%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU387+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:51:35 AM UTC 2026 % Result : Theorem 1.53s 1.79s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU387+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n026.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:06:55 EDT 2026 % 0.18/0.34 % CPUTime : % 0.45/0.70 %----Proving TF0_NAR, FOF, or CNF % 1.53/1.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.53/1.79 % SZS status Theorem % 1.53/1.79 % SZS output start Proof % 1.53/1.79 ( % 1.53/1.79 (declare-sort $$unsorted 0) % 1.53/1.79 (declare-const tptp.a_3_0_waybel_9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.preimage_subnetstr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.function_invverse_img_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.function_of_composition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.function (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.top_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.empty_set $$unsorted) % 1.53/1.79 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.apply_on_set_and_struct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.omega $$unsorted) % 1.53/1.79 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.lattice (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.apply_on_set_and_struct2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.centered (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.is_a_cluster_point_of_netstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.79 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.53/1.79 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.53/1.79 (define @t1 () (@var "A" $$unsorted)) % 1.53/1.79 (define @t2 () (tptp.the_InternalRel @t1)) % 1.53/1.79 (define @t3 () (tptp.the_carrier @t1)) % 1.53/1.79 (define @t4 () (tptp.strict_rel_str @t1)) % 1.53/1.79 (define @t5 () (tptp.rel_str @t1)) % 1.53/1.79 (define @t6 () (@list @t1)) % 1.53/1.79 (define @t7 () (tptp.the_L_meet @t1)) % 1.53/1.79 (define @t8 () (tptp.the_L_join @t1)) % 1.53/1.79 (define @t9 () (tptp.strict_latt_str @t1)) % 1.53/1.79 (define @t10 () (tptp.latt_str @t1)) % 1.53/1.79 (define @t11 () (@var "B" $$unsorted)) % 1.53/1.79 (define @t12 () (tptp.the_mapping @t1 @t11)) % 1.53/1.79 (define @t13 () (tptp.the_InternalRel @t11)) % 1.53/1.79 (define @t14 () (tptp.the_carrier @t11)) % 1.53/1.79 (define @t15 () (tptp.strict_net_str @t11 @t1)) % 1.53/1.79 (define @t16 () (tptp.net_str @t11 @t1)) % 1.53/1.79 (define @t17 () (tptp.one_sorted_str @t1)) % 1.53/1.79 (define @t18 () (and @t17 @t16)) % 1.53/1.79 (define @t19 () (@list @t1 @t11)) % 1.53/1.79 (define @t20 () (tptp.in @t11 @t1)) % 1.53/1.79 (define @t21 () (not @t20)) % 1.53/1.79 (define @t22 () (tptp.in @t1 @t11)) % 1.53/1.79 (define @t23 () (tptp.proper_subset @t11 @t1)) % 1.53/1.79 (define @t24 () (tptp.proper_subset @t1 @t11)) % 1.53/1.79 (define @t25 () (tptp.v1_xcmplx_0 @t11)) % 1.53/1.79 (define @t26 () (tptp.element @t11 @t1)) % 1.53/1.79 (define @t27 () (@list @t11)) % 1.53/1.79 (define @t28 () (tptp.v1_membered @t1)) % 1.53/1.79 (define @t29 () (tptp.join_complete_relstr @t1)) % 1.53/1.79 (define @t30 () (tptp.up_complete_relstr @t1)) % 1.53/1.79 (define @t31 () (tptp.reflexive_relstr @t1)) % 1.53/1.79 (define @t32 () (tptp.empty_carrier @t1)) % 1.53/1.79 (define @t33 () (not @t32)) % 1.53/1.79 (define @t34 () (tptp.complete_relstr @t1)) % 1.53/1.79 (define @t35 () (tptp.heyting_relstr @t1)) % 1.53/1.79 (define @t36 () (tptp.distributive_relstr @t1)) % 1.53/1.79 (define @t37 () (tptp.upper_bounded_relstr @t1)) % 1.53/1.79 (define @t38 () (tptp.with_infima_relstr @t1)) % 1.53/1.79 (define @t39 () (tptp.with_suprema_relstr @t1)) % 1.53/1.79 (define @t40 () (tptp.antisymmetric_relstr @t1)) % 1.53/1.79 (define @t41 () (tptp.transitive_relstr @t1)) % 1.53/1.79 (define @t42 () (tptp.boolean_relstr @t1)) % 1.53/1.79 (define @t43 () (and @t33 @t42)) % 1.53/1.79 (define @t44 () (tptp.v1_xreal_0 @t11)) % 1.53/1.79 (define @t45 () (tptp.v2_membered @t1)) % 1.53/1.79 (define @t46 () (tptp.lower_bounded_relstr @t1)) % 1.53/1.79 (define @t47 () (tptp.v1_rat_1 @t11)) % 1.53/1.79 (define @t48 () (tptp.v3_membered @t1)) % 1.53/1.79 (define @t49 () (tptp.bounded_relstr @t1)) % 1.53/1.79 (define @t50 () (tptp.v1_int_1 @t11)) % 1.53/1.79 (define @t51 () (tptp.v4_membered @t1)) % 1.53/1.79 (define @t52 () (tptp.natural @t11)) % 1.53/1.79 (define @t53 () (tptp.v5_membered @t1)) % 1.53/1.79 (define @t54 () (tptp.empty @t1)) % 1.53/1.79 (define @t55 () (tptp.v1_membered @t11)) % 1.53/1.79 (define @t56 () (tptp.powerset @t1)) % 1.53/1.79 (define @t57 () (tptp.element @t11 @t56)) % 1.53/1.79 (define @t58 () (tptp.v2_membered @t11)) % 1.53/1.79 (define @t59 () (tptp.v3_membered @t11)) % 1.53/1.79 (define @t60 () (tptp.v4_membered @t11)) % 1.53/1.79 (define @t61 () (tptp.ordinal @t11)) % 1.53/1.79 (define @t62 () (tptp.epsilon_connected @t11)) % 1.53/1.79 (define @t63 () (tptp.epsilon_transitive @t11)) % 1.53/1.79 (define @t64 () (tptp.ordinal @t1)) % 1.53/1.79 (define @t65 () (tptp.finite @t1)) % 1.53/1.79 (define @t66 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 1.53/1.79 (define @t67 () (tptp.preboolean @t1)) % 1.53/1.79 (define @t68 () (tptp.function @t1)) % 1.53/1.79 (define @t69 () (@var "C" $$unsorted)) % 1.53/1.79 (define @t70 () (tptp.quasi_total @t69 @t1 @t11)) % 1.53/1.79 (define @t71 () (tptp.function @t69)) % 1.53/1.79 (define @t72 () (and @t71 @t70)) % 1.53/1.79 (define @t73 () (tptp.v1_partfun1 @t69 @t1 @t11)) % 1.53/1.79 (define @t74 () (tptp.relation_of2 @t69 @t1 @t11)) % 1.53/1.79 (define @t75 () (@list @t1 @t11 @t69)) % 1.53/1.79 (define @t76 () (tptp.bounded_lattstr @t1)) % 1.53/1.79 (define @t77 () (tptp.upper_bounded_semilattstr @t1)) % 1.53/1.79 (define @t78 () (tptp.lower_bounded_semilattstr @t1)) % 1.53/1.79 (define @t79 () (tptp.lattice @t1)) % 1.53/1.79 (define @t80 () (tptp.join_absorbing @t1)) % 1.53/1.79 (define @t81 () (tptp.meet_absorbing @t1)) % 1.53/1.79 (define @t82 () (tptp.meet_associative @t1)) % 1.53/1.79 (define @t83 () (tptp.meet_commutative @t1)) % 1.53/1.79 (define @t84 () (tptp.join_associative @t1)) % 1.53/1.79 (define @t85 () (tptp.join_commutative @t1)) % 1.53/1.79 (define @t86 () (tptp.complete_latt_str @t1)) % 1.53/1.79 (define @t87 () (and @t33 @t85 @t84 @t83 @t82 @t81 @t80)) % 1.53/1.79 (define @t88 () (and @t33 @t79)) % 1.53/1.79 (define @t89 () (tptp.epsilon_connected @t1)) % 1.53/1.79 (define @t90 () (tptp.epsilon_transitive @t1)) % 1.53/1.79 (define @t91 () (and @t90 @t89)) % 1.53/1.79 (define @t92 () (tptp.reflexive @t1)) % 1.53/1.79 (define @t93 () (tptp.relation @t1)) % 1.53/1.79 (define @t94 () (tptp.transitive @t1)) % 1.53/1.79 (define @t95 () (tptp.relation @t69)) % 1.53/1.79 (define @t96 () (tptp.cartesian_product2 @t1 @t11)) % 1.53/1.79 (define @t97 () (tptp.element @t69 (tptp.powerset @t96))) % 1.53/1.79 (define @t98 () (tptp.filtered_subset @t11 @t1)) % 1.53/1.79 (define @t99 () (tptp.directed_subset @t11 @t1)) % 1.53/1.79 (define @t100 () (tptp.powerset @t3)) % 1.53/1.79 (define @t101 () (tptp.element @t11 @t100)) % 1.53/1.79 (define @t102 () (tptp.connected_relstr @t1)) % 1.53/1.79 (define @t103 () (and @t33 @t34)) % 1.53/1.79 (define @t104 () (tptp.v1_yellow_3 @t1)) % 1.53/1.79 (define @t105 () (tptp.natural @t1)) % 1.53/1.79 (define @t106 () (and @t90 @t89 @t64 @t105)) % 1.53/1.79 (define @t107 () (tptp.finite @t11)) % 1.53/1.79 (define @t108 () (tptp.one_to_one @t1)) % 1.53/1.79 (define @t109 () (and @t93 @t68 @t108)) % 1.53/1.79 (define @t110 () (and @t93 @t54 @t68)) % 1.53/1.79 (define @t111 () (tptp.one_to_one @t69)) % 1.53/1.79 (define @t112 () (and @t71 @t111 @t70 (tptp.onto @t69 @t1 @t11))) % 1.53/1.79 (define @t113 () (and @t71 @t70 (tptp.bijective @t69 @t1 @t11))) % 1.53/1.79 (define @t114 () (tptp.trivial_carrier @t1)) % 1.53/1.79 (define @t115 () (and @t33 @t31 @t114)) % 1.53/1.79 (define @t116 () (not @t104)) % 1.53/1.79 (define @t117 () (and @t33 @t76)) % 1.53/1.79 (define @t118 () (and @t33 @t78 @t77)) % 1.53/1.79 (define @t119 () (and @t90 @t89 @t64)) % 1.53/1.79 (define @t120 () (tptp.v2_waybel_3 @t1)) % 1.53/1.79 (define @t121 () (tptp.bijective @t11 @t1 @t1)) % 1.53/1.79 (define @t122 () (tptp.onto @t11 @t1 @t1)) % 1.53/1.79 (define @t123 () (tptp.quasi_total @t11 @t1 @t1)) % 1.53/1.79 (define @t124 () (tptp.one_to_one @t11)) % 1.53/1.79 (define @t125 () (tptp.function @t11)) % 1.53/1.79 (define @t126 () (tptp.reflexive @t11)) % 1.53/1.79 (define @t127 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 1.53/1.79 (define @t128 () (tptp.relation_of2 @t11 @t1 @t1)) % 1.53/1.79 (define @t129 () (tptp.v3_waybel_3 @t1)) % 1.53/1.79 (define @t130 () (and @t46 @t37)) % 1.53/1.79 (define @t131 () (@list @t69)) % 1.53/1.79 (define @t132 () (tptp.empty @t11)) % 1.53/1.79 (define @t133 () (not @t132)) % 1.53/1.79 (define @t134 () (tptp.complemented_lattstr @t1)) % 1.53/1.79 (define @t135 () (tptp.distributive_lattstr @t1)) % 1.53/1.79 (define @t136 () (tptp.boolean_lattstr @t1)) % 1.53/1.79 (define @t137 () (and @t33 @t136)) % 1.53/1.79 (define @t138 () (and @t33 @t35)) % 1.53/1.79 (define @t139 () (tptp.empty @t69)) % 1.53/1.79 (define @t140 () (not @t139)) % 1.53/1.79 (define @t141 () (not @t54)) % 1.53/1.79 (define @t142 () (and @t141 @t133)) % 1.53/1.79 (define @t143 () (tptp.modular_lattstr @t1)) % 1.53/1.79 (define @t144 () (tptp.full_subrelstr @t11 @t1)) % 1.53/1.79 (define @t145 () (tptp.transitive_relstr @t11)) % 1.53/1.79 (define @t146 () (tptp.subrelstr @t11 @t1)) % 1.53/1.79 (define @t147 () (and @t41 @t5)) % 1.53/1.79 (define @t148 () (tptp.complemented_relstr @t1)) % 1.53/1.79 (define @t149 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t69)) % 1.53/1.79 (define @t150 () (tptp.element @t69 @t3)) % 1.53/1.79 (define @t151 () (tptp.element @t11 @t3)) % 1.53/1.79 (define @t152 () (and @t33 @t17 @t151 @t150)) % 1.53/1.79 (define @t153 () (tptp.unordered_pair @t1 @t11)) % 1.53/1.79 (define @t154 () (tptp.set_union2 @t11 @t1)) % 1.53/1.79 (define @t155 () (tptp.set_union2 @t1 @t11)) % 1.53/1.79 (define @t156 () (tptp.join_commut @t1 @t11 @t69)) % 1.53/1.79 (define @t157 () (tptp.join_semilatt_str @t1)) % 1.53/1.79 (define @t158 () (and @t33 @t85 @t157 @t151 @t150)) % 1.53/1.79 (define @t159 () (tptp.set_intersection2 @t11 @t1)) % 1.53/1.79 (define @t160 () (tptp.set_intersection2 @t1 @t11)) % 1.53/1.79 (define @t161 () (tptp.meet_commut @t1 @t11 @t69)) % 1.53/1.79 (define @t162 () (tptp.meet_semilatt_str @t1)) % 1.53/1.79 (define @t163 () (and @t33 @t83 @t162 @t151 @t150)) % 1.53/1.79 (define @t164 () (tptp.subset_union2 @t1 @t11 @t69)) % 1.53/1.79 (define @t165 () (tptp.element @t69 @t56)) % 1.53/1.79 (define @t166 () (and @t57 @t165)) % 1.53/1.79 (define @t167 () (tptp.subset_intersection2 @t1 @t11 @t69)) % 1.53/1.79 (define @t168 () (tptp.ordinal_subset @t1 @t11)) % 1.53/1.79 (define @t169 () (and @t64 @t61)) % 1.53/1.79 (define @t170 () (@var "D" $$unsorted)) % 1.53/1.79 (define @t171 () (= @t69 @t170)) % 1.53/1.79 (define @t172 () (tptp.in @t69 @t1)) % 1.53/1.79 (define @t173 () (tptp.ordered_pair @t69 @t170)) % 1.53/1.79 (define @t174 () (tptp.in @t173 @t11)) % 1.53/1.79 (define @t175 () (@list @t69 @t170)) % 1.53/1.79 (define @t176 () (tptp.identity_relation @t1)) % 1.53/1.79 (define @t177 () (= @t11 @t176)) % 1.53/1.79 (define @t178 () (tptp.relation @t11)) % 1.53/1.79 (define @t179 () (tptp.subset @t11 @t1)) % 1.53/1.79 (define @t180 () (tptp.subset @t1 @t11)) % 1.53/1.79 (define @t181 () (= @t1 @t11)) % 1.53/1.79 (define @t182 () (tptp.related @t1 @t170 @t69)) % 1.53/1.79 (define @t183 () (tptp.relstr_element_smaller @t1 @t11 @t170)) % 1.53/1.79 (define @t184 () (tptp.element @t170 @t3)) % 1.53/1.79 (define @t185 () (@list @t170)) % 1.53/1.79 (define @t186 () (forall @t185 (=> @t184 (=> @t183 @t182)))) % 1.53/1.79 (define @t187 () (tptp.relstr_element_smaller @t1 @t11 @t69)) % 1.53/1.79 (define @t188 () (tptp.meet_on_relstr @t1 @t11)) % 1.53/1.79 (define @t189 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 1.53/1.79 (define @t190 () (@list @t11 @t69)) % 1.53/1.79 (define @t191 () (tptp.identity_on_carrier @t1)) % 1.53/1.79 (define @t192 () (@var "E" $$unsorted)) % 1.53/1.79 (define @t193 () (tptp.ordered_pair @t170 @t192)) % 1.53/1.79 (define @t194 () (tptp.in @t193 @t1)) % 1.53/1.79 (define @t195 () (tptp.in @t170 @t11)) % 1.53/1.79 (define @t196 () (tptp.in @t193 @t69)) % 1.53/1.79 (define @t197 () (@list @t170 @t192)) % 1.53/1.79 (define @t198 () (tptp.relation_dom_restriction @t1 @t11)) % 1.53/1.79 (define @t199 () (tptp.in (tptp.apply_netmap @t1 @t11 @t192) @t69)) % 1.53/1.79 (define @t200 () (tptp.related @t11 @t170 @t192)) % 1.53/1.79 (define @t201 () (tptp.element @t192 @t14)) % 1.53/1.79 (define @t202 () (@list @t192)) % 1.53/1.79 (define @t203 () (tptp.element @t170 @t14)) % 1.53/1.79 (define @t204 () (tptp.is_eventually_in @t1 @t11 @t69)) % 1.53/1.79 (define @t205 () (not (tptp.empty_carrier @t11))) % 1.53/1.79 (define @t206 () (and @t205 @t16)) % 1.53/1.79 (define @t207 () (and @t33 @t17)) % 1.53/1.79 (define @t208 () (tptp.bottom_of_relstr @t1)) % 1.53/1.79 (define @t209 () (tptp.in @t192 @t11)) % 1.53/1.79 (define @t210 () (tptp.relation_dom @t1)) % 1.53/1.79 (define @t211 () (tptp.in @t170 @t69)) % 1.53/1.79 (define @t212 () (tptp.relation_image @t1 @t11)) % 1.53/1.79 (define @t213 () (= @t69 @t212)) % 1.53/1.79 (define @t214 () (and @t93 @t68)) % 1.53/1.79 (define @t215 () (tptp.in @t192 @t1)) % 1.53/1.79 (define @t216 () (tptp.relation_rng_restriction @t1 @t11)) % 1.53/1.79 (define @t217 () (tptp.relation_field @t1)) % 1.53/1.79 (define @t218 () (tptp.antisymmetric @t1)) % 1.53/1.79 (define @t219 () (tptp.is_often_in @t1 @t11 @t69)) % 1.53/1.79 (define @t220 () (@var "G" $$unsorted)) % 1.53/1.79 (define @t221 () (tptp.the_carrier @t69)) % 1.53/1.79 (define @t222 () (@var "F" $$unsorted)) % 1.53/1.79 (define @t223 () (tptp.related @t69 @t222 @t220)) % 1.53/1.79 (define @t224 () (tptp.element @t220 @t221)) % 1.53/1.79 (define @t225 () (@list @t220)) % 1.53/1.79 (define @t226 () (tptp.element @t222 @t221)) % 1.53/1.79 (define @t227 () (@list @t222)) % 1.53/1.79 (define @t228 () (tptp.the_mapping @t1 @t69)) % 1.53/1.79 (define @t229 () (tptp.function @t170)) % 1.53/1.79 (define @t230 () (tptp.subnet @t69 @t1 @t11)) % 1.53/1.79 (define @t231 () (tptp.net_str @t69 @t1)) % 1.53/1.79 (define @t232 () (not (tptp.empty_carrier @t69))) % 1.53/1.79 (define @t233 () (and @t232 (tptp.transitive_relstr @t69) (tptp.directed_relstr @t69) @t231)) % 1.53/1.79 (define @t234 () (tptp.directed_relstr @t11)) % 1.53/1.79 (define @t235 () (and @t205 @t145 @t234 @t16)) % 1.53/1.79 (define @t236 () (tptp.apply @t1 @t170)) % 1.53/1.79 (define @t237 () (tptp.in @t170 @t210)) % 1.53/1.79 (define @t238 () (= @t69 (tptp.relation_inverse_image @t1 @t11))) % 1.53/1.79 (define @t239 () (tptp.meet @t1 @t11 @t69)) % 1.53/1.79 (define @t240 () (forall @t131 (=> @t150 (and (= @t239 @t11) (= (tptp.meet @t1 @t69 @t11) @t11))))) % 1.53/1.79 (define @t241 () (and @t33 @t162)) % 1.53/1.79 (define @t242 () (tptp.element @t192 @t100)) % 1.53/1.79 (define @t243 () (tptp.topstr_closure @t1 @t11)) % 1.53/1.79 (define @t244 () (tptp.element @t69 @t100)) % 1.53/1.79 (define @t245 () (tptp.top_str @t1)) % 1.53/1.79 (define @t246 () (tptp.ordered_pair @t192 @t170)) % 1.53/1.79 (define @t247 () (tptp.rel_str @t11)) % 1.53/1.79 (define @t248 () (tptp.the_carrier @t170)) % 1.53/1.79 (define @t249 () (tptp.preimage_subnetstr @t1 @t11 @t69)) % 1.53/1.79 (define @t250 () (= @t170 @t249)) % 1.53/1.79 (define @t251 () (tptp.strict_net_str @t170 @t1)) % 1.53/1.79 (define @t252 () (tptp.connected @t1)) % 1.53/1.79 (define @t253 () (tptp.latt_set_smaller @t1 @t11 @t69)) % 1.53/1.79 (define @t254 () (and @t33 @t10)) % 1.53/1.79 (define @t255 () (tptp.bottom_of_semilattstr @t1)) % 1.53/1.79 (define @t256 () (tptp.lim_points_of_net @t1 @t11)) % 1.53/1.79 (define @t257 () (tptp.topological_space @t1)) % 1.53/1.79 (define @t258 () (and @t33 @t257 @t245)) % 1.53/1.79 (define @t259 () (tptp.ordered_pair @t11 @t69)) % 1.53/1.79 (define @t260 () (tptp.interior @t1 @t69)) % 1.53/1.79 (define @t261 () (tptp.point_neighbourhood @t69 @t1 @t11)) % 1.53/1.79 (define @t262 () (= @t192 @t69)) % 1.53/1.79 (define @t263 () (tptp.in @t192 @t170)) % 1.53/1.79 (define @t264 () (@list @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t265 () (tptp.relation_dom @t11)) % 1.53/1.79 (define @t266 () (tptp.relation_rng @t11)) % 1.53/1.79 (define @t267 () (tptp.in (tptp.ordered_pair @t11 @t170) @t1)) % 1.53/1.79 (define @t268 () (tptp.in @t259 @t1)) % 1.53/1.79 (define @t269 () (@list @t11 @t69 @t170)) % 1.53/1.79 (define @t270 () (= @t69 tptp.empty_set)) % 1.53/1.79 (define @t271 () (= @t1 tptp.empty_set)) % 1.53/1.79 (define @t272 () (= @t11 tptp.empty_set)) % 1.53/1.79 (define @t273 () (tptp.relation_dom_as_subset @t1 @t11 @t69)) % 1.53/1.79 (define @t274 () (tptp.relation_of2_as_subset @t69 @t1 @t11)) % 1.53/1.79 (define @t275 () (tptp.element @t170 @t56)) % 1.53/1.79 (define @t276 () (tptp.boole_lattice @t1)) % 1.53/1.79 (define @t277 () (tptp.latt_str @t11)) % 1.53/1.79 (define @t278 () (tptp.join @t1 @t11 @t69)) % 1.53/1.79 (define @t279 () (and @t33 @t157)) % 1.53/1.79 (define @t280 () (= @t11 @t69)) % 1.53/1.79 (define @t281 () (= @t1 @t173)) % 1.53/1.79 (define @t282 () (exists @t190 (= @t1 @t259))) % 1.53/1.79 (define @t283 () (tptp.singleton @t1)) % 1.53/1.79 (define @t284 () (tptp.succ @t1)) % 1.53/1.79 (define @t285 () (tptp.the_topology @t1)) % 1.53/1.79 (define @t286 () (tptp.in @t11 @t285)) % 1.53/1.79 (define @t287 () (tptp.union_of_subsets @t3 @t11)) % 1.53/1.79 (define @t288 () (tptp.powerset @t100)) % 1.53/1.79 (define @t289 () (tptp.element @t11 @t288)) % 1.53/1.79 (define @t290 () (tptp.in @t69 @t11)) % 1.53/1.79 (define @t291 () (tptp.is_reflexive_in @t1 @t11)) % 1.53/1.79 (define @t292 () (= @t11 (tptp.set_meet @t1))) % 1.53/1.79 (define @t293 () (tptp.in @t69 @t170)) % 1.53/1.79 (define @t294 () (tptp.in @t170 @t1)) % 1.53/1.79 (define @t295 () (not @t271)) % 1.53/1.79 (define @t296 () (tptp.empty @t3)) % 1.53/1.79 (define @t297 () (tptp.subset_complement @t3 @t11)) % 1.53/1.79 (define @t298 () (tptp.interior @t1 @t11)) % 1.53/1.79 (define @t299 () (tptp.open_subset @t69 @t1)) % 1.53/1.79 (define @t300 () (tptp.open_subsets @t11 @t1)) % 1.53/1.79 (define @t301 () (tptp.related @t1 @t170 @t192)) % 1.53/1.79 (define @t302 () (tptp.element @t192 @t3)) % 1.53/1.79 (define @t303 () (= @t170 @t11)) % 1.53/1.79 (define @t304 () (tptp.subset @t69 @t170)) % 1.53/1.79 (define @t305 () (tptp.relation_field @t11)) % 1.53/1.79 (define @t306 () (tptp.inclusion_relation @t1)) % 1.53/1.79 (define @t307 () (tptp.inclusion_order @t1)) % 1.53/1.79 (define @t308 () (tptp.incl_POSet @t1)) % 1.53/1.79 (define @t309 () (tptp.related @t1 @t69 @t170)) % 1.53/1.79 (define @t310 () (tptp.upper_relstr_subset @t11 @t1)) % 1.53/1.79 (define @t311 () (tptp.join_of_latt_set @t1 @t11)) % 1.53/1.79 (define @t312 () (and @t33 @t79 @t86 @t10)) % 1.53/1.79 (define @t313 () (tptp.meet_of_latt_set @t1 @t11)) % 1.53/1.79 (define @t314 () (tptp.set_meet @t11)) % 1.53/1.79 (define @t315 () (not @t272)) % 1.53/1.79 (define @t316 () (tptp.k2_lattice3 @t1)) % 1.53/1.79 (define @t317 () (tptp.poset_of_lattice @t1)) % 1.53/1.79 (define @t318 () (and @t33 @t79 @t10)) % 1.53/1.79 (define @t319 () (= @t11 @t170)) % 1.53/1.79 (define @t320 () (tptp.empty_carrier_subset @t1)) % 1.53/1.79 (define @t321 () (tptp.in @t173 @t1)) % 1.53/1.79 (define @t322 () (tptp.union @t1)) % 1.53/1.79 (define @t323 () (= @t11 @t322)) % 1.53/1.79 (define @t324 () (forall @t131 (=> @t244 (=> @t290 (tptp.closed_subset @t69 @t1))))) % 1.53/1.79 (define @t325 () (tptp.closed_subsets @t11 @t1)) % 1.53/1.79 (define @t326 () (tptp.well_founded_relation @t1)) % 1.53/1.79 (define @t327 () (tptp.related @t1 @t11 @t170)) % 1.53/1.79 (define @t328 () (tptp.related @t1 @t11 @t69)) % 1.53/1.79 (define @t329 () (forall @t27 (=> @t151 (forall @t131 (=> @t150 (forall @t185 (=> @t184 (=> (and @t328 @t309) @t327)))))))) % 1.53/1.79 (define @t330 () (tptp.boole_POSet @t1)) % 1.53/1.79 (define @t331 () (tptp.ordered_pair @t192 @t222)) % 1.53/1.79 (define @t332 () (tptp.in @t222 @t11)) % 1.53/1.79 (define @t333 () (@list @t192 @t222)) % 1.53/1.79 (define @t334 () (tptp.finite @t69)) % 1.53/1.79 (define @t335 () (tptp.subset @t69 @t11)) % 1.53/1.79 (define @t336 () (tptp.element @t69 @t288)) % 1.53/1.79 (define @t337 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 1.53/1.79 (define @t338 () (tptp.compact_top_space @t1)) % 1.53/1.79 (define @t339 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 1.53/1.79 (define @t340 () (tptp.below @t1 @t11 @t69)) % 1.53/1.79 (define @t341 () (not @t290)) % 1.53/1.79 (define @t342 () (not @t280)) % 1.53/1.79 (define @t343 () (tptp.in @t11 @t69)) % 1.53/1.79 (define @t344 () (tptp.cast_as_carrier_subset @t1)) % 1.53/1.79 (define @t345 () (forall @t131 (=> @t172 @t290))) % 1.53/1.79 (define @t346 () (not @t270)) % 1.53/1.79 (define @t347 () (tptp.is_well_founded_in @t1 @t11)) % 1.53/1.79 (define @t348 () (tptp.apply @t1 @t11)) % 1.53/1.79 (define @t349 () (= @t69 @t348)) % 1.53/1.79 (define @t350 () (tptp.in @t11 @t210)) % 1.53/1.79 (define @t351 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 1.53/1.79 (define @t352 () (tptp.the_carrier @t317)) % 1.53/1.79 (define @t353 () (tptp.element @t11 @t352)) % 1.53/1.79 (define @t354 () (tptp.in (tptp.ordered_pair @t170 @t69) @t1)) % 1.53/1.79 (define @t355 () (tptp.is_antisymmetric_in @t1 @t11)) % 1.53/1.79 (define @t356 () (tptp.cast_to_subset @t1)) % 1.53/1.79 (define @t357 () (tptp.well_ordering @t1)) % 1.53/1.79 (define @t358 () (tptp.relation_rng @t69)) % 1.53/1.79 (define @t359 () (tptp.relation_dom @t69)) % 1.53/1.79 (define @t360 () (= @t359 @t1)) % 1.53/1.79 (define @t361 () (tptp.equipotent @t1 @t11)) % 1.53/1.79 (define @t362 () (tptp.set_difference @t1 @t11)) % 1.53/1.79 (define @t363 () (and @t237 (= @t69 @t236))) % 1.53/1.79 (define @t364 () (tptp.relation_rng @t1)) % 1.53/1.79 (define @t365 () (= @t11 @t364)) % 1.53/1.79 (define @t366 () (tptp.being_limit_ordinal @t1)) % 1.53/1.79 (define @t367 () (tptp.open_subset @t11 @t1)) % 1.53/1.79 (define @t368 () (tptp.subset_complement @t1 @t11)) % 1.53/1.79 (define @t369 () (tptp.ordered_pair @t1 @t11)) % 1.53/1.79 (define @t370 () (tptp.is_connected_in @t1 @t11)) % 1.53/1.79 (define @t371 () (tptp.is_transitive_in @t1 @t11)) % 1.53/1.79 (define @t372 () (tptp.directed_relstr @t1)) % 1.53/1.79 (define @t373 () (tptp.subset_difference @t3 @t344 @t11)) % 1.53/1.79 (define @t374 () (tptp.closed_subset @t11 @t1)) % 1.53/1.79 (define @t375 () (tptp.cartesian_product2 @t11 @t11)) % 1.53/1.79 (define @t376 () (tptp.relation_restriction @t1 @t11)) % 1.53/1.79 (define @t377 () (tptp.relation_inverse @t1)) % 1.53/1.79 (define @t378 () (= @t222 @t192)) % 1.53/1.79 (define @t379 () (tptp.element @t222 @t14)) % 1.53/1.79 (define @t380 () (tptp.netstr_restr_to_element @t1 @t11 @t69)) % 1.53/1.79 (define @t381 () (tptp.element @t69 @t14)) % 1.53/1.79 (define @t382 () (tptp.apply @t69 @t192)) % 1.53/1.79 (define @t383 () (tptp.apply @t69 @t170)) % 1.53/1.79 (define @t384 () (tptp.relation_isomorphism @t1 @t11 @t69)) % 1.53/1.79 (define @t385 () (and @t95 @t71)) % 1.53/1.79 (define @t386 () (tptp.disjoint @t1 @t11)) % 1.53/1.79 (define @t387 () (= @t170 @t69)) % 1.53/1.79 (define @t388 () (tptp.relstr_set_smaller @t1 @t11 @t170)) % 1.53/1.79 (define @t389 () (forall @t185 (=> @t184 (=> @t388 @t309)))) % 1.53/1.79 (define @t390 () (tptp.relstr_set_smaller @t1 @t11 @t69)) % 1.53/1.79 (define @t391 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 1.53/1.79 (define @t392 () (tptp.relation_of_lattice @t1)) % 1.53/1.79 (define @t393 () (tptp.relation_composition @t1 @t11)) % 1.53/1.79 (define @t394 () (@list @t69 @t170 @t192)) % 1.53/1.79 (define @t395 () (tptp.complements_of_subsets @t1 @t11)) % 1.53/1.79 (define @t396 () (tptp.powerset @t56)) % 1.53/1.79 (define @t397 () (tptp.element @t11 @t396)) % 1.53/1.79 (define @t398 () (tptp.apply_netmap @t1 @t11 @t69)) % 1.53/1.79 (define @t399 () (not @t181)) % 1.53/1.79 (define @t400 () (tptp.subrelstr @t69 @t11)) % 1.53/1.79 (define @t401 () (tptp.subnetstr @t69 @t1 @t11)) % 1.53/1.79 (define @t402 () (tptp.function_inverse @t1)) % 1.53/1.79 (define @t403 () (tptp.is_often_in @t1 @t11 @t170)) % 1.53/1.79 (define @t404 () (tptp.point_neighbourhood @t170 @t1 @t69)) % 1.53/1.79 (define @t405 () (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t69)) % 1.53/1.79 (define @t406 () (tptp.join_on_relstr @t1 @t11)) % 1.53/1.79 (define @t407 () (tptp.full_subnetstr @t69 @t1 @t11)) % 1.53/1.79 (define @t408 () (tptp.rel_str_of @t1 @t11)) % 1.53/1.79 (define @t409 () (tptp.strict_rel_str @t408)) % 1.53/1.79 (define @t410 () (tptp.net_str_of @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t411 () (tptp.strict_net_str @t410 @t1)) % 1.53/1.79 (define @t412 () (tptp.relation_of2 @t170 @t11 @t3)) % 1.53/1.79 (define @t413 () (tptp.quasi_total @t170 @t11 @t3)) % 1.53/1.79 (define @t414 () (tptp.relation_of2 @t69 @t11 @t11)) % 1.53/1.79 (define @t415 () (and @t17 @t414 @t229 @t413 @t412)) % 1.53/1.79 (define @t416 () (tptp.latt_str_of @t1 @t11 @t69)) % 1.53/1.79 (define @t417 () (tptp.strict_latt_str @t416)) % 1.53/1.79 (define @t418 () (tptp.cartesian_product2 @t1 @t1)) % 1.53/1.79 (define @t419 () (tptp.relation_of2 @t69 @t418 @t1)) % 1.53/1.79 (define @t420 () (tptp.quasi_total @t69 @t418 @t1)) % 1.53/1.79 (define @t421 () (tptp.relation_of2 @t11 @t418 @t1)) % 1.53/1.79 (define @t422 () (tptp.quasi_total @t11 @t418 @t1)) % 1.53/1.79 (define @t423 () (and @t125 @t422 @t421 @t71 @t420 @t419)) % 1.53/1.79 (define @t424 () (tptp.k8_filter_1 @t1 @t11)) % 1.53/1.79 (define @t425 () (tptp.k10_filter_1 @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t426 () (tptp.lattice @t11)) % 1.53/1.79 (define @t427 () (and @t33 @t79 @t10 @t205 @t426 @t277 @t150 @t203)) % 1.53/1.79 (define @t428 () (tptp.ordered_pair_as_product_element @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t429 () (tptp.element @t69 @t1)) % 1.53/1.79 (define @t430 () (and @t141 @t133 @t429 (tptp.element @t170 @t11))) % 1.53/1.79 (define @t431 () (tptp.strict_latt_str @t276)) % 1.53/1.79 (define @t432 () (tptp.k1_pcomps_1 @t1)) % 1.53/1.79 (define @t433 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 1.53/1.79 (define @t434 () (and @t245 @t101)) % 1.53/1.79 (define @t435 () (tptp.apply_on_structs @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t436 () (tptp.relation_of2 @t69 @t3 @t14)) % 1.53/1.79 (define @t437 () (tptp.quasi_total @t69 @t3 @t14)) % 1.53/1.79 (define @t438 () (tptp.one_sorted_str @t11)) % 1.53/1.79 (define @t439 () (and @t33 @t17 @t205 @t438 @t71 @t437 @t436 @t184)) % 1.53/1.79 (define @t440 () (tptp.apply_binary_as_element @t1 @t11 @t69 @t170 @t192 @t222)) % 1.53/1.79 (define @t441 () (and @t141 @t133 @t229 (tptp.quasi_total @t170 @t96 @t69) (tptp.relation_of2 @t170 @t96 @t69) (tptp.element @t192 @t1) (tptp.element @t222 @t11))) % 1.53/1.79 (define @t442 () (@list @t1 @t11 @t69 @t170 @t192 @t222)) % 1.53/1.79 (define @t443 () (tptp.partfun_dom_restriction @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t444 () (and @t71 @t74)) % 1.53/1.79 (define @t445 () (tptp.strict_rel_str @t308)) % 1.53/1.79 (define @t446 () (tptp.antisymmetric_relstr @t317)) % 1.53/1.79 (define @t447 () (tptp.transitive_relstr @t317)) % 1.53/1.79 (define @t448 () (tptp.reflexive_relstr @t317)) % 1.53/1.79 (define @t449 () (tptp.strict_rel_str @t317)) % 1.53/1.79 (define @t450 () (and @t33 @t17 @t205 @t16 @t381)) % 1.53/1.79 (define @t451 () (tptp.rel_str @t330)) % 1.53/1.79 (define @t452 () (tptp.strict_rel_str @t330)) % 1.53/1.79 (define @t453 () (forall @t6 (and @t452 @t451))) % 1.53/1.79 (define @t454 () (tptp.apply_on_set_and_struct @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t455 () (tptp.element @t170 @t1)) % 1.53/1.79 (define @t456 () (tptp.relation_of2 @t69 @t1 @t14)) % 1.53/1.79 (define @t457 () (tptp.quasi_total @t69 @t1 @t14)) % 1.53/1.79 (define @t458 () (and @t141 @t205 @t247 @t71 @t457 @t456 @t455)) % 1.53/1.79 (define @t459 () (tptp.relation @t377)) % 1.53/1.79 (define @t460 () (tptp.function_invverse_img_as_carrier_subset @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t461 () (and @t17 @t438 @t71 @t437 @t436)) % 1.53/1.79 (define @t462 () (tptp.relation @t393)) % 1.53/1.79 (define @t463 () (and @t93 @t178)) % 1.53/1.79 (define @t464 () (tptp.powerset @t11)) % 1.53/1.79 (define @t465 () (tptp.relation_rng_as_subset @t1 @t11 @t69)) % 1.53/1.79 (define @t466 () (tptp.union_of_subsets @t1 @t11)) % 1.53/1.79 (define @t467 () (tptp.strict_net_str @t380 @t1)) % 1.53/1.79 (define @t468 () (tptp.identity_as_relation_of @t1)) % 1.53/1.79 (define @t469 () (tptp.relation @t176)) % 1.53/1.79 (define @t470 () (tptp.meet_of_subsets @t1 @t11)) % 1.53/1.79 (define @t471 () (tptp.subset_difference @t1 @t11 @t69)) % 1.53/1.79 (define @t472 () (tptp.strict_net_str @t249 @t1)) % 1.53/1.79 (define @t473 () (tptp.function_of_composition @t1 @t11 @t69 @t170 @t192)) % 1.53/1.79 (define @t474 () (tptp.function @t192)) % 1.53/1.79 (define @t475 () (tptp.quasi_total @t170 @t1 @t11)) % 1.53/1.79 (define @t476 () (and @t133 @t229 @t475 (tptp.relation_of2 @t170 @t1 @t11) @t474 (tptp.quasi_total @t192 @t11 @t69) (tptp.relation_of2 @t192 @t11 @t69))) % 1.53/1.79 (define @t477 () (@list @t1 @t11 @t69 @t170 @t192)) % 1.53/1.79 (define @t478 () (tptp.relation @t198)) % 1.53/1.79 (define @t479 () (tptp.apply_on_set_and_struct2 @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t480 () (and @t141 @t205 @t438 @t71 @t457 @t456 @t455)) % 1.53/1.79 (define @t481 () (tptp.apply_as_element @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t482 () (and @t141 @t71 @t70 @t74 @t455)) % 1.53/1.79 (define @t483 () (tptp.relation @t216)) % 1.53/1.79 (define @t484 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t69 @t170)) % 1.53/1.79 (define @t485 () (and @t33 @t257 @t245 @t151)) % 1.53/1.79 (define @t486 () (and @t33 @t17 @t205 @t145 @t234 @t16)) % 1.53/1.79 (define @t487 () (tptp.cartesian_product2 @t3 @t3)) % 1.53/1.79 (define @t488 () (tptp.quasi_total @t7 @t487 @t3)) % 1.53/1.79 (define @t489 () (tptp.function @t7)) % 1.53/1.79 (define @t490 () (tptp.quasi_total @t12 @t14 @t3)) % 1.53/1.79 (define @t491 () (tptp.function @t12)) % 1.53/1.79 (define @t492 () (tptp.quasi_total @t8 @t487 @t3)) % 1.53/1.79 (define @t493 () (tptp.function @t8)) % 1.53/1.79 (define @t494 () (tptp.finite @t160)) % 1.53/1.79 (define @t495 () (tptp.relation_composition @t11 @t1)) % 1.53/1.79 (define @t496 () (and @t54 @t178)) % 1.53/1.79 (define @t497 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.53/1.79 (define @t498 () (tptp.relation tptp.empty_set)) % 1.53/1.79 (define @t499 () (tptp.empty tptp.empty_set)) % 1.53/1.79 (define @t500 () (tptp.relation_empty_yielding @t1)) % 1.53/1.79 (define @t501 () (and @t93 @t500)) % 1.53/1.79 (define @t502 () (tptp.relation @t2)) % 1.53/1.79 (define @t503 () (and @t65 @t107)) % 1.53/1.79 (define @t504 () (not (tptp.empty @t283))) % 1.53/1.79 (define @t505 () (not (tptp.empty @t56))) % 1.53/1.79 (define @t506 () (tptp.boolean_lattstr @t276)) % 1.53/1.79 (define @t507 () (tptp.complemented_lattstr @t276)) % 1.53/1.79 (define @t508 () (tptp.bounded_lattstr @t276)) % 1.53/1.79 (define @t509 () (tptp.upper_bounded_semilattstr @t276)) % 1.53/1.79 (define @t510 () (tptp.lower_bounded_semilattstr @t276)) % 1.53/1.79 (define @t511 () (tptp.modular_lattstr @t276)) % 1.53/1.79 (define @t512 () (tptp.distributive_lattstr @t276)) % 1.53/1.79 (define @t513 () (tptp.lattice @t276)) % 1.53/1.79 (define @t514 () (tptp.join_absorbing @t276)) % 1.53/1.79 (define @t515 () (tptp.meet_absorbing @t276)) % 1.53/1.79 (define @t516 () (tptp.meet_associative @t276)) % 1.53/1.79 (define @t517 () (tptp.meet_commutative @t276)) % 1.53/1.79 (define @t518 () (tptp.join_associative @t276)) % 1.53/1.79 (define @t519 () (tptp.join_commutative @t276)) % 1.53/1.79 (define @t520 () (not (tptp.empty_carrier @t276))) % 1.53/1.79 (define @t521 () (not (tptp.empty @t284))) % 1.53/1.79 (define @t522 () (tptp.distributive_relstr @t330)) % 1.53/1.79 (define @t523 () (tptp.join_complete_relstr @t330)) % 1.53/1.79 (define @t524 () (tptp.up_complete_relstr @t330)) % 1.53/1.79 (define @t525 () (tptp.bounded_relstr @t330)) % 1.53/1.79 (define @t526 () (tptp.upper_bounded_relstr @t330)) % 1.53/1.79 (define @t527 () (tptp.lower_bounded_relstr @t330)) % 1.53/1.79 (define @t528 () (tptp.complete_relstr @t330)) % 1.53/1.79 (define @t529 () (tptp.with_infima_relstr @t330)) % 1.53/1.79 (define @t530 () (tptp.with_suprema_relstr @t330)) % 1.53/1.79 (define @t531 () (tptp.antisymmetric_relstr @t330)) % 1.53/1.79 (define @t532 () (tptp.transitive_relstr @t330)) % 1.53/1.79 (define @t533 () (tptp.reflexive_relstr @t330)) % 1.53/1.79 (define @t534 () (not (tptp.empty_carrier @t330))) % 1.53/1.79 (define @t535 () (forall @t6 (and @t534 @t452 @t533 @t532 @t531 @t530 @t529 @t528 @t527 @t526 @t525 @t524 @t523 @t522))) % 1.53/1.79 (define @t536 () (tptp.boolean_relstr @t330)) % 1.53/1.79 (define @t537 () (tptp.complemented_relstr @t330)) % 1.53/1.79 (define @t538 () (tptp.heyting_relstr @t330)) % 1.53/1.79 (define @t539 () (not (tptp.v1_yellow_3 @t330))) % 1.53/1.79 (define @t540 () (tptp.rel_str_of @t283 @t11)) % 1.53/1.79 (define @t541 () (tptp.with_infima_relstr @t317)) % 1.53/1.79 (define @t542 () (tptp.with_suprema_relstr @t317)) % 1.53/1.79 (define @t543 () (not (tptp.empty_carrier @t317))) % 1.53/1.79 (define @t544 () (tptp.v1_membered @t160)) % 1.53/1.79 (define @t545 () (tptp.v1_membered @t159)) % 1.53/1.79 (define @t546 () (tptp.v2_membered @t160)) % 1.53/1.79 (define @t547 () (tptp.ordinal @t284)) % 1.53/1.79 (define @t548 () (tptp.epsilon_connected @t284)) % 1.53/1.79 (define @t549 () (tptp.epsilon_transitive @t284)) % 1.53/1.79 (define @t550 () (not (tptp.empty @t153))) % 1.53/1.79 (define @t551 () (tptp.function @t176)) % 1.53/1.79 (define @t552 () (tptp.v1_partfun1 @t8 @t487 @t3)) % 1.53/1.79 (define @t553 () (tptp.relation @t8)) % 1.53/1.79 (define @t554 () (and @t33 @t85 @t157)) % 1.53/1.79 (define @t555 () (and @t257 @t245 @t101)) % 1.53/1.79 (define @t556 () (tptp.upper_bounded_relstr @t317)) % 1.53/1.79 (define @t557 () (tptp.v2_membered @t159)) % 1.53/1.79 (define @t558 () (tptp.v3_membered @t160)) % 1.53/1.80 (define @t559 () (tptp.v3_membered @t159)) % 1.53/1.80 (define @t560 () (tptp.v4_membered @t160)) % 1.53/1.80 (define @t561 () (tptp.v4_membered @t159)) % 1.53/1.80 (define @t562 () (tptp.v1_membered @t362)) % 1.53/1.80 (define @t563 () (tptp.v2_membered @t362)) % 1.53/1.80 (define @t564 () (tptp.v3_membered @t362)) % 1.53/1.80 (define @t565 () (tptp.transitive @t11)) % 1.53/1.80 (define @t566 () (tptp.antisymmetric @t11)) % 1.53/1.80 (define @t567 () (tptp.open_subset @t297 @t1)) % 1.53/1.80 (define @t568 () (tptp.lower_bounded_relstr @t317)) % 1.53/1.80 (define @t569 () (tptp.v4_membered @t362)) % 1.53/1.80 (define @t570 () (tptp.v1_partfun1 @t7 @t487 @t3)) % 1.53/1.80 (define @t571 () (tptp.relation @t7)) % 1.53/1.80 (define @t572 () (tptp.closed_subset @t297 @t1)) % 1.53/1.80 (define @t573 () (and @t178 @t125)) % 1.53/1.80 (define @t574 () (and @t257 @t245)) % 1.53/1.80 (define @t575 () (tptp.empty @t210)) % 1.53/1.80 (define @t576 () (and @t141 @t93)) % 1.53/1.80 (define @t577 () (tptp.antisymmetric_relstr @t308)) % 1.53/1.80 (define @t578 () (tptp.transitive_relstr @t308)) % 1.53/1.80 (define @t579 () (tptp.reflexive_relstr @t308)) % 1.53/1.80 (define @t580 () (tptp.empty @t364)) % 1.53/1.80 (define @t581 () (tptp.open_subset @t298 @t1)) % 1.53/1.80 (define @t582 () (and @t205 @t426 @t277)) % 1.53/1.80 (define @t583 () (= @t1 @t170)) % 1.53/1.80 (define @t584 () (exists @t185 (and @t203 @t583 (tptp.latt_set_smaller @t11 @t170 @t69)))) % 1.53/1.80 (define @t585 () (= @t1 @t192)) % 1.53/1.80 (define @t586 () (= @t1 @t69)) % 1.53/1.80 (define @t587 () (and @t586 @t319)) % 1.53/1.80 (define @t588 () (@var "H" $$unsorted)) % 1.53/1.80 (define @t589 () (= @t170 @t588)) % 1.53/1.80 (define @t590 () (= @t69 @t222)) % 1.53/1.80 (define @t591 () (@list @t170 @t192 @t222)) % 1.53/1.80 (define @t592 () (tptp.in @t11 @t217)) % 1.53/1.80 (define @t593 () (tptp.disjoint @t283 @t11)) % 1.53/1.80 (define @t594 () (not @t22)) % 1.53/1.80 (define @t595 () (tptp.well_ordering @t11)) % 1.53/1.80 (define @t596 () (tptp.in (tptp.ordered_pair @t69 @t11) @t1)) % 1.53/1.80 (define @t597 () (tptp.singleton @t69)) % 1.53/1.80 (define @t598 () (not @t268)) % 1.53/1.80 (define @t599 () (tptp.singleton @t11)) % 1.53/1.80 (define @t600 () (tptp.union @t11)) % 1.53/1.80 (define @t601 () (tptp.in @t1 @t69)) % 1.53/1.80 (define @t602 () (tptp.element @t1 @t464)) % 1.53/1.80 (define @t603 () (tptp.relation_dom_restriction @t69 @t1)) % 1.53/1.80 (define @t604 () (tptp.in @t11 (tptp.relation_dom @t603))) % 1.53/1.80 (define @t605 () (not @t114)) % 1.53/1.80 (define @t606 () (tptp.proper_element @t11 @t56)) % 1.53/1.80 (define @t607 () (tptp.proper_element @t11 @t100)) % 1.53/1.80 (define @t608 () (tptp.strict_net_str @t69 @t1)) % 1.53/1.80 (define @t609 () (tptp.relation_dom_restriction @t69 @t170)) % 1.53/1.80 (define @t610 () (tptp.unordered_pair @t11 @t69)) % 1.53/1.80 (define @t611 () (tptp.set_union2 @t11 @t69)) % 1.53/1.80 (define @t612 () (tptp.set_intersection2 @t11 @t69)) % 1.53/1.80 (define @t613 () (tptp.set_difference @t11 @t69)) % 1.53/1.80 (define @t614 () (tptp.relation_composition @t170 @t192)) % 1.53/1.80 (define @t615 () (tptp.below_refl @t1 @t11 @t69)) % 1.53/1.80 (define @t616 () (and @t33 @t83 @t81 @t80 @t10 @t151 @t150)) % 1.53/1.80 (define @t617 () (and @t33 @t31 @t5 @t151 @t150)) % 1.53/1.80 (define @t618 () (@var "K" $$unsorted)) % 1.53/1.80 (define @t619 () (@var "J" $$unsorted)) % 1.53/1.80 (define @t620 () (tptp.in @t618 @t619)) % 1.53/1.80 (define @t621 () (@list @t618)) % 1.53/1.80 (define @t622 () (@list @t619)) % 1.53/1.80 (define @t623 () (= @t170 @t192)) % 1.53/1.80 (define @t624 () (@var "I" $$unsorted)) % 1.53/1.80 (define @t625 () (tptp.in @t624 @t588)) % 1.53/1.80 (define @t626 () (@list @t624)) % 1.53/1.80 (define @t627 () (@list @t588)) % 1.53/1.80 (define @t628 () (exists @t627 (and (= @t69 @t588) (tptp.in @t192 @t588) (forall @t626 (=> @t625 (tptp.in (tptp.ordered_pair @t192 @t624) @t11)))))) % 1.53/1.80 (define @t629 () (tptp.in @t220 @t222)) % 1.53/1.80 (define @t630 () (exists @t227 (and @t590 (tptp.in @t170 @t222) (forall @t225 (=> @t629 (tptp.in (tptp.ordered_pair @t170 @t220) @t11)))))) % 1.53/1.80 (define @t631 () (forall @t394 (=> (and @t172 @t630 @t172 @t628) @t623))) % 1.53/1.80 (define @t632 () (and @t141 @t178)) % 1.53/1.80 (define @t633 () (= @t170 @t599)) % 1.53/1.80 (define @t634 () (= @t69 @t599)) % 1.53/1.80 (define @t635 () (forall @t269 (=> (and @t20 @t634 @t20 @t633) @t171))) % 1.53/1.80 (define @t636 () (tptp.subset_complement @t3 @t588)) % 1.53/1.80 (define @t637 () (= @t588 @t170)) % 1.53/1.80 (define @t638 () (tptp.element @t588 @t100)) % 1.53/1.80 (define @t639 () (forall @t627 (=> @t638 (=> @t637 (= @t192 @t636))))) % 1.53/1.80 (define @t640 () (tptp.complements_of_subsets @t3 @t11)) % 1.53/1.80 (define @t641 () (tptp.in @t170 @t640)) % 1.53/1.80 (define @t642 () (tptp.element @t220 @t100)) % 1.53/1.80 (define @t643 () (forall @t225 (=> @t642 (=> (= @t220 @t69) (= @t192 (tptp.subset_complement @t3 @t220)))))) % 1.53/1.80 (define @t644 () (tptp.in @t69 @t640)) % 1.53/1.80 (define @t645 () (tptp.element @t222 @t100)) % 1.53/1.80 (define @t646 () (forall @t227 (=> @t645 (=> (= @t222 @t69) (= @t170 (tptp.subset_complement @t3 @t222)))))) % 1.53/1.80 (define @t647 () (forall @t394 (=> (and @t644 @t646 @t644 @t643) @t623))) % 1.53/1.80 (define @t648 () (and @t17 @t289)) % 1.53/1.80 (define @t649 () (forall @t394 (=> (and @t290 @t646 @t290 @t643) @t623))) % 1.53/1.80 (define @t650 () (tptp.ordinal @t69)) % 1.53/1.80 (define @t651 () (@var "S" $$unsorted)) % 1.53/1.80 (define @t652 () (@var "T" $$unsorted)) % 1.53/1.80 (define @t653 () (@var "R" $$unsorted)) % 1.53/1.80 (define @t654 () (tptp.powerset (tptp.powerset @t170))) % 1.53/1.80 (define @t655 () (@list @t653)) % 1.53/1.80 (define @t656 () (tptp.in @t170 tptp.omega)) % 1.53/1.80 (define @t657 () (tptp.ordinal @t170)) % 1.53/1.80 (define @t658 () (@var "P" $$unsorted)) % 1.53/1.80 (define @t659 () (@var "Q" $$unsorted)) % 1.53/1.80 (define @t660 () (@var "O" $$unsorted)) % 1.53/1.80 (define @t661 () (@list @t659)) % 1.53/1.80 (define @t662 () (@list @t658)) % 1.53/1.80 (define @t663 () (@list @t660)) % 1.53/1.80 (define @t664 () (@var "M" $$unsorted)) % 1.53/1.80 (define @t665 () (@var "N" $$unsorted)) % 1.53/1.80 (define @t666 () (@var "L" $$unsorted)) % 1.53/1.80 (define @t667 () (@list @t665)) % 1.53/1.80 (define @t668 () (tptp.in @t664 @t666)) % 1.53/1.80 (define @t669 () (@list @t664)) % 1.53/1.80 (define @t670 () (@list @t666)) % 1.53/1.80 (define @t671 () (tptp.succ @t170)) % 1.53/1.80 (define @t672 () (=> @t656 (forall @t202 (=> (tptp.element @t192 @t654) (not (and (not (= @t192 tptp.empty_set)) (forall @t227 (not (and (tptp.in @t222 @t192) (forall @t225 (=> (and (tptp.in @t220 @t192) (tptp.subset @t222 @t220)) (= @t220 @t222)))))))))))) % 1.53/1.80 (define @t673 () (tptp.subset @t11 @t69)) % 1.53/1.80 (define @t674 () (tptp.powerset tptp.empty_set)) % 1.53/1.80 (define @t675 () (tptp.apply @t69 @t222)) % 1.53/1.80 (define @t676 () (tptp.in @t222 @t1)) % 1.53/1.80 (define @t677 () (tptp.relation @t170)) % 1.53/1.80 (define @t678 () (and @t178 @t95 @t71)) % 1.53/1.80 (define @t679 () (forall @t621 (=> @t620 (tptp.in (tptp.ordered_pair @t170 @t618) @t11)))) % 1.53/1.80 (define @t680 () (tptp.in @t170 @t619)) % 1.53/1.80 (define @t681 () (tptp.cartesian_product2 @t1 @t69)) % 1.53/1.80 (define @t682 () (= @t192 @t222)) % 1.53/1.80 (define @t683 () (tptp.ordered_pair @t618 @t666)) % 1.53/1.80 (define @t684 () (@list @t618 @t666)) % 1.53/1.80 (define @t685 () (= @t170 @t222)) % 1.53/1.80 (define @t686 () (tptp.in @t619 @t624)) % 1.53/1.80 (define @t687 () (tptp.in @t220 @t1)) % 1.53/1.80 (define @t688 () (tptp.ordered_pair @t220 @t588)) % 1.53/1.80 (define @t689 () (= @t688 @t192)) % 1.53/1.80 (define @t690 () (@list @t220 @t588)) % 1.53/1.80 (define @t691 () (tptp.powerset @t69)) % 1.53/1.80 (define @t692 () (tptp.in @t619 @t11)) % 1.53/1.80 (define @t693 () (tptp.in @t588 @t11)) % 1.53/1.80 (define @t694 () (tptp.element @t588 @t3)) % 1.53/1.80 (define @t695 () (= @t220 @t192)) % 1.53/1.80 (define @t696 () (tptp.element @t69 @t464)) % 1.53/1.80 (define @t697 () (and @t33 @t41 @t5 @t101 @t334 @t696)) % 1.53/1.80 (define @t698 () (tptp.ordered_pair @t619 @t618)) % 1.53/1.80 (define @t699 () (@list @t619 @t618)) % 1.53/1.80 (define @t700 () (= @t192 @t170)) % 1.53/1.80 (define @t701 () (tptp.in @t588 @t1)) % 1.53/1.80 (define @t702 () (= @t69 @t192)) % 1.53/1.80 (define @t703 () (tptp.ordered_pair @t222 @t220)) % 1.53/1.80 (define @t704 () (@list @t222 @t220)) % 1.53/1.80 (define @t705 () (not (and (not (= @t222 tptp.empty_set)) (forall @t225 (not (and @t629 (forall @t627 (=> (and (tptp.in @t588 @t222) (tptp.subset @t220 @t588)) (= @t588 @t220))))))))) % 1.53/1.80 (define @t706 () (tptp.ordinal @t192)) % 1.53/1.80 (define @t707 () (tptp.subset @t11 @t170)) % 1.53/1.80 (define @t708 () (tptp.in @t192 @t100)) % 1.53/1.80 (define @t709 () (= @t222 @t170)) % 1.53/1.80 (define @t710 () (tptp.in (tptp.set_difference @t344 @t170) @t11)) % 1.53/1.80 (define @t711 () (and @t257 @t245 @t289)) % 1.53/1.80 (define @t712 () (tptp.in @t220 @t11)) % 1.53/1.80 (define @t713 () (and @t64 (tptp.element @t11 (tptp.powerset (tptp.powerset @t284))))) % 1.53/1.80 (define @t714 () (= @t170 @t636)) % 1.53/1.80 (define @t715 () (forall @t627 (=> @t638 (=> (= @t588 @t192) @t714)))) % 1.53/1.80 (define @t716 () (tptp.in @t192 @t640)) % 1.53/1.80 (define @t717 () (forall @t663 (=> (tptp.element @t660 @t100) (=> (= @t660 @t664) (= @t665 (tptp.subset_complement @t3 @t660)))))) % 1.53/1.80 (define @t718 () (= (tptp.ordered_pair @t664 @t665) @t192)) % 1.53/1.80 (define @t719 () (@list @t664 @t665)) % 1.53/1.80 (define @t720 () (tptp.cartesian_product2 @t640 @t69)) % 1.53/1.80 (define @t721 () (forall @t670 (=> (tptp.element @t666 @t100) (=> (= @t666 @t619) (= @t618 (tptp.subset_complement @t3 @t666)))))) % 1.53/1.80 (define @t722 () (= @t698 @t222)) % 1.53/1.80 (define @t723 () (tptp.subset_complement @t3 @t624)) % 1.53/1.80 (define @t724 () (tptp.element @t624 @t100)) % 1.53/1.80 (define @t725 () (forall @t626 (=> @t724 (=> (= @t624 @t220) (= @t588 @t723))))) % 1.53/1.80 (define @t726 () (tptp.cartesian_product2 @t11 @t69)) % 1.53/1.80 (define @t727 () (tptp.apply @t69 @t220)) % 1.53/1.80 (define @t728 () (tptp.in (tptp.relation_image @t69 @t192) @t11)) % 1.53/1.80 (define @t729 () (tptp.powerset @t359)) % 1.53/1.80 (define @t730 () (and @t397 @t95 @t71)) % 1.53/1.80 (define @t731 () (tptp.succ @t11)) % 1.53/1.80 (define @t732 () (= @t192 @t220)) % 1.53/1.80 (define @t733 () (= @t703 @t192)) % 1.53/1.80 (define @t734 () (exists @t225 (and (tptp.element @t220 @t3) @t712 (tptp.relstr_set_smaller @t1 @t222 @t220)))) % 1.53/1.80 (define @t735 () (tptp.singleton @t192)) % 1.53/1.80 (define @t736 () (exists @t202 (and @t242 @t700 (tptp.closed_subset @t192 @t1) @t707))) % 1.53/1.80 (define @t737 () (tptp.in @t170 @t100)) % 1.53/1.80 (define @t738 () (forall @t627 (=> @t638 (=> (= @t588 @t222) (= @t220 @t636))))) % 1.53/1.80 (define @t739 () (tptp.in @t192 @t69)) % 1.53/1.80 (define @t740 () (tptp.apply @t11 @t69)) % 1.53/1.80 (define @t741 () (= @t265 @t1)) % 1.53/1.80 (define @t742 () (exists @t27 (and @t178 @t125 @t741 (forall @t131 (=> @t172 (= @t740 @t597)))))) % 1.53/1.80 (define @t743 () (forall @t626 (=> @t724 (=> (= @t624 @t170) (= @t383 @t723))))) % 1.53/1.80 (define @t744 () (forall @t185 (not (forall @t627 (=> @t638 (=> (= @t588 @t69) @t714)))))) % 1.53/1.80 (define @t745 () (tptp.in @t1 tptp.omega)) % 1.53/1.80 (define @t746 () (tptp.element @t170 @t100)) % 1.53/1.80 (define @t747 () (= @t395 tptp.empty_set)) % 1.53/1.80 (define @t748 () (not (and @t315 @t747))) % 1.53/1.80 (define @t749 () (tptp.relation_rng @t216)) % 1.53/1.80 (define @t750 () (tptp.meet_of_subsets @t1 @t395)) % 1.53/1.80 (define @t751 () (tptp.upper_relstr_subset @t11 @t330)) % 1.53/1.80 (define @t752 () (tptp.the_carrier @t330)) % 1.53/1.80 (define @t753 () (tptp.powerset @t752)) % 1.53/1.80 (define @t754 () (tptp.element @t11 @t753)) % 1.53/1.80 (define @t755 () (tptp.union_of_subsets @t1 @t395)) % 1.53/1.80 (define @t756 () (tptp.the_carrier @t380)) % 1.53/1.80 (define @t757 () (forall @t131 (not (and @t335 (not (tptp.are_equipotent @t69 @t11)) @t341)))) % 1.53/1.80 (define @t758 () (forall @t175 (=> (and @t290 (tptp.subset @t170 @t69)) @t195))) % 1.53/1.80 (define @t759 () (tptp.meet_of_subsets @t3 @t11)) % 1.53/1.80 (define @t760 () (tptp.relation_dom_restriction @t69 @t11)) % 1.53/1.80 (define @t761 () (tptp.relation_image @t11 @t1)) % 1.53/1.80 (define @t762 () (tptp.relation_inverse_image @t11 @t1)) % 1.53/1.80 (define @t763 () (tptp.relation_image @t11 @t762)) % 1.53/1.80 (define @t764 () (tptp.set_intersection2 @t265 @t1)) % 1.53/1.80 (define @t765 () (tptp.subset @t1 @t266)) % 1.53/1.80 (define @t766 () (tptp.relation_of2_as_subset @t170 @t69 @t11)) % 1.53/1.80 (define @t767 () (tptp.relation_rng @t170)) % 1.53/1.80 (define @t768 () (tptp.relation_of2_as_subset @t170 @t69 @t1)) % 1.53/1.80 (define @t769 () (and @t40 @t5)) % 1.53/1.80 (define @t770 () (tptp.relation_rng @t393)) % 1.53/1.80 (define @t771 () (tptp.relation_inverse_image @t69 @t11)) % 1.53/1.80 (define @t772 () (tptp.relation_restriction @t69 @t11)) % 1.53/1.80 (define @t773 () (tptp.relation_restriction @t11 @t1)) % 1.53/1.80 (define @t774 () (tptp.relation_dom_restriction @t11 @t1)) % 1.53/1.80 (define @t775 () (tptp.bottom_of_relstr @t330)) % 1.53/1.80 (define @t776 () (forall @t6 (= @t775 tptp.empty_set))) % 1.53/1.80 (define @t777 () (tptp.relation_field @t69)) % 1.53/1.80 (define @t778 () (tptp.in @t1 @t777)) % 1.53/1.80 (define @t779 () (tptp.subset @t1 @t69)) % 1.53/1.80 (define @t780 () (tptp.the_carrier @t276)) % 1.53/1.80 (define @t781 () (tptp.element @t69 @t780)) % 1.53/1.80 (define @t782 () (tptp.element @t11 @t780)) % 1.53/1.80 (define @t783 () (tptp.element @t1 @t11)) % 1.53/1.80 (define @t784 () (tptp.relstr_set_smaller @t1 @t69 @t170)) % 1.53/1.80 (define @t785 () (tptp.in @t1 @t359)) % 1.53/1.80 (define @t786 () (tptp.in @t369 @t69)) % 1.53/1.80 (define @t787 () (tptp.relation_field @t773)) % 1.53/1.80 (define @t788 () (tptp.apply @t69 @t1)) % 1.53/1.80 (define @t789 () (tptp.relation_composition @t69 @t11)) % 1.53/1.80 (define @t790 () (tptp.in @t1 (tptp.relation_dom @t789))) % 1.53/1.80 (define @t791 () (tptp.apply @t170 @t69)) % 1.53/1.80 (define @t792 () (and @t229 @t475 (tptp.relation_of2_as_subset @t170 @t1 @t11))) % 1.53/1.80 (define @t793 () (tptp.connected @t11)) % 1.53/1.80 (define @t794 () (tptp.well_ordering @t773)) % 1.53/1.80 (define @t795 () (= @t787 @t1)) % 1.53/1.80 (define @t796 () (tptp.well_orders @t11 @t1)) % 1.53/1.80 (define @t797 () (tptp.cast_to_el_of_LattPOSet @t11 @t69)) % 1.53/1.80 (define @t798 () (tptp.poset_of_lattice @t11)) % 1.53/1.80 (define @t799 () (tptp.cast_to_el_of_lattice @t11 @t69)) % 1.53/1.80 (define @t800 () (tptp.element @t69 (tptp.the_carrier @t798))) % 1.53/1.80 (define @t801 () (forall @t131 (not (and @t290 @t139)))) % 1.53/1.80 (define @t802 () (tptp.proper_element @t11 @t753)) % 1.53/1.80 (define @t803 () (tptp.filtered_subset @t11 @t330)) % 1.53/1.80 (define @t804 () (and @t133 @t803 @t751 @t802 @t754)) % 1.53/1.80 (define @t805 () (=> @t804 @t801)) % 1.53/1.80 (define @t806 () (forall @t27 @t805)) % 1.53/1.80 (define @t807 () (=> @t141 @t806)) % 1.53/1.80 (define @t808 () (forall @t6 @t807)) % 1.53/1.80 (define @t809 () (not @t808)) % 1.53/1.80 (define @t810 () (and (= @t11 (tptp.join_on_relstr @t1 @t69)) (tptp.ex_sup_of_relstr_set @t1 @t69))) % 1.53/1.80 (define @t811 () (and (tptp.relstr_set_smaller @t1 @t69 @t11) (forall @t185 (=> @t184 (=> @t784 @t327))))) % 1.53/1.80 (define @t812 () (tptp.well_founded_relation @t11)) % 1.53/1.80 (define @t813 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 1.53/1.80 (define @t814 () (and @t172 @t290)) % 1.53/1.80 (define @t815 () (not @t386)) % 1.53/1.80 (define @t816 () (= @t1 @t731)) % 1.53/1.80 (define @t817 () (and @t33 @t40 @t46 @t5)) % 1.53/1.80 (define @t818 () (tptp.subset_complement @t1 @t69)) % 1.53/1.80 (define @t819 () (tptp.disjoint @t11 @t69)) % 1.53/1.80 (define @t820 () (tptp.relation_dom @t393)) % 1.53/1.80 (define @t821 () (and (tptp.closed_subset @t170 @t1) @t707)) % 1.53/1.80 (define @t822 () (tptp.in @t69 @t243)) % 1.53/1.80 (define @t823 () (tptp.element @t11 @t691)) % 1.53/1.80 (define @t824 () (tptp.in @t69 @t160)) % 1.53/1.80 (define @t825 () (= @t243 @t11)) % 1.53/1.80 (define @t826 () (and (tptp.in @t69 @t364) (= @t170 @t740))) % 1.53/1.80 (define @t827 () (tptp.function_inverse @t11)) % 1.53/1.80 (define @t828 () (tptp.related @t11 @t192 @t222)) % 1.53/1.80 (define @t829 () (= @t364 tptp.empty_set)) % 1.53/1.80 (define @t830 () (= @t210 tptp.empty_set)) % 1.53/1.80 (define @t831 () (forall @t6 (=> @t54 @t271))) % 1.53/1.80 (define @t832 () (= (tptp.apply @t603 @t11) (tptp.apply @t69 @t11))) % 1.53/1.80 (define @t833 () (= @t607 (not (tptp.in @t208 @t11)))) % 1.53/1.80 (define @t834 () (and @t133 @t98 @t310 @t101)) % 1.53/1.80 (define @t835 () (forall @t27 (=> @t834 @t833))) % 1.53/1.80 (define @t836 () (and @t33 @t31 @t41 @t40 @t46 @t5)) % 1.53/1.80 (define @t837 () (=> @t836 @t835)) % 1.53/1.80 (define @t838 () (forall @t6 @t837)) % 1.53/1.80 (define @t839 () (= @t283 @t610)) % 1.53/1.80 (define @t840 () (@var "BOUND_VARIABLE_25102" $$unsorted)) % 1.53/1.80 (define @t841 () (not (tptp.empty @t840))) % 1.53/1.80 (define @t842 () (@var "BOUND_VARIABLE_25100" $$unsorted)) % 1.53/1.80 (define @t843 () (not (tptp.in @t840 @t842))) % 1.53/1.80 (define @t844 () (not (tptp.element @t842 @t753))) % 1.53/1.80 (define @t845 () (not (tptp.proper_element @t842 @t753))) % 1.53/1.80 (define @t846 () (not (tptp.upper_relstr_subset @t842 @t330))) % 1.53/1.80 (define @t847 () (not (tptp.filtered_subset @t842 @t330))) % 1.53/1.80 (define @t848 () (tptp.empty @t842)) % 1.53/1.80 (define @t849 () (or @t54 @t848 @t847 @t846 @t845 @t844 @t843 @t841)) % 1.53/1.80 (define @t850 () (or @t848 @t847 @t846 @t845 @t844 @t843 @t841)) % 1.53/1.80 (define @t851 () (or @t54 @t850)) % 1.53/1.80 (define @t852 () (@list @t1 @t842 @t840)) % 1.53/1.80 (define @t853 () (forall @t852 @t851)) % 1.53/1.80 (define @t854 () (@list @t842 @t840)) % 1.53/1.80 (define @t855 () (forall @t854 @t851)) % 1.53/1.80 (define @t856 () (forall @t854 @t850)) % 1.53/1.80 (define @t857 () (@var "BOUND_VARIABLE_25084" $$unsorted)) % 1.53/1.80 (define @t858 () (or @t54 @t856)) % 1.53/1.80 (define @t859 () (not (tptp.empty @t857))) % 1.53/1.80 (define @t860 () (not (tptp.in @t857 @t11))) % 1.53/1.80 (define @t861 () (not @t754)) % 1.53/1.80 (define @t862 () (not @t802)) % 1.53/1.80 (define @t863 () (not @t751)) % 1.53/1.80 (define @t864 () (not @t803)) % 1.53/1.80 (define @t865 () (or @t132 @t864 @t863 @t862 @t861 @t860 @t859)) % 1.53/1.80 (define @t866 () (@list @t11 @t857)) % 1.53/1.80 (define @t867 () (forall @t866 @t865)) % 1.53/1.80 (define @t868 () (or @t860 @t859)) % 1.53/1.80 (define @t869 () (or @t132 @t864 @t863 @t862 @t861 @t868)) % 1.53/1.80 (define @t870 () (forall @t866 @t869)) % 1.53/1.80 (define @t871 () (@list @t857)) % 1.53/1.80 (define @t872 () (forall @t871 @t869)) % 1.53/1.80 (define @t873 () (forall @t871 @t868)) % 1.53/1.80 (define @t874 () (or @t132 @t864 @t863 @t862 @t861 @t873)) % 1.53/1.80 (define @t875 () (forall @t131 (or @t341 @t140))) % 1.53/1.80 (define @t876 () (or @t132 @t864 @t863 @t862 @t861 @t875)) % 1.53/1.80 (define @t877 () (not @t133)) % 1.53/1.80 (define @t878 () (or @t877 @t864 @t863 @t862 @t861)) % 1.53/1.80 (define @t879 () (forall @t852 @t849)) % 1.53/1.80 (define @t880 () (@quantifiers_skolemize @t879 1)) % 1.53/1.80 (define @t881 () (@quantifiers_skolemize @t879 2)) % 1.53/1.80 (define @t882 () (tptp.in @t881 @t880)) % 1.53/1.80 (define @t883 () (tptp.empty @t881)) % 1.53/1.80 (define @t884 () (not @t883)) % 1.53/1.80 (define @t885 () (not @t882)) % 1.53/1.80 (define @t886 () (@quantifiers_skolemize @t879 0)) % 1.53/1.80 (define @t887 () (tptp.boole_POSet @t886)) % 1.53/1.80 (define @t888 () (tptp.powerset (tptp.the_carrier @t887))) % 1.53/1.80 (define @t889 () (tptp.element @t880 @t888)) % 1.53/1.80 (define @t890 () (not @t889)) % 1.53/1.80 (define @t891 () (tptp.proper_element @t880 @t888)) % 1.53/1.80 (define @t892 () (not @t891)) % 1.53/1.80 (define @t893 () (tptp.upper_relstr_subset @t880 @t887)) % 1.53/1.80 (define @t894 () (not @t893)) % 1.53/1.80 (define @t895 () (tptp.filtered_subset @t880 @t887)) % 1.53/1.80 (define @t896 () (not @t895)) % 1.53/1.80 (define @t897 () (tptp.empty @t880)) % 1.53/1.80 (define @t898 () (or (tptp.empty @t886) @t897 @t896 @t894 @t892 @t890 @t885 @t884)) % 1.53/1.80 (define @t899 () (@list true)) % 1.53/1.80 (define @t900 () (@list @t898)) % 1.53/1.80 (define @t901 () (@list @t886)) % 1.53/1.80 (define @t902 () (or @t884 (= @t881 tptp.empty_set))) % 1.53/1.80 (define @t903 () (forall @t6 (or @t141 @t271))) % 1.53/1.80 (define @t904 () (= tptp.empty_set @t881)) % 1.53/1.80 (define @t905 () (or @t884 @t904)) % 1.53/1.80 (define @t906 () (@list false false)) % 1.53/1.80 (define @t907 () (@var "BOUND_VARIABLE_27536" $$unsorted)) % 1.53/1.80 (define @t908 () (= (tptp.proper_element @t907 @t100) (not (tptp.in @t208 @t907)))) % 1.53/1.80 (define @t909 () (not (tptp.element @t907 @t100))) % 1.53/1.80 (define @t910 () (not (tptp.upper_relstr_subset @t907 @t1))) % 1.53/1.80 (define @t911 () (not (tptp.filtered_subset @t907 @t1))) % 1.53/1.80 (define @t912 () (tptp.empty @t907)) % 1.53/1.80 (define @t913 () (not @t5)) % 1.53/1.80 (define @t914 () (not @t46)) % 1.53/1.80 (define @t915 () (not @t40)) % 1.53/1.80 (define @t916 () (not @t41)) % 1.53/1.80 (define @t917 () (not @t31)) % 1.53/1.80 (define @t918 () (or @t912 @t911 @t910 @t909 @t908)) % 1.53/1.80 (define @t919 () (or @t32 @t917 @t916 @t915 @t914 @t913 @t918)) % 1.53/1.80 (define @t920 () (forall (@list @t1 @t907) @t919)) % 1.53/1.80 (define @t921 () (@list @t907)) % 1.53/1.80 (define @t922 () (forall @t921 @t919)) % 1.53/1.80 (define @t923 () (forall @t921 @t918)) % 1.53/1.80 (define @t924 () (or @t32 @t917 @t916 @t915 @t914 @t913 @t923)) % 1.53/1.80 (define @t925 () (not @t101)) % 1.53/1.80 (define @t926 () (not @t310)) % 1.53/1.80 (define @t927 () (not @t98)) % 1.53/1.80 (define @t928 () (or @t132 @t927 @t926 @t925 @t833)) % 1.53/1.80 (define @t929 () (forall @t27 @t928)) % 1.53/1.80 (define @t930 () (or @t32 @t917 @t916 @t915 @t914 @t913 @t929)) % 1.53/1.80 (define @t931 () (not @t33)) % 1.53/1.80 (define @t932 () (or @t931 @t917 @t916 @t915 @t914 @t913)) % 1.53/1.80 (define @t933 () (or @t877 @t927 @t926 @t925)) % 1.53/1.80 (define @t934 () (forall @t6 @t522)) % 1.53/1.80 (define @t935 () (@list @t1)) % 1.53/1.80 (define @t936 () (forall @t6 @t523)) % 1.53/1.80 (define @t937 () (forall @t6 @t524)) % 1.53/1.80 (define @t938 () (forall @t6 @t525)) % 1.53/1.80 (define @t939 () (forall @t6 @t526)) % 1.53/1.80 (define @t940 () (forall @t6 @t527)) % 1.53/1.80 (define @t941 () (forall @t6 @t528)) % 1.53/1.80 (define @t942 () (forall @t6 @t529)) % 1.53/1.80 (define @t943 () (forall @t6 @t530)) % 1.53/1.80 (define @t944 () (forall @t6 @t531)) % 1.53/1.80 (define @t945 () (forall @t6 @t532)) % 1.53/1.80 (define @t946 () (forall @t6 @t533)) % 1.53/1.80 (define @t947 () (forall @t6 @t452)) % 1.53/1.80 (define @t948 () (forall @t6 @t534)) % 1.53/1.80 (define @t949 () (and @t948 @t947 @t946 @t945 @t944 @t943 @t942 @t941 @t940 @t939 @t938 @t937 @t936 @t934)) % 1.53/1.80 (define @t950 () (forall @t6 @t451)) % 1.53/1.80 (define @t951 () (and @t947 @t950)) % 1.53/1.80 (define @t952 () (tptp.bottom_of_relstr @t887)) % 1.53/1.80 (define @t953 () (tptp.in @t952 @t880)) % 1.53/1.80 (define @t954 () (not @t953)) % 1.53/1.80 (define @t955 () (= @t891 @t954)) % 1.53/1.80 (define @t956 () (tptp.rel_str @t887)) % 1.53/1.80 (define @t957 () (not @t956)) % 1.53/1.80 (define @t958 () (tptp.lower_bounded_relstr @t887)) % 1.53/1.80 (define @t959 () (not @t958)) % 1.53/1.80 (define @t960 () (tptp.antisymmetric_relstr @t887)) % 1.53/1.80 (define @t961 () (not @t960)) % 1.53/1.80 (define @t962 () (tptp.transitive_relstr @t887)) % 1.53/1.80 (define @t963 () (not @t962)) % 1.53/1.80 (define @t964 () (tptp.reflexive_relstr @t887)) % 1.53/1.80 (define @t965 () (not @t964)) % 1.53/1.80 (define @t966 () (tptp.empty_carrier @t887)) % 1.53/1.80 (define @t967 () (or @t966 @t965 @t963 @t961 @t959 @t957 @t897 @t896 @t894 @t890 @t955)) % 1.53/1.80 (define @t968 () (= tptp.empty_set @t952)) % 1.53/1.80 (define @t969 () (and @t882 @t968 @t904)) % 1.53/1.80 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 1.53/1.80 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 1.53/1.80 (assume @p3 (forall @t19 (=> @t18 (=> @t15 (= @t11 (tptp.net_str_of @t1 @t14 @t13 @t12)))))) % 1.53/1.80 (assume @p4 (forall @t19 (=> @t22 @t21))) % 1.53/1.80 (assume @p5 (forall @t19 (=> @t24 (not @t23)))) % 1.53/1.80 (assume @p6 (forall @t6 (=> @t28 (forall @t27 (=> @t26 @t25))))) % 1.53/1.80 (assume @p7 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t34) (and @t33 @t31 @t30 @t29))))) % 1.53/1.80 (assume @p8 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))))) % 1.53/1.80 (assume @p9 (forall @t6 (=> @t45 (forall @t27 (=> @t26 (and @t25 @t44)))))) % 1.53/1.80 (assume @p10 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t29) (and @t33 @t31 @t46))))) % 1.53/1.80 (assume @p11 (forall @t6 (=> @t48 (forall @t27 (=> @t26 (and @t25 @t44 @t47)))))) % 1.53/1.80 (assume @p12 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t46 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))))) % 1.53/1.80 (assume @p13 (forall @t6 (=> @t51 (forall @t27 (=> @t26 (and @t25 @t44 @t50 @t47)))))) % 1.53/1.80 (assume @p14 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t29) (and @t33 @t31 @t40 @t38))))) % 1.53/1.80 (assume @p15 (forall @t6 (=> @t53 (forall @t27 (=> @t26 (and @t25 @t52 @t44 @t50 @t47)))))) % 1.53/1.80 (assume @p16 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t37 @t29) (and @t33 @t31 @t40 @t39 @t37))))) % 1.53/1.80 (assume @p17 (forall @t6 (=> @t54 (and @t28 @t45 @t48 @t51 @t53)))) % 1.53/1.80 (assume @p18 (forall @t6 (=> @t28 (forall @t27 (=> @t57 @t55))))) % 1.53/1.80 (assume @p19 (forall @t6 (=> @t45 (forall @t27 (=> @t57 (and @t55 @t58)))))) % 1.53/1.80 (assume @p20 (forall @t6 (=> @t48 (forall @t27 (=> @t57 (and @t55 @t58 @t59)))))) % 1.53/1.80 (assume @p21 (forall @t6 (=> @t51 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60)))))) % 1.53/1.80 (assume @p22 (forall @t6 (=> @t64 (forall @t27 (=> @t26 (and @t63 @t62 @t61)))))) % 1.53/1.80 (assume @p23 (forall @t6 (=> @t54 @t65))) % 1.53/1.80 (assume @p24 (forall @t6 (=> @t67 @t66))) % 1.53/1.80 (assume @p25 (forall @t6 (=> @t54 @t68))) % 1.53/1.80 (assume @p26 (forall @t75 (=> @t74 (=> (and @t71 @t73) @t72)))) % 1.53/1.80 (assume @p27 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t86) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))))) % 1.53/1.80 (assume @p28 (forall @t6 (=> @t5 (=> @t39 @t33)))) % 1.53/1.80 (assume @p29 (forall @t6 (=> @t10 (=> @t88 @t87)))) % 1.53/1.80 (assume @p30 (forall @t6 (=> @t53 @t51))) % 1.53/1.80 (assume @p31 (forall @t6 (=> @t64 @t91))) % 1.53/1.80 (assume @p32 (forall @t6 (=> (and @t93 (tptp.symmetric @t1) @t94) (and @t93 @t92)))) % 1.53/1.80 (assume @p33 (forall @t6 (=> @t54 @t93))) % 1.53/1.80 (assume @p34 (forall @t75 (=> @t97 @t95))) % 1.53/1.80 (assume @p35 (forall @t6 (=> (and @t33 @t102 @t5) (forall @t27 (=> @t101 (and @t99 @t98)))))) % 1.53/1.80 (assume @p36 (forall @t6 (=> @t5 (=> @t103 (and @t33 @t39 @t38))))) % 1.53/1.80 (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))))) % 1.53/1.80 (assume @p38 (forall @t6 (=> @t5 (=> @t32 @t104)))) % 1.53/1.80 (assume @p39 (forall @t6 (=> @t53 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60 (tptp.v5_membered @t11))))))) % 1.53/1.80 (assume @p40 (forall @t6 (=> (and @t54 @t64) @t106))) % 1.53/1.80 (assume @p41 (forall @t6 (=> @t65 (forall @t27 (=> @t57 @t107))))) % 1.53/1.80 (assume @p42 (forall @t6 (=> @t66 @t67))) % 1.53/1.80 (assume @p43 (forall @t6 (=> @t110 @t109))) % 1.53/1.80 (assume @p44 (forall @t75 (=> @t74 (=> @t113 @t112)))) % 1.53/1.80 (assume @p45 (forall @t6 (=> @t5 (=> @t38 @t33)))) % 1.53/1.80 (assume @p46 (forall @t6 (=> @t10 (=> @t87 @t88)))) % 1.53/1.80 (assume @p47 (forall @t6 (=> @t51 @t48))) % 1.53/1.80 (assume @p48 (forall @t6 (=> @t91 @t64))) % 1.53/1.80 (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))))) % 1.53/1.80 (assume @p50 (forall @t6 (=> @t5 (=> @t115 (and @t33 @t31 @t41 @t40 @t34))))) % 1.53/1.80 (assume @p51 (forall @t6 (=> @t5 (=> @t116 @t33)))) % 1.53/1.80 (assume @p52 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t106))) % 1.53/1.80 (assume @p53 (forall @t75 (=> @t74 (=> @t112 @t113)))) % 1.53/1.80 (assume @p54 (forall @t6 (=> @t10 (=> @t118 @t117)))) % 1.53/1.80 (assume @p55 (forall @t6 (=> @t48 @t45))) % 1.53/1.80 (assume @p56 (forall @t6 (=> @t54 @t119))) % 1.53/1.80 (assume @p57 (forall @t6 (=> @t5 (=> (and @t33 @t114 @t31) (and @t33 @t31 @t120))))) % 1.53/1.80 (assume @p58 (forall @t6 (=> @t5 (=> @t103 (and @t33 @t49))))) % 1.53/1.80 (assume @p59 (forall @t6 (=> @t5 (=> (and @t33 @t31) (and @t33 @t116))))) % 1.53/1.80 (assume @p60 (forall @t19 (=> @t128 (=> (and @t125 @t127 @t126 @t123) (and @t125 @t124 @t123 @t122 @t121))))) % 1.53/1.80 (assume @p61 (forall @t6 (=> @t10 (=> @t117 @t118)))) % 1.53/1.80 (assume @p62 (forall @t6 (=> @t45 @t28))) % 1.53/1.80 (assume @p63 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t129) (and @t33 @t31 @t30 @t120))))) % 1.53/1.80 (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))))) % 1.53/1.80 (assume @p65 (forall @t6 (=> @t5 (=> @t49 @t130)))) % 1.53/1.80 (assume @p66 (forall @t19 (=> @t133 (forall @t131 (=> @t74 (=> @t72 (and @t71 @t73 @t70))))))) % 1.53/1.80 (assume @p67 (forall @t6 (=> @t10 (=> @t137 (and @t33 @t135 @t78 @t77 @t76 @t134))))) % 1.53/1.80 (assume @p68 (forall @t6 (=> @t5 (=> @t115 (and @t33 @t31 @t102))))) % 1.53/1.80 (assume @p69 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t31 @t41 @t40 @t39 @t38))))) % 1.53/1.80 (assume @p70 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t39 @t46 @t30 @t120) (and @t33 @t31 @t41 @t40 @t39 @t46 @t129))))) % 1.53/1.80 (assume @p71 (forall @t6 (=> @t5 (=> @t130 @t49)))) % 1.53/1.80 (assume @p72 (forall @t19 (=> @t142 (forall @t131 (=> @t74 (=> @t72 (and @t71 @t140 @t73 @t70))))))) % 1.53/1.80 (assume @p73 (forall @t6 (=> @t10 (=> (and @t33 @t135 @t76 @t134) @t137)))) % 1.53/1.80 (assume @p74 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t36))))) % 1.53/1.80 (assume @p75 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t34 @t102) (and @t33 @t31 @t41 @t40 @t102 @t120))))) % 1.53/1.80 (assume @p76 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t135) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t143))))) % 1.53/1.80 (assume @p77 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t37))))) % 1.53/1.80 (assume @p78 (forall @t6 (=> @t147 (forall @t27 (=> @t146 (=> @t144 (and @t145 @t144))))))) % 1.53/1.80 (assume @p79 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t148))))) % 1.53/1.80 (assume @p80 (forall @t6 (=> @t5 (=> (and @t31 @t39 @t30) (and @t33 @t31 @t39 @t37))))) % 1.53/1.80 (assume @p81 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t38 @t49 @t36 @t148) (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t148 @t42))))) % 1.53/1.80 (assume @p82 (forall @t75 (=> @t152 (= @t149 (tptp.unordered_pair_as_carrier_subset @t1 @t69 @t11))))) % 1.53/1.80 (assume @p83 (forall @t19 (= @t153 (tptp.unordered_pair @t11 @t1)))) % 1.53/1.80 (assume @p84 (forall @t19 (= @t155 @t154))) % 1.53/1.80 (assume @p85 (forall @t75 (=> @t158 (= @t156 (tptp.join_commut @t1 @t69 @t11))))) % 1.53/1.80 (assume @p86 (forall @t19 (= @t160 @t159))) % 1.53/1.80 (assume @p87 (forall @t75 (=> @t163 (= @t161 (tptp.meet_commut @t1 @t69 @t11))))) % 1.53/1.80 (assume @p88 (forall @t75 (=> @t166 (= @t164 (tptp.subset_union2 @t1 @t69 @t11))))) % 1.53/1.80 (assume @p89 (forall @t75 (=> @t166 (= @t167 (tptp.subset_intersection2 @t1 @t69 @t11))))) % 1.53/1.80 (assume @p90 (forall @t19 (=> @t169 (or @t168 (tptp.ordinal_subset @t11 @t1))))) % 1.53/1.80 (assume @p91 (forall @t19 (=> @t178 (= @t177 (forall @t175 (= @t174 (and @t172 @t171))))))) % 1.53/1.80 (assume @p92 (forall @t19 (= @t181 (and @t180 @t179)))) % 1.53/1.80 (assume @p93 (forall @t6 (=> @t5 (forall @t190 (=> @t150 (=> @t189 (= (= @t69 @t188) (and @t187 @t186)))))))) % 1.53/1.80 (assume @p94 (forall @t6 (=> @t17 (= @t191 (tptp.identity_as_relation_of @t3))))) % 1.53/1.80 (assume @p95 (forall @t6 (=> @t93 (forall @t190 (=> @t95 (= (= @t69 @t198) (forall @t197 (= @t196 (and @t195 @t194))))))))) % 1.53/1.80 (assume @p96 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (= @t204 (exists @t185 (and @t203 (forall @t202 (=> @t201 (=> @t200 @t199)))))))))))) % 1.53/1.80 (assume @p97 (forall @t6 (=> @t5 (= @t208 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 1.53/1.80 (assume @p98 (forall @t6 (=> @t214 (forall @t190 (= @t213 (forall @t185 (= @t211 (exists @t202 (and (tptp.in @t192 @t210) @t209 (= @t170 (tptp.apply @t1 @t192))))))))))) % 1.53/1.80 (assume @p99 (forall @t19 (=> @t178 (forall @t131 (=> @t95 (= (= @t69 @t216) (forall @t197 (= @t196 (and @t215 (tptp.in @t193 @t11)))))))))) % 1.53/1.80 (assume @p100 (forall @t6 (=> @t93 (= @t218 (tptp.is_antisymmetric_in @t1 @t217))))) % 1.53/1.80 (assume @p101 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (= @t219 (forall @t185 (=> @t203 (exists @t202 (and @t201 @t200 @t199))))))))))) % 1.53/1.80 (assume @p102 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t233 (= @t230 (exists @t185 (and @t229 (tptp.quasi_total @t170 @t221 @t14) (tptp.relation_of2_as_subset @t170 @t221 @t14) (= @t228 (tptp.function_of_composition @t221 @t14 @t3 @t170 @t12)) (forall @t202 (=> @t201 (exists @t227 (and @t226 (forall @t225 (=> @t224 (=> @t223 (tptp.related @t11 @t192 (tptp.apply_on_set_and_struct @t221 @t11 @t170 @t220))))))))))))))))))) % 1.53/1.80 (assume @p103 (forall @t6 (=> @t214 (forall @t190 (= @t238 (forall @t185 (= @t211 (and @t237 (tptp.in @t236 @t11))))))))) % 1.53/1.80 (assume @p104 (forall @t6 (=> @t241 (= @t78 (exists @t27 (and @t151 @t240)))))) % 1.53/1.80 (assume @p105 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (forall @t131 (=> @t244 (= (= @t69 @t243) (forall @t185 (=> (tptp.in @t170 @t3) (= @t211 (forall @t202 (=> @t242 (not (and (tptp.open_subset @t192 @t1) (tptp.in @t170 @t192) (tptp.disjoint @t11 @t192)))))))))))))))) % 1.53/1.80 (assume @p106 (forall @t6 (=> @t93 (forall @t190 (= @t213 (forall @t185 (= @t211 (exists @t202 (and (tptp.in @t246 @t1) @t209))))))))) % 1.53/1.80 (assume @p107 (forall @t6 (=> @t5 (forall @t27 (=> @t247 (= @t146 (and (tptp.subset @t14 @t3) (tptp.subset @t13 @t2)))))))) % 1.53/1.80 (assume @p108 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t175 (=> (and @t251 (tptp.subnetstr @t170 @t1 @t11)) (= @t250 (and (tptp.full_subrelstr @t170 @t11) (tptp.subrelstr @t170 @t11) (= @t248 (tptp.function_invverse_img_as_carrier_subset @t11 @t1 @t12 @t69))))))))))) % 1.53/1.80 (assume @p109 (forall @t6 (=> @t93 (forall @t190 (= @t238 (forall @t185 (= @t211 (exists @t202 (and @t194 @t209))))))))) % 1.53/1.80 (assume @p110 (forall @t6 (=> @t93 (= @t252 (tptp.is_connected_in @t1 @t217))))) % 1.53/1.80 (assume @p111 (forall @t6 (=> @t5 (forall @t27 (=> @t146 (= @t144 (= @t13 (tptp.relation_restriction_as_relation_of @t2 @t14)))))))) % 1.53/1.80 (assume @p112 (forall @t6 (=> @t254 (forall @t27 (=> @t151 (forall @t131 (= @t253 (forall @t185 (=> @t184 (=> @t211 (tptp.below @t1 @t11 @t170))))))))))) % 1.53/1.80 (assume @p113 (forall @t6 (=> @t241 (=> @t78 (forall @t27 (=> @t151 (= (= @t11 @t255) @t240))))))) % 1.53/1.80 (assume @p114 (forall @t6 (=> @t93 (= @t94 (tptp.is_transitive_in @t1 @t217))))) % 1.53/1.80 (assume @p115 (forall @t6 (=> @t254 (forall @t27 (=> @t151 (forall @t131 (= (tptp.latt_element_smaller @t1 @t11 @t69) (forall @t185 (=> @t184 (=> @t211 (tptp.below @t1 @t170 @t11))))))))))) % 1.53/1.80 (assume @p116 (forall @t6 (=> @t258 (forall @t27 (=> @t235 (forall @t131 (=> @t244 (= (= @t69 @t256) (forall @t185 (=> @t184 (= @t211 (forall @t202 (=> (tptp.point_neighbourhood @t192 @t1 @t170) (tptp.is_eventually_in @t1 @t11 @t192)))))))))))))) % 1.53/1.80 (assume @p117 (forall @t6 (=> @t214 (forall @t190 (= (tptp.apply_binary @t1 @t11 @t69) (tptp.apply @t1 @t259)))))) % 1.53/1.80 (assume @p118 (forall @t6 (=> @t258 (forall @t27 (=> @t151 (forall @t131 (=> @t244 (= @t261 (tptp.in @t11 @t260))))))))) % 1.53/1.80 (assume @p119 (forall @t264 (= (= @t170 (tptp.unordered_triple @t1 @t11 @t69)) (forall @t202 (= @t263 (not (and (not (= @t192 @t1)) (not (= @t192 @t11)) (not @t262)))))))) % 1.53/1.80 (assume @p120 (forall @t6 (= @t65 (exists @t27 (and @t178 @t125 (= @t266 @t1) (tptp.in @t265 tptp.omega)))))) % 1.53/1.80 (assume @p121 (forall @t6 (= @t68 (forall @t269 (=> (and @t268 @t267) @t171))))) % 1.53/1.80 (assume @p122 (forall @t75 (=> @t274 (and (=> (=> @t272 @t271) (= @t70 (= @t1 @t273))) (=> @t272 (or @t271 (= @t70 @t270))))))) % 1.53/1.80 (assume @p123 (forall @t19 (=> (and (tptp.strict_latt_str @t11) @t277) (= (= @t11 @t276) (and (= @t14 @t56) (forall @t131 (=> @t165 (forall @t185 (=> @t275 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t69 @t170) (tptp.subset_union2 @t1 @t69 @t170)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t69 @t170) (tptp.subset_intersection2 @t1 @t69 @t170)))))))))))) % 1.53/1.80 (assume @p124 (forall @t6 (=> @t279 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= @t278 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t69))))))))) % 1.53/1.80 (assume @p125 (forall @t6 (=> @t282 (forall @t27 (= (= @t11 (tptp.pair_first @t1)) (forall @t175 (=> @t281 @t280))))))) % 1.53/1.80 (assume @p126 (forall @t6 (= @t284 (tptp.set_union2 @t1 @t283)))) % 1.53/1.80 (assume @p127 (forall @t6 (=> @t245 (= @t257 (and (tptp.in @t3 @t285) (forall @t27 (=> @t289 (=> (tptp.subset @t11 @t285) (tptp.in @t287 @t285)))) (forall @t27 (=> @t101 (forall @t131 (=> @t244 (=> (and @t286 (tptp.in @t69 @t285)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t69) @t285))))))))))) % 1.53/1.80 (assume @p128 (forall @t6 (= @t93 (forall @t27 (not (and @t20 (forall @t175 (not (= @t11 @t173))))))))) % 1.53/1.80 (assume @p129 (forall @t6 (=> @t93 (forall @t27 (= @t291 (forall @t131 (=> @t290 (tptp.in (tptp.ordered_pair @t69 @t69) @t1)))))))) % 1.53/1.80 (assume @p130 (forall @t75 (= @t74 (tptp.subset @t69 @t96)))) % 1.53/1.80 (assume @p131 (forall @t19 (and (=> @t295 (= @t292 (forall @t131 (= @t290 (forall @t185 (=> @t294 @t293)))))) (=> @t271 (= @t292 @t272))))) % 1.53/1.80 (assume @p132 (forall @t6 (=> @t17 (= @t32 @t296)))) % 1.53/1.80 (assume @p133 (forall @t19 (= (= @t11 @t283) (forall @t131 (= @t290 (= @t69 @t1)))))) % 1.53/1.80 (assume @p134 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t298 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t297)))))))) % 1.53/1.80 (assume @p135 (forall @t6 (=> @t245 (forall @t27 (=> @t289 (= @t300 (forall @t131 (=> @t244 (=> @t290 @t299))))))))) % 1.53/1.80 (assume @p136 (forall @t6 (=> @t5 (forall @t27 (=> @t101 (= @t99 (forall @t131 (=> @t150 (forall @t185 (=> @t184 (not (and @t290 @t195 (forall @t202 (=> @t302 (not (and @t209 (tptp.related @t1 @t69 @t192) @t301)))))))))))))))) % 1.53/1.80 (assume @p137 (forall @t6 (=> @t93 (forall @t190 (= (= @t69 (tptp.fiber @t1 @t11)) (forall @t185 (= @t211 (and (not @t303) (tptp.in (tptp.ordered_pair @t170 @t11) @t1))))))))) % 1.53/1.80 (assume @p138 (forall @t19 (=> @t178 (= (= @t11 @t306) (and (= @t305 @t1) (forall @t175 (=> (and @t172 @t294) (= @t174 @t304)))))))) % 1.53/1.80 (assume @p139 (forall @t6 (= @t271 (forall @t27 @t21)))) % 1.53/1.80 (assume @p140 (forall @t6 (= @t308 (tptp.rel_str_of @t1 @t307)))) % 1.53/1.80 (assume @p141 (forall @t19 (= (= @t11 @t56) (forall @t131 (= @t290 (tptp.subset @t69 @t1)))))) % 1.53/1.80 (assume @p142 (forall @t6 (=> @t5 (forall @t27 (=> @t101 (= @t310 (forall @t131 (=> @t150 (forall @t185 (=> @t184 (=> (and @t290 @t309) @t195))))))))))) % 1.53/1.80 (assume @p143 (forall @t6 (=> @t254 (=> @t312 (forall @t190 (=> @t150 (= (= @t69 @t311) (and (tptp.latt_element_smaller @t1 @t69 @t11) (forall @t185 (=> @t184 (=> (tptp.latt_element_smaller @t1 @t170 @t11) (tptp.below @t1 @t69 @t170)))))))))))) % 1.53/1.80 (assume @p144 (forall @t6 (=> @t254 (forall @t27 (= @t313 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 1.53/1.80 (assume @p145 (forall @t6 (= (tptp.centered @t1) (and @t295 (forall @t27 (not (and @t315 @t179 @t107 (= @t314 tptp.empty_set)))))))) % 1.53/1.80 (assume @p146 (forall @t6 (=> @t318 (= @t317 (tptp.rel_str_of @t3 @t316))))) % 1.53/1.80 (assume @p147 (forall @t6 (=> @t241 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= @t239 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t69))))))))) % 1.53/1.80 (assume @p148 (forall @t6 (=> @t282 (forall @t27 (= (= @t11 (tptp.pair_second @t1)) (forall @t175 (=> @t281 @t319))))))) % 1.53/1.80 (assume @p149 (forall @t6 (= @t90 (forall @t27 (=> @t20 @t179))))) % 1.53/1.80 (assume @p150 (forall @t6 (=> @t17 (= @t320 tptp.empty_set)))) % 1.53/1.80 (assume @p151 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (= @t181 (forall @t175 (= @t321 @t174)))))))) % 1.53/1.80 (assume @p152 (forall @t19 (and (=> @t141 (= @t26 @t20)) (=> @t54 (= @t26 @t132))))) % 1.53/1.80 (assume @p153 (forall @t75 (= (= @t69 @t153) (forall @t185 (= @t211 (or (= @t170 @t1) @t303)))))) % 1.53/1.80 (assume @p154 (forall @t19 (=> @t26 (= (tptp.proper_element @t11 @t1) (not @t323))))) % 1.53/1.80 (assume @p155 (forall @t6 (=> @t245 (forall @t27 (=> @t289 (= @t325 @t324)))))) % 1.53/1.80 (assume @p156 (forall @t6 (=> @t93 (= @t326 (forall @t27 (not (and (tptp.subset @t11 @t217) @t315 (forall @t131 (not (and @t290 (tptp.disjoint (tptp.fiber @t1 @t69) @t11))))))))))) % 1.53/1.80 (assume @p157 (forall @t75 (= (= @t69 @t155) (forall @t185 (= @t211 (or @t294 @t195)))))) % 1.53/1.80 (assume @p158 (forall @t6 (=> @t5 (= @t41 @t329)))) % 1.53/1.80 (assume @p159 (forall @t6 (= @t330 (tptp.poset_of_lattice @t276)))) % 1.53/1.80 (assume @p160 (forall @t75 (= (= @t69 @t96) (forall @t185 (= @t211 (exists @t333 (and @t215 @t332 (= @t170 @t331)))))))) % 1.53/1.80 (assume @p161 (forall @t6 (=> @t245 (= @t338 (forall @t27 (=> @t289 (not (and @t337 @t300 (forall @t131 (=> @t336 (not (and @t335 (tptp.is_a_cover_of_carrier @t1 @t69) @t334)))))))))))) % 1.53/1.80 (assume @p162 (forall @t6 (=> @t318 (forall @t27 (=> @t151 (= @t339 @t11)))))) % 1.53/1.80 (assume @p163 (forall @t6 (=> @t279 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= @t340 (= @t278 @t69))))))))) % 1.53/1.80 (assume @p164 (forall @t6 (= @t89 (forall @t190 (not (and @t20 @t172 (not @t343) @t342 @t341)))))) % 1.53/1.80 (assume @p165 (forall @t6 (=> @t17 (= @t344 @t3)))) % 1.53/1.80 (assume @p166 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (= @t180 (forall @t175 (=> @t321 @t174)))))))) % 1.53/1.80 (assume @p167 (forall @t19 (= @t180 @t345))) % 1.53/1.80 (assume @p168 (forall @t6 (=> @t93 (forall @t27 (= @t347 (forall @t131 (not (and @t335 @t346 (forall @t185 (not (and @t211 (tptp.disjoint (tptp.fiber @t1 @t170) @t69)))))))))))) % 1.53/1.80 (assume @p169 (forall @t75 (= (= @t69 @t160) (forall @t185 (= @t211 (and @t294 @t195)))))) % 1.53/1.80 (assume @p170 (forall @t6 (=> @t214 (forall @t190 (and (=> @t350 (= @t349 @t268)) (=> (not @t350) (= @t349 @t270))))))) % 1.53/1.80 (assume @p171 (forall @t6 (=> @t318 (forall @t27 (=> @t353 (= @t351 @t11)))))) % 1.53/1.80 (assume @p172 (forall @t6 (= @t64 @t91))) % 1.53/1.80 (assume @p173 (forall @t6 (=> @t93 (forall @t27 (= (= @t11 @t210) (forall @t131 (= @t290 (exists @t185 @t321)))))))) % 1.53/1.80 (assume @p174 (forall @t6 (=> @t93 (forall @t27 (= @t355 (forall @t175 (=> (and @t290 @t195 @t321 @t354) @t171))))))) % 1.53/1.80 (assume @p175 (forall @t6 (= @t356 @t1))) % 1.53/1.80 (assume @p176 (forall @t19 (= @t323 (forall @t131 (= @t290 (exists @t185 (and @t293 @t294))))))) % 1.53/1.80 (assume @p177 (forall @t6 (=> @t93 (= @t357 (and @t92 @t94 @t218 @t252 @t326))))) % 1.53/1.80 (assume @p178 (forall @t19 (= @t361 (exists @t131 (and @t95 @t71 @t111 @t360 (= @t358 @t11)))))) % 1.53/1.80 (assume @p179 (forall @t75 (= (= @t69 @t362) (forall @t185 (= @t211 (and @t294 (not @t195))))))) % 1.53/1.80 (assume @p180 (forall @t6 (=> @t5 (= @t46 (exists @t27 (and @t151 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 1.53/1.80 (assume @p181 (forall @t6 (=> @t214 (forall @t27 (= @t365 (forall @t131 (= @t290 (exists @t185 @t363)))))))) % 1.53/1.80 (assume @p182 (forall @t6 (=> @t5 (= @t41 (tptp.is_transitive_in @t2 @t3))))) % 1.53/1.80 (assume @p183 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t366 @t64 (forall @t27 (=> @t61 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t180))))))) % 1.53/1.80 (assume @p184 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t367 @t286)))))) % 1.53/1.80 (assume @p185 (forall @t6 (=> @t93 (forall @t27 (= @t365 (forall @t131 (= @t290 (exists @t185 @t354)))))))) % 1.53/1.80 (assume @p186 (forall @t19 (=> @t57 (= @t368 @t362)))) % 1.53/1.80 (assume @p187 (forall @t19 (= @t369 (tptp.unordered_pair @t153 @t283)))) % 1.53/1.80 (assume @p188 (forall @t6 (=> @t93 (forall @t27 (= (tptp.well_orders @t1 @t11) (and @t291 @t371 @t355 @t370 @t347)))))) % 1.53/1.80 (assume @p189 (forall @t6 (=> (and @t33 @t5) (= @t372 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (exists @t185 (and @t184 @t327 @t309)))))))))) % 1.53/1.80 (assume @p190 (forall @t6 (=> @t5 (= @t40 (tptp.is_antisymmetric_in @t2 @t3))))) % 1.53/1.80 (assume @p191 (forall @t6 (= @t366 (= @t1 @t322)))) % 1.53/1.80 (assume @p192 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t374 (tptp.open_subset @t373 @t1))))))) % 1.53/1.80 (assume @p193 (forall @t6 (=> @t93 (= @t217 (tptp.set_union2 @t210 @t364))))) % 1.53/1.80 (assume @p194 (forall @t6 (=> @t93 (forall @t27 (= @t370 (forall @t175 (not (and @t290 @t195 (not @t171) (not @t321) (not @t354))))))))) % 1.53/1.80 (assume @p195 (forall @t6 (=> @t93 (forall @t27 (= @t376 (tptp.set_intersection2 @t1 @t375)))))) % 1.53/1.80 (assume @p196 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (= (= @t11 @t377) (forall @t175 (= @t174 @t354)))))))) % 1.53/1.80 (assume @p197 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (=> @t381 (forall @t185 (=> (and @t251 (tptp.net_str @t170 @t1)) (= (= @t170 @t380) (and (forall @t202 (= (tptp.in @t192 @t248) (exists @t227 (and @t379 @t378 (tptp.related @t11 @t69 @t222))))) (= (tptp.the_InternalRel @t170) (tptp.relation_restriction_as_relation_of @t13 @t248)) (= (tptp.the_mapping @t1 @t170) (tptp.partfun_dom_restriction @t14 @t3 @t12 @t248))))))))))))) % 1.53/1.80 (assume @p198 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (forall @t131 (=> @t385 (= @t384 (and (= @t359 @t217) (= @t358 @t305) @t111 (forall @t197 (= @t194 (and (tptp.in @t170 @t217) (tptp.in @t192 @t217) (tptp.in (tptp.ordered_pair @t383 @t382) @t11))))))))))))) % 1.53/1.80 (assume @p199 (forall @t19 (= @t386 (= @t160 tptp.empty_set)))) % 1.53/1.80 (assume @p200 (forall @t6 (=> @t5 (forall @t27 (= @t391 (exists @t131 (and @t150 @t390 @t389 (forall @t185 (=> @t184 (=> (and @t388 (forall @t202 (=> @t302 (=> (tptp.relstr_set_smaller @t1 @t11 @t192) @t301)))) @t387)))))))))) % 1.53/1.80 (assume @p201 (forall @t6 (=> @t318 (= @t392 (tptp.a_1_0_filter_1 @t1))))) % 1.53/1.80 (assume @p202 (forall @t6 (=> @t214 (= @t108 (forall @t190 (=> (and @t350 (tptp.in @t69 @t210) (= @t348 (tptp.apply @t1 @t69))) @t280)))))) % 1.53/1.80 (assume @p203 (forall @t6 (=> @t5 (forall @t190 (=> @t150 (= @t187 (forall @t185 (=> @t184 (=> @t195 @t309))))))))) % 1.53/1.80 (assume @p204 (forall @t6 (=> @t254 (= @t81 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= (tptp.join @t1 @t239 @t69) @t69))))))))) % 1.53/1.80 (assume @p205 (forall @t6 (=> @t17 (forall @t27 (=> @t289 (= @t337 (= @t344 @t287))))))) % 1.53/1.80 (assume @p206 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (forall @t131 (=> @t95 (= (= @t69 @t393) (forall @t197 (= @t196 (exists @t227 (and (tptp.in (tptp.ordered_pair @t170 @t222) @t1) (tptp.in (tptp.ordered_pair @t222 @t192) @t11))))))))))))) % 1.53/1.80 (assume @p207 (forall @t6 (=> @t93 (forall @t27 (= @t371 (forall @t394 (=> (and @t290 @t195 @t209 @t321 @t194) (tptp.in (tptp.ordered_pair @t69 @t192) @t1)))))))) % 1.53/1.80 (assume @p208 (forall @t19 (=> @t397 (forall @t131 (=> (tptp.element @t69 @t396) (= (= @t69 @t395) (forall @t185 (=> @t275 (= @t211 (tptp.in (tptp.subset_complement @t1 @t170) @t11)))))))))) % 1.53/1.80 (assume @p209 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (=> @t381 (= @t398 (tptp.apply_on_structs @t11 @t1 @t12 @t69))))))))) % 1.53/1.80 (assume @p210 (forall @t19 (= @t24 (and @t180 @t399)))) % 1.53/1.80 (assume @p211 (forall @t6 (=> @t5 (forall @t27 (= @t189 (exists @t131 (and @t150 @t187 @t186 (forall @t185 (=> @t184 (=> (and @t183 (forall @t202 (=> @t302 (=> (tptp.relstr_element_smaller @t1 @t11 @t192) (tptp.related @t1 @t192 @t170))))) @t387)))))))))) % 1.53/1.80 (assume @p212 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t231 (= @t401 (and @t400 (= @t228 (tptp.relation_dom_restr_as_relation_of @t14 @t3 @t12 @t221))))))))))) % 1.53/1.80 (assume @p213 (forall @t6 (=> @t214 (=> @t108 (= @t402 @t377))))) % 1.53/1.80 (assume @p214 (forall @t6 (=> @t5 (forall @t190 (=> @t150 (= @t390 (forall @t185 (=> @t184 (=> @t195 @t182))))))))) % 1.53/1.80 (assume @p215 (forall @t6 (=> @t5 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= @t328 (tptp.in @t259 @t2))))))))) % 1.53/1.80 (assume @p216 (forall @t6 (=> @t93 (= @t92 (tptp.is_reflexive_in @t1 @t217))))) % 1.53/1.80 (assume @p217 (forall @t6 (=> @t258 (forall @t27 (=> @t206 (forall @t131 (=> @t150 (= @t405 (forall @t185 (=> @t404 @t403)))))))))) % 1.53/1.80 (assume @p218 (forall @t6 (=> @t5 (forall @t190 (=> @t150 (=> @t391 (= (= @t69 @t406) (and @t390 @t389)))))))) % 1.53/1.80 (assume @p219 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t401 (= @t407 (and (tptp.full_subrelstr @t69 @t11) @t400))))))))) % 1.53/1.80 (assume @p220 (forall @t19 (=> @t128 (and @t409 (tptp.rel_str @t408))))) % 1.53/1.80 (assume @p221 (forall @t264 (=> @t415 (and @t411 (tptp.net_str @t410 @t1))))) % 1.53/1.80 (assume @p222 (forall @t75 (=> @t423 (and @t417 (tptp.latt_str @t416))))) % 1.53/1.80 (assume @p223 (forall @t264 (=> @t427 (tptp.element @t425 (tptp.the_carrier @t424))))) % 1.53/1.80 (assume @p224 true) % 1.53/1.80 (assume @p225 (forall @t19 (=> (and @t33 @t257 @t245 @t205 @t145 @t234 @t16) (tptp.element @t256 @t100)))) % 1.53/1.80 (assume @p226 (forall @t19 (=> @t254 (tptp.element @t311 @t3)))) % 1.53/1.80 (assume @p227 (forall @t19 (=> @t254 (tptp.element @t313 @t3)))) % 1.53/1.80 (assume @p228 (forall @t264 (=> @t430 (tptp.element @t428 @t96)))) % 1.53/1.80 (assume @p229 (forall @t6 (and @t431 (tptp.latt_str @t276)))) % 1.53/1.80 (assume @p230 (forall @t75 (=> (and @t33 @t157 @t151 @t150) (tptp.element @t278 @t3)))) % 1.53/1.80 (assume @p231 (forall @t6 (tptp.element @t432 @t396))) % 1.53/1.80 (assume @p232 (forall @t6 (=> @t17 (tptp.element @t320 @t100)))) % 1.53/1.80 (assume @p233 (forall @t19 (=> @t93 (tptp.relation_of2_as_subset @t433 @t11 @t11)))) % 1.53/1.80 (assume @p234 (forall @t19 (=> @t434 (tptp.element @t298 @t100)))) % 1.53/1.80 (assume @p235 (forall @t264 (=> @t439 (tptp.element @t435 @t14)))) % 1.53/1.80 (assume @p236 (forall @t6 (tptp.relation @t306))) % 1.53/1.80 (assume @p237 (forall @t19 (=> @t5 (tptp.element @t406 @t3)))) % 1.53/1.80 (assume @p238 (forall @t6 (and (tptp.reflexive @t307) (tptp.antisymmetric @t307) (tptp.transitive @t307) (tptp.v1_partfun1 @t307 @t1 @t1) (tptp.relation_of2_as_subset @t307 @t1 @t1)))) % 1.53/1.80 (assume @p239 (forall @t442 (=> @t441 (tptp.element @t440 @t69)))) % 1.53/1.80 (assume @p240 (forall @t6 (=> @t214 (and (tptp.relation @t402) (tptp.function @t402))))) % 1.53/1.80 (assume @p241 (forall @t6 (=> @t318 (and (tptp.reflexive @t316) (tptp.antisymmetric @t316) (tptp.transitive @t316) (tptp.v1_partfun1 @t316 @t3 @t3) (tptp.relation_of2_as_subset @t316 @t3 @t3))))) % 1.53/1.80 (assume @p242 (forall @t75 (=> (and @t33 @t162 @t151 @t150) (tptp.element @t239 @t3)))) % 1.53/1.80 (assume @p243 (forall @t264 (=> @t444 (and (tptp.function @t443) (tptp.relation_of2_as_subset @t443 @t1 @t11))))) % 1.53/1.80 (assume @p244 (forall @t6 (=> @t17 (tptp.element @t344 @t100)))) % 1.53/1.80 (assume @p245 (forall @t75 (=> @t152 (tptp.element @t149 @t100)))) % 1.53/1.80 (assume @p246 (forall @t6 (tptp.element @t356 @t56))) % 1.53/1.80 (assume @p247 (forall @t19 (=> @t93 (tptp.relation @t376)))) % 1.53/1.80 (assume @p248 (forall @t19 (=> @t5 (tptp.element @t188 @t3)))) % 1.53/1.80 (assume @p249 (forall @t6 (and @t445 (tptp.rel_str @t308)))) % 1.53/1.80 (assume @p250 (forall @t6 (=> @t318 (and @t449 @t448 @t447 @t446 (tptp.rel_str @t317))))) % 1.53/1.80 (assume @p251 (forall @t75 (=> @t158 (tptp.element @t156 @t3)))) % 1.53/1.80 (assume @p252 (forall @t19 (=> @t57 (tptp.element @t368 @t56)))) % 1.53/1.80 (assume @p253 (forall @t75 (=> @t450 (tptp.element @t398 @t3)))) % 1.53/1.80 (assume @p254 (forall @t6 (=> @t5 (tptp.element @t208 @t3)))) % 1.53/1.80 (assume @p255 @t453) % 1.53/1.80 (assume @p256 (forall @t264 (=> @t458 (tptp.element @t454 @t14)))) % 1.53/1.80 (assume @p257 (forall @t19 (=> (and @t33 @t79 @t10 @t151) (tptp.element @t339 @t352)))) % 1.53/1.80 (assume @p258 (forall @t75 (=> @t163 (tptp.element @t161 @t3)))) % 1.53/1.80 (assume @p259 (forall @t6 (=> @t93 @t459))) % 1.53/1.80 (assume @p260 (forall @t75 (=> @t74 (tptp.element @t273 @t56)))) % 1.53/1.80 (assume @p261 (forall @t75 (=> @t166 (tptp.element @t164 @t56)))) % 1.53/1.80 (assume @p262 (forall @t19 (=> (and @t33 @t79 @t10 @t353) (tptp.element @t351 @t3)))) % 1.53/1.80 (assume @p263 (forall @t6 (=> @t241 (tptp.element @t255 @t3)))) % 1.53/1.80 (assume @p264 (forall @t264 (=> @t461 (tptp.element @t460 @t100)))) % 1.53/1.80 (assume @p265 (forall @t19 (=> @t463 @t462))) % 1.53/1.80 (assume @p266 (forall @t75 (=> @t74 (tptp.element @t465 @t464)))) % 1.53/1.80 (assume @p267 (forall @t19 (=> @t397 (tptp.element @t466 @t56)))) % 1.53/1.80 (assume @p268 (forall @t75 (=> @t166 (tptp.element @t167 @t56)))) % 1.53/1.80 (assume @p269 (forall @t75 (=> @t450 (and @t467 (tptp.net_str @t380 @t1))))) % 1.53/1.80 (assume @p270 (forall @t6 (and (tptp.v1_partfun1 @t468 @t1 @t1) (tptp.relation_of2_as_subset @t468 @t1 @t1)))) % 1.53/1.80 (assume @p271 (forall @t19 (=> @t434 (tptp.element @t243 @t100)))) % 1.53/1.80 (assume @p272 (forall @t6 @t469)) % 1.53/1.80 (assume @p273 (forall @t19 (=> @t397 (tptp.element @t470 @t56)))) % 1.53/1.80 (assume @p274 (forall @t75 (=> @t166 (tptp.element @t471 @t56)))) % 1.53/1.80 (assume @p275 (forall @t75 (=> @t18 (and @t472 (tptp.subnetstr @t249 @t1 @t11))))) % 1.53/1.80 (assume @p276 (forall @t477 (=> @t476 (and (tptp.function @t473) (tptp.quasi_total @t473 @t1 @t69) (tptp.relation_of2_as_subset @t473 @t1 @t69))))) % 1.53/1.80 (assume @p277 (forall @t6 (=> @t17 (and (tptp.function @t191) (tptp.quasi_total @t191 @t3 @t3) (tptp.relation_of2_as_subset @t191 @t3 @t3))))) % 1.53/1.80 (assume @p278 (forall @t19 (=> @t93 @t478))) % 1.53/1.80 (assume @p279 (forall @t19 (=> @t397 (tptp.element @t395 @t396)))) % 1.53/1.80 (assume @p280 (forall @t264 (=> @t480 (tptp.element @t479 @t14)))) % 1.53/1.80 (assume @p281 (forall @t19 (=> (and @t33 @t10 @t205 @t277) (and (tptp.strict_latt_str @t424) (tptp.latt_str @t424))))) % 1.53/1.80 (assume @p282 (forall @t264 (=> @t482 (tptp.element @t481 @t11)))) % 1.53/1.80 (assume @p283 (forall @t19 (=> @t178 @t483))) % 1.53/1.80 (assume @p284 (forall @t264 (=> @t74 (tptp.relation_of2_as_subset @t484 @t1 @t11)))) % 1.53/1.80 (assume @p285 (forall @t6 (=> @t318 (tptp.relation @t392)))) % 1.53/1.80 (assume @p286 (forall @t6 (=> @t162 @t17))) % 1.53/1.80 (assume @p287 (forall @t6 (=> @t5 @t17))) % 1.53/1.80 (assume @p288 (forall @t6 (=> @t245 @t17))) % 1.53/1.80 (assume @p289 (forall @t6 (=> @t17 (forall @t27 (=> @t16 @t247))))) % 1.53/1.80 (assume @p290 (forall @t6 (=> @t157 @t17))) % 0.56/1.80 (assume @p291 (forall @t6 (=> @t10 (and @t162 @t157)))) % 0.56/1.80 (assume @p292 (forall @t19 (=> @t485 (forall @t131 (=> @t261 @t244))))) % 0.56/1.80 (assume @p293 (forall @t6 (=> @t5 (forall @t27 (=> @t146 @t247))))) % 0.56/1.80 (assume @p294 (forall @t19 (=> @t18 (forall @t131 (=> @t401 @t231))))) % 0.56/1.80 (assume @p295 (forall @t75 (=> @t274 @t97))) % 0.56/1.80 (assume @p296 (forall @t19 (=> @t486 (forall @t131 (=> @t230 @t233))))) % 0.56/1.80 (assume @p297 (forall @t6 (=> @t162 (and @t489 @t488 (tptp.relation_of2_as_subset @t7 @t487 @t3))))) % 0.56/1.80 (assume @p298 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 0.56/1.80 (assume @p299 (forall @t6 (=> @t245 (tptp.element @t285 @t288)))) % 0.56/1.80 (assume @p300 (forall @t19 (=> @t18 (and @t491 @t490 (tptp.relation_of2_as_subset @t12 @t14 @t3))))) % 0.56/1.80 (assume @p301 (forall @t6 (=> @t157 (and @t493 @t492 (tptp.relation_of2_as_subset @t8 @t487 @t3))))) % 0.56/1.80 (assume @p302 (exists @t6 @t162)) % 0.56/1.80 (assume @p303 (exists @t6 @t5)) % 0.56/1.80 (assume @p304 (exists @t6 @t245)) % 0.56/1.80 (assume @p305 (exists @t6 @t17)) % 0.56/1.80 (assume @p306 (forall @t6 (=> @t17 (exists @t27 @t16)))) % 0.56/1.80 (assume @p307 (exists @t6 @t157)) % 0.56/1.80 (assume @p308 (exists @t6 @t10)) % 0.56/1.80 (assume @p309 (forall @t19 (=> @t485 (exists @t131 @t261)))) % 0.56/1.80 (assume @p310 (forall @t19 (exists @t131 @t74))) % 0.56/1.80 (assume @p311 (forall @t6 (exists @t27 @t26))) % 0.56/1.80 (assume @p312 (forall @t6 (=> @t5 (exists @t27 @t146)))) % 0.56/1.80 (assume @p313 (forall @t19 (=> @t18 (exists @t131 @t401)))) % 0.56/1.80 (assume @p314 (forall @t19 (exists @t131 @t274))) % 0.56/1.80 (assume @p315 (forall @t19 (=> @t486 (exists @t131 @t230)))) % 0.56/1.80 (assume @p316 (forall @t19 (=> @t107 @t494))) % 0.56/1.80 (assume @p317 (forall @t19 (=> @t496 (and (tptp.empty @t495) (tptp.relation @t495))))) % 0.56/1.80 (assume @p318 (forall @t19 (=> @t65 @t494))) % 0.56/1.80 (assume @p319 (forall @t6 (=> @t54 (and (tptp.empty @t377) @t459)))) % 0.56/1.80 (assume @p320 (forall @t19 (=> @t65 (tptp.finite @t362)))) % 0.56/1.80 (assume @p321 (and @t499 @t498 @t497)) % 0.56/1.80 (assume @p322 (forall @t19 (=> (and @t93 @t68 @t107) (tptp.finite @t212)))) % 0.56/1.80 (assume @p323 (forall @t19 (=> @t501 (and @t478 (tptp.relation_empty_yielding @t198))))) % 0.56/1.80 (assume @p324 (forall @t6 (=> (and @t116 @t5) (and (not (tptp.empty @t2)) @t502)))) % 0.56/1.80 (assume @p325 (forall @t19 (=> @t503 (tptp.finite @t96)))) % 0.56/1.80 (assume @p326 (forall @t19 (=> (and @t33 @t17 @t205 @t16) (and (not (tptp.empty @t12)) (tptp.relation @t12) @t491 @t490)))) % 0.56/1.80 (assume @p327 (forall @t75 (=> (and @t17 @t145 @t16) (and (tptp.transitive_relstr @t249) @t472 (tptp.full_subnetstr @t249 @t1 @t11))))) % 0.56/1.80 (assume @p328 (forall @t6 (and @t504 (tptp.finite @t283)))) % 0.56/1.80 (assume @p329 (forall @t6 (and @t505 (tptp.cup_closed @t56) (tptp.diff_closed @t56) (tptp.preboolean @t56)))) % 0.56/1.80 (assume @p330 (forall @t19 (=> (and @t93 @t68 @t178 @t125) (and @t462 (tptp.function @t393))))) % 0.56/1.80 (assume @p331 (forall @t6 (and @t520 @t431 @t519 @t518 @t517 @t516 @t515 @t514 @t513 @t512 @t511 @t510 @t509 @t508 @t507 @t506 (tptp.complete_latt_str @t276)))) % 0.56/1.80 (assume @p332 (forall @t6 (and @t520 @t431))) % 0.56/1.80 (assume @p333 (forall @t19 (=> (and @t141 @t128) (and (not (tptp.empty_carrier @t408)) @t409)))) % 0.56/1.80 (assume @p334 (forall @t6 @t521)) % 0.56/1.80 (assume @p335 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.56/1.80 (assume @p336 (forall @t6 (=> @t17 (and (tptp.empty @t320) (tptp.v1_membered @t320) (tptp.v2_membered @t320) (tptp.v3_membered @t320) (tptp.v4_membered @t320) (tptp.v5_membered @t320))))) % 0.56/1.80 (assume @p337 (forall @t19 (=> @t463 (tptp.relation @t160)))) % 0.56/1.80 (assume @p338 (forall @t6 (=> @t207 (not @t296)))) % 0.56/1.80 (assume @p339 (forall @t6 @t505)) % 0.56/1.80 (assume @p340 @t535) % 0.56/1.80 (assume @p341 (forall @t6 (and @t534 @t452 @t533 @t532 @t531 @t527 @t526 @t525 @t524 @t523 @t539 @t522 @t538 @t537 @t536 @t530 @t529 @t528))) % 0.56/1.80 (assume @p342 @t499) % 0.56/1.80 (assume @p343 (forall @t19 (=> (tptp.relation_of2 @t11 @t283 @t283) (and (not (tptp.empty_carrier @t540)) (tptp.strict_rel_str @t540) (tptp.trivial_carrier @t540))))) % 0.56/1.80 (assume @p344 (forall @t6 (=> @t318 (and @t543 @t449 @t448 @t447 @t446 @t542 @t541)))) % 0.56/1.80 (assume @p345 (forall @t19 (not (tptp.empty @t369)))) % 0.56/1.80 (assume @p346 (forall @t75 (=> (and @t33 @t17 @t205 @t234 @t16 @t381) (and (not (tptp.empty_carrier @t380)) @t467)))) % 0.56/1.80 (assume @p347 (forall @t19 (=> @t28 @t544))) % 0.56/1.80 (assume @p348 (forall @t19 (=> @t28 @t545))) % 0.56/1.80 (assume @p349 (forall @t19 (=> @t45 (and @t544 @t546)))) % 0.56/1.80 (assume @p350 (forall @t6 (=> (and @t64 @t105) (and @t521 @t549 @t548 @t547 (tptp.natural @t284))))) % 0.56/1.80 (assume @p351 (forall @t19 (and @t550 (tptp.finite @t153)))) % 0.56/1.80 (assume @p352 (forall @t6 (and @t469 @t551))) % 0.56/1.80 (assume @p353 (forall @t6 (=> @t554 (and @t553 @t493 @t492 (tptp.v1_binop_1 @t8 @t3) @t552)))) % 0.56/1.80 (assume @p354 (forall @t6 (and @t520 @t431 @t519 @t518 @t517 @t516 @t515 @t514 @t513))) % 0.56/1.80 (assume @p355 (forall @t6 (=> (and @t31 @t41 @t40 @t5) (and @t502 (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 0.56/1.80 (assume @p356 (and @t498 @t497 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t499 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.56/1.80 (assume @p357 (forall @t6 (and @t469 @t551 (tptp.reflexive @t176) (tptp.symmetric @t176) (tptp.antisymmetric @t176) (tptp.transitive @t176)))) % 0.56/1.80 (assume @p358 (forall @t6 (=> @t207 (not (tptp.empty @t344))))) % 0.56/1.80 (assume @p359 (forall @t19 (=> @t463 (tptp.relation @t155)))) % 0.56/1.80 (assume @p360 (forall @t6 @t504)) % 0.56/1.80 (assume @p361 (forall @t19 (=> @t555 (tptp.closed_subset @t243 @t1)))) % 0.56/1.80 (assume @p362 (forall @t6 (=> @t141 (and @t534 (not (tptp.trivial_carrier @t330)) @t452 @t533 @t532 @t531 @t527 @t526 @t525 @t524 @t523 @t539 @t522 @t538 @t537 @t536 @t530 @t529 @t528)))) % 0.56/1.80 (assume @p363 (forall @t19 (=> @t141 (not (tptp.empty @t155))))) % 0.56/1.80 (assume @p364 (forall @t6 (=> (and @t33 @t79 @t77 @t10) (and @t543 @t449 @t448 @t447 @t446 @t556 @t542 @t541)))) % 0.56/1.80 (assume @p365 (forall @t19 (=> @t45 (and @t545 @t557)))) % 0.56/1.80 (assume @p366 (forall @t19 (=> @t48 (and @t544 @t546 @t558)))) % 0.56/1.80 (assume @p367 (forall @t19 (=> @t48 (and @t545 @t557 @t559)))) % 0.56/1.80 (assume @p368 (forall @t19 (=> @t51 (and @t544 @t546 @t558 @t560)))) % 0.56/1.80 (assume @p369 (forall @t19 (=> @t51 (and @t545 @t557 @t559 @t561)))) % 0.56/1.80 (assume @p370 (forall @t19 (=> @t53 (and @t544 @t546 @t558 @t560 (tptp.v5_membered @t160))))) % 0.56/1.80 (assume @p371 (forall @t19 (=> @t53 (and @t545 @t557 @t559 @t561 (tptp.v5_membered @t159))))) % 0.56/1.80 (assume @p372 (forall @t19 (=> @t28 @t562))) % 0.56/1.80 (assume @p373 (forall @t19 (=> @t45 (and @t562 @t563)))) % 0.56/1.80 (assume @p374 (forall @t19 (=> @t48 (and @t562 @t563 @t564)))) % 0.56/1.80 (assume @p375 (forall @t6 (=> @t109 (and @t459 (tptp.function @t377))))) % 0.56/1.80 (assume @p376 (forall @t6 (=> (and @t33 @t84 @t157) (and @t553 @t493 @t492 (tptp.v2_binop_1 @t8 @t3) @t552)))) % 0.56/1.80 (assume @p377 (forall @t6 (and @t520 @t431 @t519 @t518 @t517 @t516 @t515 @t514 @t513 @t512 @t511 @t510 @t509 @t508 @t507 @t506))) % 0.56/1.80 (assume @p378 (forall @t75 (=> (and @t141 @t125 @t422 @t421 @t71 @t420 @t419) (and (not (tptp.empty_carrier @t416)) @t417)))) % 0.56/1.80 (assume @p379 (forall @t19 (=> (and @t126 @t566 @t565 @t127 @t128) (and @t409 (tptp.reflexive_relstr @t408) (tptp.transitive_relstr @t408) (tptp.antisymmetric_relstr @t408))))) % 0.56/1.80 (assume @p380 (forall @t6 (=> @t64 (and @t521 @t549 @t548 @t547)))) % 0.56/1.80 (assume @p381 (forall @t19 (=> @t463 (tptp.relation @t362)))) % 0.56/1.80 (assume @p382 (forall @t19 @t550)) % 0.56/1.80 (assume @p383 (forall @t19 (=> (and @t257 @t245 @t374 @t101) @t567))) % 0.56/1.80 (assume @p384 (forall @t19 (=> @t141 (not (tptp.empty @t154))))) % 0.56/1.80 (assume @p385 (forall @t6 (=> (and @t33 @t79 @t78 @t10) (and @t543 @t449 @t448 @t447 @t446 @t568 @t542 @t541)))) % 0.56/1.80 (assume @p386 (forall @t19 (=> @t51 (and @t562 @t563 @t564 @t569)))) % 0.56/1.80 (assume @p387 (forall @t19 (=> @t53 (and @t562 @t563 @t564 @t569 (tptp.v5_membered @t362))))) % 0.56/1.80 (assume @p388 (forall @t19 (=> @t214 (and @t478 (tptp.function @t198))))) % 0.56/1.80 (assume @p389 (forall @t6 (=> (and @t33 @t83 @t162) (and @t571 @t489 @t488 (tptp.v1_binop_1 @t7 @t3) @t570)))) % 0.56/1.80 (assume @p390 (forall @t6 (=> @t318 (and @t543 @t449 @t448 @t447 @t446)))) % 0.56/1.80 (assume @p391 (forall @t6 (=> @t64 (and (tptp.epsilon_transitive @t322) (tptp.epsilon_connected @t322) (tptp.ordinal @t322))))) % 0.56/1.80 (assume @p392 (and @t499 @t498)) % 0.56/1.80 (assume @p393 (forall @t19 (=> @t142 (not (tptp.empty @t96))))) % 0.56/1.80 (assume @p394 (forall @t19 (=> (and @t257 @t245 @t367 @t101) @t572))) % 0.56/1.80 (assume @p395 (forall @t6 (=> @t312 (and @t543 @t449 @t448 @t447 @t446 @t568 @t556 (tptp.bounded_relstr @t317) @t542 @t541 (tptp.complete_relstr @t317))))) % 0.56/1.80 (assume @p396 (forall @t19 (=> @t573 (and @t483 (tptp.function @t216))))) % 0.56/1.80 (assume @p397 (forall @t6 (=> (and @t33 @t82 @t162) (and @t571 @t489 @t488 (tptp.v2_binop_1 @t7 @t3) @t570)))) % 0.56/1.80 (assume @p398 (forall @t6 (=> @t574 (tptp.closed_subset @t344 @t1)))) % 0.56/1.80 (assume @p399 (forall @t6 (=> @t576 (not @t575)))) % 0.56/1.80 (assume @p400 (forall @t6 (and @t445 @t579 @t578 @t577))) % 0.56/1.80 (assume @p401 (and @t499 (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))) % 0.56/1.80 (assume @p402 (forall @t6 (=> @t576 (not @t580)))) % 0.56/1.80 (assume @p403 (forall @t19 (=> @t555 @t581))) % 0.56/1.80 (assume @p404 (forall @t264 (=> (and @t17 @t133 @t414 @t229 @t413 @t412) (and (not (tptp.empty_carrier @t410)) @t411)))) % 0.56/1.80 (assume @p405 (forall @t6 (=> @t141 (and (not (tptp.empty_carrier @t308)) @t445 @t579 @t578 @t577)))) % 0.56/1.80 (assume @p406 (forall @t6 (=> @t54 (and @t575 (tptp.relation @t210))))) % 0.56/1.80 (assume @p407 (forall @t6 (and @t534 @t452 @t533 @t532 @t531))) % 0.56/1.80 (assume @p408 (forall @t6 (=> @t54 (and @t580 (tptp.relation @t364))))) % 0.56/1.80 (assume @p409 (forall @t6 (and @t534 @t452 @t533 @t532 @t531 @t527 @t526 @t525 @t530 @t529 @t528))) % 0.56/1.80 (assume @p410 (forall @t6 (and @t534 @t452 @t533 @t532 @t531 @t527 @t526 @t525 (tptp.directed_relstr @t330) @t524 @t523 @t539 @t530 @t529 @t528))) % 0.56/1.80 (assume @p411 (forall @t19 (=> @t503 (tptp.finite @t155)))) % 0.56/1.80 (assume @p412 (forall @t19 (=> @t496 (and (tptp.empty @t393) @t462)))) % 0.56/1.80 (assume @p413 (forall @t6 (and @t534 @t452 @t533 @t532 @t531 @t530 @t529 @t528 @t527 @t526 @t525 @t524 @t523 @t522 @t537))) % 0.56/1.80 (assume @p414 (forall @t19 (=> @t582 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t175 (and @t381 @t203 (= @t1 (tptp.ordered_pair_as_product_element @t14 @t14 @t69 @t170)) (tptp.below_refl @t11 @t69 @t170))))))) % 0.56/1.80 (assume @p415 (forall @t75 (=> (and @t205 @t277) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t69)) @t584)))) % 0.56/1.80 (assume @p416 (forall @t75 (=> (and @t205 @t426 (tptp.complete_latt_str @t11) @t277) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t69)) @t584)))) % 0.56/1.80 (assume @p417 (forall @t264 (=> (and @t205 @t438 @t232 (tptp.net_str @t69 @t11) (tptp.element @t170 @t221)) (= (tptp.in @t1 (tptp.a_3_0_waybel_9 @t11 @t69 @t170)) (exists @t202 (and (tptp.element @t192 @t221) @t585 (tptp.related @t69 @t170 @t192))))))) % 0.56/1.80 (assume @p418 (forall @t19 (=> @t128 (forall @t175 (=> (= @t408 (tptp.rel_str_of @t69 @t170)) @t587))))) % 0.56/1.80 (assume @p419 (forall @t264 (=> @t415 (forall (@list @t192 @t222 @t220 @t588) (=> (= @t410 (tptp.net_str_of @t192 @t222 @t220 @t588)) (and @t585 (= @t11 @t222) (= @t69 @t220) @t589)))))) % 0.56/1.80 (assume @p420 (forall @t75 (=> @t423 (forall @t591 (=> (= @t416 (tptp.latt_str_of @t170 @t192 @t222)) (and @t583 (= @t11 @t192) @t590)))))) % 0.56/1.80 (assume @p421 (forall @t19 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.56/1.80 (assume @p422 (forall @t19 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.56/1.80 (assume @p423 (forall @t75 (=> @t166 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 0.56/1.80 (assume @p424 (forall @t75 (=> @t166 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 0.56/1.80 (assume @p425 (forall @t19 (=> @t57 (= (tptp.subset_complement @t1 @t368) @t11)))) % 0.56/1.80 (assume @p426 (forall @t6 (=> @t93 (= (tptp.relation_inverse @t377) @t1)))) % 0.56/1.80 (assume @p427 (forall @t19 (=> @t397 (= (tptp.complements_of_subsets @t1 @t395) @t11)))) % 0.56/1.80 (assume @p428 (forall @t19 (not (tptp.proper_subset @t1 @t1)))) % 0.56/1.80 (assume @p429 (forall @t6 (=> @t93 (= @t92 (forall @t27 (=> @t592 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 0.56/1.80 (assume @p430 (forall @t6 (not (= @t283 tptp.empty_set)))) % 0.56/1.80 (assume @p431 (forall @t19 (=> @t22 (= (tptp.set_union2 @t283 @t11) @t11)))) % 0.56/1.80 (assume @p432 (forall @t19 (not (and @t593 @t22)))) % 0.56/1.80 (assume @p433 (forall @t19 (=> @t594 @t593))) % 0.56/1.80 (assume @p434 (forall @t19 (=> @t178 (tptp.subset (tptp.relation_dom @t216) @t265)))) % 0.56/1.80 (assume @p435 (forall @t6 (=> @t93 (= @t94 (forall @t269 (=> (and @t268 @t321) @t267)))))) % 0.56/1.80 (assume @p436 (forall @t19 (= (tptp.subset @t283 @t11) @t22))) % 0.56/1.80 (assume @p437 (forall @t19 (=> @t178 (not (and @t595 (tptp.equipotent @t1 @t305) (forall @t131 (=> @t95 (not (tptp.well_orders @t69 @t1))))))))) % 0.56/1.80 (assume @p438 (forall @t19 (= (= @t362 tptp.empty_set) @t180))) % 0.56/1.80 (assume @p439 (forall @t19 (=> @t57 (forall @t131 (=> @t290 @t172))))) % 0.56/1.80 (assume @p440 (forall @t6 (=> @t93 (= @t218 (forall @t190 (=> (and @t268 @t596) @t280)))))) % 0.56/1.80 (assume @p441 (forall @t75 (=> @t180 (or @t172 (tptp.subset @t1 (tptp.set_difference @t11 @t597)))))) % 0.56/1.80 (assume @p442 (forall @t6 (=> @t207 (forall @t27 (=> @t101 (forall @t131 (=> @t150 (= (tptp.in @t69 @t297) @t341)))))))) % 0.56/1.80 (assume @p443 (forall @t6 (=> @t93 (= @t252 (forall @t190 (not (and @t592 (tptp.in @t69 @t217) @t342 @t598 (not @t596)))))))) % 0.56/1.80 (assume @p444 (forall @t19 (= (tptp.subset @t1 @t599) (or @t271 (= @t1 @t599))))) % 0.56/1.80 (assume @p445 (forall @t19 (=> @t22 (tptp.subset @t1 @t600)))) % 0.56/1.80 (assume @p446 (forall @t264 (= (tptp.in @t369 (tptp.cartesian_product2 @t69 @t170)) (and @t601 (tptp.in @t11 @t170))))) % 0.56/1.80 (assume @p447 (forall @t19 (=> @t345 @t602))) % 0.56/1.80 (assume @p448 (forall @t75 (=> @t385 (= @t604 (and (tptp.in @t11 @t359) @t20))))) % 0.56/1.80 (assume @p449 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t135 @t143 @t78 @t77))) % 0.56/1.80 (assume @p450 (forall @t6 (=> (and @t33 @t31 @t41 @t5) (exists @t27 (and @t101 @t133 @t98 @t310))))) % 0.56/1.80 (assume @p451 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))) % 0.56/1.80 (assume @p452 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t134))) % 0.56/1.80 (assume @p453 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t102))) % 0.56/1.80 (assume @p454 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t135 @t78 @t77 @t76 @t134 @t136))) % 0.56/1.80 (assume @p455 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29))) % 0.56/1.80 (assume @p456 (exists @t6 (and @t141 @t90 @t89 @t64 @t105))) % 0.56/1.80 (assume @p457 (exists @t6 (and @t141 @t65))) % 0.56/1.80 (assume @p458 (exists @t6 @t214)) % 0.56/1.80 (assume @p459 (forall @t19 (exists @t131 (and @t74 @t95 @t71 @t70)))) % 0.56/1.80 (assume @p460 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t34))) % 0.56/1.80 (assume @p461 (exists @t6 (and @t141 @t28 @t45 @t48 @t51 @t53))) % 0.56/1.80 (assume @p462 (exists @t6 (and @t5 @t4))) % 0.56/1.80 (assume @p463 (exists @t6 @t119)) % 0.56/1.80 (assume @p464 (exists @t6 (and @t90 @t89 @t64 @t366))) % 0.56/1.80 (assume @p465 (exists @t6 (and @t93 @t68 @t108 @t54))) % 0.56/1.80 (assume @p466 (exists @t6 (and @t93 @t500 @t68))) % 0.56/1.80 (assume @p467 (exists @t6 (and @t54 @t93))) % 0.56/1.80 (assume @p468 (forall @t6 (=> @t141 (exists @t27 (and @t57 @t133))))) % 0.56/1.80 (assume @p469 (forall @t6 (=> @t574 (exists @t27 (and @t101 @t367))))) % 0.56/1.80 (assume @p470 (forall @t6 (=> @t5 (exists @t27 (and @t101 @t99 @t98))))) % 0.56/1.80 (assume @p471 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t102 @t30 @t29))) % 0.56/1.80 (assume @p472 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34 @t36 @t120 @t129))) % 0.56/1.80 (assume @p473 (exists @t6 (and @t5 @t33 @t605 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t116 @t36 @t35 @t148 @t42 @t39 @t38))) % 0.56/1.80 (assume @p474 (exists @t6 @t54)) % 0.56/1.80 (assume @p475 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t114))) % 0.56/1.80 (assume @p476 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t116))) % 0.56/1.80 (assume @p477 (forall @t6 (exists @t27 (and @t57 @t132 @t178 @t125 @t124 @t63 @t62 @t61 @t52 @t107)))) % 0.56/1.80 (assume @p478 (exists @t6 @t110)) % 0.56/1.80 (assume @p479 (forall @t6 (exists @t27 (and @t128 @t178 @t125 @t124 @t123 @t122 @t121)))) % 0.56/1.80 (assume @p480 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34))) % 0.56/1.80 (assume @p481 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40))) % 0.56/1.80 (assume @p482 (exists @t6 (and @t93 @t68 @t108 @t54 @t90 @t89 @t64))) % 0.56/1.80 (assume @p483 (forall @t19 (exists @t131 (and @t74 @t95 @t71)))) % 0.56/1.80 (assume @p484 (exists @t6 @t576)) % 0.56/1.80 (assume @p485 (forall @t6 (exists @t27 (and @t57 @t132)))) % 0.56/1.80 (assume @p486 (forall @t6 (exists @t27 (and @t57 (not @t606))))) % 0.56/1.80 (assume @p487 (forall @t6 (=> @t574 (exists @t27 (and @t101 @t367 @t374))))) % 0.56/1.80 (assume @p488 (forall @t6 (=> (and @t33 @t31 @t5) (exists @t27 (and @t101 @t133 @t107 @t99 @t98))))) % 0.56/1.80 (assume @p489 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29 @t120 @t129))) % 0.56/1.80 (assume @p490 (forall @t6 (exists @t27 (and @t397 @t133 @t107)))) % 0.56/1.80 (assume @p491 (exists @t6 @t141)) % 0.56/1.80 (assume @p492 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))) % 0.56/1.80 (assume @p493 (forall @t6 (=> @t141 (exists @t27 (and @t57 @t133 @t107))))) % 0.56/1.80 (assume @p494 (exists @t6 @t109)) % 0.56/1.80 (assume @p495 (exists @t6 (and @t10 @t9))) % 0.56/1.80 (assume @p496 (exists @t6 (and @t141 @t90 @t89 @t64))) % 0.56/1.80 (assume @p497 (forall @t6 (exists @t27 (and @t128 @t178 @t126 (tptp.symmetric @t11) @t566 @t565 @t127)))) % 0.56/1.80 (assume @p498 (exists @t6 @t501)) % 0.56/1.80 (assume @p499 (exists @t6 (and @t17 @t33))) % 0.56/1.80 (assume @p500 (forall @t6 (=> @t17 (exists @t27 (and @t289 @t133 @t107))))) % 0.56/1.80 (assume @p501 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t15))))) % 0.56/1.80 (assume @p502 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t35 @t148 @t42))) % 0.56/1.80 (assume @p503 (forall @t6 (=> (and @t33 @t605 @t31 @t41 @t40 @t37 @t5) (exists @t27 (and @t101 @t133 @t607 @t98 @t310))))) % 0.56/1.80 (assume @p504 (exists @t6 (and @t5 @t33 @t4 @t41 @t372))) % 0.56/1.80 (assume @p505 (forall @t6 (=> @t207 (exists @t27 (and @t101 @t133))))) % 0.56/1.80 (assume @p506 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))) % 0.56/1.80 (assume @p507 (exists @t6 (and @t10 @t33 @t9))) % 0.56/1.80 (assume @p508 (forall @t6 (=> @t574 (exists @t27 (and @t101 @t374))))) % 0.56/1.80 (assume @p509 (forall @t19 (=> @t18 (exists @t131 (and @t401 @t608 @t407))))) % 0.56/1.80 (assume @p510 (forall @t6 (=> @t258 (exists @t27 (and @t101 @t133 @t374))))) % 0.56/1.80 (assume @p511 (forall @t19 (=> (and @t17 @t205 @t16) (exists @t131 (and @t401 @t232 @t608 @t407))))) % 0.56/1.80 (assume @p512 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79))) % 0.56/1.80 (assume @p513 (forall @t264 (=> @t427 (= @t425 @t173)))) % 0.56/1.80 (assume @p514 (forall @t264 (=> @t430 (= @t428 @t173)))) % 0.56/1.80 (assume @p515 (forall @t6 (= @t432 @t56))) % 0.56/1.80 (assume @p516 (forall @t19 (=> @t93 (= @t433 @t376)))) % 0.56/1.80 (assume @p517 (forall @t264 (=> @t439 (= @t435 @t383)))) % 0.56/1.80 (assume @p518 (forall @t6 (= @t307 @t306))) % 0.56/1.80 (assume @p519 (forall @t442 (=> @t441 (= @t440 (tptp.apply_binary @t170 @t192 @t222))))) % 0.56/1.80 (assume @p520 (forall @t6 (=> @t318 (= @t316 @t392)))) % 0.56/1.80 (assume @p521 (forall @t264 (=> @t444 (= @t443 @t609)))) % 0.56/1.80 (assume @p522 (forall @t75 (=> @t152 (= @t149 @t610)))) % 0.56/1.80 (assume @p523 (forall @t75 (=> @t158 (= @t156 @t278)))) % 0.56/1.80 (assume @p524 (forall @t264 (=> @t458 (= @t454 @t383)))) % 0.56/1.80 (assume @p525 (forall @t75 (=> @t163 (= @t161 @t239)))) % 0.56/1.80 (assume @p526 (forall @t75 (=> @t74 (= @t273 @t359)))) % 0.56/1.80 (assume @p527 (forall @t75 (=> @t166 (= @t164 @t611)))) % 0.56/1.80 (assume @p528 (forall @t264 (=> @t461 (= @t460 (tptp.relation_inverse_image @t69 @t170))))) % 0.56/1.80 (assume @p529 (forall @t75 (=> @t74 (= @t465 @t358)))) % 0.56/1.80 (assume @p530 (forall @t19 (=> @t397 (= @t466 @t600)))) % 0.56/1.80 (assume @p531 (forall @t75 (=> @t166 (= @t167 @t612)))) % 0.56/1.80 (assume @p532 (forall @t6 (= @t468 @t176))) % 0.56/1.80 (assume @p533 (forall @t19 (=> @t397 (= @t470 @t314)))) % 0.56/1.80 (assume @p534 (forall @t75 (=> @t166 (= @t471 @t613)))) % 0.56/1.80 (assume @p535 (forall @t477 (=> @t476 (= @t473 @t614)))) % 0.56/1.80 (assume @p536 (forall @t264 (=> @t480 (= @t479 @t383)))) % 0.56/1.80 (assume @p537 (forall @t264 (=> @t482 (= @t481 @t383)))) % 0.56/1.80 (assume @p538 (forall @t264 (=> @t74 (= @t484 @t609)))) % 0.56/1.80 (assume @p539 (forall @t75 (= @t274 @t74))) % 0.56/1.80 (assume @p540 (forall @t19 (=> @t169 (= @t168 @t180)))) % 0.56/1.80 (assume @p541 (forall @t19 (= @t361 (tptp.are_equipotent @t1 @t11)))) % 0.56/1.80 (assume @p542 (forall @t75 (=> @t616 (= @t615 @t340)))) % 0.56/1.80 (assume @p543 (forall @t75 (=> @t617 (= (tptp.related_reflexive @t1 @t11 @t69) @t328)))) % 0.56/1.80 (assume @p544 (forall @t19 (=> @t169 (tptp.ordinal_subset @t1 @t1)))) % 0.56/1.80 (assume @p545 (forall @t19 (tptp.subset @t1 @t1))) % 0.56/1.80 (assume @p546 (forall @t19 (tptp.equipotent @t1 @t1))) % 0.56/1.80 (assume @p547 (forall @t75 (=> @t616 (tptp.below_refl @t1 @t11 @t11)))) % 0.56/1.80 (assume @p548 (forall @t75 (=> @t617 (tptp.related_reflexive @t1 @t11 @t11)))) % 0.56/1.80 (assume @p549 (forall @t19 (=> @t632 (=> @t631 (exists @t131 (and @t95 @t71 (forall @t197 (= @t196 (and @t294 @t294 (exists @t622 (and (= @t170 @t619) (tptp.in @t192 @t619) (forall @t621 (=> @t620 (tptp.in (tptp.ordered_pair @t192 @t618) @t11)))))))))))))) % 0.56/1.80 (assume @p550 (forall @t6 (=> @t635 (exists @t27 (and @t178 @t125 (forall @t175 (= @t174 (and @t172 @t172 (= @t170 @t597))))))))) % 0.56/1.80 (assume @p551 (forall @t19 (=> @t648 (=> @t647 (exists @t131 (and @t95 @t71 (forall @t197 (= @t196 (and @t641 @t641 @t639))))))))) % 0.56/1.80 (assume @p552 (forall @t19 (=> @t648 (=> @t649 (exists @t131 (and @t95 @t71 (forall @t197 (= @t196 (and @t195 @t195 @t639))))))))) % 0.56/1.80 (assume @p553 (forall @t6 (=> (exists @t27 (and @t61 @t20)) (exists @t27 (and @t61 @t20 (forall @t131 (=> @t650 (=> @t172 (tptp.ordinal_subset @t11 @t69))))))))) % 0.56/1.80 (assume @p554 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t674)) (not (and @t295 (forall @t27 (not (and @t20 (forall @t131 (=> (and @t172 @t673) (= @t69 @t11))))))))))) (forall @t185 (=> @t657 (=> @t672 (=> (tptp.in @t671 tptp.omega) (forall @t627 (=> (tptp.element @t588 (tptp.powerset (tptp.powerset @t671))) (not (and (not (= @t588 tptp.empty_set)) (forall @t626 (not (and @t625 (forall @t622 (=> (and (tptp.in @t619 @t588) (tptp.subset @t624 @t619)) (= @t619 @t624)))))))))))))) (forall @t185 (=> @t657 (=> (and (tptp.being_limit_ordinal @t170) (forall @t621 (=> (tptp.ordinal @t618) (=> (tptp.in @t618 @t170) (=> (tptp.in @t618 tptp.omega) (forall @t670 (=> (tptp.element @t666 (tptp.powerset (tptp.powerset @t618))) (not (and (not (= @t666 tptp.empty_set)) (forall @t669 (not (and @t668 (forall @t667 (=> (and (tptp.in @t665 @t666) (tptp.subset @t664 @t665)) (= @t665 @t664))))))))))))))) (or (= @t170 tptp.empty_set) (=> @t656 (forall @t663 (=> (tptp.element @t660 @t654) (not (and (not (= @t660 tptp.empty_set)) (forall @t662 (not (and (tptp.in @t658 @t660) (forall @t661 (=> (and (tptp.in @t659 @t660) (tptp.subset @t658 @t659)) (= @t659 @t658)))))))))))))))) (forall @t185 (=> @t657 (=> @t656 (forall @t655 (=> (tptp.element @t653 @t654) (not (and (not (= @t653 tptp.empty_set)) (forall (@list @t651) (not (and (tptp.in @t651 @t653) (forall (@list @t652) (=> (and (tptp.in @t652 @t653) (tptp.subset @t651 @t652)) (= @t652 @t651))))))))))))))) % 0.56/1.80 (assume @p555 (forall @t75 (=> @t678 (exists @t185 (and @t677 (forall @t333 (= (tptp.in @t331 @t170) (and @t215 @t676 (tptp.in (tptp.ordered_pair @t382 @t675) @t11))))))))) % 0.56/1.80 (assume @p556 (forall @t19 (=> @t632 (=> @t631 (exists @t131 (forall @t185 (= @t211 (exists @t202 (and @t215 @t215 (exists @t622 (and (= @t192 @t619) @t680 @t679))))))))))) % 0.56/1.80 (assume @p557 (forall @t19 (=> @t632 (forall @t131 (=> (forall @t591 (=> (and @t623 (exists @t690 (and @t689 @t687 (exists @t626 (and (= @t220 @t624) (tptp.in @t588 @t624) (forall @t622 (=> @t686 (tptp.in (tptp.ordered_pair @t588 @t619) @t11))))))) @t685 (exists @t684 (and (= @t683 @t222) (tptp.in @t618 @t1) (exists @t669 (and (= @t618 @t664) (tptp.in @t666 @t664) (forall @t667 (=> (tptp.in @t665 @t664) (tptp.in (tptp.ordered_pair @t666 @t665) @t11)))))))) @t682)) (exists @t185 (forall @t202 (= @t263 (exists @t227 (and (tptp.in @t222 @t681) @t378 (exists (@list @t660 @t658) (and (= (tptp.ordered_pair @t660 @t658) @t192) (tptp.in @t660 @t1) (exists @t661 (and (= @t660 @t659) (tptp.in @t658 @t659) (forall @t655 (=> (tptp.in @t653 @t659) (tptp.in (tptp.ordered_pair @t658 @t653) @t11))))))))))))))))) % 0.56/1.80 (assume @p558 (forall @t75 (=> @t697 (=> (forall @t591 (=> (and @t623 (exists @t225 (and @t695 (exists @t627 (and @t694 @t693 (tptp.relstr_set_smaller @t1 @t220 @t588))))) @t685 (exists @t626 (and (= @t624 @t222) (exists @t622 (and (tptp.element @t619 @t3) @t692 (tptp.relstr_set_smaller @t1 @t624 @t619)))))) @t682)) (exists @t185 (forall @t202 (= @t263 (exists @t227 (and (tptp.in @t222 @t691) @t378 (exists @t621 (and (= @t618 @t192) (exists @t670 (and (tptp.element @t666 @t3) (tptp.in @t666 @t11) (tptp.relstr_set_smaller @t1 @t618 @t666)))))))))))))) % 0.56/1.80 (assume @p559 (forall @t6 (=> @t635 (exists @t27 (forall @t131 (= @t290 (exists @t185 (and @t294 @t294 (= @t69 (tptp.singleton @t170)))))))))) % 0.56/1.80 (assume @p560 (forall @t19 (=> (forall @t394 (=> (and @t171 (exists @t704 (and (= @t703 @t170) @t676 (= @t220 (tptp.singleton @t222)))) @t702 (exists (@list @t588 @t624) (and (= (tptp.ordered_pair @t588 @t624) @t192) @t701 (= @t624 (tptp.singleton @t588))))) @t623)) (exists @t131 (forall @t185 (= @t211 (exists @t202 (and (tptp.in @t192 @t96) @t700 (exists @t699 (and (= @t698 @t170) (tptp.in @t619 @t1) (= @t618 (tptp.singleton @t619)))))))))))) % 0.56/1.80 (assume @p561 (forall @t6 (=> @t64 (=> (forall @t269 (=> (and @t280 (exists @t202 (and @t706 @t702 (=> (tptp.in @t192 tptp.omega) (forall @t227 (=> (tptp.element @t222 (tptp.powerset (tptp.powerset @t192))) @t705))))) @t319 (exists @t626 (and (tptp.ordinal @t624) (= @t170 @t624) (=> (tptp.in @t624 tptp.omega) (forall @t622 (=> (tptp.element @t619 (tptp.powerset (tptp.powerset @t624))) (not (and (not (= @t619 tptp.empty_set)) (forall @t621 (not (and @t620 (forall @t670 (=> (and (tptp.in @t666 @t619) (tptp.subset @t618 @t666)) (= @t666 @t618)))))))))))))) @t171)) (exists @t27 (forall @t131 (= @t290 (exists @t185 (and (tptp.in @t170 @t284) @t387 (exists @t669 (and (tptp.ordinal @t664) (= @t69 @t664) (=> (tptp.in @t664 tptp.omega) (forall @t667 (=> (tptp.element @t665 (tptp.powerset (tptp.powerset @t664))) (not (and (not (= @t665 tptp.empty_set)) (forall @t663 (not (and (tptp.in @t660 @t665) (forall @t662 (=> (and (tptp.in @t658 @t665) (tptp.subset @t660 @t658)) (= @t658 @t660)))))))))))))))))))))) % 0.56/1.80 (assume @p562 (forall @t19 (=> @t555 (=> (forall @t394 (=> (and @t171 (exists @t227 (and @t645 @t709 (tptp.closed_subset @t222 @t1) @t707)) @t702 (exists @t225 (and @t642 @t695 (tptp.closed_subset @t220 @t1) (tptp.subset @t11 @t192)))) @t623)) (exists @t131 (forall @t185 (= @t211 (exists @t202 (and @t708 @t700 (exists @t627 (and @t638 @t637 (tptp.closed_subset @t588 @t1) @t707))))))))))) % 0.56/1.80 (assume @p563 (forall @t19 (=> @t711 (=> (forall @t394 (=> (and @t171 @t710 @t702 (tptp.in (tptp.set_difference @t344 @t192) @t11)) @t623)) (exists @t131 (forall @t185 (= @t211 (exists @t202 (and @t708 @t700 @t710))))))))) % 0.56/1.80 (assume @p564 (forall @t19 (=> @t713 (=> (forall @t394 (=> (and @t171 (exists @t227 (and @t332 (= @t170 (tptp.set_difference @t222 @t283)))) @t702 (exists @t225 (and @t712 (= @t192 (tptp.set_difference @t220 @t283))))) @t623)) (exists @t131 (forall @t185 (= @t211 (exists @t202 (and (tptp.in @t192 @t56) @t700 (exists @t627 (and @t693 (= @t170 (tptp.set_difference @t588 @t283))))))))))))) % 0.56/1.80 (assume @p565 (forall @t19 (=> @t648 (=> @t647 (exists @t131 (forall @t185 (= @t211 (exists @t202 (and @t716 @t716 @t715))))))))) % 0.56/1.80 (assume @p566 (forall @t19 (=> @t648 (forall @t131 (=> (forall @t591 (=> (and @t623 (exists @t690 (and @t689 (tptp.in @t220 @t640) @t725)) @t685 (exists @t699 (and @t722 (tptp.in @t619 @t640) @t721))) @t682)) (exists @t185 (forall @t202 (= @t263 (exists @t227 (and (tptp.in @t222 @t720) @t378 (exists @t719 (and @t718 (tptp.in @t664 @t640) @t717)))))))))))) % 0.56/1.80 (assume @p567 (forall @t19 (=> @t648 (=> @t649 (exists @t131 (forall @t185 (= @t211 (exists @t202 (and @t209 @t209 @t715))))))))) % 0.56/1.80 (assume @p568 (forall @t19 (=> @t648 (forall @t131 (=> (forall @t591 (=> (and @t623 (exists @t690 (and @t689 @t712 @t725)) @t685 (exists @t699 (and @t722 @t692 @t721))) @t682)) (exists @t185 (forall @t202 (= @t263 (exists @t227 (and (tptp.in @t222 @t726) @t378 (exists @t719 (and @t718 (tptp.in @t664 @t11) @t717)))))))))))) % 0.56/1.80 (assume @p569 (forall @t75 (=> @t678 (=> (forall @t591 (=> (and @t623 (exists @t690 (and (= @t192 @t688) (tptp.in (tptp.ordered_pair @t727 (tptp.apply @t69 @t588)) @t11))) @t685 (exists (@list @t624 @t619) (and (= @t222 (tptp.ordered_pair @t624 @t619)) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t624) (tptp.apply @t69 @t619)) @t11)))) @t682)) (exists @t185 (forall @t202 (= @t263 (exists @t227 (and (tptp.in @t222 @t418) @t378 (exists @t684 (and (= @t192 @t683) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t618) (tptp.apply @t69 @t666)) @t11)))))))))))) % 0.56/1.80 (assume @p570 (forall @t6 (=> (forall @t269 (=> (and @t280 @t650 @t319 @t657) @t171)) (exists @t27 (forall @t131 (= @t290 (exists @t185 (and @t294 @t387 @t650)))))))) % 0.56/1.80 (assume @p571 (forall @t75 (=> @t730 (=> (forall @t591 (=> (and @t623 @t728 @t685 (tptp.in (tptp.relation_image @t69 @t222) @t11)) @t682)) (exists @t185 (forall @t202 (= @t263 (exists @t227 (and (tptp.in @t222 @t729) @t378 @t728))))))))) % 0.56/1.80 (assume @p572 (forall @t19 (=> @t61 (=> (forall @t394 (=> (and @t171 (exists @t227 (and (tptp.ordinal @t222) @t685 @t676)) @t702 (exists @t225 (and (tptp.ordinal @t220) @t732 @t687))) @t623)) (exists @t131 (forall @t185 (= @t211 (exists @t202 (and (tptp.in @t192 @t731) @t700 (exists @t627 (and (tptp.ordinal @t588) @t589 @t701))))))))))) % 0.56/1.80 (assume @p573 (forall @t19 (=> @t632 (forall @t131 (exists @t185 (forall @t202 (= @t263 (and (tptp.in @t192 @t681) (exists @t704 (and @t733 @t676 (exists @t627 (and (= @t222 @t588) (tptp.in @t220 @t588) (forall @t626 (=> @t625 (tptp.in (tptp.ordered_pair @t220 @t624) @t11))))))))))))))) % 0.56/1.80 (assume @p574 (forall @t75 (=> @t697 (exists @t185 (forall @t202 (= @t263 (and (tptp.in @t192 @t691) (exists @t227 (and @t378 @t734))))))))) % 0.56/1.80 (assume @p575 (forall @t19 (exists @t131 (forall @t185 (= @t211 (and (tptp.in @t170 @t96) (exists @t333 (and (= @t331 @t170) @t215 (= @t222 @t735))))))))) % 0.56/1.80 (assume @p576 (forall @t6 (=> @t64 (exists @t27 (forall @t131 (= @t290 (and (tptp.in @t69 @t284) (exists @t185 (and @t657 @t171 @t672))))))))) % 0.56/1.80 (assume @p577 (forall @t19 (=> @t555 (exists @t131 (forall @t185 (= @t211 (and @t737 @t736))))))) % 0.56/1.80 (assume @p578 (forall @t19 (=> @t711 (exists @t131 (forall @t185 (= @t211 (and @t737 @t710))))))) % 0.56/1.80 (assume @p579 (forall @t19 (=> @t713 (exists @t131 (forall @t185 (= @t211 (and (tptp.in @t170 @t56) (exists @t202 (and @t209 (= @t170 (tptp.set_difference @t192 @t283))))))))))) % 0.56/1.80 (assume @p580 (forall @t19 (=> @t648 (forall @t131 (exists @t185 (forall @t202 (= @t263 (and (tptp.in @t192 @t720) (exists @t704 (and @t733 (tptp.in @t222 @t640) @t738)))))))))) % 0.56/1.80 (assume @p581 (forall @t19 (=> @t648 (forall @t131 (exists @t185 (forall @t202 (= @t263 (and (tptp.in @t192 @t726) (exists @t704 (and @t733 @t332 @t738)))))))))) % 0.56/1.80 (assume @p582 (forall @t75 (=> @t678 (exists @t185 (forall @t202 (= @t263 (and (tptp.in @t192 @t418) (exists @t704 (and (= @t192 @t703) (tptp.in (tptp.ordered_pair @t675 @t727) @t11)))))))))) % 0.56/1.80 (assume @p583 (forall @t6 (exists @t27 (forall @t131 (= @t290 (and @t172 @t650)))))) % 0.56/1.80 (assume @p584 (forall @t75 (=> @t730 (exists @t185 (forall @t202 (= @t263 (and (tptp.in @t192 @t729) @t728))))))) % 0.56/1.80 (assume @p585 (forall @t19 (=> @t61 (exists @t131 (forall @t185 (= @t211 (and (tptp.in @t170 @t731) (exists @t202 (and @t706 @t623 @t215))))))))) % 0.56/1.80 (assume @p586 (forall @t75 (=> @t697 (=> (and @t334 (exists @t185 (and @t184 @t195 (tptp.relstr_set_smaller @t1 tptp.empty_set @t170))) (forall @t333 (=> (and @t739 (tptp.subset @t222 @t69) @t734) (exists @t627 (and @t694 @t693 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t222 @t735) @t588)))))) (exists @t626 (and (tptp.element @t624 @t3) (tptp.in @t624 @t11) (tptp.relstr_set_smaller @t1 @t69 @t624))))))) % 0.56/1.80 (assume @p587 (forall @t19 (=> @t632 (=> (and (forall @t394 (=> (and @t172 @t630 @t628) @t623)) (forall @t131 (not (and @t172 (forall @t185 (not (exists @t622 (and (= @t69 @t619) @t680 @t679)))))))) (exists @t131 (and @t95 @t71 @t360 (forall @t185 (=> @t294 (exists @t670 (and (= @t170 @t666) (tptp.in @t383 @t666) (forall @t669 (=> @t668 (tptp.in (tptp.ordered_pair @t383 @t664) @t11))))))))))))) % 0.56/1.80 (assume @p588 (forall @t6 (=> (and (forall @t269 (=> (and @t20 @t634 @t633) @t171)) (forall @t27 (not (and @t20 (forall @t131 (not @t634)))))) @t742))) % 0.56/1.80 (assume @p589 (forall @t19 (=> @t648 (=> (and (forall @t394 (=> (and @t644 @t646 @t643) @t623)) (forall @t131 (not (and @t644 @t744)))) (exists @t131 (and @t95 @t71 (= @t359 @t640) (forall @t185 (=> @t641 @t743)))))))) % 0.56/1.80 (assume @p590 (forall @t19 (=> @t648 (=> (and (forall @t394 (=> (and @t290 @t646 @t643) @t623)) (forall @t131 (not (and @t290 @t744)))) (exists @t131 (and @t95 @t71 (= @t359 @t11) (forall @t185 (=> @t195 @t743)))))))) % 0.56/1.80 (assume @p591 (=> (forall @t6 (=> @t64 (=> (forall @t27 (=> @t61 (=> @t20 (=> (tptp.in @t11 tptp.omega) (forall @t131 (=> (tptp.element @t69 (tptp.powerset @t464)) (not (and @t346 (forall @t185 (not (and @t211 (forall @t202 (=> (and @t739 (tptp.subset @t170 @t192)) @t700))))))))))))) (=> @t745 (forall @t227 (=> (tptp.element @t222 @t396) @t705)))))) (forall @t6 (=> @t64 (=> @t745 (forall @t626 (=> (tptp.element @t624 @t396) (not (and (not (= @t624 tptp.empty_set)) (forall @t622 (not (and @t686 (forall @t621 (=> (and (tptp.in @t618 @t624) (tptp.subset @t619 @t618)) (= @t618 @t619))))))))))))))) % 0.56/1.80 (assume @p592 (forall @t6 @t742)) % 0.56/1.80 (assume @p593 (forall @t19 (=> @t555 (exists @t131 (and @t336 (forall @t185 (=> @t746 (= @t211 @t736)))))))) % 0.56/1.80 (assume @p594 (forall @t19 (=> @t711 (exists @t131 (and @t336 (forall @t185 (=> @t746 (= @t211 @t710)))))))) % 0.56/1.80 (assume @p595 (forall @t19 (=> @t386 (tptp.disjoint @t11 @t1)))) % 0.56/1.80 (assume @p596 (forall @t19 (=> @t361 (tptp.equipotent @t11 @t1)))) % 0.56/1.80 (assume @p597 (forall @t6 (tptp.in @t1 @t284))) % 0.56/1.80 (assume @p598 (forall @t19 (=> @t397 (and @t748 (not (and (not @t747) @t272)))))) % 0.56/1.80 (assume @p599 (forall @t264 (not (and (= @t153 (tptp.unordered_pair @t69 @t170)) (not @t586) (not @t583))))) % 0.56/1.80 (assume @p600 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t69))) (and @t22 (tptp.in @t1 @t358)))))) % 0.56/1.80 (assume @p601 (forall @t19 (=> @t178 (tptp.subset @t749 @t1)))) % 0.56/1.80 (assume @p602 (forall @t19 (=> @t178 (tptp.subset @t216 @t11)))) % 0.56/1.80 (assume @p603 (forall @t19 (=> @t178 (tptp.subset @t749 @t266)))) % 0.56/1.80 (assume @p604 (forall @t75 (=> @t180 (and (tptp.subset @t681 @t726) (tptp.subset (tptp.cartesian_product2 @t69 @t1) (tptp.cartesian_product2 @t69 @t11)))))) % 0.56/1.80 (assume @p605 (forall @t19 (=> @t178 (= @t749 (tptp.set_intersection2 @t266 @t1))))) % 0.56/1.80 (assume @p606 (forall @t264 (=> (and @t180 @t304) (tptp.subset @t681 (tptp.cartesian_product2 @t11 @t170))))) % 0.56/1.80 (assume @p607 (forall @t19 (=> @t397 (=> @t315 (= @t750 (tptp.subset_complement @t1 @t466)))))) % 0.56/1.80 (assume @p608 (forall @t19 (=> @t754 (= @t751 (forall @t175 (=> (and @t304 (tptp.subset @t170 @t1) @t290) @t195)))))) % 0.56/1.80 (assume @p609 (forall @t75 (=> @t274 (and (tptp.subset @t359 @t1) (tptp.subset @t358 @t11))))) % 0.56/1.80 (assume @p610 (forall @t19 (=> @t397 (=> @t315 (= @t755 (tptp.subset_complement @t1 @t470)))))) % 0.56/1.80 (assume @p611 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (=> @t381 (= @t756 (tptp.a_3_0_waybel_9 @t1 @t11 @t69))))))))) % 0.56/1.80 (assume @p612 (forall @t19 (=> @t180 (= @t155 @t11)))) % 0.56/1.80 (assume @p613 (forall @t6 (exists @t27 (and @t22 @t758 (forall @t131 (=> @t290 (tptp.in @t691 @t11))) @t757)))) % 0.56/1.80 (assume @p614 (forall @t6 (=> @t258 (= @t338 (forall @t27 (=> @t289 (not (and (tptp.centered @t11) @t325 (= @t759 tptp.empty_set))))))))) % 0.56/1.80 (assume @p615 (forall @t19 (=> (and @t180 @t107) @t65))) % 0.56/1.80 (assume @p616 (forall @t6 (=> @t17 (forall @t27 (=> @t289 (= (tptp.finite @t640) @t107)))))) % 0.56/1.80 (assume @p617 (forall @t75 (=> @t95 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t69) @t11) (tptp.relation_rng_restriction @t1 @t760))))) % 0.56/1.80 (assume @p618 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_image @t69 @t11)) (exists @t185 (and (tptp.in @t170 @t359) (tptp.in (tptp.ordered_pair @t170 @t1) @t69) @t195)))))) % 0.56/1.80 (assume @p619 (forall @t19 (=> @t178 (tptp.subset @t761 @t266)))) % 0.56/1.80 (assume @p620 (forall @t19 (=> @t573 (tptp.subset @t763 @t1)))) % 0.56/1.80 (assume @p621 (forall @t19 (=> @t178 (= @t761 (tptp.relation_image @t11 @t764))))) % 0.56/1.80 (assume @p622 (forall @t19 (=> @t178 (=> (tptp.subset @t1 @t265) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t761)))))) % 0.56/1.80 (assume @p623 (forall @t6 (=> @t93 (= (tptp.relation_image @t1 @t210) @t364)))) % 0.56/1.80 (assume @p624 (forall @t19 (=> @t573 (=> @t765 (= @t763 @t1))))) % 0.56/1.80 (assume @p625 (forall @t264 (=> @t768 (=> (tptp.subset @t767 @t11) @t766)))) % 0.56/1.80 (assume @p626 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= (tptp.subset_intersection2 @t3 @t11 @t344) @t11)))))) % 0.56/1.80 (assume @p627 (forall @t6 (=> @t769 (forall @t27 (= @t391 (exists @t131 (and @t150 @t390 @t389))))))) % 0.56/1.80 (assume @p628 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (= @t770 (tptp.relation_image @t11 @t364))))))) % 0.56/1.80 (assume @p629 (forall @t75 (=> @t95 (= (tptp.in @t1 @t771) (exists @t185 (and (tptp.in @t170 @t358) (tptp.in (tptp.ordered_pair @t1 @t170) @t69) @t195)))))) % 0.56/1.80 (assume @p630 (forall @t19 (=> @t178 (tptp.subset @t762 @t265)))) % 0.56/1.80 (assume @p631 (forall @t264 (=> @t768 (=> @t180 @t766)))) % 0.56/1.80 (assume @p632 (forall @t6 (=> @t245 (forall @t27 (=> @t289 (= @t325 (tptp.open_subsets @t640 @t1))))))) % 0.56/1.80 (assume @p633 (forall @t6 (=> @t207 (forall @t27 (=> (and @t205 @t234 @t16) (forall @t131 (=> @t381 (forall @t185 (=> @t203 (forall @t202 (=> (tptp.element @t192 @t756) (=> @t623 (= (tptp.apply_netmap @t1 @t11 @t170) (tptp.apply_netmap @t1 @t380 @t192)))))))))))))) % 0.56/1.80 (assume @p634 (forall @t75 (=> @t95 (= (tptp.in @t1 @t772) (and @t601 (tptp.in @t1 @t375)))))) % 0.56/1.80 (assume @p635 (forall @t6 (=> @t769 (forall @t27 (= @t189 (exists @t131 (and @t150 @t187 @t186))))))) % 0.56/1.80 (assume @p636 (forall @t19 (=> @t178 (not (and @t295 @t765 (= @t762 tptp.empty_set)))))) % 0.56/1.80 (assume @p637 (forall @t75 (=> @t95 (=> @t180 (tptp.subset (tptp.relation_inverse_image @t69 @t1) @t771))))) % 0.56/1.80 (assume @p638 (forall @t19 (=> @t573 (=> @t65 (tptp.finite @t761))))) % 0.56/1.80 (assume @p639 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= @t297 @t373)))))) % 0.56/1.80 (assume @p640 (forall @t6 (=> @t245 (forall @t27 (=> @t289 (= @t300 (tptp.closed_subsets @t640 @t1))))))) % 0.56/1.80 (assume @p641 (forall @t19 (=> @t178 (= @t773 (tptp.relation_dom_restriction @t216 @t1))))) % 0.56/1.80 (assume @p642 (forall @t19 (tptp.subset @t160 @t1))) % 0.56/1.80 (assume @p643 (forall @t6 (=> @t65 (forall @t27 (=> @t397 (not (and @t315 (forall @t131 (not (and @t290 (forall @t185 (=> (and @t195 @t304) @t387)))))))))))) % 0.56/1.80 (assume @p644 (forall @t19 (=> @t178 (= @t773 (tptp.relation_rng_restriction @t1 @t774))))) % 0.56/1.80 (assume @p645 @t776) % 0.56/1.80 (assume @p646 (forall @t75 (=> @t95 (=> (tptp.in @t1 (tptp.relation_field @t772)) (and @t778 @t22))))) % 0.56/1.80 (assume @p647 (forall @t75 (=> (and @t180 @t779) (tptp.subset @t1 @t612)))) % 0.56/1.80 (assume @p648 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t401 (tptp.subset @t221 @t14)))))))) % 0.56/1.80 (assume @p649 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.56/1.80 (assume @p650 (forall @t19 (=> @t782 (forall @t131 (=> @t781 (and (= (tptp.join @t276 @t11 @t69) @t611) (= (tptp.meet @t276 @t11 @t69) @t612))))))) % 0.56/1.80 (assume @p651 (forall @t19 (=> @t22 @t783))) % 0.56/1.80 (assume @p652 (forall @t6 (=> (and @t33 @t41 @t5) (forall @t27 (=> @t101 (= (and @t133 @t99) (forall @t131 (=> (and @t334 @t696) (exists @t185 (and @t184 @t195 @t784)))))))))) % 0.56/1.80 (assume @p653 (forall @t75 (=> (and @t180 @t673) @t779))) % 0.56/1.80 (assume @p654 (forall @t6 (and (= (tptp.the_carrier @t308) @t1) (= (tptp.the_InternalRel @t308) @t307)))) % 0.56/1.80 (assume @p655 (= @t674 (tptp.singleton tptp.empty_set))) % 0.56/1.80 (assume @p656 (forall @t75 (=> @t95 (=> @t786 (and @t785 (tptp.in @t11 @t358)))))) % 0.56/1.80 (assume @p657 (forall @t19 (=> @t178 (and (tptp.subset @t787 @t305) (tptp.subset @t787 @t1))))) % 0.56/1.80 (assume @p658 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t401 (forall @t185 (=> @t203 (forall @t202 (=> @t201 (forall @t227 (=> @t226 (forall @t225 (=> @t224 (=> (and @t685 @t732 @t223) @t200)))))))))))))))) % 0.56/1.80 (assume @p659 (forall @t19 (=> @t573 (forall @t131 (=> @t385 (= @t790 (and @t785 (tptp.in @t788 @t265)))))))) % 0.56/1.80 (assume @p660 (forall @t264 (=> @t792 (forall @t202 (=> (and (tptp.relation @t192) @t474) (=> @t172 (or @t272 (= (tptp.apply @t614 @t69) (tptp.apply @t192 @t791))))))))) % 0.56/1.80 (assume @p661 (forall @t6 (=> @t90 (forall @t27 (=> @t61 (=> @t24 @t22)))))) % 0.56/1.80 (assume @p662 (forall @t6 (=> @t93 (tptp.subset @t1 (tptp.cartesian_product2 @t210 @t364))))) % 0.56/1.80 (assume @p663 (forall @t75 (=> @t95 (tptp.subset (tptp.fiber (tptp.relation_restriction @t69 @t1) @t11) (tptp.fiber @t69 @t11))))) % 0.56/1.80 (assume @p664 (forall @t6 (=> @t17 (forall @t27 (=> @t206 (forall @t131 (=> (and @t232 @t407 @t401) (forall @t185 (=> @t203 (forall @t202 (=> @t201 (forall @t227 (=> @t226 (forall @t225 (=> @t224 (=> (and @t685 @t732 @t200) @t223)))))))))))))))) % 0.56/1.80 (assume @p665 (forall @t19 (=> @t573 (forall @t131 (=> @t385 (=> @t790 (= (tptp.apply @t789 @t1) (tptp.apply @t11 @t788)))))))) % 0.56/1.80 (assume @p666 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= (tptp.subset_difference @t3 @t344 @t373) @t11)))))) % 0.56/1.80 (assume @p667 (forall @t75 (=> (tptp.relation_of2_as_subset @t69 @t11 @t1) (= (forall @t185 (not (and @t195 (forall @t202 (not @t196))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t69) @t11))))) % 0.56/1.80 (assume @p668 (forall @t19 (=> @t178 (=> @t126 (tptp.reflexive @t773))))) % 0.56/1.80 (assume @p669 (forall @t19 (=> @t573 (forall @t131 (=> @t385 (=> (tptp.in @t1 @t265) (= (tptp.apply (tptp.relation_composition @t11 @t69) @t1) (tptp.apply @t69 (tptp.apply @t11 @t1))))))))) % 0.56/1.80 (assume @p670 (forall @t6 (=> (and @t33 @t83 @t81 @t10) (forall @t27 (=> @t151 (forall @t131 (=> @t150 (tptp.below @t1 @t161 @t11)))))))) % 0.56/1.80 (assume @p671 (forall @t19 (=> @t61 (=> @t22 @t64)))) % 0.56/1.80 (assume @p672 (forall @t75 (=> @t274 (= (forall @t185 (not (and @t195 (forall @t202 (not (tptp.in @t246 @t69)))))) (= @t465 @t11))))) % 0.56/1.80 (assume @p673 (forall @t19 (=> @t178 (=> @t793 (tptp.connected @t773))))) % 0.56/1.80 (assume @p674 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (not (and @t594 @t399 @t21))))))) % 0.56/1.80 (assume @p675 (forall @t19 (=> @t178 (=> @t565 (tptp.transitive @t773))))) % 0.56/1.80 (assume @p676 (forall @t6 (=> @t769 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (=> (and @t328 (tptp.related @t1 @t69 @t11)) @t280)))))))) % 0.56/1.80 (assume @p677 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (=> @t180 (and (tptp.subset @t210 @t265) (tptp.subset @t364 @t266)))))))) % 0.56/1.80 (assume @p678 (forall @t19 (=> @t178 (=> @t566 (tptp.antisymmetric @t773))))) % 0.56/1.80 (assume @p679 (forall @t19 (=> @t178 (=> @t796 (and @t795 @t794))))) % 0.56/1.80 (assume @p680 (forall @t6 (=> @t214 (=> (tptp.finite @t210) (tptp.finite @t364))))) % 0.56/1.80 (assume @p681 (forall @t6 (=> @t554 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (=> (and @t340 (tptp.below @t1 @t69 @t11)) @t280)))))))) % 0.56/1.80 (assume @p682 (forall @t6 (=> @t147 @t329))) % 0.56/1.80 (assume @p683 (forall @t6 (exists @t27 (and @t178 @t796)))) % 0.56/1.80 (assume @p684 (forall @t75 (=> @t180 (tptp.subset (tptp.set_intersection2 @t1 @t69) @t612)))) % 0.56/1.80 (assume @p685 (forall @t19 (=> @t582 (forall @t131 (=> @t381 (= (tptp.latt_set_smaller @t11 @t69 @t1) (tptp.relstr_element_smaller @t798 @t1 @t797))))))) % 0.56/1.80 (assume @p686 (forall @t6 (=> @t141 (not (and (forall @t27 (not (and @t20 @t272))) (forall @t27 (=> @t573 (not (and @t741 (forall @t131 (=> @t172 (tptp.in @t740 @t69)))))))))))) % 0.56/1.80 (assume @p687 (forall @t19 (=> @t180 (= @t160 @t1)))) % 0.56/1.80 (assume @p688 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t204 @t219))))))) % 0.56/1.80 (assume @p689 (forall @t19 (=> @t582 (forall @t131 (=> @t800 (= (tptp.relstr_element_smaller @t798 @t1 @t69) (tptp.latt_set_smaller @t11 @t799 @t1))))))) % 0.56/1.80 (assume @p690 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t374 @t567)))))) % 0.56/1.80 (assume @p691 (forall @t6 (=> @t258 (forall @t27 (=> @t235 (forall @t131 (=> @t150 (=> (tptp.in @t69 @t256) @t405)))))))) % 0.56/1.80 (assume @p692 (forall @t6 (=> @t312 (forall @t27 (and (= @t311 (tptp.join_on_relstr @t317 @t11)) (= @t313 (tptp.meet_on_relstr @t317 @t11))))))) % 0.56/1.80 (assume @p693 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.56/1.80 (assume @p694 (forall @t19 (=> @t782 (forall @t131 (=> @t781 (= (tptp.below @t276 @t11 @t69) @t673)))))) % 0.56/1.80 (assume @p695 (forall @t19 (=> @t783 (or @t132 @t22)))) % 0.56/1.80 (assume @p696 (forall @t19 (=> (forall @t131 (= @t172 @t290)) @t181))) % 0.56/1.80 (assume @p697 (forall @t6 (tptp.reflexive @t306))) % 0.56/1.80 (assume @p698 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 0.56/1.80 (assume @p699 @t809) % 0.56/1.80 (assume @p700 (forall @t19 (=> (tptp.element @t11 @t752) (forall @t131 (=> (tptp.element @t69 @t752) (= (tptp.related_reflexive @t330 @t11 @t69) @t673)))))) % 0.56/1.80 (assume @p701 (forall @t19 (=> @t582 (forall @t131 (=> @t381 (= (tptp.latt_element_smaller @t11 @t69 @t1) (tptp.relstr_set_smaller @t798 @t1 @t797))))))) % 0.56/1.80 (assume @p702 (forall @t75 (=> @t95 (=> @t786 (and @t778 (tptp.in @t11 @t777)))))) % 0.56/1.80 (assume @p703 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t367 @t572)))))) % 0.56/1.80 (assume @p704 (forall @t6 (=> @t769 (forall @t27 (=> @t151 (forall @t131 (and (=> @t810 @t811) (=> @t811 @t810)))))))) % 0.56/1.80 (assume @p705 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t219 (and (not (tptp.empty_carrier @t249)) (tptp.directed_relstr @t249))))))))) % 0.56/1.80 (assume @p706 (forall @t19 (=> @t582 (forall @t131 (=> @t800 (= (tptp.relstr_set_smaller @t798 @t1 @t69) (tptp.latt_element_smaller @t11 @t799 @t1))))))) % 0.56/1.80 (assume @p707 (forall @t6 (=> (forall @t27 (=> @t20 (and @t61 @t179))) @t64))) % 0.56/1.80 (assume @p708 (forall @t19 (=> @t178 (=> @t812 (tptp.well_founded_relation @t773))))) % 0.56/1.80 (assume @p709 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t219 (tptp.subnet @t249 @t1 @t11)))))))) % 0.56/1.80 (assume @p710 (forall @t6 (=> @t318 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t69) @t392) @t615)))))))) % 0.56/1.80 (assume @p711 (forall @t19 (=> @t61 (not (and @t180 @t295 (forall @t131 (=> @t650 (not (and @t172 (forall @t185 (=> @t657 (=> @t294 (tptp.ordinal_subset @t69 @t170))))))))))))) % 0.56/1.80 (assume @p712 (forall @t19 (=> @t178 (=> @t595 @t794)))) % 0.56/1.80 (assume @p713 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t175 (=> (tptp.subnet @t170 @t1 @t11) (=> @t250 (tptp.is_eventually_in @t1 @t170 @t69))))))))) % 0.56/1.80 (assume @p714 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (= @t22 (tptp.ordinal_subset @t284 @t11))))))) % 0.56/1.80 (assume @p715 (forall @t75 (=> @t180 (tptp.subset (tptp.set_difference @t1 @t69) @t613)))) % 0.56/1.80 (assume @p716 (forall @t264 (=> (= @t369 @t173) @t587))) % 0.56/1.80 (assume @p717 (forall @t19 (=> @t573 (= @t177 (and @t741 (forall @t131 (=> @t172 (= @t740 @t69)))))))) % 0.56/1.80 (assume @p718 (forall @t6 (=> @t312 (forall @t27 (=> @t151 (forall @t131 (= (= @t11 (tptp.meet_of_latt_set @t1 @t69)) (and @t253 (forall @t185 (=> @t184 (=> (tptp.latt_set_smaller @t1 @t170 @t69) (tptp.below_refl @t1 @t170 @t11)))))))))))) % 0.56/1.80 (assume @p719 (forall @t19 (=> @t20 (= (tptp.apply @t176 @t11) @t11)))) % 0.56/1.80 (assume @p720 (forall @t19 (tptp.subset @t362 @t1))) % 0.56/1.80 (assume @p721 (forall @t6 (=> @t93 (and (= @t364 (tptp.relation_dom @t377)) (= @t210 (tptp.relation_rng @t377)))))) % 0.56/1.80 (assume @p722 (forall @t75 (= (tptp.subset @t153 @t69) (and @t601 @t343)))) % 0.56/1.80 (assume @p723 (forall @t19 (=> @t178 (=> (and @t595 (tptp.subset @t1 @t305)) @t795)))) % 0.56/1.80 (assume @p724 (forall @t19 (= @t813 @t155))) % 0.56/1.80 (assume @p725 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.56/1.80 (assume @p726 (forall @t6 (and @t510 (= (tptp.bottom_of_semilattstr @t276) tptp.empty_set)))) % 0.56/1.80 (assume @p727 (forall @t75 (not (and @t22 @t343 @t172)))) % 0.56/1.80 (assume @p728 (forall @t19 (= @t602 @t180))) % 0.56/1.80 (assume @p729 (forall @t6 (tptp.transitive @t306))) % 0.56/1.80 (assume @p730 (forall @t19 (and (not (and @t815 (forall @t131 (not @t814)))) (not (and (exists @t131 @t814) @t386))))) % 0.56/1.80 (assume @p731 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t271))) % 0.56/1.80 (assume @p732 (forall @t19 (= (tptp.set_difference @t155 @t11) @t362))) % 0.56/1.80 (assume @p733 (forall @t6 (=> @t64 (= @t366 (forall @t27 (=> @t61 (=> @t20 (tptp.in @t731 @t1)))))))) % 0.56/1.80 (assume @p734 (forall @t6 (=> @t258 (forall @t27 (=> @t235 (forall @t131 (=> @t230 (tptp.subset @t256 (tptp.lim_points_of_net @t1 @t69))))))))) % 0.56/1.80 (assume @p735 (forall @t6 (=> @t64 (and (not (and (not @t366) (forall @t27 (=> @t61 (not @t816))))) (not (and (exists @t27 (and @t61 @t816)) @t366)))))) % 0.56/1.80 (assume @p736 (forall @t6 (=> @t817 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 0.56/1.80 (assume @p737 (forall @t19 (=> @t57 (forall @t131 (=> @t165 (= @t819 (tptp.subset @t11 @t818))))))) % 0.56/1.80 (assume @p738 (forall @t6 (=> @t574 (forall @t27 (=> @t289 (=> @t324 (tptp.closed_subset @t759 @t1))))))) % 0.56/1.80 (assume @p739 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (tptp.subset @t820 @t210)))))) % 0.56/1.80 (assume @p740 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (tptp.subset @t298 @t11)))))) % 0.56/1.80 (assume @p741 (forall @t6 (=> @t817 (forall @t27 (=> @t151 (tptp.related @t1 @t208 @t11)))))) % 0.56/1.80 (assume @p742 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (forall @t131 (=> (tptp.in @t69 @t3) (= @t822 (forall @t185 (=> @t746 (=> @t821 @t293))))))))))) % 0.56/1.80 (assume @p743 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (tptp.subset @t770 @t266)))))) % 0.56/1.80 (assume @p744 (forall @t19 (=> @t180 (= @t11 @t813)))) % 0.56/1.80 (assume @p745 (forall @t264 (=> @t792 (=> @t315 (forall @t202 (= (tptp.in @t192 (tptp.relation_inverse_image @t170 @t69)) (and @t215 (tptp.in (tptp.apply @t170 @t192) @t69)))))))) % 0.56/1.80 (assume @p746 (forall @t6 (=> @t574 (forall @t27 (=> @t101 (exists @t131 (and @t336 (forall @t185 (=> @t746 (= @t211 @t821))) (= @t243 (tptp.meet_of_subsets @t3 @t69))))))))) % 0.56/1.80 (assume @p747 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (=> (tptp.subset @t364 @t265) (= @t820 @t210))))))) % 0.56/1.80 (assume @p748 (forall @t19 (=> @t397 @t748))) % 0.56/1.80 (assume @p749 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (=> (tptp.subset @t210 @t266) (= (tptp.relation_rng @t495) @t364))))))) % 0.56/1.80 (assume @p750 (forall @t19 (=> @t397 (=> @t315 (= (tptp.subset_difference @t1 @t356 @t466) @t750))))) % 0.56/1.80 (assume @p751 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (tptp.subset @t11 @t243)))))) % 0.56/1.80 (assume @p752 (forall @t19 (=> @t397 (=> @t315 (= @t755 (tptp.subset_difference @t1 @t356 @t470)))))) % 0.56/1.80 (assume @p753 (forall @t19 (= (tptp.set_difference @t1 @t362) @t160))) % 0.56/1.80 (assume @p754 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (forall @t131 (=> @t385 (=> @t384 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t69)))))))))) % 0.56/1.80 (assume @p755 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.56/1.80 (assume @p756 (forall @t75 (=> (and @t22 @t823) (tptp.element @t1 @t69)))) % 0.56/1.80 (assume @p757 (forall @t6 (= @t752 @t56))) % 0.56/1.80 (assume @p758 (forall @t6 (=> @t64 (tptp.connected @t306)))) % 0.56/1.80 (assume @p759 (forall @t19 (and (not (and @t815 (forall @t131 (not @t824)))) (not (and (exists @t131 @t824) @t386))))) % 0.56/1.80 (assume @p760 (forall @t6 (= @t330 (tptp.incl_POSet @t56)))) % 0.56/1.80 (assume @p761 (forall @t6 (=> @t312 (and @t33 @t79 @t78 @t10 (= @t255 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 0.56/1.80 (assume @p762 (forall @t6 (=> @t295 (forall @t27 (=> @t57 (forall @t131 (=> @t429 (=> @t341 (tptp.in @t69 @t368))))))))) % 0.56/1.80 (assume @p763 (forall @t6 (=> @t574 (forall @t27 (=> @t101 @t581))))) % 0.56/1.80 (assume @p764 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (and (=> @t374 @t825) (=> (and @t257 @t825) @t374))))))) % 0.56/1.80 (assume @p765 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (forall @t131 (=> @t385 (=> @t384 (and (=> @t92 @t126) (=> @t94 @t565) (=> @t252 @t793) (=> @t218 @t566) (=> @t326 @t812)))))))))) % 0.56/1.80 (assume @p766 (forall @t6 (=> @t214 (=> @t108 (forall @t27 (=> @t573 (= (= @t11 @t402) (and (= @t265 @t364) (forall @t175 (and (=> @t826 @t363) (=> @t363 @t826))))))))))) % 0.56/1.80 (assume @p767 (forall @t75 (=> @t165 (not (and (tptp.in @t11 @t818) @t343))))) % 0.56/1.80 (assume @p768 (forall @t6 (=> @t93 (forall @t27 (=> @t178 (forall @t131 (=> @t385 (=> (and @t357 @t384) @t595)))))))) % 0.56/1.80 (assume @p769 (forall @t6 (=> @t214 (=> @t108 (and (= @t364 (tptp.relation_dom @t402)) (= @t210 (tptp.relation_rng @t402))))))) % 0.56/1.80 (assume @p770 (forall @t6 (=> @t574 (forall @t27 (=> (tptp.top_str @t11) (forall @t131 (=> @t244 (forall @t185 (=> (tptp.element @t170 (tptp.powerset @t14)) (and (=> (tptp.open_subset @t170 @t11) (= (tptp.interior @t11 @t170) @t170)) (=> (= @t260 @t69) @t299))))))))))) % 0.56/1.80 (assume @p771 (forall @t6 (=> @t93 (=> (forall @t190 @t598) @t271)))) % 0.56/1.80 (assume @p772 (forall @t19 (=> @t573 (=> (and @t124 (tptp.in @t1 @t266)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t827 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t827 @t11) @t1))))))) % 0.56/1.80 (assume @p773 (forall @t6 (=> @t258 (forall @t27 (=> @t101 (forall @t131 (=> @t150 (=> (and @t367 @t290) (tptp.point_neighbourhood @t11 @t1 @t69))))))))) % 0.56/1.80 (assume @p774 (forall @t75 (not (and @t22 @t823 @t139)))) % 0.56/1.80 (assume @p775 (forall @t19 (=> @t57 (= @t606 (not (= @t11 @t1)))))) % 0.56/1.80 (assume @p776 (forall @t6 (=> @t207 (forall @t27 (=> @t289 (not (and @t337 @t272))))))) % 0.56/1.80 (assume @p777 (forall @t6 (=> @t93 (= @t326 (tptp.is_well_founded_in @t1 @t217))))) % 0.56/1.80 (assume @p778 (forall @t6 (tptp.antisymmetric @t306))) % 0.56/1.80 (assume @p779 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.56/1.80 (assume @p780 (forall @t19 (not (and @t180 @t23)))) % 0.56/1.80 (assume @p781 (forall @t6 (=> @t5 (forall @t27 (=> @t146 (forall @t131 (=> @t150 (forall @t185 (=> @t184 (forall @t202 (=> @t201 (forall @t227 (=> @t379 (=> (and @t262 @t709 @t828) @t309)))))))))))))) % 0.56/1.80 (assume @p782 (forall @t6 (=> @t5 (forall @t27 (=> (and @t144 @t146) (forall @t131 (=> @t150 (forall @t185 (=> @t184 (forall @t202 (=> @t201 (forall @t227 (=> @t379 (=> (and @t262 @t709 @t309 (tptp.in @t192 @t14) (tptp.in @t222 @t14)) @t828)))))))))))))) % 0.56/1.80 (assume @p783 (forall @t6 (=> @t214 (=> @t108 (tptp.one_to_one @t402))))) % 0.56/1.80 (assume @p784 (forall @t75 (=> (and @t180 @t819) (tptp.disjoint @t1 @t69)))) % 0.56/1.80 (assume @p785 (forall @t6 (=> @t93 (=> (or @t830 @t829) @t271)))) % 0.56/1.80 (assume @p786 (forall @t6 (=> @t93 (= @t830 @t829)))) % 0.56/1.80 (assume @p787 (forall @t19 (= (= (tptp.set_difference @t1 @t599) @t1) @t21))) % 0.56/1.80 (assume @p788 (forall @t19 (=> @t573 (forall @t131 (=> @t385 (= (= @t11 @t603) (and (= @t265 (tptp.set_intersection2 @t359 @t1)) (forall @t185 (=> (tptp.in @t170 @t265) (= (tptp.apply @t11 @t170) @t383)))))))))) % 0.56/1.80 (assume @p789 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t283))) % 0.56/1.80 (assume @p790 @t831) % 0.56/1.80 (assume @p791 (forall @t264 (=> @t792 (=> @t172 (or @t272 (tptp.in @t791 @t767)))))) % 0.56/1.80 (assume @p792 (forall @t6 (=> @t64 (tptp.well_founded_relation @t306)))) % 0.56/1.80 (assume @p793 (forall @t6 (=> @t5 (forall @t27 (=> @t151 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 0.56/1.80 (assume @p794 (forall @t6 (=> @t258 (forall @t27 (=> @t101 (forall @t131 (=> @t150 (= @t822 (forall @t185 (=> @t404 (not (tptp.disjoint @t170 @t11)))))))))))) % 0.56/1.80 (assume @p795 (forall @t19 (=> (tptp.subset @t283 @t599) @t181))) % 0.56/1.80 (assume @p796 (forall @t75 (=> @t385 (=> @t604 @t832)))) % 0.56/1.80 (assume @p797 (forall @t6 (and (= (tptp.relation_dom @t176) @t1) (= (tptp.relation_rng @t176) @t1)))) % 0.56/1.80 (assume @p798 (forall @t75 (=> @t385 (=> @t20 @t832)))) % 0.56/1.80 (assume @p799 (forall @t264 (=> @t677 (= (tptp.in @t369 (tptp.relation_composition (tptp.identity_relation @t69) @t170)) (and @t601 (tptp.in @t369 @t170)))))) % 0.56/1.80 (assume @p800 (forall @t19 (not (and @t22 @t132)))) % 0.56/1.80 (assume @p801 (forall @t6 (=> @t318 (forall @t27 (=> @t151 (forall @t131 (=> @t150 (= @t615 (tptp.related_reflexive @t317 @t339 (tptp.cast_to_el_of_LattPOSet @t1 @t69)))))))))) % 0.56/1.80 (assume @p802 (forall @t19 (and (= (tptp.pair_first @t369) @t1) (= (tptp.pair_second @t369) @t11)))) % 0.56/1.80 (assume @p803 (forall @t19 (not (and @t22 (forall @t131 (not (and @t290 (forall @t185 (not (and @t195 @t211)))))))))) % 0.56/1.80 (assume @p804 (forall @t6 (=> @t64 (tptp.well_ordering @t306)))) % 0.56/1.80 (assume @p805 (forall @t19 (tptp.subset @t1 @t155))) % 0.56/1.80 (assume @p806 (forall @t19 (= @t386 (= @t362 @t1)))) % 0.56/1.80 (assume @p807 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_dom @t760)) (and @t22 @t785))))) % 0.56/1.80 (assume @p808 (forall @t19 (=> @t178 (tptp.subset @t774 @t11)))) % 0.56/1.80 (assume @p809 (forall @t19 (not (and @t54 @t399 @t132)))) % 0.56/1.80 (assume @p810 (forall @t75 (=> @t385 (= @t786 (and @t785 (= @t11 @t788)))))) % 0.56/1.80 (assume @p811 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t175 (=> @t304 (and (=> @t204 (tptp.is_eventually_in @t1 @t11 @t170)) (=> @t219 @t403))))))))) % 0.56/1.80 (assume @p812 @t838) % 0.56/1.80 (assume @p813 (forall @t6 (=> @t93 (= (tptp.well_orders @t1 @t217) @t357)))) % 0.56/1.80 (assume @p814 (forall @t75 (=> (and @t180 @t335) (tptp.subset (tptp.set_union2 @t1 @t69) @t11)))) % 0.56/1.80 (assume @p815 (forall @t75 (=> @t839 @t181))) % 0.56/1.80 (assume @p816 (forall @t19 (=> @t178 (= (tptp.relation_dom @t774) @t764)))) % 0.56/1.80 (assume @p817 (forall @t6 (=> @t207 (forall @t27 (=> @t151 (= (tptp.apply_as_element @t3 @t3 @t191 @t11) @t11)))))) % 0.56/1.80 (assume @p818 (forall @t19 (=> @t178 (= @t774 (tptp.relation_composition @t176 @t11))))) % 0.56/1.80 (assume @p819 (forall @t19 (=> @t178 (tptp.subset (tptp.relation_rng @t774) @t266)))) % 0.56/1.80 (assume @p820 (forall @t6 (= (tptp.union @t56) @t1))) % 0.56/1.80 (assume @p821 (forall @t264 (=> @t792 (=> @t673 (or (and @t272 @t295) (and @t229 (tptp.quasi_total @t170 @t1 @t69) (tptp.relation_of2_as_subset @t170 @t1 @t69))))))) % 0.56/1.80 (assume @p822 (forall @t6 (exists @t27 (and @t22 @t758 (forall @t131 (not (and @t290 (forall @t185 (not (and @t195 (forall @t202 (=> (tptp.subset @t192 @t69) @t263)))))))) @t757)))) % 0.56/1.80 (assume @p823 (forall @t75 (=> @t839 @t280))) % 0.56/1.80 (step @p824 :rule aci_norm :args ((= @t851 @t849))) % 0.56/1.80 (step @p825 :rule cong :premises (@p824) :args (@t853)) % 0.56/1.80 (step @p826 :rule quant-merge-prenex :args ((= (forall @t6 @t855) @t853))) % 0.56/1.80 (step @p827 :rule alpha_equiv :args (@t856 (@list @t842 @t840) (@list @t11 @t857))) % 0.56/1.80 (step @p828 :rule refl :args (@t54)) % 0.56/1.80 (step @p829 :rule nary_cong :premises (@p828 @p827) :args (@t858)) % 0.56/1.80 (step @p830 :rule quant-miniscope-or :args ((= @t855 @t858))) % 0.56/1.80 (step @p831 :rule trans :premises (@p830 @p829)) % 0.56/1.80 (step @p832 :rule symm :premises (@p831)) % 0.56/1.80 (step @p833 :rule cong :premises (@p832) :args ((forall @t6 (or @t54 @t867)))) % 0.56/1.80 (step @p834 :rule trans :premises (@p833 @p826)) % 0.56/1.80 (step @p835 :rule trans :premises (@p834 @p825)) % 0.56/1.80 (step @p836 :rule refl :args (@t867)) % 0.56/1.80 (step @p837 :rule bool-double-not-elim :args (@t54)) % 0.56/1.80 (step @p838 :rule nary_cong :premises (@p837 @p836) :args ((or (not @t141) @t867))) % 0.56/1.80 (step @p839 :rule bool-impl-elim :args (@t141 @t867)) % 0.56/1.80 (step @p840 :rule trans :premises (@p839 @p838)) % 0.56/1.80 (step @p841 :rule cong :premises (@p840) :args ((forall @t6 (=> @t141 @t867)))) % 0.56/1.80 (step @p842 :rule trans :premises (@p841 @p835)) % 0.56/1.80 (step @p843 :rule aci_norm :args ((= @t869 @t865))) % 0.56/1.80 (step @p844 :rule cong :premises (@p843) :args (@t870)) % 0.56/1.80 (step @p845 :rule quant-merge-prenex :args ((= (forall @t27 @t872) @t870))) % 0.56/1.80 (step @p846 :rule alpha_equiv :args (@t873 (@list @t857) (@list @t69))) % 0.56/1.80 (step @p847 :rule refl :args (@t861)) % 0.56/1.80 (step @p848 :rule refl :args (@t862)) % 0.56/1.80 (step @p849 :rule refl :args (@t863)) % 0.56/1.80 (step @p850 :rule refl :args (@t864)) % 0.56/1.80 (step @p851 :rule refl :args (@t132)) % 0.56/1.80 (step @p852 :rule nary_cong :premises (@p851 @p850 @p849 @p848 @p847 @p846) :args (@t874)) % 0.56/1.80 (step @p853 :rule quant-miniscope-or :args ((= @t872 @t874))) % 0.56/1.80 (step @p854 :rule trans :premises (@p853 @p852)) % 0.56/1.80 (step @p855 :rule symm :premises (@p854)) % 0.56/1.80 (step @p856 :rule cong :premises (@p855) :args ((forall @t27 @t876))) % 0.56/1.80 (step @p857 :rule trans :premises (@p856 @p845)) % 0.56/1.80 (step @p858 :rule trans :premises (@p857 @p844)) % 0.56/1.80 (step @p859 :rule aci_norm :args ((= (or (or @t132 @t864 @t863 @t862 @t861) @t875) @t876))) % 0.56/1.80 (step @p860 :rule refl :args (@t875)) % 0.56/1.80 (step @p861 :rule bool-double-not-elim :args (@t132)) % 0.56/1.80 (step @p862 :rule nary_cong :premises (@p861 @p850 @p849 @p848 @p847) :args (@t878)) % 0.56/1.80 (step @p863 :rule aci_norm :args ((= (or @t877 (or @t864 (or @t863 (or @t862 @t861)))) @t878))) % 0.56/1.80 (step @p864 :rule trans :premises (@p863 @p862)) % 0.56/1.80 (step @p865 :rule bool-and-de-morgan :args (@t802 @t754 true)) % 0.56/1.80 (step @p866 :rule nary_cong :premises (@p849 @p865) :args ((or @t863 (not (and @t802 @t754))))) % 0.56/1.80 (step @p867 :rule bool-and-de-morgan :args (@t751 @t802 (and @t754))) % 0.56/1.80 (step @p868 :rule trans :premises (@p867 @p866)) % 0.56/1.80 (step @p869 :rule nary_cong :premises (@p850 @p868) :args ((or @t864 (not (and @t751 @t802 @t754))))) % 0.56/1.80 (step @p870 :rule bool-and-de-morgan :args (@t803 @t751 (and @t802 @t754))) % 0.56/1.80 (step @p871 :rule trans :premises (@p870 @p869)) % 0.56/1.80 (step @p872 :rule refl :args (@t877)) % 0.56/1.80 (step @p873 :rule nary_cong :premises (@p872 @p871) :args ((or @t877 (not (and @t803 @t751 @t802 @t754))))) % 0.56/1.80 (step @p874 :rule bool-and-de-morgan :args (@t133 @t803 (and @t751 @t802 @t754))) % 0.56/1.80 (step @p875 :rule trans :premises (@p874 @p873)) % 0.56/1.80 (step @p876 :rule trans :premises (@p875 @p864)) % 0.56/1.80 (step @p877 :rule nary_cong :premises (@p876 @p860) :args ((or (not @t804) @t875))) % 0.56/1.80 (step @p878 :rule trans :premises (@p877 @p859)) % 0.56/1.80 (step @p879 :rule bool-impl-elim :args (@t804 @t875)) % 0.56/1.80 (step @p880 :rule trans :premises (@p879 @p878)) % 0.56/1.80 (step @p881 :rule cong :premises (@p880) :args ((forall @t27 (=> @t804 @t875)))) % 0.56/1.80 (step @p882 :rule trans :premises (@p881 @p858)) % 0.56/1.80 (step @p883 :rule bool-and-de-morgan :args (@t290 @t139 true)) % 0.56/1.80 (step @p884 :rule cong :premises (@p883) :args (@t801)) % 0.56/1.80 (step @p885 :rule refl :args (@t804)) % 0.56/1.80 (step @p886 :rule cong :premises (@p885 @p884) :args (@t805)) % 0.56/1.80 (step @p887 :rule cong :premises (@p886) :args (@t806)) % 0.56/1.80 (step @p888 :rule trans :premises (@p887 @p882)) % 0.56/1.80 (step @p889 :rule refl :args (@t141)) % 0.56/1.80 (step @p890 :rule cong :premises (@p889 @p888) :args (@t807)) % 0.56/1.80 (step @p891 :rule cong :premises (@p890) :args (@t808)) % 0.56/1.80 (step @p892 :rule trans :premises (@p891 @p842)) % 0.56/1.80 (step @p893 :rule cong :premises (@p892) :args (@t809)) % 0.56/1.80 (step @p894 :rule eq_resolve :premises (@p699 @p893)) % 0.56/1.80 (step @p895 :rule skolemize :premises (@p894)) % 0.56/1.80 (step @p896 :rule bool-double-not-elim :args (@t882)) % 0.56/1.80 (step @p897 :rule refl :args (@t898)) % 0.56/1.80 (step @p898 :rule nary_cong :premises (@p897 @p896) :args ((or @t898 (not @t885)))) % 0.56/1.80 (step @p899 :rule cnf_or_neg :args (@t898 6)) % 0.56/1.80 (step @p900 :rule eq_resolve :premises (@p899 @p898)) % 0.56/1.80 (step @p901 :rule reordering :premises (@p900) :args ((or @t882 @t898))) % 0.56/1.80 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% 0.56/1.80 (step @p1028 :rule and_elim :premises (@p1019) :args (0)) % 0.56/1.80 (step @p1029 :rule instantiate :premises (@p1028) :args (@t901)) % 0.56/1.80 (step @p1030 :rule alpha_equiv :args (@t950 @t935 (@list (@var "BOUND_VARIABLE_17736" $$unsorted)))) % 0.56/1.80 (step @p1031 :rule alpha_equiv :args (@t947 @t935 (@list (@var "BOUND_VARIABLE_17730" $$unsorted)))) % 0.56/1.80 (step @p1032 :rule nary_cong :premises (@p1031 @p1030) :args (@t951)) % 0.56/1.80 (step @p1033 :rule quant-miniscope-and :args ((= @t453 @t951))) % 0.56/1.80 (step @p1034 :rule trans :premises (@p1033 @p1032)) % 0.56/1.80 (step @p1035 :rule eq_resolve :premises (@p255 @p1034)) % 0.56/1.80 (step @p1036 :rule and_elim :premises (@p1035) :args (1)) % 0.56/1.80 (step @p1037 :rule instantiate :premises (@p1036) :args (@t901)) % 0.56/1.80 (step @p1038 :rule bool-double-not-elim :args (@t889)) % 0.56/1.80 (step @p1039 :rule nary_cong :premises (@p897 @p1038) :args ((or @t898 (not @t890)))) % 0.56/1.80 (step @p1040 :rule cnf_or_neg :args (@t898 5)) % 0.56/1.80 (step @p1041 :rule eq_resolve :premises (@p1040 @p1039)) % 0.56/1.80 (step @p1042 :rule reordering :premises (@p1041) :args ((or @t889 @t898))) % 0.56/1.80 (step @p1043 :rule chain_m_resolution :premises (@p1042 @p895) :args (@t889 @t899 @t900)) % 0.56/1.80 (step @p1044 :rule bool-double-not-elim :args (@t893)) % 0.56/1.80 (step @p1045 :rule nary_cong :premises (@p897 @p1044) :args ((or @t898 (not @t894)))) % 0.56/1.80 (step @p1046 :rule cnf_or_neg :args (@t898 3)) % 0.56/1.80 (step @p1047 :rule eq_resolve :premises (@p1046 @p1045)) % 0.56/1.80 (step @p1048 :rule reordering :premises (@p1047) :args ((or @t893 @t898))) % 0.56/1.80 (step @p1049 :rule chain_m_resolution :premises (@p1048 @p895) :args (@t893 @t899 @t900)) % 0.56/1.80 (step @p1050 :rule bool-double-not-elim :args (@t895)) % 0.56/1.80 (step @p1051 :rule nary_cong :premises (@p897 @p1050) :args ((or @t898 (not @t896)))) % 0.56/1.80 (step @p1052 :rule cnf_or_neg :args (@t898 2)) % 0.56/1.80 (step @p1053 :rule eq_resolve :premises (@p1052 @p1051)) % 0.56/1.80 (step @p1054 :rule reordering :premises (@p1053) :args ((or @t895 @t898))) % 0.56/1.80 (step @p1055 :rule chain_m_resolution :premises (@p1054 @p895) :args (@t895 @t899 @t900)) % 0.56/1.80 (step @p1056 :rule cnf_or_neg :args (@t898 1)) % 0.56/1.80 (step @p1057 :rule chain_m_resolution :premises (@p1056 @p895) :args ((not @t897) @t899 @t900)) % 0.56/1.80 (step @p1058 :rule cnf_or_pos :args (@t967)) % 0.56/1.80 (step @p1059 :rule reordering :premises (@p1058) :args ((or @t897 @t896 @t894 @t890 @t957 @t966 @t965 @t963 @t961 @t959 @t955 (not @t967)))) % 0.56/1.80 (step @p1060 :rule chain_m_resolution :premises (@p1059 @p1057 @p1055 @p1049 @p1043 @p1037 @p1029 @p1027 @p1025 @p1023 @p1021 @p1001) :args (@t955 (@list true false false false false true false false false false false) (@list @t897 @t895 @t893 @t889 @t956 @t966 @t964 @t962 @t960 @t958 @t967))) % 0.56/1.80 (step @p1061 :rule bool-double-not-elim :args (@t891)) % 0.56/1.80 (step @p1062 :rule nary_cong :premises (@p897 @p1061) :args ((or @t898 (not @t892)))) % 0.56/1.80 (step @p1063 :rule cnf_or_neg :args (@t898 4)) % 0.56/1.80 (step @p1064 :rule eq_resolve :premises (@p1063 @p1062)) % 0.56/1.80 (step @p1065 :rule reordering :premises (@p1064) :args ((or @t891 @t898))) % 0.56/1.80 (step @p1066 :rule chain_m_resolution :premises (@p1065 @p895) :args (@t891 @t899 @t900)) % 0.56/1.80 (step @p1067 :rule cnf_equiv_pos1 :args (@t955)) % 0.56/1.80 (step @p1068 :rule reordering :premises (@p1067) :args ((or @t892 @t954 (not @t955)))) % 0.56/1.80 (step @p1069 :rule chain_m_resolution :premises (@p1068 @p1066 @p1060) :args (@t954 @t906 (@list @t891 @t955))) % 0.56/1.80 (assume-push @p1091 @t882) % 0.56/1.80 (assume-push @p1092 @t968) % 0.56/1.80 (assume-push @p1093 @t904) % 0.56/1.80 (step @p1073 :rule true_intro :premises (@p902)) % 0.56/1.80 (step @p1074 :rule refl :args (@t880)) % 0.56/1.80 (step @p1075 :rule cong :premises (@p930 @p1074) :args ((tptp.in tptp.empty_set @t880))) % 0.56/1.80 (step @p1076 :rule symm :premises (@p906)) % 0.56/1.80 (step @p1077 :rule cong :premises (@p1076 @p1074) :args (@t953)) % 0.56/1.80 (step @p1078 :rule trans :premises (@p1077 @p1075 @p1073)) % 0.56/1.80 (step @p1079 :rule true_elim :premises (@p1078)) % 0.56/1.80 (step-pop @p1094 :rule scope :premises (@p1079)) % 0.56/1.80 (step-pop @p1095 :rule scope :premises (@p1094)) % 0.56/1.80 (step-pop @p1096 :rule scope :premises (@p1095)) % 0.56/1.80 (step @p1080 :rule process_scope :premises (@p1096) :args (@t953)) % 0.56/1.80 (step @p1084 :rule implies_elim :premises (@p1080)) % 0.56/1.80 (step @p1085 :rule cnf_and_neg :args (@t969)) % 0.56/1.80 (step @p1086 :rule resolution :premises (@p1085 @p1084) :args (true @t969)) % 0.56/1.80 (step @p1087 :rule reordering :premises (@p1086) :args ((or @t885 @t953 (not @t968) (not @t904)))) % 0.56/1.80 (step @p1088 false :rule chain_m_resolution :premises (@p1087 @p1069 @p930 @p906 @p902) :args (false (@list true false false false) (@list @t953 @t904 @t968 @t882))) % 0.56/1.80 ) % 0.56/1.80 % SZS output end Proof % 0.56/1.80 % cvc5 exiting %------------------------------------------------------------------------------