % 8.12/8.34 (define @t171 () (tptp.in @t69 @t1)) % 8.12/8.34 (define @t172 () (tptp.ordered_pair @t69 @t169)) % 8.12/8.34 (define @t173 () (tptp.in @t172 @t11)) % 8.12/8.34 (define @t174 () (@list @t69 @t169)) % 8.12/8.34 (define @t175 () (tptp.identity_relation @t1)) % 8.12/8.34 (define @t176 () (= @t11 @t175)) % 8.12/8.34 (define @t177 () (tptp.relation @t11)) % 8.12/8.34 (define @t178 () (tptp.subset @t11 @t1)) % 8.12/8.34 (define @t179 () (tptp.subset @t1 @t11)) % 8.12/8.34 (define @t180 () (= @t1 @t11)) % 8.12/8.34 (define @t181 () (tptp.related @t1 @t169 @t69)) % 8.12/8.34 (define @t182 () (tptp.relstr_element_smaller @t1 @t11 @t169)) % 8.12/8.34 (define @t183 () (tptp.element @t169 @t3)) % 8.12/8.34 (define @t184 () (@list @t169)) % 8.12/8.34 (define @t185 () (forall @t184 (=> @t183 (=> @t182 @t181)))) % 8.12/8.34 (define @t186 () (tptp.relstr_element_smaller @t1 @t11 @t69)) % 8.12/8.34 (define @t187 () (tptp.meet_on_relstr @t1 @t11)) % 8.12/8.34 (define @t188 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 8.12/8.34 (define @t189 () (@list @t11 @t69)) % 8.12/8.34 (define @t190 () (tptp.identity_on_carrier @t1)) % 8.12/8.34 (define @t191 () (@var "E" $$unsorted)) % 8.12/8.34 (define @t192 () (tptp.ordered_pair @t169 @t191)) % 8.12/8.34 (define @t193 () (tptp.in @t192 @t1)) % 8.12/8.34 (define @t194 () (tptp.in @t169 @t11)) % 8.12/8.34 (define @t195 () (tptp.in @t192 @t69)) % 8.12/8.34 (define @t196 () (@list @t169 @t191)) % 8.12/8.34 (define @t197 () (tptp.relation_dom_restriction @t1 @t11)) % 8.12/8.34 (define @t198 () (tptp.in (tptp.apply_netmap @t1 @t11 @t191) @t69)) % 8.12/8.34 (define @t199 () (tptp.related @t11 @t169 @t191)) % 8.12/8.34 (define @t200 () (tptp.element @t191 @t14)) % 8.12/8.34 (define @t201 () (@list @t191)) % 8.12/8.34 (define @t202 () (tptp.element @t169 @t14)) % 8.12/8.34 (define @t203 () (tptp.is_eventually_in @t1 @t11 @t69)) % 8.12/8.34 (define @t204 () (not (tptp.empty_carrier @t11))) % 8.12/8.34 (define @t205 () (and @t204 @t16)) % 8.12/8.34 (define @t206 () (and @t33 @t17)) % 8.12/8.34 (define @t207 () (tptp.bottom_of_relstr @t1)) % 8.12/8.34 (define @t208 () (tptp.in @t191 @t11)) % 8.12/8.34 (define @t209 () (tptp.relation_dom @t1)) % 8.12/8.34 (define @t210 () (tptp.in @t169 @t69)) % 8.12/8.34 (define @t211 () (tptp.relation_image @t1 @t11)) % 8.12/8.34 (define @t212 () (= @t69 @t211)) % 8.12/8.34 (define @t213 () (and @t93 @t68)) % 8.12/8.34 (define @t214 () (tptp.in @t191 @t1)) % 8.12/8.34 (define @t215 () (tptp.relation_rng_restriction @t1 @t11)) % 8.12/8.34 (define @t216 () (tptp.relation_field @t1)) % 8.12/8.34 (define @t217 () (tptp.antisymmetric @t1)) % 8.12/8.34 (define @t218 () (tptp.is_often_in @t1 @t11 @t69)) % 8.12/8.34 (define @t219 () (@var "G" $$unsorted)) % 8.12/8.34 (define @t220 () (tptp.the_carrier @t69)) % 8.12/8.34 (define @t221 () (@var "F" $$unsorted)) % 8.12/8.34 (define @t222 () (tptp.related @t69 @t221 @t219)) % 8.12/8.34 (define @t223 () (tptp.element @t219 @t220)) % 8.12/8.34 (define @t224 () (@list @t219)) % 8.12/8.34 (define @t225 () (tptp.element @t221 @t220)) % 8.12/8.34 (define @t226 () (@list @t221)) % 8.12/8.34 (define @t227 () (tptp.the_mapping @t1 @t69)) % 8.12/8.34 (define @t228 () (tptp.function @t169)) % 8.12/8.34 (define @t229 () (tptp.subnet @t69 @t1 @t11)) % 8.12/8.34 (define @t230 () (tptp.net_str @t69 @t1)) % 8.12/8.34 (define @t231 () (not (tptp.empty_carrier @t69))) % 8.12/8.34 (define @t232 () (and @t231 (tptp.transitive_relstr @t69) (tptp.directed_relstr @t69) @t230)) % 8.12/8.34 (define @t233 () (tptp.directed_relstr @t11)) % 8.12/8.34 (define @t234 () (and @t204 @t144 @t233 @t16)) % 8.12/8.34 (define @t235 () (tptp.apply @t1 @t169)) % 8.12/8.34 (define @t236 () (tptp.in @t169 @t209)) % 8.12/8.34 (define @t237 () (= @t69 (tptp.relation_inverse_image @t1 @t11))) % 8.12/8.34 (define @t238 () (tptp.meet @t1 @t11 @t69)) % 8.12/8.34 (define @t239 () (forall @t131 (=> @t149 (and (= @t238 @t11) (= (tptp.meet @t1 @t69 @t11) @t11))))) % 8.12/8.34 (define @t240 () (and @t33 @t161)) % 8.12/8.34 (define @t241 () (tptp.element @t191 @t100)) % 8.12/8.34 (define @t242 () (tptp.topstr_closure @t1 @t11)) % 8.12/8.34 (define @t243 () (tptp.element @t69 @t100)) % 8.12/8.34 (define @t244 () (tptp.top_str @t1)) % 8.12/8.34 (define @t245 () (tptp.ordered_pair @t191 @t169)) % 8.12/8.34 (define @t246 () (tptp.rel_str @t11)) % 8.12/8.34 (define @t247 () (tptp.preimage_subnetstr @t1 @t11 @t69)) % 8.12/8.34 (define @t248 () (= @t169 @t247)) % 8.12/8.34 (define @t249 () (tptp.connected @t1)) % 8.12/8.34 (define @t250 () (tptp.latt_set_smaller @t1 @t11 @t69)) % 8.12/8.34 (define @t251 () (and @t33 @t10)) % 8.12/8.34 (define @t252 () (tptp.bottom_of_semilattstr @t1)) % 8.12/8.34 (define @t253 () (tptp.lim_points_of_net @t1 @t11)) % 8.12/8.34 (define @t254 () (tptp.topological_space @t1)) % 8.12/8.34 (define @t255 () (and @t33 @t254 @t244)) % 8.12/8.34 (define @t256 () (tptp.ordered_pair @t11 @t69)) % 8.12/8.34 (define @t257 () (tptp.interior @t1 @t69)) % 8.12/8.34 (define @t258 () (tptp.point_neighbourhood @t69 @t1 @t11)) % 8.12/8.34 (define @t259 () (= @t191 @t69)) % 8.12/8.34 (define @t260 () (tptp.in @t191 @t169)) % 8.12/8.34 (define @t261 () (@list @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t262 () (tptp.relation_dom @t11)) % 8.12/8.34 (define @t263 () (tptp.relation_rng @t11)) % 8.12/8.34 (define @t264 () (tptp.in (tptp.ordered_pair @t11 @t169) @t1)) % 8.12/8.34 (define @t265 () (tptp.in @t256 @t1)) % 8.12/8.34 (define @t266 () (@list @t11 @t69 @t169)) % 8.12/8.34 (define @t267 () (= @t69 tptp.empty_set)) % 8.12/8.34 (define @t268 () (= @t1 tptp.empty_set)) % 8.12/8.34 (define @t269 () (= @t11 tptp.empty_set)) % 8.12/8.34 (define @t270 () (tptp.relation_dom_as_subset @t1 @t11 @t69)) % 8.12/8.34 (define @t271 () (tptp.relation_of2_as_subset @t69 @t1 @t11)) % 8.12/8.34 (define @t272 () (tptp.element @t169 @t56)) % 8.12/8.34 (define @t273 () (tptp.boole_lattice @t1)) % 8.12/8.34 (define @t274 () (tptp.latt_str @t11)) % 8.12/8.34 (define @t275 () (tptp.join @t1 @t11 @t69)) % 8.12/8.34 (define @t276 () (and @t33 @t156)) % 8.12/8.34 (define @t277 () (= @t11 @t69)) % 8.12/8.34 (define @t278 () (= @t1 @t172)) % 8.12/8.34 (define @t279 () (exists @t189 (= @t1 @t256))) % 8.12/8.34 (define @t280 () (tptp.singleton @t1)) % 8.12/8.34 (define @t281 () (tptp.succ @t1)) % 8.12/8.34 (define @t282 () (tptp.the_topology @t1)) % 8.12/8.34 (define @t283 () (tptp.in @t11 @t282)) % 8.12/8.34 (define @t284 () (tptp.union_of_subsets @t3 @t11)) % 8.12/8.34 (define @t285 () (tptp.powerset @t100)) % 8.12/8.34 (define @t286 () (tptp.element @t11 @t285)) % 8.12/8.34 (define @t287 () (tptp.in @t69 @t11)) % 8.12/8.34 (define @t288 () (tptp.is_reflexive_in @t1 @t11)) % 8.12/8.34 (define @t289 () (= @t11 (tptp.set_meet @t1))) % 8.12/8.34 (define @t290 () (tptp.in @t69 @t169)) % 8.12/8.34 (define @t291 () (tptp.in @t169 @t1)) % 8.12/8.34 (define @t292 () (not @t268)) % 8.12/8.34 (define @t293 () (tptp.empty @t3)) % 8.12/8.34 (define @t294 () (tptp.subset_complement @t3 @t11)) % 8.12/8.34 (define @t295 () (tptp.interior @t1 @t11)) % 8.12/8.34 (define @t296 () (tptp.open_subset @t69 @t1)) % 8.12/8.34 (define @t297 () (tptp.open_subsets @t11 @t1)) % 8.12/8.34 (define @t298 () (tptp.related @t1 @t169 @t191)) % 8.12/8.34 (define @t299 () (tptp.element @t191 @t3)) % 8.12/8.34 (define @t300 () (= @t169 @t11)) % 8.12/8.34 (define @t301 () (tptp.subset @t69 @t169)) % 8.12/8.34 (define @t302 () (tptp.relation_field @t11)) % 8.12/8.34 (define @t303 () (tptp.inclusion_relation @t1)) % 8.12/8.34 (define @t304 () (tptp.inclusion_order @t1)) % 8.12/8.34 (define @t305 () (tptp.incl_POSet @t1)) % 8.12/8.34 (define @t306 () (tptp.related @t1 @t69 @t169)) % 8.12/8.34 (define @t307 () (tptp.upper_relstr_subset @t11 @t1)) % 8.12/8.34 (define @t308 () (tptp.join_of_latt_set @t1 @t11)) % 8.12/8.34 (define @t309 () (and @t33 @t79 @t86 @t10)) % 8.12/8.34 (define @t310 () (tptp.meet_of_latt_set @t1 @t11)) % 8.12/8.34 (define @t311 () (tptp.set_meet @t11)) % 8.12/8.34 (define @t312 () (not @t269)) % 8.12/8.34 (define @t313 () (tptp.k2_lattice3 @t1)) % 8.12/8.34 (define @t314 () (tptp.poset_of_lattice @t1)) % 8.12/8.34 (define @t315 () (and @t33 @t79 @t10)) % 8.12/8.34 (define @t316 () (= @t11 @t169)) % 8.12/8.34 (define @t317 () (tptp.empty_carrier_subset @t1)) % 8.12/8.34 (define @t318 () (tptp.in @t172 @t1)) % 8.12/8.34 (define @t319 () (tptp.union @t1)) % 8.12/8.34 (define @t320 () (= @t11 @t319)) % 8.12/8.34 (define @t321 () (forall @t131 (=> @t243 (=> @t287 (tptp.closed_subset @t69 @t1))))) % 8.12/8.34 (define @t322 () (tptp.closed_subsets @t11 @t1)) % 8.12/8.34 (define @t323 () (tptp.well_founded_relation @t1)) % 8.12/8.34 (define @t324 () (tptp.related @t1 @t11 @t169)) % 8.12/8.34 (define @t325 () (tptp.related @t1 @t11 @t69)) % 8.12/8.34 (define @t326 () (forall @t27 (=> @t150 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (=> (and @t325 @t306) @t324)))))))) % 8.12/8.34 (define @t327 () (tptp.boole_POSet @t1)) % 8.12/8.34 (define @t328 () (tptp.ordered_pair @t191 @t221)) % 8.12/8.34 (define @t329 () (tptp.in @t221 @t11)) % 8.12/8.34 (define @t330 () (@list @t191 @t221)) % 8.12/8.34 (define @t331 () (tptp.finite @t69)) % 8.12/8.34 (define @t332 () (tptp.subset @t69 @t11)) % 8.12/8.34 (define @t333 () (tptp.element @t69 @t285)) % 8.12/8.34 (define @t334 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 8.12/8.34 (define @t335 () (tptp.compact_top_space @t1)) % 8.12/8.34 (define @t336 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 8.12/8.34 (define @t337 () (tptp.below @t1 @t11 @t69)) % 8.12/8.34 (define @t338 () (not @t287)) % 8.12/8.34 (define @t339 () (not @t277)) % 8.12/8.34 (define @t340 () (tptp.in @t11 @t69)) % 8.12/8.34 (define @t341 () (tptp.cast_as_carrier_subset @t1)) % 8.12/8.34 (define @t342 () (forall @t131 (=> @t171 @t287))) % 8.12/8.34 (define @t343 () (not @t267)) % 8.12/8.34 (define @t344 () (tptp.is_well_founded_in @t1 @t11)) % 8.12/8.34 (define @t345 () (tptp.apply @t1 @t11)) % 8.12/8.34 (define @t346 () (= @t69 @t345)) % 8.12/8.34 (define @t347 () (tptp.in @t11 @t209)) % 8.12/8.34 (define @t348 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 8.12/8.34 (define @t349 () (tptp.the_carrier @t314)) % 8.12/8.34 (define @t350 () (tptp.element @t11 @t349)) % 8.12/8.34 (define @t351 () (tptp.in (tptp.ordered_pair @t169 @t69) @t1)) % 8.12/8.34 (define @t352 () (tptp.is_antisymmetric_in @t1 @t11)) % 8.12/8.34 (define @t353 () (tptp.cast_to_subset @t1)) % 8.12/8.34 (define @t354 () (tptp.well_ordering @t1)) % 8.12/8.34 (define @t355 () (tptp.relation_rng @t69)) % 8.12/8.34 (define @t356 () (tptp.relation_dom @t69)) % 8.12/8.34 (define @t357 () (= @t356 @t1)) % 8.12/8.34 (define @t358 () (tptp.equipotent @t1 @t11)) % 8.12/8.34 (define @t359 () (tptp.set_difference @t1 @t11)) % 8.12/8.34 (define @t360 () (and @t236 (= @t69 @t235))) % 8.12/8.34 (define @t361 () (tptp.relation_rng @t1)) % 8.12/8.34 (define @t362 () (= @t11 @t361)) % 8.12/8.34 (define @t363 () (tptp.being_limit_ordinal @t1)) % 8.12/8.34 (define @t364 () (tptp.open_subset @t11 @t1)) % 8.12/8.34 (define @t365 () (tptp.subset_complement @t1 @t11)) % 8.12/8.34 (define @t366 () (tptp.ordered_pair @t1 @t11)) % 8.12/8.34 (define @t367 () (tptp.is_connected_in @t1 @t11)) % 8.12/8.34 (define @t368 () (tptp.is_transitive_in @t1 @t11)) % 8.12/8.34 (define @t369 () (tptp.subset_difference @t3 @t341 @t11)) % 8.12/8.34 (define @t370 () (tptp.closed_subset @t11 @t1)) % 8.12/8.34 (define @t371 () (tptp.cartesian_product2 @t11 @t11)) % 8.12/8.34 (define @t372 () (tptp.relation_restriction @t1 @t11)) % 8.12/8.34 (define @t373 () (tptp.relation_inverse @t1)) % 8.12/8.34 (define @t374 () (tptp.apply @t69 @t191)) % 8.12/8.34 (define @t375 () (tptp.apply @t69 @t169)) % 8.12/8.34 (define @t376 () (tptp.relation_isomorphism @t1 @t11 @t69)) % 8.12/8.34 (define @t377 () (and @t95 @t71)) % 8.12/8.34 (define @t378 () (tptp.disjoint @t1 @t11)) % 8.12/8.34 (define @t379 () (= @t169 @t69)) % 8.12/8.34 (define @t380 () (tptp.relstr_set_smaller @t1 @t11 @t169)) % 8.12/8.34 (define @t381 () (forall @t184 (=> @t183 (=> @t380 @t306)))) % 8.12/8.34 (define @t382 () (tptp.relstr_set_smaller @t1 @t11 @t69)) % 8.12/8.34 (define @t383 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 8.12/8.34 (define @t384 () (tptp.relation_of_lattice @t1)) % 8.12/8.34 (define @t385 () (tptp.relation_composition @t1 @t11)) % 8.12/8.34 (define @t386 () (@list @t69 @t169 @t191)) % 8.12/8.34 (define @t387 () (tptp.complements_of_subsets @t1 @t11)) % 8.12/8.34 (define @t388 () (tptp.powerset @t56)) % 8.12/8.34 (define @t389 () (tptp.element @t11 @t388)) % 8.12/8.34 (define @t390 () (tptp.apply_netmap @t1 @t11 @t69)) % 8.12/8.34 (define @t391 () (tptp.element @t69 @t14)) % 8.12/8.34 (define @t392 () (not @t180)) % 8.12/8.34 (define @t393 () (tptp.subrelstr @t69 @t11)) % 8.12/8.34 (define @t394 () (tptp.subnetstr @t69 @t1 @t11)) % 8.12/8.34 (define @t395 () (tptp.function_inverse @t1)) % 8.12/8.34 (define @t396 () (tptp.join_on_relstr @t1 @t11)) % 8.12/8.34 (define @t397 () (tptp.full_subnetstr @t69 @t1 @t11)) % 8.12/8.34 (define @t398 () (tptp.rel_str_of @t1 @t11)) % 8.12/8.34 (define @t399 () (tptp.strict_rel_str @t398)) % 8.12/8.34 (define @t400 () (tptp.net_str_of @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t401 () (tptp.strict_net_str @t400 @t1)) % 8.12/8.34 (define @t402 () (tptp.relation_of2 @t169 @t11 @t3)) % 8.12/8.34 (define @t403 () (tptp.quasi_total @t169 @t11 @t3)) % 8.12/8.34 (define @t404 () (tptp.relation_of2 @t69 @t11 @t11)) % 8.12/8.34 (define @t405 () (and @t17 @t404 @t228 @t403 @t402)) % 8.12/8.34 (define @t406 () (tptp.latt_str_of @t1 @t11 @t69)) % 8.12/8.34 (define @t407 () (tptp.strict_latt_str @t406)) % 8.12/8.34 (define @t408 () (tptp.cartesian_product2 @t1 @t1)) % 8.12/8.34 (define @t409 () (tptp.relation_of2 @t69 @t408 @t1)) % 8.12/8.34 (define @t410 () (tptp.quasi_total @t69 @t408 @t1)) % 8.12/8.34 (define @t411 () (tptp.relation_of2 @t11 @t408 @t1)) % 8.12/8.34 (define @t412 () (tptp.quasi_total @t11 @t408 @t1)) % 8.12/8.34 (define @t413 () (and @t125 @t412 @t411 @t71 @t410 @t409)) % 8.12/8.34 (define @t414 () (tptp.k8_filter_1 @t1 @t11)) % 8.12/8.34 (define @t415 () (tptp.k10_filter_1 @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t416 () (tptp.lattice @t11)) % 8.12/8.34 (define @t417 () (and @t33 @t79 @t10 @t204 @t416 @t274 @t149 @t202)) % 8.12/8.34 (define @t418 () (tptp.ordered_pair_as_product_element @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t419 () (tptp.element @t69 @t1)) % 8.12/8.34 (define @t420 () (and @t140 @t133 @t419 (tptp.element @t169 @t11))) % 8.12/8.34 (define @t421 () (tptp.strict_latt_str @t273)) % 8.12/8.34 (define @t422 () (tptp.k1_pcomps_1 @t1)) % 8.12/8.34 (define @t423 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 8.12/8.34 (define @t424 () (and @t244 @t101)) % 8.12/8.34 (define @t425 () (tptp.apply_on_structs @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t426 () (tptp.relation_of2 @t69 @t3 @t14)) % 8.12/8.34 (define @t427 () (tptp.quasi_total @t69 @t3 @t14)) % 8.12/8.34 (define @t428 () (tptp.one_sorted_str @t11)) % 8.12/8.34 (define @t429 () (and @t33 @t17 @t204 @t428 @t71 @t427 @t426 @t183)) % 8.12/8.34 (define @t430 () (tptp.apply_binary_as_element @t1 @t11 @t69 @t169 @t191 @t221)) % 8.12/8.34 (define @t431 () (and @t140 @t133 @t228 (tptp.quasi_total @t169 @t96 @t69) (tptp.relation_of2 @t169 @t96 @t69) (tptp.element @t191 @t1) (tptp.element @t221 @t11))) % 8.12/8.34 (define @t432 () (@list @t1 @t11 @t69 @t169 @t191 @t221)) % 8.12/8.34 (define @t433 () (tptp.strict_rel_str @t305)) % 8.12/8.34 (define @t434 () (tptp.antisymmetric_relstr @t314)) % 8.12/8.34 (define @t435 () (tptp.transitive_relstr @t314)) % 8.12/8.34 (define @t436 () (tptp.reflexive_relstr @t314)) % 8.12/8.34 (define @t437 () (tptp.strict_rel_str @t314)) % 8.12/8.34 (define @t438 () (tptp.strict_rel_str @t327)) % 8.12/8.34 (define @t439 () (tptp.apply_on_set_and_struct @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t440 () (tptp.element @t169 @t1)) % 8.12/8.34 (define @t441 () (and @t140 @t204 @t246 @t71 (tptp.quasi_total @t69 @t1 @t14) (tptp.relation_of2 @t69 @t1 @t14) @t440)) % 8.12/8.34 (define @t442 () (tptp.relation @t373)) % 8.12/8.34 (define @t443 () (tptp.function_invverse_img_as_carrier_subset @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t444 () (and @t17 @t428 @t71 @t427 @t426)) % 8.12/8.34 (define @t445 () (tptp.relation @t385)) % 8.12/8.34 (define @t446 () (and @t93 @t177)) % 8.12/8.34 (define @t447 () (tptp.powerset @t11)) % 8.12/8.34 (define @t448 () (tptp.relation_rng_as_subset @t1 @t11 @t69)) % 8.12/8.34 (define @t449 () (tptp.union_of_subsets @t1 @t11)) % 8.12/8.34 (define @t450 () (tptp.identity_as_relation_of @t1)) % 8.12/8.34 (define @t451 () (tptp.relation @t175)) % 8.12/8.34 (define @t452 () (tptp.meet_of_subsets @t1 @t11)) % 8.12/8.34 (define @t453 () (tptp.subset_difference @t1 @t11 @t69)) % 8.12/8.34 (define @t454 () (tptp.strict_net_str @t247 @t1)) % 8.12/8.34 (define @t455 () (tptp.function_of_composition @t1 @t11 @t69 @t169 @t191)) % 8.12/8.34 (define @t456 () (tptp.function @t191)) % 8.12/8.34 (define @t457 () (tptp.quasi_total @t169 @t1 @t11)) % 8.12/8.34 (define @t458 () (and @t133 @t228 @t457 (tptp.relation_of2 @t169 @t1 @t11) @t456 (tptp.quasi_total @t191 @t11 @t69) (tptp.relation_of2 @t191 @t11 @t69))) % 8.12/8.34 (define @t459 () (@list @t1 @t11 @t69 @t169 @t191)) % 8.12/8.34 (define @t460 () (tptp.relation @t197)) % 8.12/8.34 (define @t461 () (tptp.apply_as_element @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t462 () (and @t140 @t71 @t70 @t74 @t440)) % 8.12/8.34 (define @t463 () (tptp.relation @t215)) % 8.12/8.34 (define @t464 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t69 @t169)) % 8.12/8.34 (define @t465 () (and @t33 @t254 @t244 @t150)) % 8.12/8.34 (define @t466 () (and @t33 @t17 @t204 @t144 @t233 @t16)) % 8.12/8.34 (define @t467 () (tptp.cartesian_product2 @t3 @t3)) % 8.12/8.34 (define @t468 () (tptp.quasi_total @t7 @t467 @t3)) % 8.12/8.34 (define @t469 () (tptp.function @t7)) % 8.12/8.34 (define @t470 () (tptp.quasi_total @t12 @t14 @t3)) % 8.12/8.34 (define @t471 () (tptp.function @t12)) % 8.12/8.34 (define @t472 () (tptp.quasi_total @t8 @t467 @t3)) % 8.12/8.34 (define @t473 () (tptp.function @t8)) % 8.12/8.34 (define @t474 () (tptp.finite @t159)) % 8.12/8.34 (define @t475 () (tptp.relation_composition @t11 @t1)) % 8.12/8.34 (define @t476 () (and @t54 @t177)) % 8.12/8.34 (define @t477 () (tptp.relation_empty_yielding tptp.empty_set)) % 8.12/8.34 (define @t478 () (tptp.relation tptp.empty_set)) % 8.12/8.34 (define @t479 () (tptp.empty tptp.empty_set)) % 8.12/8.34 (define @t480 () (tptp.relation_empty_yielding @t1)) % 8.12/8.34 (define @t481 () (and @t93 @t480)) % 8.12/8.34 (define @t482 () (tptp.relation @t2)) % 8.12/8.34 (define @t483 () (and @t65 @t107)) % 8.12/8.34 (define @t484 () (not (tptp.empty @t280))) % 8.12/8.34 (define @t485 () (not (tptp.empty @t56))) % 8.12/8.34 (define @t486 () (tptp.boolean_lattstr @t273)) % 8.12/8.34 (define @t487 () (tptp.complemented_lattstr @t273)) % 8.12/8.34 (define @t488 () (tptp.bounded_lattstr @t273)) % 8.12/8.34 (define @t489 () (tptp.upper_bounded_semilattstr @t273)) % 8.12/8.34 (define @t490 () (tptp.lower_bounded_semilattstr @t273)) % 8.12/8.34 (define @t491 () (tptp.modular_lattstr @t273)) % 8.12/8.34 (define @t492 () (tptp.distributive_lattstr @t273)) % 8.12/8.34 (define @t493 () (tptp.lattice @t273)) % 8.12/8.34 (define @t494 () (tptp.join_absorbing @t273)) % 8.12/8.34 (define @t495 () (tptp.meet_absorbing @t273)) % 8.12/8.34 (define @t496 () (tptp.meet_associative @t273)) % 8.12/8.34 (define @t497 () (tptp.meet_commutative @t273)) % 8.12/8.34 (define @t498 () (tptp.join_associative @t273)) % 8.12/8.34 (define @t499 () (tptp.join_commutative @t273)) % 8.12/8.34 (define @t500 () (not (tptp.empty_carrier @t273))) % 8.12/8.34 (define @t501 () (not (tptp.empty @t281))) % 8.12/8.34 (define @t502 () (tptp.distributive_relstr @t327)) % 8.12/8.34 (define @t503 () (tptp.join_complete_relstr @t327)) % 8.12/8.34 (define @t504 () (tptp.up_complete_relstr @t327)) % 8.12/8.34 (define @t505 () (tptp.bounded_relstr @t327)) % 8.12/8.34 (define @t506 () (tptp.upper_bounded_relstr @t327)) % 8.12/8.34 (define @t507 () (tptp.lower_bounded_relstr @t327)) % 8.12/8.34 (define @t508 () (tptp.complete_relstr @t327)) % 8.12/8.34 (define @t509 () (tptp.with_infima_relstr @t327)) % 8.12/8.34 (define @t510 () (tptp.with_suprema_relstr @t327)) % 8.12/8.34 (define @t511 () (tptp.antisymmetric_relstr @t327)) % 8.12/8.34 (define @t512 () (tptp.transitive_relstr @t327)) % 8.12/8.34 (define @t513 () (tptp.reflexive_relstr @t327)) % 8.12/8.34 (define @t514 () (not (tptp.empty_carrier @t327))) % 8.12/8.34 (define @t515 () (tptp.boolean_relstr @t327)) % 8.12/8.34 (define @t516 () (tptp.complemented_relstr @t327)) % 8.12/8.34 (define @t517 () (tptp.heyting_relstr @t327)) % 8.12/8.34 (define @t518 () (not (tptp.v1_yellow_3 @t327))) % 8.12/8.34 (define @t519 () (tptp.rel_str_of @t280 @t11)) % 8.12/8.34 (define @t520 () (tptp.with_infima_relstr @t314)) % 8.12/8.34 (define @t521 () (tptp.with_suprema_relstr @t314)) % 8.12/8.34 (define @t522 () (not (tptp.empty_carrier @t314))) % 8.12/8.34 (define @t523 () (tptp.v1_membered @t159)) % 8.12/8.34 (define @t524 () (tptp.v1_membered @t158)) % 8.12/8.34 (define @t525 () (tptp.v2_membered @t159)) % 8.12/8.34 (define @t526 () (tptp.ordinal @t281)) % 8.12/8.34 (define @t527 () (tptp.epsilon_connected @t281)) % 8.12/8.34 (define @t528 () (tptp.epsilon_transitive @t281)) % 8.12/8.34 (define @t529 () (not (tptp.empty @t152))) % 8.12/8.34 (define @t530 () (tptp.function @t175)) % 8.12/8.34 (define @t531 () (tptp.v1_partfun1 @t8 @t467 @t3)) % 8.12/8.34 (define @t532 () (tptp.relation @t8)) % 8.12/8.34 (define @t533 () (and @t33 @t85 @t156)) % 8.12/8.34 (define @t534 () (and @t254 @t244 @t101)) % 8.12/8.34 (define @t535 () (tptp.upper_bounded_relstr @t314)) % 8.12/8.34 (define @t536 () (tptp.v2_membered @t158)) % 8.12/8.34 (define @t537 () (tptp.v3_membered @t159)) % 8.12/8.34 (define @t538 () (tptp.v3_membered @t158)) % 8.12/8.34 (define @t539 () (tptp.v4_membered @t159)) % 8.12/8.34 (define @t540 () (tptp.v4_membered @t158)) % 8.12/8.34 (define @t541 () (tptp.v1_membered @t359)) % 8.12/8.34 (define @t542 () (tptp.v2_membered @t359)) % 8.12/8.34 (define @t543 () (tptp.v3_membered @t359)) % 8.12/8.34 (define @t544 () (tptp.transitive @t11)) % 8.12/8.34 (define @t545 () (tptp.antisymmetric @t11)) % 8.12/8.34 (define @t546 () (tptp.open_subset @t294 @t1)) % 8.12/8.34 (define @t547 () (tptp.lower_bounded_relstr @t314)) % 8.12/8.34 (define @t548 () (tptp.v4_membered @t359)) % 8.12/8.34 (define @t549 () (tptp.v1_partfun1 @t7 @t467 @t3)) % 8.12/8.34 (define @t550 () (tptp.relation @t7)) % 8.12/8.34 (define @t551 () (tptp.closed_subset @t294 @t1)) % 8.12/8.34 (define @t552 () (and @t177 @t125)) % 8.12/8.34 (define @t553 () (and @t254 @t244)) % 8.12/8.34 (define @t554 () (tptp.empty @t209)) % 8.12/8.34 (define @t555 () (and @t140 @t93)) % 8.12/8.34 (define @t556 () (tptp.antisymmetric_relstr @t305)) % 8.12/8.34 (define @t557 () (tptp.transitive_relstr @t305)) % 8.12/8.34 (define @t558 () (tptp.reflexive_relstr @t305)) % 8.12/8.34 (define @t559 () (tptp.empty @t361)) % 8.12/8.34 (define @t560 () (tptp.open_subset @t295 @t1)) % 8.12/8.34 (define @t561 () (and @t204 @t416 @t274)) % 8.12/8.34 (define @t562 () (= @t1 @t169)) % 8.12/8.34 (define @t563 () (exists @t184 (and @t202 @t562 (tptp.latt_set_smaller @t11 @t169 @t69)))) % 8.12/8.34 (define @t564 () (= @t1 @t69)) % 8.12/8.34 (define @t565 () (and @t564 @t316)) % 8.12/8.34 (define @t566 () (@var "H" $$unsorted)) % 8.12/8.34 (define @t567 () (= @t169 @t566)) % 8.12/8.34 (define @t568 () (= @t69 @t221)) % 8.12/8.34 (define @t569 () (@list @t169 @t191 @t221)) % 8.12/8.34 (define @t570 () (tptp.in @t11 @t216)) % 8.12/8.34 (define @t571 () (tptp.disjoint @t280 @t11)) % 8.12/8.34 (define @t572 () (not @t22)) % 8.12/8.34 (define @t573 () (tptp.well_ordering @t11)) % 8.12/8.34 (define @t574 () (tptp.in (tptp.ordered_pair @t69 @t11) @t1)) % 8.12/8.34 (define @t575 () (tptp.singleton @t69)) % 8.12/8.34 (define @t576 () (not @t265)) % 8.12/8.34 (define @t577 () (tptp.singleton @t11)) % 8.12/8.34 (define @t578 () (tptp.union @t11)) % 8.12/8.34 (define @t579 () (tptp.in @t1 @t69)) % 8.12/8.34 (define @t580 () (tptp.element @t1 @t447)) % 8.12/8.34 (define @t581 () (tptp.relation_dom_restriction @t69 @t1)) % 8.12/8.34 (define @t582 () (tptp.in @t11 (tptp.relation_dom @t581))) % 8.12/8.34 (define @t583 () (tptp.proper_element @t11 @t56)) % 8.12/8.34 (define @t584 () (tptp.strict_net_str @t69 @t1)) % 8.12/8.34 (define @t585 () (tptp.unordered_pair @t11 @t69)) % 8.12/8.34 (define @t586 () (tptp.set_union2 @t11 @t69)) % 8.12/8.34 (define @t587 () (tptp.set_intersection2 @t11 @t69)) % 8.12/8.34 (define @t588 () (tptp.set_difference @t11 @t69)) % 8.12/8.34 (define @t589 () (tptp.relation_composition @t169 @t191)) % 8.12/8.34 (define @t590 () (tptp.below_refl @t1 @t11 @t69)) % 8.12/8.34 (define @t591 () (and @t33 @t83 @t81 @t80 @t10 @t150 @t149)) % 8.12/8.34 (define @t592 () (and @t33 @t31 @t5 @t150 @t149)) % 8.12/8.34 (define @t593 () (@var "K" $$unsorted)) % 8.12/8.34 (define @t594 () (@var "J" $$unsorted)) % 8.12/8.34 (define @t595 () (tptp.in @t593 @t594)) % 8.12/8.34 (define @t596 () (@list @t593)) % 8.12/8.34 (define @t597 () (@list @t594)) % 8.12/8.34 (define @t598 () (= @t169 @t191)) % 8.12/8.34 (define @t599 () (@var "I" $$unsorted)) % 8.12/8.34 (define @t600 () (tptp.in @t599 @t566)) % 8.12/8.34 (define @t601 () (@list @t599)) % 8.12/8.34 (define @t602 () (@list @t566)) % 8.12/8.34 (define @t603 () (exists @t602 (and (= @t69 @t566) (tptp.in @t191 @t566) (forall @t601 (=> @t600 (tptp.in (tptp.ordered_pair @t191 @t599) @t11)))))) % 8.12/8.34 (define @t604 () (tptp.in @t219 @t221)) % 8.12/8.34 (define @t605 () (exists @t226 (and @t568 (tptp.in @t169 @t221) (forall @t224 (=> @t604 (tptp.in (tptp.ordered_pair @t169 @t219) @t11)))))) % 8.12/8.34 (define @t606 () (forall @t386 (=> (and @t171 @t605 @t171 @t603) @t598))) % 8.12/8.34 (define @t607 () (and @t140 @t177)) % 8.12/8.34 (define @t608 () (= @t169 @t577)) % 8.12/8.34 (define @t609 () (= @t69 @t577)) % 8.12/8.34 (define @t610 () (forall @t266 (=> (and @t20 @t609 @t20 @t608) @t170))) % 8.12/8.34 (define @t611 () (tptp.subset_complement @t3 @t566)) % 8.12/8.34 (define @t612 () (= @t566 @t169)) % 8.12/8.34 (define @t613 () (tptp.element @t566 @t100)) % 8.12/8.34 (define @t614 () (forall @t602 (=> @t613 (=> @t612 (= @t191 @t611))))) % 8.12/8.34 (define @t615 () (tptp.complements_of_subsets @t3 @t11)) % 8.12/8.34 (define @t616 () (tptp.in @t169 @t615)) % 8.12/8.34 (define @t617 () (tptp.element @t219 @t100)) % 8.12/8.34 (define @t618 () (forall @t224 (=> @t617 (=> (= @t219 @t69) (= @t191 (tptp.subset_complement @t3 @t219)))))) % 8.12/8.34 (define @t619 () (tptp.in @t69 @t615)) % 8.12/8.34 (define @t620 () (tptp.element @t221 @t100)) % 8.12/8.34 (define @t621 () (forall @t226 (=> @t620 (=> (= @t221 @t69) (= @t169 (tptp.subset_complement @t3 @t221)))))) % 8.12/8.34 (define @t622 () (forall @t386 (=> (and @t619 @t621 @t619 @t618) @t598))) % 8.12/8.34 (define @t623 () (and @t17 @t286)) % 8.12/8.34 (define @t624 () (forall @t386 (=> (and @t287 @t621 @t287 @t618) @t598))) % 8.12/8.34 (define @t625 () (tptp.ordinal @t69)) % 8.12/8.34 (define @t626 () (@var "S" $$unsorted)) % 8.12/8.34 (define @t627 () (@var "T" $$unsorted)) % 8.12/8.34 (define @t628 () (@var "R" $$unsorted)) % 8.12/8.34 (define @t629 () (tptp.powerset (tptp.powerset @t169))) % 8.12/8.34 (define @t630 () (@list @t628)) % 8.12/8.34 (define @t631 () (tptp.in @t169 tptp.omega)) % 8.12/8.34 (define @t632 () (tptp.ordinal @t169)) % 8.12/8.34 (define @t633 () (@var "P" $$unsorted)) % 8.12/8.34 (define @t634 () (@var "Q" $$unsorted)) % 8.12/8.34 (define @t635 () (@var "O" $$unsorted)) % 8.12/8.34 (define @t636 () (@list @t634)) % 8.12/8.34 (define @t637 () (@list @t633)) % 8.12/8.34 (define @t638 () (@list @t635)) % 8.12/8.34 (define @t639 () (@var "M" $$unsorted)) % 8.12/8.34 (define @t640 () (@var "N" $$unsorted)) % 8.12/8.34 (define @t641 () (@var "L" $$unsorted)) % 8.12/8.34 (define @t642 () (@list @t640)) % 8.12/8.34 (define @t643 () (tptp.in @t639 @t641)) % 8.12/8.34 (define @t644 () (@list @t639)) % 8.12/8.34 (define @t645 () (@list @t641)) % 8.12/8.34 (define @t646 () (tptp.succ @t169)) % 8.12/8.34 (define @t647 () (=> @t631 (forall @t201 (=> (tptp.element @t191 @t629) (not (and (not (= @t191 tptp.empty_set)) (forall @t226 (not (and (tptp.in @t221 @t191) (forall @t224 (=> (and (tptp.in @t219 @t191) (tptp.subset @t221 @t219)) (= @t219 @t221)))))))))))) % 8.12/8.34 (define @t648 () (tptp.subset @t11 @t69)) % 8.12/8.34 (define @t649 () (tptp.powerset tptp.empty_set)) % 8.12/8.34 (define @t650 () (tptp.apply @t69 @t221)) % 8.12/8.34 (define @t651 () (tptp.in @t221 @t1)) % 8.12/8.34 (define @t652 () (tptp.relation @t169)) % 8.12/8.34 (define @t653 () (and @t177 @t95 @t71)) % 8.12/8.34 (define @t654 () (forall @t596 (=> @t595 (tptp.in (tptp.ordered_pair @t169 @t593) @t11)))) % 8.12/8.34 (define @t655 () (tptp.in @t169 @t594)) % 8.12/8.34 (define @t656 () (= @t221 @t191)) % 8.12/8.34 (define @t657 () (tptp.cartesian_product2 @t1 @t69)) % 8.12/8.34 (define @t658 () (= @t191 @t221)) % 8.12/8.34 (define @t659 () (tptp.ordered_pair @t593 @t641)) % 8.12/8.34 (define @t660 () (@list @t593 @t641)) % 8.12/8.34 (define @t661 () (= @t169 @t221)) % 8.12/8.34 (define @t662 () (tptp.in @t594 @t599)) % 8.12/8.34 (define @t663 () (tptp.in @t219 @t1)) % 8.12/8.34 (define @t664 () (tptp.ordered_pair @t219 @t566)) % 8.12/8.34 (define @t665 () (= @t664 @t191)) % 8.12/8.34 (define @t666 () (@list @t219 @t566)) % 8.12/8.34 (define @t667 () (tptp.powerset @t69)) % 8.12/8.34 (define @t668 () (tptp.in @t594 @t11)) % 8.12/8.34 (define @t669 () (tptp.in @t566 @t11)) % 8.12/8.34 (define @t670 () (tptp.element @t566 @t3)) % 8.12/8.34 (define @t671 () (= @t219 @t191)) % 8.12/8.34 (define @t672 () (tptp.element @t69 @t447)) % 8.12/8.34 (define @t673 () (and @t33 @t41 @t5 @t101 @t331 @t672)) % 8.12/8.34 (define @t674 () (tptp.ordered_pair @t594 @t593)) % 8.12/8.34 (define @t675 () (@list @t594 @t593)) % 8.12/8.34 (define @t676 () (= @t191 @t169)) % 8.12/8.34 (define @t677 () (tptp.in @t566 @t1)) % 8.12/8.34 (define @t678 () (= @t69 @t191)) % 8.12/8.34 (define @t679 () (tptp.ordered_pair @t221 @t219)) % 8.12/8.34 (define @t680 () (@list @t221 @t219)) % 8.12/8.34 (define @t681 () (not (and (not (= @t221 tptp.empty_set)) (forall @t224 (not (and @t604 (forall @t602 (=> (and (tptp.in @t566 @t221) (tptp.subset @t219 @t566)) (= @t566 @t219))))))))) % 8.12/8.34 (define @t682 () (tptp.ordinal @t191)) % 8.12/8.34 (define @t683 () (tptp.subset @t11 @t169)) % 8.12/8.34 (define @t684 () (tptp.in @t191 @t100)) % 8.12/8.34 (define @t685 () (= @t221 @t169)) % 8.12/8.34 (define @t686 () (tptp.in (tptp.set_difference @t341 @t169) @t11)) % 8.12/8.34 (define @t687 () (and @t254 @t244 @t286)) % 8.12/8.34 (define @t688 () (tptp.in @t219 @t11)) % 8.12/8.34 (define @t689 () (and @t64 (tptp.element @t11 (tptp.powerset (tptp.powerset @t281))))) % 8.12/8.34 (define @t690 () (= @t169 @t611)) % 8.12/8.34 (define @t691 () (forall @t602 (=> @t613 (=> (= @t566 @t191) @t690)))) % 8.12/8.34 (define @t692 () (tptp.in @t191 @t615)) % 8.12/8.34 (define @t693 () (forall @t638 (=> (tptp.element @t635 @t100) (=> (= @t635 @t639) (= @t640 (tptp.subset_complement @t3 @t635)))))) % 8.12/8.34 (define @t694 () (= (tptp.ordered_pair @t639 @t640) @t191)) % 8.12/8.34 (define @t695 () (@list @t639 @t640)) % 8.12/8.34 (define @t696 () (tptp.cartesian_product2 @t615 @t69)) % 8.12/8.34 (define @t697 () (forall @t645 (=> (tptp.element @t641 @t100) (=> (= @t641 @t594) (= @t593 (tptp.subset_complement @t3 @t641)))))) % 8.12/8.34 (define @t698 () (= @t674 @t221)) % 8.12/8.34 (define @t699 () (tptp.subset_complement @t3 @t599)) % 8.12/8.34 (define @t700 () (tptp.element @t599 @t100)) % 8.12/8.34 (define @t701 () (forall @t601 (=> @t700 (=> (= @t599 @t219) (= @t566 @t699))))) % 8.12/8.34 (define @t702 () (tptp.cartesian_product2 @t11 @t69)) % 8.12/8.34 (define @t703 () (tptp.apply @t69 @t219)) % 8.12/8.34 (define @t704 () (tptp.in (tptp.relation_image @t69 @t191) @t11)) % 8.12/8.34 (define @t705 () (tptp.powerset @t356)) % 8.12/8.34 (define @t706 () (and @t389 @t95 @t71)) % 8.12/8.34 (define @t707 () (tptp.succ @t11)) % 8.12/8.34 (define @t708 () (= @t191 @t219)) % 8.12/8.34 (define @t709 () (= @t679 @t191)) % 8.12/8.34 (define @t710 () (exists @t224 (and (tptp.element @t219 @t3) @t688 (tptp.relstr_set_smaller @t1 @t221 @t219)))) % 8.12/8.34 (define @t711 () (tptp.singleton @t191)) % 8.12/8.34 (define @t712 () (exists @t201 (and @t241 @t676 (tptp.closed_subset @t191 @t1) @t683))) % 8.12/8.34 (define @t713 () (tptp.in @t169 @t100)) % 8.12/8.34 (define @t714 () (forall @t602 (=> @t613 (=> (= @t566 @t221) (= @t219 @t611))))) % 8.12/8.34 (define @t715 () (tptp.in @t191 @t69)) % 8.12/8.34 (define @t716 () (tptp.apply @t11 @t69)) % 8.12/8.34 (define @t717 () (= @t262 @t1)) % 8.12/8.34 (define @t718 () (exists @t27 (and @t177 @t125 @t717 (forall @t131 (=> @t171 (= @t716 @t575)))))) % 8.12/8.34 (define @t719 () (forall @t601 (=> @t700 (=> (= @t599 @t169) (= @t375 @t699))))) % 8.12/8.34 (define @t720 () (forall @t184 (not (forall @t602 (=> @t613 (=> (= @t566 @t69) @t690)))))) % 8.12/8.34 (define @t721 () (tptp.in @t1 tptp.omega)) % 8.12/8.34 (define @t722 () (tptp.element @t169 @t100)) % 8.12/8.34 (define @t723 () (= @t387 tptp.empty_set)) % 8.12/8.34 (define @t724 () (not (and @t312 @t723))) % 8.12/8.34 (define @t725 () (tptp.relation_rng @t215)) % 8.12/8.34 (define @t726 () (tptp.meet_of_subsets @t1 @t387)) % 8.12/8.34 (define @t727 () (tptp.the_carrier @t327)) % 8.12/8.34 (define @t728 () (tptp.union_of_subsets @t1 @t387)) % 8.12/8.34 (define @t729 () (forall @t131 (not (and @t332 (not (tptp.are_equipotent @t69 @t11)) @t338)))) % 8.12/8.34 (define @t730 () (forall @t174 (=> (and @t287 (tptp.subset @t169 @t69)) @t194))) % 8.12/8.34 (define @t731 () (tptp.meet_of_subsets @t3 @t11)) % 8.12/8.34 (define @t732 () (tptp.relation_dom_restriction @t69 @t11)) % 8.12/8.34 (define @t733 () (tptp.relation_image @t11 @t1)) % 8.12/8.34 (define @t734 () (tptp.relation_inverse_image @t11 @t1)) % 8.12/8.34 (define @t735 () (tptp.relation_image @t11 @t734)) % 8.12/8.34 (define @t736 () (tptp.set_intersection2 @t262 @t1)) % 8.12/8.34 (define @t737 () (tptp.subset @t1 @t263)) % 8.12/8.34 (define @t738 () (tptp.relation_of2_as_subset @t169 @t69 @t11)) % 8.12/8.34 (define @t739 () (tptp.relation_rng @t169)) % 8.12/8.34 (define @t740 () (tptp.relation_of2_as_subset @t169 @t69 @t1)) % 8.12/8.34 (define @t741 () (and @t40 @t5)) % 8.12/8.34 (define @t742 () (tptp.relation_rng @t385)) % 8.12/8.34 (define @t743 () (tptp.relation_inverse_image @t69 @t11)) % 8.12/8.34 (define @t744 () (tptp.relation_restriction @t69 @t11)) % 8.12/8.34 (define @t745 () (tptp.relation_restriction @t11 @t1)) % 8.12/8.34 (define @t746 () (tptp.relation_dom_restriction @t11 @t1)) % 8.12/8.34 (define @t747 () (tptp.relation_field @t69)) % 8.12/8.34 (define @t748 () (tptp.in @t1 @t747)) % 8.12/8.34 (define @t749 () (tptp.subset @t1 @t69)) % 8.12/8.34 (define @t750 () (tptp.the_carrier @t273)) % 8.12/8.34 (define @t751 () (tptp.element @t69 @t750)) % 8.12/8.34 (define @t752 () (tptp.element @t11 @t750)) % 8.12/8.34 (define @t753 () (tptp.element @t1 @t11)) % 8.12/8.34 (define @t754 () (tptp.relstr_set_smaller @t1 @t69 @t169)) % 8.12/8.34 (define @t755 () (tptp.the_InternalRel @t305)) % 8.12/8.34 (define @t756 () (tptp.the_carrier @t305)) % 8.12/8.34 (define @t757 () (and (= @t756 @t1) (= @t755 @t304))) % 8.12/8.34 (define @t758 () (forall @t6 @t757)) % 8.12/8.34 (define @t759 () (tptp.in @t1 @t356)) % 8.12/8.34 (define @t760 () (tptp.in @t366 @t69)) % 8.12/8.34 (define @t761 () (tptp.relation_field @t745)) % 8.12/8.34 (define @t762 () (tptp.apply @t69 @t1)) % 8.12/8.34 (define @t763 () (tptp.relation_composition @t69 @t11)) % 8.12/8.34 (define @t764 () (tptp.in @t1 (tptp.relation_dom @t763))) % 8.12/8.34 (define @t765 () (tptp.apply @t169 @t69)) % 8.12/8.34 (define @t766 () (and @t228 @t457 (tptp.relation_of2_as_subset @t169 @t1 @t11))) % 8.12/8.34 (define @t767 () (tptp.connected @t11)) % 8.12/8.34 (define @t768 () (tptp.well_ordering @t745)) % 8.12/8.34 (define @t769 () (= @t761 @t1)) % 8.12/8.34 (define @t770 () (tptp.well_orders @t11 @t1)) % 8.12/8.34 (define @t771 () (tptp.cast_to_el_of_LattPOSet @t11 @t69)) % 8.12/8.34 (define @t772 () (tptp.poset_of_lattice @t11)) % 8.12/8.34 (define @t773 () (tptp.cast_to_el_of_lattice @t11 @t69)) % 8.12/8.34 (define @t774 () (tptp.element @t69 (tptp.the_carrier @t772))) % 8.12/8.34 (define @t775 () (and (= @t11 (tptp.join_on_relstr @t1 @t69)) (tptp.ex_sup_of_relstr_set @t1 @t69))) % 8.12/8.34 (define @t776 () (and (tptp.relstr_set_smaller @t1 @t69 @t11) (forall @t184 (=> @t183 (=> @t754 @t324))))) % 8.12/8.34 (define @t777 () (tptp.well_founded_relation @t11)) % 8.12/8.34 (define @t778 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 8.12/8.34 (define @t779 () (and @t171 @t287)) % 8.12/8.34 (define @t780 () (not @t378)) % 8.12/8.34 (define @t781 () (= @t1 @t707)) % 8.12/8.34 (define @t782 () (and @t33 @t40 @t46 @t5)) % 8.12/8.34 (define @t783 () (tptp.subset_complement @t1 @t69)) % 8.12/8.34 (define @t784 () (tptp.disjoint @t11 @t69)) % 8.12/8.34 (define @t785 () (tptp.relation_dom @t385)) % 8.12/8.34 (define @t786 () (and (tptp.closed_subset @t169 @t1) @t683)) % 8.12/8.34 (define @t787 () (tptp.in @t69 @t242)) % 8.12/8.34 (define @t788 () (tptp.element @t11 @t667)) % 8.12/8.34 (define @t789 () (forall @t6 (= @t727 @t56))) % 8.12/8.34 (define @t790 () (not @t789)) % 8.12/8.34 (define @t791 () (tptp.in @t69 @t159)) % 8.12/8.34 (define @t792 () (= @t242 @t11)) % 8.12/8.34 (define @t793 () (and (tptp.in @t69 @t361) (= @t169 @t716))) % 8.12/8.34 (define @t794 () (tptp.function_inverse @t11)) % 8.12/8.34 (define @t795 () (tptp.related @t11 @t191 @t221)) % 8.12/8.34 (define @t796 () (tptp.element @t221 @t14)) % 8.12/8.34 (define @t797 () (= @t361 tptp.empty_set)) % 8.12/8.34 (define @t798 () (= @t209 tptp.empty_set)) % 8.12/8.34 (define @t799 () (= (tptp.apply @t581 @t11) (tptp.apply @t69 @t11))) % 8.12/8.34 (define @t800 () (= @t280 @t585)) % 8.12/8.34 (define @t801 () (@quantifiers_skolemize (forall @t6 (= @t56 @t727)) 0)) % 8.12/8.34 (define @t802 () (= @t304 @t755)) % 8.12/8.34 (define @t803 () (forall @t6 @t802)) % 8.12/8.34 (define @t804 () (@list @t1)) % 8.12/8.34 (define @t805 () (= @t1 @t756)) % 8.12/8.34 (define @t806 () (forall @t6 @t805)) % 8.12/8.34 (define @t807 () (and @t806 @t803)) % 8.12/8.34 (define @t808 () (tptp.powerset @t801)) % 8.12/8.34 (define @t809 () (tptp.incl_POSet @t808)) % 8.12/8.34 (define @t810 () (tptp.the_carrier @t809)) % 8.12/8.34 (define @t811 () (= @t808 @t810)) % 8.12/8.34 (define @t812 () (not @t811)) % 8.12/8.34 (define @t813 () (tptp.boole_POSet @t801)) % 8.12/8.34 (define @t814 () (= @t813 @t809)) % 8.12/8.34 (define @t815 () (not @t814)) % 8.12/8.34 (define @t816 () (= @t808 (tptp.the_carrier @t813))) % 8.12/8.34 (define @t817 () (not @t816)) % 8.12/8.34 (define @t818 () (and @t812 @t811)) % 8.12/8.34 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 8.12/8.34 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 8.12/8.34 (assume @p3 (forall @t19 (=> @t18 (=> @t15 (= @t11 (tptp.net_str_of @t1 @t14 @t13 @t12)))))) % 8.12/8.34 (assume @p4 (forall @t19 (=> @t22 @t21))) % 8.12/8.34 (assume @p5 (forall @t19 (=> @t24 (not @t23)))) % 8.12/8.34 (assume @p6 (forall @t6 (=> @t28 (forall @t27 (=> @t26 @t25))))) % 8.12/8.34 (assume @p7 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t34) (and @t33 @t31 @t30 @t29))))) % 8.12/8.34 (assume @p8 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))))) % 8.12/8.34 (assume @p9 (forall @t6 (=> @t45 (forall @t27 (=> @t26 (and @t25 @t44)))))) % 8.12/8.34 (assume @p10 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t29) (and @t33 @t31 @t46))))) % 8.12/8.34 (assume @p11 (forall @t6 (=> @t48 (forall @t27 (=> @t26 (and @t25 @t44 @t47)))))) % 8.12/8.34 (assume @p12 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t46 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))))) % 8.12/8.34 (assume @p13 (forall @t6 (=> @t51 (forall @t27 (=> @t26 (and @t25 @t44 @t50 @t47)))))) % 8.12/8.34 (assume @p14 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t29) (and @t33 @t31 @t40 @t38))))) % 8.12/8.34 (assume @p15 (forall @t6 (=> @t53 (forall @t27 (=> @t26 (and @t25 @t52 @t44 @t50 @t47)))))) % 8.12/8.34 (assume @p16 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t37 @t29) (and @t33 @t31 @t40 @t39 @t37))))) % 8.12/8.34 (assume @p17 (forall @t6 (=> @t54 (and @t28 @t45 @t48 @t51 @t53)))) % 8.12/8.34 (assume @p18 (forall @t6 (=> @t28 (forall @t27 (=> @t57 @t55))))) % 8.12/8.34 (assume @p19 (forall @t6 (=> @t45 (forall @t27 (=> @t57 (and @t55 @t58)))))) % 8.12/8.34 (assume @p20 (forall @t6 (=> @t48 (forall @t27 (=> @t57 (and @t55 @t58 @t59)))))) % 8.12/8.34 (assume @p21 (forall @t6 (=> @t51 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60)))))) % 8.12/8.34 (assume @p22 (forall @t6 (=> @t64 (forall @t27 (=> @t26 (and @t63 @t62 @t61)))))) % 8.12/8.34 (assume @p23 (forall @t6 (=> @t54 @t65))) % 8.12/8.34 (assume @p24 (forall @t6 (=> @t67 @t66))) % 8.12/8.34 (assume @p25 (forall @t6 (=> @t54 @t68))) % 8.12/8.34 (assume @p26 (forall @t75 (=> @t74 (=> (and @t71 @t73) @t72)))) % 8.12/8.34 (assume @p27 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t86) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))))) % 8.12/8.34 (assume @p28 (forall @t6 (=> @t5 (=> @t39 @t33)))) % 8.12/8.34 (assume @p29 (forall @t6 (=> @t10 (=> @t88 @t87)))) % 8.12/8.34 (assume @p30 (forall @t6 (=> @t53 @t51))) % 8.12/8.34 (assume @p31 (forall @t6 (=> @t64 @t91))) % 8.12/8.34 (assume @p32 (forall @t6 (=> (and @t93 (tptp.symmetric @t1) @t94) (and @t93 @t92)))) % 8.12/8.34 (assume @p33 (forall @t6 (=> @t54 @t93))) % 8.12/8.34 (assume @p34 (forall @t75 (=> @t97 @t95))) % 8.12/8.34 (assume @p35 (forall @t6 (=> (and @t33 @t102 @t5) (forall @t27 (=> @t101 (and @t99 @t98)))))) % 8.12/8.34 (assume @p36 (forall @t6 (=> @t5 (=> @t103 (and @t33 @t39 @t38))))) % 8.12/8.34 (assume @p37 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t37 @t30 @t29) (and @t33 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34))))) % 8.12/8.34 (assume @p38 (forall @t6 (=> @t5 (=> @t32 @t104)))) % 8.12/8.34 (assume @p39 (forall @t6 (=> @t53 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60 (tptp.v5_membered @t11))))))) % 8.12/8.34 (assume @p40 (forall @t6 (=> (and @t54 @t64) @t106))) % 8.12/8.34 (assume @p41 (forall @t6 (=> @t65 (forall @t27 (=> @t57 @t107))))) % 8.12/8.34 (assume @p42 (forall @t6 (=> @t66 @t67))) % 8.12/8.34 (assume @p43 (forall @t6 (=> @t110 @t109))) % 8.12/8.34 (assume @p44 (forall @t75 (=> @t74 (=> @t113 @t112)))) % 8.12/8.34 (assume @p45 (forall @t6 (=> @t5 (=> @t38 @t33)))) % 8.12/8.34 (assume @p46 (forall @t6 (=> @t10 (=> @t87 @t88)))) % 8.12/8.34 (assume @p47 (forall @t6 (=> @t51 @t48))) % 8.12/8.34 (assume @p48 (forall @t6 (=> @t91 @t64))) % 8.12/8.34 (assume @p49 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t46 @t102 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t102 @t30 @t29))))) % 8.12/8.34 (assume @p50 (forall @t6 (=> @t5 (=> @t115 (and @t33 @t31 @t41 @t40 @t34))))) % 8.12/8.34 (assume @p51 (forall @t6 (=> @t5 (=> @t116 @t33)))) % 8.12/8.34 (assume @p52 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t106))) % 8.12/8.34 (assume @p53 (forall @t75 (=> @t74 (=> @t112 @t113)))) % 8.12/8.34 (assume @p54 (forall @t6 (=> @t10 (=> @t118 @t117)))) % 8.12/8.34 (assume @p55 (forall @t6 (=> @t48 @t45))) % 8.12/8.34 (assume @p56 (forall @t6 (=> @t54 @t119))) % 8.12/8.34 (assume @p57 (forall @t6 (=> @t5 (=> (and @t33 @t114 @t31) (and @t33 @t31 @t120))))) % 8.12/8.34 (assume @p58 (forall @t6 (=> @t5 (=> @t103 (and @t33 @t49))))) % 8.12/8.34 (assume @p59 (forall @t6 (=> @t5 (=> (and @t33 @t31) (and @t33 @t116))))) % 8.12/8.34 (assume @p60 (forall @t19 (=> @t128 (=> (and @t125 @t127 @t126 @t123) (and @t125 @t124 @t123 @t122 @t121))))) % 8.12/8.34 (assume @p61 (forall @t6 (=> @t10 (=> @t117 @t118)))) % 8.12/8.34 (assume @p62 (forall @t6 (=> @t45 @t28))) % 8.12/8.34 (assume @p63 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t129) (and @t33 @t31 @t30 @t120))))) % 8.12/8.34 (assume @p64 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t46 @t129 @t39 @t38) (and @t33 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t116 (tptp.v1_waybel_2 @t1) (tptp.v2_waybel_2 @t1) @t39 @t38 @t34))))) % 8.12/8.34 (assume @p65 (forall @t6 (=> @t5 (=> @t49 @t130)))) % 8.12/8.34 (assume @p66 (forall @t19 (=> @t133 (forall @t131 (=> @t74 (=> @t72 (and @t71 @t73 @t70))))))) % 8.12/8.34 (assume @p67 (forall @t6 (=> @t10 (=> @t137 (and @t33 @t135 @t78 @t77 @t76 @t134))))) % 8.12/8.34 (assume @p68 (forall @t6 (=> @t5 (=> @t115 (and @t33 @t31 @t102))))) % 8.12/8.34 (assume @p69 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t31 @t41 @t40 @t39 @t38))))) % 8.12/8.34 (assume @p70 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t39 @t46 @t30 @t120) (and @t33 @t31 @t41 @t40 @t39 @t46 @t129))))) % 8.12/8.34 (assume @p71 (forall @t6 (=> @t5 (=> @t130 @t49)))) % 8.12/8.34 (assume @p72 (forall @t19 (=> @t141 (forall @t131 (=> @t74 (=> @t72 (and @t71 (not @t139) @t73 @t70))))))) % 8.12/8.34 (assume @p73 (forall @t6 (=> @t10 (=> (and @t33 @t135 @t76 @t134) @t137)))) % 8.12/8.34 (assume @p74 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t36))))) % 8.12/8.34 (assume @p75 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t34 @t102) (and @t33 @t31 @t41 @t40 @t102 @t120))))) % 8.12/8.34 (assume @p76 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t135) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t142))))) % 8.12/8.34 (assume @p77 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t37))))) % 8.12/8.34 (assume @p78 (forall @t6 (=> @t146 (forall @t27 (=> @t145 (=> @t143 (and @t144 @t143))))))) % 8.12/8.34 (assume @p79 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t147))))) % 8.12/8.34 (assume @p80 (forall @t6 (=> @t5 (=> (and @t31 @t39 @t30) (and @t33 @t31 @t39 @t37))))) % 8.12/8.34 (assume @p81 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t38 @t49 @t36 @t147) (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t147 @t42))))) % 8.12/8.34 (assume @p82 (forall @t75 (=> @t151 (= @t148 (tptp.unordered_pair_as_carrier_subset @t1 @t69 @t11))))) % 8.12/8.34 (assume @p83 (forall @t19 (= @t152 (tptp.unordered_pair @t11 @t1)))) % 8.12/8.34 (assume @p84 (forall @t19 (= @t154 @t153))) % 8.12/8.34 (assume @p85 (forall @t75 (=> @t157 (= @t155 (tptp.join_commut @t1 @t69 @t11))))) % 8.12/8.34 (assume @p86 (forall @t19 (= @t159 @t158))) % 8.12/8.34 (assume @p87 (forall @t75 (=> @t162 (= @t160 (tptp.meet_commut @t1 @t69 @t11))))) % 8.12/8.34 (assume @p88 (forall @t75 (=> @t165 (= @t163 (tptp.subset_union2 @t1 @t69 @t11))))) % 8.12/8.34 (assume @p89 (forall @t75 (=> @t165 (= @t166 (tptp.subset_intersection2 @t1 @t69 @t11))))) % 8.12/8.34 (assume @p90 (forall @t19 (=> @t168 (or @t167 (tptp.ordinal_subset @t11 @t1))))) % 8.12/8.34 (assume @p91 (forall @t19 (=> @t177 (= @t176 (forall @t174 (= @t173 (and @t171 @t170))))))) % 8.12/8.34 (assume @p92 (forall @t19 (= @t180 (and @t179 @t178)))) % 8.12/8.34 (assume @p93 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (=> @t188 (= (= @t69 @t187) (and @t186 @t185)))))))) % 8.12/8.34 (assume @p94 (forall @t6 (=> @t17 (= @t190 (tptp.identity_as_relation_of @t3))))) % 8.12/8.34 (assume @p95 (forall @t6 (=> @t93 (forall @t189 (=> @t95 (= (= @t69 @t197) (forall @t196 (= @t195 (and @t194 @t193))))))))) % 8.12/8.34 (assume @p96 (forall @t6 (=> @t206 (forall @t27 (=> @t205 (forall @t131 (= @t203 (exists @t184 (and @t202 (forall @t201 (=> @t200 (=> @t199 @t198)))))))))))) % 8.12/8.34 (assume @p97 (forall @t6 (=> @t5 (= @t207 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 8.12/8.34 (assume @p98 (forall @t6 (=> @t213 (forall @t189 (= @t212 (forall @t184 (= @t210 (exists @t201 (and (tptp.in @t191 @t209) @t208 (= @t169 (tptp.apply @t1 @t191))))))))))) % 8.12/8.34 (assume @p99 (forall @t19 (=> @t177 (forall @t131 (=> @t95 (= (= @t69 @t215) (forall @t196 (= @t195 (and @t214 (tptp.in @t192 @t11)))))))))) % 8.12/8.34 (assume @p100 (forall @t6 (=> @t93 (= @t217 (tptp.is_antisymmetric_in @t1 @t216))))) % 8.12/8.34 (assume @p101 (forall @t6 (=> @t206 (forall @t27 (=> @t205 (forall @t131 (= @t218 (forall @t184 (=> @t202 (exists @t201 (and @t200 @t199 @t198))))))))))) % 8.12/8.34 (assume @p102 (forall @t6 (=> @t206 (forall @t27 (=> @t234 (forall @t131 (=> @t232 (= @t229 (exists @t184 (and @t228 (tptp.quasi_total @t169 @t220 @t14) (tptp.relation_of2_as_subset @t169 @t220 @t14) (= @t227 (tptp.function_of_composition @t220 @t14 @t3 @t169 @t12)) (forall @t201 (=> @t200 (exists @t226 (and @t225 (forall @t224 (=> @t223 (=> @t222 (tptp.related @t11 @t191 (tptp.apply_on_set_and_struct @t220 @t11 @t169 @t219))))))))))))))))))) % 8.12/8.34 (assume @p103 (forall @t6 (=> @t213 (forall @t189 (= @t237 (forall @t184 (= @t210 (and @t236 (tptp.in @t235 @t11))))))))) % 8.12/8.34 (assume @p104 (forall @t6 (=> @t240 (= @t78 (exists @t27 (and @t150 @t239)))))) % 8.12/8.34 (assume @p105 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (forall @t131 (=> @t243 (= (= @t69 @t242) (forall @t184 (=> (tptp.in @t169 @t3) (= @t210 (forall @t201 (=> @t241 (not (and (tptp.open_subset @t191 @t1) (tptp.in @t169 @t191) (tptp.disjoint @t11 @t191)))))))))))))))) % 8.12/8.34 (assume @p106 (forall @t6 (=> @t93 (forall @t189 (= @t212 (forall @t184 (= @t210 (exists @t201 (and (tptp.in @t245 @t1) @t208))))))))) % 8.12/8.34 (assume @p107 (forall @t6 (=> @t5 (forall @t27 (=> @t246 (= @t145 (and (tptp.subset @t14 @t3) (tptp.subset @t13 @t2)))))))) % 8.12/8.34 (assume @p108 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t174 (=> (and (tptp.strict_net_str @t169 @t1) (tptp.subnetstr @t169 @t1 @t11)) (= @t248 (and (tptp.full_subrelstr @t169 @t11) (tptp.subrelstr @t169 @t11) (= (tptp.the_carrier @t169) (tptp.function_invverse_img_as_carrier_subset @t11 @t1 @t12 @t69))))))))))) % 8.12/8.34 (assume @p109 (forall @t6 (=> @t93 (forall @t189 (= @t237 (forall @t184 (= @t210 (exists @t201 (and @t193 @t208))))))))) % 8.12/8.34 (assume @p110 (forall @t6 (=> @t93 (= @t249 (tptp.is_connected_in @t1 @t216))))) % 8.12/8.34 (assume @p111 (forall @t6 (=> @t5 (forall @t27 (=> @t145 (= @t143 (= @t13 (tptp.relation_restriction_as_relation_of @t2 @t14)))))))) % 8.12/8.34 (assume @p112 (forall @t6 (=> @t251 (forall @t27 (=> @t150 (forall @t131 (= @t250 (forall @t184 (=> @t183 (=> @t210 (tptp.below @t1 @t11 @t169))))))))))) % 8.12/8.34 (assume @p113 (forall @t6 (=> @t240 (=> @t78 (forall @t27 (=> @t150 (= (= @t11 @t252) @t239))))))) % 8.12/8.34 (assume @p114 (forall @t6 (=> @t93 (= @t94 (tptp.is_transitive_in @t1 @t216))))) % 8.12/8.34 (assume @p115 (forall @t6 (=> @t251 (forall @t27 (=> @t150 (forall @t131 (= (tptp.latt_element_smaller @t1 @t11 @t69) (forall @t184 (=> @t183 (=> @t210 (tptp.below @t1 @t169 @t11))))))))))) % 8.12/8.34 (assume @p116 (forall @t6 (=> @t255 (forall @t27 (=> @t234 (forall @t131 (=> @t243 (= (= @t69 @t253) (forall @t184 (=> @t183 (= @t210 (forall @t201 (=> (tptp.point_neighbourhood @t191 @t1 @t169) (tptp.is_eventually_in @t1 @t11 @t191)))))))))))))) % 8.12/8.34 (assume @p117 (forall @t6 (=> @t213 (forall @t189 (= (tptp.apply_binary @t1 @t11 @t69) (tptp.apply @t1 @t256)))))) % 8.12/8.34 (assume @p118 (forall @t6 (=> @t255 (forall @t27 (=> @t150 (forall @t131 (=> @t243 (= @t258 (tptp.in @t11 @t257))))))))) % 8.12/8.34 (assume @p119 (forall @t261 (= (= @t169 (tptp.unordered_triple @t1 @t11 @t69)) (forall @t201 (= @t260 (not (and (not (= @t191 @t1)) (not (= @t191 @t11)) (not @t259)))))))) % 8.12/8.34 (assume @p120 (forall @t6 (= @t65 (exists @t27 (and @t177 @t125 (= @t263 @t1) (tptp.in @t262 tptp.omega)))))) % 8.12/8.34 (assume @p121 (forall @t6 (= @t68 (forall @t266 (=> (and @t265 @t264) @t170))))) % 8.12/8.34 (assume @p122 (forall @t75 (=> @t271 (and (=> (=> @t269 @t268) (= @t70 (= @t1 @t270))) (=> @t269 (or @t268 (= @t70 @t267))))))) % 8.12/8.34 (assume @p123 (forall @t19 (=> (and (tptp.strict_latt_str @t11) @t274) (= (= @t11 @t273) (and (= @t14 @t56) (forall @t131 (=> @t164 (forall @t184 (=> @t272 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t69 @t169) (tptp.subset_union2 @t1 @t69 @t169)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t69 @t169) (tptp.subset_intersection2 @t1 @t69 @t169)))))))))))) % 8.12/8.34 (assume @p124 (forall @t6 (=> @t276 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t275 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t69))))))))) % 8.12/8.34 (assume @p125 (forall @t6 (=> @t279 (forall @t27 (= (= @t11 (tptp.pair_first @t1)) (forall @t174 (=> @t278 @t277))))))) % 8.12/8.34 (assume @p126 (forall @t6 (= @t281 (tptp.set_union2 @t1 @t280)))) % 8.12/8.34 (assume @p127 (forall @t6 (=> @t244 (= @t254 (and (tptp.in @t3 @t282) (forall @t27 (=> @t286 (=> (tptp.subset @t11 @t282) (tptp.in @t284 @t282)))) (forall @t27 (=> @t101 (forall @t131 (=> @t243 (=> (and @t283 (tptp.in @t69 @t282)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t69) @t282))))))))))) % 8.12/8.34 (assume @p128 (forall @t6 (= @t93 (forall @t27 (not (and @t20 (forall @t174 (not (= @t11 @t172))))))))) % 8.12/8.34 (assume @p129 (forall @t6 (=> @t93 (forall @t27 (= @t288 (forall @t131 (=> @t287 (tptp.in (tptp.ordered_pair @t69 @t69) @t1)))))))) % 8.12/8.34 (assume @p130 (forall @t75 (= @t74 (tptp.subset @t69 @t96)))) % 8.12/8.34 (assume @p131 (forall @t19 (and (=> @t292 (= @t289 (forall @t131 (= @t287 (forall @t184 (=> @t291 @t290)))))) (=> @t268 (= @t289 @t269))))) % 8.12/8.34 (assume @p132 (forall @t6 (=> @t17 (= @t32 @t293)))) % 8.12/8.34 (assume @p133 (forall @t19 (= (= @t11 @t280) (forall @t131 (= @t287 (= @t69 @t1)))))) % 8.12/8.34 (assume @p134 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (= @t295 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t294)))))))) % 8.12/8.34 (assume @p135 (forall @t6 (=> @t244 (forall @t27 (=> @t286 (= @t297 (forall @t131 (=> @t243 (=> @t287 @t296))))))))) % 8.12/8.34 (assume @p136 (forall @t6 (=> @t5 (forall @t27 (=> @t101 (= @t99 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (not (and @t287 @t194 (forall @t201 (=> @t299 (not (and @t208 (tptp.related @t1 @t69 @t191) @t298)))))))))))))))) % 8.12/8.34 (assume @p137 (forall @t6 (=> @t93 (forall @t189 (= (= @t69 (tptp.fiber @t1 @t11)) (forall @t184 (= @t210 (and (not @t300) (tptp.in (tptp.ordered_pair @t169 @t11) @t1))))))))) % 8.12/8.34 (assume @p138 (forall @t19 (=> @t177 (= (= @t11 @t303) (and (= @t302 @t1) (forall @t174 (=> (and @t171 @t291) (= @t173 @t301)))))))) % 8.12/8.34 (assume @p139 (forall @t6 (= @t268 (forall @t27 @t21)))) % 8.12/8.34 (assume @p140 (forall @t6 (= @t305 (tptp.rel_str_of @t1 @t304)))) % 8.12/8.34 (assume @p141 (forall @t19 (= (= @t11 @t56) (forall @t131 (= @t287 (tptp.subset @t69 @t1)))))) % 8.12/8.34 (assume @p142 (forall @t6 (=> @t5 (forall @t27 (=> @t101 (= @t307 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (=> (and @t287 @t306) @t194))))))))))) % 8.12/8.34 (assume @p143 (forall @t6 (=> @t251 (=> @t309 (forall @t189 (=> @t149 (= (= @t69 @t308) (and (tptp.latt_element_smaller @t1 @t69 @t11) (forall @t184 (=> @t183 (=> (tptp.latt_element_smaller @t1 @t169 @t11) (tptp.below @t1 @t69 @t169)))))))))))) % 8.12/8.34 (assume @p144 (forall @t6 (=> @t251 (forall @t27 (= @t310 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 8.12/8.34 (assume @p145 (forall @t6 (= (tptp.centered @t1) (and @t292 (forall @t27 (not (and @t312 @t178 @t107 (= @t311 tptp.empty_set)))))))) % 8.12/8.34 (assume @p146 (forall @t6 (=> @t315 (= @t314 (tptp.rel_str_of @t3 @t313))))) % 8.12/8.34 (assume @p147 (forall @t6 (=> @t240 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t238 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t69))))))))) % 8.12/8.34 (assume @p148 (forall @t6 (=> @t279 (forall @t27 (= (= @t11 (tptp.pair_second @t1)) (forall @t174 (=> @t278 @t316))))))) % 8.12/8.34 (assume @p149 (forall @t6 (= @t90 (forall @t27 (=> @t20 @t178))))) % 8.12/8.34 (assume @p150 (forall @t6 (=> @t17 (= @t317 tptp.empty_set)))) % 8.12/8.34 (assume @p151 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= @t180 (forall @t174 (= @t318 @t173)))))))) % 8.12/8.34 (assume @p152 (forall @t19 (and (=> @t140 (= @t26 @t20)) (=> @t54 (= @t26 @t132))))) % 8.12/8.34 (assume @p153 (forall @t75 (= (= @t69 @t152) (forall @t184 (= @t210 (or (= @t169 @t1) @t300)))))) % 8.12/8.34 (assume @p154 (forall @t19 (=> @t26 (= (tptp.proper_element @t11 @t1) (not @t320))))) % 8.12/8.34 (assume @p155 (forall @t6 (=> @t244 (forall @t27 (=> @t286 (= @t322 @t321)))))) % 8.12/8.34 (assume @p156 (forall @t6 (=> @t93 (= @t323 (forall @t27 (not (and (tptp.subset @t11 @t216) @t312 (forall @t131 (not (and @t287 (tptp.disjoint (tptp.fiber @t1 @t69) @t11))))))))))) % 8.12/8.34 (assume @p157 (forall @t75 (= (= @t69 @t154) (forall @t184 (= @t210 (or @t291 @t194)))))) % 8.12/8.34 (assume @p158 (forall @t6 (=> @t5 (= @t41 @t326)))) % 8.12/8.34 (assume @p159 (forall @t6 (= @t327 (tptp.poset_of_lattice @t273)))) % 8.12/8.34 (assume @p160 (forall @t75 (= (= @t69 @t96) (forall @t184 (= @t210 (exists @t330 (and @t214 @t329 (= @t169 @t328)))))))) % 8.12/8.34 (assume @p161 (forall @t6 (=> @t244 (= @t335 (forall @t27 (=> @t286 (not (and @t334 @t297 (forall @t131 (=> @t333 (not (and @t332 (tptp.is_a_cover_of_carrier @t1 @t69) @t331)))))))))))) % 8.12/8.34 (assume @p162 (forall @t6 (=> @t315 (forall @t27 (=> @t150 (= @t336 @t11)))))) % 8.12/8.34 (assume @p163 (forall @t6 (=> @t276 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t337 (= @t275 @t69))))))))) % 8.12/8.34 (assume @p164 (forall @t6 (= @t89 (forall @t189 (not (and @t20 @t171 (not @t340) @t339 @t338)))))) % 8.12/8.34 (assume @p165 (forall @t6 (=> @t17 (= @t341 @t3)))) % 8.12/8.34 (assume @p166 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= @t179 (forall @t174 (=> @t318 @t173)))))))) % 8.12/8.34 (assume @p167 (forall @t19 (= @t179 @t342))) % 8.12/8.34 (assume @p168 (forall @t6 (=> @t93 (forall @t27 (= @t344 (forall @t131 (not (and @t332 @t343 (forall @t184 (not (and @t210 (tptp.disjoint (tptp.fiber @t1 @t169) @t69)))))))))))) % 8.12/8.34 (assume @p169 (forall @t75 (= (= @t69 @t159) (forall @t184 (= @t210 (and @t291 @t194)))))) % 8.12/8.34 (assume @p170 (forall @t6 (=> @t213 (forall @t189 (and (=> @t347 (= @t346 @t265)) (=> (not @t347) (= @t346 @t267))))))) % 8.12/8.34 (assume @p171 (forall @t6 (=> @t315 (forall @t27 (=> @t350 (= @t348 @t11)))))) % 8.12/8.34 (assume @p172 (forall @t6 (= @t64 @t91))) % 8.12/8.34 (assume @p173 (forall @t6 (=> @t93 (forall @t27 (= (= @t11 @t209) (forall @t131 (= @t287 (exists @t184 @t318)))))))) % 8.12/8.34 (assume @p174 (forall @t6 (=> @t93 (forall @t27 (= @t352 (forall @t174 (=> (and @t287 @t194 @t318 @t351) @t170))))))) % 8.12/8.34 (assume @p175 (forall @t6 (= @t353 @t1))) % 8.12/8.34 (assume @p176 (forall @t19 (= @t320 (forall @t131 (= @t287 (exists @t184 (and @t290 @t291))))))) % 8.12/8.34 (assume @p177 (forall @t6 (=> @t93 (= @t354 (and @t92 @t94 @t217 @t249 @t323))))) % 8.12/8.34 (assume @p178 (forall @t19 (= @t358 (exists @t131 (and @t95 @t71 @t111 @t357 (= @t355 @t11)))))) % 8.12/8.34 (assume @p179 (forall @t75 (= (= @t69 @t359) (forall @t184 (= @t210 (and @t291 (not @t194))))))) % 8.12/8.34 (assume @p180 (forall @t6 (=> @t5 (= @t46 (exists @t27 (and @t150 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 8.12/8.34 (assume @p181 (forall @t6 (=> @t213 (forall @t27 (= @t362 (forall @t131 (= @t287 (exists @t184 @t360)))))))) % 8.12/8.34 (assume @p182 (forall @t6 (=> @t5 (= @t41 (tptp.is_transitive_in @t2 @t3))))) % 8.12/8.34 (assume @p183 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t363 @t64 (forall @t27 (=> @t61 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t179))))))) % 8.12/8.34 (assume @p184 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (= @t364 @t283)))))) % 8.12/8.34 (assume @p185 (forall @t6 (=> @t93 (forall @t27 (= @t362 (forall @t131 (= @t287 (exists @t184 @t351)))))))) % 8.12/8.34 (assume @p186 (forall @t19 (=> @t57 (= @t365 @t359)))) % 8.12/8.34 (assume @p187 (forall @t19 (= @t366 (tptp.unordered_pair @t152 @t280)))) % 8.12/8.34 (assume @p188 (forall @t6 (=> @t93 (forall @t27 (= (tptp.well_orders @t1 @t11) (and @t288 @t368 @t352 @t367 @t344)))))) % 8.12/8.34 (assume @p189 (forall @t6 (=> (and @t33 @t5) (= (tptp.directed_relstr @t1) (forall @t27 (=> @t150 (forall @t131 (=> @t149 (exists @t184 (and @t183 @t324 @t306)))))))))) % 8.12/8.34 (assume @p190 (forall @t6 (=> @t5 (= @t40 (tptp.is_antisymmetric_in @t2 @t3))))) % 8.12/8.34 (assume @p191 (forall @t6 (= @t363 (= @t1 @t319)))) % 8.12/8.34 (assume @p192 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (= @t370 (tptp.open_subset @t369 @t1))))))) % 8.12/8.34 (assume @p193 (forall @t6 (=> @t93 (= @t216 (tptp.set_union2 @t209 @t361))))) % 8.12/8.34 (assume @p194 (forall @t6 (=> @t93 (forall @t27 (= @t367 (forall @t174 (not (and @t287 @t194 (not @t170) (not @t318) (not @t351))))))))) % 8.12/8.34 (assume @p195 (forall @t6 (=> @t93 (forall @t27 (= @t372 (tptp.set_intersection2 @t1 @t371)))))) % 8.12/8.34 (assume @p196 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= (= @t11 @t373) (forall @t174 (= @t173 @t351)))))))) % 8.12/8.34 (assume @p197 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t377 (= @t376 (and (= @t356 @t216) (= @t355 @t302) @t111 (forall @t196 (= @t193 (and (tptp.in @t169 @t216) (tptp.in @t191 @t216) (tptp.in (tptp.ordered_pair @t375 @t374) @t11))))))))))))) % 8.12/8.34 (assume @p198 (forall @t19 (= @t378 (= @t159 tptp.empty_set)))) % 8.12/8.34 (assume @p199 (forall @t6 (=> @t5 (forall @t27 (= @t383 (exists @t131 (and @t149 @t382 @t381 (forall @t184 (=> @t183 (=> (and @t380 (forall @t201 (=> @t299 (=> (tptp.relstr_set_smaller @t1 @t11 @t191) @t298)))) @t379)))))))))) % 8.12/8.34 (assume @p200 (forall @t6 (=> @t315 (= @t384 (tptp.a_1_0_filter_1 @t1))))) % 8.12/8.34 (assume @p201 (forall @t6 (=> @t213 (= @t108 (forall @t189 (=> (and @t347 (tptp.in @t69 @t209) (= @t345 (tptp.apply @t1 @t69))) @t277)))))) % 8.12/8.34 (assume @p202 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (= @t186 (forall @t184 (=> @t183 (=> @t194 @t306))))))))) % 8.12/8.34 (assume @p203 (forall @t6 (=> @t251 (= @t81 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= (tptp.join @t1 @t238 @t69) @t69))))))))) % 8.12/8.34 (assume @p204 (forall @t6 (=> @t17 (forall @t27 (=> @t286 (= @t334 (= @t341 @t284))))))) % 8.12/8.34 (assume @p205 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t95 (= (= @t69 @t385) (forall @t196 (= @t195 (exists @t226 (and (tptp.in (tptp.ordered_pair @t169 @t221) @t1) (tptp.in (tptp.ordered_pair @t221 @t191) @t11))))))))))))) % 8.12/8.34 (assume @p206 (forall @t6 (=> @t93 (forall @t27 (= @t368 (forall @t386 (=> (and @t287 @t194 @t208 @t318 @t193) (tptp.in (tptp.ordered_pair @t69 @t191) @t1)))))))) % 8.12/8.34 (assume @p207 (forall @t19 (=> @t389 (forall @t131 (=> (tptp.element @t69 @t388) (= (= @t69 @t387) (forall @t184 (=> @t272 (= @t210 (tptp.in (tptp.subset_complement @t1 @t169) @t11)))))))))) % 8.12/8.34 (assume @p208 (forall @t6 (=> @t206 (forall @t27 (=> @t205 (forall @t131 (=> @t391 (= @t390 (tptp.apply_on_structs @t11 @t1 @t12 @t69))))))))) % 8.12/8.34 (assume @p209 (forall @t19 (= @t24 (and @t179 @t392)))) % 8.12/8.34 (assume @p210 (forall @t6 (=> @t5 (forall @t27 (= @t188 (exists @t131 (and @t149 @t186 @t185 (forall @t184 (=> @t183 (=> (and @t182 (forall @t201 (=> @t299 (=> (tptp.relstr_element_smaller @t1 @t11 @t191) (tptp.related @t1 @t191 @t169))))) @t379)))))))))) % 8.12/8.34 (assume @p211 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t230 (= @t394 (and @t393 (= @t227 (tptp.relation_dom_restr_as_relation_of @t14 @t3 @t12 @t220))))))))))) % 8.12/8.34 (assume @p212 (forall @t6 (=> @t213 (=> @t108 (= @t395 @t373))))) % 8.12/8.34 (assume @p213 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (= @t382 (forall @t184 (=> @t183 (=> @t194 @t181))))))))) % 8.12/8.34 (assume @p214 (forall @t6 (=> @t5 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t325 (tptp.in @t256 @t2))))))))) % 8.12/8.34 (assume @p215 (forall @t6 (=> @t93 (= @t92 (tptp.is_reflexive_in @t1 @t216))))) % 8.12/8.34 (assume @p216 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (=> @t383 (= (= @t69 @t396) (and @t382 @t381)))))))) % 8.12/8.34 (assume @p217 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t394 (= @t397 (and (tptp.full_subrelstr @t69 @t11) @t393))))))))) % 8.12/8.34 (assume @p218 (forall @t19 (=> @t128 (and @t399 (tptp.rel_str @t398))))) % 8.12/8.34 (assume @p219 (forall @t261 (=> @t405 (and @t401 (tptp.net_str @t400 @t1))))) % 8.12/8.34 (assume @p220 (forall @t75 (=> @t413 (and @t407 (tptp.latt_str @t406))))) % 8.12/8.34 (assume @p221 (forall @t261 (=> @t417 (tptp.element @t415 (tptp.the_carrier @t414))))) % 8.12/8.34 (assume @p222 true) % 8.12/8.34 (assume @p223 (forall @t19 (=> (and @t33 @t254 @t244 @t204 @t144 @t233 @t16) (tptp.element @t253 @t100)))) % 8.12/8.34 (assume @p224 (forall @t19 (=> @t251 (tptp.element @t308 @t3)))) % 8.12/8.34 (assume @p225 (forall @t19 (=> @t251 (tptp.element @t310 @t3)))) % 8.12/8.34 (assume @p226 (forall @t261 (=> @t420 (tptp.element @t418 @t96)))) % 8.12/8.34 (assume @p227 (forall @t6 (and @t421 (tptp.latt_str @t273)))) % 8.12/8.34 (assume @p228 (forall @t75 (=> (and @t33 @t156 @t150 @t149) (tptp.element @t275 @t3)))) % 8.12/8.34 (assume @p229 (forall @t6 (tptp.element @t422 @t388))) % 8.12/8.34 (assume @p230 (forall @t6 (=> @t17 (tptp.element @t317 @t100)))) % 8.12/8.34 (assume @p231 (forall @t19 (=> @t93 (tptp.relation_of2_as_subset @t423 @t11 @t11)))) % 8.12/8.34 (assume @p232 (forall @t19 (=> @t424 (tptp.element @t295 @t100)))) % 8.12/8.34 (assume @p233 (forall @t261 (=> @t429 (tptp.element @t425 @t14)))) % 8.12/8.34 (assume @p234 (forall @t6 (tptp.relation @t303))) % 8.12/8.34 (assume @p235 (forall @t19 (=> @t5 (tptp.element @t396 @t3)))) % 8.12/8.34 (assume @p236 (forall @t6 (and (tptp.reflexive @t304) (tptp.antisymmetric @t304) (tptp.transitive @t304) (tptp.v1_partfun1 @t304 @t1 @t1) (tptp.relation_of2_as_subset @t304 @t1 @t1)))) % 8.12/8.34 (assume @p237 (forall @t432 (=> @t431 (tptp.element @t430 @t69)))) % 8.12/8.34 (assume @p238 (forall @t6 (=> @t213 (and (tptp.relation @t395) (tptp.function @t395))))) % 8.12/8.34 (assume @p239 (forall @t6 (=> @t315 (and (tptp.reflexive @t313) (tptp.antisymmetric @t313) (tptp.transitive @t313) (tptp.v1_partfun1 @t313 @t3 @t3) (tptp.relation_of2_as_subset @t313 @t3 @t3))))) % 8.12/8.34 (assume @p240 (forall @t75 (=> (and @t33 @t161 @t150 @t149) (tptp.element @t238 @t3)))) % 8.12/8.34 (assume @p241 (forall @t6 (=> @t17 (tptp.element @t341 @t100)))) % 8.12/8.34 (assume @p242 (forall @t75 (=> @t151 (tptp.element @t148 @t100)))) % 8.12/8.34 (assume @p243 (forall @t6 (tptp.element @t353 @t56))) % 8.12/8.34 (assume @p244 (forall @t19 (=> @t93 (tptp.relation @t372)))) % 8.12/8.34 (assume @p245 (forall @t19 (=> @t5 (tptp.element @t187 @t3)))) % 8.12/8.34 (assume @p246 (forall @t6 (and @t433 (tptp.rel_str @t305)))) % 8.12/8.34 (assume @p247 (forall @t6 (=> @t315 (and @t437 @t436 @t435 @t434 (tptp.rel_str @t314))))) % 8.12/8.34 (assume @p248 (forall @t75 (=> @t157 (tptp.element @t155 @t3)))) % 8.12/8.34 (assume @p249 (forall @t19 (=> @t57 (tptp.element @t365 @t56)))) % 8.12/8.34 (assume @p250 (forall @t75 (=> (and @t33 @t17 @t204 @t16 @t391) (tptp.element @t390 @t3)))) % 8.12/8.34 (assume @p251 (forall @t6 (=> @t5 (tptp.element @t207 @t3)))) % 8.12/8.34 (assume @p252 (forall @t6 (and @t438 (tptp.rel_str @t327)))) % 8.12/8.34 (assume @p253 (forall @t261 (=> @t441 (tptp.element @t439 @t14)))) % 8.12/8.34 (assume @p254 (forall @t19 (=> (and @t33 @t79 @t10 @t150) (tptp.element @t336 @t349)))) % 8.12/8.34 (assume @p255 (forall @t75 (=> @t162 (tptp.element @t160 @t3)))) % 8.12/8.34 (assume @p256 (forall @t6 (=> @t93 @t442))) % 8.12/8.34 (assume @p257 (forall @t75 (=> @t74 (tptp.element @t270 @t56)))) % 8.12/8.34 (assume @p258 (forall @t75 (=> @t165 (tptp.element @t163 @t56)))) % 8.12/8.34 (assume @p259 (forall @t19 (=> (and @t33 @t79 @t10 @t350) (tptp.element @t348 @t3)))) % 8.12/8.34 (assume @p260 (forall @t6 (=> @t240 (tptp.element @t252 @t3)))) % 8.12/8.34 (assume @p261 (forall @t261 (=> @t444 (tptp.element @t443 @t100)))) % 8.12/8.34 (assume @p262 (forall @t19 (=> @t446 @t445))) % 8.12/8.34 (assume @p263 (forall @t75 (=> @t74 (tptp.element @t448 @t447)))) % 8.12/8.34 (assume @p264 (forall @t19 (=> @t389 (tptp.element @t449 @t56)))) % 8.12/8.34 (assume @p265 (forall @t75 (=> @t165 (tptp.element @t166 @t56)))) % 8.12/8.34 (assume @p266 (forall @t6 (and (tptp.v1_partfun1 @t450 @t1 @t1) (tptp.relation_of2_as_subset @t450 @t1 @t1)))) % 8.12/8.34 (assume @p267 (forall @t19 (=> @t424 (tptp.element @t242 @t100)))) % 8.12/8.34 (assume @p268 (forall @t6 @t451)) % 8.12/8.34 (assume @p269 (forall @t19 (=> @t389 (tptp.element @t452 @t56)))) % 8.12/8.34 (assume @p270 (forall @t75 (=> @t165 (tptp.element @t453 @t56)))) % 8.12/8.34 (assume @p271 (forall @t75 (=> @t18 (and @t454 (tptp.subnetstr @t247 @t1 @t11))))) % 8.12/8.34 (assume @p272 (forall @t459 (=> @t458 (and (tptp.function @t455) (tptp.quasi_total @t455 @t1 @t69) (tptp.relation_of2_as_subset @t455 @t1 @t69))))) % 8.12/8.34 (assume @p273 (forall @t6 (=> @t17 (and (tptp.function @t190) (tptp.quasi_total @t190 @t3 @t3) (tptp.relation_of2_as_subset @t190 @t3 @t3))))) % 8.12/8.34 (assume @p274 (forall @t19 (=> @t93 @t460))) % 8.12/8.34 (assume @p275 (forall @t19 (=> @t389 (tptp.element @t387 @t388)))) % 8.12/8.34 (assume @p276 (forall @t19 (=> (and @t33 @t10 @t204 @t274) (and (tptp.strict_latt_str @t414) (tptp.latt_str @t414))))) % 8.12/8.34 (assume @p277 (forall @t261 (=> @t462 (tptp.element @t461 @t11)))) % 8.12/8.34 (assume @p278 (forall @t19 (=> @t177 @t463))) % 8.12/8.34 (assume @p279 (forall @t261 (=> @t74 (tptp.relation_of2_as_subset @t464 @t1 @t11)))) % 8.12/8.34 (assume @p280 (forall @t6 (=> @t315 (tptp.relation @t384)))) % 8.12/8.34 (assume @p281 (forall @t6 (=> @t161 @t17))) % 8.12/8.34 (assume @p282 (forall @t6 (=> @t5 @t17))) % 8.12/8.34 (assume @p283 (forall @t6 (=> @t244 @t17))) % 8.12/8.34 (assume @p284 (forall @t6 (=> @t17 (forall @t27 (=> @t16 @t246))))) % 8.12/8.34 (assume @p285 (forall @t6 (=> @t156 @t17))) % 8.12/8.34 (assume @p286 (forall @t6 (=> @t10 (and @t161 @t156)))) % 8.12/8.34 (assume @p287 (forall @t19 (=> @t465 (forall @t131 (=> @t258 @t243))))) % 8.12/8.34 (assume @p288 (forall @t6 (=> @t5 (forall @t27 (=> @t145 @t246))))) % 8.12/8.34 (assume @p289 (forall @t19 (=> @t18 (forall @t131 (=> @t394 @t230))))) % 8.12/8.34 (assume @p290 (forall @t75 (=> @t271 @t97))) % 8.12/8.34 (assume @p291 (forall @t19 (=> @t466 (forall @t131 (=> @t229 @t232))))) % 8.12/8.34 (assume @p292 (forall @t6 (=> @t161 (and @t469 @t468 (tptp.relation_of2_as_subset @t7 @t467 @t3))))) % 8.12/8.34 (assume @p293 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 8.12/8.34 (assume @p294 (forall @t6 (=> @t244 (tptp.element @t282 @t285)))) % 8.12/8.34 (assume @p295 (forall @t19 (=> @t18 (and @t471 @t470 (tptp.relation_of2_as_subset @t12 @t14 @t3))))) % 8.12/8.34 (assume @p296 (forall @t6 (=> @t156 (and @t473 @t472 (tptp.relation_of2_as_subset @t8 @t467 @t3))))) % 8.12/8.34 (assume @p297 (exists @t6 @t161)) % 8.12/8.34 (assume @p298 (exists @t6 @t5)) % 8.12/8.34 (assume @p299 (exists @t6 @t244)) % 8.12/8.34 (assume @p300 (exists @t6 @t17)) % 8.12/8.34 (assume @p301 (forall @t6 (=> @t17 (exists @t27 @t16)))) % 8.12/8.34 (assume @p302 (exists @t6 @t156)) % 8.12/8.34 (assume @p303 (exists @t6 @t10)) % 8.12/8.34 (assume @p304 (forall @t19 (=> @t465 (exists @t131 @t258)))) % 8.12/8.34 (assume @p305 (forall @t19 (exists @t131 @t74))) % 8.12/8.34 (assume @p306 (forall @t6 (exists @t27 @t26))) % 8.12/8.34 (assume @p307 (forall @t6 (=> @t5 (exists @t27 @t145)))) % 8.12/8.34 (assume @p308 (forall @t19 (=> @t18 (exists @t131 @t394)))) % 8.12/8.34 (assume @p309 (forall @t19 (exists @t131 @t271))) % 8.12/8.34 (assume @p310 (forall @t19 (=> @t466 (exists @t131 @t229)))) % 8.12/8.34 (assume @p311 (forall @t19 (=> @t107 @t474))) % 8.12/8.34 (assume @p312 (forall @t19 (=> @t476 (and (tptp.empty @t475) (tptp.relation @t475))))) % 8.12/8.34 (assume @p313 (forall @t19 (=> @t65 @t474))) % 8.12/8.34 (assume @p314 (forall @t6 (=> @t54 (and (tptp.empty @t373) @t442)))) % 8.12/8.34 (assume @p315 (forall @t19 (=> @t65 (tptp.finite @t359)))) % 8.12/8.34 (assume @p316 (and @t479 @t478 @t477)) % 8.12/8.34 (assume @p317 (forall @t19 (=> (and @t93 @t68 @t107) (tptp.finite @t211)))) % 8.12/8.34 (assume @p318 (forall @t19 (=> @t481 (and @t460 (tptp.relation_empty_yielding @t197))))) % 8.12/8.34 (assume @p319 (forall @t6 (=> (and @t116 @t5) (and (not (tptp.empty @t2)) @t482)))) % 8.12/8.34 (assume @p320 (forall @t19 (=> @t483 (tptp.finite @t96)))) % 8.12/8.34 (assume @p321 (forall @t19 (=> (and @t33 @t17 @t204 @t16) (and (not (tptp.empty @t12)) (tptp.relation @t12) @t471 @t470)))) % 8.12/8.34 (assume @p322 (forall @t75 (=> (and @t17 @t144 @t16) (and (tptp.transitive_relstr @t247) @t454 (tptp.full_subnetstr @t247 @t1 @t11))))) % 8.12/8.34 (assume @p323 (forall @t6 (and @t484 (tptp.finite @t280)))) % 8.12/8.34 (assume @p324 (forall @t6 (and @t485 (tptp.cup_closed @t56) (tptp.diff_closed @t56) (tptp.preboolean @t56)))) % 8.12/8.34 (assume @p325 (forall @t19 (=> (and @t93 @t68 @t177 @t125) (and @t445 (tptp.function @t385))))) % 8.12/8.34 (assume @p326 (forall @t6 (and @t500 @t421 @t499 @t498 @t497 @t496 @t495 @t494 @t493 @t492 @t491 @t490 @t489 @t488 @t487 @t486 (tptp.complete_latt_str @t273)))) % 8.12/8.34 (assume @p327 (forall @t6 (and @t500 @t421))) % 8.12/8.34 (assume @p328 (forall @t19 (=> (and @t140 @t128) (and (not (tptp.empty_carrier @t398)) @t399)))) % 8.12/8.34 (assume @p329 (forall @t6 @t501)) % 8.12/8.34 (assume @p330 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 8.12/8.34 (assume @p331 (forall @t6 (=> @t17 (and (tptp.empty @t317) (tptp.v1_membered @t317) (tptp.v2_membered @t317) (tptp.v3_membered @t317) (tptp.v4_membered @t317) (tptp.v5_membered @t317))))) % 8.12/8.34 (assume @p332 (forall @t19 (=> @t446 (tptp.relation @t159)))) % 8.12/8.34 (assume @p333 (forall @t6 (=> @t206 (not @t293)))) % 8.12/8.34 (assume @p334 (forall @t6 @t485)) % 8.12/8.34 (assume @p335 (forall @t6 (and @t514 @t438 @t513 @t512 @t511 @t510 @t509 @t508 @t507 @t506 @t505 @t504 @t503 @t502))) % 8.12/8.34 (assume @p336 (forall @t6 (and @t514 @t438 @t513 @t512 @t511 @t507 @t506 @t505 @t504 @t503 @t518 @t502 @t517 @t516 @t515 @t510 @t509 @t508))) % 8.12/8.34 (assume @p337 @t479) % 8.12/8.34 (assume @p338 (forall @t19 (=> (tptp.relation_of2 @t11 @t280 @t280) (and (not (tptp.empty_carrier @t519)) (tptp.strict_rel_str @t519) (tptp.trivial_carrier @t519))))) % 8.12/8.34 (assume @p339 (forall @t6 (=> @t315 (and @t522 @t437 @t436 @t435 @t434 @t521 @t520)))) % 8.12/8.34 (assume @p340 (forall @t19 (not (tptp.empty @t366)))) % 8.12/8.34 (assume @p341 (forall @t19 (=> @t28 @t523))) % 8.12/8.34 (assume @p342 (forall @t19 (=> @t28 @t524))) % 8.12/8.34 (assume @p343 (forall @t19 (=> @t45 (and @t523 @t525)))) % 8.12/8.34 (assume @p344 (forall @t6 (=> (and @t64 @t105) (and @t501 @t528 @t527 @t526 (tptp.natural @t281))))) % 8.12/8.34 (assume @p345 (forall @t19 (and @t529 (tptp.finite @t152)))) % 8.12/8.34 (assume @p346 (forall @t6 (and @t451 @t530))) % 8.12/8.34 (assume @p347 (forall @t6 (=> @t533 (and @t532 @t473 @t472 (tptp.v1_binop_1 @t8 @t3) @t531)))) % 8.12/8.34 (assume @p348 (forall @t6 (and @t500 @t421 @t499 @t498 @t497 @t496 @t495 @t494 @t493))) % 8.12/8.34 (assume @p349 (forall @t6 (=> (and @t31 @t41 @t40 @t5) (and @t482 (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 8.12/8.34 (assume @p350 (and @t478 @t477 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t479 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 8.12/8.34 (assume @p351 (forall @t6 (and @t451 @t530 (tptp.reflexive @t175) (tptp.symmetric @t175) (tptp.antisymmetric @t175) (tptp.transitive @t175)))) % 8.12/8.34 (assume @p352 (forall @t6 (=> @t206 (not (tptp.empty @t341))))) % 8.12/8.34 (assume @p353 (forall @t19 (=> @t446 (tptp.relation @t154)))) % 8.12/8.34 (assume @p354 (forall @t6 @t484)) % 8.12/8.34 (assume @p355 (forall @t19 (=> @t534 (tptp.closed_subset @t242 @t1)))) % 8.12/8.34 (assume @p356 (forall @t6 (=> @t140 (and @t514 (not (tptp.trivial_carrier @t327)) @t438 @t513 @t512 @t511 @t507 @t506 @t505 @t504 @t503 @t518 @t502 @t517 @t516 @t515 @t510 @t509 @t508)))) % 8.12/8.34 (assume @p357 (forall @t19 (=> @t140 (not (tptp.empty @t154))))) % 8.12/8.34 (assume @p358 (forall @t6 (=> (and @t33 @t79 @t77 @t10) (and @t522 @t437 @t436 @t435 @t434 @t535 @t521 @t520)))) % 8.12/8.34 (assume @p359 (forall @t19 (=> @t45 (and @t524 @t536)))) % 8.12/8.34 (assume @p360 (forall @t19 (=> @t48 (and @t523 @t525 @t537)))) % 8.12/8.34 (assume @p361 (forall @t19 (=> @t48 (and @t524 @t536 @t538)))) % 8.12/8.34 (assume @p362 (forall @t19 (=> @t51 (and @t523 @t525 @t537 @t539)))) % 8.12/8.34 (assume @p363 (forall @t19 (=> @t51 (and @t524 @t536 @t538 @t540)))) % 8.12/8.34 (assume @p364 (forall @t19 (=> @t53 (and @t523 @t525 @t537 @t539 (tptp.v5_membered @t159))))) % 8.12/8.34 (assume @p365 (forall @t19 (=> @t53 (and @t524 @t536 @t538 @t540 (tptp.v5_membered @t158))))) % 8.12/8.34 (assume @p366 (forall @t19 (=> @t28 @t541))) % 8.12/8.34 (assume @p367 (forall @t19 (=> @t45 (and @t541 @t542)))) % 8.12/8.34 (assume @p368 (forall @t19 (=> @t48 (and @t541 @t542 @t543)))) % 8.12/8.34 (assume @p369 (forall @t6 (=> @t109 (and @t442 (tptp.function @t373))))) % 8.12/8.34 (assume @p370 (forall @t6 (=> (and @t33 @t84 @t156) (and @t532 @t473 @t472 (tptp.v2_binop_1 @t8 @t3) @t531)))) % 8.12/8.34 (assume @p371 (forall @t6 (and @t500 @t421 @t499 @t498 @t497 @t496 @t495 @t494 @t493 @t492 @t491 @t490 @t489 @t488 @t487 @t486))) % 8.12/8.34 (assume @p372 (forall @t75 (=> (and @t140 @t125 @t412 @t411 @t71 @t410 @t409) (and (not (tptp.empty_carrier @t406)) @t407)))) % 8.12/8.34 (assume @p373 (forall @t19 (=> (and @t126 @t545 @t544 @t127 @t128) (and @t399 (tptp.reflexive_relstr @t398) (tptp.transitive_relstr @t398) (tptp.antisymmetric_relstr @t398))))) % 8.12/8.34 (assume @p374 (forall @t6 (=> @t64 (and @t501 @t528 @t527 @t526)))) % 8.12/8.34 (assume @p375 (forall @t19 (=> @t446 (tptp.relation @t359)))) % 8.12/8.34 (assume @p376 (forall @t19 @t529)) % 8.12/8.34 (assume @p377 (forall @t19 (=> (and @t254 @t244 @t370 @t101) @t546))) % 8.12/8.34 (assume @p378 (forall @t19 (=> @t140 (not (tptp.empty @t153))))) % 8.12/8.34 (assume @p379 (forall @t6 (=> (and @t33 @t79 @t78 @t10) (and @t522 @t437 @t436 @t435 @t434 @t547 @t521 @t520)))) % 8.12/8.34 (assume @p380 (forall @t19 (=> @t51 (and @t541 @t542 @t543 @t548)))) % 8.12/8.34 (assume @p381 (forall @t19 (=> @t53 (and @t541 @t542 @t543 @t548 (tptp.v5_membered @t359))))) % 8.12/8.34 (assume @p382 (forall @t19 (=> @t213 (and @t460 (tptp.function @t197))))) % 8.12/8.34 (assume @p383 (forall @t6 (=> (and @t33 @t83 @t161) (and @t550 @t469 @t468 (tptp.v1_binop_1 @t7 @t3) @t549)))) % 8.12/8.34 (assume @p384 (forall @t6 (=> @t315 (and @t522 @t437 @t436 @t435 @t434)))) % 8.12/8.34 (assume @p385 (forall @t6 (=> @t64 (and (tptp.epsilon_transitive @t319) (tptp.epsilon_connected @t319) (tptp.ordinal @t319))))) % 8.12/8.34 (assume @p386 (and @t479 @t478)) % 8.12/8.34 (assume @p387 (forall @t19 (=> @t141 (not (tptp.empty @t96))))) % 8.12/8.34 (assume @p388 (forall @t19 (=> (and @t254 @t244 @t364 @t101) @t551))) % 8.12/8.34 (assume @p389 (forall @t6 (=> @t309 (and @t522 @t437 @t436 @t435 @t434 @t547 @t535 (tptp.bounded_relstr @t314) @t521 @t520 (tptp.complete_relstr @t314))))) % 8.12/8.34 (assume @p390 (forall @t19 (=> @t552 (and @t463 (tptp.function @t215))))) % 8.12/8.34 (assume @p391 (forall @t6 (=> (and @t33 @t82 @t161) (and @t550 @t469 @t468 (tptp.v2_binop_1 @t7 @t3) @t549)))) % 8.12/8.34 (assume @p392 (forall @t6 (=> @t553 (tptp.closed_subset @t341 @t1)))) % 8.12/8.34 (assume @p393 (forall @t6 (=> @t555 (not @t554)))) % 8.12/8.34 (assume @p394 (forall @t6 (and @t433 @t558 @t557 @t556))) % 8.12/8.34 (assume @p395 (and @t479 (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))) % 8.12/8.34 (assume @p396 (forall @t6 (=> @t555 (not @t559)))) % 8.12/8.34 (assume @p397 (forall @t19 (=> @t534 @t560))) % 8.12/8.34 (assume @p398 (forall @t261 (=> (and @t17 @t133 @t404 @t228 @t403 @t402) (and (not (tptp.empty_carrier @t400)) @t401)))) % 8.12/8.34 (assume @p399 (forall @t6 (=> @t140 (and (not (tptp.empty_carrier @t305)) @t433 @t558 @t557 @t556)))) % 8.12/8.35 (assume @p400 (forall @t6 (=> @t54 (and @t554 (tptp.relation @t209))))) % 8.12/8.35 (assume @p401 (forall @t6 (and @t514 @t438 @t513 @t512 @t511))) % 8.12/8.35 (assume @p402 (forall @t6 (=> @t54 (and @t559 (tptp.relation @t361))))) % 8.12/8.35 (assume @p403 (forall @t6 (and @t514 @t438 @t513 @t512 @t511 @t507 @t506 @t505 @t510 @t509 @t508))) % 8.12/8.35 (assume @p404 (forall @t19 (=> @t483 (tptp.finite @t154)))) % 8.12/8.35 (assume @p405 (forall @t19 (=> @t476 (and (tptp.empty @t385) @t445)))) % 8.12/8.35 (assume @p406 (forall @t6 (and @t514 @t438 @t513 @t512 @t511 @t510 @t509 @t508 @t507 @t506 @t505 @t504 @t503 @t502 @t516))) % 8.12/8.35 (assume @p407 (forall @t19 (=> @t561 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t174 (and @t391 @t202 (= @t1 (tptp.ordered_pair_as_product_element @t14 @t14 @t69 @t169)) (tptp.below_refl @t11 @t69 @t169))))))) % 8.12/8.35 (assume @p408 (forall @t75 (=> (and @t204 @t274) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t69)) @t563)))) % 8.12/8.35 (assume @p409 (forall @t75 (=> (and @t204 @t416 (tptp.complete_latt_str @t11) @t274) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t69)) @t563)))) % 8.12/8.35 (assume @p410 (forall @t19 (=> @t128 (forall @t174 (=> (= @t398 (tptp.rel_str_of @t69 @t169)) @t565))))) % 8.12/8.35 (assume @p411 (forall @t261 (=> @t405 (forall (@list @t191 @t221 @t219 @t566) (=> (= @t400 (tptp.net_str_of @t191 @t221 @t219 @t566)) (and (= @t1 @t191) (= @t11 @t221) (= @t69 @t219) @t567)))))) % 8.12/8.35 (assume @p412 (forall @t75 (=> @t413 (forall @t569 (=> (= @t406 (tptp.latt_str_of @t169 @t191 @t221)) (and @t562 (= @t11 @t191) @t568)))))) % 8.12/8.35 (assume @p413 (forall @t19 (= (tptp.set_union2 @t1 @t1) @t1))) % 8.12/8.35 (assume @p414 (forall @t19 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 8.12/8.35 (assume @p415 (forall @t75 (=> @t165 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 8.12/8.35 (assume @p416 (forall @t75 (=> @t165 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 8.12/8.35 (assume @p417 (forall @t19 (=> @t57 (= (tptp.subset_complement @t1 @t365) @t11)))) % 8.12/8.35 (assume @p418 (forall @t6 (=> @t93 (= (tptp.relation_inverse @t373) @t1)))) % 8.12/8.35 (assume @p419 (forall @t19 (=> @t389 (= (tptp.complements_of_subsets @t1 @t387) @t11)))) % 8.12/8.35 (assume @p420 (forall @t19 (not (tptp.proper_subset @t1 @t1)))) % 8.12/8.35 (assume @p421 (forall @t6 (=> @t93 (= @t92 (forall @t27 (=> @t570 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 8.12/8.35 (assume @p422 (forall @t6 (not (= @t280 tptp.empty_set)))) % 8.12/8.35 (assume @p423 (forall @t19 (=> @t22 (= (tptp.set_union2 @t280 @t11) @t11)))) % 8.12/8.35 (assume @p424 (forall @t19 (not (and @t571 @t22)))) % 8.12/8.35 (assume @p425 (forall @t19 (=> @t572 @t571))) % 8.12/8.35 (assume @p426 (forall @t19 (=> @t177 (tptp.subset (tptp.relation_dom @t215) @t262)))) % 8.12/8.35 (assume @p427 (forall @t6 (=> @t93 (= @t94 (forall @t266 (=> (and @t265 @t318) @t264)))))) % 8.12/8.35 (assume @p428 (forall @t19 (= (tptp.subset @t280 @t11) @t22))) % 8.12/8.35 (assume @p429 (forall @t19 (=> @t177 (not (and @t573 (tptp.equipotent @t1 @t302) (forall @t131 (=> @t95 (not (tptp.well_orders @t69 @t1))))))))) % 8.12/8.35 (assume @p430 (forall @t19 (= (= @t359 tptp.empty_set) @t179))) % 8.12/8.35 (assume @p431 (forall @t19 (=> @t57 (forall @t131 (=> @t287 @t171))))) % 8.12/8.35 (assume @p432 (forall @t6 (=> @t93 (= @t217 (forall @t189 (=> (and @t265 @t574) @t277)))))) % 8.12/8.35 (assume @p433 (forall @t75 (=> @t179 (or @t171 (tptp.subset @t1 (tptp.set_difference @t11 @t575)))))) % 8.12/8.35 (assume @p434 (forall @t6 (=> @t206 (forall @t27 (=> @t101 (forall @t131 (=> @t149 (= (tptp.in @t69 @t294) @t338)))))))) % 8.12/8.35 (assume @p435 (forall @t6 (=> @t93 (= @t249 (forall @t189 (not (and @t570 (tptp.in @t69 @t216) @t339 @t576 (not @t574)))))))) % 8.12/8.35 (assume @p436 (forall @t19 (= (tptp.subset @t1 @t577) (or @t268 (= @t1 @t577))))) % 8.12/8.35 (assume @p437 (forall @t19 (=> @t22 (tptp.subset @t1 @t578)))) % 8.12/8.35 (assume @p438 (forall @t261 (= (tptp.in @t366 (tptp.cartesian_product2 @t69 @t169)) (and @t579 (tptp.in @t11 @t169))))) % 8.12/8.35 (assume @p439 (forall @t19 (=> @t342 @t580))) % 8.12/8.35 (assume @p440 (forall @t75 (=> @t377 (= @t582 (and (tptp.in @t11 @t356) @t20))))) % 8.12/8.35 (assume @p441 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t135 @t142 @t78 @t77))) % 8.12/8.35 (assume @p442 (forall @t6 (=> (and @t33 @t31 @t41 @t5) (exists @t27 (and @t101 @t133 @t98 @t307))))) % 8.12/8.35 (assume @p443 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))) % 8.12/8.35 (assume @p444 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t134))) % 8.12/8.35 (assume @p445 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t102))) % 8.12/8.35 (assume @p446 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t135 @t78 @t77 @t76 @t134 @t136))) % 8.12/8.35 (assume @p447 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29))) % 8.12/8.35 (assume @p448 (exists @t6 (and @t140 @t90 @t89 @t64 @t105))) % 8.12/8.35 (assume @p449 (exists @t6 (and @t140 @t65))) % 8.12/8.35 (assume @p450 (exists @t6 @t213)) % 8.12/8.35 (assume @p451 (forall @t19 (exists @t131 (and @t74 @t95 @t71 @t70)))) % 8.12/8.35 (assume @p452 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t34))) % 8.12/8.35 (assume @p453 (exists @t6 (and @t140 @t28 @t45 @t48 @t51 @t53))) % 8.12/8.35 (assume @p454 (exists @t6 (and @t5 @t4))) % 8.12/8.35 (assume @p455 (exists @t6 @t119)) % 8.12/8.35 (assume @p456 (exists @t6 (and @t90 @t89 @t64 @t363))) % 8.12/8.35 (assume @p457 (exists @t6 (and @t93 @t68 @t108 @t54))) % 8.12/8.35 (assume @p458 (exists @t6 (and @t93 @t480 @t68))) % 8.12/8.35 (assume @p459 (exists @t6 (and @t54 @t93))) % 8.12/8.35 (assume @p460 (forall @t6 (=> @t140 (exists @t27 (and @t57 @t133))))) % 8.12/8.35 (assume @p461 (forall @t6 (=> @t553 (exists @t27 (and @t101 @t364))))) % 8.12/8.35 (assume @p462 (forall @t6 (=> @t5 (exists @t27 (and @t101 @t99 @t98))))) % 8.12/8.35 (assume @p463 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t102 @t30 @t29))) % 8.12/8.35 (assume @p464 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34 @t36 @t120 @t129))) % 8.12/8.35 (assume @p465 (exists @t6 (and @t5 @t33 (not @t114) @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t116 @t36 @t35 @t147 @t42 @t39 @t38))) % 8.12/8.35 (assume @p466 (exists @t6 @t54)) % 8.12/8.35 (assume @p467 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t114))) % 8.12/8.35 (assume @p468 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t116))) % 8.12/8.35 (assume @p469 (forall @t6 (exists @t27 (and @t57 @t132 @t177 @t125 @t124 @t63 @t62 @t61 @t52 @t107)))) % 8.12/8.35 (assume @p470 (exists @t6 @t110)) % 8.12/8.35 (assume @p471 (forall @t6 (exists @t27 (and @t128 @t177 @t125 @t124 @t123 @t122 @t121)))) % 8.12/8.35 (assume @p472 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34))) % 8.12/8.35 (assume @p473 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40))) % 8.12/8.35 (assume @p474 (exists @t6 (and @t93 @t68 @t108 @t54 @t90 @t89 @t64))) % 8.12/8.35 (assume @p475 (forall @t19 (exists @t131 (and @t74 @t95 @t71)))) % 8.12/8.35 (assume @p476 (exists @t6 @t555)) % 8.12/8.35 (assume @p477 (forall @t6 (exists @t27 (and @t57 @t132)))) % 8.12/8.35 (assume @p478 (forall @t6 (exists @t27 (and @t57 (not @t583))))) % 8.12/8.35 (assume @p479 (forall @t6 (=> @t553 (exists @t27 (and @t101 @t364 @t370))))) % 8.12/8.35 (assume @p480 (forall @t6 (=> (and @t33 @t31 @t5) (exists @t27 (and @t101 @t133 @t107 @t99 @t98))))) % 8.12/8.35 (assume @p481 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29 @t120 @t129))) % 8.12/8.35 (assume @p482 (forall @t6 (exists @t27 (and @t389 @t133 @t107)))) % 8.12/8.35 (assume @p483 (exists @t6 @t140)) % 8.12/8.35 (assume @p484 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))) % 8.12/8.35 (assume @p485 (forall @t6 (=> @t140 (exists @t27 (and @t57 @t133 @t107))))) % 8.12/8.35 (assume @p486 (exists @t6 @t109)) % 8.12/8.35 (assume @p487 (exists @t6 (and @t10 @t9))) % 8.12/8.35 (assume @p488 (exists @t6 (and @t140 @t90 @t89 @t64))) % 8.12/8.35 (assume @p489 (forall @t6 (exists @t27 (and @t128 @t177 @t126 (tptp.symmetric @t11) @t545 @t544 @t127)))) % 8.12/8.35 (assume @p490 (exists @t6 @t481)) % 8.12/8.35 (assume @p491 (exists @t6 (and @t17 @t33))) % 8.12/8.35 (assume @p492 (forall @t6 (=> @t17 (exists @t27 (and @t286 @t133 @t107))))) % 8.12/8.35 (assume @p493 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t15))))) % 8.12/8.35 (assume @p494 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t35 @t147 @t42))) % 8.12/8.35 (assume @p495 (forall @t6 (=> @t206 (exists @t27 (and @t101 @t133))))) % 8.12/8.35 (assume @p496 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))) % 8.12/8.35 (assume @p497 (exists @t6 (and @t10 @t33 @t9))) % 8.12/8.35 (assume @p498 (forall @t6 (=> @t553 (exists @t27 (and @t101 @t370))))) % 8.12/8.35 (assume @p499 (forall @t19 (=> @t18 (exists @t131 (and @t394 @t584 @t397))))) % 8.12/8.35 (assume @p500 (forall @t6 (=> @t255 (exists @t27 (and @t101 @t133 @t370))))) % 8.12/8.35 (assume @p501 (forall @t19 (=> (and @t17 @t204 @t16) (exists @t131 (and @t394 @t231 @t584 @t397))))) % 8.12/8.35 (assume @p502 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79))) % 8.12/8.35 (assume @p503 (forall @t261 (=> @t417 (= @t415 @t172)))) % 8.12/8.35 (assume @p504 (forall @t261 (=> @t420 (= @t418 @t172)))) % 8.12/8.35 (assume @p505 (forall @t6 (= @t422 @t56))) % 8.12/8.35 (assume @p506 (forall @t19 (=> @t93 (= @t423 @t372)))) % 8.12/8.35 (assume @p507 (forall @t261 (=> @t429 (= @t425 @t375)))) % 8.12/8.35 (assume @p508 (forall @t6 (= @t304 @t303))) % 8.12/8.35 (assume @p509 (forall @t432 (=> @t431 (= @t430 (tptp.apply_binary @t169 @t191 @t221))))) % 8.12/8.35 (assume @p510 (forall @t6 (=> @t315 (= @t313 @t384)))) % 8.12/8.35 (assume @p511 (forall @t75 (=> @t151 (= @t148 @t585)))) % 8.12/8.35 (assume @p512 (forall @t75 (=> @t157 (= @t155 @t275)))) % 8.12/8.35 (assume @p513 (forall @t261 (=> @t441 (= @t439 @t375)))) % 8.12/8.35 (assume @p514 (forall @t75 (=> @t162 (= @t160 @t238)))) % 8.12/8.35 (assume @p515 (forall @t75 (=> @t74 (= @t270 @t356)))) % 8.12/8.35 (assume @p516 (forall @t75 (=> @t165 (= @t163 @t586)))) % 8.12/8.35 (assume @p517 (forall @t261 (=> @t444 (= @t443 (tptp.relation_inverse_image @t69 @t169))))) % 8.12/8.35 (assume @p518 (forall @t75 (=> @t74 (= @t448 @t355)))) % 8.12/8.35 (assume @p519 (forall @t19 (=> @t389 (= @t449 @t578)))) % 8.12/8.35 (assume @p520 (forall @t75 (=> @t165 (= @t166 @t587)))) % 8.12/8.35 (assume @p521 (forall @t6 (= @t450 @t175))) % 8.12/8.35 (assume @p522 (forall @t19 (=> @t389 (= @t452 @t311)))) % 8.12/8.35 (assume @p523 (forall @t75 (=> @t165 (= @t453 @t588)))) % 8.12/8.35 (assume @p524 (forall @t459 (=> @t458 (= @t455 @t589)))) % 8.12/8.35 (assume @p525 (forall @t261 (=> @t462 (= @t461 @t375)))) % 8.12/8.35 (assume @p526 (forall @t261 (=> @t74 (= @t464 (tptp.relation_dom_restriction @t69 @t169))))) % 8.12/8.35 (assume @p527 (forall @t75 (= @t271 @t74))) % 8.12/8.35 (assume @p528 (forall @t19 (=> @t168 (= @t167 @t179)))) % 8.12/8.35 (assume @p529 (forall @t19 (= @t358 (tptp.are_equipotent @t1 @t11)))) % 8.12/8.35 (assume @p530 (forall @t75 (=> @t591 (= @t590 @t337)))) % 8.12/8.35 (assume @p531 (forall @t75 (=> @t592 (= (tptp.related_reflexive @t1 @t11 @t69) @t325)))) % 8.12/8.35 (assume @p532 (forall @t19 (=> @t168 (tptp.ordinal_subset @t1 @t1)))) % 8.12/8.35 (assume @p533 (forall @t19 (tptp.subset @t1 @t1))) % 8.12/8.35 (assume @p534 (forall @t19 (tptp.equipotent @t1 @t1))) % 8.12/8.35 (assume @p535 (forall @t75 (=> @t591 (tptp.below_refl @t1 @t11 @t11)))) % 8.12/8.35 (assume @p536 (forall @t75 (=> @t592 (tptp.related_reflexive @t1 @t11 @t11)))) % 8.12/8.35 (assume @p537 (forall @t19 (=> @t607 (=> @t606 (exists @t131 (and @t95 @t71 (forall @t196 (= @t195 (and @t291 @t291 (exists @t597 (and (= @t169 @t594) (tptp.in @t191 @t594) (forall @t596 (=> @t595 (tptp.in (tptp.ordered_pair @t191 @t593) @t11)))))))))))))) % 8.12/8.35 (assume @p538 (forall @t6 (=> @t610 (exists @t27 (and @t177 @t125 (forall @t174 (= @t173 (and @t171 @t171 (= @t169 @t575))))))))) % 8.12/8.35 (assume @p539 (forall @t19 (=> @t623 (=> @t622 (exists @t131 (and @t95 @t71 (forall @t196 (= @t195 (and @t616 @t616 @t614))))))))) % 8.12/8.35 (assume @p540 (forall @t19 (=> @t623 (=> @t624 (exists @t131 (and @t95 @t71 (forall @t196 (= @t195 (and @t194 @t194 @t614))))))))) % 8.12/8.35 (assume @p541 (forall @t6 (=> (exists @t27 (and @t61 @t20)) (exists @t27 (and @t61 @t20 (forall @t131 (=> @t625 (=> @t171 (tptp.ordinal_subset @t11 @t69))))))))) % 8.12/8.35 (assume @p542 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t649)) (not (and @t292 (forall @t27 (not (and @t20 (forall @t131 (=> (and @t171 @t648) (= @t69 @t11))))))))))) (forall @t184 (=> @t632 (=> @t647 (=> (tptp.in @t646 tptp.omega) (forall @t602 (=> (tptp.element @t566 (tptp.powerset (tptp.powerset @t646))) (not (and (not (= @t566 tptp.empty_set)) (forall @t601 (not (and @t600 (forall @t597 (=> (and (tptp.in @t594 @t566) (tptp.subset @t599 @t594)) (= @t594 @t599)))))))))))))) (forall @t184 (=> @t632 (=> (and (tptp.being_limit_ordinal @t169) (forall @t596 (=> (tptp.ordinal @t593) (=> (tptp.in @t593 @t169) (=> (tptp.in @t593 tptp.omega) (forall @t645 (=> (tptp.element @t641 (tptp.powerset (tptp.powerset @t593))) (not (and (not (= @t641 tptp.empty_set)) (forall @t644 (not (and @t643 (forall @t642 (=> (and (tptp.in @t640 @t641) (tptp.subset @t639 @t640)) (= @t640 @t639))))))))))))))) (or (= @t169 tptp.empty_set) (=> @t631 (forall @t638 (=> (tptp.element @t635 @t629) (not (and (not (= @t635 tptp.empty_set)) (forall @t637 (not (and (tptp.in @t633 @t635) (forall @t636 (=> (and (tptp.in @t634 @t635) (tptp.subset @t633 @t634)) (= @t634 @t633)))))))))))))))) (forall @t184 (=> @t632 (=> @t631 (forall @t630 (=> (tptp.element @t628 @t629) (not (and (not (= @t628 tptp.empty_set)) (forall (@list @t626) (not (and (tptp.in @t626 @t628) (forall (@list @t627) (=> (and (tptp.in @t627 @t628) (tptp.subset @t626 @t627)) (= @t627 @t626))))))))))))))) % 8.12/8.35 (assume @p543 (forall @t75 (=> @t653 (exists @t184 (and @t652 (forall @t330 (= (tptp.in @t328 @t169) (and @t214 @t651 (tptp.in (tptp.ordered_pair @t374 @t650) @t11))))))))) % 8.12/8.35 (assume @p544 (forall @t19 (=> @t607 (=> @t606 (exists @t131 (forall @t184 (= @t210 (exists @t201 (and @t214 @t214 (exists @t597 (and (= @t191 @t594) @t655 @t654))))))))))) % 8.12/8.35 (assume @p545 (forall @t19 (=> @t607 (forall @t131 (=> (forall @t569 (=> (and @t598 (exists @t666 (and @t665 @t663 (exists @t601 (and (= @t219 @t599) (tptp.in @t566 @t599) (forall @t597 (=> @t662 (tptp.in (tptp.ordered_pair @t566 @t594) @t11))))))) @t661 (exists @t660 (and (= @t659 @t221) (tptp.in @t593 @t1) (exists @t644 (and (= @t593 @t639) (tptp.in @t641 @t639) (forall @t642 (=> (tptp.in @t640 @t639) (tptp.in (tptp.ordered_pair @t641 @t640) @t11)))))))) @t658)) (exists @t184 (forall @t201 (= @t260 (exists @t226 (and (tptp.in @t221 @t657) @t656 (exists (@list @t635 @t633) (and (= (tptp.ordered_pair @t635 @t633) @t191) (tptp.in @t635 @t1) (exists @t636 (and (= @t635 @t634) (tptp.in @t633 @t634) (forall @t630 (=> (tptp.in @t628 @t634) (tptp.in (tptp.ordered_pair @t633 @t628) @t11))))))))))))))))) % 8.12/8.35 (assume @p546 (forall @t75 (=> @t673 (=> (forall @t569 (=> (and @t598 (exists @t224 (and @t671 (exists @t602 (and @t670 @t669 (tptp.relstr_set_smaller @t1 @t219 @t566))))) @t661 (exists @t601 (and (= @t599 @t221) (exists @t597 (and (tptp.element @t594 @t3) @t668 (tptp.relstr_set_smaller @t1 @t599 @t594)))))) @t658)) (exists @t184 (forall @t201 (= @t260 (exists @t226 (and (tptp.in @t221 @t667) @t656 (exists @t596 (and (= @t593 @t191) (exists @t645 (and (tptp.element @t641 @t3) (tptp.in @t641 @t11) (tptp.relstr_set_smaller @t1 @t593 @t641)))))))))))))) % 8.12/8.35 (assume @p547 (forall @t6 (=> @t610 (exists @t27 (forall @t131 (= @t287 (exists @t184 (and @t291 @t291 (= @t69 (tptp.singleton @t169)))))))))) % 8.12/8.35 (assume @p548 (forall @t19 (=> (forall @t386 (=> (and @t170 (exists @t680 (and (= @t679 @t169) @t651 (= @t219 (tptp.singleton @t221)))) @t678 (exists (@list @t566 @t599) (and (= (tptp.ordered_pair @t566 @t599) @t191) @t677 (= @t599 (tptp.singleton @t566))))) @t598)) (exists @t131 (forall @t184 (= @t210 (exists @t201 (and (tptp.in @t191 @t96) @t676 (exists @t675 (and (= @t674 @t169) (tptp.in @t594 @t1) (= @t593 (tptp.singleton @t594)))))))))))) % 8.12/8.35 (assume @p549 (forall @t6 (=> @t64 (=> (forall @t266 (=> (and @t277 (exists @t201 (and @t682 @t678 (=> (tptp.in @t191 tptp.omega) (forall @t226 (=> (tptp.element @t221 (tptp.powerset (tptp.powerset @t191))) @t681))))) @t316 (exists @t601 (and (tptp.ordinal @t599) (= @t169 @t599) (=> (tptp.in @t599 tptp.omega) (forall @t597 (=> (tptp.element @t594 (tptp.powerset (tptp.powerset @t599))) (not (and (not (= @t594 tptp.empty_set)) (forall @t596 (not (and @t595 (forall @t645 (=> (and (tptp.in @t641 @t594) (tptp.subset @t593 @t641)) (= @t641 @t593)))))))))))))) @t170)) (exists @t27 (forall @t131 (= @t287 (exists @t184 (and (tptp.in @t169 @t281) @t379 (exists @t644 (and (tptp.ordinal @t639) (= @t69 @t639) (=> (tptp.in @t639 tptp.omega) (forall @t642 (=> (tptp.element @t640 (tptp.powerset (tptp.powerset @t639))) (not (and (not (= @t640 tptp.empty_set)) (forall @t638 (not (and (tptp.in @t635 @t640) (forall @t637 (=> (and (tptp.in @t633 @t640) (tptp.subset @t635 @t633)) (= @t633 @t635)))))))))))))))))))))) % 8.12/8.35 (assume @p550 (forall @t19 (=> @t534 (=> (forall @t386 (=> (and @t170 (exists @t226 (and @t620 @t685 (tptp.closed_subset @t221 @t1) @t683)) @t678 (exists @t224 (and @t617 @t671 (tptp.closed_subset @t219 @t1) (tptp.subset @t11 @t191)))) @t598)) (exists @t131 (forall @t184 (= @t210 (exists @t201 (and @t684 @t676 (exists @t602 (and @t613 @t612 (tptp.closed_subset @t566 @t1) @t683))))))))))) % 8.12/8.35 (assume @p551 (forall @t19 (=> @t687 (=> (forall @t386 (=> (and @t170 @t686 @t678 (tptp.in (tptp.set_difference @t341 @t191) @t11)) @t598)) (exists @t131 (forall @t184 (= @t210 (exists @t201 (and @t684 @t676 @t686))))))))) % 8.12/8.35 (assume @p552 (forall @t19 (=> @t689 (=> (forall @t386 (=> (and @t170 (exists @t226 (and @t329 (= @t169 (tptp.set_difference @t221 @t280)))) @t678 (exists @t224 (and @t688 (= @t191 (tptp.set_difference @t219 @t280))))) @t598)) (exists @t131 (forall @t184 (= @t210 (exists @t201 (and (tptp.in @t191 @t56) @t676 (exists @t602 (and @t669 (= @t169 (tptp.set_difference @t566 @t280))))))))))))) % 8.12/8.35 (assume @p553 (forall @t19 (=> @t623 (=> @t622 (exists @t131 (forall @t184 (= @t210 (exists @t201 (and @t692 @t692 @t691))))))))) % 8.12/8.35 (assume @p554 (forall @t19 (=> @t623 (forall @t131 (=> (forall @t569 (=> (and @t598 (exists @t666 (and @t665 (tptp.in @t219 @t615) @t701)) @t661 (exists @t675 (and @t698 (tptp.in @t594 @t615) @t697))) @t658)) (exists @t184 (forall @t201 (= @t260 (exists @t226 (and (tptp.in @t221 @t696) @t656 (exists @t695 (and @t694 (tptp.in @t639 @t615) @t693)))))))))))) % 8.12/8.35 (assume @p555 (forall @t19 (=> @t623 (=> @t624 (exists @t131 (forall @t184 (= @t210 (exists @t201 (and @t208 @t208 @t691))))))))) % 8.12/8.35 (assume @p556 (forall @t19 (=> @t623 (forall @t131 (=> (forall @t569 (=> (and @t598 (exists @t666 (and @t665 @t688 @t701)) @t661 (exists @t675 (and @t698 @t668 @t697))) @t658)) (exists @t184 (forall @t201 (= @t260 (exists @t226 (and (tptp.in @t221 @t702) @t656 (exists @t695 (and @t694 (tptp.in @t639 @t11) @t693)))))))))))) % 8.12/8.35 (assume @p557 (forall @t75 (=> @t653 (=> (forall @t569 (=> (and @t598 (exists @t666 (and (= @t191 @t664) (tptp.in (tptp.ordered_pair @t703 (tptp.apply @t69 @t566)) @t11))) @t661 (exists (@list @t599 @t594) (and (= @t221 (tptp.ordered_pair @t599 @t594)) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t599) (tptp.apply @t69 @t594)) @t11)))) @t658)) (exists @t184 (forall @t201 (= @t260 (exists @t226 (and (tptp.in @t221 @t408) @t656 (exists @t660 (and (= @t191 @t659) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t593) (tptp.apply @t69 @t641)) @t11)))))))))))) % 8.12/8.35 (assume @p558 (forall @t6 (=> (forall @t266 (=> (and @t277 @t625 @t316 @t632) @t170)) (exists @t27 (forall @t131 (= @t287 (exists @t184 (and @t291 @t379 @t625)))))))) % 8.12/8.35 (assume @p559 (forall @t75 (=> @t706 (=> (forall @t569 (=> (and @t598 @t704 @t661 (tptp.in (tptp.relation_image @t69 @t221) @t11)) @t658)) (exists @t184 (forall @t201 (= @t260 (exists @t226 (and (tptp.in @t221 @t705) @t656 @t704))))))))) % 8.12/8.35 (assume @p560 (forall @t19 (=> @t61 (=> (forall @t386 (=> (and @t170 (exists @t226 (and (tptp.ordinal @t221) @t661 @t651)) @t678 (exists @t224 (and (tptp.ordinal @t219) @t708 @t663))) @t598)) (exists @t131 (forall @t184 (= @t210 (exists @t201 (and (tptp.in @t191 @t707) @t676 (exists @t602 (and (tptp.ordinal @t566) @t567 @t677))))))))))) % 8.12/8.35 (assume @p561 (forall @t19 (=> @t607 (forall @t131 (exists @t184 (forall @t201 (= @t260 (and (tptp.in @t191 @t657) (exists @t680 (and @t709 @t651 (exists @t602 (and (= @t221 @t566) (tptp.in @t219 @t566) (forall @t601 (=> @t600 (tptp.in (tptp.ordered_pair @t219 @t599) @t11))))))))))))))) % 8.12/8.35 (assume @p562 (forall @t75 (=> @t673 (exists @t184 (forall @t201 (= @t260 (and (tptp.in @t191 @t667) (exists @t226 (and @t656 @t710))))))))) % 8.12/8.35 (assume @p563 (forall @t19 (exists @t131 (forall @t184 (= @t210 (and (tptp.in @t169 @t96) (exists @t330 (and (= @t328 @t169) @t214 (= @t221 @t711))))))))) % 8.12/8.35 (assume @p564 (forall @t6 (=> @t64 (exists @t27 (forall @t131 (= @t287 (and (tptp.in @t69 @t281) (exists @t184 (and @t632 @t170 @t647))))))))) % 8.12/8.35 (assume @p565 (forall @t19 (=> @t534 (exists @t131 (forall @t184 (= @t210 (and @t713 @t712))))))) % 8.12/8.35 (assume @p566 (forall @t19 (=> @t687 (exists @t131 (forall @t184 (= @t210 (and @t713 @t686))))))) % 8.12/8.35 (assume @p567 (forall @t19 (=> @t689 (exists @t131 (forall @t184 (= @t210 (and (tptp.in @t169 @t56) (exists @t201 (and @t208 (= @t169 (tptp.set_difference @t191 @t280))))))))))) % 8.12/8.35 (assume @p568 (forall @t19 (=> @t623 (forall @t131 (exists @t184 (forall @t201 (= @t260 (and (tptp.in @t191 @t696) (exists @t680 (and @t709 (tptp.in @t221 @t615) @t714)))))))))) % 8.12/8.35 (assume @p569 (forall @t19 (=> @t623 (forall @t131 (exists @t184 (forall @t201 (= @t260 (and (tptp.in @t191 @t702) (exists @t680 (and @t709 @t329 @t714)))))))))) % 8.12/8.35 (assume @p570 (forall @t75 (=> @t653 (exists @t184 (forall @t201 (= @t260 (and (tptp.in @t191 @t408) (exists @t680 (and (= @t191 @t679) (tptp.in (tptp.ordered_pair @t650 @t703) @t11)))))))))) % 8.12/8.35 (assume @p571 (forall @t6 (exists @t27 (forall @t131 (= @t287 (and @t171 @t625)))))) % 8.12/8.35 (assume @p572 (forall @t75 (=> @t706 (exists @t184 (forall @t201 (= @t260 (and (tptp.in @t191 @t705) @t704))))))) % 8.12/8.35 (assume @p573 (forall @t19 (=> @t61 (exists @t131 (forall @t184 (= @t210 (and (tptp.in @t169 @t707) (exists @t201 (and @t682 @t598 @t214))))))))) % 8.12/8.35 (assume @p574 (forall @t75 (=> @t673 (=> (and @t331 (exists @t184 (and @t183 @t194 (tptp.relstr_set_smaller @t1 tptp.empty_set @t169))) (forall @t330 (=> (and @t715 (tptp.subset @t221 @t69) @t710) (exists @t602 (and @t670 @t669 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t221 @t711) @t566)))))) (exists @t601 (and (tptp.element @t599 @t3) (tptp.in @t599 @t11) (tptp.relstr_set_smaller @t1 @t69 @t599))))))) % 8.12/8.35 (assume @p575 (forall @t19 (=> @t607 (=> (and (forall @t386 (=> (and @t171 @t605 @t603) @t598)) (forall @t131 (not (and @t171 (forall @t184 (not (exists @t597 (and (= @t69 @t594) @t655 @t654)))))))) (exists @t131 (and @t95 @t71 @t357 (forall @t184 (=> @t291 (exists @t645 (and (= @t169 @t641) (tptp.in @t375 @t641) (forall @t644 (=> @t643 (tptp.in (tptp.ordered_pair @t375 @t639) @t11))))))))))))) % 8.12/8.35 (assume @p576 (forall @t6 (=> (and (forall @t266 (=> (and @t20 @t609 @t608) @t170)) (forall @t27 (not (and @t20 (forall @t131 (not @t609)))))) @t718))) % 8.12/8.35 (assume @p577 (forall @t19 (=> @t623 (=> (and (forall @t386 (=> (and @t619 @t621 @t618) @t598)) (forall @t131 (not (and @t619 @t720)))) (exists @t131 (and @t95 @t71 (= @t356 @t615) (forall @t184 (=> @t616 @t719)))))))) % 8.12/8.35 (assume @p578 (forall @t19 (=> @t623 (=> (and (forall @t386 (=> (and @t287 @t621 @t618) @t598)) (forall @t131 (not (and @t287 @t720)))) (exists @t131 (and @t95 @t71 (= @t356 @t11) (forall @t184 (=> @t194 @t719)))))))) % 8.12/8.35 (assume @p579 (=> (forall @t6 (=> @t64 (=> (forall @t27 (=> @t61 (=> @t20 (=> (tptp.in @t11 tptp.omega) (forall @t131 (=> (tptp.element @t69 (tptp.powerset @t447)) (not (and @t343 (forall @t184 (not (and @t210 (forall @t201 (=> (and @t715 (tptp.subset @t169 @t191)) @t676))))))))))))) (=> @t721 (forall @t226 (=> (tptp.element @t221 @t388) @t681)))))) (forall @t6 (=> @t64 (=> @t721 (forall @t601 (=> (tptp.element @t599 @t388) (not (and (not (= @t599 tptp.empty_set)) (forall @t597 (not (and @t662 (forall @t596 (=> (and (tptp.in @t593 @t599) (tptp.subset @t594 @t593)) (= @t593 @t594))))))))))))))) % 8.12/8.35 (assume @p580 (forall @t6 @t718)) % 8.12/8.35 (assume @p581 (forall @t19 (=> @t534 (exists @t131 (and @t333 (forall @t184 (=> @t722 (= @t210 @t712)))))))) % 8.12/8.35 (assume @p582 (forall @t19 (=> @t687 (exists @t131 (and @t333 (forall @t184 (=> @t722 (= @t210 @t686)))))))) % 8.12/8.35 (assume @p583 (forall @t19 (=> @t378 (tptp.disjoint @t11 @t1)))) % 8.12/8.35 (assume @p584 (forall @t19 (=> @t358 (tptp.equipotent @t11 @t1)))) % 8.12/8.35 (assume @p585 (forall @t6 (tptp.in @t1 @t281))) % 8.12/8.35 (assume @p586 (forall @t19 (=> @t389 (and @t724 (not (and (not @t723) @t269)))))) % 8.12/8.35 (assume @p587 (forall @t261 (not (and (= @t152 (tptp.unordered_pair @t69 @t169)) (not @t564) (not @t562))))) % 8.12/8.35 (assume @p588 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t69))) (and @t22 (tptp.in @t1 @t355)))))) % 8.12/8.35 (assume @p589 (forall @t19 (=> @t177 (tptp.subset @t725 @t1)))) % 8.12/8.35 (assume @p590 (forall @t19 (=> @t177 (tptp.subset @t215 @t11)))) % 8.12/8.35 (assume @p591 (forall @t19 (=> @t177 (tptp.subset @t725 @t263)))) % 8.12/8.35 (assume @p592 (forall @t75 (=> @t179 (and (tptp.subset @t657 @t702) (tptp.subset (tptp.cartesian_product2 @t69 @t1) (tptp.cartesian_product2 @t69 @t11)))))) % 8.12/8.35 (assume @p593 (forall @t19 (=> @t177 (= @t725 (tptp.set_intersection2 @t263 @t1))))) % 8.12/8.35 (assume @p594 (forall @t261 (=> (and @t179 @t301) (tptp.subset @t657 (tptp.cartesian_product2 @t11 @t169))))) % 8.12/8.35 (assume @p595 (forall @t19 (=> @t389 (=> @t312 (= @t726 (tptp.subset_complement @t1 @t449)))))) % 8.12/8.35 (assume @p596 (forall @t19 (=> (tptp.element @t11 (tptp.powerset @t727)) (= (tptp.upper_relstr_subset @t11 @t327) (forall @t174 (=> (and @t301 (tptp.subset @t169 @t1) @t287) @t194)))))) % 8.12/8.35 (assume @p597 (forall @t75 (=> @t271 (and (tptp.subset @t356 @t1) (tptp.subset @t355 @t11))))) % 8.12/8.35 (assume @p598 (forall @t19 (=> @t389 (=> @t312 (= @t728 (tptp.subset_complement @t1 @t452)))))) % 8.12/8.35 (assume @p599 (forall @t19 (=> @t179 (= @t154 @t11)))) % 8.12/8.35 (assume @p600 (forall @t6 (exists @t27 (and @t22 @t730 (forall @t131 (=> @t287 (tptp.in @t667 @t11))) @t729)))) % 8.12/8.35 (assume @p601 (forall @t6 (=> @t255 (= @t335 (forall @t27 (=> @t286 (not (and (tptp.centered @t11) @t322 (= @t731 tptp.empty_set))))))))) % 8.12/8.35 (assume @p602 (forall @t19 (=> (and @t179 @t107) @t65))) % 8.12/8.35 (assume @p603 (forall @t6 (=> @t17 (forall @t27 (=> @t286 (= (tptp.finite @t615) @t107)))))) % 8.12/8.35 (assume @p604 (forall @t75 (=> @t95 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t69) @t11) (tptp.relation_rng_restriction @t1 @t732))))) % 8.12/8.35 (assume @p605 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_image @t69 @t11)) (exists @t184 (and (tptp.in @t169 @t356) (tptp.in (tptp.ordered_pair @t169 @t1) @t69) @t194)))))) % 8.12/8.35 (assume @p606 (forall @t19 (=> @t177 (tptp.subset @t733 @t263)))) % 8.12/8.35 (assume @p607 (forall @t19 (=> @t552 (tptp.subset @t735 @t1)))) % 8.12/8.35 (assume @p608 (forall @t19 (=> @t177 (= @t733 (tptp.relation_image @t11 @t736))))) % 8.12/8.35 (assume @p609 (forall @t19 (=> @t177 (=> (tptp.subset @t1 @t262) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t733)))))) % 8.12/8.35 (assume @p610 (forall @t6 (=> @t93 (= (tptp.relation_image @t1 @t209) @t361)))) % 8.12/8.35 (assume @p611 (forall @t19 (=> @t552 (=> @t737 (= @t735 @t1))))) % 8.12/8.35 (assume @p612 (forall @t261 (=> @t740 (=> (tptp.subset @t739 @t11) @t738)))) % 8.12/8.35 (assume @p613 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= (tptp.subset_intersection2 @t3 @t11 @t341) @t11)))))) % 8.12/8.35 (assume @p614 (forall @t6 (=> @t741 (forall @t27 (= @t383 (exists @t131 (and @t149 @t382 @t381))))))) % 8.12/8.35 (assume @p615 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= @t742 (tptp.relation_image @t11 @t361))))))) % 8.12/8.35 (assume @p616 (forall @t75 (=> @t95 (= (tptp.in @t1 @t743) (exists @t184 (and (tptp.in @t169 @t355) (tptp.in (tptp.ordered_pair @t1 @t169) @t69) @t194)))))) % 8.12/8.35 (assume @p617 (forall @t19 (=> @t177 (tptp.subset @t734 @t262)))) % 8.12/8.35 (assume @p618 (forall @t261 (=> @t740 (=> @t179 @t738)))) % 8.12/8.35 (assume @p619 (forall @t6 (=> @t244 (forall @t27 (=> @t286 (= @t322 (tptp.open_subsets @t615 @t1))))))) % 8.12/8.35 (assume @p620 (forall @t75 (=> @t95 (= (tptp.in @t1 @t744) (and @t579 (tptp.in @t1 @t371)))))) % 8.12/8.35 (assume @p621 (forall @t6 (=> @t741 (forall @t27 (= @t188 (exists @t131 (and @t149 @t186 @t185))))))) % 8.12/8.35 (assume @p622 (forall @t19 (=> @t177 (not (and @t292 @t737 (= @t734 tptp.empty_set)))))) % 8.12/8.35 (assume @p623 (forall @t75 (=> @t95 (=> @t179 (tptp.subset (tptp.relation_inverse_image @t69 @t1) @t743))))) % 8.12/8.35 (assume @p624 (forall @t19 (=> @t552 (=> @t65 (tptp.finite @t733))))) % 8.12/8.35 (assume @p625 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= @t294 @t369)))))) % 8.12/8.35 (assume @p626 (forall @t6 (=> @t244 (forall @t27 (=> @t286 (= @t297 (tptp.closed_subsets @t615 @t1))))))) % 8.12/8.35 (assume @p627 (forall @t19 (=> @t177 (= @t745 (tptp.relation_dom_restriction @t215 @t1))))) % 8.12/8.35 (assume @p628 (forall @t19 (tptp.subset @t159 @t1))) % 8.12/8.35 (assume @p629 (forall @t6 (=> @t65 (forall @t27 (=> @t389 (not (and @t312 (forall @t131 (not (and @t287 (forall @t184 (=> (and @t194 @t301) @t379)))))))))))) % 8.12/8.35 (assume @p630 (forall @t19 (=> @t177 (= @t745 (tptp.relation_rng_restriction @t1 @t746))))) % 8.12/8.35 (assume @p631 (forall @t6 (= (tptp.bottom_of_relstr @t327) tptp.empty_set))) % 8.12/8.35 (assume @p632 (forall @t75 (=> @t95 (=> (tptp.in @t1 (tptp.relation_field @t744)) (and @t748 @t22))))) % 8.12/8.35 (assume @p633 (forall @t75 (=> (and @t179 @t749) (tptp.subset @t1 @t587)))) % 8.12/8.35 (assume @p634 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t394 (tptp.subset @t220 @t14)))))))) % 8.12/8.35 (assume @p635 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 8.12/8.35 (assume @p636 (forall @t19 (=> @t752 (forall @t131 (=> @t751 (and (= (tptp.join @t273 @t11 @t69) @t586) (= (tptp.meet @t273 @t11 @t69) @t587))))))) % 8.12/8.35 (assume @p637 (forall @t19 (=> @t22 @t753))) % 8.12/8.35 (assume @p638 (forall @t6 (=> (and @t33 @t41 @t5) (forall @t27 (=> @t101 (= (and @t133 @t99) (forall @t131 (=> (and @t331 @t672) (exists @t184 (and @t183 @t194 @t754)))))))))) % 8.12/8.35 (assume @p639 (forall @t75 (=> (and @t179 @t648) @t749))) % 8.12/8.35 (assume @p640 @t758) % 8.12/8.35 (assume @p641 (= @t649 (tptp.singleton tptp.empty_set))) % 8.12/8.35 (assume @p642 (forall @t75 (=> @t95 (=> @t760 (and @t759 (tptp.in @t11 @t355)))))) % 8.12/8.35 (assume @p643 (forall @t19 (=> @t177 (and (tptp.subset @t761 @t302) (tptp.subset @t761 @t1))))) % 8.12/8.35 (assume @p644 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t394 (forall @t184 (=> @t202 (forall @t201 (=> @t200 (forall @t226 (=> @t225 (forall @t224 (=> @t223 (=> (and @t661 @t708 @t222) @t199)))))))))))))))) % 8.12/8.35 (assume @p645 (forall @t19 (=> @t552 (forall @t131 (=> @t377 (= @t764 (and @t759 (tptp.in @t762 @t262)))))))) % 8.12/8.35 (assume @p646 (forall @t261 (=> @t766 (forall @t201 (=> (and (tptp.relation @t191) @t456) (=> @t171 (or @t269 (= (tptp.apply @t589 @t69) (tptp.apply @t191 @t765))))))))) % 8.12/8.35 (assume @p647 (forall @t6 (=> @t90 (forall @t27 (=> @t61 (=> @t24 @t22)))))) % 8.12/8.35 (assume @p648 (forall @t6 (=> @t93 (tptp.subset @t1 (tptp.cartesian_product2 @t209 @t361))))) % 8.12/8.35 (assume @p649 (forall @t75 (=> @t95 (tptp.subset (tptp.fiber (tptp.relation_restriction @t69 @t1) @t11) (tptp.fiber @t69 @t11))))) % 8.12/8.35 (assume @p650 (forall @t6 (=> @t17 (forall @t27 (=> @t205 (forall @t131 (=> (and @t231 @t397 @t394) (forall @t184 (=> @t202 (forall @t201 (=> @t200 (forall @t226 (=> @t225 (forall @t224 (=> @t223 (=> (and @t661 @t708 @t199) @t222)))))))))))))))) % 8.12/8.35 (assume @p651 (forall @t19 (=> @t552 (forall @t131 (=> @t377 (=> @t764 (= (tptp.apply @t763 @t1) (tptp.apply @t11 @t762)))))))) % 8.12/8.35 (assume @p652 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= (tptp.subset_difference @t3 @t341 @t369) @t11)))))) % 8.12/8.35 (assume @p653 (forall @t75 (=> (tptp.relation_of2_as_subset @t69 @t11 @t1) (= (forall @t184 (not (and @t194 (forall @t201 (not @t195))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t69) @t11))))) % 8.12/8.35 (assume @p654 (forall @t19 (=> @t177 (=> @t126 (tptp.reflexive @t745))))) % 8.12/8.35 (assume @p655 (forall @t19 (=> @t552 (forall @t131 (=> @t377 (=> (tptp.in @t1 @t262) (= (tptp.apply (tptp.relation_composition @t11 @t69) @t1) (tptp.apply @t69 (tptp.apply @t11 @t1))))))))) % 8.12/8.35 (assume @p656 (forall @t6 (=> (and @t33 @t83 @t81 @t10) (forall @t27 (=> @t150 (forall @t131 (=> @t149 (tptp.below @t1 @t160 @t11)))))))) % 8.12/8.35 (assume @p657 (forall @t19 (=> @t61 (=> @t22 @t64)))) % 8.12/8.35 (assume @p658 (forall @t75 (=> @t271 (= (forall @t184 (not (and @t194 (forall @t201 (not (tptp.in @t245 @t69)))))) (= @t448 @t11))))) % 8.12/8.35 (assume @p659 (forall @t19 (=> @t177 (=> @t767 (tptp.connected @t745))))) % 8.12/8.35 (assume @p660 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (not (and @t572 @t392 @t21))))))) % 8.12/8.35 (assume @p661 (forall @t19 (=> @t177 (=> @t544 (tptp.transitive @t745))))) % 8.12/8.35 (assume @p662 (forall @t6 (=> @t741 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (=> (and @t325 (tptp.related @t1 @t69 @t11)) @t277)))))))) % 8.12/8.35 (assume @p663 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (=> @t179 (and (tptp.subset @t209 @t262) (tptp.subset @t361 @t263)))))))) % 8.12/8.35 (assume @p664 (forall @t19 (=> @t177 (=> @t545 (tptp.antisymmetric @t745))))) % 8.12/8.35 (assume @p665 (forall @t19 (=> @t177 (=> @t770 (and @t769 @t768))))) % 8.12/8.35 (assume @p666 (forall @t6 (=> @t213 (=> (tptp.finite @t209) (tptp.finite @t361))))) % 8.12/8.35 (assume @p667 (forall @t6 (=> @t533 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (=> (and @t337 (tptp.below @t1 @t69 @t11)) @t277)))))))) % 8.12/8.35 (assume @p668 (forall @t6 (=> @t146 @t326))) % 8.12/8.35 (assume @p669 (forall @t6 (exists @t27 (and @t177 @t770)))) % 8.12/8.35 (assume @p670 (forall @t75 (=> @t179 (tptp.subset (tptp.set_intersection2 @t1 @t69) @t587)))) % 8.12/8.35 (assume @p671 (forall @t19 (=> @t561 (forall @t131 (=> @t391 (= (tptp.latt_set_smaller @t11 @t69 @t1) (tptp.relstr_element_smaller @t772 @t1 @t771))))))) % 8.12/8.35 (assume @p672 (forall @t6 (=> @t140 (not (and (forall @t27 (not (and @t20 @t269))) (forall @t27 (=> @t552 (not (and @t717 (forall @t131 (=> @t171 (tptp.in @t716 @t69)))))))))))) % 8.12/8.35 (assume @p673 (forall @t19 (=> @t179 (= @t159 @t1)))) % 8.12/8.35 (assume @p674 (forall @t6 (=> @t206 (forall @t27 (=> @t234 (forall @t131 (=> @t203 @t218))))))) % 8.12/8.35 (assume @p675 (forall @t19 (=> @t561 (forall @t131 (=> @t774 (= (tptp.relstr_element_smaller @t772 @t1 @t69) (tptp.latt_set_smaller @t11 @t773 @t1))))))) % 8.12/8.35 (assume @p676 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (= @t370 @t546)))))) % 8.12/8.35 (assume @p677 (forall @t6 (=> @t309 (forall @t27 (and (= @t308 (tptp.join_on_relstr @t314 @t11)) (= @t310 (tptp.meet_on_relstr @t314 @t11))))))) % 8.12/8.35 (assume @p678 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 8.12/8.35 (assume @p679 (forall @t19 (=> @t752 (forall @t131 (=> @t751 (= (tptp.below @t273 @t11 @t69) @t648)))))) % 8.12/8.35 (assume @p680 (forall @t19 (=> @t753 (or @t132 @t22)))) % 8.12/8.35 (assume @p681 (forall @t19 (=> (forall @t131 (= @t171 @t287)) @t180))) % 8.12/8.35 (assume @p682 (forall @t6 (tptp.reflexive @t303))) % 8.12/8.35 (assume @p683 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 8.12/8.35 (assume @p684 (forall @t19 (=> (tptp.element @t11 @t727) (forall @t131 (=> (tptp.element @t69 @t727) (= (tptp.related_reflexive @t327 @t11 @t69) @t648)))))) % 8.12/8.35 (assume @p685 (forall @t19 (=> @t561 (forall @t131 (=> @t391 (= (tptp.latt_element_smaller @t11 @t69 @t1) (tptp.relstr_set_smaller @t772 @t1 @t771))))))) % 8.12/8.35 (assume @p686 (forall @t75 (=> @t95 (=> @t760 (and @t748 (tptp.in @t11 @t747)))))) % 8.12/8.35 (assume @p687 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (= @t364 @t551)))))) % 8.12/8.35 (assume @p688 (forall @t6 (=> @t741 (forall @t27 (=> @t150 (forall @t131 (and (=> @t775 @t776) (=> @t776 @t775)))))))) % 8.12/8.35 (assume @p689 (forall @t6 (=> @t206 (forall @t27 (=> @t234 (forall @t131 (=> @t218 (and (not (tptp.empty_carrier @t247)) (tptp.directed_relstr @t247))))))))) % 8.12/8.35 (assume @p690 (forall @t19 (=> @t561 (forall @t131 (=> @t774 (= (tptp.relstr_set_smaller @t772 @t1 @t69) (tptp.latt_element_smaller @t11 @t773 @t1))))))) % 8.12/8.35 (assume @p691 (forall @t6 (=> (forall @t27 (=> @t20 (and @t61 @t178))) @t64))) % 8.12/8.35 (assume @p692 (forall @t19 (=> @t177 (=> @t777 (tptp.well_founded_relation @t745))))) % 8.12/8.35 (assume @p693 (forall @t6 (=> @t206 (forall @t27 (=> @t234 (forall @t131 (=> @t218 (tptp.subnet @t247 @t1 @t11)))))))) % 8.12/8.35 (assume @p694 (forall @t6 (=> @t315 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t69) @t384) @t590)))))))) % 8.12/8.35 (assume @p695 (forall @t19 (=> @t61 (not (and @t179 @t292 (forall @t131 (=> @t625 (not (and @t171 (forall @t184 (=> @t632 (=> @t291 (tptp.ordinal_subset @t69 @t169))))))))))))) % 8.12/8.35 (assume @p696 (forall @t19 (=> @t177 (=> @t573 @t768)))) % 8.12/8.35 (assume @p697 (forall @t6 (=> @t206 (forall @t27 (=> @t234 (forall @t174 (=> (tptp.subnet @t169 @t1 @t11) (=> @t248 (tptp.is_eventually_in @t1 @t169 @t69))))))))) % 8.12/8.35 (assume @p698 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (= @t22 (tptp.ordinal_subset @t281 @t11))))))) % 8.12/8.35 (assume @p699 (forall @t75 (=> @t179 (tptp.subset (tptp.set_difference @t1 @t69) @t588)))) % 8.12/8.35 (assume @p700 (forall @t261 (=> (= @t366 @t172) @t565))) % 8.12/8.35 (assume @p701 (forall @t19 (=> @t552 (= @t176 (and @t717 (forall @t131 (=> @t171 (= @t716 @t69)))))))) % 8.12/8.35 (assume @p702 (forall @t6 (=> @t309 (forall @t27 (=> @t150 (forall @t131 (= (= @t11 (tptp.meet_of_latt_set @t1 @t69)) (and @t250 (forall @t184 (=> @t183 (=> (tptp.latt_set_smaller @t1 @t169 @t69) (tptp.below_refl @t1 @t169 @t11)))))))))))) % 8.12/8.35 (assume @p703 (forall @t19 (=> @t20 (= (tptp.apply @t175 @t11) @t11)))) % 8.12/8.35 (assume @p704 (forall @t19 (tptp.subset @t359 @t1))) % 8.12/8.35 (assume @p705 (forall @t6 (=> @t93 (and (= @t361 (tptp.relation_dom @t373)) (= @t209 (tptp.relation_rng @t373)))))) % 8.12/8.35 (assume @p706 (forall @t75 (= (tptp.subset @t152 @t69) (and @t579 @t340)))) % 8.12/8.35 (assume @p707 (forall @t19 (=> @t177 (=> (and @t573 (tptp.subset @t1 @t302)) @t769)))) % 8.12/8.35 (assume @p708 (forall @t19 (= @t778 @t154))) % 8.12/8.35 (assume @p709 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 8.12/8.35 (assume @p710 (forall @t6 (and @t490 (= (tptp.bottom_of_semilattstr @t273) tptp.empty_set)))) % 8.12/8.35 (assume @p711 (forall @t75 (not (and @t22 @t340 @t171)))) % 8.12/8.35 (assume @p712 (forall @t19 (= @t580 @t179))) % 8.12/8.35 (assume @p713 (forall @t6 (tptp.transitive @t303))) % 8.12/8.35 (assume @p714 (forall @t19 (and (not (and @t780 (forall @t131 (not @t779)))) (not (and (exists @t131 @t779) @t378))))) % 8.12/8.35 (assume @p715 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t268))) % 8.12/8.35 (assume @p716 (forall @t19 (= (tptp.set_difference @t154 @t11) @t359))) % 8.12/8.35 (assume @p717 (forall @t6 (=> @t64 (= @t363 (forall @t27 (=> @t61 (=> @t20 (tptp.in @t707 @t1)))))))) % 8.12/8.35 (assume @p718 (forall @t6 (=> @t255 (forall @t27 (=> @t234 (forall @t131 (=> @t229 (tptp.subset @t253 (tptp.lim_points_of_net @t1 @t69))))))))) % 8.12/8.35 (assume @p719 (forall @t6 (=> @t64 (and (not (and (not @t363) (forall @t27 (=> @t61 (not @t781))))) (not (and (exists @t27 (and @t61 @t781)) @t363)))))) % 8.12/8.35 (assume @p720 (forall @t6 (=> @t782 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 8.12/8.35 (assume @p721 (forall @t19 (=> @t57 (forall @t131 (=> @t164 (= @t784 (tptp.subset @t11 @t783))))))) % 8.12/8.35 (assume @p722 (forall @t6 (=> @t553 (forall @t27 (=> @t286 (=> @t321 (tptp.closed_subset @t731 @t1))))))) % 8.12/8.35 (assume @p723 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (tptp.subset @t785 @t209)))))) % 8.12/8.35 (assume @p724 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (tptp.subset @t295 @t11)))))) % 8.12/8.35 (assume @p725 (forall @t6 (=> @t782 (forall @t27 (=> @t150 (tptp.related @t1 @t207 @t11)))))) % 8.12/8.35 (assume @p726 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (forall @t131 (=> (tptp.in @t69 @t3) (= @t787 (forall @t184 (=> @t722 (=> @t786 @t290))))))))))) % 8.12/8.35 (assume @p727 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (tptp.subset @t742 @t263)))))) % 8.12/8.35 (assume @p728 (forall @t19 (=> @t179 (= @t11 @t778)))) % 8.12/8.35 (assume @p729 (forall @t261 (=> @t766 (=> @t312 (forall @t201 (= (tptp.in @t191 (tptp.relation_inverse_image @t169 @t69)) (and @t214 (tptp.in (tptp.apply @t169 @t191) @t69)))))))) % 8.12/8.35 (assume @p730 (forall @t6 (=> @t553 (forall @t27 (=> @t101 (exists @t131 (and @t333 (forall @t184 (=> @t722 (= @t210 @t786))) (= @t242 (tptp.meet_of_subsets @t3 @t69))))))))) % 8.12/8.35 (assume @p731 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (=> (tptp.subset @t361 @t262) (= @t785 @t209))))))) % 8.12/8.35 (assume @p732 (forall @t19 (=> @t389 @t724))) % 8.12/8.35 (assume @p733 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (=> (tptp.subset @t209 @t263) (= (tptp.relation_rng @t475) @t361))))))) % 8.12/8.35 (assume @p734 (forall @t19 (=> @t389 (=> @t312 (= (tptp.subset_difference @t1 @t353 @t449) @t726))))) % 8.12/8.35 (assume @p735 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (tptp.subset @t11 @t242)))))) % 8.12/8.35 (assume @p736 (forall @t19 (=> @t389 (=> @t312 (= @t728 (tptp.subset_difference @t1 @t353 @t452)))))) % 8.12/8.35 (assume @p737 (forall @t19 (= (tptp.set_difference @t1 @t359) @t159))) % 8.12/8.35 (assume @p738 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t377 (=> @t376 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t69)))))))))) % 8.12/8.35 (assume @p739 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 8.12/8.35 (assume @p740 (forall @t75 (=> (and @t22 @t788) (tptp.element @t1 @t69)))) % 8.12/8.35 (assume @p741 @t790) % 8.12/8.35 (assume @p742 (forall @t6 (=> @t64 (tptp.connected @t303)))) % 8.12/8.35 (assume @p743 (forall @t19 (and (not (and @t780 (forall @t131 (not @t791)))) (not (and (exists @t131 @t791) @t378))))) % 8.12/8.35 (assume @p744 (forall @t6 (= @t327 (tptp.incl_POSet @t56)))) % 8.12/8.35 (assume @p745 (forall @t6 (=> @t309 (and @t33 @t79 @t78 @t10 (= @t252 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 8.12/8.35 (assume @p746 (forall @t6 (=> @t292 (forall @t27 (=> @t57 (forall @t131 (=> @t419 (=> @t338 (tptp.in @t69 @t365))))))))) % 8.12/8.35 (assume @p747 (forall @t6 (=> @t553 (forall @t27 (=> @t101 @t560))))) % 8.12/8.35 (assume @p748 (forall @t6 (=> @t244 (forall @t27 (=> @t101 (and (=> @t370 @t792) (=> (and @t254 @t792) @t370))))))) % 8.12/8.35 (assume @p749 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t377 (=> @t376 (and (=> @t92 @t126) (=> @t94 @t544) (=> @t249 @t767) (=> @t217 @t545) (=> @t323 @t777)))))))))) % 8.12/8.35 (assume @p750 (forall @t6 (=> @t213 (=> @t108 (forall @t27 (=> @t552 (= (= @t11 @t395) (and (= @t262 @t361) (forall @t174 (and (=> @t793 @t360) (=> @t360 @t793))))))))))) % 8.12/8.35 (assume @p751 (forall @t75 (=> @t164 (not (and (tptp.in @t11 @t783) @t340))))) % 8.12/8.35 (assume @p752 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t377 (=> (and @t354 @t376) @t573)))))))) % 8.12/8.35 (assume @p753 (forall @t6 (=> @t213 (=> @t108 (and (= @t361 (tptp.relation_dom @t395)) (= @t209 (tptp.relation_rng @t395))))))) % 8.12/8.35 (assume @p754 (forall @t6 (=> @t553 (forall @t27 (=> (tptp.top_str @t11) (forall @t131 (=> @t243 (forall @t184 (=> (tptp.element @t169 (tptp.powerset @t14)) (and (=> (tptp.open_subset @t169 @t11) (= (tptp.interior @t11 @t169) @t169)) (=> (= @t257 @t69) @t296))))))))))) % 8.12/8.35 (assume @p755 (forall @t6 (=> @t93 (=> (forall @t189 @t576) @t268)))) % 8.12/8.35 (assume @p756 (forall @t19 (=> @t552 (=> (and @t124 (tptp.in @t1 @t263)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t794 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t794 @t11) @t1))))))) % 8.12/8.35 (assume @p757 (forall @t6 (=> @t255 (forall @t27 (=> @t101 (forall @t131 (=> @t149 (=> (and @t364 @t287) (tptp.point_neighbourhood @t11 @t1 @t69))))))))) % 8.12/8.35 (assume @p758 (forall @t75 (not (and @t22 @t788 @t139)))) % 8.12/8.35 (assume @p759 (forall @t19 (=> @t57 (= @t583 (not (= @t11 @t1)))))) % 8.12/8.35 (assume @p760 (forall @t6 (=> @t206 (forall @t27 (=> @t286 (not (and @t334 @t269))))))) % 8.12/8.35 (assume @p761 (forall @t6 (=> @t93 (= @t323 (tptp.is_well_founded_in @t1 @t216))))) % 8.12/8.35 (assume @p762 (forall @t6 (tptp.antisymmetric @t303))) % 8.12/8.35 (assume @p763 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 8.12/8.35 (assume @p764 (forall @t19 (not (and @t179 @t23)))) % 8.12/8.35 (assume @p765 (forall @t6 (=> @t5 (forall @t27 (=> @t145 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (forall @t201 (=> @t200 (forall @t226 (=> @t796 (=> (and @t259 @t685 @t795) @t306)))))))))))))) % 8.12/8.35 (assume @p766 (forall @t6 (=> @t5 (forall @t27 (=> (and @t143 @t145) (forall @t131 (=> @t149 (forall @t184 (=> @t183 (forall @t201 (=> @t200 (forall @t226 (=> @t796 (=> (and @t259 @t685 @t306 (tptp.in @t191 @t14) (tptp.in @t221 @t14)) @t795)))))))))))))) % 8.12/8.35 (assume @p767 (forall @t6 (=> @t213 (=> @t108 (tptp.one_to_one @t395))))) % 8.12/8.35 (assume @p768 (forall @t75 (=> (and @t179 @t784) (tptp.disjoint @t1 @t69)))) % 8.12/8.35 (assume @p769 (forall @t6 (=> @t93 (=> (or @t798 @t797) @t268)))) % 8.12/8.35 (assume @p770 (forall @t6 (=> @t93 (= @t798 @t797)))) % 8.12/8.35 (assume @p771 (forall @t19 (= (= (tptp.set_difference @t1 @t577) @t1) @t21))) % 8.12/8.35 (assume @p772 (forall @t19 (=> @t552 (forall @t131 (=> @t377 (= (= @t11 @t581) (and (= @t262 (tptp.set_intersection2 @t356 @t1)) (forall @t184 (=> (tptp.in @t169 @t262) (= (tptp.apply @t11 @t169) @t375)))))))))) % 8.12/8.35 (assume @p773 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t280))) % 8.12/8.35 (assume @p774 (forall @t6 (=> @t54 @t268))) % 8.12/8.35 (assume @p775 (forall @t261 (=> @t766 (=> @t171 (or @t269 (tptp.in @t765 @t739)))))) % 8.12/8.35 (assume @p776 (forall @t6 (=> @t64 (tptp.well_founded_relation @t303)))) % 8.12/8.35 (assume @p777 (forall @t6 (=> @t5 (forall @t27 (=> @t150 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 8.12/8.35 (assume @p778 (forall @t6 (=> @t255 (forall @t27 (=> @t101 (forall @t131 (=> @t149 (= @t787 (forall @t184 (=> (tptp.point_neighbourhood @t169 @t1 @t69) (not (tptp.disjoint @t169 @t11)))))))))))) % 8.12/8.35 (assume @p779 (forall @t19 (=> (tptp.subset @t280 @t577) @t180))) % 8.12/8.35 (assume @p780 (forall @t75 (=> @t377 (=> @t582 @t799)))) % 8.12/8.35 (assume @p781 (forall @t6 (and (= (tptp.relation_dom @t175) @t1) (= (tptp.relation_rng @t175) @t1)))) % 8.12/8.35 (assume @p782 (forall @t75 (=> @t377 (=> @t20 @t799)))) % 8.12/8.35 (assume @p783 (forall @t261 (=> @t652 (= (tptp.in @t366 (tptp.relation_composition (tptp.identity_relation @t69) @t169)) (and @t579 (tptp.in @t366 @t169)))))) % 8.12/8.35 (assume @p784 (forall @t19 (not (and @t22 @t132)))) % 8.12/8.35 (assume @p785 (forall @t6 (=> @t315 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t590 (tptp.related_reflexive @t314 @t336 (tptp.cast_to_el_of_LattPOSet @t1 @t69)))))))))) % 8.12/8.35 (assume @p786 (forall @t19 (and (= (tptp.pair_first @t366) @t1) (= (tptp.pair_second @t366) @t11)))) % 8.12/8.35 (assume @p787 (forall @t19 (not (and @t22 (forall @t131 (not (and @t287 (forall @t184 (not (and @t194 @t210)))))))))) % 8.12/8.35 (assume @p788 (forall @t6 (=> @t64 (tptp.well_ordering @t303)))) % 8.12/8.35 (assume @p789 (forall @t19 (tptp.subset @t1 @t154))) % 8.12/8.35 (assume @p790 (forall @t19 (= @t378 (= @t359 @t1)))) % 8.12/8.35 (assume @p791 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_dom @t732)) (and @t22 @t759))))) % 8.12/8.35 (assume @p792 (forall @t19 (=> @t177 (tptp.subset @t746 @t11)))) % 8.12/8.35 (assume @p793 (forall @t19 (not (and @t54 @t392 @t132)))) % 8.12/8.35 (assume @p794 (forall @t75 (=> @t377 (= @t760 (and @t759 (= @t11 @t762)))))) % 8.12/8.35 (assume @p795 (forall @t6 (=> @t206 (forall @t27 (=> @t205 (forall @t174 (=> @t301 (and (=> @t203 (tptp.is_eventually_in @t1 @t11 @t169)) (=> @t218 (tptp.is_often_in @t1 @t11 @t169)))))))))) % 8.12/8.35 (assume @p796 (forall @t6 (=> @t93 (= (tptp.well_orders @t1 @t216) @t354)))) % 8.12/8.35 (assume @p797 (forall @t75 (=> (and @t179 @t332) (tptp.subset (tptp.set_union2 @t1 @t69) @t11)))) % 8.12/8.35 (assume @p798 (forall @t75 (=> @t800 @t180))) % 8.12/8.35 (assume @p799 (forall @t19 (=> @t177 (= (tptp.relation_dom @t746) @t736)))) % 8.12/8.35 (assume @p800 (forall @t6 (=> @t206 (forall @t27 (=> @t150 (= (tptp.apply_as_element @t3 @t3 @t190 @t11) @t11)))))) % 8.12/8.35 (assume @p801 (forall @t19 (=> @t177 (= @t746 (tptp.relation_composition @t175 @t11))))) % 8.12/8.35 (assume @p802 (forall @t19 (=> @t177 (tptp.subset (tptp.relation_rng @t746) @t263)))) % 8.12/8.35 (assume @p803 (forall @t6 (= (tptp.union @t56) @t1))) % 8.12/8.35 (assume @p804 (forall @t261 (=> @t766 (=> @t648 (or (and @t269 @t292) (and @t228 (tptp.quasi_total @t169 @t1 @t69) (tptp.relation_of2_as_subset @t169 @t1 @t69))))))) % 8.12/8.35 (assume @p805 (forall @t6 (exists @t27 (and @t22 @t730 (forall @t131 (not (and @t287 (forall @t184 (not (and @t194 (forall @t201 (=> (tptp.subset @t191 @t69) @t260)))))))) @t729)))) % 8.12/8.35 (assume @p806 (forall @t75 (=> @t800 @t277))) % 8.12/8.35 (step @p807 :rule eq-symm :args (@t727 @t56)) % 8.12/8.35 (step @p808 :rule cong :premises (@p807) :args (@t789)) % 8.12/8.35 (step @p809 :rule cong :premises (@p808) :args (@t790)) % 8.12/8.35 (step @p810 :rule eq_resolve :premises (@p741 @p809)) % 8.12/8.35 (step @p811 :rule skolemize :premises (@p810)) % 8.12/8.35 (step @p812 :rule instantiate :premises (@p744) :args ((@list @t801))) % 8.12/8.35 (step @p813 :rule alpha_equiv :args (@t803 @t804 (@list (@var "BOUND_VARIABLE_23396" $$unsorted)))) % 8.12/8.35 (step @p814 :rule alpha_equiv :args (@t806 @t804 (@list (@var "BOUND_VARIABLE_23389" $$unsorted)))) % 8.12/8.35 (step @p815 :rule nary_cong :premises (@p814 @p813) :args (@t807)) % 8.12/8.35 (step @p816 :rule quant-miniscope-and :args ((= (forall @t6 (and @t805 @t802)) @t807))) % 8.12/8.35 (step @p817 :rule trans :premises (@p816 @p815)) % 8.12/8.35 (step @p818 :rule eq-symm :args (@t755 @t304)) % 8.12/8.35 (step @p819 :rule eq-symm :args (@t756 @t1)) % 8.12/8.35 (step @p820 :rule nary_cong :premises (@p819 @p818) :args (@t757)) % 8.12/8.35 (step @p821 :rule cong :premises (@p820) :args (@t758)) % 8.12/8.35 (step @p822 :rule trans :premises (@p821 @p817)) % 8.12/8.35 (step @p823 :rule eq_resolve :premises (@p640 @p822)) % 8.12/8.35 (step @p824 :rule and_elim :premises (@p823) :args (0)) % 8.12/8.35 (step @p825 :rule instantiate :premises (@p824) :args ((@list @t808))) % 8.12/8.35 (step @p826 :rule refl :args (@t812)) % 8.12/8.35 (step @p827 :rule refl :args (@t815)) % 8.12/8.35 (step @p828 :rule bool-double-not-elim :args (@t816)) % 8.12/8.35 (step @p829 :rule nary_cong :premises (@p828 @p827 @p826) :args ((or (not @t817) @t815 @t812))) % 8.12/8.35 (assume-push @p861 @t812) % 8.12/8.35 (assume-push @p862 @t811) % 8.12/8.35 (step @p832 :rule evaluate :args ((= false true))) % 8.12/8.38 (step @p833 :rule true_intro :premises (@p825)) % 8.12/8.38 (step @p834 :rule false_intro :premises (@p811)) % 8.12/8.38 (step @p835 :rule symm :premises (@p812)) % 8.12/8.38 (step @p836 :rule cong :premises (@p835) :args (@t810)) % 8.12/8.38 (step @p837 :rule refl :args (@t808)) % 8.12/8.38 (step @p838 :rule cong :premises (@p837 @p836) :args (@t811)) % 8.12/8.38 (step @p839 :rule trans :premises (@p838 @p834)) % 8.12/8.38 (step @p840 :rule symm :premises (@p839)) % 8.12/8.38 (step @p841 :rule trans :premises (@p840 @p833)) % 8.12/8.38 (step @p842 false :rule eq_resolve :premises (@p841 @p832)) % 8.12/8.38 (step-pop @p863 :rule scope :premises (@p842)) % 8.12/8.38 (step-pop @p864 :rule scope :premises (@p863)) % 8.12/8.38 (step @p843 :rule process_scope :premises (@p864) :args (false)) % 8.12/8.38 (assume-push @p865 @t817) % 8.12/8.38 (assume-push @p866 @t814) % 8.12/8.38 (assume-push @p867 @t811) % 8.12/8.38 (step @p834 :rule false_intro :premises (@p811)) % 8.12/8.38 (step @p835 :rule symm :premises (@p812)) % 8.12/8.38 (step @p836 :rule cong :premises (@p835) :args (@t810)) % 8.12/8.38 (step @p837 :rule refl :args (@t808)) % 8.12/8.38 (step @p838 :rule cong :premises (@p837 @p836) :args (@t811)) % 8.12/8.38 (step @p849 :rule trans :premises (@p838 @p834)) % 8.12/8.38 (step @p850 :rule false_elim :premises (@p849)) % 8.12/8.38 (step @p851 :rule and_intro :premises (@p850 @p825)) % 8.12/8.38 (step-pop @p868 :rule scope :premises (@p851)) % 8.12/8.38 (step-pop @p869 :rule scope :premises (@p868)) % 8.12/8.38 (step-pop @p870 :rule scope :premises (@p869)) % 8.12/8.38 (step @p852 :rule process_scope :premises (@p870) :args (@t818)) % 8.12/8.38 (step @p856 :rule implies_elim :premises (@p852)) % 8.12/8.38 (step @p857 :rule resolution :premises (@p856 @p843) :args (true @t818)) % 8.12/8.38 (step @p858 :rule not_and :premises (@p857)) % 8.12/8.38 (step @p859 :rule eq_resolve :premises (@p858 @p829)) % 8.12/8.38 (step @p860 false :rule chain_m_resolution :premises (@p859 @p825 @p812 @p811) :args (false (@list false false true) (@list @t811 @t814 @t816))) % 8.12/8.38 ) % 8.12/8.38 % SZS output end Proof % 8.12/8.38 % cvc5 exiting %------------------------------------------------------------------------------