%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU386+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 : n003.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 41.52s 41.71s % Output : Proof 41.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU386+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:06:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.42/0.70 %----Proving TF0_NAR, FOF, or CNF % 41.52/41.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 41.52/41.71 --- Run --no-e-matching --full-saturate-quant at 6... % 41.52/41.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 41.52/41.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 41.52/41.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 41.52/41.71 % SZS status Theorem % 41.52/41.71 % SZS output start Proof % 41.52/41.71 ( % 41.52/41.71 (declare-sort $$unsorted 0) % 41.52/41.71 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.connected (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.preimage_subnetstr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.function_invverse_img_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.function_of_composition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.function (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.top_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.empty_set $$unsorted) % 41.52/41.71 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.apply_on_set_and_struct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.omega $$unsorted) % 41.52/41.71 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.natural (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.finite (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.transitive (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.lattice (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.apply_on_set_and_struct2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.centered (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.a_3_0_waybel_9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.empty (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.is_a_cluster_point_of_netstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.71 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 41.52/41.71 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.52/41.71 (define @t1 () (@var "A" $$unsorted)) % 41.52/41.71 (define @t2 () (tptp.the_InternalRel @t1)) % 41.52/41.71 (define @t3 () (tptp.the_carrier @t1)) % 41.52/41.71 (define @t4 () (tptp.strict_rel_str @t1)) % 41.52/41.71 (define @t5 () (tptp.rel_str @t1)) % 41.52/41.71 (define @t6 () (@list @t1)) % 41.52/41.71 (define @t7 () (tptp.the_L_meet @t1)) % 41.52/41.71 (define @t8 () (tptp.the_L_join @t1)) % 41.52/41.71 (define @t9 () (tptp.strict_latt_str @t1)) % 41.52/41.71 (define @t10 () (tptp.latt_str @t1)) % 41.52/41.71 (define @t11 () (@var "B" $$unsorted)) % 41.52/41.71 (define @t12 () (tptp.the_mapping @t1 @t11)) % 41.52/41.71 (define @t13 () (tptp.the_InternalRel @t11)) % 41.52/41.71 (define @t14 () (tptp.the_carrier @t11)) % 41.52/41.71 (define @t15 () (tptp.strict_net_str @t11 @t1)) % 41.52/41.71 (define @t16 () (tptp.net_str @t11 @t1)) % 41.52/41.71 (define @t17 () (tptp.one_sorted_str @t1)) % 41.52/41.71 (define @t18 () (and @t17 @t16)) % 41.52/41.71 (define @t19 () (@list @t1 @t11)) % 41.52/41.71 (define @t20 () (tptp.in @t11 @t1)) % 41.52/41.71 (define @t21 () (not @t20)) % 41.52/41.71 (define @t22 () (tptp.in @t1 @t11)) % 41.52/41.71 (define @t23 () (tptp.proper_subset @t11 @t1)) % 41.52/41.71 (define @t24 () (tptp.proper_subset @t1 @t11)) % 41.52/41.71 (define @t25 () (tptp.v1_xcmplx_0 @t11)) % 41.52/41.71 (define @t26 () (tptp.element @t11 @t1)) % 41.52/41.71 (define @t27 () (@list @t11)) % 41.52/41.71 (define @t28 () (tptp.v1_membered @t1)) % 41.52/41.71 (define @t29 () (tptp.join_complete_relstr @t1)) % 41.52/41.71 (define @t30 () (tptp.up_complete_relstr @t1)) % 41.52/41.71 (define @t31 () (tptp.reflexive_relstr @t1)) % 41.52/41.71 (define @t32 () (tptp.empty_carrier @t1)) % 41.52/41.71 (define @t33 () (not @t32)) % 41.52/41.71 (define @t34 () (tptp.complete_relstr @t1)) % 41.52/41.71 (define @t35 () (tptp.heyting_relstr @t1)) % 41.52/41.71 (define @t36 () (tptp.distributive_relstr @t1)) % 41.52/41.71 (define @t37 () (tptp.upper_bounded_relstr @t1)) % 41.52/41.71 (define @t38 () (tptp.with_infima_relstr @t1)) % 41.52/41.71 (define @t39 () (tptp.with_suprema_relstr @t1)) % 41.52/41.71 (define @t40 () (tptp.antisymmetric_relstr @t1)) % 41.52/41.71 (define @t41 () (tptp.transitive_relstr @t1)) % 41.52/41.71 (define @t42 () (tptp.boolean_relstr @t1)) % 41.52/41.71 (define @t43 () (and @t33 @t42)) % 41.52/41.71 (define @t44 () (tptp.v1_xreal_0 @t11)) % 41.52/41.71 (define @t45 () (tptp.v2_membered @t1)) % 41.52/41.71 (define @t46 () (tptp.lower_bounded_relstr @t1)) % 41.52/41.71 (define @t47 () (tptp.v1_rat_1 @t11)) % 41.52/41.71 (define @t48 () (tptp.v3_membered @t1)) % 41.52/41.71 (define @t49 () (tptp.bounded_relstr @t1)) % 41.52/41.71 (define @t50 () (tptp.v1_int_1 @t11)) % 41.52/41.71 (define @t51 () (tptp.v4_membered @t1)) % 41.52/41.71 (define @t52 () (tptp.natural @t11)) % 41.52/41.71 (define @t53 () (tptp.v5_membered @t1)) % 41.52/41.71 (define @t54 () (tptp.empty @t1)) % 41.52/41.71 (define @t55 () (tptp.v1_membered @t11)) % 41.52/41.71 (define @t56 () (tptp.powerset @t1)) % 41.52/41.71 (define @t57 () (tptp.element @t11 @t56)) % 41.52/41.71 (define @t58 () (tptp.v2_membered @t11)) % 41.52/41.71 (define @t59 () (tptp.v3_membered @t11)) % 41.52/41.71 (define @t60 () (tptp.v4_membered @t11)) % 41.52/41.71 (define @t61 () (tptp.ordinal @t11)) % 41.52/41.71 (define @t62 () (tptp.epsilon_connected @t11)) % 41.52/41.71 (define @t63 () (tptp.epsilon_transitive @t11)) % 41.52/41.71 (define @t64 () (tptp.ordinal @t1)) % 41.52/41.71 (define @t65 () (tptp.finite @t1)) % 41.52/41.71 (define @t66 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 41.52/41.71 (define @t67 () (tptp.preboolean @t1)) % 41.52/41.71 (define @t68 () (tptp.function @t1)) % 41.52/41.71 (define @t69 () (@var "C" $$unsorted)) % 41.52/41.71 (define @t70 () (tptp.quasi_total @t69 @t1 @t11)) % 41.52/41.71 (define @t71 () (tptp.function @t69)) % 41.52/41.71 (define @t72 () (and @t71 @t70)) % 41.52/41.71 (define @t73 () (tptp.v1_partfun1 @t69 @t1 @t11)) % 41.52/41.71 (define @t74 () (tptp.relation_of2 @t69 @t1 @t11)) % 41.52/41.71 (define @t75 () (@list @t1 @t11 @t69)) % 41.52/41.71 (define @t76 () (tptp.bounded_lattstr @t1)) % 41.52/41.71 (define @t77 () (tptp.upper_bounded_semilattstr @t1)) % 41.52/41.71 (define @t78 () (tptp.lower_bounded_semilattstr @t1)) % 41.52/41.71 (define @t79 () (tptp.lattice @t1)) % 41.52/41.71 (define @t80 () (tptp.join_absorbing @t1)) % 41.52/41.71 (define @t81 () (tptp.meet_absorbing @t1)) % 41.52/41.71 (define @t82 () (tptp.meet_associative @t1)) % 41.52/41.71 (define @t83 () (tptp.meet_commutative @t1)) % 41.52/41.71 (define @t84 () (tptp.join_associative @t1)) % 41.52/41.71 (define @t85 () (tptp.join_commutative @t1)) % 41.52/41.71 (define @t86 () (tptp.complete_latt_str @t1)) % 41.52/41.71 (define @t87 () (and @t33 @t85 @t84 @t83 @t82 @t81 @t80)) % 41.52/41.71 (define @t88 () (and @t33 @t79)) % 41.52/41.71 (define @t89 () (tptp.epsilon_connected @t1)) % 41.52/41.71 (define @t90 () (tptp.epsilon_transitive @t1)) % 41.52/41.71 (define @t91 () (and @t90 @t89)) % 41.52/41.71 (define @t92 () (tptp.reflexive @t1)) % 41.52/41.71 (define @t93 () (tptp.relation @t1)) % 41.52/41.71 (define @t94 () (tptp.transitive @t1)) % 41.52/41.71 (define @t95 () (tptp.relation @t69)) % 41.52/41.71 (define @t96 () (tptp.cartesian_product2 @t1 @t11)) % 41.52/41.71 (define @t97 () (tptp.element @t69 (tptp.powerset @t96))) % 41.52/41.71 (define @t98 () (tptp.filtered_subset @t11 @t1)) % 41.52/41.71 (define @t99 () (tptp.directed_subset @t11 @t1)) % 41.52/41.71 (define @t100 () (tptp.powerset @t3)) % 41.52/41.71 (define @t101 () (tptp.element @t11 @t100)) % 41.52/41.71 (define @t102 () (tptp.connected_relstr @t1)) % 41.52/41.71 (define @t103 () (and @t33 @t34)) % 41.52/41.71 (define @t104 () (tptp.v1_yellow_3 @t1)) % 41.52/41.71 (define @t105 () (tptp.natural @t1)) % 41.52/41.71 (define @t106 () (and @t90 @t89 @t64 @t105)) % 41.52/41.71 (define @t107 () (tptp.finite @t11)) % 41.52/41.71 (define @t108 () (tptp.one_to_one @t1)) % 41.52/41.71 (define @t109 () (and @t93 @t68 @t108)) % 41.52/41.71 (define @t110 () (and @t93 @t54 @t68)) % 41.52/41.71 (define @t111 () (tptp.one_to_one @t69)) % 41.52/41.71 (define @t112 () (and @t71 @t111 @t70 (tptp.onto @t69 @t1 @t11))) % 41.52/41.71 (define @t113 () (and @t71 @t70 (tptp.bijective @t69 @t1 @t11))) % 41.52/41.71 (define @t114 () (tptp.trivial_carrier @t1)) % 41.52/41.71 (define @t115 () (and @t33 @t31 @t114)) % 41.52/41.71 (define @t116 () (not @t104)) % 41.52/41.71 (define @t117 () (and @t33 @t76)) % 41.52/41.71 (define @t118 () (and @t33 @t78 @t77)) % 41.52/41.71 (define @t119 () (and @t90 @t89 @t64)) % 41.52/41.71 (define @t120 () (tptp.v2_waybel_3 @t1)) % 41.52/41.71 (define @t121 () (tptp.bijective @t11 @t1 @t1)) % 41.52/41.71 (define @t122 () (tptp.onto @t11 @t1 @t1)) % 41.52/41.71 (define @t123 () (tptp.quasi_total @t11 @t1 @t1)) % 41.52/41.71 (define @t124 () (tptp.one_to_one @t11)) % 41.52/41.71 (define @t125 () (tptp.function @t11)) % 41.52/41.71 (define @t126 () (tptp.reflexive @t11)) % 41.52/41.71 (define @t127 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 41.52/41.71 (define @t128 () (tptp.relation_of2 @t11 @t1 @t1)) % 41.52/41.71 (define @t129 () (tptp.v3_waybel_3 @t1)) % 41.52/41.71 (define @t130 () (and @t46 @t37)) % 41.52/41.71 (define @t131 () (@list @t69)) % 41.52/41.71 (define @t132 () (tptp.empty @t11)) % 41.52/41.71 (define @t133 () (not @t132)) % 41.52/41.71 (define @t134 () (tptp.complemented_lattstr @t1)) % 41.52/41.71 (define @t135 () (tptp.distributive_lattstr @t1)) % 41.52/41.71 (define @t136 () (tptp.boolean_lattstr @t1)) % 41.52/41.71 (define @t137 () (and @t33 @t136)) % 41.52/41.71 (define @t138 () (and @t33 @t35)) % 41.52/41.71 (define @t139 () (tptp.empty @t69)) % 41.52/41.71 (define @t140 () (not @t54)) % 41.52/41.71 (define @t141 () (and @t140 @t133)) % 41.52/41.71 (define @t142 () (tptp.modular_lattstr @t1)) % 41.52/41.71 (define @t143 () (tptp.full_subrelstr @t11 @t1)) % 41.52/41.71 (define @t144 () (tptp.transitive_relstr @t11)) % 41.52/41.71 (define @t145 () (tptp.subrelstr @t11 @t1)) % 41.52/41.71 (define @t146 () (and @t41 @t5)) % 41.52/41.71 (define @t147 () (tptp.complemented_relstr @t1)) % 41.52/41.71 (define @t148 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t69)) % 41.52/41.71 (define @t149 () (tptp.element @t69 @t3)) % 41.52/41.71 (define @t150 () (tptp.element @t11 @t3)) % 41.52/41.71 (define @t151 () (and @t33 @t17 @t150 @t149)) % 41.52/41.71 (define @t152 () (tptp.unordered_pair @t1 @t11)) % 41.52/41.71 (define @t153 () (tptp.set_union2 @t11 @t1)) % 41.52/41.71 (define @t154 () (tptp.set_union2 @t1 @t11)) % 41.52/41.71 (define @t155 () (tptp.join_commut @t1 @t11 @t69)) % 41.52/41.71 (define @t156 () (tptp.join_semilatt_str @t1)) % 41.52/41.71 (define @t157 () (and @t33 @t85 @t156 @t150 @t149)) % 41.52/41.71 (define @t158 () (tptp.set_intersection2 @t11 @t1)) % 41.52/41.71 (define @t159 () (tptp.set_intersection2 @t1 @t11)) % 41.52/41.71 (define @t160 () (tptp.meet_commut @t1 @t11 @t69)) % 41.52/41.71 (define @t161 () (tptp.meet_semilatt_str @t1)) % 41.52/41.71 (define @t162 () (and @t33 @t83 @t161 @t150 @t149)) % 41.52/41.71 (define @t163 () (tptp.subset_union2 @t1 @t11 @t69)) % 41.52/41.71 (define @t164 () (tptp.element @t69 @t56)) % 41.52/41.71 (define @t165 () (and @t57 @t164)) % 41.52/41.71 (define @t166 () (tptp.subset_intersection2 @t1 @t11 @t69)) % 41.52/41.71 (define @t167 () (tptp.ordinal_subset @t1 @t11)) % 41.52/41.71 (define @t168 () (and @t64 @t61)) % 41.52/41.71 (define @t169 () (@var "D" $$unsorted)) % 41.52/41.71 (define @t170 () (= @t69 @t169)) % 41.52/41.71 (define @t171 () (tptp.in @t69 @t1)) % 41.52/41.71 (define @t172 () (tptp.ordered_pair @t69 @t169)) % 41.52/41.71 (define @t173 () (tptp.in @t172 @t11)) % 41.52/41.71 (define @t174 () (@list @t69 @t169)) % 41.52/41.71 (define @t175 () (tptp.identity_relation @t1)) % 41.52/41.71 (define @t176 () (= @t11 @t175)) % 41.52/41.71 (define @t177 () (tptp.relation @t11)) % 41.52/41.71 (define @t178 () (tptp.subset @t11 @t1)) % 41.52/41.71 (define @t179 () (tptp.subset @t1 @t11)) % 41.52/41.71 (define @t180 () (= @t1 @t11)) % 41.52/41.71 (define @t181 () (tptp.related @t1 @t169 @t69)) % 41.52/41.71 (define @t182 () (tptp.relstr_element_smaller @t1 @t11 @t169)) % 41.52/41.71 (define @t183 () (tptp.element @t169 @t3)) % 41.52/41.71 (define @t184 () (@list @t169)) % 41.52/41.71 (define @t185 () (forall @t184 (=> @t183 (=> @t182 @t181)))) % 41.52/41.71 (define @t186 () (tptp.relstr_element_smaller @t1 @t11 @t69)) % 41.52/41.71 (define @t187 () (tptp.meet_on_relstr @t1 @t11)) % 41.52/41.71 (define @t188 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 41.52/41.71 (define @t189 () (@list @t11 @t69)) % 41.52/41.71 (define @t190 () (tptp.identity_on_carrier @t1)) % 41.52/41.71 (define @t191 () (@var "E" $$unsorted)) % 41.52/41.71 (define @t192 () (tptp.ordered_pair @t169 @t191)) % 41.52/41.71 (define @t193 () (tptp.in @t192 @t1)) % 41.52/41.71 (define @t194 () (tptp.in @t169 @t11)) % 41.52/41.71 (define @t195 () (tptp.in @t192 @t69)) % 41.52/41.71 (define @t196 () (@list @t169 @t191)) % 41.52/41.71 (define @t197 () (tptp.relation_dom_restriction @t1 @t11)) % 41.52/41.71 (define @t198 () (tptp.in (tptp.apply_netmap @t1 @t11 @t191) @t69)) % 41.52/41.71 (define @t199 () (tptp.related @t11 @t169 @t191)) % 41.52/41.71 (define @t200 () (tptp.element @t191 @t14)) % 41.52/41.71 (define @t201 () (@list @t191)) % 41.52/41.71 (define @t202 () (tptp.element @t169 @t14)) % 41.52/41.71 (define @t203 () (tptp.is_eventually_in @t1 @t11 @t69)) % 41.52/41.71 (define @t204 () (tptp.empty_carrier @t11)) % 41.52/41.71 (define @t205 () (not @t204)) % 41.52/41.71 (define @t206 () (and @t205 @t16)) % 41.52/41.71 (define @t207 () (and @t33 @t17)) % 41.52/41.71 (define @t208 () (tptp.bottom_of_relstr @t1)) % 41.52/41.71 (define @t209 () (tptp.in @t191 @t11)) % 41.52/41.71 (define @t210 () (tptp.relation_dom @t1)) % 41.52/41.71 (define @t211 () (tptp.in @t169 @t69)) % 41.52/41.71 (define @t212 () (tptp.relation_image @t1 @t11)) % 41.52/41.71 (define @t213 () (= @t69 @t212)) % 41.52/41.71 (define @t214 () (and @t93 @t68)) % 41.52/41.71 (define @t215 () (tptp.in @t191 @t1)) % 41.52/41.71 (define @t216 () (tptp.relation_rng_restriction @t1 @t11)) % 41.52/41.71 (define @t217 () (tptp.relation_field @t1)) % 41.52/41.71 (define @t218 () (tptp.antisymmetric @t1)) % 41.52/41.71 (define @t219 () (tptp.is_often_in @t1 @t11 @t69)) % 41.52/41.71 (define @t220 () (@var "G" $$unsorted)) % 41.52/41.71 (define @t221 () (tptp.the_carrier @t69)) % 41.52/41.71 (define @t222 () (@var "F" $$unsorted)) % 41.52/41.71 (define @t223 () (tptp.related @t69 @t222 @t220)) % 41.52/41.71 (define @t224 () (tptp.element @t220 @t221)) % 41.52/41.71 (define @t225 () (@list @t220)) % 41.52/41.71 (define @t226 () (tptp.element @t222 @t221)) % 41.52/41.71 (define @t227 () (@list @t222)) % 41.52/41.71 (define @t228 () (tptp.the_mapping @t1 @t69)) % 41.52/41.71 (define @t229 () (tptp.function @t169)) % 41.52/41.71 (define @t230 () (tptp.subnet @t69 @t1 @t11)) % 41.52/41.71 (define @t231 () (tptp.net_str @t69 @t1)) % 41.52/41.71 (define @t232 () (not (tptp.empty_carrier @t69))) % 41.52/41.71 (define @t233 () (and @t232 (tptp.transitive_relstr @t69) (tptp.directed_relstr @t69) @t231)) % 41.52/41.71 (define @t234 () (tptp.directed_relstr @t11)) % 41.52/41.71 (define @t235 () (and @t205 @t144 @t234 @t16)) % 41.52/41.71 (define @t236 () (tptp.apply @t1 @t169)) % 41.52/41.71 (define @t237 () (tptp.in @t169 @t210)) % 41.52/41.71 (define @t238 () (= @t69 (tptp.relation_inverse_image @t1 @t11))) % 41.52/41.71 (define @t239 () (tptp.meet @t1 @t11 @t69)) % 41.52/41.71 (define @t240 () (forall @t131 (=> @t149 (and (= @t239 @t11) (= (tptp.meet @t1 @t69 @t11) @t11))))) % 41.52/41.71 (define @t241 () (and @t33 @t161)) % 41.52/41.71 (define @t242 () (tptp.element @t191 @t100)) % 41.52/41.71 (define @t243 () (tptp.topstr_closure @t1 @t11)) % 41.52/41.71 (define @t244 () (tptp.element @t69 @t100)) % 41.52/41.71 (define @t245 () (tptp.top_str @t1)) % 41.52/41.71 (define @t246 () (tptp.ordered_pair @t191 @t169)) % 41.52/41.71 (define @t247 () (tptp.rel_str @t11)) % 41.52/41.71 (define @t248 () (tptp.the_carrier @t169)) % 41.52/41.71 (define @t249 () (tptp.preimage_subnetstr @t1 @t11 @t69)) % 41.52/41.71 (define @t250 () (= @t169 @t249)) % 41.52/41.71 (define @t251 () (tptp.strict_net_str @t169 @t1)) % 41.52/41.71 (define @t252 () (tptp.connected @t1)) % 41.52/41.71 (define @t253 () (tptp.latt_set_smaller @t1 @t11 @t69)) % 41.52/41.71 (define @t254 () (and @t33 @t10)) % 41.52/41.71 (define @t255 () (tptp.bottom_of_semilattstr @t1)) % 41.52/41.71 (define @t256 () (tptp.is_eventually_in @t1 @t11 @t191)) % 41.52/41.71 (define @t257 () (tptp.point_neighbourhood @t191 @t1 @t169)) % 41.52/41.71 (define @t258 () (forall @t201 (=> @t257 @t256))) % 41.52/41.71 (define @t259 () (= @t211 @t258)) % 41.52/41.71 (define @t260 () (=> @t183 @t259)) % 41.52/41.71 (define @t261 () (forall @t184 @t260)) % 41.52/41.71 (define @t262 () (tptp.lim_points_of_net @t1 @t11)) % 41.52/41.71 (define @t263 () (= @t69 @t262)) % 41.52/41.71 (define @t264 () (= @t263 @t261)) % 41.52/41.71 (define @t265 () (=> @t244 @t264)) % 41.52/41.71 (define @t266 () (forall @t131 @t265)) % 41.52/41.71 (define @t267 () (=> @t235 @t266)) % 41.52/41.71 (define @t268 () (forall @t27 @t267)) % 41.52/41.71 (define @t269 () (tptp.topological_space @t1)) % 41.52/41.71 (define @t270 () (and @t33 @t269 @t245)) % 41.52/41.71 (define @t271 () (=> @t270 @t268)) % 41.52/41.71 (define @t272 () (forall @t6 @t271)) % 41.52/41.71 (define @t273 () (tptp.ordered_pair @t11 @t69)) % 41.52/41.71 (define @t274 () (tptp.interior @t1 @t69)) % 41.52/41.71 (define @t275 () (tptp.point_neighbourhood @t69 @t1 @t11)) % 41.52/41.71 (define @t276 () (= @t191 @t69)) % 41.52/41.71 (define @t277 () (tptp.in @t191 @t169)) % 41.52/41.71 (define @t278 () (@list @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t279 () (tptp.relation_dom @t11)) % 41.52/41.71 (define @t280 () (tptp.relation_rng @t11)) % 41.52/41.71 (define @t281 () (tptp.in (tptp.ordered_pair @t11 @t169) @t1)) % 41.52/41.71 (define @t282 () (tptp.in @t273 @t1)) % 41.52/41.71 (define @t283 () (@list @t11 @t69 @t169)) % 41.52/41.71 (define @t284 () (= @t69 tptp.empty_set)) % 41.52/41.71 (define @t285 () (= @t1 tptp.empty_set)) % 41.52/41.71 (define @t286 () (= @t11 tptp.empty_set)) % 41.52/41.71 (define @t287 () (tptp.relation_dom_as_subset @t1 @t11 @t69)) % 41.52/41.71 (define @t288 () (tptp.relation_of2_as_subset @t69 @t1 @t11)) % 41.52/41.71 (define @t289 () (tptp.element @t169 @t56)) % 41.52/41.71 (define @t290 () (tptp.boole_lattice @t1)) % 41.52/41.71 (define @t291 () (tptp.latt_str @t11)) % 41.52/41.71 (define @t292 () (tptp.join @t1 @t11 @t69)) % 41.52/41.71 (define @t293 () (and @t33 @t156)) % 41.52/41.71 (define @t294 () (= @t11 @t69)) % 41.52/41.71 (define @t295 () (= @t1 @t172)) % 41.52/41.71 (define @t296 () (exists @t189 (= @t1 @t273))) % 41.52/41.71 (define @t297 () (tptp.singleton @t1)) % 41.52/41.71 (define @t298 () (tptp.succ @t1)) % 41.52/41.71 (define @t299 () (tptp.the_topology @t1)) % 41.52/41.71 (define @t300 () (tptp.in @t11 @t299)) % 41.52/41.71 (define @t301 () (tptp.union_of_subsets @t3 @t11)) % 41.52/41.71 (define @t302 () (tptp.powerset @t100)) % 41.52/41.71 (define @t303 () (tptp.element @t11 @t302)) % 41.52/41.71 (define @t304 () (tptp.in @t69 @t11)) % 41.52/41.71 (define @t305 () (tptp.is_reflexive_in @t1 @t11)) % 41.52/41.71 (define @t306 () (= @t11 (tptp.set_meet @t1))) % 41.52/41.71 (define @t307 () (tptp.in @t69 @t169)) % 41.52/41.71 (define @t308 () (tptp.in @t169 @t1)) % 41.52/41.71 (define @t309 () (not @t285)) % 41.52/41.71 (define @t310 () (tptp.empty @t3)) % 41.52/41.71 (define @t311 () (tptp.subset_complement @t3 @t11)) % 41.52/41.71 (define @t312 () (tptp.interior @t1 @t11)) % 41.52/41.71 (define @t313 () (tptp.open_subset @t69 @t1)) % 41.52/41.71 (define @t314 () (tptp.open_subsets @t11 @t1)) % 41.52/41.71 (define @t315 () (tptp.related @t1 @t169 @t191)) % 41.52/41.71 (define @t316 () (tptp.element @t191 @t3)) % 41.52/41.71 (define @t317 () (= @t169 @t11)) % 41.52/41.71 (define @t318 () (tptp.subset @t69 @t169)) % 41.52/41.71 (define @t319 () (tptp.relation_field @t11)) % 41.52/41.71 (define @t320 () (tptp.inclusion_relation @t1)) % 41.52/41.71 (define @t321 () (tptp.inclusion_order @t1)) % 41.52/41.71 (define @t322 () (tptp.incl_POSet @t1)) % 41.52/41.71 (define @t323 () (tptp.related @t1 @t69 @t169)) % 41.52/41.71 (define @t324 () (tptp.upper_relstr_subset @t11 @t1)) % 41.52/41.71 (define @t325 () (tptp.join_of_latt_set @t1 @t11)) % 41.52/41.71 (define @t326 () (and @t33 @t79 @t86 @t10)) % 41.52/41.71 (define @t327 () (tptp.meet_of_latt_set @t1 @t11)) % 41.52/41.71 (define @t328 () (tptp.set_meet @t11)) % 41.52/41.71 (define @t329 () (not @t286)) % 41.52/41.71 (define @t330 () (tptp.k2_lattice3 @t1)) % 41.52/41.71 (define @t331 () (tptp.poset_of_lattice @t1)) % 41.52/41.71 (define @t332 () (and @t33 @t79 @t10)) % 41.52/41.71 (define @t333 () (= @t11 @t169)) % 41.52/41.71 (define @t334 () (tptp.empty_carrier_subset @t1)) % 41.52/41.71 (define @t335 () (tptp.in @t172 @t1)) % 41.52/41.71 (define @t336 () (tptp.union @t1)) % 41.52/41.71 (define @t337 () (= @t11 @t336)) % 41.52/41.71 (define @t338 () (forall @t131 (=> @t244 (=> @t304 (tptp.closed_subset @t69 @t1))))) % 41.52/41.71 (define @t339 () (tptp.closed_subsets @t11 @t1)) % 41.52/41.71 (define @t340 () (tptp.well_founded_relation @t1)) % 41.52/41.71 (define @t341 () (tptp.related @t1 @t11 @t169)) % 41.52/41.71 (define @t342 () (tptp.related @t1 @t11 @t69)) % 41.52/41.71 (define @t343 () (forall @t27 (=> @t150 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (=> (and @t342 @t323) @t341)))))))) % 41.52/41.71 (define @t344 () (tptp.boole_POSet @t1)) % 41.52/41.71 (define @t345 () (tptp.ordered_pair @t191 @t222)) % 41.52/41.71 (define @t346 () (tptp.in @t222 @t11)) % 41.52/41.71 (define @t347 () (@list @t191 @t222)) % 41.52/41.71 (define @t348 () (tptp.finite @t69)) % 41.52/41.71 (define @t349 () (tptp.subset @t69 @t11)) % 41.52/41.71 (define @t350 () (tptp.element @t69 @t302)) % 41.52/41.71 (define @t351 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 41.52/41.71 (define @t352 () (tptp.compact_top_space @t1)) % 41.52/41.71 (define @t353 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 41.52/41.71 (define @t354 () (tptp.below @t1 @t11 @t69)) % 41.52/41.71 (define @t355 () (not @t304)) % 41.52/41.71 (define @t356 () (not @t294)) % 41.52/41.71 (define @t357 () (tptp.in @t11 @t69)) % 41.52/41.71 (define @t358 () (tptp.cast_as_carrier_subset @t1)) % 41.52/41.71 (define @t359 () (forall @t131 (=> @t171 @t304))) % 41.52/41.71 (define @t360 () (not @t284)) % 41.52/41.71 (define @t361 () (tptp.is_well_founded_in @t1 @t11)) % 41.52/41.71 (define @t362 () (tptp.apply @t1 @t11)) % 41.52/41.71 (define @t363 () (= @t69 @t362)) % 41.52/41.71 (define @t364 () (tptp.in @t11 @t210)) % 41.52/41.71 (define @t365 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 41.52/41.71 (define @t366 () (tptp.the_carrier @t331)) % 41.52/41.71 (define @t367 () (tptp.element @t11 @t366)) % 41.52/41.71 (define @t368 () (tptp.in (tptp.ordered_pair @t169 @t69) @t1)) % 41.52/41.71 (define @t369 () (tptp.is_antisymmetric_in @t1 @t11)) % 41.52/41.71 (define @t370 () (tptp.cast_to_subset @t1)) % 41.52/41.71 (define @t371 () (tptp.well_ordering @t1)) % 41.52/41.71 (define @t372 () (tptp.relation_rng @t69)) % 41.52/41.71 (define @t373 () (tptp.relation_dom @t69)) % 41.52/41.71 (define @t374 () (= @t373 @t1)) % 41.52/41.71 (define @t375 () (tptp.equipotent @t1 @t11)) % 41.52/41.71 (define @t376 () (tptp.set_difference @t1 @t11)) % 41.52/41.71 (define @t377 () (and @t237 (= @t69 @t236))) % 41.52/41.71 (define @t378 () (tptp.relation_rng @t1)) % 41.52/41.71 (define @t379 () (= @t11 @t378)) % 41.52/41.71 (define @t380 () (tptp.being_limit_ordinal @t1)) % 41.52/41.71 (define @t381 () (tptp.open_subset @t11 @t1)) % 41.52/41.71 (define @t382 () (tptp.subset_complement @t1 @t11)) % 41.52/41.71 (define @t383 () (tptp.ordered_pair @t1 @t11)) % 41.52/41.71 (define @t384 () (tptp.is_connected_in @t1 @t11)) % 41.52/41.71 (define @t385 () (tptp.is_transitive_in @t1 @t11)) % 41.52/41.71 (define @t386 () (tptp.subset_difference @t3 @t358 @t11)) % 41.52/41.71 (define @t387 () (tptp.closed_subset @t11 @t1)) % 41.52/41.71 (define @t388 () (tptp.cartesian_product2 @t11 @t11)) % 41.52/41.71 (define @t389 () (tptp.relation_restriction @t1 @t11)) % 41.52/41.71 (define @t390 () (tptp.relation_inverse @t1)) % 41.52/41.71 (define @t391 () (= @t222 @t191)) % 41.52/41.71 (define @t392 () (tptp.element @t222 @t14)) % 41.52/41.71 (define @t393 () (tptp.netstr_restr_to_element @t1 @t11 @t69)) % 41.52/41.71 (define @t394 () (tptp.element @t69 @t14)) % 41.52/41.71 (define @t395 () (tptp.apply @t69 @t191)) % 41.52/41.71 (define @t396 () (tptp.apply @t69 @t169)) % 41.52/41.71 (define @t397 () (tptp.relation_isomorphism @t1 @t11 @t69)) % 41.52/41.71 (define @t398 () (and @t95 @t71)) % 41.52/41.71 (define @t399 () (tptp.disjoint @t1 @t11)) % 41.52/41.71 (define @t400 () (= @t169 @t69)) % 41.52/41.71 (define @t401 () (tptp.relstr_set_smaller @t1 @t11 @t169)) % 41.52/41.71 (define @t402 () (forall @t184 (=> @t183 (=> @t401 @t323)))) % 41.52/41.71 (define @t403 () (tptp.relstr_set_smaller @t1 @t11 @t69)) % 41.52/41.71 (define @t404 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 41.52/41.71 (define @t405 () (tptp.relation_of_lattice @t1)) % 41.52/41.71 (define @t406 () (tptp.relation_composition @t1 @t11)) % 41.52/41.71 (define @t407 () (@list @t69 @t169 @t191)) % 41.52/41.71 (define @t408 () (tptp.complements_of_subsets @t1 @t11)) % 41.52/41.71 (define @t409 () (tptp.powerset @t56)) % 41.52/41.71 (define @t410 () (tptp.element @t11 @t409)) % 41.52/41.71 (define @t411 () (tptp.apply_netmap @t1 @t11 @t69)) % 41.52/41.71 (define @t412 () (not @t180)) % 41.52/41.71 (define @t413 () (tptp.subrelstr @t69 @t11)) % 41.52/41.71 (define @t414 () (tptp.subnetstr @t69 @t1 @t11)) % 41.52/41.71 (define @t415 () (tptp.function_inverse @t1)) % 41.52/41.71 (define @t416 () (tptp.is_often_in @t1 @t11 @t169)) % 41.52/41.71 (define @t417 () (tptp.point_neighbourhood @t169 @t1 @t69)) % 41.52/41.71 (define @t418 () (forall @t184 (=> @t417 @t416))) % 41.52/41.71 (define @t419 () (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t69)) % 41.52/41.71 (define @t420 () (= @t419 @t418)) % 41.52/41.71 (define @t421 () (=> @t149 @t420)) % 41.52/41.71 (define @t422 () (forall @t131 @t421)) % 41.52/41.71 (define @t423 () (=> @t206 @t422)) % 41.52/41.71 (define @t424 () (forall @t27 @t423)) % 41.52/41.71 (define @t425 () (=> @t270 @t424)) % 41.52/41.71 (define @t426 () (forall @t6 @t425)) % 41.52/41.71 (define @t427 () (tptp.join_on_relstr @t1 @t11)) % 41.52/41.71 (define @t428 () (tptp.full_subnetstr @t69 @t1 @t11)) % 41.52/41.71 (define @t429 () (tptp.rel_str_of @t1 @t11)) % 41.52/41.71 (define @t430 () (tptp.strict_rel_str @t429)) % 41.52/41.71 (define @t431 () (tptp.net_str_of @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t432 () (tptp.strict_net_str @t431 @t1)) % 41.52/41.71 (define @t433 () (tptp.relation_of2 @t169 @t11 @t3)) % 41.52/41.71 (define @t434 () (tptp.quasi_total @t169 @t11 @t3)) % 41.52/41.71 (define @t435 () (tptp.relation_of2 @t69 @t11 @t11)) % 41.52/41.71 (define @t436 () (and @t17 @t435 @t229 @t434 @t433)) % 41.52/41.71 (define @t437 () (tptp.latt_str_of @t1 @t11 @t69)) % 41.52/41.71 (define @t438 () (tptp.strict_latt_str @t437)) % 41.52/41.71 (define @t439 () (tptp.cartesian_product2 @t1 @t1)) % 41.52/41.71 (define @t440 () (tptp.relation_of2 @t69 @t439 @t1)) % 41.52/41.71 (define @t441 () (tptp.quasi_total @t69 @t439 @t1)) % 41.52/41.71 (define @t442 () (tptp.relation_of2 @t11 @t439 @t1)) % 41.52/41.71 (define @t443 () (tptp.quasi_total @t11 @t439 @t1)) % 41.52/41.71 (define @t444 () (and @t125 @t443 @t442 @t71 @t441 @t440)) % 41.52/41.71 (define @t445 () (tptp.k8_filter_1 @t1 @t11)) % 41.52/41.71 (define @t446 () (tptp.k10_filter_1 @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t447 () (tptp.lattice @t11)) % 41.52/41.71 (define @t448 () (and @t33 @t79 @t10 @t205 @t447 @t291 @t149 @t202)) % 41.52/41.71 (define @t449 () (tptp.element @t262 @t100)) % 41.52/41.71 (define @t450 () (and @t33 @t269 @t245 @t205 @t144 @t234 @t16)) % 41.52/41.71 (define @t451 () (forall @t19 (=> @t450 @t449))) % 41.52/41.71 (define @t452 () (tptp.ordered_pair_as_product_element @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t453 () (tptp.element @t69 @t1)) % 41.52/41.71 (define @t454 () (and @t140 @t133 @t453 (tptp.element @t169 @t11))) % 41.52/41.71 (define @t455 () (tptp.strict_latt_str @t290)) % 41.52/41.71 (define @t456 () (tptp.k1_pcomps_1 @t1)) % 41.52/41.71 (define @t457 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 41.52/41.71 (define @t458 () (and @t245 @t101)) % 41.52/41.71 (define @t459 () (tptp.apply_on_structs @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t460 () (tptp.relation_of2 @t69 @t3 @t14)) % 41.52/41.71 (define @t461 () (tptp.quasi_total @t69 @t3 @t14)) % 41.52/41.71 (define @t462 () (tptp.one_sorted_str @t11)) % 41.52/41.71 (define @t463 () (and @t33 @t17 @t205 @t462 @t71 @t461 @t460 @t183)) % 41.52/41.71 (define @t464 () (tptp.apply_binary_as_element @t1 @t11 @t69 @t169 @t191 @t222)) % 41.52/41.71 (define @t465 () (and @t140 @t133 @t229 (tptp.quasi_total @t169 @t96 @t69) (tptp.relation_of2 @t169 @t96 @t69) (tptp.element @t191 @t1) (tptp.element @t222 @t11))) % 41.52/41.71 (define @t466 () (@list @t1 @t11 @t69 @t169 @t191 @t222)) % 41.52/41.71 (define @t467 () (tptp.partfun_dom_restriction @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t468 () (and @t71 @t74)) % 41.52/41.71 (define @t469 () (tptp.strict_rel_str @t322)) % 41.52/41.71 (define @t470 () (tptp.antisymmetric_relstr @t331)) % 41.52/41.71 (define @t471 () (tptp.transitive_relstr @t331)) % 41.52/41.71 (define @t472 () (tptp.reflexive_relstr @t331)) % 41.52/41.71 (define @t473 () (tptp.strict_rel_str @t331)) % 41.52/41.71 (define @t474 () (and @t33 @t17 @t205 @t16 @t394)) % 41.52/41.71 (define @t475 () (tptp.strict_rel_str @t344)) % 41.52/41.71 (define @t476 () (tptp.apply_on_set_and_struct @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t477 () (tptp.element @t169 @t1)) % 41.52/41.71 (define @t478 () (tptp.relation_of2 @t69 @t1 @t14)) % 41.52/41.71 (define @t479 () (tptp.quasi_total @t69 @t1 @t14)) % 41.52/41.71 (define @t480 () (and @t140 @t205 @t247 @t71 @t479 @t478 @t477)) % 41.52/41.71 (define @t481 () (tptp.relation @t390)) % 41.52/41.71 (define @t482 () (tptp.function_invverse_img_as_carrier_subset @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t483 () (and @t17 @t462 @t71 @t461 @t460)) % 41.52/41.71 (define @t484 () (tptp.relation @t406)) % 41.52/41.71 (define @t485 () (and @t93 @t177)) % 41.52/41.71 (define @t486 () (tptp.powerset @t11)) % 41.52/41.71 (define @t487 () (tptp.relation_rng_as_subset @t1 @t11 @t69)) % 41.52/41.71 (define @t488 () (tptp.union_of_subsets @t1 @t11)) % 41.52/41.71 (define @t489 () (tptp.strict_net_str @t393 @t1)) % 41.52/41.71 (define @t490 () (tptp.identity_as_relation_of @t1)) % 41.52/41.71 (define @t491 () (tptp.relation @t175)) % 41.52/41.71 (define @t492 () (tptp.meet_of_subsets @t1 @t11)) % 41.52/41.71 (define @t493 () (tptp.subset_difference @t1 @t11 @t69)) % 41.52/41.71 (define @t494 () (tptp.strict_net_str @t249 @t1)) % 41.52/41.71 (define @t495 () (tptp.function_of_composition @t1 @t11 @t69 @t169 @t191)) % 41.52/41.71 (define @t496 () (tptp.function @t191)) % 41.52/41.71 (define @t497 () (tptp.quasi_total @t169 @t1 @t11)) % 41.52/41.71 (define @t498 () (and @t133 @t229 @t497 (tptp.relation_of2 @t169 @t1 @t11) @t496 (tptp.quasi_total @t191 @t11 @t69) (tptp.relation_of2 @t191 @t11 @t69))) % 41.52/41.71 (define @t499 () (@list @t1 @t11 @t69 @t169 @t191)) % 41.52/41.71 (define @t500 () (tptp.relation @t197)) % 41.52/41.71 (define @t501 () (tptp.apply_on_set_and_struct2 @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t502 () (and @t140 @t205 @t462 @t71 @t479 @t478 @t477)) % 41.52/41.71 (define @t503 () (tptp.apply_as_element @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t504 () (and @t140 @t71 @t70 @t74 @t477)) % 41.52/41.71 (define @t505 () (tptp.relation @t216)) % 41.52/41.71 (define @t506 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t69 @t169)) % 41.52/41.71 (define @t507 () (forall @t6 (=> @t245 @t17))) % 41.52/41.71 (define @t508 () (and @t33 @t269 @t245 @t150)) % 41.52/41.71 (define @t509 () (and @t33 @t17 @t205 @t144 @t234 @t16)) % 41.52/41.71 (define @t510 () (tptp.cartesian_product2 @t3 @t3)) % 41.52/41.71 (define @t511 () (tptp.quasi_total @t7 @t510 @t3)) % 41.52/41.71 (define @t512 () (tptp.function @t7)) % 41.52/41.71 (define @t513 () (tptp.quasi_total @t12 @t14 @t3)) % 41.52/41.71 (define @t514 () (tptp.function @t12)) % 41.52/41.71 (define @t515 () (tptp.quasi_total @t8 @t510 @t3)) % 41.52/41.71 (define @t516 () (tptp.function @t8)) % 41.52/41.71 (define @t517 () (tptp.finite @t159)) % 41.52/41.71 (define @t518 () (tptp.relation_composition @t11 @t1)) % 41.52/41.71 (define @t519 () (and @t54 @t177)) % 41.52/41.71 (define @t520 () (tptp.relation_empty_yielding tptp.empty_set)) % 41.52/41.71 (define @t521 () (tptp.relation tptp.empty_set)) % 41.52/41.71 (define @t522 () (tptp.empty tptp.empty_set)) % 41.52/41.71 (define @t523 () (tptp.relation_empty_yielding @t1)) % 41.52/41.71 (define @t524 () (and @t93 @t523)) % 41.52/41.71 (define @t525 () (tptp.relation @t2)) % 41.52/41.71 (define @t526 () (and @t65 @t107)) % 41.52/41.71 (define @t527 () (not (tptp.empty @t297))) % 41.52/41.71 (define @t528 () (not (tptp.empty @t56))) % 41.52/41.71 (define @t529 () (tptp.boolean_lattstr @t290)) % 41.52/41.71 (define @t530 () (tptp.complemented_lattstr @t290)) % 41.52/41.71 (define @t531 () (tptp.bounded_lattstr @t290)) % 41.52/41.71 (define @t532 () (tptp.upper_bounded_semilattstr @t290)) % 41.52/41.71 (define @t533 () (tptp.lower_bounded_semilattstr @t290)) % 41.52/41.71 (define @t534 () (tptp.modular_lattstr @t290)) % 41.52/41.71 (define @t535 () (tptp.distributive_lattstr @t290)) % 41.52/41.71 (define @t536 () (tptp.lattice @t290)) % 41.52/41.71 (define @t537 () (tptp.join_absorbing @t290)) % 41.52/41.71 (define @t538 () (tptp.meet_absorbing @t290)) % 41.52/41.71 (define @t539 () (tptp.meet_associative @t290)) % 41.52/41.71 (define @t540 () (tptp.meet_commutative @t290)) % 41.52/41.71 (define @t541 () (tptp.join_associative @t290)) % 41.52/41.71 (define @t542 () (tptp.join_commutative @t290)) % 41.52/41.71 (define @t543 () (not (tptp.empty_carrier @t290))) % 41.52/41.71 (define @t544 () (not (tptp.empty @t298))) % 41.52/41.71 (define @t545 () (tptp.distributive_relstr @t344)) % 41.52/41.71 (define @t546 () (tptp.join_complete_relstr @t344)) % 41.52/41.71 (define @t547 () (tptp.up_complete_relstr @t344)) % 41.52/41.71 (define @t548 () (tptp.bounded_relstr @t344)) % 41.52/41.71 (define @t549 () (tptp.upper_bounded_relstr @t344)) % 41.52/41.71 (define @t550 () (tptp.lower_bounded_relstr @t344)) % 41.52/41.71 (define @t551 () (tptp.complete_relstr @t344)) % 41.52/41.71 (define @t552 () (tptp.with_infima_relstr @t344)) % 41.52/41.71 (define @t553 () (tptp.with_suprema_relstr @t344)) % 41.52/41.71 (define @t554 () (tptp.antisymmetric_relstr @t344)) % 41.52/41.71 (define @t555 () (tptp.transitive_relstr @t344)) % 41.52/41.71 (define @t556 () (tptp.reflexive_relstr @t344)) % 41.52/41.71 (define @t557 () (not (tptp.empty_carrier @t344))) % 41.52/41.71 (define @t558 () (tptp.boolean_relstr @t344)) % 41.52/41.71 (define @t559 () (tptp.complemented_relstr @t344)) % 41.52/41.71 (define @t560 () (tptp.heyting_relstr @t344)) % 41.52/41.71 (define @t561 () (not (tptp.v1_yellow_3 @t344))) % 41.52/41.71 (define @t562 () (tptp.rel_str_of @t297 @t11)) % 41.52/41.71 (define @t563 () (tptp.with_infima_relstr @t331)) % 41.52/41.71 (define @t564 () (tptp.with_suprema_relstr @t331)) % 41.52/41.71 (define @t565 () (not (tptp.empty_carrier @t331))) % 41.52/41.71 (define @t566 () (tptp.v1_membered @t159)) % 41.52/41.71 (define @t567 () (tptp.v1_membered @t158)) % 41.52/41.71 (define @t568 () (tptp.v2_membered @t159)) % 41.52/41.71 (define @t569 () (tptp.ordinal @t298)) % 41.52/41.71 (define @t570 () (tptp.epsilon_connected @t298)) % 41.52/41.71 (define @t571 () (tptp.epsilon_transitive @t298)) % 41.52/41.71 (define @t572 () (not (tptp.empty @t152))) % 41.52/41.71 (define @t573 () (tptp.function @t175)) % 41.52/41.71 (define @t574 () (tptp.v1_partfun1 @t8 @t510 @t3)) % 41.52/41.71 (define @t575 () (tptp.relation @t8)) % 41.52/41.71 (define @t576 () (and @t33 @t85 @t156)) % 41.52/41.71 (define @t577 () (and @t269 @t245 @t101)) % 41.52/41.71 (define @t578 () (tptp.upper_bounded_relstr @t331)) % 41.52/41.71 (define @t579 () (tptp.v2_membered @t158)) % 41.52/41.71 (define @t580 () (tptp.v3_membered @t159)) % 41.52/41.71 (define @t581 () (tptp.v3_membered @t158)) % 41.52/41.71 (define @t582 () (tptp.v4_membered @t159)) % 41.52/41.71 (define @t583 () (tptp.v4_membered @t158)) % 41.52/41.71 (define @t584 () (tptp.v1_membered @t376)) % 41.52/41.71 (define @t585 () (tptp.v2_membered @t376)) % 41.52/41.71 (define @t586 () (tptp.v3_membered @t376)) % 41.52/41.71 (define @t587 () (tptp.transitive @t11)) % 41.52/41.71 (define @t588 () (tptp.antisymmetric @t11)) % 41.52/41.71 (define @t589 () (tptp.open_subset @t311 @t1)) % 41.52/41.71 (define @t590 () (tptp.lower_bounded_relstr @t331)) % 41.52/41.71 (define @t591 () (tptp.v4_membered @t376)) % 41.52/41.71 (define @t592 () (tptp.v1_partfun1 @t7 @t510 @t3)) % 41.52/41.71 (define @t593 () (tptp.relation @t7)) % 41.52/41.71 (define @t594 () (tptp.closed_subset @t311 @t1)) % 41.52/41.71 (define @t595 () (and @t177 @t125)) % 41.52/41.71 (define @t596 () (and @t269 @t245)) % 41.52/41.71 (define @t597 () (tptp.empty @t210)) % 41.52/41.71 (define @t598 () (and @t140 @t93)) % 41.52/41.71 (define @t599 () (tptp.antisymmetric_relstr @t322)) % 41.52/41.71 (define @t600 () (tptp.transitive_relstr @t322)) % 41.52/41.71 (define @t601 () (tptp.reflexive_relstr @t322)) % 41.52/41.71 (define @t602 () (tptp.empty @t378)) % 41.52/41.71 (define @t603 () (tptp.open_subset @t312 @t1)) % 41.52/41.71 (define @t604 () (and @t205 @t447 @t291)) % 41.52/41.71 (define @t605 () (= @t1 @t169)) % 41.52/41.71 (define @t606 () (exists @t184 (and @t202 @t605 (tptp.latt_set_smaller @t11 @t169 @t69)))) % 41.52/41.71 (define @t607 () (= @t1 @t191)) % 41.52/41.71 (define @t608 () (= @t1 @t69)) % 41.52/41.71 (define @t609 () (and @t608 @t333)) % 41.52/41.71 (define @t610 () (@var "H" $$unsorted)) % 41.52/41.71 (define @t611 () (= @t169 @t610)) % 41.52/41.71 (define @t612 () (= @t69 @t222)) % 41.52/41.71 (define @t613 () (@list @t169 @t191 @t222)) % 41.52/41.71 (define @t614 () (tptp.in @t11 @t217)) % 41.52/41.71 (define @t615 () (tptp.disjoint @t297 @t11)) % 41.52/41.71 (define @t616 () (not @t22)) % 41.52/41.71 (define @t617 () (tptp.well_ordering @t11)) % 41.52/41.71 (define @t618 () (tptp.in (tptp.ordered_pair @t69 @t11) @t1)) % 41.52/41.71 (define @t619 () (tptp.singleton @t69)) % 41.52/41.71 (define @t620 () (not @t282)) % 41.52/41.71 (define @t621 () (tptp.singleton @t11)) % 41.52/41.71 (define @t622 () (tptp.union @t11)) % 41.52/41.71 (define @t623 () (tptp.in @t1 @t69)) % 41.52/41.71 (define @t624 () (tptp.element @t1 @t486)) % 41.52/41.71 (define @t625 () (tptp.relation_dom_restriction @t69 @t1)) % 41.52/41.71 (define @t626 () (tptp.in @t11 (tptp.relation_dom @t625))) % 41.52/41.71 (define @t627 () (tptp.proper_element @t11 @t56)) % 41.52/41.71 (define @t628 () (tptp.strict_net_str @t69 @t1)) % 41.52/41.71 (define @t629 () (tptp.relation_dom_restriction @t69 @t169)) % 41.52/41.71 (define @t630 () (tptp.unordered_pair @t11 @t69)) % 41.52/41.71 (define @t631 () (tptp.set_union2 @t11 @t69)) % 41.52/41.71 (define @t632 () (tptp.set_intersection2 @t11 @t69)) % 41.52/41.71 (define @t633 () (tptp.set_difference @t11 @t69)) % 41.52/41.71 (define @t634 () (tptp.relation_composition @t169 @t191)) % 41.52/41.71 (define @t635 () (tptp.below_refl @t1 @t11 @t69)) % 41.52/41.71 (define @t636 () (and @t33 @t83 @t81 @t80 @t10 @t150 @t149)) % 41.52/41.71 (define @t637 () (and @t33 @t31 @t5 @t150 @t149)) % 41.52/41.71 (define @t638 () (@var "K" $$unsorted)) % 41.52/41.71 (define @t639 () (@var "J" $$unsorted)) % 41.52/41.71 (define @t640 () (tptp.in @t638 @t639)) % 41.52/41.71 (define @t641 () (@list @t638)) % 41.52/41.71 (define @t642 () (@list @t639)) % 41.52/41.71 (define @t643 () (= @t169 @t191)) % 41.52/41.71 (define @t644 () (@var "I" $$unsorted)) % 41.52/41.71 (define @t645 () (tptp.in @t644 @t610)) % 41.52/41.71 (define @t646 () (@list @t644)) % 41.52/41.71 (define @t647 () (@list @t610)) % 41.52/41.71 (define @t648 () (exists @t647 (and (= @t69 @t610) (tptp.in @t191 @t610) (forall @t646 (=> @t645 (tptp.in (tptp.ordered_pair @t191 @t644) @t11)))))) % 41.52/41.71 (define @t649 () (tptp.in @t220 @t222)) % 41.52/41.71 (define @t650 () (exists @t227 (and @t612 (tptp.in @t169 @t222) (forall @t225 (=> @t649 (tptp.in (tptp.ordered_pair @t169 @t220) @t11)))))) % 41.52/41.71 (define @t651 () (forall @t407 (=> (and @t171 @t650 @t171 @t648) @t643))) % 41.52/41.71 (define @t652 () (and @t140 @t177)) % 41.52/41.71 (define @t653 () (= @t169 @t621)) % 41.52/41.71 (define @t654 () (= @t69 @t621)) % 41.52/41.71 (define @t655 () (forall @t283 (=> (and @t20 @t654 @t20 @t653) @t170))) % 41.52/41.71 (define @t656 () (tptp.subset_complement @t3 @t610)) % 41.52/41.71 (define @t657 () (= @t610 @t169)) % 41.52/41.71 (define @t658 () (tptp.element @t610 @t100)) % 41.52/41.71 (define @t659 () (forall @t647 (=> @t658 (=> @t657 (= @t191 @t656))))) % 41.52/41.71 (define @t660 () (tptp.complements_of_subsets @t3 @t11)) % 41.52/41.71 (define @t661 () (tptp.in @t169 @t660)) % 41.52/41.71 (define @t662 () (tptp.element @t220 @t100)) % 41.52/41.71 (define @t663 () (forall @t225 (=> @t662 (=> (= @t220 @t69) (= @t191 (tptp.subset_complement @t3 @t220)))))) % 41.52/41.71 (define @t664 () (tptp.in @t69 @t660)) % 41.52/41.71 (define @t665 () (tptp.element @t222 @t100)) % 41.52/41.71 (define @t666 () (forall @t227 (=> @t665 (=> (= @t222 @t69) (= @t169 (tptp.subset_complement @t3 @t222)))))) % 41.52/41.71 (define @t667 () (forall @t407 (=> (and @t664 @t666 @t664 @t663) @t643))) % 41.52/41.71 (define @t668 () (and @t17 @t303)) % 41.52/41.71 (define @t669 () (forall @t407 (=> (and @t304 @t666 @t304 @t663) @t643))) % 41.52/41.71 (define @t670 () (tptp.ordinal @t69)) % 41.52/41.71 (define @t671 () (@var "S" $$unsorted)) % 41.52/41.71 (define @t672 () (@var "T" $$unsorted)) % 41.52/41.71 (define @t673 () (@var "R" $$unsorted)) % 41.52/41.71 (define @t674 () (tptp.powerset (tptp.powerset @t169))) % 41.52/41.71 (define @t675 () (@list @t673)) % 41.52/41.71 (define @t676 () (tptp.in @t169 tptp.omega)) % 41.52/41.71 (define @t677 () (tptp.ordinal @t169)) % 41.52/41.71 (define @t678 () (@var "P" $$unsorted)) % 41.52/41.71 (define @t679 () (@var "Q" $$unsorted)) % 41.52/41.71 (define @t680 () (@var "O" $$unsorted)) % 41.52/41.71 (define @t681 () (@list @t679)) % 41.52/41.71 (define @t682 () (@list @t678)) % 41.52/41.71 (define @t683 () (@list @t680)) % 41.52/41.71 (define @t684 () (@var "M" $$unsorted)) % 41.52/41.71 (define @t685 () (@var "N" $$unsorted)) % 41.52/41.71 (define @t686 () (@var "L" $$unsorted)) % 41.52/41.71 (define @t687 () (@list @t685)) % 41.52/41.71 (define @t688 () (tptp.in @t684 @t686)) % 41.52/41.71 (define @t689 () (@list @t684)) % 41.52/41.71 (define @t690 () (@list @t686)) % 41.52/41.71 (define @t691 () (tptp.succ @t169)) % 41.52/41.71 (define @t692 () (=> @t676 (forall @t201 (=> (tptp.element @t191 @t674) (not (and (not (= @t191 tptp.empty_set)) (forall @t227 (not (and (tptp.in @t222 @t191) (forall @t225 (=> (and (tptp.in @t220 @t191) (tptp.subset @t222 @t220)) (= @t220 @t222)))))))))))) % 41.52/41.71 (define @t693 () (tptp.subset @t11 @t69)) % 41.52/41.71 (define @t694 () (tptp.powerset tptp.empty_set)) % 41.52/41.71 (define @t695 () (tptp.apply @t69 @t222)) % 41.52/41.71 (define @t696 () (tptp.in @t222 @t1)) % 41.52/41.71 (define @t697 () (tptp.relation @t169)) % 41.52/41.71 (define @t698 () (and @t177 @t95 @t71)) % 41.52/41.71 (define @t699 () (forall @t641 (=> @t640 (tptp.in (tptp.ordered_pair @t169 @t638) @t11)))) % 41.52/41.71 (define @t700 () (tptp.in @t169 @t639)) % 41.52/41.71 (define @t701 () (tptp.cartesian_product2 @t1 @t69)) % 41.52/41.71 (define @t702 () (= @t191 @t222)) % 41.52/41.71 (define @t703 () (tptp.ordered_pair @t638 @t686)) % 41.52/41.71 (define @t704 () (@list @t638 @t686)) % 41.52/41.71 (define @t705 () (= @t169 @t222)) % 41.52/41.71 (define @t706 () (tptp.in @t639 @t644)) % 41.52/41.71 (define @t707 () (tptp.in @t220 @t1)) % 41.52/41.71 (define @t708 () (tptp.ordered_pair @t220 @t610)) % 41.52/41.71 (define @t709 () (= @t708 @t191)) % 41.52/41.71 (define @t710 () (@list @t220 @t610)) % 41.52/41.71 (define @t711 () (tptp.powerset @t69)) % 41.52/41.71 (define @t712 () (tptp.in @t639 @t11)) % 41.52/41.71 (define @t713 () (tptp.in @t610 @t11)) % 41.52/41.71 (define @t714 () (tptp.element @t610 @t3)) % 41.52/41.71 (define @t715 () (= @t220 @t191)) % 41.52/41.71 (define @t716 () (tptp.element @t69 @t486)) % 41.52/41.71 (define @t717 () (and @t33 @t41 @t5 @t101 @t348 @t716)) % 41.52/41.71 (define @t718 () (tptp.ordered_pair @t639 @t638)) % 41.52/41.71 (define @t719 () (@list @t639 @t638)) % 41.52/41.71 (define @t720 () (= @t191 @t169)) % 41.52/41.71 (define @t721 () (tptp.in @t610 @t1)) % 41.52/41.71 (define @t722 () (= @t69 @t191)) % 41.52/41.71 (define @t723 () (tptp.ordered_pair @t222 @t220)) % 41.52/41.71 (define @t724 () (@list @t222 @t220)) % 41.52/41.71 (define @t725 () (not (and (not (= @t222 tptp.empty_set)) (forall @t225 (not (and @t649 (forall @t647 (=> (and (tptp.in @t610 @t222) (tptp.subset @t220 @t610)) (= @t610 @t220))))))))) % 41.52/41.71 (define @t726 () (tptp.ordinal @t191)) % 41.52/41.71 (define @t727 () (tptp.subset @t11 @t169)) % 41.52/41.71 (define @t728 () (tptp.in @t191 @t100)) % 41.52/41.71 (define @t729 () (= @t222 @t169)) % 41.52/41.71 (define @t730 () (tptp.in (tptp.set_difference @t358 @t169) @t11)) % 41.52/41.71 (define @t731 () (and @t269 @t245 @t303)) % 41.52/41.71 (define @t732 () (tptp.in @t220 @t11)) % 41.52/41.71 (define @t733 () (and @t64 (tptp.element @t11 (tptp.powerset (tptp.powerset @t298))))) % 41.52/41.71 (define @t734 () (= @t169 @t656)) % 41.52/41.71 (define @t735 () (forall @t647 (=> @t658 (=> (= @t610 @t191) @t734)))) % 41.52/41.71 (define @t736 () (tptp.in @t191 @t660)) % 41.52/41.71 (define @t737 () (forall @t683 (=> (tptp.element @t680 @t100) (=> (= @t680 @t684) (= @t685 (tptp.subset_complement @t3 @t680)))))) % 41.52/41.71 (define @t738 () (= (tptp.ordered_pair @t684 @t685) @t191)) % 41.52/41.71 (define @t739 () (@list @t684 @t685)) % 41.52/41.71 (define @t740 () (tptp.cartesian_product2 @t660 @t69)) % 41.52/41.71 (define @t741 () (forall @t690 (=> (tptp.element @t686 @t100) (=> (= @t686 @t639) (= @t638 (tptp.subset_complement @t3 @t686)))))) % 41.52/41.71 (define @t742 () (= @t718 @t222)) % 41.52/41.71 (define @t743 () (tptp.subset_complement @t3 @t644)) % 41.52/41.71 (define @t744 () (tptp.element @t644 @t100)) % 41.52/41.71 (define @t745 () (forall @t646 (=> @t744 (=> (= @t644 @t220) (= @t610 @t743))))) % 41.52/41.71 (define @t746 () (tptp.cartesian_product2 @t11 @t69)) % 41.52/41.71 (define @t747 () (tptp.apply @t69 @t220)) % 41.52/41.71 (define @t748 () (tptp.in (tptp.relation_image @t69 @t191) @t11)) % 41.52/41.71 (define @t749 () (tptp.powerset @t373)) % 41.52/41.71 (define @t750 () (and @t410 @t95 @t71)) % 41.52/41.71 (define @t751 () (tptp.succ @t11)) % 41.52/41.71 (define @t752 () (= @t191 @t220)) % 41.52/41.71 (define @t753 () (= @t723 @t191)) % 41.52/41.71 (define @t754 () (exists @t225 (and (tptp.element @t220 @t3) @t732 (tptp.relstr_set_smaller @t1 @t222 @t220)))) % 41.52/41.71 (define @t755 () (tptp.singleton @t191)) % 41.52/41.71 (define @t756 () (exists @t201 (and @t242 @t720 (tptp.closed_subset @t191 @t1) @t727))) % 41.52/41.71 (define @t757 () (tptp.in @t169 @t100)) % 41.52/41.71 (define @t758 () (forall @t647 (=> @t658 (=> (= @t610 @t222) (= @t220 @t656))))) % 41.52/41.71 (define @t759 () (tptp.in @t191 @t69)) % 41.52/41.71 (define @t760 () (tptp.apply @t11 @t69)) % 41.52/41.71 (define @t761 () (= @t279 @t1)) % 41.52/41.71 (define @t762 () (exists @t27 (and @t177 @t125 @t761 (forall @t131 (=> @t171 (= @t760 @t619)))))) % 41.52/41.71 (define @t763 () (forall @t646 (=> @t744 (=> (= @t644 @t169) (= @t396 @t743))))) % 41.52/41.71 (define @t764 () (forall @t184 (not (forall @t647 (=> @t658 (=> (= @t610 @t69) @t734)))))) % 41.52/41.71 (define @t765 () (tptp.in @t1 tptp.omega)) % 41.52/41.71 (define @t766 () (tptp.element @t169 @t100)) % 41.52/41.71 (define @t767 () (= @t408 tptp.empty_set)) % 41.52/41.71 (define @t768 () (not (and @t329 @t767))) % 41.52/41.71 (define @t769 () (tptp.relation_rng @t216)) % 41.52/41.71 (define @t770 () (tptp.meet_of_subsets @t1 @t408)) % 41.52/41.71 (define @t771 () (tptp.the_carrier @t344)) % 41.52/41.71 (define @t772 () (tptp.union_of_subsets @t1 @t408)) % 41.52/41.71 (define @t773 () (tptp.the_carrier @t393)) % 41.52/41.71 (define @t774 () (forall @t131 (not (and @t349 (not (tptp.are_equipotent @t69 @t11)) @t355)))) % 41.52/41.71 (define @t775 () (forall @t174 (=> (and @t304 (tptp.subset @t169 @t69)) @t194))) % 41.52/41.71 (define @t776 () (tptp.meet_of_subsets @t3 @t11)) % 41.52/41.71 (define @t777 () (tptp.relation_dom_restriction @t69 @t11)) % 41.52/41.71 (define @t778 () (tptp.relation_image @t11 @t1)) % 41.52/41.71 (define @t779 () (tptp.relation_inverse_image @t11 @t1)) % 41.52/41.71 (define @t780 () (tptp.relation_image @t11 @t779)) % 41.52/41.71 (define @t781 () (tptp.set_intersection2 @t279 @t1)) % 41.52/41.71 (define @t782 () (tptp.subset @t1 @t280)) % 41.52/41.71 (define @t783 () (tptp.relation_of2_as_subset @t169 @t69 @t11)) % 41.52/41.71 (define @t784 () (tptp.relation_rng @t169)) % 41.52/41.71 (define @t785 () (tptp.relation_of2_as_subset @t169 @t69 @t1)) % 41.52/41.71 (define @t786 () (and @t40 @t5)) % 41.52/41.71 (define @t787 () (tptp.relation_rng @t406)) % 41.52/41.71 (define @t788 () (tptp.relation_inverse_image @t69 @t11)) % 41.52/41.71 (define @t789 () (tptp.relation_restriction @t69 @t11)) % 41.52/41.71 (define @t790 () (tptp.relation_restriction @t11 @t1)) % 41.52/41.71 (define @t791 () (tptp.relation_dom_restriction @t11 @t1)) % 41.52/41.71 (define @t792 () (tptp.relation_field @t69)) % 41.52/41.71 (define @t793 () (tptp.in @t1 @t792)) % 41.52/41.71 (define @t794 () (tptp.subset @t1 @t69)) % 41.52/41.71 (define @t795 () (tptp.the_carrier @t290)) % 41.52/41.71 (define @t796 () (tptp.element @t69 @t795)) % 41.52/41.71 (define @t797 () (tptp.element @t11 @t795)) % 41.52/41.71 (define @t798 () (tptp.element @t1 @t11)) % 41.52/41.71 (define @t799 () (tptp.relstr_set_smaller @t1 @t69 @t169)) % 41.52/41.71 (define @t800 () (tptp.in @t1 @t373)) % 41.52/41.71 (define @t801 () (tptp.in @t383 @t69)) % 41.52/41.71 (define @t802 () (tptp.relation_field @t790)) % 41.52/41.71 (define @t803 () (tptp.apply @t69 @t1)) % 41.52/41.71 (define @t804 () (tptp.relation_composition @t69 @t11)) % 41.52/41.71 (define @t805 () (tptp.in @t1 (tptp.relation_dom @t804))) % 41.52/41.71 (define @t806 () (tptp.apply @t169 @t69)) % 41.52/41.71 (define @t807 () (and @t229 @t497 (tptp.relation_of2_as_subset @t169 @t1 @t11))) % 41.52/41.71 (define @t808 () (tptp.connected @t11)) % 41.52/41.71 (define @t809 () (tptp.well_ordering @t790)) % 41.52/41.71 (define @t810 () (= @t802 @t1)) % 41.52/41.71 (define @t811 () (tptp.well_orders @t11 @t1)) % 41.52/41.71 (define @t812 () (tptp.cast_to_el_of_LattPOSet @t11 @t69)) % 41.52/41.71 (define @t813 () (tptp.poset_of_lattice @t11)) % 41.52/41.71 (define @t814 () (forall @t131 (=> @t203 @t219))) % 41.52/41.71 (define @t815 () (=> @t235 @t814)) % 41.52/41.71 (define @t816 () (forall @t27 @t815)) % 41.52/41.71 (define @t817 () (=> @t207 @t816)) % 41.52/41.71 (define @t818 () (forall @t6 @t817)) % 41.52/41.71 (define @t819 () (tptp.cast_to_el_of_lattice @t11 @t69)) % 41.52/41.71 (define @t820 () (tptp.element @t69 (tptp.the_carrier @t813))) % 41.52/41.71 (define @t821 () (tptp.in @t69 @t262)) % 41.52/41.71 (define @t822 () (=> @t821 @t419)) % 41.52/41.71 (define @t823 () (forall @t131 (=> @t149 @t822))) % 41.52/41.71 (define @t824 () (=> @t235 @t823)) % 41.52/41.71 (define @t825 () (forall @t27 @t824)) % 41.52/41.71 (define @t826 () (=> @t270 @t825)) % 41.52/41.71 (define @t827 () (forall @t6 @t826)) % 41.52/41.71 (define @t828 () (not @t827)) % 41.52/41.71 (define @t829 () (and (= @t11 (tptp.join_on_relstr @t1 @t69)) (tptp.ex_sup_of_relstr_set @t1 @t69))) % 41.52/41.71 (define @t830 () (and (tptp.relstr_set_smaller @t1 @t69 @t11) (forall @t184 (=> @t183 (=> @t799 @t341))))) % 41.52/41.71 (define @t831 () (tptp.well_founded_relation @t11)) % 41.52/41.71 (define @t832 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 41.52/41.71 (define @t833 () (and @t171 @t304)) % 41.52/41.71 (define @t834 () (not @t399)) % 41.52/41.71 (define @t835 () (= @t1 @t751)) % 41.52/41.71 (define @t836 () (and @t33 @t40 @t46 @t5)) % 41.52/41.71 (define @t837 () (tptp.subset_complement @t1 @t69)) % 41.52/41.71 (define @t838 () (tptp.disjoint @t11 @t69)) % 41.52/41.71 (define @t839 () (tptp.relation_dom @t406)) % 41.52/41.71 (define @t840 () (and (tptp.closed_subset @t169 @t1) @t727)) % 41.52/41.71 (define @t841 () (tptp.in @t69 @t243)) % 41.52/41.71 (define @t842 () (tptp.element @t11 @t711)) % 41.52/41.71 (define @t843 () (tptp.in @t69 @t159)) % 41.52/41.71 (define @t844 () (= @t243 @t11)) % 41.52/41.71 (define @t845 () (and (tptp.in @t69 @t378) (= @t169 @t760))) % 41.52/41.71 (define @t846 () (tptp.function_inverse @t11)) % 41.52/41.71 (define @t847 () (tptp.related @t11 @t191 @t222)) % 41.52/41.71 (define @t848 () (= @t378 tptp.empty_set)) % 41.52/41.71 (define @t849 () (= @t210 tptp.empty_set)) % 41.52/41.71 (define @t850 () (= (tptp.apply @t625 @t11) (tptp.apply @t69 @t11))) % 41.52/41.71 (define @t851 () (= @t297 @t630)) % 41.52/41.71 (define @t852 () (@var "BOUND_VARIABLE_17418" $$unsorted)) % 41.52/41.71 (define @t853 () (@var "BOUND_VARIABLE_17420" $$unsorted)) % 41.52/41.71 (define @t854 () (= (tptp.is_a_cluster_point_of_netstr @t1 @t852 @t853) (forall @t184 (or (not (tptp.point_neighbourhood @t169 @t1 @t853)) (tptp.is_often_in @t1 @t852 @t169))))) % 41.52/41.71 (define @t855 () (not (tptp.element @t853 @t3))) % 41.52/41.71 (define @t856 () (not (tptp.net_str @t852 @t1))) % 41.52/41.71 (define @t857 () (tptp.empty_carrier @t852)) % 41.52/41.71 (define @t858 () (not @t245)) % 41.52/41.71 (define @t859 () (not @t269)) % 41.52/41.71 (define @t860 () (or @t857 @t856 @t855 @t854)) % 41.52/41.71 (define @t861 () (or @t32 @t859 @t858 @t860)) % 41.52/41.71 (define @t862 () (forall (@list @t1 @t852 @t853) @t861)) % 41.52/41.71 (define @t863 () (@list @t852 @t853)) % 41.52/41.71 (define @t864 () (forall @t863 @t861)) % 41.52/41.71 (define @t865 () (forall @t863 @t860)) % 41.52/41.71 (define @t866 () (@var "BOUND_VARIABLE_17398" $$unsorted)) % 41.52/41.71 (define @t867 () (or @t32 @t859 @t858 @t865)) % 41.52/41.71 (define @t868 () (= (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t866) (forall @t184 (or (not (tptp.point_neighbourhood @t169 @t1 @t866)) @t416)))) % 41.52/41.71 (define @t869 () (not (tptp.element @t866 @t3))) % 41.52/41.71 (define @t870 () (not @t16)) % 41.52/41.71 (define @t871 () (or @t204 @t870 @t869 @t868)) % 41.52/41.71 (define @t872 () (@list @t11 @t866)) % 41.52/41.71 (define @t873 () (forall @t872 @t871)) % 41.52/41.71 (define @t874 () (or @t32 @t859 @t858 @t873)) % 41.52/41.71 (define @t875 () (or @t32 @t859 @t858)) % 41.52/41.71 (define @t876 () (not @t33)) % 41.52/41.71 (define @t877 () (or @t876 @t859 @t858)) % 41.52/41.71 (define @t878 () (not @t270)) % 41.52/41.71 (define @t879 () (or @t869 @t868)) % 41.52/41.71 (define @t880 () (or @t204 @t870 @t879)) % 41.52/41.71 (define @t881 () (forall @t872 @t880)) % 41.52/41.71 (define @t882 () (@list @t866)) % 41.52/41.71 (define @t883 () (forall @t882 @t880)) % 41.52/41.71 (define @t884 () (forall @t882 @t879)) % 41.52/41.71 (define @t885 () (@list @t69)) % 41.52/41.71 (define @t886 () (or @t204 @t870 @t884)) % 41.52/41.71 (define @t887 () (= @t419 (forall @t184 (or (not @t417) @t416)))) % 41.52/41.71 (define @t888 () (not @t149)) % 41.52/41.71 (define @t889 () (forall @t131 (or @t888 @t887))) % 41.52/41.71 (define @t890 () (or @t204 @t870 @t889)) % 41.52/41.71 (define @t891 () (not @t205)) % 41.52/41.71 (define @t892 () (@var "BOUND_VARIABLE_24847" $$unsorted)) % 41.52/41.71 (define @t893 () (@var "BOUND_VARIABLE_24845" $$unsorted)) % 41.52/41.71 (define @t894 () (tptp.is_a_cluster_point_of_netstr @t1 @t893 @t892)) % 41.52/41.71 (define @t895 () (not (tptp.in @t892 (tptp.lim_points_of_net @t1 @t893)))) % 41.52/41.71 (define @t896 () (not (tptp.element @t892 @t3))) % 41.52/41.71 (define @t897 () (not (tptp.net_str @t893 @t1))) % 41.52/41.71 (define @t898 () (not (tptp.directed_relstr @t893))) % 41.52/41.71 (define @t899 () (not (tptp.transitive_relstr @t893))) % 41.52/41.71 (define @t900 () (tptp.empty_carrier @t893)) % 41.52/41.71 (define @t901 () (or @t32 @t859 @t858 @t900 @t899 @t898 @t897 @t896 @t895 @t894)) % 41.52/41.71 (define @t902 () (@list @t1 @t893 @t892)) % 41.52/41.71 (define @t903 () (forall @t902 @t901)) % 41.52/41.71 (define @t904 () (@quantifiers_skolemize @t903 2)) % 41.52/41.71 (define @t905 () (@quantifiers_skolemize @t903 1)) % 41.52/41.71 (define @t906 () (@quantifiers_skolemize @t903 0)) % 41.52/41.71 (define @t907 () (or @t900 @t899 @t898 @t897 @t896 @t895 @t894)) % 41.52/41.71 (define @t908 () (or @t32 @t859 @t858 @t907)) % 41.52/41.71 (define @t909 () (forall @t902 @t908)) % 41.52/41.71 (define @t910 () (@list @t893 @t892)) % 41.52/41.71 (define @t911 () (forall @t910 @t908)) % 41.52/41.71 (define @t912 () (forall @t910 @t907)) % 41.52/41.71 (define @t913 () (@var "BOUND_VARIABLE_24828" $$unsorted)) % 41.52/41.71 (define @t914 () (or @t32 @t859 @t858 @t912)) % 41.52/41.71 (define @t915 () (tptp.is_a_cluster_point_of_netstr @t1 @t11 @t913)) % 41.52/41.71 (define @t916 () (not (tptp.in @t913 @t262))) % 41.52/41.71 (define @t917 () (not (tptp.element @t913 @t3))) % 41.52/41.71 (define @t918 () (not @t234)) % 41.52/41.71 (define @t919 () (not @t144)) % 41.52/41.71 (define @t920 () (or @t204 @t919 @t918 @t870 @t917 @t916 @t915)) % 41.52/41.71 (define @t921 () (@list @t11 @t913)) % 41.52/41.71 (define @t922 () (forall @t921 @t920)) % 41.52/41.71 (define @t923 () (or @t32 @t859 @t858 @t922)) % 41.52/41.71 (define @t924 () (or @t917 @t916 @t915)) % 41.52/41.71 (define @t925 () (or @t204 @t919 @t918 @t870 @t924)) % 41.52/41.71 (define @t926 () (forall @t921 @t925)) % 41.52/41.71 (define @t927 () (@list @t913)) % 41.52/41.71 (define @t928 () (forall @t927 @t925)) % 41.52/41.71 (define @t929 () (forall @t927 @t924)) % 41.52/41.71 (define @t930 () (or @t204 @t919 @t918 @t870 @t929)) % 41.52/41.71 (define @t931 () (not @t821)) % 41.52/41.71 (define @t932 () (or @t888 @t931 @t419)) % 41.52/41.71 (define @t933 () (forall @t131 @t932)) % 41.52/41.71 (define @t934 () (or @t204 @t919 @t918 @t870 @t933)) % 41.52/41.71 (define @t935 () (or @t204 @t919 @t918 @t870)) % 41.52/41.71 (define @t936 () (or @t891 @t919 @t918 @t870)) % 41.52/41.71 (define @t937 () (or @t891 (or @t919 (or @t918 @t870)))) % 41.52/41.71 (define @t938 () (not @t235)) % 41.52/41.71 (define @t939 () (tptp.the_carrier @t906)) % 41.52/41.71 (define @t940 () (tptp.element @t904 @t939)) % 41.52/41.71 (define @t941 () (tptp.is_a_cluster_point_of_netstr @t906 @t905 @t904)) % 41.52/41.71 (define @t942 () (tptp.lim_points_of_net @t906 @t905)) % 41.52/41.71 (define @t943 () (tptp.in @t904 @t942)) % 41.52/41.71 (define @t944 () (not @t943)) % 41.52/41.71 (define @t945 () (not @t940)) % 41.52/41.71 (define @t946 () (tptp.net_str @t905 @t906)) % 41.52/41.71 (define @t947 () (not @t946)) % 41.52/41.71 (define @t948 () (tptp.directed_relstr @t905)) % 41.52/41.71 (define @t949 () (not @t948)) % 41.52/41.71 (define @t950 () (tptp.transitive_relstr @t905)) % 41.52/41.71 (define @t951 () (not @t950)) % 41.52/41.71 (define @t952 () (tptp.empty_carrier @t905)) % 41.52/41.71 (define @t953 () (tptp.top_str @t906)) % 41.52/41.71 (define @t954 () (not @t953)) % 41.52/41.71 (define @t955 () (tptp.topological_space @t906)) % 41.52/41.71 (define @t956 () (not @t955)) % 41.52/41.71 (define @t957 () (tptp.empty_carrier @t906)) % 41.52/41.71 (define @t958 () (or @t957 @t956 @t954 @t952 @t951 @t949 @t947 @t945 @t944 @t941)) % 41.52/41.71 (define @t959 () (@list true)) % 41.52/41.71 (define @t960 () (@list @t958)) % 41.52/41.71 (define @t961 () (forall @t184 (or (not (tptp.point_neighbourhood @t169 @t906 @t904)) (tptp.is_often_in @t906 @t905 @t169)))) % 41.52/41.71 (define @t962 () (= @t941 @t961)) % 41.52/41.71 (define @t963 () (or @t957 @t956 @t954 @t952 @t947 @t945 @t962)) % 41.52/41.71 (define @t964 () (not @t961)) % 41.52/41.71 (define @t965 () (@quantifiers_skolemize @t961 0)) % 41.52/41.71 (define @t966 () (tptp.point_neighbourhood @t965 @t906 @t904)) % 41.52/41.71 (define @t967 () (tptp.is_often_in @t906 @t905 @t965)) % 41.52/41.71 (define @t968 () (not @t966)) % 41.52/41.71 (define @t969 () (or @t968 @t967)) % 41.52/41.71 (define @t970 () (@list @t969)) % 41.52/41.71 (define @t971 () (@var "BOUND_VARIABLE_15012" $$unsorted)) % 41.52/41.71 (define @t972 () (tptp.lim_points_of_net @t1 @t971)) % 41.52/41.71 (define @t973 () (@var "BOUND_VARIABLE_15014" $$unsorted)) % 41.52/41.71 (define @t974 () (not @t257)) % 41.52/41.71 (define @t975 () (not @t183)) % 41.52/41.71 (define @t976 () (forall @t184 (or @t975 (= (forall @t201 (or @t974 (tptp.is_eventually_in @t1 @t971 @t191))) (tptp.in @t169 @t973))))) % 41.52/41.71 (define @t977 () (= @t972 @t973)) % 41.52/41.71 (define @t978 () (not (tptp.element @t973 @t100))) % 41.52/41.71 (define @t979 () (not (tptp.net_str @t971 @t1))) % 41.52/41.71 (define @t980 () (not (tptp.directed_relstr @t971))) % 41.52/41.71 (define @t981 () (not (tptp.transitive_relstr @t971))) % 41.52/41.71 (define @t982 () (tptp.empty_carrier @t971)) % 41.52/41.71 (define @t983 () (= @t977 @t976)) % 41.52/41.71 (define @t984 () (or @t32 @t859 @t858 @t982 @t981 @t980 @t979 @t978 @t983)) % 41.52/41.71 (define @t985 () (or @t982 @t981 @t980 @t979 @t978 @t983)) % 41.52/41.71 (define @t986 () (or @t32 @t859 @t858 @t985)) % 41.52/41.71 (define @t987 () (@list @t1 @t971 @t973)) % 41.52/41.71 (define @t988 () (forall @t987 @t986)) % 41.52/41.71 (define @t989 () (@list @t971 @t973)) % 41.52/41.71 (define @t990 () (forall @t989 @t986)) % 41.52/41.71 (define @t991 () (forall @t989 @t985)) % 41.52/41.71 (define @t992 () (@var "BOUND_VARIABLE_14983" $$unsorted)) % 41.52/41.71 (define @t993 () (or @t32 @t859 @t858 @t991)) % 41.52/41.71 (define @t994 () (tptp.in @t169 @t992)) % 41.52/41.71 (define @t995 () (forall @t201 (or @t974 @t256))) % 41.52/41.71 (define @t996 () (not (tptp.element @t992 @t100))) % 41.52/41.71 (define @t997 () (@list @t11 @t992)) % 41.52/41.71 (define @t998 () (forall @t997 (or @t204 @t919 @t918 @t870 @t996 (= (= @t262 @t992) (forall @t184 (or @t975 (= @t995 @t994))))))) % 41.52/41.71 (define @t999 () (or @t32 @t859 @t858 @t998)) % 41.52/41.71 (define @t1000 () (or @t975 (= @t994 @t995))) % 41.52/41.71 (define @t1001 () (forall @t184 @t1000)) % 41.52/41.71 (define @t1002 () (= (= @t992 @t262) @t1001)) % 41.52/41.71 (define @t1003 () (or @t204 @t919 @t918 @t870 @t996 @t1002)) % 41.52/41.71 (define @t1004 () (or @t996 @t1002)) % 41.52/41.71 (define @t1005 () (or @t204 @t919 @t918 @t870 @t1004)) % 41.52/41.71 (define @t1006 () (forall @t997 @t1005)) % 41.52/41.71 (define @t1007 () (@list @t992)) % 41.52/41.71 (define @t1008 () (forall @t1007 @t1005)) % 41.52/41.71 (define @t1009 () (forall @t1007 @t1004)) % 41.52/41.71 (define @t1010 () (or @t204 @t919 @t918 @t870 @t1009)) % 41.52/41.71 (define @t1011 () (= @t211 @t995)) % 41.52/41.71 (define @t1012 () (= @t263 (forall @t184 (or @t975 @t1011)))) % 41.52/41.71 (define @t1013 () (forall @t131 (or (not @t244) @t1012))) % 41.52/41.71 (define @t1014 () (or @t204 @t919 @t918 @t870 @t1013)) % 41.52/41.71 (define @t1015 () (tptp.is_eventually_in @t906 @t905 @t191)) % 41.52/41.71 (define @t1016 () (forall @t201 (or (not (tptp.point_neighbourhood @t191 @t906 @t169)) @t1015))) % 41.52/41.71 (define @t1017 () (tptp.in @t169 @t942)) % 41.52/41.71 (define @t1018 () (not (tptp.element @t169 @t939))) % 41.52/41.71 (define @t1019 () (forall @t184 (or @t1018 (= @t1017 @t1016)))) % 41.52/41.71 (define @t1020 () (or @t1018 (= @t1016 @t1017))) % 41.52/41.71 (define @t1021 () (forall @t184 @t1020)) % 41.52/41.71 (define @t1022 () (= @t1021 (= @t942 @t942))) % 41.52/41.71 (define @t1023 () (tptp.element @t942 (tptp.powerset @t939))) % 41.52/41.71 (define @t1024 () (not @t1023)) % 41.52/41.71 (define @t1025 () (or @t957 @t956 @t954 @t952 @t951 @t949 @t947 @t1024 @t1022)) % 41.52/41.71 (define @t1026 () (forall @t987 (or @t32 @t859 @t858 @t982 @t981 @t980 @t979 @t978 (= @t976 (= @t973 @t972))))) % 41.52/41.71 (define @t1027 () (or @t957 @t956 @t954 @t952 @t951 @t949 @t947 @t1024 @t1019)) % 41.52/41.71 (define @t1028 () (or @t876 @t859 @t858 @t891 @t919 @t918 @t870)) % 41.52/41.71 (define @t1029 () (or @t957 @t956 @t954 @t952 @t951 @t949 @t947 @t1023)) % 41.52/41.71 (define @t1030 () (forall @t201 (or (not (tptp.point_neighbourhood @t191 @t906 @t904)) @t1015))) % 41.52/41.71 (define @t1031 () (= @t943 @t1030)) % 41.52/41.71 (define @t1032 () (or @t945 @t1031)) % 41.52/41.71 (define @t1033 () (@list false false)) % 41.52/41.71 (define @t1034 () (@var "BOUND_VARIABLE_24758" $$unsorted)) % 41.52/41.71 (define @t1035 () (@var "BOUND_VARIABLE_24756" $$unsorted)) % 41.52/41.71 (define @t1036 () (tptp.is_often_in @t1 @t1035 @t1034)) % 41.52/41.71 (define @t1037 () (not (tptp.is_eventually_in @t1 @t1035 @t1034))) % 41.52/41.71 (define @t1038 () (not (tptp.net_str @t1035 @t1))) % 41.52/41.71 (define @t1039 () (not (tptp.directed_relstr @t1035))) % 41.52/41.71 (define @t1040 () (not (tptp.transitive_relstr @t1035))) % 41.52/41.71 (define @t1041 () (tptp.empty_carrier @t1035)) % 41.52/41.71 (define @t1042 () (not @t17)) % 41.52/41.71 (define @t1043 () (or @t1041 @t1040 @t1039 @t1038 @t1037 @t1036)) % 41.52/41.71 (define @t1044 () (or @t32 @t1042 @t1043)) % 41.52/41.71 (define @t1045 () (forall (@list @t1 @t1035 @t1034) @t1044)) % 41.52/41.71 (define @t1046 () (@list @t1035 @t1034)) % 41.52/41.71 (define @t1047 () (forall @t1046 @t1044)) % 41.52/41.71 (define @t1048 () (forall @t1046 @t1043)) % 41.52/41.71 (define @t1049 () (@var "BOUND_VARIABLE_24741" $$unsorted)) % 41.52/41.71 (define @t1050 () (or @t32 @t1042 @t1048)) % 41.52/41.71 (define @t1051 () (tptp.is_often_in @t1 @t11 @t1049)) % 41.52/41.71 (define @t1052 () (not (tptp.is_eventually_in @t1 @t11 @t1049))) % 41.52/41.71 (define @t1053 () (or @t204 @t919 @t918 @t870 @t1052 @t1051)) % 41.52/41.71 (define @t1054 () (@list @t11 @t1049)) % 41.52/41.71 (define @t1055 () (forall @t1054 @t1053)) % 41.52/41.71 (define @t1056 () (or @t32 @t1042 @t1055)) % 41.52/41.71 (define @t1057 () (or @t1052 @t1051)) % 41.52/41.71 (define @t1058 () (or @t204 @t919 @t918 @t870 @t1057)) % 41.52/41.71 (define @t1059 () (forall @t1054 @t1058)) % 41.52/41.71 (define @t1060 () (@list @t1049)) % 41.52/41.71 (define @t1061 () (forall @t1060 @t1058)) % 41.52/41.71 (define @t1062 () (forall @t1060 @t1057)) % 41.52/41.71 (define @t1063 () (or @t204 @t919 @t918 @t870 @t1062)) % 41.52/41.71 (define @t1064 () (forall @t131 (or (not @t203) @t219))) % 41.52/41.71 (define @t1065 () (or @t204 @t919 @t918 @t870 @t1064)) % 41.52/41.71 (define @t1066 () (tptp.one_sorted_str @t906)) % 41.52/41.71 (define @t1067 () (or @t954 @t1066)) % 41.52/41.71 (define @t1068 () (tptp.is_eventually_in @t906 @t905 @t965)) % 41.52/41.71 (define @t1069 () (not @t1068)) % 41.52/41.71 (define @t1070 () (not @t1066)) % 41.52/41.71 (define @t1071 () (or @t957 @t1070 @t952 @t951 @t949 @t947 @t1069 @t967)) % 41.52/41.71 (define @t1072 () (or @t968 @t1068)) % 41.52/41.71 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 41.52/41.71 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 41.52/41.71 (assume @p3 (forall @t19 (=> @t18 (=> @t15 (= @t11 (tptp.net_str_of @t1 @t14 @t13 @t12)))))) % 41.52/41.71 (assume @p4 (forall @t19 (=> @t22 @t21))) % 41.52/41.71 (assume @p5 (forall @t19 (=> @t24 (not @t23)))) % 41.52/41.71 (assume @p6 (forall @t6 (=> @t28 (forall @t27 (=> @t26 @t25))))) % 41.52/41.71 (assume @p7 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t34) (and @t33 @t31 @t30 @t29))))) % 41.52/41.71 (assume @p8 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))))) % 41.52/41.71 (assume @p9 (forall @t6 (=> @t45 (forall @t27 (=> @t26 (and @t25 @t44)))))) % 41.52/41.71 (assume @p10 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t29) (and @t33 @t31 @t46))))) % 41.52/41.71 (assume @p11 (forall @t6 (=> @t48 (forall @t27 (=> @t26 (and @t25 @t44 @t47)))))) % 41.52/41.71 (assume @p12 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t46 @t30) (and @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))))) % 41.52/41.71 (assume @p13 (forall @t6 (=> @t51 (forall @t27 (=> @t26 (and @t25 @t44 @t50 @t47)))))) % 41.52/41.71 (assume @p14 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t29) (and @t33 @t31 @t40 @t38))))) % 41.52/41.71 (assume @p15 (forall @t6 (=> @t53 (forall @t27 (=> @t26 (and @t25 @t52 @t44 @t50 @t47)))))) % 41.52/41.71 (assume @p16 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t40 @t37 @t29) (and @t33 @t31 @t40 @t39 @t37))))) % 41.52/41.71 (assume @p17 (forall @t6 (=> @t54 (and @t28 @t45 @t48 @t51 @t53)))) % 41.52/41.71 (assume @p18 (forall @t6 (=> @t28 (forall @t27 (=> @t57 @t55))))) % 41.52/41.71 (assume @p19 (forall @t6 (=> @t45 (forall @t27 (=> @t57 (and @t55 @t58)))))) % 41.52/41.71 (assume @p20 (forall @t6 (=> @t48 (forall @t27 (=> @t57 (and @t55 @t58 @t59)))))) % 41.52/41.71 (assume @p21 (forall @t6 (=> @t51 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60)))))) % 41.52/41.71 (assume @p22 (forall @t6 (=> @t64 (forall @t27 (=> @t26 (and @t63 @t62 @t61)))))) % 41.52/41.71 (assume @p23 (forall @t6 (=> @t54 @t65))) % 41.52/41.71 (assume @p24 (forall @t6 (=> @t67 @t66))) % 41.52/41.71 (assume @p25 (forall @t6 (=> @t54 @t68))) % 41.52/41.71 (assume @p26 (forall @t75 (=> @t74 (=> (and @t71 @t73) @t72)))) % 41.52/41.71 (assume @p27 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t86) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))))) % 41.52/41.71 (assume @p28 (forall @t6 (=> @t5 (=> @t39 @t33)))) % 41.52/41.71 (assume @p29 (forall @t6 (=> @t10 (=> @t88 @t87)))) % 41.52/41.71 (assume @p30 (forall @t6 (=> @t53 @t51))) % 41.52/41.71 (assume @p31 (forall @t6 (=> @t64 @t91))) % 41.52/41.71 (assume @p32 (forall @t6 (=> (and @t93 (tptp.symmetric @t1) @t94) (and @t93 @t92)))) % 41.52/41.71 (assume @p33 (forall @t6 (=> @t54 @t93))) % 41.52/41.71 (assume @p34 (forall @t75 (=> @t97 @t95))) % 41.52/41.71 (assume @p35 (forall @t6 (=> (and @t33 @t102 @t5) (forall @t27 (=> @t101 (and @t99 @t98)))))) % 41.52/41.71 (assume @p36 (forall @t6 (=> @t5 (=> @t103 (and @t33 @t39 @t38))))) % 41.52/41.71 (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))))) % 41.52/41.71 (assume @p38 (forall @t6 (=> @t5 (=> @t32 @t104)))) % 41.52/41.71 (assume @p39 (forall @t6 (=> @t53 (forall @t27 (=> @t57 (and @t55 @t58 @t59 @t60 (tptp.v5_membered @t11))))))) % 41.52/41.71 (assume @p40 (forall @t6 (=> (and @t54 @t64) @t106))) % 41.52/41.71 (assume @p41 (forall @t6 (=> @t65 (forall @t27 (=> @t57 @t107))))) % 41.52/41.71 (assume @p42 (forall @t6 (=> @t66 @t67))) % 41.52/41.71 (assume @p43 (forall @t6 (=> @t110 @t109))) % 41.52/41.71 (assume @p44 (forall @t75 (=> @t74 (=> @t113 @t112)))) % 41.52/41.71 (assume @p45 (forall @t6 (=> @t5 (=> @t38 @t33)))) % 41.52/41.71 (assume @p46 (forall @t6 (=> @t10 (=> @t87 @t88)))) % 41.52/41.71 (assume @p47 (forall @t6 (=> @t51 @t48))) % 41.52/41.71 (assume @p48 (forall @t6 (=> @t91 @t64))) % 41.52/41.71 (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))))) % 41.52/41.71 (assume @p50 (forall @t6 (=> @t5 (=> @t115 (and @t33 @t31 @t41 @t40 @t34))))) % 41.52/41.71 (assume @p51 (forall @t6 (=> @t5 (=> @t116 @t33)))) % 41.52/41.71 (assume @p52 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t106))) % 41.52/41.71 (assume @p53 (forall @t75 (=> @t74 (=> @t112 @t113)))) % 41.52/41.71 (assume @p54 (forall @t6 (=> @t10 (=> @t118 @t117)))) % 41.52/41.71 (assume @p55 (forall @t6 (=> @t48 @t45))) % 41.52/41.71 (assume @p56 (forall @t6 (=> @t54 @t119))) % 41.52/41.71 (assume @p57 (forall @t6 (=> @t5 (=> (and @t33 @t114 @t31) (and @t33 @t31 @t120))))) % 41.52/41.71 (assume @p58 (forall @t6 (=> @t5 (=> @t103 (and @t33 @t49))))) % 41.52/41.71 (assume @p59 (forall @t6 (=> @t5 (=> (and @t33 @t31) (and @t33 @t116))))) % 41.52/41.71 (assume @p60 (forall @t19 (=> @t128 (=> (and @t125 @t127 @t126 @t123) (and @t125 @t124 @t123 @t122 @t121))))) % 41.52/41.71 (assume @p61 (forall @t6 (=> @t10 (=> @t117 @t118)))) % 41.52/41.71 (assume @p62 (forall @t6 (=> @t45 @t28))) % 41.52/41.71 (assume @p63 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t129) (and @t33 @t31 @t30 @t120))))) % 41.52/41.71 (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))))) % 41.52/41.71 (assume @p65 (forall @t6 (=> @t5 (=> @t49 @t130)))) % 41.52/41.71 (assume @p66 (forall @t19 (=> @t133 (forall @t131 (=> @t74 (=> @t72 (and @t71 @t73 @t70))))))) % 41.52/41.71 (assume @p67 (forall @t6 (=> @t10 (=> @t137 (and @t33 @t135 @t78 @t77 @t76 @t134))))) % 41.52/41.71 (assume @p68 (forall @t6 (=> @t5 (=> @t115 (and @t33 @t31 @t102))))) % 41.52/41.71 (assume @p69 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t31 @t41 @t40 @t39 @t38))))) % 41.52/41.71 (assume @p70 (forall @t6 (=> @t5 (=> (and @t31 @t41 @t40 @t39 @t46 @t30 @t120) (and @t33 @t31 @t41 @t40 @t39 @t46 @t129))))) % 41.52/41.71 (assume @p71 (forall @t6 (=> @t5 (=> @t130 @t49)))) % 41.52/41.71 (assume @p72 (forall @t19 (=> @t141 (forall @t131 (=> @t74 (=> @t72 (and @t71 (not @t139) @t73 @t70))))))) % 41.52/41.71 (assume @p73 (forall @t6 (=> @t10 (=> (and @t33 @t135 @t76 @t134) @t137)))) % 41.52/41.71 (assume @p74 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t36))))) % 41.52/41.71 (assume @p75 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t34 @t102) (and @t33 @t31 @t41 @t40 @t102 @t120))))) % 41.52/41.71 (assume @p76 (forall @t6 (=> @t10 (=> (and @t33 @t79 @t135) (and @t33 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t142))))) % 41.52/41.71 (assume @p77 (forall @t6 (=> @t5 (=> @t138 (and @t33 @t37))))) % 41.52/41.71 (assume @p78 (forall @t6 (=> @t146 (forall @t27 (=> @t145 (=> @t143 (and @t144 @t143))))))) % 41.52/41.71 (assume @p79 (forall @t6 (=> @t5 (=> @t43 (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t147))))) % 41.52/41.71 (assume @p80 (forall @t6 (=> @t5 (=> (and @t31 @t39 @t30) (and @t33 @t31 @t39 @t37))))) % 41.52/41.71 (assume @p81 (forall @t6 (=> @t5 (=> (and @t33 @t31 @t41 @t40 @t39 @t38 @t49 @t36 @t147) (and @t33 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t147 @t42))))) % 41.52/41.71 (assume @p82 (forall @t75 (=> @t151 (= @t148 (tptp.unordered_pair_as_carrier_subset @t1 @t69 @t11))))) % 41.52/41.71 (assume @p83 (forall @t19 (= @t152 (tptp.unordered_pair @t11 @t1)))) % 41.52/41.71 (assume @p84 (forall @t19 (= @t154 @t153))) % 41.52/41.71 (assume @p85 (forall @t75 (=> @t157 (= @t155 (tptp.join_commut @t1 @t69 @t11))))) % 41.52/41.71 (assume @p86 (forall @t19 (= @t159 @t158))) % 41.52/41.71 (assume @p87 (forall @t75 (=> @t162 (= @t160 (tptp.meet_commut @t1 @t69 @t11))))) % 41.52/41.71 (assume @p88 (forall @t75 (=> @t165 (= @t163 (tptp.subset_union2 @t1 @t69 @t11))))) % 41.52/41.71 (assume @p89 (forall @t75 (=> @t165 (= @t166 (tptp.subset_intersection2 @t1 @t69 @t11))))) % 41.52/41.71 (assume @p90 (forall @t19 (=> @t168 (or @t167 (tptp.ordinal_subset @t11 @t1))))) % 41.52/41.71 (assume @p91 (forall @t19 (=> @t177 (= @t176 (forall @t174 (= @t173 (and @t171 @t170))))))) % 41.52/41.71 (assume @p92 (forall @t19 (= @t180 (and @t179 @t178)))) % 41.52/41.71 (assume @p93 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (=> @t188 (= (= @t69 @t187) (and @t186 @t185)))))))) % 41.52/41.71 (assume @p94 (forall @t6 (=> @t17 (= @t190 (tptp.identity_as_relation_of @t3))))) % 41.52/41.71 (assume @p95 (forall @t6 (=> @t93 (forall @t189 (=> @t95 (= (= @t69 @t197) (forall @t196 (= @t195 (and @t194 @t193))))))))) % 41.52/41.71 (assume @p96 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (= @t203 (exists @t184 (and @t202 (forall @t201 (=> @t200 (=> @t199 @t198)))))))))))) % 41.52/41.71 (assume @p97 (forall @t6 (=> @t5 (= @t208 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 41.52/41.71 (assume @p98 (forall @t6 (=> @t214 (forall @t189 (= @t213 (forall @t184 (= @t211 (exists @t201 (and (tptp.in @t191 @t210) @t209 (= @t169 (tptp.apply @t1 @t191))))))))))) % 41.52/41.71 (assume @p99 (forall @t19 (=> @t177 (forall @t131 (=> @t95 (= (= @t69 @t216) (forall @t196 (= @t195 (and @t215 (tptp.in @t192 @t11)))))))))) % 41.52/41.71 (assume @p100 (forall @t6 (=> @t93 (= @t218 (tptp.is_antisymmetric_in @t1 @t217))))) % 41.52/41.71 (assume @p101 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (= @t219 (forall @t184 (=> @t202 (exists @t201 (and @t200 @t199 @t198))))))))))) % 41.52/41.71 (assume @p102 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t233 (= @t230 (exists @t184 (and @t229 (tptp.quasi_total @t169 @t221 @t14) (tptp.relation_of2_as_subset @t169 @t221 @t14) (= @t228 (tptp.function_of_composition @t221 @t14 @t3 @t169 @t12)) (forall @t201 (=> @t200 (exists @t227 (and @t226 (forall @t225 (=> @t224 (=> @t223 (tptp.related @t11 @t191 (tptp.apply_on_set_and_struct @t221 @t11 @t169 @t220))))))))))))))))))) % 41.52/41.71 (assume @p103 (forall @t6 (=> @t214 (forall @t189 (= @t238 (forall @t184 (= @t211 (and @t237 (tptp.in @t236 @t11))))))))) % 41.52/41.71 (assume @p104 (forall @t6 (=> @t241 (= @t78 (exists @t27 (and @t150 @t240)))))) % 41.52/41.71 (assume @p105 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (forall @t131 (=> @t244 (= (= @t69 @t243) (forall @t184 (=> (tptp.in @t169 @t3) (= @t211 (forall @t201 (=> @t242 (not (and (tptp.open_subset @t191 @t1) (tptp.in @t169 @t191) (tptp.disjoint @t11 @t191)))))))))))))))) % 41.52/41.71 (assume @p106 (forall @t6 (=> @t93 (forall @t189 (= @t213 (forall @t184 (= @t211 (exists @t201 (and (tptp.in @t246 @t1) @t209))))))))) % 41.52/41.71 (assume @p107 (forall @t6 (=> @t5 (forall @t27 (=> @t247 (= @t145 (and (tptp.subset @t14 @t3) (tptp.subset @t13 @t2)))))))) % 41.52/41.71 (assume @p108 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t174 (=> (and @t251 (tptp.subnetstr @t169 @t1 @t11)) (= @t250 (and (tptp.full_subrelstr @t169 @t11) (tptp.subrelstr @t169 @t11) (= @t248 (tptp.function_invverse_img_as_carrier_subset @t11 @t1 @t12 @t69))))))))))) % 41.52/41.71 (assume @p109 (forall @t6 (=> @t93 (forall @t189 (= @t238 (forall @t184 (= @t211 (exists @t201 (and @t193 @t209))))))))) % 41.52/41.71 (assume @p110 (forall @t6 (=> @t93 (= @t252 (tptp.is_connected_in @t1 @t217))))) % 41.52/41.71 (assume @p111 (forall @t6 (=> @t5 (forall @t27 (=> @t145 (= @t143 (= @t13 (tptp.relation_restriction_as_relation_of @t2 @t14)))))))) % 41.52/41.71 (assume @p112 (forall @t6 (=> @t254 (forall @t27 (=> @t150 (forall @t131 (= @t253 (forall @t184 (=> @t183 (=> @t211 (tptp.below @t1 @t11 @t169))))))))))) % 41.52/41.71 (assume @p113 (forall @t6 (=> @t241 (=> @t78 (forall @t27 (=> @t150 (= (= @t11 @t255) @t240))))))) % 41.52/41.71 (assume @p114 (forall @t6 (=> @t93 (= @t94 (tptp.is_transitive_in @t1 @t217))))) % 41.52/41.71 (assume @p115 (forall @t6 (=> @t254 (forall @t27 (=> @t150 (forall @t131 (= (tptp.latt_element_smaller @t1 @t11 @t69) (forall @t184 (=> @t183 (=> @t211 (tptp.below @t1 @t169 @t11))))))))))) % 41.52/41.71 (assume @p116 @t272) % 41.52/41.71 (assume @p117 (forall @t6 (=> @t214 (forall @t189 (= (tptp.apply_binary @t1 @t11 @t69) (tptp.apply @t1 @t273)))))) % 41.52/41.71 (assume @p118 (forall @t6 (=> @t270 (forall @t27 (=> @t150 (forall @t131 (=> @t244 (= @t275 (tptp.in @t11 @t274))))))))) % 41.52/41.71 (assume @p119 (forall @t278 (= (= @t169 (tptp.unordered_triple @t1 @t11 @t69)) (forall @t201 (= @t277 (not (and (not (= @t191 @t1)) (not (= @t191 @t11)) (not @t276)))))))) % 41.52/41.71 (assume @p120 (forall @t6 (= @t65 (exists @t27 (and @t177 @t125 (= @t280 @t1) (tptp.in @t279 tptp.omega)))))) % 41.52/41.71 (assume @p121 (forall @t6 (= @t68 (forall @t283 (=> (and @t282 @t281) @t170))))) % 41.52/41.71 (assume @p122 (forall @t75 (=> @t288 (and (=> (=> @t286 @t285) (= @t70 (= @t1 @t287))) (=> @t286 (or @t285 (= @t70 @t284))))))) % 41.52/41.71 (assume @p123 (forall @t19 (=> (and (tptp.strict_latt_str @t11) @t291) (= (= @t11 @t290) (and (= @t14 @t56) (forall @t131 (=> @t164 (forall @t184 (=> @t289 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t69 @t169) (tptp.subset_union2 @t1 @t69 @t169)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t69 @t169) (tptp.subset_intersection2 @t1 @t69 @t169)))))))))))) % 41.52/41.71 (assume @p124 (forall @t6 (=> @t293 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t292 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t69))))))))) % 41.52/41.71 (assume @p125 (forall @t6 (=> @t296 (forall @t27 (= (= @t11 (tptp.pair_first @t1)) (forall @t174 (=> @t295 @t294))))))) % 41.52/41.71 (assume @p126 (forall @t6 (= @t298 (tptp.set_union2 @t1 @t297)))) % 41.52/41.71 (assume @p127 (forall @t6 (=> @t245 (= @t269 (and (tptp.in @t3 @t299) (forall @t27 (=> @t303 (=> (tptp.subset @t11 @t299) (tptp.in @t301 @t299)))) (forall @t27 (=> @t101 (forall @t131 (=> @t244 (=> (and @t300 (tptp.in @t69 @t299)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t69) @t299))))))))))) % 41.52/41.71 (assume @p128 (forall @t6 (= @t93 (forall @t27 (not (and @t20 (forall @t174 (not (= @t11 @t172))))))))) % 41.52/41.71 (assume @p129 (forall @t6 (=> @t93 (forall @t27 (= @t305 (forall @t131 (=> @t304 (tptp.in (tptp.ordered_pair @t69 @t69) @t1)))))))) % 41.52/41.71 (assume @p130 (forall @t75 (= @t74 (tptp.subset @t69 @t96)))) % 41.52/41.71 (assume @p131 (forall @t19 (and (=> @t309 (= @t306 (forall @t131 (= @t304 (forall @t184 (=> @t308 @t307)))))) (=> @t285 (= @t306 @t286))))) % 41.52/41.71 (assume @p132 (forall @t6 (=> @t17 (= @t32 @t310)))) % 41.52/41.71 (assume @p133 (forall @t19 (= (= @t11 @t297) (forall @t131 (= @t304 (= @t69 @t1)))))) % 41.52/41.71 (assume @p134 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t312 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t311)))))))) % 41.52/41.71 (assume @p135 (forall @t6 (=> @t245 (forall @t27 (=> @t303 (= @t314 (forall @t131 (=> @t244 (=> @t304 @t313))))))))) % 41.52/41.71 (assume @p136 (forall @t6 (=> @t5 (forall @t27 (=> @t101 (= @t99 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (not (and @t304 @t194 (forall @t201 (=> @t316 (not (and @t209 (tptp.related @t1 @t69 @t191) @t315)))))))))))))))) % 41.52/41.71 (assume @p137 (forall @t6 (=> @t93 (forall @t189 (= (= @t69 (tptp.fiber @t1 @t11)) (forall @t184 (= @t211 (and (not @t317) (tptp.in (tptp.ordered_pair @t169 @t11) @t1))))))))) % 41.52/41.71 (assume @p138 (forall @t19 (=> @t177 (= (= @t11 @t320) (and (= @t319 @t1) (forall @t174 (=> (and @t171 @t308) (= @t173 @t318)))))))) % 41.52/41.71 (assume @p139 (forall @t6 (= @t285 (forall @t27 @t21)))) % 41.52/41.71 (assume @p140 (forall @t6 (= @t322 (tptp.rel_str_of @t1 @t321)))) % 41.52/41.71 (assume @p141 (forall @t19 (= (= @t11 @t56) (forall @t131 (= @t304 (tptp.subset @t69 @t1)))))) % 41.52/41.71 (assume @p142 (forall @t6 (=> @t5 (forall @t27 (=> @t101 (= @t324 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (=> (and @t304 @t323) @t194))))))))))) % 41.52/41.71 (assume @p143 (forall @t6 (=> @t254 (=> @t326 (forall @t189 (=> @t149 (= (= @t69 @t325) (and (tptp.latt_element_smaller @t1 @t69 @t11) (forall @t184 (=> @t183 (=> (tptp.latt_element_smaller @t1 @t169 @t11) (tptp.below @t1 @t69 @t169)))))))))))) % 41.52/41.71 (assume @p144 (forall @t6 (=> @t254 (forall @t27 (= @t327 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 41.52/41.71 (assume @p145 (forall @t6 (= (tptp.centered @t1) (and @t309 (forall @t27 (not (and @t329 @t178 @t107 (= @t328 tptp.empty_set)))))))) % 41.52/41.71 (assume @p146 (forall @t6 (=> @t332 (= @t331 (tptp.rel_str_of @t3 @t330))))) % 41.52/41.71 (assume @p147 (forall @t6 (=> @t241 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t239 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t69))))))))) % 41.52/41.71 (assume @p148 (forall @t6 (=> @t296 (forall @t27 (= (= @t11 (tptp.pair_second @t1)) (forall @t174 (=> @t295 @t333))))))) % 41.52/41.71 (assume @p149 (forall @t6 (= @t90 (forall @t27 (=> @t20 @t178))))) % 41.52/41.71 (assume @p150 (forall @t6 (=> @t17 (= @t334 tptp.empty_set)))) % 41.52/41.71 (assume @p151 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= @t180 (forall @t174 (= @t335 @t173)))))))) % 41.52/41.71 (assume @p152 (forall @t19 (and (=> @t140 (= @t26 @t20)) (=> @t54 (= @t26 @t132))))) % 41.52/41.71 (assume @p153 (forall @t75 (= (= @t69 @t152) (forall @t184 (= @t211 (or (= @t169 @t1) @t317)))))) % 41.52/41.71 (assume @p154 (forall @t19 (=> @t26 (= (tptp.proper_element @t11 @t1) (not @t337))))) % 41.52/41.71 (assume @p155 (forall @t6 (=> @t245 (forall @t27 (=> @t303 (= @t339 @t338)))))) % 41.52/41.71 (assume @p156 (forall @t6 (=> @t93 (= @t340 (forall @t27 (not (and (tptp.subset @t11 @t217) @t329 (forall @t131 (not (and @t304 (tptp.disjoint (tptp.fiber @t1 @t69) @t11))))))))))) % 41.52/41.71 (assume @p157 (forall @t75 (= (= @t69 @t154) (forall @t184 (= @t211 (or @t308 @t194)))))) % 41.52/41.71 (assume @p158 (forall @t6 (=> @t5 (= @t41 @t343)))) % 41.52/41.71 (assume @p159 (forall @t6 (= @t344 (tptp.poset_of_lattice @t290)))) % 41.52/41.71 (assume @p160 (forall @t75 (= (= @t69 @t96) (forall @t184 (= @t211 (exists @t347 (and @t215 @t346 (= @t169 @t345)))))))) % 41.52/41.71 (assume @p161 (forall @t6 (=> @t245 (= @t352 (forall @t27 (=> @t303 (not (and @t351 @t314 (forall @t131 (=> @t350 (not (and @t349 (tptp.is_a_cover_of_carrier @t1 @t69) @t348)))))))))))) % 41.52/41.71 (assume @p162 (forall @t6 (=> @t332 (forall @t27 (=> @t150 (= @t353 @t11)))))) % 41.52/41.71 (assume @p163 (forall @t6 (=> @t293 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t354 (= @t292 @t69))))))))) % 41.52/41.71 (assume @p164 (forall @t6 (= @t89 (forall @t189 (not (and @t20 @t171 (not @t357) @t356 @t355)))))) % 41.52/41.71 (assume @p165 (forall @t6 (=> @t17 (= @t358 @t3)))) % 41.52/41.71 (assume @p166 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= @t179 (forall @t174 (=> @t335 @t173)))))))) % 41.52/41.71 (assume @p167 (forall @t19 (= @t179 @t359))) % 41.52/41.71 (assume @p168 (forall @t6 (=> @t93 (forall @t27 (= @t361 (forall @t131 (not (and @t349 @t360 (forall @t184 (not (and @t211 (tptp.disjoint (tptp.fiber @t1 @t169) @t69)))))))))))) % 41.52/41.71 (assume @p169 (forall @t75 (= (= @t69 @t159) (forall @t184 (= @t211 (and @t308 @t194)))))) % 41.52/41.71 (assume @p170 (forall @t6 (=> @t214 (forall @t189 (and (=> @t364 (= @t363 @t282)) (=> (not @t364) (= @t363 @t284))))))) % 41.52/41.71 (assume @p171 (forall @t6 (=> @t332 (forall @t27 (=> @t367 (= @t365 @t11)))))) % 41.52/41.71 (assume @p172 (forall @t6 (= @t64 @t91))) % 41.52/41.71 (assume @p173 (forall @t6 (=> @t93 (forall @t27 (= (= @t11 @t210) (forall @t131 (= @t304 (exists @t184 @t335)))))))) % 41.52/41.71 (assume @p174 (forall @t6 (=> @t93 (forall @t27 (= @t369 (forall @t174 (=> (and @t304 @t194 @t335 @t368) @t170))))))) % 41.52/41.71 (assume @p175 (forall @t6 (= @t370 @t1))) % 41.52/41.71 (assume @p176 (forall @t19 (= @t337 (forall @t131 (= @t304 (exists @t184 (and @t307 @t308))))))) % 41.52/41.71 (assume @p177 (forall @t6 (=> @t93 (= @t371 (and @t92 @t94 @t218 @t252 @t340))))) % 41.52/41.71 (assume @p178 (forall @t19 (= @t375 (exists @t131 (and @t95 @t71 @t111 @t374 (= @t372 @t11)))))) % 41.52/41.71 (assume @p179 (forall @t75 (= (= @t69 @t376) (forall @t184 (= @t211 (and @t308 (not @t194))))))) % 41.52/41.71 (assume @p180 (forall @t6 (=> @t5 (= @t46 (exists @t27 (and @t150 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 41.52/41.71 (assume @p181 (forall @t6 (=> @t214 (forall @t27 (= @t379 (forall @t131 (= @t304 (exists @t184 @t377)))))))) % 41.52/41.71 (assume @p182 (forall @t6 (=> @t5 (= @t41 (tptp.is_transitive_in @t2 @t3))))) % 41.52/41.71 (assume @p183 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t380 @t64 (forall @t27 (=> @t61 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t179))))))) % 41.52/41.71 (assume @p184 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t381 @t300)))))) % 41.52/41.71 (assume @p185 (forall @t6 (=> @t93 (forall @t27 (= @t379 (forall @t131 (= @t304 (exists @t184 @t368)))))))) % 41.52/41.71 (assume @p186 (forall @t19 (=> @t57 (= @t382 @t376)))) % 41.52/41.71 (assume @p187 (forall @t19 (= @t383 (tptp.unordered_pair @t152 @t297)))) % 41.52/41.71 (assume @p188 (forall @t6 (=> @t93 (forall @t27 (= (tptp.well_orders @t1 @t11) (and @t305 @t385 @t369 @t384 @t361)))))) % 41.52/41.71 (assume @p189 (forall @t6 (=> (and @t33 @t5) (= (tptp.directed_relstr @t1) (forall @t27 (=> @t150 (forall @t131 (=> @t149 (exists @t184 (and @t183 @t341 @t323)))))))))) % 41.52/41.71 (assume @p190 (forall @t6 (=> @t5 (= @t40 (tptp.is_antisymmetric_in @t2 @t3))))) % 41.52/41.71 (assume @p191 (forall @t6 (= @t380 (= @t1 @t336)))) % 41.52/41.71 (assume @p192 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t387 (tptp.open_subset @t386 @t1))))))) % 41.52/41.71 (assume @p193 (forall @t6 (=> @t93 (= @t217 (tptp.set_union2 @t210 @t378))))) % 41.52/41.71 (assume @p194 (forall @t6 (=> @t93 (forall @t27 (= @t384 (forall @t174 (not (and @t304 @t194 (not @t170) (not @t335) (not @t368))))))))) % 41.52/41.71 (assume @p195 (forall @t6 (=> @t93 (forall @t27 (= @t389 (tptp.set_intersection2 @t1 @t388)))))) % 41.52/41.71 (assume @p196 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= (= @t11 @t390) (forall @t174 (= @t173 @t368)))))))) % 41.52/41.71 (assume @p197 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (=> @t394 (forall @t184 (=> (and @t251 (tptp.net_str @t169 @t1)) (= (= @t169 @t393) (and (forall @t201 (= (tptp.in @t191 @t248) (exists @t227 (and @t392 @t391 (tptp.related @t11 @t69 @t222))))) (= (tptp.the_InternalRel @t169) (tptp.relation_restriction_as_relation_of @t13 @t248)) (= (tptp.the_mapping @t1 @t169) (tptp.partfun_dom_restriction @t14 @t3 @t12 @t248))))))))))))) % 41.52/41.71 (assume @p198 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t398 (= @t397 (and (= @t373 @t217) (= @t372 @t319) @t111 (forall @t196 (= @t193 (and (tptp.in @t169 @t217) (tptp.in @t191 @t217) (tptp.in (tptp.ordered_pair @t396 @t395) @t11))))))))))))) % 41.52/41.71 (assume @p199 (forall @t19 (= @t399 (= @t159 tptp.empty_set)))) % 41.52/41.71 (assume @p200 (forall @t6 (=> @t5 (forall @t27 (= @t404 (exists @t131 (and @t149 @t403 @t402 (forall @t184 (=> @t183 (=> (and @t401 (forall @t201 (=> @t316 (=> (tptp.relstr_set_smaller @t1 @t11 @t191) @t315)))) @t400)))))))))) % 41.52/41.71 (assume @p201 (forall @t6 (=> @t332 (= @t405 (tptp.a_1_0_filter_1 @t1))))) % 41.52/41.71 (assume @p202 (forall @t6 (=> @t214 (= @t108 (forall @t189 (=> (and @t364 (tptp.in @t69 @t210) (= @t362 (tptp.apply @t1 @t69))) @t294)))))) % 41.52/41.71 (assume @p203 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (= @t186 (forall @t184 (=> @t183 (=> @t194 @t323))))))))) % 41.52/41.71 (assume @p204 (forall @t6 (=> @t254 (= @t81 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= (tptp.join @t1 @t239 @t69) @t69))))))))) % 41.52/41.71 (assume @p205 (forall @t6 (=> @t17 (forall @t27 (=> @t303 (= @t351 (= @t358 @t301))))))) % 41.52/41.71 (assume @p206 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t95 (= (= @t69 @t406) (forall @t196 (= @t195 (exists @t227 (and (tptp.in (tptp.ordered_pair @t169 @t222) @t1) (tptp.in (tptp.ordered_pair @t222 @t191) @t11))))))))))))) % 41.52/41.71 (assume @p207 (forall @t6 (=> @t93 (forall @t27 (= @t385 (forall @t407 (=> (and @t304 @t194 @t209 @t335 @t193) (tptp.in (tptp.ordered_pair @t69 @t191) @t1)))))))) % 41.52/41.71 (assume @p208 (forall @t19 (=> @t410 (forall @t131 (=> (tptp.element @t69 @t409) (= (= @t69 @t408) (forall @t184 (=> @t289 (= @t211 (tptp.in (tptp.subset_complement @t1 @t169) @t11)))))))))) % 41.52/41.71 (assume @p209 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (=> @t394 (= @t411 (tptp.apply_on_structs @t11 @t1 @t12 @t69))))))))) % 41.52/41.71 (assume @p210 (forall @t19 (= @t24 (and @t179 @t412)))) % 41.52/41.71 (assume @p211 (forall @t6 (=> @t5 (forall @t27 (= @t188 (exists @t131 (and @t149 @t186 @t185 (forall @t184 (=> @t183 (=> (and @t182 (forall @t201 (=> @t316 (=> (tptp.relstr_element_smaller @t1 @t11 @t191) (tptp.related @t1 @t191 @t169))))) @t400)))))))))) % 41.52/41.71 (assume @p212 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t231 (= @t414 (and @t413 (= @t228 (tptp.relation_dom_restr_as_relation_of @t14 @t3 @t12 @t221))))))))))) % 41.52/41.71 (assume @p213 (forall @t6 (=> @t214 (=> @t108 (= @t415 @t390))))) % 41.52/41.71 (assume @p214 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (= @t403 (forall @t184 (=> @t183 (=> @t194 @t181))))))))) % 41.52/41.71 (assume @p215 (forall @t6 (=> @t5 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t342 (tptp.in @t273 @t2))))))))) % 41.52/41.71 (assume @p216 (forall @t6 (=> @t93 (= @t92 (tptp.is_reflexive_in @t1 @t217))))) % 41.52/41.71 (assume @p217 @t426) % 41.52/41.71 (assume @p218 (forall @t6 (=> @t5 (forall @t189 (=> @t149 (=> @t404 (= (= @t69 @t427) (and @t403 @t402)))))))) % 41.52/41.71 (assume @p219 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t414 (= @t428 (and (tptp.full_subrelstr @t69 @t11) @t413))))))))) % 41.52/41.71 (assume @p220 (forall @t19 (=> @t128 (and @t430 (tptp.rel_str @t429))))) % 41.52/41.71 (assume @p221 (forall @t278 (=> @t436 (and @t432 (tptp.net_str @t431 @t1))))) % 41.52/41.71 (assume @p222 (forall @t75 (=> @t444 (and @t438 (tptp.latt_str @t437))))) % 41.52/41.71 (assume @p223 (forall @t278 (=> @t448 (tptp.element @t446 (tptp.the_carrier @t445))))) % 41.52/41.71 (assume @p224 true) % 41.52/41.71 (assume @p225 @t451) % 41.52/41.71 (assume @p226 (forall @t19 (=> @t254 (tptp.element @t325 @t3)))) % 41.52/41.71 (assume @p227 (forall @t19 (=> @t254 (tptp.element @t327 @t3)))) % 41.52/41.71 (assume @p228 (forall @t278 (=> @t454 (tptp.element @t452 @t96)))) % 41.52/41.71 (assume @p229 (forall @t6 (and @t455 (tptp.latt_str @t290)))) % 41.52/41.71 (assume @p230 (forall @t75 (=> (and @t33 @t156 @t150 @t149) (tptp.element @t292 @t3)))) % 41.52/41.71 (assume @p231 (forall @t6 (tptp.element @t456 @t409))) % 41.52/41.71 (assume @p232 (forall @t6 (=> @t17 (tptp.element @t334 @t100)))) % 41.52/41.71 (assume @p233 (forall @t19 (=> @t93 (tptp.relation_of2_as_subset @t457 @t11 @t11)))) % 41.52/41.71 (assume @p234 (forall @t19 (=> @t458 (tptp.element @t312 @t100)))) % 41.52/41.71 (assume @p235 (forall @t278 (=> @t463 (tptp.element @t459 @t14)))) % 41.52/41.71 (assume @p236 (forall @t6 (tptp.relation @t320))) % 41.52/41.71 (assume @p237 (forall @t19 (=> @t5 (tptp.element @t427 @t3)))) % 41.52/41.71 (assume @p238 (forall @t6 (and (tptp.reflexive @t321) (tptp.antisymmetric @t321) (tptp.transitive @t321) (tptp.v1_partfun1 @t321 @t1 @t1) (tptp.relation_of2_as_subset @t321 @t1 @t1)))) % 41.52/41.71 (assume @p239 (forall @t466 (=> @t465 (tptp.element @t464 @t69)))) % 41.52/41.71 (assume @p240 (forall @t6 (=> @t214 (and (tptp.relation @t415) (tptp.function @t415))))) % 41.52/41.71 (assume @p241 (forall @t6 (=> @t332 (and (tptp.reflexive @t330) (tptp.antisymmetric @t330) (tptp.transitive @t330) (tptp.v1_partfun1 @t330 @t3 @t3) (tptp.relation_of2_as_subset @t330 @t3 @t3))))) % 41.52/41.71 (assume @p242 (forall @t75 (=> (and @t33 @t161 @t150 @t149) (tptp.element @t239 @t3)))) % 41.52/41.71 (assume @p243 (forall @t278 (=> @t468 (and (tptp.function @t467) (tptp.relation_of2_as_subset @t467 @t1 @t11))))) % 41.52/41.71 (assume @p244 (forall @t6 (=> @t17 (tptp.element @t358 @t100)))) % 41.52/41.71 (assume @p245 (forall @t75 (=> @t151 (tptp.element @t148 @t100)))) % 41.52/41.71 (assume @p246 (forall @t6 (tptp.element @t370 @t56))) % 41.52/41.71 (assume @p247 (forall @t19 (=> @t93 (tptp.relation @t389)))) % 41.52/41.71 (assume @p248 (forall @t19 (=> @t5 (tptp.element @t187 @t3)))) % 41.52/41.71 (assume @p249 (forall @t6 (and @t469 (tptp.rel_str @t322)))) % 41.52/41.71 (assume @p250 (forall @t6 (=> @t332 (and @t473 @t472 @t471 @t470 (tptp.rel_str @t331))))) % 41.52/41.71 (assume @p251 (forall @t75 (=> @t157 (tptp.element @t155 @t3)))) % 41.52/41.71 (assume @p252 (forall @t19 (=> @t57 (tptp.element @t382 @t56)))) % 41.52/41.71 (assume @p253 (forall @t75 (=> @t474 (tptp.element @t411 @t3)))) % 41.52/41.71 (assume @p254 (forall @t6 (=> @t5 (tptp.element @t208 @t3)))) % 41.52/41.71 (assume @p255 (forall @t6 (and @t475 (tptp.rel_str @t344)))) % 41.52/41.71 (assume @p256 (forall @t278 (=> @t480 (tptp.element @t476 @t14)))) % 41.52/41.71 (assume @p257 (forall @t19 (=> (and @t33 @t79 @t10 @t150) (tptp.element @t353 @t366)))) % 41.52/41.71 (assume @p258 (forall @t75 (=> @t162 (tptp.element @t160 @t3)))) % 41.52/41.71 (assume @p259 (forall @t6 (=> @t93 @t481))) % 41.52/41.71 (assume @p260 (forall @t75 (=> @t74 (tptp.element @t287 @t56)))) % 41.52/41.71 (assume @p261 (forall @t75 (=> @t165 (tptp.element @t163 @t56)))) % 41.52/41.71 (assume @p262 (forall @t19 (=> (and @t33 @t79 @t10 @t367) (tptp.element @t365 @t3)))) % 41.52/41.71 (assume @p263 (forall @t6 (=> @t241 (tptp.element @t255 @t3)))) % 41.52/41.71 (assume @p264 (forall @t278 (=> @t483 (tptp.element @t482 @t100)))) % 41.52/41.71 (assume @p265 (forall @t19 (=> @t485 @t484))) % 41.52/41.71 (assume @p266 (forall @t75 (=> @t74 (tptp.element @t487 @t486)))) % 41.52/41.71 (assume @p267 (forall @t19 (=> @t410 (tptp.element @t488 @t56)))) % 41.52/41.71 (assume @p268 (forall @t75 (=> @t165 (tptp.element @t166 @t56)))) % 41.52/41.71 (assume @p269 (forall @t75 (=> @t474 (and @t489 (tptp.net_str @t393 @t1))))) % 41.52/41.71 (assume @p270 (forall @t6 (and (tptp.v1_partfun1 @t490 @t1 @t1) (tptp.relation_of2_as_subset @t490 @t1 @t1)))) % 41.52/41.71 (assume @p271 (forall @t19 (=> @t458 (tptp.element @t243 @t100)))) % 41.52/41.71 (assume @p272 (forall @t6 @t491)) % 41.52/41.71 (assume @p273 (forall @t19 (=> @t410 (tptp.element @t492 @t56)))) % 41.52/41.71 (assume @p274 (forall @t75 (=> @t165 (tptp.element @t493 @t56)))) % 41.52/41.71 (assume @p275 (forall @t75 (=> @t18 (and @t494 (tptp.subnetstr @t249 @t1 @t11))))) % 41.52/41.71 (assume @p276 (forall @t499 (=> @t498 (and (tptp.function @t495) (tptp.quasi_total @t495 @t1 @t69) (tptp.relation_of2_as_subset @t495 @t1 @t69))))) % 41.52/41.71 (assume @p277 (forall @t6 (=> @t17 (and (tptp.function @t190) (tptp.quasi_total @t190 @t3 @t3) (tptp.relation_of2_as_subset @t190 @t3 @t3))))) % 41.52/41.71 (assume @p278 (forall @t19 (=> @t93 @t500))) % 41.52/41.71 (assume @p279 (forall @t19 (=> @t410 (tptp.element @t408 @t409)))) % 41.52/41.71 (assume @p280 (forall @t278 (=> @t502 (tptp.element @t501 @t14)))) % 41.52/41.71 (assume @p281 (forall @t19 (=> (and @t33 @t10 @t205 @t291) (and (tptp.strict_latt_str @t445) (tptp.latt_str @t445))))) % 41.52/41.71 (assume @p282 (forall @t278 (=> @t504 (tptp.element @t503 @t11)))) % 41.52/41.71 (assume @p283 (forall @t19 (=> @t177 @t505))) % 41.52/41.71 (assume @p284 (forall @t278 (=> @t74 (tptp.relation_of2_as_subset @t506 @t1 @t11)))) % 41.52/41.71 (assume @p285 (forall @t6 (=> @t332 (tptp.relation @t405)))) % 41.52/41.71 (assume @p286 (forall @t6 (=> @t161 @t17))) % 41.52/41.71 (assume @p287 (forall @t6 (=> @t5 @t17))) % 41.52/41.71 (assume @p288 @t507) % 41.52/41.71 (assume @p289 (forall @t6 (=> @t17 (forall @t27 (=> @t16 @t247))))) % 41.52/41.71 (assume @p290 (forall @t6 (=> @t156 @t17))) % 41.52/41.71 (assume @p291 (forall @t6 (=> @t10 (and @t161 @t156)))) % 41.52/41.71 (assume @p292 (forall @t19 (=> @t508 (forall @t131 (=> @t275 @t244))))) % 41.52/41.71 (assume @p293 (forall @t6 (=> @t5 (forall @t27 (=> @t145 @t247))))) % 41.52/41.71 (assume @p294 (forall @t19 (=> @t18 (forall @t131 (=> @t414 @t231))))) % 41.52/41.71 (assume @p295 (forall @t75 (=> @t288 @t97))) % 41.52/41.71 (assume @p296 (forall @t19 (=> @t509 (forall @t131 (=> @t230 @t233))))) % 41.52/41.71 (assume @p297 (forall @t6 (=> @t161 (and @t512 @t511 (tptp.relation_of2_as_subset @t7 @t510 @t3))))) % 41.52/41.71 (assume @p298 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 41.52/41.71 (assume @p299 (forall @t6 (=> @t245 (tptp.element @t299 @t302)))) % 41.52/41.71 (assume @p300 (forall @t19 (=> @t18 (and @t514 @t513 (tptp.relation_of2_as_subset @t12 @t14 @t3))))) % 41.52/41.71 (assume @p301 (forall @t6 (=> @t156 (and @t516 @t515 (tptp.relation_of2_as_subset @t8 @t510 @t3))))) % 41.52/41.71 (assume @p302 (exists @t6 @t161)) % 41.52/41.71 (assume @p303 (exists @t6 @t5)) % 41.52/41.71 (assume @p304 (exists @t6 @t245)) % 41.52/41.71 (assume @p305 (exists @t6 @t17)) % 41.52/41.71 (assume @p306 (forall @t6 (=> @t17 (exists @t27 @t16)))) % 41.52/41.71 (assume @p307 (exists @t6 @t156)) % 41.52/41.71 (assume @p308 (exists @t6 @t10)) % 41.52/41.71 (assume @p309 (forall @t19 (=> @t508 (exists @t131 @t275)))) % 41.52/41.71 (assume @p310 (forall @t19 (exists @t131 @t74))) % 41.52/41.71 (assume @p311 (forall @t6 (exists @t27 @t26))) % 41.52/41.71 (assume @p312 (forall @t6 (=> @t5 (exists @t27 @t145)))) % 41.52/41.71 (assume @p313 (forall @t19 (=> @t18 (exists @t131 @t414)))) % 41.52/41.71 (assume @p314 (forall @t19 (exists @t131 @t288))) % 41.52/41.71 (assume @p315 (forall @t19 (=> @t509 (exists @t131 @t230)))) % 41.52/41.71 (assume @p316 (forall @t19 (=> @t107 @t517))) % 41.52/41.71 (assume @p317 (forall @t19 (=> @t519 (and (tptp.empty @t518) (tptp.relation @t518))))) % 41.52/41.71 (assume @p318 (forall @t19 (=> @t65 @t517))) % 41.52/41.71 (assume @p319 (forall @t6 (=> @t54 (and (tptp.empty @t390) @t481)))) % 41.52/41.71 (assume @p320 (forall @t19 (=> @t65 (tptp.finite @t376)))) % 41.52/41.71 (assume @p321 (and @t522 @t521 @t520)) % 41.52/41.71 (assume @p322 (forall @t19 (=> (and @t93 @t68 @t107) (tptp.finite @t212)))) % 41.52/41.71 (assume @p323 (forall @t19 (=> @t524 (and @t500 (tptp.relation_empty_yielding @t197))))) % 41.52/41.71 (assume @p324 (forall @t6 (=> (and @t116 @t5) (and (not (tptp.empty @t2)) @t525)))) % 41.52/41.71 (assume @p325 (forall @t19 (=> @t526 (tptp.finite @t96)))) % 41.52/41.71 (assume @p326 (forall @t19 (=> (and @t33 @t17 @t205 @t16) (and (not (tptp.empty @t12)) (tptp.relation @t12) @t514 @t513)))) % 41.52/41.71 (assume @p327 (forall @t75 (=> (and @t17 @t144 @t16) (and (tptp.transitive_relstr @t249) @t494 (tptp.full_subnetstr @t249 @t1 @t11))))) % 41.52/41.71 (assume @p328 (forall @t6 (and @t527 (tptp.finite @t297)))) % 41.52/41.71 (assume @p329 (forall @t6 (and @t528 (tptp.cup_closed @t56) (tptp.diff_closed @t56) (tptp.preboolean @t56)))) % 41.52/41.71 (assume @p330 (forall @t19 (=> (and @t93 @t68 @t177 @t125) (and @t484 (tptp.function @t406))))) % 41.52/41.71 (assume @p331 (forall @t6 (and @t543 @t455 @t542 @t541 @t540 @t539 @t538 @t537 @t536 @t535 @t534 @t533 @t532 @t531 @t530 @t529 (tptp.complete_latt_str @t290)))) % 41.52/41.71 (assume @p332 (forall @t6 (and @t543 @t455))) % 41.52/41.71 (assume @p333 (forall @t19 (=> (and @t140 @t128) (and (not (tptp.empty_carrier @t429)) @t430)))) % 41.52/41.71 (assume @p334 (forall @t6 @t544)) % 41.52/41.71 (assume @p335 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 41.52/41.71 (assume @p336 (forall @t6 (=> @t17 (and (tptp.empty @t334) (tptp.v1_membered @t334) (tptp.v2_membered @t334) (tptp.v3_membered @t334) (tptp.v4_membered @t334) (tptp.v5_membered @t334))))) % 41.52/41.71 (assume @p337 (forall @t19 (=> @t485 (tptp.relation @t159)))) % 41.52/41.71 (assume @p338 (forall @t6 (=> @t207 (not @t310)))) % 41.52/41.71 (assume @p339 (forall @t6 @t528)) % 41.52/41.71 (assume @p340 (forall @t6 (and @t557 @t475 @t556 @t555 @t554 @t553 @t552 @t551 @t550 @t549 @t548 @t547 @t546 @t545))) % 41.52/41.71 (assume @p341 (forall @t6 (and @t557 @t475 @t556 @t555 @t554 @t550 @t549 @t548 @t547 @t546 @t561 @t545 @t560 @t559 @t558 @t553 @t552 @t551))) % 41.52/41.71 (assume @p342 @t522) % 41.52/41.71 (assume @p343 (forall @t19 (=> (tptp.relation_of2 @t11 @t297 @t297) (and (not (tptp.empty_carrier @t562)) (tptp.strict_rel_str @t562) (tptp.trivial_carrier @t562))))) % 41.52/41.71 (assume @p344 (forall @t6 (=> @t332 (and @t565 @t473 @t472 @t471 @t470 @t564 @t563)))) % 41.52/41.71 (assume @p345 (forall @t19 (not (tptp.empty @t383)))) % 41.52/41.71 (assume @p346 (forall @t75 (=> (and @t33 @t17 @t205 @t234 @t16 @t394) (and (not (tptp.empty_carrier @t393)) @t489)))) % 41.52/41.71 (assume @p347 (forall @t19 (=> @t28 @t566))) % 41.52/41.71 (assume @p348 (forall @t19 (=> @t28 @t567))) % 41.52/41.71 (assume @p349 (forall @t19 (=> @t45 (and @t566 @t568)))) % 41.52/41.71 (assume @p350 (forall @t6 (=> (and @t64 @t105) (and @t544 @t571 @t570 @t569 (tptp.natural @t298))))) % 41.52/41.71 (assume @p351 (forall @t19 (and @t572 (tptp.finite @t152)))) % 41.52/41.71 (assume @p352 (forall @t6 (and @t491 @t573))) % 41.52/41.71 (assume @p353 (forall @t6 (=> @t576 (and @t575 @t516 @t515 (tptp.v1_binop_1 @t8 @t3) @t574)))) % 41.52/41.71 (assume @p354 (forall @t6 (and @t543 @t455 @t542 @t541 @t540 @t539 @t538 @t537 @t536))) % 41.52/41.71 (assume @p355 (forall @t6 (=> (and @t31 @t41 @t40 @t5) (and @t525 (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 41.52/41.71 (assume @p356 (and @t521 @t520 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t522 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 41.52/41.71 (assume @p357 (forall @t6 (and @t491 @t573 (tptp.reflexive @t175) (tptp.symmetric @t175) (tptp.antisymmetric @t175) (tptp.transitive @t175)))) % 41.52/41.71 (assume @p358 (forall @t6 (=> @t207 (not (tptp.empty @t358))))) % 41.52/41.71 (assume @p359 (forall @t19 (=> @t485 (tptp.relation @t154)))) % 41.52/41.71 (assume @p360 (forall @t6 @t527)) % 41.52/41.71 (assume @p361 (forall @t19 (=> @t577 (tptp.closed_subset @t243 @t1)))) % 41.52/41.71 (assume @p362 (forall @t6 (=> @t140 (and @t557 (not (tptp.trivial_carrier @t344)) @t475 @t556 @t555 @t554 @t550 @t549 @t548 @t547 @t546 @t561 @t545 @t560 @t559 @t558 @t553 @t552 @t551)))) % 41.52/41.71 (assume @p363 (forall @t19 (=> @t140 (not (tptp.empty @t154))))) % 41.52/41.71 (assume @p364 (forall @t6 (=> (and @t33 @t79 @t77 @t10) (and @t565 @t473 @t472 @t471 @t470 @t578 @t564 @t563)))) % 41.52/41.71 (assume @p365 (forall @t19 (=> @t45 (and @t567 @t579)))) % 41.52/41.71 (assume @p366 (forall @t19 (=> @t48 (and @t566 @t568 @t580)))) % 41.52/41.71 (assume @p367 (forall @t19 (=> @t48 (and @t567 @t579 @t581)))) % 41.52/41.71 (assume @p368 (forall @t19 (=> @t51 (and @t566 @t568 @t580 @t582)))) % 41.52/41.71 (assume @p369 (forall @t19 (=> @t51 (and @t567 @t579 @t581 @t583)))) % 41.52/41.71 (assume @p370 (forall @t19 (=> @t53 (and @t566 @t568 @t580 @t582 (tptp.v5_membered @t159))))) % 41.52/41.71 (assume @p371 (forall @t19 (=> @t53 (and @t567 @t579 @t581 @t583 (tptp.v5_membered @t158))))) % 41.52/41.71 (assume @p372 (forall @t19 (=> @t28 @t584))) % 41.52/41.71 (assume @p373 (forall @t19 (=> @t45 (and @t584 @t585)))) % 41.52/41.71 (assume @p374 (forall @t19 (=> @t48 (and @t584 @t585 @t586)))) % 41.52/41.71 (assume @p375 (forall @t6 (=> @t109 (and @t481 (tptp.function @t390))))) % 41.52/41.71 (assume @p376 (forall @t6 (=> (and @t33 @t84 @t156) (and @t575 @t516 @t515 (tptp.v2_binop_1 @t8 @t3) @t574)))) % 41.52/41.71 (assume @p377 (forall @t6 (and @t543 @t455 @t542 @t541 @t540 @t539 @t538 @t537 @t536 @t535 @t534 @t533 @t532 @t531 @t530 @t529))) % 41.52/41.71 (assume @p378 (forall @t75 (=> (and @t140 @t125 @t443 @t442 @t71 @t441 @t440) (and (not (tptp.empty_carrier @t437)) @t438)))) % 41.52/41.71 (assume @p379 (forall @t19 (=> (and @t126 @t588 @t587 @t127 @t128) (and @t430 (tptp.reflexive_relstr @t429) (tptp.transitive_relstr @t429) (tptp.antisymmetric_relstr @t429))))) % 41.52/41.71 (assume @p380 (forall @t6 (=> @t64 (and @t544 @t571 @t570 @t569)))) % 41.52/41.71 (assume @p381 (forall @t19 (=> @t485 (tptp.relation @t376)))) % 41.52/41.71 (assume @p382 (forall @t19 @t572)) % 41.52/41.71 (assume @p383 (forall @t19 (=> (and @t269 @t245 @t387 @t101) @t589))) % 41.52/41.71 (assume @p384 (forall @t19 (=> @t140 (not (tptp.empty @t153))))) % 41.52/41.71 (assume @p385 (forall @t6 (=> (and @t33 @t79 @t78 @t10) (and @t565 @t473 @t472 @t471 @t470 @t590 @t564 @t563)))) % 41.52/41.71 (assume @p386 (forall @t19 (=> @t51 (and @t584 @t585 @t586 @t591)))) % 41.52/41.71 (assume @p387 (forall @t19 (=> @t53 (and @t584 @t585 @t586 @t591 (tptp.v5_membered @t376))))) % 41.52/41.71 (assume @p388 (forall @t19 (=> @t214 (and @t500 (tptp.function @t197))))) % 41.52/41.71 (assume @p389 (forall @t6 (=> (and @t33 @t83 @t161) (and @t593 @t512 @t511 (tptp.v1_binop_1 @t7 @t3) @t592)))) % 41.52/41.71 (assume @p390 (forall @t6 (=> @t332 (and @t565 @t473 @t472 @t471 @t470)))) % 41.52/41.71 (assume @p391 (forall @t6 (=> @t64 (and (tptp.epsilon_transitive @t336) (tptp.epsilon_connected @t336) (tptp.ordinal @t336))))) % 41.52/41.71 (assume @p392 (and @t522 @t521)) % 41.52/41.71 (assume @p393 (forall @t19 (=> @t141 (not (tptp.empty @t96))))) % 41.52/41.71 (assume @p394 (forall @t19 (=> (and @t269 @t245 @t381 @t101) @t594))) % 41.52/41.71 (assume @p395 (forall @t6 (=> @t326 (and @t565 @t473 @t472 @t471 @t470 @t590 @t578 (tptp.bounded_relstr @t331) @t564 @t563 (tptp.complete_relstr @t331))))) % 41.52/41.71 (assume @p396 (forall @t19 (=> @t595 (and @t505 (tptp.function @t216))))) % 41.52/41.71 (assume @p397 (forall @t6 (=> (and @t33 @t82 @t161) (and @t593 @t512 @t511 (tptp.v2_binop_1 @t7 @t3) @t592)))) % 41.52/41.71 (assume @p398 (forall @t6 (=> @t596 (tptp.closed_subset @t358 @t1)))) % 41.52/41.71 (assume @p399 (forall @t6 (=> @t598 (not @t597)))) % 41.52/41.71 (assume @p400 (forall @t6 (and @t469 @t601 @t600 @t599))) % 41.52/41.71 (assume @p401 (and @t522 (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))) % 41.52/41.71 (assume @p402 (forall @t6 (=> @t598 (not @t602)))) % 41.52/41.71 (assume @p403 (forall @t19 (=> @t577 @t603))) % 41.52/41.71 (assume @p404 (forall @t278 (=> (and @t17 @t133 @t435 @t229 @t434 @t433) (and (not (tptp.empty_carrier @t431)) @t432)))) % 41.52/41.71 (assume @p405 (forall @t6 (=> @t140 (and (not (tptp.empty_carrier @t322)) @t469 @t601 @t600 @t599)))) % 41.52/41.71 (assume @p406 (forall @t6 (=> @t54 (and @t597 (tptp.relation @t210))))) % 41.52/41.71 (assume @p407 (forall @t6 (and @t557 @t475 @t556 @t555 @t554))) % 41.52/41.71 (assume @p408 (forall @t6 (=> @t54 (and @t602 (tptp.relation @t378))))) % 41.52/41.71 (assume @p409 (forall @t6 (and @t557 @t475 @t556 @t555 @t554 @t550 @t549 @t548 @t553 @t552 @t551))) % 41.52/41.71 (assume @p410 (forall @t19 (=> @t526 (tptp.finite @t154)))) % 41.52/41.71 (assume @p411 (forall @t19 (=> @t519 (and (tptp.empty @t406) @t484)))) % 41.52/41.71 (assume @p412 (forall @t6 (and @t557 @t475 @t556 @t555 @t554 @t553 @t552 @t551 @t550 @t549 @t548 @t547 @t546 @t545 @t559))) % 41.52/41.71 (assume @p413 (forall @t19 (=> @t604 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t174 (and @t394 @t202 (= @t1 (tptp.ordered_pair_as_product_element @t14 @t14 @t69 @t169)) (tptp.below_refl @t11 @t69 @t169))))))) % 41.52/41.71 (assume @p414 (forall @t75 (=> (and @t205 @t291) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t69)) @t606)))) % 41.52/41.71 (assume @p415 (forall @t75 (=> (and @t205 @t447 (tptp.complete_latt_str @t11) @t291) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t69)) @t606)))) % 41.52/41.71 (assume @p416 (forall @t278 (=> (and @t205 @t462 @t232 (tptp.net_str @t69 @t11) (tptp.element @t169 @t221)) (= (tptp.in @t1 (tptp.a_3_0_waybel_9 @t11 @t69 @t169)) (exists @t201 (and (tptp.element @t191 @t221) @t607 (tptp.related @t69 @t169 @t191))))))) % 41.52/41.71 (assume @p417 (forall @t19 (=> @t128 (forall @t174 (=> (= @t429 (tptp.rel_str_of @t69 @t169)) @t609))))) % 41.52/41.71 (assume @p418 (forall @t278 (=> @t436 (forall (@list @t191 @t222 @t220 @t610) (=> (= @t431 (tptp.net_str_of @t191 @t222 @t220 @t610)) (and @t607 (= @t11 @t222) (= @t69 @t220) @t611)))))) % 41.52/41.71 (assume @p419 (forall @t75 (=> @t444 (forall @t613 (=> (= @t437 (tptp.latt_str_of @t169 @t191 @t222)) (and @t605 (= @t11 @t191) @t612)))))) % 41.52/41.71 (assume @p420 (forall @t19 (= (tptp.set_union2 @t1 @t1) @t1))) % 41.52/41.71 (assume @p421 (forall @t19 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 41.52/41.71 (assume @p422 (forall @t75 (=> @t165 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 41.52/41.71 (assume @p423 (forall @t75 (=> @t165 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 41.52/41.71 (assume @p424 (forall @t19 (=> @t57 (= (tptp.subset_complement @t1 @t382) @t11)))) % 41.52/41.71 (assume @p425 (forall @t6 (=> @t93 (= (tptp.relation_inverse @t390) @t1)))) % 41.52/41.71 (assume @p426 (forall @t19 (=> @t410 (= (tptp.complements_of_subsets @t1 @t408) @t11)))) % 41.52/41.71 (assume @p427 (forall @t19 (not (tptp.proper_subset @t1 @t1)))) % 41.52/41.71 (assume @p428 (forall @t6 (=> @t93 (= @t92 (forall @t27 (=> @t614 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 41.52/41.71 (assume @p429 (forall @t6 (not (= @t297 tptp.empty_set)))) % 41.52/41.71 (assume @p430 (forall @t19 (=> @t22 (= (tptp.set_union2 @t297 @t11) @t11)))) % 41.52/41.71 (assume @p431 (forall @t19 (not (and @t615 @t22)))) % 41.52/41.71 (assume @p432 (forall @t19 (=> @t616 @t615))) % 41.52/41.71 (assume @p433 (forall @t19 (=> @t177 (tptp.subset (tptp.relation_dom @t216) @t279)))) % 41.52/41.71 (assume @p434 (forall @t6 (=> @t93 (= @t94 (forall @t283 (=> (and @t282 @t335) @t281)))))) % 41.52/41.71 (assume @p435 (forall @t19 (= (tptp.subset @t297 @t11) @t22))) % 41.52/41.71 (assume @p436 (forall @t19 (=> @t177 (not (and @t617 (tptp.equipotent @t1 @t319) (forall @t131 (=> @t95 (not (tptp.well_orders @t69 @t1))))))))) % 41.52/41.71 (assume @p437 (forall @t19 (= (= @t376 tptp.empty_set) @t179))) % 41.52/41.71 (assume @p438 (forall @t19 (=> @t57 (forall @t131 (=> @t304 @t171))))) % 41.52/41.71 (assume @p439 (forall @t6 (=> @t93 (= @t218 (forall @t189 (=> (and @t282 @t618) @t294)))))) % 41.52/41.71 (assume @p440 (forall @t75 (=> @t179 (or @t171 (tptp.subset @t1 (tptp.set_difference @t11 @t619)))))) % 41.52/41.71 (assume @p441 (forall @t6 (=> @t207 (forall @t27 (=> @t101 (forall @t131 (=> @t149 (= (tptp.in @t69 @t311) @t355)))))))) % 41.52/41.71 (assume @p442 (forall @t6 (=> @t93 (= @t252 (forall @t189 (not (and @t614 (tptp.in @t69 @t217) @t356 @t620 (not @t618)))))))) % 41.52/41.71 (assume @p443 (forall @t19 (= (tptp.subset @t1 @t621) (or @t285 (= @t1 @t621))))) % 41.52/41.71 (assume @p444 (forall @t19 (=> @t22 (tptp.subset @t1 @t622)))) % 41.52/41.71 (assume @p445 (forall @t278 (= (tptp.in @t383 (tptp.cartesian_product2 @t69 @t169)) (and @t623 (tptp.in @t11 @t169))))) % 41.52/41.71 (assume @p446 (forall @t19 (=> @t359 @t624))) % 41.52/41.71 (assume @p447 (forall @t75 (=> @t398 (= @t626 (and (tptp.in @t11 @t373) @t20))))) % 41.52/41.71 (assume @p448 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t135 @t142 @t78 @t77))) % 41.52/41.71 (assume @p449 (forall @t6 (=> (and @t33 @t31 @t41 @t5) (exists @t27 (and @t101 @t133 @t98 @t324))))) % 41.52/41.71 (assume @p450 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76))) % 41.52/41.71 (assume @p451 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t134))) % 41.52/41.71 (assume @p452 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t102))) % 41.52/41.71 (assume @p453 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t135 @t78 @t77 @t76 @t134 @t136))) % 41.52/41.71 (assume @p454 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29))) % 41.52/41.72 (assume @p455 (exists @t6 (and @t140 @t90 @t89 @t64 @t105))) % 41.52/41.72 (assume @p456 (exists @t6 (and @t140 @t65))) % 41.52/41.72 (assume @p457 (exists @t6 @t214)) % 41.52/41.72 (assume @p458 (forall @t19 (exists @t131 (and @t74 @t95 @t71 @t70)))) % 41.52/41.72 (assume @p459 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t34))) % 41.52/41.72 (assume @p460 (exists @t6 (and @t140 @t28 @t45 @t48 @t51 @t53))) % 41.52/41.72 (assume @p461 (exists @t6 (and @t5 @t4))) % 41.52/41.72 (assume @p462 (exists @t6 @t119)) % 41.52/41.72 (assume @p463 (exists @t6 (and @t90 @t89 @t64 @t380))) % 41.52/41.72 (assume @p464 (exists @t6 (and @t93 @t68 @t108 @t54))) % 41.52/41.72 (assume @p465 (exists @t6 (and @t93 @t523 @t68))) % 41.52/41.72 (assume @p466 (exists @t6 (and @t54 @t93))) % 41.52/41.72 (assume @p467 (forall @t6 (=> @t140 (exists @t27 (and @t57 @t133))))) % 41.52/41.72 (assume @p468 (forall @t6 (=> @t596 (exists @t27 (and @t101 @t381))))) % 41.52/41.72 (assume @p469 (forall @t6 (=> @t5 (exists @t27 (and @t101 @t99 @t98))))) % 41.52/41.72 (assume @p470 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t102 @t30 @t29))) % 41.52/41.72 (assume @p471 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t30 @t29 @t39 @t38 @t34 @t36 @t120 @t129))) % 41.52/41.72 (assume @p472 (exists @t6 (and @t5 @t33 (not @t114) @t4 @t31 @t41 @t40 @t46 @t37 @t49 @t116 @t36 @t35 @t147 @t42 @t39 @t38))) % 41.52/41.72 (assume @p473 (exists @t6 @t54)) % 41.52/41.72 (assume @p474 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t114))) % 41.52/41.72 (assume @p475 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t116))) % 41.52/41.72 (assume @p476 (forall @t6 (exists @t27 (and @t57 @t132 @t177 @t125 @t124 @t63 @t62 @t61 @t52 @t107)))) % 41.52/41.72 (assume @p477 (exists @t6 @t110)) % 41.52/41.72 (assume @p478 (forall @t6 (exists @t27 (and @t128 @t177 @t125 @t124 @t123 @t122 @t121)))) % 41.52/41.72 (assume @p479 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34))) % 41.52/41.72 (assume @p480 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40))) % 41.52/41.72 (assume @p481 (exists @t6 (and @t93 @t68 @t108 @t54 @t90 @t89 @t64))) % 41.52/41.72 (assume @p482 (forall @t19 (exists @t131 (and @t74 @t95 @t71)))) % 41.52/41.72 (assume @p483 (exists @t6 @t598)) % 41.52/41.72 (assume @p484 (forall @t6 (exists @t27 (and @t57 @t132)))) % 41.52/41.72 (assume @p485 (forall @t6 (exists @t27 (and @t57 (not @t627))))) % 41.52/41.72 (assume @p486 (forall @t6 (=> @t596 (exists @t27 (and @t101 @t381 @t387))))) % 41.52/41.72 (assume @p487 (forall @t6 (=> (and @t33 @t31 @t5) (exists @t27 (and @t101 @t133 @t107 @t99 @t98))))) % 41.52/41.72 (assume @p488 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49 @t30 @t29 @t120 @t129))) % 41.52/41.72 (assume @p489 (forall @t6 (exists @t27 (and @t410 @t133 @t107)))) % 41.52/41.72 (assume @p490 (exists @t6 @t140)) % 41.52/41.72 (assume @p491 (exists @t6 (and @t5 @t33 @t31 @t41 @t40 @t39 @t38 @t34 @t46 @t37 @t49))) % 41.52/41.72 (assume @p492 (forall @t6 (=> @t140 (exists @t27 (and @t57 @t133 @t107))))) % 41.52/41.72 (assume @p493 (exists @t6 @t109)) % 41.52/41.72 (assume @p494 (exists @t6 (and @t10 @t9))) % 41.52/41.72 (assume @p495 (exists @t6 (and @t140 @t90 @t89 @t64))) % 41.52/41.72 (assume @p496 (forall @t6 (exists @t27 (and @t128 @t177 @t126 (tptp.symmetric @t11) @t588 @t587 @t127)))) % 41.52/41.72 (assume @p497 (exists @t6 @t524)) % 41.52/41.72 (assume @p498 (exists @t6 (and @t17 @t33))) % 41.52/41.72 (assume @p499 (forall @t6 (=> @t17 (exists @t27 (and @t303 @t133 @t107))))) % 41.52/41.72 (assume @p500 (forall @t6 (=> @t17 (exists @t27 (and @t16 @t15))))) % 41.52/41.72 (assume @p501 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t46 @t37 @t49 @t36 @t35 @t147 @t42))) % 41.52/41.72 (assume @p502 (forall @t6 (=> @t207 (exists @t27 (and @t101 @t133))))) % 41.52/41.72 (assume @p503 (exists @t6 (and @t5 @t33 @t4 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t35))) % 41.52/41.72 (assume @p504 (exists @t6 (and @t10 @t33 @t9))) % 41.52/41.72 (assume @p505 (forall @t6 (=> @t596 (exists @t27 (and @t101 @t387))))) % 41.52/41.72 (assume @p506 (forall @t19 (=> @t18 (exists @t131 (and @t414 @t628 @t428))))) % 41.52/41.72 (assume @p507 (forall @t6 (=> @t270 (exists @t27 (and @t101 @t133 @t387))))) % 41.52/41.72 (assume @p508 (forall @t19 (=> (and @t17 @t205 @t16) (exists @t131 (and @t414 @t232 @t628 @t428))))) % 41.52/41.72 (assume @p509 (exists @t6 (and @t10 @t33 @t9 @t85 @t84 @t83 @t82 @t81 @t80 @t79))) % 41.52/41.72 (assume @p510 (forall @t278 (=> @t448 (= @t446 @t172)))) % 41.52/41.72 (assume @p511 (forall @t278 (=> @t454 (= @t452 @t172)))) % 41.52/41.72 (assume @p512 (forall @t6 (= @t456 @t56))) % 41.52/41.72 (assume @p513 (forall @t19 (=> @t93 (= @t457 @t389)))) % 41.52/41.72 (assume @p514 (forall @t278 (=> @t463 (= @t459 @t396)))) % 41.52/41.72 (assume @p515 (forall @t6 (= @t321 @t320))) % 41.52/41.72 (assume @p516 (forall @t466 (=> @t465 (= @t464 (tptp.apply_binary @t169 @t191 @t222))))) % 41.52/41.72 (assume @p517 (forall @t6 (=> @t332 (= @t330 @t405)))) % 41.52/41.72 (assume @p518 (forall @t278 (=> @t468 (= @t467 @t629)))) % 41.52/41.72 (assume @p519 (forall @t75 (=> @t151 (= @t148 @t630)))) % 41.52/41.72 (assume @p520 (forall @t75 (=> @t157 (= @t155 @t292)))) % 41.52/41.72 (assume @p521 (forall @t278 (=> @t480 (= @t476 @t396)))) % 41.52/41.72 (assume @p522 (forall @t75 (=> @t162 (= @t160 @t239)))) % 41.52/41.72 (assume @p523 (forall @t75 (=> @t74 (= @t287 @t373)))) % 41.52/41.72 (assume @p524 (forall @t75 (=> @t165 (= @t163 @t631)))) % 41.52/41.72 (assume @p525 (forall @t278 (=> @t483 (= @t482 (tptp.relation_inverse_image @t69 @t169))))) % 41.52/41.72 (assume @p526 (forall @t75 (=> @t74 (= @t487 @t372)))) % 41.52/41.72 (assume @p527 (forall @t19 (=> @t410 (= @t488 @t622)))) % 41.52/41.72 (assume @p528 (forall @t75 (=> @t165 (= @t166 @t632)))) % 41.52/41.72 (assume @p529 (forall @t6 (= @t490 @t175))) % 41.52/41.72 (assume @p530 (forall @t19 (=> @t410 (= @t492 @t328)))) % 41.52/41.72 (assume @p531 (forall @t75 (=> @t165 (= @t493 @t633)))) % 41.52/41.72 (assume @p532 (forall @t499 (=> @t498 (= @t495 @t634)))) % 41.52/41.72 (assume @p533 (forall @t278 (=> @t502 (= @t501 @t396)))) % 41.52/41.72 (assume @p534 (forall @t278 (=> @t504 (= @t503 @t396)))) % 41.52/41.72 (assume @p535 (forall @t278 (=> @t74 (= @t506 @t629)))) % 41.52/41.72 (assume @p536 (forall @t75 (= @t288 @t74))) % 41.52/41.72 (assume @p537 (forall @t19 (=> @t168 (= @t167 @t179)))) % 41.52/41.72 (assume @p538 (forall @t19 (= @t375 (tptp.are_equipotent @t1 @t11)))) % 41.52/41.72 (assume @p539 (forall @t75 (=> @t636 (= @t635 @t354)))) % 41.52/41.72 (assume @p540 (forall @t75 (=> @t637 (= (tptp.related_reflexive @t1 @t11 @t69) @t342)))) % 41.52/41.72 (assume @p541 (forall @t19 (=> @t168 (tptp.ordinal_subset @t1 @t1)))) % 41.52/41.72 (assume @p542 (forall @t19 (tptp.subset @t1 @t1))) % 41.52/41.72 (assume @p543 (forall @t19 (tptp.equipotent @t1 @t1))) % 41.52/41.72 (assume @p544 (forall @t75 (=> @t636 (tptp.below_refl @t1 @t11 @t11)))) % 41.52/41.72 (assume @p545 (forall @t75 (=> @t637 (tptp.related_reflexive @t1 @t11 @t11)))) % 41.52/41.72 (assume @p546 (forall @t19 (=> @t652 (=> @t651 (exists @t131 (and @t95 @t71 (forall @t196 (= @t195 (and @t308 @t308 (exists @t642 (and (= @t169 @t639) (tptp.in @t191 @t639) (forall @t641 (=> @t640 (tptp.in (tptp.ordered_pair @t191 @t638) @t11)))))))))))))) % 41.52/41.72 (assume @p547 (forall @t6 (=> @t655 (exists @t27 (and @t177 @t125 (forall @t174 (= @t173 (and @t171 @t171 (= @t169 @t619))))))))) % 41.52/41.72 (assume @p548 (forall @t19 (=> @t668 (=> @t667 (exists @t131 (and @t95 @t71 (forall @t196 (= @t195 (and @t661 @t661 @t659))))))))) % 41.52/41.72 (assume @p549 (forall @t19 (=> @t668 (=> @t669 (exists @t131 (and @t95 @t71 (forall @t196 (= @t195 (and @t194 @t194 @t659))))))))) % 41.52/41.72 (assume @p550 (forall @t6 (=> (exists @t27 (and @t61 @t20)) (exists @t27 (and @t61 @t20 (forall @t131 (=> @t670 (=> @t171 (tptp.ordinal_subset @t11 @t69))))))))) % 41.52/41.72 (assume @p551 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t694)) (not (and @t309 (forall @t27 (not (and @t20 (forall @t131 (=> (and @t171 @t693) (= @t69 @t11))))))))))) (forall @t184 (=> @t677 (=> @t692 (=> (tptp.in @t691 tptp.omega) (forall @t647 (=> (tptp.element @t610 (tptp.powerset (tptp.powerset @t691))) (not (and (not (= @t610 tptp.empty_set)) (forall @t646 (not (and @t645 (forall @t642 (=> (and (tptp.in @t639 @t610) (tptp.subset @t644 @t639)) (= @t639 @t644)))))))))))))) (forall @t184 (=> @t677 (=> (and (tptp.being_limit_ordinal @t169) (forall @t641 (=> (tptp.ordinal @t638) (=> (tptp.in @t638 @t169) (=> (tptp.in @t638 tptp.omega) (forall @t690 (=> (tptp.element @t686 (tptp.powerset (tptp.powerset @t638))) (not (and (not (= @t686 tptp.empty_set)) (forall @t689 (not (and @t688 (forall @t687 (=> (and (tptp.in @t685 @t686) (tptp.subset @t684 @t685)) (= @t685 @t684))))))))))))))) (or (= @t169 tptp.empty_set) (=> @t676 (forall @t683 (=> (tptp.element @t680 @t674) (not (and (not (= @t680 tptp.empty_set)) (forall @t682 (not (and (tptp.in @t678 @t680) (forall @t681 (=> (and (tptp.in @t679 @t680) (tptp.subset @t678 @t679)) (= @t679 @t678)))))))))))))))) (forall @t184 (=> @t677 (=> @t676 (forall @t675 (=> (tptp.element @t673 @t674) (not (and (not (= @t673 tptp.empty_set)) (forall (@list @t671) (not (and (tptp.in @t671 @t673) (forall (@list @t672) (=> (and (tptp.in @t672 @t673) (tptp.subset @t671 @t672)) (= @t672 @t671))))))))))))))) % 41.52/41.72 (assume @p552 (forall @t75 (=> @t698 (exists @t184 (and @t697 (forall @t347 (= (tptp.in @t345 @t169) (and @t215 @t696 (tptp.in (tptp.ordered_pair @t395 @t695) @t11))))))))) % 41.52/41.72 (assume @p553 (forall @t19 (=> @t652 (=> @t651 (exists @t131 (forall @t184 (= @t211 (exists @t201 (and @t215 @t215 (exists @t642 (and (= @t191 @t639) @t700 @t699))))))))))) % 41.52/41.72 (assume @p554 (forall @t19 (=> @t652 (forall @t131 (=> (forall @t613 (=> (and @t643 (exists @t710 (and @t709 @t707 (exists @t646 (and (= @t220 @t644) (tptp.in @t610 @t644) (forall @t642 (=> @t706 (tptp.in (tptp.ordered_pair @t610 @t639) @t11))))))) @t705 (exists @t704 (and (= @t703 @t222) (tptp.in @t638 @t1) (exists @t689 (and (= @t638 @t684) (tptp.in @t686 @t684) (forall @t687 (=> (tptp.in @t685 @t684) (tptp.in (tptp.ordered_pair @t686 @t685) @t11)))))))) @t702)) (exists @t184 (forall @t201 (= @t277 (exists @t227 (and (tptp.in @t222 @t701) @t391 (exists (@list @t680 @t678) (and (= (tptp.ordered_pair @t680 @t678) @t191) (tptp.in @t680 @t1) (exists @t681 (and (= @t680 @t679) (tptp.in @t678 @t679) (forall @t675 (=> (tptp.in @t673 @t679) (tptp.in (tptp.ordered_pair @t678 @t673) @t11))))))))))))))))) % 41.52/41.72 (assume @p555 (forall @t75 (=> @t717 (=> (forall @t613 (=> (and @t643 (exists @t225 (and @t715 (exists @t647 (and @t714 @t713 (tptp.relstr_set_smaller @t1 @t220 @t610))))) @t705 (exists @t646 (and (= @t644 @t222) (exists @t642 (and (tptp.element @t639 @t3) @t712 (tptp.relstr_set_smaller @t1 @t644 @t639)))))) @t702)) (exists @t184 (forall @t201 (= @t277 (exists @t227 (and (tptp.in @t222 @t711) @t391 (exists @t641 (and (= @t638 @t191) (exists @t690 (and (tptp.element @t686 @t3) (tptp.in @t686 @t11) (tptp.relstr_set_smaller @t1 @t638 @t686)))))))))))))) % 41.52/41.72 (assume @p556 (forall @t6 (=> @t655 (exists @t27 (forall @t131 (= @t304 (exists @t184 (and @t308 @t308 (= @t69 (tptp.singleton @t169)))))))))) % 41.52/41.72 (assume @p557 (forall @t19 (=> (forall @t407 (=> (and @t170 (exists @t724 (and (= @t723 @t169) @t696 (= @t220 (tptp.singleton @t222)))) @t722 (exists (@list @t610 @t644) (and (= (tptp.ordered_pair @t610 @t644) @t191) @t721 (= @t644 (tptp.singleton @t610))))) @t643)) (exists @t131 (forall @t184 (= @t211 (exists @t201 (and (tptp.in @t191 @t96) @t720 (exists @t719 (and (= @t718 @t169) (tptp.in @t639 @t1) (= @t638 (tptp.singleton @t639)))))))))))) % 41.52/41.72 (assume @p558 (forall @t6 (=> @t64 (=> (forall @t283 (=> (and @t294 (exists @t201 (and @t726 @t722 (=> (tptp.in @t191 tptp.omega) (forall @t227 (=> (tptp.element @t222 (tptp.powerset (tptp.powerset @t191))) @t725))))) @t333 (exists @t646 (and (tptp.ordinal @t644) (= @t169 @t644) (=> (tptp.in @t644 tptp.omega) (forall @t642 (=> (tptp.element @t639 (tptp.powerset (tptp.powerset @t644))) (not (and (not (= @t639 tptp.empty_set)) (forall @t641 (not (and @t640 (forall @t690 (=> (and (tptp.in @t686 @t639) (tptp.subset @t638 @t686)) (= @t686 @t638)))))))))))))) @t170)) (exists @t27 (forall @t131 (= @t304 (exists @t184 (and (tptp.in @t169 @t298) @t400 (exists @t689 (and (tptp.ordinal @t684) (= @t69 @t684) (=> (tptp.in @t684 tptp.omega) (forall @t687 (=> (tptp.element @t685 (tptp.powerset (tptp.powerset @t684))) (not (and (not (= @t685 tptp.empty_set)) (forall @t683 (not (and (tptp.in @t680 @t685) (forall @t682 (=> (and (tptp.in @t678 @t685) (tptp.subset @t680 @t678)) (= @t678 @t680)))))))))))))))))))))) % 41.52/41.72 (assume @p559 (forall @t19 (=> @t577 (=> (forall @t407 (=> (and @t170 (exists @t227 (and @t665 @t729 (tptp.closed_subset @t222 @t1) @t727)) @t722 (exists @t225 (and @t662 @t715 (tptp.closed_subset @t220 @t1) (tptp.subset @t11 @t191)))) @t643)) (exists @t131 (forall @t184 (= @t211 (exists @t201 (and @t728 @t720 (exists @t647 (and @t658 @t657 (tptp.closed_subset @t610 @t1) @t727))))))))))) % 41.52/41.72 (assume @p560 (forall @t19 (=> @t731 (=> (forall @t407 (=> (and @t170 @t730 @t722 (tptp.in (tptp.set_difference @t358 @t191) @t11)) @t643)) (exists @t131 (forall @t184 (= @t211 (exists @t201 (and @t728 @t720 @t730))))))))) % 41.52/41.72 (assume @p561 (forall @t19 (=> @t733 (=> (forall @t407 (=> (and @t170 (exists @t227 (and @t346 (= @t169 (tptp.set_difference @t222 @t297)))) @t722 (exists @t225 (and @t732 (= @t191 (tptp.set_difference @t220 @t297))))) @t643)) (exists @t131 (forall @t184 (= @t211 (exists @t201 (and (tptp.in @t191 @t56) @t720 (exists @t647 (and @t713 (= @t169 (tptp.set_difference @t610 @t297))))))))))))) % 41.52/41.72 (assume @p562 (forall @t19 (=> @t668 (=> @t667 (exists @t131 (forall @t184 (= @t211 (exists @t201 (and @t736 @t736 @t735))))))))) % 41.52/41.72 (assume @p563 (forall @t19 (=> @t668 (forall @t131 (=> (forall @t613 (=> (and @t643 (exists @t710 (and @t709 (tptp.in @t220 @t660) @t745)) @t705 (exists @t719 (and @t742 (tptp.in @t639 @t660) @t741))) @t702)) (exists @t184 (forall @t201 (= @t277 (exists @t227 (and (tptp.in @t222 @t740) @t391 (exists @t739 (and @t738 (tptp.in @t684 @t660) @t737)))))))))))) % 41.52/41.72 (assume @p564 (forall @t19 (=> @t668 (=> @t669 (exists @t131 (forall @t184 (= @t211 (exists @t201 (and @t209 @t209 @t735))))))))) % 41.52/41.72 (assume @p565 (forall @t19 (=> @t668 (forall @t131 (=> (forall @t613 (=> (and @t643 (exists @t710 (and @t709 @t732 @t745)) @t705 (exists @t719 (and @t742 @t712 @t741))) @t702)) (exists @t184 (forall @t201 (= @t277 (exists @t227 (and (tptp.in @t222 @t746) @t391 (exists @t739 (and @t738 (tptp.in @t684 @t11) @t737)))))))))))) % 41.52/41.72 (assume @p566 (forall @t75 (=> @t698 (=> (forall @t613 (=> (and @t643 (exists @t710 (and (= @t191 @t708) (tptp.in (tptp.ordered_pair @t747 (tptp.apply @t69 @t610)) @t11))) @t705 (exists (@list @t644 @t639) (and (= @t222 (tptp.ordered_pair @t644 @t639)) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t644) (tptp.apply @t69 @t639)) @t11)))) @t702)) (exists @t184 (forall @t201 (= @t277 (exists @t227 (and (tptp.in @t222 @t439) @t391 (exists @t704 (and (= @t191 @t703) (tptp.in (tptp.ordered_pair (tptp.apply @t69 @t638) (tptp.apply @t69 @t686)) @t11)))))))))))) % 41.52/41.72 (assume @p567 (forall @t6 (=> (forall @t283 (=> (and @t294 @t670 @t333 @t677) @t170)) (exists @t27 (forall @t131 (= @t304 (exists @t184 (and @t308 @t400 @t670)))))))) % 41.52/41.72 (assume @p568 (forall @t75 (=> @t750 (=> (forall @t613 (=> (and @t643 @t748 @t705 (tptp.in (tptp.relation_image @t69 @t222) @t11)) @t702)) (exists @t184 (forall @t201 (= @t277 (exists @t227 (and (tptp.in @t222 @t749) @t391 @t748))))))))) % 41.52/41.72 (assume @p569 (forall @t19 (=> @t61 (=> (forall @t407 (=> (and @t170 (exists @t227 (and (tptp.ordinal @t222) @t705 @t696)) @t722 (exists @t225 (and (tptp.ordinal @t220) @t752 @t707))) @t643)) (exists @t131 (forall @t184 (= @t211 (exists @t201 (and (tptp.in @t191 @t751) @t720 (exists @t647 (and (tptp.ordinal @t610) @t611 @t721))))))))))) % 41.52/41.72 (assume @p570 (forall @t19 (=> @t652 (forall @t131 (exists @t184 (forall @t201 (= @t277 (and (tptp.in @t191 @t701) (exists @t724 (and @t753 @t696 (exists @t647 (and (= @t222 @t610) (tptp.in @t220 @t610) (forall @t646 (=> @t645 (tptp.in (tptp.ordered_pair @t220 @t644) @t11))))))))))))))) % 41.52/41.72 (assume @p571 (forall @t75 (=> @t717 (exists @t184 (forall @t201 (= @t277 (and (tptp.in @t191 @t711) (exists @t227 (and @t391 @t754))))))))) % 41.52/41.72 (assume @p572 (forall @t19 (exists @t131 (forall @t184 (= @t211 (and (tptp.in @t169 @t96) (exists @t347 (and (= @t345 @t169) @t215 (= @t222 @t755))))))))) % 41.52/41.72 (assume @p573 (forall @t6 (=> @t64 (exists @t27 (forall @t131 (= @t304 (and (tptp.in @t69 @t298) (exists @t184 (and @t677 @t170 @t692))))))))) % 41.52/41.72 (assume @p574 (forall @t19 (=> @t577 (exists @t131 (forall @t184 (= @t211 (and @t757 @t756))))))) % 41.52/41.72 (assume @p575 (forall @t19 (=> @t731 (exists @t131 (forall @t184 (= @t211 (and @t757 @t730))))))) % 41.52/41.72 (assume @p576 (forall @t19 (=> @t733 (exists @t131 (forall @t184 (= @t211 (and (tptp.in @t169 @t56) (exists @t201 (and @t209 (= @t169 (tptp.set_difference @t191 @t297))))))))))) % 41.52/41.72 (assume @p577 (forall @t19 (=> @t668 (forall @t131 (exists @t184 (forall @t201 (= @t277 (and (tptp.in @t191 @t740) (exists @t724 (and @t753 (tptp.in @t222 @t660) @t758)))))))))) % 41.52/41.72 (assume @p578 (forall @t19 (=> @t668 (forall @t131 (exists @t184 (forall @t201 (= @t277 (and (tptp.in @t191 @t746) (exists @t724 (and @t753 @t346 @t758)))))))))) % 41.52/41.72 (assume @p579 (forall @t75 (=> @t698 (exists @t184 (forall @t201 (= @t277 (and (tptp.in @t191 @t439) (exists @t724 (and (= @t191 @t723) (tptp.in (tptp.ordered_pair @t695 @t747) @t11)))))))))) % 41.52/41.72 (assume @p580 (forall @t6 (exists @t27 (forall @t131 (= @t304 (and @t171 @t670)))))) % 41.52/41.72 (assume @p581 (forall @t75 (=> @t750 (exists @t184 (forall @t201 (= @t277 (and (tptp.in @t191 @t749) @t748))))))) % 41.52/41.72 (assume @p582 (forall @t19 (=> @t61 (exists @t131 (forall @t184 (= @t211 (and (tptp.in @t169 @t751) (exists @t201 (and @t726 @t643 @t215))))))))) % 41.52/41.72 (assume @p583 (forall @t75 (=> @t717 (=> (and @t348 (exists @t184 (and @t183 @t194 (tptp.relstr_set_smaller @t1 tptp.empty_set @t169))) (forall @t347 (=> (and @t759 (tptp.subset @t222 @t69) @t754) (exists @t647 (and @t714 @t713 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t222 @t755) @t610)))))) (exists @t646 (and (tptp.element @t644 @t3) (tptp.in @t644 @t11) (tptp.relstr_set_smaller @t1 @t69 @t644))))))) % 41.52/41.72 (assume @p584 (forall @t19 (=> @t652 (=> (and (forall @t407 (=> (and @t171 @t650 @t648) @t643)) (forall @t131 (not (and @t171 (forall @t184 (not (exists @t642 (and (= @t69 @t639) @t700 @t699)))))))) (exists @t131 (and @t95 @t71 @t374 (forall @t184 (=> @t308 (exists @t690 (and (= @t169 @t686) (tptp.in @t396 @t686) (forall @t689 (=> @t688 (tptp.in (tptp.ordered_pair @t396 @t684) @t11))))))))))))) % 41.52/41.72 (assume @p585 (forall @t6 (=> (and (forall @t283 (=> (and @t20 @t654 @t653) @t170)) (forall @t27 (not (and @t20 (forall @t131 (not @t654)))))) @t762))) % 41.52/41.72 (assume @p586 (forall @t19 (=> @t668 (=> (and (forall @t407 (=> (and @t664 @t666 @t663) @t643)) (forall @t131 (not (and @t664 @t764)))) (exists @t131 (and @t95 @t71 (= @t373 @t660) (forall @t184 (=> @t661 @t763)))))))) % 41.52/41.72 (assume @p587 (forall @t19 (=> @t668 (=> (and (forall @t407 (=> (and @t304 @t666 @t663) @t643)) (forall @t131 (not (and @t304 @t764)))) (exists @t131 (and @t95 @t71 (= @t373 @t11) (forall @t184 (=> @t194 @t763)))))))) % 41.52/41.72 (assume @p588 (=> (forall @t6 (=> @t64 (=> (forall @t27 (=> @t61 (=> @t20 (=> (tptp.in @t11 tptp.omega) (forall @t131 (=> (tptp.element @t69 (tptp.powerset @t486)) (not (and @t360 (forall @t184 (not (and @t211 (forall @t201 (=> (and @t759 (tptp.subset @t169 @t191)) @t720))))))))))))) (=> @t765 (forall @t227 (=> (tptp.element @t222 @t409) @t725)))))) (forall @t6 (=> @t64 (=> @t765 (forall @t646 (=> (tptp.element @t644 @t409) (not (and (not (= @t644 tptp.empty_set)) (forall @t642 (not (and @t706 (forall @t641 (=> (and (tptp.in @t638 @t644) (tptp.subset @t639 @t638)) (= @t638 @t639))))))))))))))) % 41.52/41.72 (assume @p589 (forall @t6 @t762)) % 41.52/41.72 (assume @p590 (forall @t19 (=> @t577 (exists @t131 (and @t350 (forall @t184 (=> @t766 (= @t211 @t756)))))))) % 41.52/41.72 (assume @p591 (forall @t19 (=> @t731 (exists @t131 (and @t350 (forall @t184 (=> @t766 (= @t211 @t730)))))))) % 41.52/41.72 (assume @p592 (forall @t19 (=> @t399 (tptp.disjoint @t11 @t1)))) % 41.52/41.72 (assume @p593 (forall @t19 (=> @t375 (tptp.equipotent @t11 @t1)))) % 41.52/41.72 (assume @p594 (forall @t6 (tptp.in @t1 @t298))) % 41.52/41.72 (assume @p595 (forall @t19 (=> @t410 (and @t768 (not (and (not @t767) @t286)))))) % 41.52/41.72 (assume @p596 (forall @t278 (not (and (= @t152 (tptp.unordered_pair @t69 @t169)) (not @t608) (not @t605))))) % 41.52/41.72 (assume @p597 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t69))) (and @t22 (tptp.in @t1 @t372)))))) % 41.52/41.72 (assume @p598 (forall @t19 (=> @t177 (tptp.subset @t769 @t1)))) % 41.52/41.72 (assume @p599 (forall @t19 (=> @t177 (tptp.subset @t216 @t11)))) % 41.52/41.72 (assume @p600 (forall @t19 (=> @t177 (tptp.subset @t769 @t280)))) % 41.52/41.72 (assume @p601 (forall @t75 (=> @t179 (and (tptp.subset @t701 @t746) (tptp.subset (tptp.cartesian_product2 @t69 @t1) (tptp.cartesian_product2 @t69 @t11)))))) % 41.52/41.72 (assume @p602 (forall @t19 (=> @t177 (= @t769 (tptp.set_intersection2 @t280 @t1))))) % 41.52/41.72 (assume @p603 (forall @t278 (=> (and @t179 @t318) (tptp.subset @t701 (tptp.cartesian_product2 @t11 @t169))))) % 41.52/41.72 (assume @p604 (forall @t19 (=> @t410 (=> @t329 (= @t770 (tptp.subset_complement @t1 @t488)))))) % 41.52/41.72 (assume @p605 (forall @t19 (=> (tptp.element @t11 (tptp.powerset @t771)) (= (tptp.upper_relstr_subset @t11 @t344) (forall @t174 (=> (and @t318 (tptp.subset @t169 @t1) @t304) @t194)))))) % 41.52/41.72 (assume @p606 (forall @t75 (=> @t288 (and (tptp.subset @t373 @t1) (tptp.subset @t372 @t11))))) % 41.52/41.72 (assume @p607 (forall @t19 (=> @t410 (=> @t329 (= @t772 (tptp.subset_complement @t1 @t492)))))) % 41.52/41.72 (assume @p608 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t131 (=> @t394 (= @t773 (tptp.a_3_0_waybel_9 @t1 @t11 @t69))))))))) % 41.52/41.72 (assume @p609 (forall @t19 (=> @t179 (= @t154 @t11)))) % 41.52/41.72 (assume @p610 (forall @t6 (exists @t27 (and @t22 @t775 (forall @t131 (=> @t304 (tptp.in @t711 @t11))) @t774)))) % 41.52/41.72 (assume @p611 (forall @t6 (=> @t270 (= @t352 (forall @t27 (=> @t303 (not (and (tptp.centered @t11) @t339 (= @t776 tptp.empty_set))))))))) % 41.52/41.72 (assume @p612 (forall @t19 (=> (and @t179 @t107) @t65))) % 41.52/41.72 (assume @p613 (forall @t6 (=> @t17 (forall @t27 (=> @t303 (= (tptp.finite @t660) @t107)))))) % 41.52/41.72 (assume @p614 (forall @t75 (=> @t95 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t69) @t11) (tptp.relation_rng_restriction @t1 @t777))))) % 41.52/41.72 (assume @p615 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_image @t69 @t11)) (exists @t184 (and (tptp.in @t169 @t373) (tptp.in (tptp.ordered_pair @t169 @t1) @t69) @t194)))))) % 41.52/41.72 (assume @p616 (forall @t19 (=> @t177 (tptp.subset @t778 @t280)))) % 41.52/41.72 (assume @p617 (forall @t19 (=> @t595 (tptp.subset @t780 @t1)))) % 41.52/41.72 (assume @p618 (forall @t19 (=> @t177 (= @t778 (tptp.relation_image @t11 @t781))))) % 41.52/41.72 (assume @p619 (forall @t19 (=> @t177 (=> (tptp.subset @t1 @t279) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t778)))))) % 41.52/41.72 (assume @p620 (forall @t6 (=> @t93 (= (tptp.relation_image @t1 @t210) @t378)))) % 41.52/41.72 (assume @p621 (forall @t19 (=> @t595 (=> @t782 (= @t780 @t1))))) % 41.52/41.72 (assume @p622 (forall @t278 (=> @t785 (=> (tptp.subset @t784 @t11) @t783)))) % 41.52/41.72 (assume @p623 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= (tptp.subset_intersection2 @t3 @t11 @t358) @t11)))))) % 41.52/41.72 (assume @p624 (forall @t6 (=> @t786 (forall @t27 (= @t404 (exists @t131 (and @t149 @t403 @t402))))))) % 41.52/41.72 (assume @p625 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (= @t787 (tptp.relation_image @t11 @t378))))))) % 41.52/41.72 (assume @p626 (forall @t75 (=> @t95 (= (tptp.in @t1 @t788) (exists @t184 (and (tptp.in @t169 @t372) (tptp.in (tptp.ordered_pair @t1 @t169) @t69) @t194)))))) % 41.52/41.72 (assume @p627 (forall @t19 (=> @t177 (tptp.subset @t779 @t279)))) % 41.52/41.72 (assume @p628 (forall @t278 (=> @t785 (=> @t179 @t783)))) % 41.52/41.72 (assume @p629 (forall @t6 (=> @t245 (forall @t27 (=> @t303 (= @t339 (tptp.open_subsets @t660 @t1))))))) % 41.52/41.72 (assume @p630 (forall @t6 (=> @t207 (forall @t27 (=> (and @t205 @t234 @t16) (forall @t131 (=> @t394 (forall @t184 (=> @t202 (forall @t201 (=> (tptp.element @t191 @t773) (=> @t643 (= (tptp.apply_netmap @t1 @t11 @t169) (tptp.apply_netmap @t1 @t393 @t191)))))))))))))) % 41.52/41.72 (assume @p631 (forall @t75 (=> @t95 (= (tptp.in @t1 @t789) (and @t623 (tptp.in @t1 @t388)))))) % 41.52/41.72 (assume @p632 (forall @t6 (=> @t786 (forall @t27 (= @t188 (exists @t131 (and @t149 @t186 @t185))))))) % 41.52/41.72 (assume @p633 (forall @t19 (=> @t177 (not (and @t309 @t782 (= @t779 tptp.empty_set)))))) % 41.52/41.72 (assume @p634 (forall @t75 (=> @t95 (=> @t179 (tptp.subset (tptp.relation_inverse_image @t69 @t1) @t788))))) % 41.52/41.72 (assume @p635 (forall @t19 (=> @t595 (=> @t65 (tptp.finite @t778))))) % 41.52/41.72 (assume @p636 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= @t311 @t386)))))) % 41.52/41.72 (assume @p637 (forall @t6 (=> @t245 (forall @t27 (=> @t303 (= @t314 (tptp.closed_subsets @t660 @t1))))))) % 41.52/41.72 (assume @p638 (forall @t19 (=> @t177 (= @t790 (tptp.relation_dom_restriction @t216 @t1))))) % 41.52/41.72 (assume @p639 (forall @t19 (tptp.subset @t159 @t1))) % 41.52/41.72 (assume @p640 (forall @t6 (=> @t65 (forall @t27 (=> @t410 (not (and @t329 (forall @t131 (not (and @t304 (forall @t184 (=> (and @t194 @t318) @t400)))))))))))) % 41.52/41.72 (assume @p641 (forall @t19 (=> @t177 (= @t790 (tptp.relation_rng_restriction @t1 @t791))))) % 41.52/41.72 (assume @p642 (forall @t6 (= (tptp.bottom_of_relstr @t344) tptp.empty_set))) % 41.52/41.72 (assume @p643 (forall @t75 (=> @t95 (=> (tptp.in @t1 (tptp.relation_field @t789)) (and @t793 @t22))))) % 41.52/41.72 (assume @p644 (forall @t75 (=> (and @t179 @t794) (tptp.subset @t1 @t632)))) % 41.52/41.72 (assume @p645 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t414 (tptp.subset @t221 @t14)))))))) % 41.52/41.72 (assume @p646 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 41.52/41.72 (assume @p647 (forall @t19 (=> @t797 (forall @t131 (=> @t796 (and (= (tptp.join @t290 @t11 @t69) @t631) (= (tptp.meet @t290 @t11 @t69) @t632))))))) % 41.52/41.72 (assume @p648 (forall @t19 (=> @t22 @t798))) % 41.52/41.72 (assume @p649 (forall @t6 (=> (and @t33 @t41 @t5) (forall @t27 (=> @t101 (= (and @t133 @t99) (forall @t131 (=> (and @t348 @t716) (exists @t184 (and @t183 @t194 @t799)))))))))) % 41.52/41.72 (assume @p650 (forall @t75 (=> (and @t179 @t693) @t794))) % 41.52/41.72 (assume @p651 (forall @t6 (and (= (tptp.the_carrier @t322) @t1) (= (tptp.the_InternalRel @t322) @t321)))) % 41.52/41.72 (assume @p652 (= @t694 (tptp.singleton tptp.empty_set))) % 41.52/41.72 (assume @p653 (forall @t75 (=> @t95 (=> @t801 (and @t800 (tptp.in @t11 @t372)))))) % 41.52/41.72 (assume @p654 (forall @t19 (=> @t177 (and (tptp.subset @t802 @t319) (tptp.subset @t802 @t1))))) % 41.52/41.72 (assume @p655 (forall @t6 (=> @t17 (forall @t27 (=> @t16 (forall @t131 (=> @t414 (forall @t184 (=> @t202 (forall @t201 (=> @t200 (forall @t227 (=> @t226 (forall @t225 (=> @t224 (=> (and @t705 @t752 @t223) @t199)))))))))))))))) % 41.52/41.72 (assume @p656 (forall @t19 (=> @t595 (forall @t131 (=> @t398 (= @t805 (and @t800 (tptp.in @t803 @t279)))))))) % 41.52/41.72 (assume @p657 (forall @t278 (=> @t807 (forall @t201 (=> (and (tptp.relation @t191) @t496) (=> @t171 (or @t286 (= (tptp.apply @t634 @t69) (tptp.apply @t191 @t806))))))))) % 41.52/41.72 (assume @p658 (forall @t6 (=> @t90 (forall @t27 (=> @t61 (=> @t24 @t22)))))) % 41.52/41.72 (assume @p659 (forall @t6 (=> @t93 (tptp.subset @t1 (tptp.cartesian_product2 @t210 @t378))))) % 41.52/41.72 (assume @p660 (forall @t75 (=> @t95 (tptp.subset (tptp.fiber (tptp.relation_restriction @t69 @t1) @t11) (tptp.fiber @t69 @t11))))) % 41.52/41.72 (assume @p661 (forall @t6 (=> @t17 (forall @t27 (=> @t206 (forall @t131 (=> (and @t232 @t428 @t414) (forall @t184 (=> @t202 (forall @t201 (=> @t200 (forall @t227 (=> @t226 (forall @t225 (=> @t224 (=> (and @t705 @t752 @t199) @t223)))))))))))))))) % 41.52/41.72 (assume @p662 (forall @t19 (=> @t595 (forall @t131 (=> @t398 (=> @t805 (= (tptp.apply @t804 @t1) (tptp.apply @t11 @t803)))))))) % 41.52/41.72 (assume @p663 (forall @t6 (=> @t17 (forall @t27 (=> @t101 (= (tptp.subset_difference @t3 @t358 @t386) @t11)))))) % 41.52/41.72 (assume @p664 (forall @t75 (=> (tptp.relation_of2_as_subset @t69 @t11 @t1) (= (forall @t184 (not (and @t194 (forall @t201 (not @t195))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t69) @t11))))) % 41.52/41.72 (assume @p665 (forall @t19 (=> @t177 (=> @t126 (tptp.reflexive @t790))))) % 41.52/41.72 (assume @p666 (forall @t19 (=> @t595 (forall @t131 (=> @t398 (=> (tptp.in @t1 @t279) (= (tptp.apply (tptp.relation_composition @t11 @t69) @t1) (tptp.apply @t69 (tptp.apply @t11 @t1))))))))) % 41.52/41.72 (assume @p667 (forall @t6 (=> (and @t33 @t83 @t81 @t10) (forall @t27 (=> @t150 (forall @t131 (=> @t149 (tptp.below @t1 @t160 @t11)))))))) % 41.52/41.72 (assume @p668 (forall @t19 (=> @t61 (=> @t22 @t64)))) % 41.52/41.72 (assume @p669 (forall @t75 (=> @t288 (= (forall @t184 (not (and @t194 (forall @t201 (not (tptp.in @t246 @t69)))))) (= @t487 @t11))))) % 41.52/41.72 (assume @p670 (forall @t19 (=> @t177 (=> @t808 (tptp.connected @t790))))) % 41.52/41.72 (assume @p671 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (not (and @t616 @t412 @t21))))))) % 41.52/41.72 (assume @p672 (forall @t19 (=> @t177 (=> @t587 (tptp.transitive @t790))))) % 41.52/41.72 (assume @p673 (forall @t6 (=> @t786 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (=> (and @t342 (tptp.related @t1 @t69 @t11)) @t294)))))))) % 41.52/41.72 (assume @p674 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (=> @t179 (and (tptp.subset @t210 @t279) (tptp.subset @t378 @t280)))))))) % 41.52/41.72 (assume @p675 (forall @t19 (=> @t177 (=> @t588 (tptp.antisymmetric @t790))))) % 41.52/41.72 (assume @p676 (forall @t19 (=> @t177 (=> @t811 (and @t810 @t809))))) % 41.52/41.72 (assume @p677 (forall @t6 (=> @t214 (=> (tptp.finite @t210) (tptp.finite @t378))))) % 41.52/41.72 (assume @p678 (forall @t6 (=> @t576 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (=> (and @t354 (tptp.below @t1 @t69 @t11)) @t294)))))))) % 41.52/41.72 (assume @p679 (forall @t6 (=> @t146 @t343))) % 41.52/41.72 (assume @p680 (forall @t6 (exists @t27 (and @t177 @t811)))) % 41.52/41.72 (assume @p681 (forall @t75 (=> @t179 (tptp.subset (tptp.set_intersection2 @t1 @t69) @t632)))) % 41.52/41.72 (assume @p682 (forall @t19 (=> @t604 (forall @t131 (=> @t394 (= (tptp.latt_set_smaller @t11 @t69 @t1) (tptp.relstr_element_smaller @t813 @t1 @t812))))))) % 41.52/41.72 (assume @p683 (forall @t6 (=> @t140 (not (and (forall @t27 (not (and @t20 @t286))) (forall @t27 (=> @t595 (not (and @t761 (forall @t131 (=> @t171 (tptp.in @t760 @t69)))))))))))) % 41.52/41.72 (assume @p684 (forall @t19 (=> @t179 (= @t159 @t1)))) % 41.52/41.72 (assume @p685 @t818) % 41.52/41.72 (assume @p686 (forall @t19 (=> @t604 (forall @t131 (=> @t820 (= (tptp.relstr_element_smaller @t813 @t1 @t69) (tptp.latt_set_smaller @t11 @t819 @t1))))))) % 41.52/41.72 (assume @p687 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t387 @t589)))))) % 41.52/41.72 (assume @p688 @t828) % 41.52/41.72 (assume @p689 (forall @t6 (=> @t326 (forall @t27 (and (= @t325 (tptp.join_on_relstr @t331 @t11)) (= @t327 (tptp.meet_on_relstr @t331 @t11))))))) % 41.52/41.72 (assume @p690 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 41.52/41.72 (assume @p691 (forall @t19 (=> @t797 (forall @t131 (=> @t796 (= (tptp.below @t290 @t11 @t69) @t693)))))) % 41.52/41.72 (assume @p692 (forall @t19 (=> @t798 (or @t132 @t22)))) % 41.52/41.72 (assume @p693 (forall @t19 (=> (forall @t131 (= @t171 @t304)) @t180))) % 41.52/41.72 (assume @p694 (forall @t6 (tptp.reflexive @t320))) % 41.52/41.72 (assume @p695 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 41.52/41.72 (assume @p696 (forall @t19 (=> (tptp.element @t11 @t771) (forall @t131 (=> (tptp.element @t69 @t771) (= (tptp.related_reflexive @t344 @t11 @t69) @t693)))))) % 41.52/41.72 (assume @p697 (forall @t19 (=> @t604 (forall @t131 (=> @t394 (= (tptp.latt_element_smaller @t11 @t69 @t1) (tptp.relstr_set_smaller @t813 @t1 @t812))))))) % 41.52/41.72 (assume @p698 (forall @t75 (=> @t95 (=> @t801 (and @t793 (tptp.in @t11 @t792)))))) % 41.52/41.72 (assume @p699 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (= @t381 @t594)))))) % 41.52/41.72 (assume @p700 (forall @t6 (=> @t786 (forall @t27 (=> @t150 (forall @t131 (and (=> @t829 @t830) (=> @t830 @t829)))))))) % 41.52/41.72 (assume @p701 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t219 (and (not (tptp.empty_carrier @t249)) (tptp.directed_relstr @t249))))))))) % 41.52/41.72 (assume @p702 (forall @t19 (=> @t604 (forall @t131 (=> @t820 (= (tptp.relstr_set_smaller @t813 @t1 @t69) (tptp.latt_element_smaller @t11 @t819 @t1))))))) % 41.52/41.72 (assume @p703 (forall @t6 (=> (forall @t27 (=> @t20 (and @t61 @t178))) @t64))) % 41.52/41.72 (assume @p704 (forall @t19 (=> @t177 (=> @t831 (tptp.well_founded_relation @t790))))) % 41.52/41.72 (assume @p705 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t131 (=> @t219 (tptp.subnet @t249 @t1 @t11)))))))) % 41.52/41.72 (assume @p706 (forall @t6 (=> @t332 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t69) @t405) @t635)))))))) % 41.52/41.72 (assume @p707 (forall @t19 (=> @t61 (not (and @t179 @t309 (forall @t131 (=> @t670 (not (and @t171 (forall @t184 (=> @t677 (=> @t308 (tptp.ordinal_subset @t69 @t169))))))))))))) % 41.52/41.72 (assume @p708 (forall @t19 (=> @t177 (=> @t617 @t809)))) % 41.52/41.72 (assume @p709 (forall @t6 (=> @t207 (forall @t27 (=> @t235 (forall @t174 (=> (tptp.subnet @t169 @t1 @t11) (=> @t250 (tptp.is_eventually_in @t1 @t169 @t69))))))))) % 41.52/41.72 (assume @p710 (forall @t6 (=> @t64 (forall @t27 (=> @t61 (= @t22 (tptp.ordinal_subset @t298 @t11))))))) % 41.52/41.72 (assume @p711 (forall @t75 (=> @t179 (tptp.subset (tptp.set_difference @t1 @t69) @t633)))) % 41.52/41.72 (assume @p712 (forall @t278 (=> (= @t383 @t172) @t609))) % 41.52/41.72 (assume @p713 (forall @t19 (=> @t595 (= @t176 (and @t761 (forall @t131 (=> @t171 (= @t760 @t69)))))))) % 41.52/41.72 (assume @p714 (forall @t6 (=> @t326 (forall @t27 (=> @t150 (forall @t131 (= (= @t11 (tptp.meet_of_latt_set @t1 @t69)) (and @t253 (forall @t184 (=> @t183 (=> (tptp.latt_set_smaller @t1 @t169 @t69) (tptp.below_refl @t1 @t169 @t11)))))))))))) % 41.52/41.72 (assume @p715 (forall @t19 (=> @t20 (= (tptp.apply @t175 @t11) @t11)))) % 41.52/41.72 (assume @p716 (forall @t19 (tptp.subset @t376 @t1))) % 41.52/41.72 (assume @p717 (forall @t6 (=> @t93 (and (= @t378 (tptp.relation_dom @t390)) (= @t210 (tptp.relation_rng @t390)))))) % 41.52/41.72 (assume @p718 (forall @t75 (= (tptp.subset @t152 @t69) (and @t623 @t357)))) % 41.52/41.72 (assume @p719 (forall @t19 (=> @t177 (=> (and @t617 (tptp.subset @t1 @t319)) @t810)))) % 41.52/41.72 (assume @p720 (forall @t19 (= @t832 @t154))) % 41.52/41.72 (assume @p721 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 41.52/41.72 (assume @p722 (forall @t6 (and @t533 (= (tptp.bottom_of_semilattstr @t290) tptp.empty_set)))) % 41.52/41.72 (assume @p723 (forall @t75 (not (and @t22 @t357 @t171)))) % 41.52/41.72 (assume @p724 (forall @t19 (= @t624 @t179))) % 41.52/41.72 (assume @p725 (forall @t6 (tptp.transitive @t320))) % 41.52/41.72 (assume @p726 (forall @t19 (and (not (and @t834 (forall @t131 (not @t833)))) (not (and (exists @t131 @t833) @t399))))) % 41.52/41.72 (assume @p727 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t285))) % 41.52/41.72 (assume @p728 (forall @t19 (= (tptp.set_difference @t154 @t11) @t376))) % 41.52/41.72 (assume @p729 (forall @t6 (=> @t64 (= @t380 (forall @t27 (=> @t61 (=> @t20 (tptp.in @t751 @t1)))))))) % 41.52/41.72 (assume @p730 (forall @t6 (=> @t270 (forall @t27 (=> @t235 (forall @t131 (=> @t230 (tptp.subset @t262 (tptp.lim_points_of_net @t1 @t69))))))))) % 41.52/41.72 (assume @p731 (forall @t6 (=> @t64 (and (not (and (not @t380) (forall @t27 (=> @t61 (not @t835))))) (not (and (exists @t27 (and @t61 @t835)) @t380)))))) % 41.52/41.72 (assume @p732 (forall @t6 (=> @t836 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 41.52/41.72 (assume @p733 (forall @t19 (=> @t57 (forall @t131 (=> @t164 (= @t838 (tptp.subset @t11 @t837))))))) % 41.52/41.72 (assume @p734 (forall @t6 (=> @t596 (forall @t27 (=> @t303 (=> @t338 (tptp.closed_subset @t776 @t1))))))) % 41.52/41.72 (assume @p735 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (tptp.subset @t839 @t210)))))) % 41.52/41.72 (assume @p736 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (tptp.subset @t312 @t11)))))) % 41.52/41.72 (assume @p737 (forall @t6 (=> @t836 (forall @t27 (=> @t150 (tptp.related @t1 @t208 @t11)))))) % 41.52/41.72 (assume @p738 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (forall @t131 (=> (tptp.in @t69 @t3) (= @t841 (forall @t184 (=> @t766 (=> @t840 @t307))))))))))) % 41.52/41.72 (assume @p739 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (tptp.subset @t787 @t280)))))) % 41.52/41.72 (assume @p740 (forall @t19 (=> @t179 (= @t11 @t832)))) % 41.52/41.72 (assume @p741 (forall @t278 (=> @t807 (=> @t329 (forall @t201 (= (tptp.in @t191 (tptp.relation_inverse_image @t169 @t69)) (and @t215 (tptp.in (tptp.apply @t169 @t191) @t69)))))))) % 41.52/41.72 (assume @p742 (forall @t6 (=> @t596 (forall @t27 (=> @t101 (exists @t131 (and @t350 (forall @t184 (=> @t766 (= @t211 @t840))) (= @t243 (tptp.meet_of_subsets @t3 @t69))))))))) % 41.52/41.72 (assume @p743 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (=> (tptp.subset @t378 @t279) (= @t839 @t210))))))) % 41.52/41.72 (assume @p744 (forall @t19 (=> @t410 @t768))) % 41.52/41.72 (assume @p745 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (=> (tptp.subset @t210 @t280) (= (tptp.relation_rng @t518) @t378))))))) % 41.52/41.72 (assume @p746 (forall @t19 (=> @t410 (=> @t329 (= (tptp.subset_difference @t1 @t370 @t488) @t770))))) % 41.52/41.72 (assume @p747 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (tptp.subset @t11 @t243)))))) % 41.52/41.72 (assume @p748 (forall @t19 (=> @t410 (=> @t329 (= @t772 (tptp.subset_difference @t1 @t370 @t492)))))) % 41.52/41.72 (assume @p749 (forall @t19 (= (tptp.set_difference @t1 @t376) @t159))) % 41.52/41.72 (assume @p750 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t398 (=> @t397 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t69)))))))))) % 41.52/41.72 (assume @p751 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 41.52/41.72 (assume @p752 (forall @t75 (=> (and @t22 @t842) (tptp.element @t1 @t69)))) % 41.52/41.72 (assume @p753 (forall @t6 (= @t771 @t56))) % 41.52/41.72 (assume @p754 (forall @t6 (=> @t64 (tptp.connected @t320)))) % 41.52/41.72 (assume @p755 (forall @t19 (and (not (and @t834 (forall @t131 (not @t843)))) (not (and (exists @t131 @t843) @t399))))) % 41.52/41.72 (assume @p756 (forall @t6 (= @t344 (tptp.incl_POSet @t56)))) % 41.52/41.72 (assume @p757 (forall @t6 (=> @t326 (and @t33 @t79 @t78 @t10 (= @t255 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 41.52/41.72 (assume @p758 (forall @t6 (=> @t309 (forall @t27 (=> @t57 (forall @t131 (=> @t453 (=> @t355 (tptp.in @t69 @t382))))))))) % 41.52/41.72 (assume @p759 (forall @t6 (=> @t596 (forall @t27 (=> @t101 @t603))))) % 41.52/41.72 (assume @p760 (forall @t6 (=> @t245 (forall @t27 (=> @t101 (and (=> @t387 @t844) (=> (and @t269 @t844) @t387))))))) % 41.52/41.72 (assume @p761 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t398 (=> @t397 (and (=> @t92 @t126) (=> @t94 @t587) (=> @t252 @t808) (=> @t218 @t588) (=> @t340 @t831)))))))))) % 41.52/41.72 (assume @p762 (forall @t6 (=> @t214 (=> @t108 (forall @t27 (=> @t595 (= (= @t11 @t415) (and (= @t279 @t378) (forall @t174 (and (=> @t845 @t377) (=> @t377 @t845))))))))))) % 41.52/41.72 (assume @p763 (forall @t75 (=> @t164 (not (and (tptp.in @t11 @t837) @t357))))) % 41.52/41.72 (assume @p764 (forall @t6 (=> @t93 (forall @t27 (=> @t177 (forall @t131 (=> @t398 (=> (and @t371 @t397) @t617)))))))) % 41.52/41.72 (assume @p765 (forall @t6 (=> @t214 (=> @t108 (and (= @t378 (tptp.relation_dom @t415)) (= @t210 (tptp.relation_rng @t415))))))) % 41.52/41.72 (assume @p766 (forall @t6 (=> @t596 (forall @t27 (=> (tptp.top_str @t11) (forall @t131 (=> @t244 (forall @t184 (=> (tptp.element @t169 (tptp.powerset @t14)) (and (=> (tptp.open_subset @t169 @t11) (= (tptp.interior @t11 @t169) @t169)) (=> (= @t274 @t69) @t313))))))))))) % 41.52/41.72 (assume @p767 (forall @t6 (=> @t93 (=> (forall @t189 @t620) @t285)))) % 41.52/41.72 (assume @p768 (forall @t19 (=> @t595 (=> (and @t124 (tptp.in @t1 @t280)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t846 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t846 @t11) @t1))))))) % 41.52/41.72 (assume @p769 (forall @t6 (=> @t270 (forall @t27 (=> @t101 (forall @t131 (=> @t149 (=> (and @t381 @t304) (tptp.point_neighbourhood @t11 @t1 @t69))))))))) % 41.52/41.72 (assume @p770 (forall @t75 (not (and @t22 @t842 @t139)))) % 41.52/41.72 (assume @p771 (forall @t19 (=> @t57 (= @t627 (not (= @t11 @t1)))))) % 41.52/41.72 (assume @p772 (forall @t6 (=> @t207 (forall @t27 (=> @t303 (not (and @t351 @t286))))))) % 41.52/41.72 (assume @p773 (forall @t6 (=> @t93 (= @t340 (tptp.is_well_founded_in @t1 @t217))))) % 41.52/41.72 (assume @p774 (forall @t6 (tptp.antisymmetric @t320))) % 41.52/41.72 (assume @p775 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 41.52/41.72 (assume @p776 (forall @t19 (not (and @t179 @t23)))) % 41.52/41.72 (assume @p777 (forall @t6 (=> @t5 (forall @t27 (=> @t145 (forall @t131 (=> @t149 (forall @t184 (=> @t183 (forall @t201 (=> @t200 (forall @t227 (=> @t392 (=> (and @t276 @t729 @t847) @t323)))))))))))))) % 41.52/41.72 (assume @p778 (forall @t6 (=> @t5 (forall @t27 (=> (and @t143 @t145) (forall @t131 (=> @t149 (forall @t184 (=> @t183 (forall @t201 (=> @t200 (forall @t227 (=> @t392 (=> (and @t276 @t729 @t323 (tptp.in @t191 @t14) (tptp.in @t222 @t14)) @t847)))))))))))))) % 41.52/41.72 (assume @p779 (forall @t6 (=> @t214 (=> @t108 (tptp.one_to_one @t415))))) % 41.52/41.72 (assume @p780 (forall @t75 (=> (and @t179 @t838) (tptp.disjoint @t1 @t69)))) % 41.52/41.72 (assume @p781 (forall @t6 (=> @t93 (=> (or @t849 @t848) @t285)))) % 41.52/41.72 (assume @p782 (forall @t6 (=> @t93 (= @t849 @t848)))) % 41.52/41.72 (assume @p783 (forall @t19 (= (= (tptp.set_difference @t1 @t621) @t1) @t21))) % 41.52/41.72 (assume @p784 (forall @t19 (=> @t595 (forall @t131 (=> @t398 (= (= @t11 @t625) (and (= @t279 (tptp.set_intersection2 @t373 @t1)) (forall @t184 (=> (tptp.in @t169 @t279) (= (tptp.apply @t11 @t169) @t396)))))))))) % 41.52/41.72 (assume @p785 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t297))) % 41.52/41.72 (assume @p786 (forall @t6 (=> @t54 @t285))) % 41.52/41.72 (assume @p787 (forall @t278 (=> @t807 (=> @t171 (or @t286 (tptp.in @t806 @t784)))))) % 41.52/41.72 (assume @p788 (forall @t6 (=> @t64 (tptp.well_founded_relation @t320)))) % 41.52/41.72 (assume @p789 (forall @t6 (=> @t5 (forall @t27 (=> @t150 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 41.52/41.72 (assume @p790 (forall @t6 (=> @t270 (forall @t27 (=> @t101 (forall @t131 (=> @t149 (= @t841 (forall @t184 (=> @t417 (not (tptp.disjoint @t169 @t11)))))))))))) % 41.52/41.72 (assume @p791 (forall @t19 (=> (tptp.subset @t297 @t621) @t180))) % 41.52/41.72 (assume @p792 (forall @t75 (=> @t398 (=> @t626 @t850)))) % 41.52/41.72 (assume @p793 (forall @t6 (and (= (tptp.relation_dom @t175) @t1) (= (tptp.relation_rng @t175) @t1)))) % 41.52/41.72 (assume @p794 (forall @t75 (=> @t398 (=> @t20 @t850)))) % 41.52/41.72 (assume @p795 (forall @t278 (=> @t697 (= (tptp.in @t383 (tptp.relation_composition (tptp.identity_relation @t69) @t169)) (and @t623 (tptp.in @t383 @t169)))))) % 41.52/41.72 (assume @p796 (forall @t19 (not (and @t22 @t132)))) % 41.52/41.72 (assume @p797 (forall @t6 (=> @t332 (forall @t27 (=> @t150 (forall @t131 (=> @t149 (= @t635 (tptp.related_reflexive @t331 @t353 (tptp.cast_to_el_of_LattPOSet @t1 @t69)))))))))) % 41.52/41.72 (assume @p798 (forall @t19 (and (= (tptp.pair_first @t383) @t1) (= (tptp.pair_second @t383) @t11)))) % 41.52/41.72 (assume @p799 (forall @t19 (not (and @t22 (forall @t131 (not (and @t304 (forall @t184 (not (and @t194 @t211)))))))))) % 41.52/41.72 (assume @p800 (forall @t6 (=> @t64 (tptp.well_ordering @t320)))) % 41.52/41.72 (assume @p801 (forall @t19 (tptp.subset @t1 @t154))) % 41.52/41.72 (assume @p802 (forall @t19 (= @t399 (= @t376 @t1)))) % 41.52/41.72 (assume @p803 (forall @t75 (=> @t95 (= (tptp.in @t1 (tptp.relation_dom @t777)) (and @t22 @t800))))) % 41.52/41.72 (assume @p804 (forall @t19 (=> @t177 (tptp.subset @t791 @t11)))) % 41.52/41.72 (assume @p805 (forall @t19 (not (and @t54 @t412 @t132)))) % 41.52/41.72 (assume @p806 (forall @t75 (=> @t398 (= @t801 (and @t800 (= @t11 @t803)))))) % 41.52/41.72 (assume @p807 (forall @t6 (=> @t207 (forall @t27 (=> @t206 (forall @t174 (=> @t318 (and (=> @t203 (tptp.is_eventually_in @t1 @t11 @t169)) (=> @t219 @t416))))))))) % 41.52/41.72 (assume @p808 (forall @t6 (=> (and @t33 @t31 @t41 @t40 @t46 @t5) (forall @t27 (=> (and @t133 @t98 @t324 @t101) (= (tptp.proper_element @t11 @t100) (not (tptp.in @t208 @t11)))))))) % 41.52/41.72 (assume @p809 (forall @t6 (=> @t93 (= (tptp.well_orders @t1 @t217) @t371)))) % 41.52/41.72 (assume @p810 (forall @t75 (=> (and @t179 @t349) (tptp.subset (tptp.set_union2 @t1 @t69) @t11)))) % 41.52/41.72 (assume @p811 (forall @t75 (=> @t851 @t180))) % 41.52/41.72 (assume @p812 (forall @t19 (=> @t177 (= (tptp.relation_dom @t791) @t781)))) % 41.52/41.72 (assume @p813 (forall @t6 (=> @t207 (forall @t27 (=> @t150 (= (tptp.apply_as_element @t3 @t3 @t190 @t11) @t11)))))) % 41.52/41.72 (assume @p814 (forall @t19 (=> @t177 (= @t791 (tptp.relation_composition @t175 @t11))))) % 41.52/41.72 (assume @p815 (forall @t19 (=> @t177 (tptp.subset (tptp.relation_rng @t791) @t280)))) % 41.52/41.72 (assume @p816 (forall @t6 (= (tptp.union @t56) @t1))) % 41.52/41.72 (assume @p817 (forall @t278 (=> @t807 (=> @t693 (or (and @t286 @t309) (and @t229 (tptp.quasi_total @t169 @t1 @t69) (tptp.relation_of2_as_subset @t169 @t1 @t69))))))) % 41.52/41.72 (assume @p818 (forall @t6 (exists @t27 (and @t22 @t775 (forall @t131 (not (and @t304 (forall @t184 (not (and @t194 (forall @t201 (=> (tptp.subset @t191 @t69) @t277)))))))) @t774)))) % 41.52/41.72 (assume @p819 (forall @t75 (=> @t851 @t294))) % 41.52/41.72 (step @p820 :rule aci_norm :args ((= @t861 (or @t32 @t859 @t858 @t857 @t856 @t855 @t854)))) % 41.52/41.72 (step @p821 :rule cong :premises (@p820) :args (@t862)) % 41.52/41.72 (step @p822 :rule quant-merge-prenex :args ((= (forall @t6 @t864) @t862))) % 41.52/41.72 (step @p823 :rule alpha_equiv :args (@t865 (@list @t852 @t853) (@list @t11 @t866))) % 41.52/41.72 (step @p824 :rule refl :args (@t858)) % 41.52/41.72 (step @p825 :rule refl :args (@t859)) % 41.52/41.72 (step @p826 :rule refl :args (@t32)) % 41.52/41.72 (step @p827 :rule nary_cong :premises (@p826 @p825 @p824 @p823) :args (@t867)) % 41.52/41.72 (step @p828 :rule quant-miniscope-or :args ((= @t864 @t867))) % 41.52/41.72 (step @p829 :rule trans :premises (@p828 @p827)) % 41.52/41.72 (step @p830 :rule symm :premises (@p829)) % 41.52/41.72 (step @p831 :rule cong :premises (@p830) :args ((forall @t6 @t874))) % 41.52/41.72 (step @p832 :rule trans :premises (@p831 @p822)) % 41.52/41.72 (step @p833 :rule trans :premises (@p832 @p821)) % 41.52/41.72 (step @p834 :rule aci_norm :args ((= (or @t875 @t873) @t874))) % 41.52/41.72 (step @p835 :rule refl :args (@t873)) % 41.52/41.72 (step @p836 :rule bool-double-not-elim :args (@t32)) % 41.52/41.72 (step @p837 :rule nary_cong :premises (@p836 @p825 @p824) :args (@t877)) % 41.52/41.72 (step @p838 :rule aci_norm :args ((= (or @t876 (or @t859 @t858)) @t877))) % 41.52/41.72 (step @p839 :rule trans :premises (@p838 @p837)) % 41.52/41.72 (step @p840 :rule bool-and-de-morgan :args (@t269 @t245 true)) % 41.52/41.72 (step @p841 :rule refl :args (@t876)) % 41.52/41.72 (step @p842 :rule nary_cong :premises (@p841 @p840) :args ((or @t876 (not @t596)))) % 41.52/41.72 (step @p843 :rule bool-and-de-morgan :args (@t33 @t269 (and @t245))) % 41.52/41.72 (step @p844 :rule trans :premises (@p843 @p842)) % 41.52/41.72 (step @p845 :rule trans :premises (@p844 @p839)) % 41.52/41.72 (step @p846 :rule nary_cong :premises (@p845 @p835) :args ((or @t878 @t873))) % 41.52/41.72 (step @p847 :rule trans :premises (@p846 @p834)) % 41.52/41.72 (step @p848 :rule bool-impl-elim :args (@t270 @t873)) % 41.52/41.72 (step @p849 :rule trans :premises (@p848 @p847)) % 41.52/41.72 (step @p850 :rule cong :premises (@p849) :args ((forall @t6 (=> @t270 @t873)))) % 41.52/41.72 (step @p851 :rule trans :premises (@p850 @p833)) % 41.52/41.72 (step @p852 :rule aci_norm :args ((= @t880 @t871))) % 41.52/41.72 (step @p853 :rule cong :premises (@p852) :args (@t881)) % 41.52/41.72 (step @p854 :rule quant-merge-prenex :args ((= (forall @t27 @t883) @t881))) % 41.52/41.72 (step @p855 :rule alpha_equiv :args (@t884 (@list @t866) @t885)) % 41.52/41.72 (step @p856 :rule refl :args (@t870)) % 41.52/41.72 (step @p857 :rule refl :args (@t204)) % 41.52/41.72 (step @p858 :rule nary_cong :premises (@p857 @p856 @p855) :args (@t886)) % 41.52/41.72 (step @p859 :rule quant-miniscope-or :args ((= @t883 @t886))) % 41.52/41.72 (step @p860 :rule trans :premises (@p859 @p858)) % 41.52/41.72 (step @p861 :rule symm :premises (@p860)) % 41.52/41.72 (step @p862 :rule cong :premises (@p861) :args ((forall @t27 @t890))) % 41.52/41.72 (step @p863 :rule trans :premises (@p862 @p854)) % 41.52/41.72 (step @p864 :rule trans :premises (@p863 @p853)) % 41.52/41.72 (step @p865 :rule aci_norm :args ((= (or (or @t204 @t870) @t889) @t890))) % 41.52/41.72 (step @p866 :rule refl :args (@t889)) % 41.52/41.72 (step @p867 :rule bool-double-not-elim :args (@t204)) % 41.52/41.72 (step @p868 :rule nary_cong :premises (@p867 @p856) :args ((or @t891 @t870))) % 41.52/41.72 (step @p869 :rule bool-and-de-morgan :args (@t205 @t16 true)) % 41.52/41.72 (step @p870 :rule trans :premises (@p869 @p868)) % 41.52/41.72 (step @p871 :rule nary_cong :premises (@p870 @p866) :args ((or (not @t206) @t889))) % 41.52/41.72 (step @p872 :rule trans :premises (@p871 @p865)) % 41.52/41.72 (step @p873 :rule bool-impl-elim :args (@t206 @t889)) % 41.52/41.72 (step @p874 :rule trans :premises (@p873 @p872)) % 41.52/41.72 (step @p875 :rule cong :premises (@p874) :args ((forall @t27 (=> @t206 @t889)))) % 41.52/41.72 (step @p876 :rule trans :premises (@p875 @p864)) % 41.52/41.72 (step @p877 :rule bool-impl-elim :args (@t149 @t887)) % 41.52/41.72 (step @p878 :rule cong :premises (@p877) :args ((forall @t131 (=> @t149 @t887)))) % 41.52/41.72 (step @p879 :rule bool-impl-elim :args (@t417 @t416)) % 41.52/41.72 (step @p880 :rule cong :premises (@p879) :args (@t418)) % 41.52/41.72 (step @p881 :rule refl :args (@t419)) % 41.52/41.72 (step @p882 :rule cong :premises (@p881 @p880) :args (@t420)) % 41.52/41.72 (step @p883 :rule refl :args (@t149)) % 41.52/41.72 (step @p884 :rule cong :premises (@p883 @p882) :args (@t421)) % 41.52/41.72 (step @p885 :rule cong :premises (@p884) :args (@t422)) % 41.52/41.72 (step @p886 :rule trans :premises (@p885 @p878)) % 41.52/41.72 (step @p887 :rule refl :args (@t206)) % 41.52/41.72 (step @p888 :rule cong :premises (@p887 @p886) :args (@t423)) % 41.52/41.72 (step @p889 :rule cong :premises (@p888) :args (@t424)) % 41.52/41.72 (step @p890 :rule trans :premises (@p889 @p876)) % 41.52/41.72 (step @p891 :rule refl :args (@t270)) % 41.52/41.72 (step @p892 :rule cong :premises (@p891 @p890) :args (@t425)) % 41.52/41.72 (step @p893 :rule cong :premises (@p892) :args (@t426)) % 41.52/41.72 (step @p894 :rule trans :premises (@p893 @p851)) % 41.52/41.72 (step @p895 :rule eq_resolve :premises (@p217 @p894)) % 41.52/41.72 (step @p896 :rule instantiate :premises (@p895) :args ((@list @t906 @t905 @t904))) % 41.52/41.72 (step @p897 :rule aci_norm :args ((= @t908 @t901))) % 41.52/41.72 (step @p898 :rule cong :premises (@p897) :args (@t909)) % 41.52/41.72 (step @p899 :rule quant-merge-prenex :args ((= (forall @t6 @t911) @t909))) % 41.52/41.72 (step @p900 :rule alpha_equiv :args (@t912 (@list @t893 @t892) (@list @t11 @t913))) % 41.52/41.72 (step @p901 :rule nary_cong :premises (@p826 @p825 @p824 @p900) :args (@t914)) % 41.52/41.72 (step @p902 :rule quant-miniscope-or :args ((= @t911 @t914))) % 41.52/41.72 (step @p903 :rule trans :premises (@p902 @p901)) % 41.52/41.72 (step @p904 :rule symm :premises (@p903)) % 41.52/41.72 (step @p905 :rule cong :premises (@p904) :args ((forall @t6 @t923))) % 41.52/41.72 (step @p906 :rule trans :premises (@p905 @p899)) % 41.52/41.72 (step @p907 :rule trans :premises (@p906 @p898)) % 41.52/41.72 (step @p908 :rule aci_norm :args ((= (or @t875 @t922) @t923))) % 41.52/41.72 (step @p909 :rule refl :args (@t922)) % 41.52/41.72 (step @p910 :rule nary_cong :premises (@p845 @p909) :args ((or @t878 @t922))) % 41.52/41.72 (step @p911 :rule trans :premises (@p910 @p908)) % 41.52/41.72 (step @p912 :rule bool-impl-elim :args (@t270 @t922)) % 41.52/41.72 (step @p913 :rule trans :premises (@p912 @p911)) % 41.52/41.72 (step @p914 :rule cong :premises (@p913) :args ((forall @t6 (=> @t270 @t922)))) % 41.52/41.72 (step @p915 :rule trans :premises (@p914 @p907)) % 41.52/41.72 (step @p916 :rule aci_norm :args ((= @t925 @t920))) % 41.52/41.72 (step @p917 :rule cong :premises (@p916) :args (@t926)) % 41.52/41.72 (step @p918 :rule quant-merge-prenex :args ((= (forall @t27 @t928) @t926))) % 41.52/41.72 (step @p919 :rule alpha_equiv :args (@t929 (@list @t913) @t885)) % 41.52/41.72 (step @p920 :rule refl :args (@t918)) % 41.52/41.72 (step @p921 :rule refl :args (@t919)) % 41.52/41.72 (step @p922 :rule nary_cong :premises (@p857 @p921 @p920 @p856 @p919) :args (@t930)) % 41.52/41.72 (step @p923 :rule quant-miniscope-or :args ((= @t928 @t930))) % 41.52/41.72 (step @p924 :rule trans :premises (@p923 @p922)) % 41.52/41.72 (step @p925 :rule symm :premises (@p924)) % 41.52/41.72 (step @p926 :rule cong :premises (@p925) :args ((forall @t27 @t934))) % 41.52/41.72 (step @p927 :rule trans :premises (@p926 @p918)) % 41.52/41.72 (step @p928 :rule trans :premises (@p927 @p917)) % 41.52/41.72 (step @p929 :rule aci_norm :args ((= (or @t935 @t933) @t934))) % 41.52/41.72 (step @p930 :rule refl :args (@t933)) % 41.52/41.72 (step @p931 :rule nary_cong :premises (@p867 @p921 @p920 @p856) :args (@t936)) % 41.52/41.72 (step @p932 :rule aci_norm :args ((= @t937 @t936))) % 41.52/41.72 (step @p933 :rule trans :premises (@p932 @p931)) % 41.52/41.72 (step @p934 :rule bool-and-de-morgan :args (@t234 @t16 true)) % 41.52/41.72 (step @p935 :rule nary_cong :premises (@p921 @p934) :args ((or @t919 (not (and @t234 @t16))))) % 41.52/41.72 (step @p936 :rule bool-and-de-morgan :args (@t144 @t234 (and @t16))) % 41.52/41.72 (step @p937 :rule trans :premises (@p936 @p935)) % 41.52/41.72 (step @p938 :rule refl :args (@t891)) % 41.52/41.72 (step @p939 :rule nary_cong :premises (@p938 @p937) :args ((or @t891 (not (and @t144 @t234 @t16))))) % 41.52/41.72 (step @p940 :rule bool-and-de-morgan :args (@t205 @t144 (and @t234 @t16))) % 41.52/41.72 (step @p941 :rule trans :premises (@p940 @p939)) % 41.52/41.72 (step @p942 :rule trans :premises (@p941 @p933)) % 41.52/41.72 (step @p943 :rule nary_cong :premises (@p942 @p930) :args ((or @t938 @t933))) % 41.52/41.72 (step @p944 :rule trans :premises (@p943 @p929)) % 41.52/41.72 (step @p945 :rule bool-impl-elim :args (@t235 @t933)) % 41.52/41.72 (step @p946 :rule trans :premises (@p945 @p944)) % 41.52/41.72 (step @p947 :rule cong :premises (@p946) :args ((forall @t27 (=> @t235 @t933)))) % 41.52/41.72 (step @p948 :rule trans :premises (@p947 @p928)) % 41.52/41.72 (step @p949 :rule aci_norm :args ((= (or @t888 (or @t931 @t419)) @t932))) % 41.52/41.72 (step @p950 :rule bool-impl-elim :args (@t821 @t419)) % 41.52/41.72 (step @p951 :rule refl :args (@t888)) % 41.52/41.72 (step @p952 :rule nary_cong :premises (@p951 @p950) :args ((or @t888 @t822))) % 41.52/41.72 (step @p953 :rule trans :premises (@p952 @p949)) % 41.52/41.72 (step @p954 :rule bool-impl-elim :args (@t149 @t822)) % 41.52/41.72 (step @p955 :rule trans :premises (@p954 @p953)) % 41.52/41.72 (step @p956 :rule cong :premises (@p955) :args (@t823)) % 41.52/41.72 (step @p957 :rule refl :args (@t235)) % 41.52/41.72 (step @p958 :rule cong :premises (@p957 @p956) :args (@t824)) % 41.52/41.72 (step @p959 :rule cong :premises (@p958) :args (@t825)) % 41.52/41.72 (step @p960 :rule trans :premises (@p959 @p948)) % 41.52/41.72 (step @p961 :rule cong :premises (@p891 @p960) :args (@t826)) % 41.52/41.72 (step @p962 :rule cong :premises (@p961) :args (@t827)) % 41.52/41.72 (step @p963 :rule trans :premises (@p962 @p915)) % 41.52/41.72 (step @p964 :rule cong :premises (@p963) :args (@t828)) % 41.52/41.72 (step @p965 :rule eq_resolve :premises (@p688 @p964)) % 41.52/41.72 (step @p966 :rule skolemize :premises (@p965)) % 41.52/41.72 (step @p967 :rule bool-double-not-elim :args (@t940)) % 41.52/41.72 (step @p968 :rule refl :args (@t958)) % 41.52/41.72 (step @p969 :rule nary_cong :premises (@p968 @p967) :args ((or @t958 (not @t945)))) % 41.52/41.72 (step @p970 :rule cnf_or_neg :args (@t958 7)) % 41.52/41.72 (step @p971 :rule eq_resolve :premises (@p970 @p969)) % 41.52/41.72 (step @p972 :rule reordering :premises (@p971) :args ((or @t940 @t958))) % 41.52/41.72 (step @p973 :rule chain_m_resolution :premises (@p972 @p966) :args (@t940 @t959 @t960)) % 41.52/41.72 (step @p974 :rule bool-double-not-elim :args (@t946)) % 41.52/41.72 (step @p975 :rule nary_cong :premises (@p968 @p974) :args ((or @t958 (not @t947)))) % 41.52/41.72 (step @p976 :rule cnf_or_neg :args (@t958 6)) % 41.52/41.72 (step @p977 :rule eq_resolve :premises (@p976 @p975)) % 41.52/41.72 (step @p978 :rule reordering :premises (@p977) :args ((or @t946 @t958))) % 41.52/41.72 (step @p979 :rule chain_m_resolution :premises (@p978 @p966) :args (@t946 @t959 @t960)) % 41.52/41.72 (step @p980 :rule cnf_or_neg :args (@t958 3)) % 41.52/41.72 (step @p981 :rule chain_m_resolution :premises (@p980 @p966) :args ((not @t952) @t959 @t960)) % 41.52/41.72 (step @p982 :rule bool-double-not-elim :args (@t953)) % 41.52/41.72 (step @p983 :rule nary_cong :premises (@p968 @p982) :args ((or @t958 (not @t954)))) % 41.52/41.72 (step @p984 :rule cnf_or_neg :args (@t958 2)) % 41.52/41.72 (step @p985 :rule eq_resolve :premises (@p984 @p983)) % 41.52/41.72 (step @p986 :rule reordering :premises (@p985) :args ((or @t953 @t958))) % 41.52/41.72 (step @p987 :rule chain_m_resolution :premises (@p986 @p966) :args (@t953 @t959 @t960)) % 41.52/41.72 (step @p988 :rule bool-double-not-elim :args (@t955)) % 41.52/41.72 (step @p989 :rule nary_cong :premises (@p968 @p988) :args ((or @t958 (not @t956)))) % 41.52/41.72 (step @p990 :rule cnf_or_neg :args (@t958 1)) % 41.52/41.72 (step @p991 :rule eq_resolve :premises (@p990 @p989)) % 41.52/41.72 (step @p992 :rule reordering :premises (@p991) :args ((or @t955 @t958))) % 41.52/41.72 (step @p993 :rule chain_m_resolution :premises (@p992 @p966) :args (@t955 @t959 @t960)) % 41.52/41.72 (step @p994 :rule cnf_or_neg :args (@t958 0)) % 41.52/41.72 (step @p995 :rule chain_m_resolution :premises (@p994 @p966) :args ((not @t957) @t959 @t960)) % 41.52/41.72 (step @p996 :rule cnf_or_pos :args (@t963)) % 41.52/41.72 (step @p997 :rule reordering :premises (@p996) :args ((or @t957 @t956 @t954 @t952 @t947 @t945 @t962 (not @t963)))) % 41.52/41.72 (step @p998 :rule chain_m_resolution :premises (@p997 @p995 @p993 @p987 @p981 @p979 @p973 @p896) :args (@t962 (@list true false false true false false false) (@list @t957 @t955 @t953 @t952 @t946 @t940 @t963))) % 41.52/41.72 (step @p999 :rule cnf_or_neg :args (@t958 9)) % 41.52/41.72 (step @p1000 :rule chain_m_resolution :premises (@p999 @p966) :args ((not @t941) @t959 @t960)) % 41.52/41.72 (step @p1001 :rule cnf_equiv_pos2 :args (@t962)) % 41.52/41.72 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t941 @t964 (not @t962)))) % 41.52/41.72 (step @p1003 :rule chain_m_resolution :premises (@p1002 @p1000 @p998) :args (@t964 (@list true false) (@list @t941 @t962))) % 41.52/41.72 (step @p1004 :rule skolemize :premises (@p1003)) % 41.52/41.72 (step @p1005 :rule bool-double-not-elim :args (@t966)) % 41.52/41.72 (step @p1006 :rule refl :args (@t969)) % 41.52/41.72 (step @p1007 :rule nary_cong :premises (@p1006 @p1005) :args ((or @t969 (not @t968)))) % 41.52/41.72 (step @p1008 :rule cnf_or_neg :args (@t969 0)) % 41.52/41.72 (step @p1009 :rule eq_resolve :premises (@p1008 @p1007)) % 41.52/41.72 (step @p1010 :rule reordering :premises (@p1009) :args ((or @t966 @t969))) % 41.52/41.72 (step @p1011 :rule chain_m_resolution :premises (@p1010 @p1004) :args (@t966 @t959 @t970)) % 41.52/41.72 (step @p1012 :rule eq-symm :args (@t972 @t973)) % 41.52/41.72 (step @p1013 :rule refl :args (@t976)) % 41.52/41.72 (step @p1014 :rule cong :premises (@p1013 @p1012) :args ((= @t976 @t977))) % 41.52/41.72 (step @p1015 :rule eq-symm :args (@t977 @t976)) % 41.52/41.72 (step @p1016 :rule trans :premises (@p1015 @p1014)) % 41.52/41.72 (step @p1017 :rule refl :args (@t978)) % 41.52/41.72 (step @p1018 :rule refl :args (@t979)) % 41.52/41.72 (step @p1019 :rule refl :args (@t980)) % 41.52/41.72 (step @p1020 :rule refl :args (@t981)) % 41.52/41.72 (step @p1021 :rule refl :args (@t982)) % 41.52/41.72 (step @p1022 :rule refl :args (@t858)) % 41.52/41.72 (step @p1023 :rule refl :args (@t859)) % 41.52/41.72 (step @p1024 :rule refl :args (@t32)) % 41.52/41.72 (step @p1025 :rule nary_cong :premises (@p1024 @p1023 @p1022 @p1021 @p1020 @p1019 @p1018 @p1017 @p1016) :args (@t984)) % 41.52/41.72 (step @p1026 :rule aci_norm :args ((= @t986 @t984))) % 41.52/41.72 (step @p1027 :rule trans :premises (@p1026 @p1025)) % 41.52/41.72 (step @p1028 :rule cong :premises (@p1027) :args (@t988)) % 41.52/41.72 (step @p1029 :rule quant-merge-prenex :args ((= (forall @t6 @t990) @t988))) % 41.52/41.72 (step @p1030 :rule alpha_equiv :args (@t991 (@list @t971 @t973) (@list @t11 @t992))) % 41.52/41.72 (step @p1031 :rule nary_cong :premises (@p826 @p825 @p824 @p1030) :args (@t993)) % 41.52/41.72 (step @p1032 :rule quant-miniscope-or :args ((= @t990 @t993))) % 41.52/41.72 (step @p1033 :rule trans :premises (@p1032 @p1031)) % 41.52/41.72 (step @p1034 :rule symm :premises (@p1033)) % 41.52/41.72 (step @p1035 :rule cong :premises (@p1034) :args ((forall @t6 @t999))) % 41.52/41.72 (step @p1036 :rule trans :premises (@p1035 @p1029)) % 41.52/41.72 (step @p1037 :rule trans :premises (@p1036 @p1028)) % 41.52/41.72 (step @p1038 :rule aci_norm :args ((= (or @t875 @t998) @t999))) % 41.52/41.72 (step @p1039 :rule refl :args (@t998)) % 41.52/41.72 (step @p1040 :rule nary_cong :premises (@p845 @p1039) :args ((or @t878 @t998))) % 41.52/41.72 (step @p1041 :rule trans :premises (@p1040 @p1038)) % 41.52/41.72 (step @p1042 :rule bool-impl-elim :args (@t270 @t998)) % 41.52/41.72 (step @p1043 :rule trans :premises (@p1042 @p1041)) % 41.52/41.72 (step @p1044 :rule cong :premises (@p1043) :args ((forall @t6 (=> @t270 @t998)))) % 41.52/41.72 (step @p1045 :rule trans :premises (@p1044 @p1037)) % 41.52/41.72 (step @p1046 :rule eq-symm :args (@t994 @t995)) % 41.52/41.72 (step @p1047 :rule refl :args (@t975)) % 41.52/41.72 (step @p1048 :rule nary_cong :premises (@p1047 @p1046) :args (@t1000)) % 41.52/41.72 (step @p1049 :rule cong :premises (@p1048) :args (@t1001)) % 41.52/41.72 (step @p1050 :rule eq-symm :args (@t992 @t262)) % 41.52/41.72 (step @p1051 :rule cong :premises (@p1050 @p1049) :args (@t1002)) % 41.52/41.72 (step @p1052 :rule refl :args (@t996)) % 41.52/41.72 (step @p1053 :rule refl :args (@t870)) % 41.52/41.72 (step @p1054 :rule refl :args (@t918)) % 41.52/41.72 (step @p1055 :rule refl :args (@t919)) % 41.52/41.72 (step @p1056 :rule refl :args (@t204)) % 41.52/41.72 (step @p1057 :rule nary_cong :premises (@p1056 @p1055 @p1054 @p1053 @p1052 @p1051) :args (@t1003)) % 41.52/41.72 (step @p1058 :rule aci_norm :args ((= @t1005 @t1003))) % 41.52/41.72 (step @p1059 :rule trans :premises (@p1058 @p1057)) % 41.52/41.72 (step @p1060 :rule cong :premises (@p1059) :args (@t1006)) % 41.52/41.72 (step @p1061 :rule quant-merge-prenex :args ((= (forall @t27 @t1008) @t1006))) % 41.52/41.72 (step @p1062 :rule alpha_equiv :args (@t1009 (@list @t992) @t885)) % 41.52/41.72 (step @p1063 :rule nary_cong :premises (@p857 @p921 @p920 @p856 @p1062) :args (@t1010)) % 41.52/41.72 (step @p1064 :rule quant-miniscope-or :args ((= @t1008 @t1010))) % 41.52/41.72 (step @p1065 :rule trans :premises (@p1064 @p1063)) % 41.52/41.72 (step @p1066 :rule symm :premises (@p1065)) % 41.52/41.72 (step @p1067 :rule cong :premises (@p1066) :args ((forall @t27 @t1014))) % 41.52/41.72 (step @p1068 :rule trans :premises (@p1067 @p1061)) % 41.52/41.72 (step @p1069 :rule trans :premises (@p1068 @p1060)) % 41.52/41.72 (step @p1070 :rule aci_norm :args ((= (or @t935 @t1013) @t1014))) % 41.52/41.72 (step @p1071 :rule refl :args (@t1013)) % 41.52/41.72 (step @p1072 :rule nary_cong :premises (@p942 @p1071) :args ((or @t938 @t1013))) % 41.52/41.72 (step @p1073 :rule trans :premises (@p1072 @p1070)) % 41.52/41.72 (step @p1074 :rule bool-impl-elim :args (@t235 @t1013)) % 41.52/41.72 (step @p1075 :rule trans :premises (@p1074 @p1073)) % 41.52/41.72 (step @p1076 :rule cong :premises (@p1075) :args ((forall @t27 (=> @t235 @t1013)))) % 41.52/41.72 (step @p1077 :rule trans :premises (@p1076 @p1069)) % 41.52/41.72 (step @p1078 :rule bool-impl-elim :args (@t244 @t1012)) % 41.52/41.72 (step @p1079 :rule cong :premises (@p1078) :args ((forall @t131 (=> @t244 @t1012)))) % 41.52/41.72 (step @p1080 :rule bool-impl-elim :args (@t183 @t1011)) % 41.52/41.72 (step @p1081 :rule cong :premises (@p1080) :args ((forall @t184 (=> @t183 @t1011)))) % 41.52/41.72 (step @p1082 :rule bool-impl-elim :args (@t257 @t256)) % 41.52/41.72 (step @p1083 :rule cong :premises (@p1082) :args (@t258)) % 41.52/41.72 (step @p1084 :rule refl :args (@t211)) % 41.52/41.72 (step @p1085 :rule cong :premises (@p1084 @p1083) :args (@t259)) % 41.52/41.72 (step @p1086 :rule refl :args (@t183)) % 41.52/41.72 (step @p1087 :rule cong :premises (@p1086 @p1085) :args (@t260)) % 41.52/41.72 (step @p1088 :rule cong :premises (@p1087) :args (@t261)) % 41.52/41.72 (step @p1089 :rule trans :premises (@p1088 @p1081)) % 41.52/41.72 (step @p1090 :rule refl :args (@t263)) % 41.52/41.72 (step @p1091 :rule cong :premises (@p1090 @p1089) :args (@t264)) % 41.52/41.72 (step @p1092 :rule refl :args (@t244)) % 41.52/41.72 (step @p1093 :rule cong :premises (@p1092 @p1091) :args (@t265)) % 41.52/41.72 (step @p1094 :rule cong :premises (@p1093) :args (@t266)) % 41.52/41.72 (step @p1095 :rule trans :premises (@p1094 @p1079)) % 41.52/41.72 (step @p1096 :rule cong :premises (@p957 @p1095) :args (@t267)) % 41.52/41.72 (step @p1097 :rule cong :premises (@p1096) :args (@t268)) % 41.52/41.72 (step @p1098 :rule trans :premises (@p1097 @p1077)) % 41.52/41.72 (step @p1099 :rule cong :premises (@p891 @p1098) :args (@t271)) % 41.52/41.72 (step @p1100 :rule cong :premises (@p1099) :args (@t272)) % 41.52/41.72 (step @p1101 :rule trans :premises (@p1100 @p1045)) % 41.52/41.72 (step @p1102 :rule eq_resolve :premises (@p116 @p1101)) % 41.52/41.72 (step @p1103 :rule bool-eq-true :args (@t1019)) % 41.52/41.72 (step @p1104 :rule eq-refl :args (@t942)) % 41.52/41.72 (step @p1105 :rule eq-symm :args (@t1016 @t1017)) % 41.52/41.72 (step @p1106 :rule refl :args (@t1018)) % 41.52/41.72 (step @p1107 :rule nary_cong :premises (@p1106 @p1105) :args (@t1020)) % 41.52/41.72 (step @p1108 :rule cong :premises (@p1107) :args (@t1021)) % 41.52/41.72 (step @p1109 :rule cong :premises (@p1108 @p1104) :args (@t1022)) % 41.52/41.72 (step @p1110 :rule trans :premises (@p1109 @p1103)) % 41.52/41.72 (step @p1111 :rule refl :args (@t1024)) % 41.52/41.72 (step @p1112 :rule refl :args (@t947)) % 41.52/41.72 (step @p1113 :rule refl :args (@t949)) % 41.52/41.72 (step @p1114 :rule refl :args (@t951)) % 41.52/41.72 (step @p1115 :rule refl :args (@t952)) % 41.52/41.72 (step @p1116 :rule refl :args (@t954)) % 41.52/41.72 (step @p1117 :rule refl :args (@t956)) % 41.52/41.72 (step @p1118 :rule refl :args (@t957)) % 41.52/41.72 (step @p1119 :rule nary_cong :premises (@p1118 @p1117 @p1116 @p1115 @p1114 @p1113 @p1112 @p1111 @p1110) :args (@t1025)) % 41.52/41.72 (step @p1120 :rule refl :args (@t1026)) % 41.52/41.72 (step @p1121 :rule cong :premises (@p1120 @p1119) :args ((=> @t1026 @t1025))) % 41.52/41.72 (assume-push @p1251 @t1026) % 41.52/41.72 (step @p1123 :rule instantiate :premises (@p1102) :args ((@list @t906 @t905 @t942))) % 41.52/41.72 (step-pop @p1252 :rule scope :premises (@p1123)) % 41.52/41.72 (step @p1124 :rule process_scope :premises (@p1252) :args (@t1025)) % 41.52/41.72 (step @p1126 :rule eq_resolve :premises (@p1124 @p1121)) % 41.52/41.72 (step @p1127 :rule implies_elim :premises (@p1126)) % 41.52/41.72 (step @p1128 :rule chain_m_resolution :premises (@p1127 @p1102) :args (@t1027 (@list false) (@list @t1026))) % 41.52/41.72 (step @p1129 :rule aci_norm :args ((= (or (or @t32 @t859 @t858 @t204 @t919 @t918 @t870) @t449) (or @t32 @t859 @t858 @t204 @t919 @t918 @t870 @t449)))) % 41.52/41.72 (step @p1130 :rule refl :args (@t449)) % 41.52/41.72 (step @p1131 :rule nary_cong :premises (@p836 @p825 @p824 @p867 @p921 @p920 @p856) :args (@t1028)) % 41.52/41.72 (step @p1132 :rule aci_norm :args ((= (or @t876 (or @t859 (or @t858 @t937))) @t1028))) % 41.52/41.72 (step @p1133 :rule trans :premises (@p1132 @p1131)) % 41.52/41.72 (step @p1134 :rule nary_cong :premises (@p824 @p941) :args ((or @t858 @t938))) % 41.52/41.72 (step @p1135 :rule bool-and-de-morgan :args (@t245 @t205 (and @t144 @t234 @t16))) % 41.52/41.72 (step @p1136 :rule trans :premises (@p1135 @p1134)) % 41.52/41.72 (step @p1137 :rule nary_cong :premises (@p825 @p1136) :args ((or @t859 (not (and @t245 @t205 @t144 @t234 @t16))))) % 41.52/41.72 (step @p1138 :rule bool-and-de-morgan :args (@t269 @t245 (and @t205 @t144 @t234 @t16))) % 41.52/41.72 (step @p1139 :rule trans :premises (@p1138 @p1137)) % 41.52/41.72 (step @p1140 :rule nary_cong :premises (@p841 @p1139) :args ((or @t876 (not (and @t269 @t245 @t205 @t144 @t234 @t16))))) % 41.52/41.72 (step @p1141 :rule bool-and-de-morgan :args (@t33 @t269 (and @t245 @t205 @t144 @t234 @t16))) % 41.52/41.72 (step @p1142 :rule trans :premises (@p1141 @p1140)) % 41.52/41.72 (step @p1143 :rule trans :premises (@p1142 @p1133)) % 41.52/41.72 (step @p1144 :rule nary_cong :premises (@p1143 @p1130) :args ((or (not @t450) @t449))) % 41.52/41.72 (step @p1145 :rule trans :premises (@p1144 @p1129)) % 41.52/41.72 (step @p1146 :rule bool-impl-elim :args (@t450 @t449)) % 41.52/41.72 (step @p1147 :rule trans :premises (@p1146 @p1145)) % 41.52/41.72 (step @p1148 :rule cong :premises (@p1147) :args (@t451)) % 41.52/41.72 (step @p1149 :rule eq_resolve :premises (@p225 @p1148)) % 41.52/41.72 (step @p1150 :rule instantiate :premises (@p1149) :args ((@list @t906 @t905))) % 41.52/41.72 (step @p1151 :rule bool-double-not-elim :args (@t948)) % 41.52/41.72 (step @p1152 :rule nary_cong :premises (@p968 @p1151) :args ((or @t958 (not @t949)))) % 41.52/41.72 (step @p1153 :rule cnf_or_neg :args (@t958 5)) % 41.52/41.72 (step @p1154 :rule eq_resolve :premises (@p1153 @p1152)) % 41.52/41.72 (step @p1155 :rule reordering :premises (@p1154) :args ((or @t948 @t958))) % 41.52/41.72 (step @p1156 :rule chain_m_resolution :premises (@p1155 @p966) :args (@t948 @t959 @t960)) % 41.52/41.72 (step @p1157 :rule bool-double-not-elim :args (@t950)) % 41.52/41.72 (step @p1158 :rule nary_cong :premises (@p968 @p1157) :args ((or @t958 (not @t951)))) % 41.52/41.72 (step @p1159 :rule cnf_or_neg :args (@t958 4)) % 41.52/41.72 (step @p1160 :rule eq_resolve :premises (@p1159 @p1158)) % 41.52/41.72 (step @p1161 :rule reordering :premises (@p1160) :args ((or @t950 @t958))) % 41.52/41.72 (step @p1162 :rule chain_m_resolution :premises (@p1161 @p966) :args (@t950 @t959 @t960)) % 41.52/41.72 (step @p1163 :rule cnf_or_pos :args (@t1029)) % 41.52/41.72 (step @p1164 :rule reordering :premises (@p1163) :args ((or @t957 @t956 @t954 @t952 @t951 @t949 @t947 @t1023 (not @t1029)))) % 41.52/41.72 (step @p1165 :rule chain_m_resolution :premises (@p1164 @p995 @p993 @p987 @p981 @p1162 @p1156 @p979 @p1150) :args (@t1023 (@list true false false true false false false false) (@list @t957 @t955 @t953 @t952 @t950 @t948 @t946 @t1029))) % 41.52/41.72 (step @p1166 :rule cnf_or_pos :args (@t1027)) % 41.52/41.72 (step @p1167 :rule reordering :premises (@p1166) :args ((or @t957 @t956 @t954 @t952 @t951 @t949 @t947 @t1024 @t1019 (not @t1027)))) % 41.52/41.72 (step @p1168 :rule chain_m_resolution :premises (@p1167 @p995 @p993 @p987 @p981 @p1162 @p1156 @p979 @p1165 @p1128) :args (@t1019 (@list true false false true false false false false false) (@list @t957 @t955 @t953 @t952 @t950 @t948 @t946 @t1023 @t1027))) % 41.52/41.72 (step @p1169 :rule instantiate :premises (@p1168) :args ((@list @t904))) % 41.52/41.72 (step @p1170 :rule cnf_or_pos :args (@t1032)) % 41.52/41.72 (step @p1171 :rule reordering :premises (@p1170) :args ((or @t945 @t1031 (not @t1032)))) % 41.52/41.72 (step @p1172 :rule chain_m_resolution :premises (@p1171 @p973 @p1169) :args (@t1031 @t1033 (@list @t940 @t1032))) % 41.52/41.72 (step @p1173 :rule bool-double-not-elim :args (@t943)) % 41.52/41.72 (step @p1174 :rule nary_cong :premises (@p968 @p1173) :args ((or @t958 (not @t944)))) % 41.52/41.72 (step @p1175 :rule cnf_or_neg :args (@t958 8)) % 41.52/41.72 (step @p1176 :rule eq_resolve :premises (@p1175 @p1174)) % 41.52/41.72 (step @p1177 :rule reordering :premises (@p1176) :args ((or @t943 @t958))) % 41.52/41.72 (step @p1178 :rule chain_m_resolution :premises (@p1177 @p966) :args (@t943 @t959 @t960)) % 41.52/41.72 (step @p1179 :rule cnf_equiv_pos1 :args (@t1031)) % 41.52/41.72 (step @p1180 :rule reordering :premises (@p1179) :args ((or @t944 @t1030 (not @t1031)))) % 41.52/41.72 (step @p1181 :rule chain_m_resolution :premises (@p1180 @p1178 @p1172) :args (@t1030 @t1033 (@list @t943 @t1031))) % 41.52/41.72 (step @p1182 :rule instantiate :premises (@p1181) :args ((@list @t965))) % 41.52/41.72 (step @p1183 :rule aci_norm :args ((= @t1044 (or @t32 @t1042 @t1041 @t1040 @t1039 @t1038 @t1037 @t1036)))) % 41.52/41.72 (step @p1184 :rule cong :premises (@p1183) :args (@t1045)) % 41.52/41.72 (step @p1185 :rule quant-merge-prenex :args ((= (forall @t6 @t1047) @t1045))) % 41.52/41.72 (step @p1186 :rule alpha_equiv :args (@t1048 (@list @t1035 @t1034) (@list @t11 @t1049))) % 41.52/41.72 (step @p1187 :rule refl :args (@t1042)) % 41.52/41.72 (step @p1188 :rule nary_cong :premises (@p826 @p1187 @p1186) :args (@t1050)) % 41.52/41.72 (step @p1189 :rule quant-miniscope-or :args ((= @t1047 @t1050))) % 41.52/41.72 (step @p1190 :rule trans :premises (@p1189 @p1188)) % 41.52/41.72 (step @p1191 :rule symm :premises (@p1190)) % 41.52/41.72 (step @p1192 :rule cong :premises (@p1191) :args ((forall @t6 @t1056))) % 41.52/41.72 (step @p1193 :rule trans :premises (@p1192 @p1185)) % 41.52/41.72 (step @p1194 :rule trans :premises (@p1193 @p1184)) % 41.52/41.72 (step @p1195 :rule aci_norm :args ((= (or (or @t32 @t1042) @t1055) @t1056))) % 41.52/41.72 (step @p1196 :rule refl :args (@t1055)) % 41.52/41.72 (step @p1197 :rule nary_cong :premises (@p836 @p1187) :args ((or @t876 @t1042))) % 41.52/41.72 (step @p1198 :rule bool-and-de-morgan :args (@t33 @t17 true)) % 41.52/41.72 (step @p1199 :rule trans :premises (@p1198 @p1197)) % 41.52/41.72 (step @p1200 :rule nary_cong :premises (@p1199 @p1196) :args ((or (not @t207) @t1055))) % 41.52/41.72 (step @p1201 :rule trans :premises (@p1200 @p1195)) % 41.52/41.74 (step @p1202 :rule bool-impl-elim :args (@t207 @t1055)) % 41.52/41.74 (step @p1203 :rule trans :premises (@p1202 @p1201)) % 41.52/41.74 (step @p1204 :rule cong :premises (@p1203) :args ((forall @t6 (=> @t207 @t1055)))) % 41.52/41.74 (step @p1205 :rule trans :premises (@p1204 @p1194)) % 41.52/41.74 (step @p1206 :rule aci_norm :args ((= @t1058 @t1053))) % 41.52/41.74 (step @p1207 :rule cong :premises (@p1206) :args (@t1059)) % 41.52/41.74 (step @p1208 :rule quant-merge-prenex :args ((= (forall @t27 @t1061) @t1059))) % 41.52/41.74 (step @p1209 :rule alpha_equiv :args (@t1062 (@list @t1049) @t885)) % 41.52/41.74 (step @p1210 :rule nary_cong :premises (@p857 @p921 @p920 @p856 @p1209) :args (@t1063)) % 41.52/41.74 (step @p1211 :rule quant-miniscope-or :args ((= @t1061 @t1063))) % 41.52/41.74 (step @p1212 :rule trans :premises (@p1211 @p1210)) % 41.52/41.74 (step @p1213 :rule symm :premises (@p1212)) % 41.52/41.74 (step @p1214 :rule cong :premises (@p1213) :args ((forall @t27 @t1065))) % 41.52/41.74 (step @p1215 :rule trans :premises (@p1214 @p1208)) % 41.52/41.74 (step @p1216 :rule trans :premises (@p1215 @p1207)) % 41.52/41.74 (step @p1217 :rule aci_norm :args ((= (or @t935 @t1064) @t1065))) % 41.52/41.74 (step @p1218 :rule refl :args (@t1064)) % 41.52/41.74 (step @p1219 :rule nary_cong :premises (@p942 @p1218) :args ((or @t938 @t1064))) % 41.52/41.74 (step @p1220 :rule trans :premises (@p1219 @p1217)) % 41.52/41.74 (step @p1221 :rule bool-impl-elim :args (@t235 @t1064)) % 41.52/41.74 (step @p1222 :rule trans :premises (@p1221 @p1220)) % 41.52/41.74 (step @p1223 :rule cong :premises (@p1222) :args ((forall @t27 (=> @t235 @t1064)))) % 41.52/41.74 (step @p1224 :rule trans :premises (@p1223 @p1216)) % 41.52/41.74 (step @p1225 :rule bool-impl-elim :args (@t203 @t219)) % 41.52/41.74 (step @p1226 :rule cong :premises (@p1225) :args (@t814)) % 41.52/41.74 (step @p1227 :rule cong :premises (@p957 @p1226) :args (@t815)) % 41.52/41.74 (step @p1228 :rule cong :premises (@p1227) :args (@t816)) % 41.52/41.74 (step @p1229 :rule trans :premises (@p1228 @p1224)) % 41.52/41.74 (step @p1230 :rule refl :args (@t207)) % 41.52/41.74 (step @p1231 :rule cong :premises (@p1230 @p1229) :args (@t817)) % 41.52/41.74 (step @p1232 :rule cong :premises (@p1231) :args (@t818)) % 41.52/41.74 (step @p1233 :rule trans :premises (@p1232 @p1205)) % 41.52/41.74 (step @p1234 :rule eq_resolve :premises (@p685 @p1233)) % 41.52/41.74 (step @p1235 :rule instantiate :premises (@p1234) :args ((@list @t906 @t905 @t965))) % 41.52/41.74 (step @p1236 :rule cnf_or_neg :args (@t969 1)) % 41.52/41.74 (step @p1237 :rule chain_m_resolution :premises (@p1236 @p1004) :args ((not @t967) @t959 @t970)) % 41.52/41.74 (step @p1238 :rule bool-impl-elim :args (@t245 @t17)) % 41.52/41.74 (step @p1239 :rule cong :premises (@p1238) :args (@t507)) % 41.52/41.74 (step @p1240 :rule eq_resolve :premises (@p288 @p1239)) % 41.52/41.74 (step @p1241 :rule instantiate :premises (@p1240) :args ((@list @t906))) % 41.52/41.74 (step @p1242 :rule cnf_or_pos :args (@t1067)) % 41.52/41.74 (step @p1243 :rule reordering :premises (@p1242) :args ((or @t954 @t1066 (not @t1067)))) % 41.52/41.74 (step @p1244 :rule chain_m_resolution :premises (@p1243 @p987 @p1241) :args (@t1066 @t1033 (@list @t953 @t1067))) % 41.52/41.74 (step @p1245 :rule cnf_or_pos :args (@t1071)) % 41.52/41.74 (step @p1246 :rule reordering :premises (@p1245) :args ((or @t957 @t952 @t951 @t949 @t947 @t1070 @t967 @t1069 (not @t1071)))) % 41.52/41.74 (step @p1247 :rule chain_m_resolution :premises (@p1246 @p995 @p981 @p1162 @p1156 @p979 @p1244 @p1237 @p1235) :args (@t1069 (@list true true false false false false true false) (@list @t957 @t952 @t950 @t948 @t946 @t1066 @t967 @t1071))) % 41.52/41.74 (step @p1248 :rule cnf_or_pos :args (@t1072)) % 41.52/41.74 (step @p1249 :rule reordering :premises (@p1248) :args ((or @t968 @t1068 (not @t1072)))) % 41.52/41.74 (step @p1250 false :rule chain_m_resolution :premises (@p1249 @p1247 @p1182 @p1011) :args (false (@list true false false) (@list @t1068 @t1072 @t966))) % 41.52/41.74 ) % 41.52/41.74 % SZS output end Proof % 41.52/41.74 % cvc5 exiting %------------------------------------------------------------------------------