%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU375+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 : n025.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 08:51:33 AM UTC 2026 % Result : Theorem 35.51s 35.79s % Output : Proof 34.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU375+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 : n025.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 17:03:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.67 %----Proving TF0_NAR, FOF, or CNF % 35.51/35.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.51/35.79 --- Run --no-e-matching --full-saturate-quant at 6... % 35.51/35.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.51/35.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.51/35.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.51/35.79 % SZS status Theorem % 35.51/35.79 % SZS output start Proof % 35.51/35.79 ( % 35.51/35.79 (declare-sort $$unsorted 0) % 35.51/35.79 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.lattice (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.function (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.top_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.natural (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.finite (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.full_subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.empty_set $$unsorted) % 35.51/35.79 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.omega $$unsorted) % 35.51/35.79 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.centered (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.connected (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 35.51/35.79 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 35.51/35.79 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.51/35.79 (define @t1 () (@var "A" $$unsorted)) % 35.51/35.79 (define @t2 () (tptp.the_InternalRel @t1)) % 35.51/35.79 (define @t3 () (tptp.the_carrier @t1)) % 35.51/35.79 (define @t4 () (tptp.strict_rel_str @t1)) % 35.51/35.79 (define @t5 () (tptp.rel_str @t1)) % 35.51/35.79 (define @t6 () (@list @t1)) % 35.51/35.79 (define @t7 () (tptp.the_L_meet @t1)) % 35.51/35.79 (define @t8 () (tptp.the_L_join @t1)) % 35.51/35.79 (define @t9 () (tptp.strict_latt_str @t1)) % 35.51/35.79 (define @t10 () (tptp.latt_str @t1)) % 35.51/35.79 (define @t11 () (@var "B" $$unsorted)) % 35.51/35.79 (define @t12 () (tptp.in @t11 @t1)) % 35.51/35.79 (define @t13 () (not @t12)) % 35.51/35.79 (define @t14 () (tptp.in @t1 @t11)) % 35.51/35.79 (define @t15 () (@list @t1 @t11)) % 35.51/35.79 (define @t16 () (tptp.proper_subset @t11 @t1)) % 35.51/35.79 (define @t17 () (tptp.proper_subset @t1 @t11)) % 35.51/35.79 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 35.51/35.79 (define @t19 () (tptp.element @t11 @t1)) % 35.51/35.79 (define @t20 () (@list @t11)) % 35.51/35.79 (define @t21 () (tptp.v1_membered @t1)) % 35.51/35.79 (define @t22 () (tptp.v1_xreal_0 @t11)) % 35.51/35.79 (define @t23 () (tptp.v2_membered @t1)) % 35.51/35.79 (define @t24 () (tptp.v1_rat_1 @t11)) % 35.51/35.79 (define @t25 () (tptp.v3_membered @t1)) % 35.51/35.79 (define @t26 () (tptp.v1_int_1 @t11)) % 35.51/35.79 (define @t27 () (tptp.v4_membered @t1)) % 35.51/35.79 (define @t28 () (tptp.natural @t11)) % 35.51/35.79 (define @t29 () (tptp.v5_membered @t1)) % 35.51/35.79 (define @t30 () (tptp.empty @t1)) % 35.51/35.79 (define @t31 () (tptp.v1_membered @t11)) % 35.51/35.79 (define @t32 () (tptp.powerset @t1)) % 35.51/35.79 (define @t33 () (tptp.element @t11 @t32)) % 35.51/35.79 (define @t34 () (tptp.v2_membered @t11)) % 35.51/35.79 (define @t35 () (tptp.v3_membered @t11)) % 35.51/35.79 (define @t36 () (tptp.v4_membered @t11)) % 35.51/35.79 (define @t37 () (tptp.ordinal @t11)) % 35.51/35.79 (define @t38 () (tptp.epsilon_connected @t11)) % 35.51/35.79 (define @t39 () (tptp.epsilon_transitive @t11)) % 35.51/35.79 (define @t40 () (tptp.ordinal @t1)) % 35.51/35.79 (define @t41 () (tptp.finite @t1)) % 35.51/35.79 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 35.51/35.79 (define @t43 () (tptp.preboolean @t1)) % 35.51/35.79 (define @t44 () (tptp.function @t1)) % 35.51/35.79 (define @t45 () (@var "C" $$unsorted)) % 35.51/35.79 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 35.51/35.79 (define @t47 () (tptp.function @t45)) % 35.51/35.79 (define @t48 () (and @t47 @t46)) % 35.51/35.79 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 35.51/35.79 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 35.51/35.79 (define @t51 () (@list @t1 @t11 @t45)) % 35.51/35.79 (define @t52 () (tptp.bounded_lattstr @t1)) % 35.51/35.79 (define @t53 () (tptp.upper_bounded_semilattstr @t1)) % 35.51/35.79 (define @t54 () (tptp.lower_bounded_semilattstr @t1)) % 35.51/35.79 (define @t55 () (tptp.lattice @t1)) % 35.51/35.79 (define @t56 () (tptp.join_absorbing @t1)) % 35.51/35.79 (define @t57 () (tptp.meet_absorbing @t1)) % 35.51/35.79 (define @t58 () (tptp.meet_associative @t1)) % 35.51/35.79 (define @t59 () (tptp.meet_commutative @t1)) % 35.51/35.79 (define @t60 () (tptp.join_associative @t1)) % 35.51/35.79 (define @t61 () (tptp.join_commutative @t1)) % 35.51/35.79 (define @t62 () (tptp.empty_carrier @t1)) % 35.51/35.79 (define @t63 () (not @t62)) % 35.51/35.79 (define @t64 () (tptp.complete_latt_str @t1)) % 35.51/35.79 (define @t65 () (tptp.with_suprema_relstr @t1)) % 35.51/35.79 (define @t66 () (and @t63 @t61 @t60 @t59 @t58 @t57 @t56)) % 35.51/35.79 (define @t67 () (and @t63 @t55)) % 35.51/35.79 (define @t68 () (tptp.epsilon_connected @t1)) % 35.51/35.79 (define @t69 () (tptp.epsilon_transitive @t1)) % 35.51/35.79 (define @t70 () (and @t69 @t68)) % 35.51/35.79 (define @t71 () (tptp.reflexive @t1)) % 35.51/35.79 (define @t72 () (tptp.relation @t1)) % 35.51/35.79 (define @t73 () (tptp.transitive @t1)) % 35.51/35.79 (define @t74 () (tptp.relation @t45)) % 35.51/35.79 (define @t75 () (tptp.cartesian_product2 @t1 @t11)) % 35.51/35.79 (define @t76 () (tptp.element @t45 (tptp.powerset @t75))) % 35.51/35.79 (define @t77 () (tptp.with_infima_relstr @t1)) % 35.51/35.79 (define @t78 () (tptp.complete_relstr @t1)) % 35.51/35.79 (define @t79 () (and @t63 @t78)) % 35.51/35.79 (define @t80 () (tptp.v1_yellow_3 @t1)) % 35.51/35.79 (define @t81 () (tptp.natural @t1)) % 35.51/35.79 (define @t82 () (and @t69 @t68 @t40 @t81)) % 35.51/35.79 (define @t83 () (tptp.finite @t11)) % 35.51/35.79 (define @t84 () (tptp.one_to_one @t1)) % 35.51/35.79 (define @t85 () (and @t72 @t44 @t84)) % 35.51/35.79 (define @t86 () (and @t72 @t30 @t44)) % 35.51/35.79 (define @t87 () (tptp.one_to_one @t45)) % 35.51/35.79 (define @t88 () (and @t47 @t87 @t46 (tptp.onto @t45 @t1 @t11))) % 35.51/35.79 (define @t89 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 35.51/35.79 (define @t90 () (tptp.antisymmetric_relstr @t1)) % 35.51/35.79 (define @t91 () (tptp.transitive_relstr @t1)) % 35.51/35.79 (define @t92 () (tptp.reflexive_relstr @t1)) % 35.51/35.79 (define @t93 () (tptp.trivial_carrier @t1)) % 35.51/35.79 (define @t94 () (and @t63 @t52)) % 35.51/35.79 (define @t95 () (and @t63 @t54 @t53)) % 35.51/35.79 (define @t96 () (and @t69 @t68 @t40)) % 35.51/35.79 (define @t97 () (tptp.bounded_relstr @t1)) % 35.51/35.79 (define @t98 () (tptp.bijective @t11 @t1 @t1)) % 35.51/35.79 (define @t99 () (tptp.onto @t11 @t1 @t1)) % 35.51/35.79 (define @t100 () (tptp.quasi_total @t11 @t1 @t1)) % 35.51/35.79 (define @t101 () (tptp.one_to_one @t11)) % 35.51/35.79 (define @t102 () (tptp.function @t11)) % 35.51/35.79 (define @t103 () (tptp.reflexive @t11)) % 35.51/35.79 (define @t104 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 35.51/35.79 (define @t105 () (tptp.relation_of2 @t11 @t1 @t1)) % 35.51/35.79 (define @t106 () (tptp.upper_bounded_relstr @t1)) % 35.51/35.79 (define @t107 () (tptp.lower_bounded_relstr @t1)) % 35.51/35.79 (define @t108 () (and @t107 @t106)) % 35.51/35.79 (define @t109 () (@list @t45)) % 35.51/35.79 (define @t110 () (tptp.empty @t11)) % 35.51/35.79 (define @t111 () (not @t110)) % 35.51/35.79 (define @t112 () (tptp.complemented_lattstr @t1)) % 35.51/35.79 (define @t113 () (tptp.distributive_lattstr @t1)) % 35.51/35.79 (define @t114 () (tptp.boolean_lattstr @t1)) % 35.51/35.79 (define @t115 () (and @t63 @t114)) % 35.51/35.79 (define @t116 () (tptp.empty @t45)) % 35.51/35.79 (define @t117 () (not @t30)) % 35.51/35.79 (define @t118 () (and @t117 @t111)) % 35.51/35.79 (define @t119 () (tptp.modular_lattstr @t1)) % 35.51/35.79 (define @t120 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t45)) % 35.51/35.79 (define @t121 () (tptp.element @t45 @t3)) % 35.51/35.79 (define @t122 () (tptp.element @t11 @t3)) % 35.51/35.79 (define @t123 () (tptp.one_sorted_str @t1)) % 35.51/35.79 (define @t124 () (and @t63 @t123 @t122 @t121)) % 35.51/35.79 (define @t125 () (tptp.unordered_pair @t1 @t11)) % 35.51/35.79 (define @t126 () (tptp.set_union2 @t11 @t1)) % 35.51/35.79 (define @t127 () (tptp.set_union2 @t1 @t11)) % 35.51/35.79 (define @t128 () (tptp.join_commut @t1 @t11 @t45)) % 35.51/35.79 (define @t129 () (tptp.join_semilatt_str @t1)) % 35.51/35.79 (define @t130 () (and @t63 @t61 @t129 @t122 @t121)) % 35.51/35.79 (define @t131 () (tptp.set_intersection2 @t11 @t1)) % 35.51/35.79 (define @t132 () (tptp.set_intersection2 @t1 @t11)) % 35.51/35.79 (define @t133 () (tptp.meet_commut @t1 @t11 @t45)) % 35.51/35.79 (define @t134 () (tptp.meet_semilatt_str @t1)) % 35.51/35.79 (define @t135 () (and @t63 @t59 @t134 @t122 @t121)) % 35.51/35.79 (define @t136 () (tptp.subset_union2 @t1 @t11 @t45)) % 35.51/35.79 (define @t137 () (tptp.element @t45 @t32)) % 35.51/35.79 (define @t138 () (and @t33 @t137)) % 35.51/35.79 (define @t139 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 35.51/35.79 (define @t140 () (tptp.ordinal_subset @t1 @t11)) % 35.51/35.79 (define @t141 () (and @t40 @t37)) % 35.51/35.79 (define @t142 () (@var "D" $$unsorted)) % 35.51/35.79 (define @t143 () (= @t45 @t142)) % 35.51/35.79 (define @t144 () (tptp.in @t45 @t1)) % 35.51/35.79 (define @t145 () (tptp.ordered_pair @t45 @t142)) % 35.51/35.79 (define @t146 () (tptp.in @t145 @t11)) % 35.51/35.79 (define @t147 () (@list @t45 @t142)) % 35.51/35.79 (define @t148 () (tptp.identity_relation @t1)) % 35.51/35.79 (define @t149 () (= @t11 @t148)) % 35.51/35.79 (define @t150 () (tptp.relation @t11)) % 35.51/35.79 (define @t151 () (tptp.subset @t11 @t1)) % 35.51/35.79 (define @t152 () (tptp.subset @t1 @t11)) % 35.51/35.79 (define @t153 () (= @t1 @t11)) % 35.51/35.79 (define @t154 () (tptp.related @t1 @t142 @t45)) % 35.51/35.79 (define @t155 () (tptp.relstr_element_smaller @t1 @t11 @t142)) % 35.51/35.79 (define @t156 () (tptp.element @t142 @t3)) % 35.51/35.79 (define @t157 () (@list @t142)) % 35.51/35.79 (define @t158 () (forall @t157 (=> @t156 (=> @t155 @t154)))) % 35.51/35.79 (define @t159 () (tptp.relstr_element_smaller @t1 @t11 @t45)) % 35.51/35.79 (define @t160 () (tptp.meet_on_relstr @t1 @t11)) % 35.51/35.79 (define @t161 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 35.51/35.79 (define @t162 () (@list @t11 @t45)) % 35.51/35.79 (define @t163 () (tptp.identity_on_carrier @t1)) % 35.51/35.79 (define @t164 () (@var "E" $$unsorted)) % 35.51/35.79 (define @t165 () (tptp.ordered_pair @t142 @t164)) % 35.51/35.79 (define @t166 () (tptp.in @t165 @t1)) % 35.51/35.79 (define @t167 () (tptp.in @t142 @t11)) % 35.51/35.79 (define @t168 () (tptp.in @t165 @t45)) % 35.51/35.79 (define @t169 () (@list @t142 @t164)) % 35.51/35.79 (define @t170 () (tptp.relation_dom_restriction @t1 @t11)) % 35.51/35.79 (define @t171 () (tptp.in (tptp.apply_netmap @t1 @t11 @t164) @t45)) % 35.51/35.79 (define @t172 () (tptp.related @t11 @t142 @t164)) % 35.51/35.79 (define @t173 () (tptp.the_carrier @t11)) % 35.51/35.79 (define @t174 () (tptp.element @t164 @t173)) % 35.51/35.79 (define @t175 () (@list @t164)) % 35.51/35.79 (define @t176 () (tptp.element @t142 @t173)) % 35.51/35.79 (define @t177 () (tptp.is_eventually_in @t1 @t11 @t45)) % 35.51/35.79 (define @t178 () (tptp.net_str @t11 @t1)) % 35.51/35.79 (define @t179 () (tptp.empty_carrier @t11)) % 35.51/35.79 (define @t180 () (not @t179)) % 35.51/35.79 (define @t181 () (and @t180 @t178)) % 35.51/35.79 (define @t182 () (and @t63 @t123)) % 35.51/35.79 (define @t183 () (tptp.bottom_of_relstr @t1)) % 35.51/35.79 (define @t184 () (tptp.in @t164 @t11)) % 35.51/35.79 (define @t185 () (tptp.relation_dom @t1)) % 35.51/35.79 (define @t186 () (tptp.in @t142 @t45)) % 35.51/35.79 (define @t187 () (tptp.relation_image @t1 @t11)) % 35.51/35.79 (define @t188 () (= @t45 @t187)) % 35.51/35.79 (define @t189 () (and @t72 @t44)) % 35.51/35.79 (define @t190 () (tptp.in @t164 @t1)) % 35.51/35.79 (define @t191 () (tptp.relation_rng_restriction @t1 @t11)) % 35.51/35.79 (define @t192 () (tptp.relation_field @t1)) % 35.51/35.79 (define @t193 () (tptp.antisymmetric @t1)) % 35.51/35.79 (define @t194 () (tptp.is_often_in @t1 @t11 @t45)) % 35.51/35.79 (define @t195 () (tptp.apply @t1 @t142)) % 35.51/35.79 (define @t196 () (tptp.in @t142 @t185)) % 35.51/35.79 (define @t197 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 35.51/35.79 (define @t198 () (tptp.meet @t1 @t11 @t45)) % 35.51/35.79 (define @t199 () (forall @t109 (=> @t121 (and (= @t198 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 35.51/35.79 (define @t200 () (and @t63 @t134)) % 35.51/35.79 (define @t201 () (tptp.powerset @t3)) % 35.51/35.79 (define @t202 () (tptp.element @t164 @t201)) % 35.51/35.79 (define @t203 () (tptp.topstr_closure @t1 @t11)) % 35.51/35.79 (define @t204 () (tptp.element @t45 @t201)) % 35.51/35.79 (define @t205 () (tptp.element @t11 @t201)) % 35.51/35.79 (define @t206 () (tptp.top_str @t1)) % 35.51/35.79 (define @t207 () (tptp.ordered_pair @t164 @t142)) % 35.51/35.79 (define @t208 () (tptp.the_InternalRel @t11)) % 35.51/35.79 (define @t209 () (tptp.subrelstr @t11 @t1)) % 35.51/35.79 (define @t210 () (tptp.rel_str @t11)) % 35.51/35.79 (define @t211 () (tptp.connected @t1)) % 35.51/35.79 (define @t212 () (tptp.full_subrelstr @t11 @t1)) % 35.51/35.79 (define @t213 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 35.51/35.79 (define @t214 () (and @t63 @t10)) % 35.51/35.79 (define @t215 () (tptp.bottom_of_semilattstr @t1)) % 35.51/35.79 (define @t216 () (tptp.ordered_pair @t11 @t45)) % 35.51/35.79 (define @t217 () (tptp.interior @t1 @t45)) % 35.51/35.79 (define @t218 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 35.51/35.79 (define @t219 () (tptp.topological_space @t1)) % 35.51/35.79 (define @t220 () (and @t63 @t219 @t206)) % 35.51/35.79 (define @t221 () (= @t164 @t45)) % 35.51/35.79 (define @t222 () (not @t221)) % 35.51/35.79 (define @t223 () (tptp.in @t164 @t142)) % 35.51/35.79 (define @t224 () (@list @t1 @t11 @t45 @t142)) % 35.51/35.79 (define @t225 () (tptp.relation_dom @t11)) % 35.51/35.79 (define @t226 () (tptp.relation_rng @t11)) % 35.51/35.79 (define @t227 () (tptp.in (tptp.ordered_pair @t11 @t142) @t1)) % 35.51/35.79 (define @t228 () (tptp.in @t216 @t1)) % 35.51/35.79 (define @t229 () (@list @t11 @t45 @t142)) % 35.51/35.79 (define @t230 () (= @t45 tptp.empty_set)) % 35.51/35.79 (define @t231 () (= @t1 tptp.empty_set)) % 35.51/35.79 (define @t232 () (= @t11 tptp.empty_set)) % 35.51/35.79 (define @t233 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 35.51/35.79 (define @t234 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 35.51/35.79 (define @t235 () (tptp.element @t142 @t32)) % 35.51/35.79 (define @t236 () (tptp.boole_lattice @t1)) % 35.51/35.79 (define @t237 () (tptp.latt_str @t11)) % 35.51/35.79 (define @t238 () (tptp.join @t1 @t11 @t45)) % 35.51/35.79 (define @t239 () (and @t63 @t129)) % 35.51/35.79 (define @t240 () (= @t11 @t45)) % 35.51/35.79 (define @t241 () (= @t1 @t145)) % 35.51/35.79 (define @t242 () (exists @t162 (= @t1 @t216))) % 35.51/35.79 (define @t243 () (tptp.singleton @t1)) % 35.51/35.79 (define @t244 () (tptp.succ @t1)) % 35.51/35.79 (define @t245 () (tptp.the_topology @t1)) % 35.51/35.79 (define @t246 () (tptp.in @t11 @t245)) % 35.51/35.79 (define @t247 () (tptp.union_of_subsets @t3 @t11)) % 35.51/35.79 (define @t248 () (tptp.powerset @t201)) % 35.51/35.79 (define @t249 () (tptp.element @t11 @t248)) % 35.51/35.79 (define @t250 () (tptp.in @t45 @t11)) % 35.51/35.79 (define @t251 () (tptp.is_reflexive_in @t1 @t11)) % 35.51/35.79 (define @t252 () (= @t11 (tptp.set_meet @t1))) % 35.51/35.79 (define @t253 () (tptp.in @t45 @t142)) % 35.51/35.79 (define @t254 () (tptp.in @t142 @t1)) % 35.51/35.79 (define @t255 () (not @t231)) % 35.51/35.79 (define @t256 () (tptp.empty @t3)) % 35.51/35.79 (define @t257 () (tptp.subset_complement @t3 @t11)) % 35.51/35.79 (define @t258 () (tptp.interior @t1 @t11)) % 35.51/35.79 (define @t259 () (tptp.open_subset @t45 @t1)) % 35.51/35.79 (define @t260 () (tptp.open_subsets @t11 @t1)) % 35.51/35.79 (define @t261 () (tptp.related @t1 @t142 @t164)) % 35.51/35.79 (define @t262 () (tptp.element @t164 @t3)) % 35.51/35.79 (define @t263 () (tptp.directed_subset @t11 @t1)) % 35.51/35.79 (define @t264 () (= @t142 @t11)) % 35.51/35.79 (define @t265 () (tptp.subset @t45 @t142)) % 35.51/35.79 (define @t266 () (tptp.relation_field @t11)) % 35.51/35.79 (define @t267 () (tptp.inclusion_relation @t1)) % 35.51/35.79 (define @t268 () (tptp.inclusion_order @t1)) % 35.51/35.79 (define @t269 () (tptp.incl_POSet @t1)) % 35.51/35.79 (define @t270 () (tptp.join_of_latt_set @t1 @t11)) % 35.51/35.79 (define @t271 () (and @t63 @t55 @t64 @t10)) % 35.51/35.79 (define @t272 () (tptp.meet_of_latt_set @t1 @t11)) % 35.51/35.79 (define @t273 () (tptp.set_meet @t11)) % 35.51/35.79 (define @t274 () (not @t232)) % 35.51/35.79 (define @t275 () (tptp.k2_lattice3 @t1)) % 35.51/35.79 (define @t276 () (tptp.poset_of_lattice @t1)) % 35.51/35.79 (define @t277 () (and @t63 @t55 @t10)) % 35.51/35.79 (define @t278 () (= @t11 @t142)) % 35.51/35.79 (define @t279 () (tptp.empty_carrier_subset @t1)) % 35.51/35.79 (define @t280 () (tptp.in @t145 @t1)) % 35.51/35.79 (define @t281 () (tptp.union @t1)) % 35.51/35.79 (define @t282 () (= @t11 @t281)) % 35.51/35.79 (define @t283 () (forall @t109 (=> @t204 (=> @t250 (tptp.closed_subset @t45 @t1))))) % 35.51/35.79 (define @t284 () (tptp.closed_subsets @t11 @t1)) % 35.51/35.79 (define @t285 () (tptp.well_founded_relation @t1)) % 35.51/35.79 (define @t286 () (tptp.boole_POSet @t1)) % 35.51/35.79 (define @t287 () (@var "F" $$unsorted)) % 35.51/35.79 (define @t288 () (tptp.ordered_pair @t164 @t287)) % 35.51/35.79 (define @t289 () (tptp.in @t287 @t11)) % 35.51/35.79 (define @t290 () (@list @t164 @t287)) % 35.51/35.79 (define @t291 () (tptp.finite @t45)) % 35.51/35.79 (define @t292 () (tptp.subset @t45 @t11)) % 35.51/35.79 (define @t293 () (tptp.element @t45 @t248)) % 35.51/35.79 (define @t294 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 35.51/35.79 (define @t295 () (tptp.compact_top_space @t1)) % 35.51/35.79 (define @t296 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 35.51/35.79 (define @t297 () (tptp.below @t1 @t11 @t45)) % 35.51/35.79 (define @t298 () (not @t250)) % 35.51/35.79 (define @t299 () (not @t240)) % 35.51/35.79 (define @t300 () (tptp.in @t11 @t45)) % 35.51/35.79 (define @t301 () (tptp.cast_as_carrier_subset @t1)) % 35.51/35.79 (define @t302 () (forall @t109 (=> @t144 @t250))) % 35.51/35.79 (define @t303 () (not @t230)) % 35.51/35.79 (define @t304 () (tptp.is_well_founded_in @t1 @t11)) % 35.51/35.79 (define @t305 () (tptp.apply @t1 @t11)) % 35.51/35.79 (define @t306 () (= @t45 @t305)) % 35.51/35.79 (define @t307 () (tptp.in @t11 @t185)) % 35.51/35.79 (define @t308 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 35.51/35.79 (define @t309 () (tptp.the_carrier @t276)) % 35.51/35.79 (define @t310 () (tptp.element @t11 @t309)) % 35.51/35.79 (define @t311 () (tptp.in (tptp.ordered_pair @t142 @t45) @t1)) % 35.51/35.79 (define @t312 () (tptp.is_antisymmetric_in @t1 @t11)) % 35.51/35.79 (define @t313 () (tptp.cast_to_subset @t1)) % 35.51/35.79 (define @t314 () (tptp.well_ordering @t1)) % 35.51/35.79 (define @t315 () (tptp.relation_rng @t45)) % 35.51/35.79 (define @t316 () (tptp.relation_dom @t45)) % 35.51/35.79 (define @t317 () (= @t316 @t1)) % 35.51/35.79 (define @t318 () (tptp.equipotent @t1 @t11)) % 35.51/35.79 (define @t319 () (tptp.set_difference @t1 @t11)) % 35.51/35.79 (define @t320 () (and @t196 (= @t45 @t195))) % 35.51/35.79 (define @t321 () (tptp.relation_rng @t1)) % 35.51/35.79 (define @t322 () (= @t11 @t321)) % 35.51/35.79 (define @t323 () (tptp.being_limit_ordinal @t1)) % 35.51/35.79 (define @t324 () (tptp.open_subset @t11 @t1)) % 35.51/35.79 (define @t325 () (tptp.subset_complement @t1 @t11)) % 35.51/35.79 (define @t326 () (tptp.ordered_pair @t1 @t11)) % 35.51/35.79 (define @t327 () (tptp.is_connected_in @t1 @t11)) % 35.51/35.79 (define @t328 () (tptp.is_transitive_in @t1 @t11)) % 35.51/35.79 (define @t329 () (tptp.subset_difference @t3 @t301 @t11)) % 35.51/35.79 (define @t330 () (tptp.closed_subset @t11 @t1)) % 35.51/35.79 (define @t331 () (tptp.cartesian_product2 @t11 @t11)) % 35.51/35.79 (define @t332 () (tptp.relation_restriction @t1 @t11)) % 35.51/35.79 (define @t333 () (tptp.relation_inverse @t1)) % 35.51/35.79 (define @t334 () (tptp.apply @t45 @t164)) % 35.51/35.79 (define @t335 () (tptp.apply @t45 @t142)) % 35.51/35.79 (define @t336 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 35.51/35.79 (define @t337 () (and @t74 @t47)) % 35.51/35.79 (define @t338 () (tptp.disjoint @t1 @t11)) % 35.51/35.79 (define @t339 () (= @t142 @t45)) % 35.51/35.79 (define @t340 () (tptp.relstr_set_smaller @t1 @t11 @t142)) % 35.51/35.79 (define @t341 () (tptp.related @t1 @t45 @t142)) % 35.51/35.79 (define @t342 () (forall @t157 (=> @t156 (=> @t340 @t341)))) % 35.51/35.79 (define @t343 () (tptp.relstr_set_smaller @t1 @t11 @t45)) % 35.51/35.79 (define @t344 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 35.51/35.79 (define @t345 () (tptp.relation_of_lattice @t1)) % 35.51/35.79 (define @t346 () (@list @t287)) % 35.51/35.79 (define @t347 () (tptp.relation_composition @t1 @t11)) % 35.51/35.79 (define @t348 () (@list @t45 @t142 @t164)) % 35.51/35.79 (define @t349 () (tptp.complements_of_subsets @t1 @t11)) % 35.51/35.79 (define @t350 () (tptp.powerset @t32)) % 35.51/35.79 (define @t351 () (tptp.element @t11 @t350)) % 35.51/35.79 (define @t352 () (tptp.the_mapping @t1 @t11)) % 35.51/35.79 (define @t353 () (tptp.apply_netmap @t1 @t11 @t45)) % 35.51/35.79 (define @t354 () (tptp.element @t45 @t173)) % 35.51/35.79 (define @t355 () (not @t153)) % 35.51/35.79 (define @t356 () (tptp.the_carrier @t45)) % 35.51/35.79 (define @t357 () (tptp.subrelstr @t45 @t11)) % 35.51/35.79 (define @t358 () (tptp.subnetstr @t45 @t1 @t11)) % 35.51/35.79 (define @t359 () (tptp.net_str @t45 @t1)) % 35.51/35.79 (define @t360 () (tptp.function_inverse @t1)) % 35.51/35.79 (define @t361 () (tptp.related @t1 @t11 @t45)) % 35.51/35.79 (define @t362 () (tptp.join_on_relstr @t1 @t11)) % 35.51/35.79 (define @t363 () (tptp.full_subnetstr @t45 @t1 @t11)) % 35.51/35.79 (define @t364 () (= @t363 (and (tptp.full_subrelstr @t45 @t11) @t357))) % 35.51/35.79 (define @t365 () (forall @t109 (=> @t358 @t364))) % 35.51/35.79 (define @t366 () (=> @t178 @t365)) % 35.51/35.79 (define @t367 () (forall @t20 @t366)) % 35.51/35.79 (define @t368 () (=> @t123 @t367)) % 35.51/35.79 (define @t369 () (forall @t6 @t368)) % 35.51/35.79 (define @t370 () (tptp.rel_str_of @t1 @t11)) % 35.51/35.79 (define @t371 () (tptp.strict_rel_str @t370)) % 35.51/35.79 (define @t372 () (tptp.latt_str_of @t1 @t11 @t45)) % 35.51/35.79 (define @t373 () (tptp.strict_latt_str @t372)) % 35.51/35.79 (define @t374 () (tptp.cartesian_product2 @t1 @t1)) % 35.51/35.79 (define @t375 () (tptp.relation_of2 @t45 @t374 @t1)) % 35.51/35.79 (define @t376 () (tptp.quasi_total @t45 @t374 @t1)) % 35.51/35.79 (define @t377 () (tptp.relation_of2 @t11 @t374 @t1)) % 35.51/35.79 (define @t378 () (tptp.quasi_total @t11 @t374 @t1)) % 35.51/35.79 (define @t379 () (and @t102 @t378 @t377 @t47 @t376 @t375)) % 35.51/35.79 (define @t380 () (tptp.k8_filter_1 @t1 @t11)) % 35.51/35.79 (define @t381 () (tptp.k10_filter_1 @t1 @t11 @t45 @t142)) % 35.51/35.79 (define @t382 () (tptp.lattice @t11)) % 35.51/35.79 (define @t383 () (and @t63 @t55 @t10 @t180 @t382 @t237 @t121 @t176)) % 35.51/35.79 (define @t384 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t142)) % 35.51/35.79 (define @t385 () (tptp.element @t45 @t1)) % 35.51/35.79 (define @t386 () (and @t117 @t111 @t385 (tptp.element @t142 @t11))) % 35.51/35.79 (define @t387 () (tptp.strict_latt_str @t236)) % 35.51/35.79 (define @t388 () (tptp.k1_pcomps_1 @t1)) % 35.51/35.79 (define @t389 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 35.51/35.79 (define @t390 () (and @t206 @t205)) % 35.51/35.79 (define @t391 () (tptp.apply_on_structs @t1 @t11 @t45 @t142)) % 35.51/35.79 (define @t392 () (and @t63 @t123 @t180 (tptp.one_sorted_str @t11) @t47 (tptp.quasi_total @t45 @t3 @t173) (tptp.relation_of2 @t45 @t3 @t173) @t156)) % 35.51/35.79 (define @t393 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t142 @t164 @t287)) % 35.51/35.79 (define @t394 () (tptp.function @t142)) % 35.51/35.79 (define @t395 () (and @t117 @t111 @t394 (tptp.quasi_total @t142 @t75 @t45) (tptp.relation_of2 @t142 @t75 @t45) (tptp.element @t164 @t1) (tptp.element @t287 @t11))) % 35.51/35.79 (define @t396 () (@list @t1 @t11 @t45 @t142 @t164 @t287)) % 35.51/35.79 (define @t397 () (tptp.strict_rel_str @t269)) % 35.51/35.79 (define @t398 () (tptp.antisymmetric_relstr @t276)) % 35.51/35.79 (define @t399 () (tptp.transitive_relstr @t276)) % 35.51/35.79 (define @t400 () (tptp.reflexive_relstr @t276)) % 35.51/35.79 (define @t401 () (tptp.strict_rel_str @t276)) % 35.51/35.79 (define @t402 () (tptp.strict_rel_str @t286)) % 35.51/35.79 (define @t403 () (tptp.relation @t333)) % 35.51/35.79 (define @t404 () (tptp.relation @t347)) % 35.51/35.79 (define @t405 () (and @t72 @t150)) % 35.51/35.79 (define @t406 () (tptp.powerset @t11)) % 35.51/35.79 (define @t407 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 35.51/35.79 (define @t408 () (tptp.union_of_subsets @t1 @t11)) % 35.51/35.79 (define @t409 () (tptp.identity_as_relation_of @t1)) % 35.51/35.79 (define @t410 () (tptp.relation @t148)) % 35.51/35.79 (define @t411 () (tptp.meet_of_subsets @t1 @t11)) % 35.51/35.79 (define @t412 () (tptp.subset_difference @t1 @t11 @t45)) % 35.51/35.79 (define @t413 () (tptp.relation @t170)) % 35.51/35.79 (define @t414 () (tptp.apply_as_element @t1 @t11 @t45 @t142)) % 35.51/35.79 (define @t415 () (and @t117 @t47 @t46 @t50 (tptp.element @t142 @t1))) % 35.51/35.79 (define @t416 () (tptp.relation @t191)) % 35.51/35.79 (define @t417 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t45 @t142)) % 35.51/35.79 (define @t418 () (forall @t6 (=> @t5 @t123))) % 35.51/35.79 (define @t419 () (forall @t20 (=> @t178 @t210))) % 35.51/35.79 (define @t420 () (=> @t123 @t419)) % 35.51/35.79 (define @t421 () (forall @t6 @t420)) % 35.51/35.79 (define @t422 () (and @t63 @t219 @t206 @t122)) % 35.51/35.79 (define @t423 () (forall @t109 (=> @t358 @t359))) % 35.51/35.79 (define @t424 () (and @t123 @t178)) % 35.51/35.79 (define @t425 () (=> @t424 @t423)) % 35.51/35.79 (define @t426 () (forall @t15 @t425)) % 35.51/35.79 (define @t427 () (tptp.cartesian_product2 @t3 @t3)) % 35.51/35.79 (define @t428 () (tptp.quasi_total @t7 @t427 @t3)) % 35.51/35.79 (define @t429 () (tptp.function @t7)) % 35.51/35.79 (define @t430 () (tptp.quasi_total @t8 @t427 @t3)) % 35.51/35.79 (define @t431 () (tptp.function @t8)) % 35.51/35.79 (define @t432 () (tptp.finite @t132)) % 35.51/35.79 (define @t433 () (tptp.relation_composition @t11 @t1)) % 35.51/35.79 (define @t434 () (and @t30 @t150)) % 35.51/35.79 (define @t435 () (tptp.relation_empty_yielding tptp.empty_set)) % 35.51/35.79 (define @t436 () (tptp.relation tptp.empty_set)) % 35.51/35.79 (define @t437 () (tptp.empty tptp.empty_set)) % 35.51/35.79 (define @t438 () (tptp.relation_empty_yielding @t1)) % 35.51/35.79 (define @t439 () (and @t72 @t438)) % 35.51/35.79 (define @t440 () (and @t41 @t83)) % 35.51/35.79 (define @t441 () (not (tptp.empty @t243))) % 35.51/35.79 (define @t442 () (not (tptp.empty @t32))) % 35.51/35.79 (define @t443 () (tptp.boolean_lattstr @t236)) % 35.51/35.79 (define @t444 () (tptp.complemented_lattstr @t236)) % 35.51/35.79 (define @t445 () (tptp.bounded_lattstr @t236)) % 35.51/35.79 (define @t446 () (tptp.upper_bounded_semilattstr @t236)) % 35.51/35.79 (define @t447 () (tptp.lower_bounded_semilattstr @t236)) % 35.51/35.79 (define @t448 () (tptp.modular_lattstr @t236)) % 35.51/35.79 (define @t449 () (tptp.distributive_lattstr @t236)) % 35.51/35.79 (define @t450 () (tptp.lattice @t236)) % 35.51/35.79 (define @t451 () (tptp.join_absorbing @t236)) % 35.51/35.79 (define @t452 () (tptp.meet_absorbing @t236)) % 35.51/35.79 (define @t453 () (tptp.meet_associative @t236)) % 35.51/35.79 (define @t454 () (tptp.meet_commutative @t236)) % 35.51/35.79 (define @t455 () (tptp.join_associative @t236)) % 35.51/35.79 (define @t456 () (tptp.join_commutative @t236)) % 35.51/35.79 (define @t457 () (not (tptp.empty_carrier @t236))) % 35.51/35.79 (define @t458 () (not (tptp.empty @t244))) % 35.51/35.79 (define @t459 () (not @t256)) % 35.51/35.79 (define @t460 () (forall @t6 (=> @t182 @t459))) % 35.51/35.79 (define @t461 () (tptp.rel_str_of @t243 @t11)) % 35.51/35.79 (define @t462 () (tptp.with_infima_relstr @t276)) % 35.51/35.79 (define @t463 () (tptp.with_suprema_relstr @t276)) % 35.51/35.79 (define @t464 () (not (tptp.empty_carrier @t276))) % 35.51/35.79 (define @t465 () (tptp.v1_membered @t132)) % 35.51/35.79 (define @t466 () (tptp.v1_membered @t131)) % 35.51/35.79 (define @t467 () (tptp.v2_membered @t132)) % 35.51/35.79 (define @t468 () (tptp.ordinal @t244)) % 35.51/35.79 (define @t469 () (tptp.epsilon_connected @t244)) % 35.51/35.79 (define @t470 () (tptp.epsilon_transitive @t244)) % 35.51/35.79 (define @t471 () (not (tptp.empty @t125))) % 35.51/35.79 (define @t472 () (tptp.function @t148)) % 35.51/35.79 (define @t473 () (tptp.v1_partfun1 @t8 @t427 @t3)) % 35.51/35.79 (define @t474 () (tptp.relation @t8)) % 35.51/35.79 (define @t475 () (and @t63 @t61 @t129)) % 35.51/35.79 (define @t476 () (and @t219 @t206 @t205)) % 35.51/35.79 (define @t477 () (tptp.upper_bounded_relstr @t276)) % 35.51/35.79 (define @t478 () (tptp.v2_membered @t131)) % 35.51/35.79 (define @t479 () (tptp.v3_membered @t132)) % 35.51/35.79 (define @t480 () (tptp.v3_membered @t131)) % 35.51/35.79 (define @t481 () (tptp.v4_membered @t132)) % 35.51/35.79 (define @t482 () (tptp.v4_membered @t131)) % 35.51/35.79 (define @t483 () (tptp.v1_membered @t319)) % 35.51/35.79 (define @t484 () (tptp.v2_membered @t319)) % 35.51/35.79 (define @t485 () (tptp.v3_membered @t319)) % 35.51/35.79 (define @t486 () (tptp.transitive @t11)) % 35.51/35.79 (define @t487 () (tptp.antisymmetric @t11)) % 35.51/35.79 (define @t488 () (tptp.open_subset @t257 @t1)) % 35.51/35.79 (define @t489 () (tptp.lower_bounded_relstr @t276)) % 35.51/35.79 (define @t490 () (tptp.v4_membered @t319)) % 35.51/35.79 (define @t491 () (tptp.v1_partfun1 @t7 @t427 @t3)) % 35.51/35.79 (define @t492 () (tptp.relation @t7)) % 35.51/35.79 (define @t493 () (tptp.closed_subset @t257 @t1)) % 35.51/35.79 (define @t494 () (and @t150 @t102)) % 35.51/35.79 (define @t495 () (and @t219 @t206)) % 35.51/35.79 (define @t496 () (tptp.empty @t185)) % 35.51/35.79 (define @t497 () (and @t117 @t72)) % 35.51/35.79 (define @t498 () (tptp.antisymmetric_relstr @t269)) % 35.51/35.79 (define @t499 () (tptp.transitive_relstr @t269)) % 35.51/35.79 (define @t500 () (tptp.reflexive_relstr @t269)) % 35.51/35.79 (define @t501 () (tptp.empty @t321)) % 35.51/35.79 (define @t502 () (tptp.open_subset @t258 @t1)) % 35.51/35.79 (define @t503 () (tptp.antisymmetric_relstr @t286)) % 35.51/35.79 (define @t504 () (tptp.transitive_relstr @t286)) % 35.51/35.79 (define @t505 () (tptp.reflexive_relstr @t286)) % 35.51/35.79 (define @t506 () (not (tptp.empty_carrier @t286))) % 35.51/35.79 (define @t507 () (and @t180 @t382 @t237)) % 35.51/35.79 (define @t508 () (= @t1 @t142)) % 35.51/35.79 (define @t509 () (exists @t157 (and @t176 @t508 (tptp.latt_set_smaller @t11 @t142 @t45)))) % 35.51/35.79 (define @t510 () (= @t1 @t45)) % 35.51/35.79 (define @t511 () (and @t510 @t278)) % 35.51/35.79 (define @t512 () (= @t45 @t287)) % 35.51/35.79 (define @t513 () (@list @t142 @t164 @t287)) % 35.51/35.79 (define @t514 () (tptp.in @t11 @t192)) % 35.51/35.79 (define @t515 () (tptp.disjoint @t243 @t11)) % 35.51/35.79 (define @t516 () (not @t14)) % 35.51/35.79 (define @t517 () (tptp.well_ordering @t11)) % 35.51/35.79 (define @t518 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 35.51/35.79 (define @t519 () (tptp.singleton @t45)) % 35.51/35.79 (define @t520 () (not @t228)) % 35.51/35.79 (define @t521 () (tptp.singleton @t11)) % 35.51/35.79 (define @t522 () (tptp.union @t11)) % 35.51/35.79 (define @t523 () (tptp.in @t1 @t45)) % 35.51/35.79 (define @t524 () (tptp.element @t1 @t406)) % 35.51/35.79 (define @t525 () (tptp.relation_dom_restriction @t45 @t1)) % 35.51/35.79 (define @t526 () (tptp.in @t11 (tptp.relation_dom @t525))) % 35.51/35.79 (define @t527 () (tptp.proper_element @t11 @t32)) % 35.51/35.79 (define @t528 () (tptp.unordered_pair @t11 @t45)) % 35.51/35.79 (define @t529 () (tptp.set_union2 @t11 @t45)) % 35.51/35.79 (define @t530 () (tptp.set_intersection2 @t11 @t45)) % 35.51/35.79 (define @t531 () (tptp.set_difference @t11 @t45)) % 35.51/35.79 (define @t532 () (tptp.below_refl @t1 @t11 @t45)) % 35.51/35.79 (define @t533 () (and @t63 @t59 @t57 @t56 @t10 @t122 @t121)) % 35.51/35.79 (define @t534 () (and @t63 @t92 @t5 @t122 @t121)) % 35.51/35.79 (define @t535 () (@var "K" $$unsorted)) % 35.51/35.79 (define @t536 () (@var "J" $$unsorted)) % 35.51/35.79 (define @t537 () (tptp.in @t535 @t536)) % 35.51/35.79 (define @t538 () (@list @t535)) % 35.51/35.79 (define @t539 () (@list @t536)) % 35.51/35.79 (define @t540 () (= @t142 @t164)) % 35.51/35.79 (define @t541 () (@var "I" $$unsorted)) % 35.51/35.79 (define @t542 () (@var "H" $$unsorted)) % 35.51/35.79 (define @t543 () (tptp.in @t541 @t542)) % 35.51/35.79 (define @t544 () (@list @t541)) % 35.51/35.79 (define @t545 () (@list @t542)) % 35.51/35.79 (define @t546 () (exists @t545 (and (= @t45 @t542) (tptp.in @t164 @t542) (forall @t544 (=> @t543 (tptp.in (tptp.ordered_pair @t164 @t541) @t11)))))) % 35.51/35.79 (define @t547 () (@var "G" $$unsorted)) % 35.51/35.79 (define @t548 () (tptp.in @t547 @t287)) % 35.51/35.79 (define @t549 () (@list @t547)) % 35.51/35.79 (define @t550 () (exists @t346 (and @t512 (tptp.in @t142 @t287) (forall @t549 (=> @t548 (tptp.in (tptp.ordered_pair @t142 @t547) @t11)))))) % 35.51/35.79 (define @t551 () (forall @t348 (=> (and @t144 @t550 @t144 @t546) @t540))) % 35.51/35.79 (define @t552 () (and @t117 @t150)) % 35.51/35.79 (define @t553 () (= @t142 @t521)) % 35.51/35.79 (define @t554 () (= @t45 @t521)) % 35.51/35.79 (define @t555 () (forall @t229 (=> (and @t12 @t554 @t12 @t553) @t143))) % 35.51/35.79 (define @t556 () (tptp.subset_complement @t3 @t542)) % 35.51/35.79 (define @t557 () (= @t542 @t142)) % 35.51/35.79 (define @t558 () (tptp.element @t542 @t201)) % 35.51/35.79 (define @t559 () (forall @t545 (=> @t558 (=> @t557 (= @t164 @t556))))) % 35.51/35.79 (define @t560 () (tptp.complements_of_subsets @t3 @t11)) % 35.51/35.79 (define @t561 () (tptp.in @t142 @t560)) % 35.51/35.79 (define @t562 () (tptp.element @t547 @t201)) % 35.51/35.79 (define @t563 () (forall @t549 (=> @t562 (=> (= @t547 @t45) (= @t164 (tptp.subset_complement @t3 @t547)))))) % 35.51/35.79 (define @t564 () (tptp.in @t45 @t560)) % 35.51/35.79 (define @t565 () (tptp.element @t287 @t201)) % 35.51/35.79 (define @t566 () (forall @t346 (=> @t565 (=> (= @t287 @t45) (= @t142 (tptp.subset_complement @t3 @t287)))))) % 35.51/35.79 (define @t567 () (forall @t348 (=> (and @t564 @t566 @t564 @t563) @t540))) % 35.51/35.79 (define @t568 () (and @t123 @t249)) % 35.51/35.79 (define @t569 () (forall @t348 (=> (and @t250 @t566 @t250 @t563) @t540))) % 35.51/35.79 (define @t570 () (tptp.ordinal @t45)) % 35.51/35.79 (define @t571 () (@var "S" $$unsorted)) % 35.51/35.79 (define @t572 () (@var "T" $$unsorted)) % 35.51/35.79 (define @t573 () (@var "R" $$unsorted)) % 35.51/35.79 (define @t574 () (tptp.powerset (tptp.powerset @t142))) % 35.51/35.79 (define @t575 () (@list @t573)) % 35.51/35.79 (define @t576 () (tptp.in @t142 tptp.omega)) % 35.51/35.79 (define @t577 () (tptp.ordinal @t142)) % 35.51/35.79 (define @t578 () (@var "P" $$unsorted)) % 35.51/35.79 (define @t579 () (@var "Q" $$unsorted)) % 35.51/35.79 (define @t580 () (@var "O" $$unsorted)) % 35.51/35.79 (define @t581 () (@list @t579)) % 35.51/35.79 (define @t582 () (@list @t578)) % 35.51/35.79 (define @t583 () (@list @t580)) % 35.51/35.79 (define @t584 () (@var "M" $$unsorted)) % 35.51/35.79 (define @t585 () (@var "N" $$unsorted)) % 35.51/35.79 (define @t586 () (@var "L" $$unsorted)) % 35.51/35.79 (define @t587 () (@list @t585)) % 35.51/35.79 (define @t588 () (tptp.in @t584 @t586)) % 35.51/35.79 (define @t589 () (@list @t584)) % 35.51/35.79 (define @t590 () (@list @t586)) % 35.51/35.79 (define @t591 () (tptp.succ @t142)) % 35.51/35.79 (define @t592 () (=> @t576 (forall @t175 (=> (tptp.element @t164 @t574) (not (and (not (= @t164 tptp.empty_set)) (forall @t346 (not (and (tptp.in @t287 @t164) (forall @t549 (=> (and (tptp.in @t547 @t164) (tptp.subset @t287 @t547)) (= @t547 @t287)))))))))))) % 35.51/35.79 (define @t593 () (tptp.subset @t11 @t45)) % 35.51/35.79 (define @t594 () (tptp.powerset tptp.empty_set)) % 35.51/35.79 (define @t595 () (tptp.apply @t45 @t287)) % 35.51/35.79 (define @t596 () (tptp.in @t287 @t1)) % 35.51/35.79 (define @t597 () (tptp.relation @t142)) % 35.51/35.79 (define @t598 () (and @t150 @t74 @t47)) % 35.51/35.79 (define @t599 () (forall @t538 (=> @t537 (tptp.in (tptp.ordered_pair @t142 @t535) @t11)))) % 35.51/35.79 (define @t600 () (tptp.in @t142 @t536)) % 35.51/35.79 (define @t601 () (= @t287 @t164)) % 35.51/35.79 (define @t602 () (tptp.cartesian_product2 @t1 @t45)) % 35.51/35.79 (define @t603 () (= @t164 @t287)) % 35.51/35.79 (define @t604 () (tptp.ordered_pair @t535 @t586)) % 35.51/35.79 (define @t605 () (@list @t535 @t586)) % 35.51/35.79 (define @t606 () (= @t142 @t287)) % 35.51/35.79 (define @t607 () (tptp.in @t536 @t541)) % 35.51/35.79 (define @t608 () (tptp.in @t547 @t1)) % 35.51/35.79 (define @t609 () (tptp.ordered_pair @t547 @t542)) % 35.51/35.79 (define @t610 () (= @t609 @t164)) % 35.51/35.79 (define @t611 () (@list @t547 @t542)) % 35.51/35.79 (define @t612 () (tptp.powerset @t45)) % 35.51/35.79 (define @t613 () (tptp.in @t536 @t11)) % 35.51/35.79 (define @t614 () (tptp.in @t542 @t11)) % 35.51/35.79 (define @t615 () (tptp.element @t542 @t3)) % 35.51/35.79 (define @t616 () (= @t547 @t164)) % 35.51/35.79 (define @t617 () (tptp.element @t45 @t406)) % 35.51/35.79 (define @t618 () (and @t63 @t91 @t5 @t205 @t291 @t617)) % 35.51/35.79 (define @t619 () (tptp.ordered_pair @t536 @t535)) % 35.51/35.79 (define @t620 () (@list @t536 @t535)) % 35.51/35.79 (define @t621 () (= @t164 @t142)) % 35.51/35.79 (define @t622 () (tptp.in @t542 @t1)) % 35.51/35.79 (define @t623 () (= @t45 @t164)) % 35.51/35.79 (define @t624 () (tptp.ordered_pair @t287 @t547)) % 35.51/35.79 (define @t625 () (@list @t287 @t547)) % 35.51/35.79 (define @t626 () (not (and (not (= @t287 tptp.empty_set)) (forall @t549 (not (and @t548 (forall @t545 (=> (and (tptp.in @t542 @t287) (tptp.subset @t547 @t542)) (= @t542 @t547))))))))) % 35.51/35.79 (define @t627 () (tptp.ordinal @t164)) % 35.51/35.79 (define @t628 () (tptp.subset @t11 @t142)) % 35.51/35.79 (define @t629 () (tptp.in @t164 @t201)) % 35.51/35.79 (define @t630 () (= @t287 @t142)) % 35.51/35.79 (define @t631 () (tptp.in (tptp.set_difference @t301 @t142) @t11)) % 35.51/35.79 (define @t632 () (and @t219 @t206 @t249)) % 35.51/35.79 (define @t633 () (tptp.in @t547 @t11)) % 35.51/35.79 (define @t634 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t244))))) % 35.51/35.79 (define @t635 () (= @t142 @t556)) % 35.51/35.79 (define @t636 () (forall @t545 (=> @t558 (=> (= @t542 @t164) @t635)))) % 35.51/35.79 (define @t637 () (tptp.in @t164 @t560)) % 35.51/35.79 (define @t638 () (forall @t583 (=> (tptp.element @t580 @t201) (=> (= @t580 @t584) (= @t585 (tptp.subset_complement @t3 @t580)))))) % 35.51/35.79 (define @t639 () (= (tptp.ordered_pair @t584 @t585) @t164)) % 35.51/35.79 (define @t640 () (@list @t584 @t585)) % 35.51/35.79 (define @t641 () (tptp.cartesian_product2 @t560 @t45)) % 35.51/35.79 (define @t642 () (forall @t590 (=> (tptp.element @t586 @t201) (=> (= @t586 @t536) (= @t535 (tptp.subset_complement @t3 @t586)))))) % 35.51/35.79 (define @t643 () (= @t619 @t287)) % 35.51/35.79 (define @t644 () (tptp.subset_complement @t3 @t541)) % 35.51/35.79 (define @t645 () (tptp.element @t541 @t201)) % 35.51/35.79 (define @t646 () (forall @t544 (=> @t645 (=> (= @t541 @t547) (= @t542 @t644))))) % 35.51/35.79 (define @t647 () (tptp.cartesian_product2 @t11 @t45)) % 35.51/35.79 (define @t648 () (tptp.apply @t45 @t547)) % 35.51/35.79 (define @t649 () (tptp.in (tptp.relation_image @t45 @t164) @t11)) % 35.51/35.79 (define @t650 () (tptp.powerset @t316)) % 35.51/35.79 (define @t651 () (and @t351 @t74 @t47)) % 35.51/35.79 (define @t652 () (tptp.succ @t11)) % 35.51/35.79 (define @t653 () (= @t164 @t547)) % 35.51/35.79 (define @t654 () (= @t624 @t164)) % 35.51/35.79 (define @t655 () (exists @t549 (and (tptp.element @t547 @t3) @t633 (tptp.relstr_set_smaller @t1 @t287 @t547)))) % 35.51/35.79 (define @t656 () (tptp.singleton @t164)) % 35.51/35.79 (define @t657 () (exists @t175 (and @t202 @t621 (tptp.closed_subset @t164 @t1) @t628))) % 35.51/35.79 (define @t658 () (tptp.in @t142 @t201)) % 35.51/35.79 (define @t659 () (forall @t545 (=> @t558 (=> (= @t542 @t287) (= @t547 @t556))))) % 35.51/35.79 (define @t660 () (tptp.in @t164 @t45)) % 35.51/35.79 (define @t661 () (tptp.apply @t11 @t45)) % 35.51/35.79 (define @t662 () (= @t225 @t1)) % 35.51/35.79 (define @t663 () (exists @t20 (and @t150 @t102 @t662 (forall @t109 (=> @t144 (= @t661 @t519)))))) % 35.51/35.79 (define @t664 () (forall @t544 (=> @t645 (=> (= @t541 @t142) (= @t335 @t644))))) % 35.51/35.79 (define @t665 () (forall @t157 (not (forall @t545 (=> @t558 (=> (= @t542 @t45) @t635)))))) % 35.51/35.79 (define @t666 () (tptp.in @t1 tptp.omega)) % 35.51/35.79 (define @t667 () (tptp.element @t142 @t201)) % 35.51/35.79 (define @t668 () (= @t349 tptp.empty_set)) % 35.51/35.79 (define @t669 () (not (and @t274 @t668))) % 35.51/35.79 (define @t670 () (tptp.relation_rng @t191)) % 35.51/35.79 (define @t671 () (tptp.meet_of_subsets @t1 @t349)) % 35.51/35.79 (define @t672 () (tptp.union_of_subsets @t1 @t349)) % 35.51/35.79 (define @t673 () (forall @t109 (not (and @t292 (not (tptp.are_equipotent @t45 @t11)) @t298)))) % 35.51/35.79 (define @t674 () (forall @t147 (=> (and @t250 (tptp.subset @t142 @t45)) @t167))) % 35.51/35.79 (define @t675 () (tptp.meet_of_subsets @t3 @t11)) % 35.51/35.79 (define @t676 () (tptp.relation_dom_restriction @t45 @t11)) % 35.51/35.79 (define @t677 () (tptp.relation_image @t11 @t1)) % 35.51/35.79 (define @t678 () (tptp.relation_inverse_image @t11 @t1)) % 35.51/35.79 (define @t679 () (tptp.relation_image @t11 @t678)) % 35.51/35.79 (define @t680 () (tptp.set_intersection2 @t225 @t1)) % 35.51/35.79 (define @t681 () (tptp.subset @t1 @t226)) % 35.51/35.79 (define @t682 () (tptp.relation_of2_as_subset @t142 @t45 @t11)) % 35.51/35.79 (define @t683 () (tptp.relation_rng @t142)) % 35.51/35.79 (define @t684 () (tptp.relation_of2_as_subset @t142 @t45 @t1)) % 35.51/35.79 (define @t685 () (and @t90 @t5)) % 35.51/35.79 (define @t686 () (tptp.relation_rng @t347)) % 35.51/35.79 (define @t687 () (tptp.relation_inverse_image @t45 @t11)) % 35.51/35.79 (define @t688 () (tptp.relation_restriction @t45 @t11)) % 35.51/35.79 (define @t689 () (tptp.relation_restriction @t11 @t1)) % 35.51/35.79 (define @t690 () (tptp.relation_dom_restriction @t11 @t1)) % 35.51/35.79 (define @t691 () (tptp.relation_field @t45)) % 35.51/35.79 (define @t692 () (tptp.in @t1 @t691)) % 35.51/35.79 (define @t693 () (tptp.subset @t1 @t45)) % 35.51/35.79 (define @t694 () (tptp.the_carrier @t236)) % 35.51/35.79 (define @t695 () (tptp.element @t45 @t694)) % 35.51/35.79 (define @t696 () (tptp.element @t11 @t694)) % 35.51/35.79 (define @t697 () (tptp.element @t1 @t11)) % 35.51/35.79 (define @t698 () (tptp.relstr_set_smaller @t1 @t45 @t142)) % 35.51/35.79 (define @t699 () (tptp.in @t1 @t316)) % 35.51/35.79 (define @t700 () (tptp.in @t326 @t45)) % 35.51/35.79 (define @t701 () (tptp.relation_field @t689)) % 35.51/35.79 (define @t702 () (tptp.related @t45 @t287 @t547)) % 35.51/35.79 (define @t703 () (tptp.element @t547 @t356)) % 35.51/35.79 (define @t704 () (tptp.element @t287 @t356)) % 35.51/35.79 (define @t705 () (tptp.apply @t45 @t1)) % 35.51/35.79 (define @t706 () (tptp.relation_composition @t45 @t11)) % 35.51/35.79 (define @t707 () (tptp.in @t1 (tptp.relation_dom @t706))) % 35.51/35.79 (define @t708 () (tptp.apply @t142 @t45)) % 35.51/35.79 (define @t709 () (and @t394 (tptp.quasi_total @t142 @t1 @t11) (tptp.relation_of2_as_subset @t142 @t1 @t11))) % 35.51/35.79 (define @t710 () (and @t606 @t653 @t172)) % 35.51/35.79 (define @t711 () (=> @t710 @t702)) % 35.51/35.79 (define @t712 () (forall @t549 (=> @t703 @t711))) % 35.51/35.79 (define @t713 () (=> @t704 @t712)) % 35.51/35.79 (define @t714 () (forall @t346 @t713)) % 35.51/35.79 (define @t715 () (=> @t174 @t714)) % 35.51/35.79 (define @t716 () (forall @t175 @t715)) % 35.51/35.79 (define @t717 () (=> @t176 @t716)) % 35.51/35.79 (define @t718 () (forall @t157 @t717)) % 35.51/35.79 (define @t719 () (tptp.empty_carrier @t45)) % 35.51/35.79 (define @t720 () (not @t719)) % 35.51/35.79 (define @t721 () (and @t720 @t363 @t358)) % 35.51/35.79 (define @t722 () (=> @t721 @t718)) % 35.51/35.79 (define @t723 () (forall @t109 @t722)) % 35.51/35.79 (define @t724 () (=> @t181 @t723)) % 35.51/35.79 (define @t725 () (forall @t20 @t724)) % 35.51/35.79 (define @t726 () (=> @t123 @t725)) % 35.51/35.79 (define @t727 () (forall @t6 @t726)) % 35.51/35.79 (define @t728 () (not @t727)) % 35.51/35.79 (define @t729 () (tptp.connected @t11)) % 35.51/35.79 (define @t730 () (tptp.well_ordering @t689)) % 35.51/35.79 (define @t731 () (= @t701 @t1)) % 35.51/35.79 (define @t732 () (tptp.well_orders @t11 @t1)) % 35.51/35.79 (define @t733 () (tptp.related @t1 @t11 @t142)) % 35.51/35.79 (define @t734 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 35.51/35.79 (define @t735 () (tptp.poset_of_lattice @t11)) % 35.51/35.79 (define @t736 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 35.51/35.79 (define @t737 () (tptp.element @t45 (tptp.the_carrier @t735))) % 35.51/35.79 (define @t738 () (or @t110 @t14)) % 35.51/35.79 (define @t739 () (forall @t15 (=> @t697 @t738))) % 35.51/35.79 (define @t740 () (tptp.the_carrier @t286)) % 35.51/35.79 (define @t741 () (and (= @t11 (tptp.join_on_relstr @t1 @t45)) (tptp.ex_sup_of_relstr_set @t1 @t45))) % 35.51/35.79 (define @t742 () (and (tptp.relstr_set_smaller @t1 @t45 @t11) (forall @t157 (=> @t156 (=> @t698 @t733))))) % 35.51/35.79 (define @t743 () (tptp.well_founded_relation @t11)) % 35.51/35.79 (define @t744 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 35.51/35.79 (define @t745 () (and @t144 @t250)) % 35.51/35.79 (define @t746 () (not @t338)) % 35.51/35.79 (define @t747 () (= @t1 @t652)) % 35.51/35.79 (define @t748 () (and @t63 @t90 @t107 @t5)) % 35.51/35.79 (define @t749 () (tptp.subset_complement @t1 @t45)) % 35.51/35.79 (define @t750 () (tptp.disjoint @t11 @t45)) % 35.51/35.79 (define @t751 () (tptp.relation_dom @t347)) % 35.51/35.79 (define @t752 () (and (tptp.closed_subset @t142 @t1) @t628)) % 35.51/35.79 (define @t753 () (tptp.in @t45 @t203)) % 35.51/35.79 (define @t754 () (tptp.element @t11 @t612)) % 35.51/35.79 (define @t755 () (tptp.in @t45 @t132)) % 35.51/35.79 (define @t756 () (= @t203 @t11)) % 35.51/35.79 (define @t757 () (and (tptp.in @t45 @t321) (= @t142 @t661))) % 35.51/35.79 (define @t758 () (tptp.function_inverse @t11)) % 35.51/35.79 (define @t759 () (tptp.related @t11 @t164 @t287)) % 35.51/35.79 (define @t760 () (tptp.element @t287 @t173)) % 35.51/35.79 (define @t761 () (tptp.in @t287 @t173)) % 35.51/35.79 (define @t762 () (tptp.in @t164 @t173)) % 35.51/35.79 (define @t763 () (and @t221 @t630 @t341 @t762 @t761)) % 35.51/35.79 (define @t764 () (=> @t763 @t759)) % 35.51/35.79 (define @t765 () (=> @t760 @t764)) % 35.51/35.79 (define @t766 () (forall @t346 @t765)) % 35.51/35.79 (define @t767 () (=> @t174 @t766)) % 35.51/35.79 (define @t768 () (forall @t175 @t767)) % 35.51/35.79 (define @t769 () (=> @t156 @t768)) % 35.51/35.79 (define @t770 () (forall @t157 @t769)) % 35.51/35.79 (define @t771 () (=> @t121 @t770)) % 35.51/35.79 (define @t772 () (forall @t109 @t771)) % 35.51/35.79 (define @t773 () (and @t212 @t209)) % 35.51/35.79 (define @t774 () (=> @t773 @t772)) % 35.51/35.79 (define @t775 () (forall @t20 @t774)) % 35.51/35.79 (define @t776 () (=> @t5 @t775)) % 35.51/35.79 (define @t777 () (forall @t6 @t776)) % 35.51/35.79 (define @t778 () (= @t321 tptp.empty_set)) % 35.51/35.79 (define @t779 () (= @t185 tptp.empty_set)) % 35.51/35.79 (define @t780 () (= (tptp.apply @t525 @t11) (tptp.apply @t45 @t11))) % 35.51/35.79 (define @t781 () (= @t243 @t528)) % 35.51/35.79 (define @t782 () (@var "BOUND_VARIABLE_24503" $$unsorted)) % 35.51/35.79 (define @t783 () (@var "BOUND_VARIABLE_24501" $$unsorted)) % 35.51/35.79 (define @t784 () (@var "BOUND_VARIABLE_24499" $$unsorted)) % 35.51/35.79 (define @t785 () (tptp.related @t784 @t783 @t782)) % 35.51/35.79 (define @t786 () (tptp.the_carrier @t784)) % 35.51/35.79 (define @t787 () (not (tptp.in @t782 @t786))) % 35.51/35.79 (define @t788 () (not (tptp.element @t782 @t786))) % 35.51/35.79 (define @t789 () (not (tptp.related @t1 @t783 @t782))) % 35.51/35.79 (define @t790 () (not (tptp.element @t782 @t3))) % 35.51/35.79 (define @t791 () (not (tptp.in @t783 @t786))) % 35.51/35.79 (define @t792 () (not (tptp.element @t783 @t786))) % 35.51/35.79 (define @t793 () (not (tptp.element @t783 @t3))) % 35.51/35.79 (define @t794 () (not (tptp.subrelstr @t784 @t1))) % 35.51/35.79 (define @t795 () (not (tptp.full_subrelstr @t784 @t1))) % 35.51/35.79 (define @t796 () (not @t5)) % 35.51/35.79 (define @t797 () (or @t796 @t795 @t794 @t793 @t792 @t791 @t790 @t789 @t788 @t787 @t785)) % 35.51/35.79 (define @t798 () (or @t795 @t794 @t793 @t792 @t791 @t790 @t789 @t788 @t787 @t785)) % 35.51/35.79 (define @t799 () (or @t796 @t798)) % 35.51/35.79 (define @t800 () (@list @t1 @t784 @t783 @t782)) % 35.51/35.79 (define @t801 () (forall @t800 @t799)) % 35.51/35.79 (define @t802 () (@list @t784 @t783 @t782)) % 35.51/35.79 (define @t803 () (forall @t802 @t799)) % 35.51/35.79 (define @t804 () (forall @t802 @t798)) % 35.51/35.79 (define @t805 () (@var "BOUND_VARIABLE_24472" $$unsorted)) % 35.51/35.79 (define @t806 () (@var "BOUND_VARIABLE_24470" $$unsorted)) % 35.51/35.79 (define @t807 () (or @t796 @t804)) % 35.51/35.79 (define @t808 () (tptp.related @t11 @t806 @t805)) % 35.51/35.79 (define @t809 () (not (tptp.in @t805 @t173))) % 35.51/35.79 (define @t810 () (not (tptp.element @t805 @t173))) % 35.51/35.79 (define @t811 () (not (tptp.related @t1 @t806 @t805))) % 35.51/35.79 (define @t812 () (not (tptp.element @t805 @t3))) % 35.51/35.79 (define @t813 () (not (tptp.in @t806 @t173))) % 35.51/35.79 (define @t814 () (not (tptp.element @t806 @t173))) % 35.51/35.79 (define @t815 () (not (tptp.element @t806 @t3))) % 35.51/35.79 (define @t816 () (not @t209)) % 35.51/35.79 (define @t817 () (not @t212)) % 35.51/35.79 (define @t818 () (or @t817 @t816 @t815 @t814 @t813 @t812 @t811 @t810 @t809 @t808)) % 35.51/35.79 (define @t819 () (@list @t11 @t806 @t805)) % 35.51/35.79 (define @t820 () (forall @t819 @t818)) % 35.51/35.79 (define @t821 () (or @t815 @t814 @t813 @t812 @t811 @t810 @t809 @t808)) % 35.51/35.79 (define @t822 () (or @t817 @t816 @t821)) % 35.51/35.79 (define @t823 () (forall @t819 @t822)) % 35.51/35.79 (define @t824 () (@list @t806 @t805)) % 35.51/35.79 (define @t825 () (forall @t824 @t822)) % 35.51/35.79 (define @t826 () (forall @t824 @t821)) % 35.51/35.79 (define @t827 () (@var "BOUND_VARIABLE_24446" $$unsorted)) % 35.51/35.79 (define @t828 () (or @t817 @t816 @t826)) % 35.51/35.79 (define @t829 () (tptp.related @t11 @t45 @t827)) % 35.51/35.79 (define @t830 () (not (tptp.in @t827 @t173))) % 35.51/35.79 (define @t831 () (not (tptp.element @t827 @t173))) % 35.51/35.79 (define @t832 () (not (tptp.related @t1 @t45 @t827))) % 35.51/35.79 (define @t833 () (not (tptp.element @t827 @t3))) % 35.51/35.79 (define @t834 () (not (tptp.in @t45 @t173))) % 35.51/35.80 (define @t835 () (not @t354)) % 35.51/35.80 (define @t836 () (not @t121)) % 35.51/35.80 (define @t837 () (or @t836 @t835 @t834 @t833 @t832 @t831 @t830 @t829)) % 35.51/35.80 (define @t838 () (@list @t45 @t827)) % 35.51/35.80 (define @t839 () (forall @t838 @t837)) % 35.51/35.80 (define @t840 () (or @t817 @t816 @t839)) % 35.51/35.80 (define @t841 () (or @t833 @t832 @t831 @t830 @t829)) % 35.51/35.80 (define @t842 () (or @t836 @t835 @t834 @t841)) % 35.51/35.80 (define @t843 () (forall @t838 @t842)) % 35.51/35.80 (define @t844 () (@list @t827)) % 35.51/35.80 (define @t845 () (forall @t844 @t842)) % 35.51/35.80 (define @t846 () (forall @t844 @t841)) % 35.51/35.80 (define @t847 () (or @t836 @t835 @t834 @t846)) % 35.51/35.80 (define @t848 () (tptp.related @t11 @t45 @t142)) % 35.51/35.80 (define @t849 () (not (tptp.in @t142 @t173))) % 35.51/35.80 (define @t850 () (not @t176)) % 35.51/35.80 (define @t851 () (not @t341)) % 35.51/35.80 (define @t852 () (not @t156)) % 35.51/35.80 (define @t853 () (or @t852 @t851 @t850 @t849 @t848)) % 35.51/35.80 (define @t854 () (forall @t157 @t853)) % 35.51/35.80 (define @t855 () (or @t836 @t835 @t834 @t854)) % 35.51/35.80 (define @t856 () (or @t835 @t834 @t854)) % 35.51/35.80 (define @t857 () (or @t835 @t834 @t853)) % 35.51/35.80 (define @t858 () (or @t852 @t851 @t850 @t849 @t835 @t834 @t848)) % 35.51/35.80 (define @t859 () (or @t851 @t850 @t849 @t835 @t834 @t848)) % 35.51/35.80 (define @t860 () (or @t835 @t834 @t848)) % 35.51/35.80 (define @t861 () (not (= @t45 @t45))) % 35.51/35.80 (define @t862 () (or @t835 @t861 @t834 @t848)) % 35.51/35.80 (define @t863 () (tptp.related @t11 @t164 @t142)) % 35.51/35.80 (define @t864 () (not @t762)) % 35.51/35.80 (define @t865 () (not @t623)) % 35.51/35.80 (define @t866 () (not @t174)) % 35.51/35.80 (define @t867 () (or @t865 @t866 @t865 @t864 @t863)) % 35.51/35.80 (define @t868 () (or @t866 @t865 @t864 @t863)) % 35.51/35.80 (define @t869 () (forall @t175 @t868)) % 35.51/35.80 (define @t870 () (or @t851 @t850 @t849 @t869)) % 35.51/35.80 (define @t871 () (or @t851 @t850 @t849 @t868)) % 35.51/35.80 (define @t872 () (or @t866 @t865 @t851 @t864 @t850 @t849 @t863)) % 35.51/35.80 (define @t873 () (or @t865 @t851 @t864 @t850 @t849 @t863)) % 35.51/35.80 (define @t874 () (or @t850 @t849 @t863)) % 35.51/35.80 (define @t875 () (not (= @t142 @t142))) % 35.51/35.80 (define @t876 () (or @t850 @t875 @t849 @t863)) % 35.51/35.80 (define @t877 () (not @t761)) % 35.51/35.80 (define @t878 () (not @t606)) % 35.51/35.80 (define @t879 () (not @t760)) % 35.51/35.80 (define @t880 () (not @t630)) % 35.51/35.80 (define @t881 () (or @t878 @t879 @t878 @t877 @t759)) % 35.51/35.80 (define @t882 () (or @t879 @t878 @t877 @t759)) % 35.51/35.80 (define @t883 () (forall @t346 @t882)) % 35.51/35.80 (define @t884 () (or @t865 @t851 @t864 @t883)) % 35.51/35.80 (define @t885 () (or @t865 @t851 @t864 @t882)) % 35.51/35.80 (define @t886 () (or @t879 @t865 @t878 @t851 @t864 @t877 @t759)) % 35.51/35.80 (define @t887 () (or @t865 @t878 @t851 @t864 @t877 @t759)) % 35.51/35.80 (define @t888 () (or @t865 @t878 @t851 @t864 @t877)) % 35.51/35.80 (define @t889 () (and @t623 @t606 @t341 @t762 @t761)) % 35.51/35.80 (define @t890 () (=> @t889 @t759)) % 35.51/35.80 (define @t891 () (@var "BOUND_VARIABLE_16079" $$unsorted)) % 35.51/35.80 (define @t892 () (@var "BOUND_VARIABLE_16081" $$unsorted)) % 35.51/35.80 (define @t893 () (= (tptp.full_subnetstr @t892 @t1 @t891) (and (tptp.full_subrelstr @t892 @t891) (tptp.subrelstr @t892 @t891)))) % 35.51/35.80 (define @t894 () (not (tptp.subnetstr @t892 @t1 @t891))) % 35.51/35.80 (define @t895 () (not (tptp.net_str @t891 @t1))) % 35.51/35.80 (define @t896 () (not @t123)) % 35.51/35.80 (define @t897 () (or @t895 @t894 @t893)) % 35.51/35.80 (define @t898 () (or @t896 @t897)) % 35.51/35.80 (define @t899 () (forall (@list @t1 @t891 @t892) @t898)) % 35.51/35.80 (define @t900 () (@list @t891 @t892)) % 35.51/35.80 (define @t901 () (forall @t900 @t898)) % 35.51/35.80 (define @t902 () (forall @t900 @t897)) % 35.51/35.80 (define @t903 () (@var "BOUND_VARIABLE_16060" $$unsorted)) % 35.51/35.80 (define @t904 () (or @t896 @t902)) % 35.51/35.80 (define @t905 () (= (tptp.full_subnetstr @t903 @t1 @t11) (and (tptp.full_subrelstr @t903 @t11) (tptp.subrelstr @t903 @t11)))) % 35.51/35.80 (define @t906 () (not (tptp.subnetstr @t903 @t1 @t11))) % 35.51/35.80 (define @t907 () (not @t178)) % 35.51/35.80 (define @t908 () (or @t907 @t906 @t905)) % 35.51/35.80 (define @t909 () (@list @t11 @t903)) % 35.51/35.80 (define @t910 () (forall @t909 @t908)) % 35.51/35.80 (define @t911 () (or @t906 @t905)) % 35.51/35.80 (define @t912 () (or @t907 @t911)) % 35.51/35.80 (define @t913 () (forall @t909 @t912)) % 35.51/35.80 (define @t914 () (@list @t903)) % 35.51/35.80 (define @t915 () (forall @t914 @t912)) % 35.51/35.80 (define @t916 () (forall @t914 @t911)) % 35.51/35.80 (define @t917 () (@list @t45)) % 35.51/35.80 (define @t918 () (or @t907 @t916)) % 35.51/35.80 (define @t919 () (not @t358)) % 35.51/35.80 (define @t920 () (forall @t109 (or @t919 @t364))) % 35.51/35.80 (define @t921 () (@var "BOUND_VARIABLE_22092" $$unsorted)) % 35.51/35.80 (define @t922 () (@var "BOUND_VARIABLE_22090" $$unsorted)) % 35.51/35.80 (define @t923 () (@var "BOUND_VARIABLE_22088" $$unsorted)) % 35.51/35.80 (define @t924 () (tptp.related @t923 @t922 @t921)) % 35.51/35.80 (define @t925 () (tptp.the_carrier @t923)) % 35.51/35.80 (define @t926 () (not (tptp.element @t921 @t925))) % 35.51/35.80 (define @t927 () (@var "BOUND_VARIABLE_22086" $$unsorted)) % 35.51/35.80 (define @t928 () (not (tptp.related @t927 @t922 @t921))) % 35.51/35.80 (define @t929 () (tptp.the_carrier @t927)) % 35.51/35.80 (define @t930 () (not (tptp.element @t921 @t929))) % 35.51/35.80 (define @t931 () (not (tptp.element @t922 @t925))) % 35.51/35.80 (define @t932 () (not (tptp.element @t922 @t929))) % 35.51/35.80 (define @t933 () (not (tptp.subnetstr @t923 @t1 @t927))) % 35.51/35.80 (define @t934 () (not (tptp.full_subnetstr @t923 @t1 @t927))) % 35.51/35.80 (define @t935 () (tptp.empty_carrier @t923)) % 35.51/35.80 (define @t936 () (not (tptp.net_str @t927 @t1))) % 35.51/35.80 (define @t937 () (tptp.empty_carrier @t927)) % 35.51/35.80 (define @t938 () (or @t896 @t937 @t936 @t935 @t934 @t933 @t932 @t931 @t930 @t928 @t926 @t924)) % 35.51/35.80 (define @t939 () (@list @t1 @t927 @t923 @t922 @t921)) % 35.51/35.80 (define @t940 () (forall @t939 @t938)) % 35.51/35.80 (define @t941 () (@quantifiers_skolemize @t940 2)) % 35.51/35.80 (define @t942 () (@quantifiers_skolemize @t940 1)) % 35.51/35.80 (define @t943 () (@quantifiers_skolemize @t940 0)) % 35.51/35.80 (define @t944 () (@list @t943 @t942 @t941)) % 35.51/35.80 (define @t945 () (or @t937 @t936 @t935 @t934 @t933 @t932 @t931 @t930 @t928 @t926 @t924)) % 35.51/35.80 (define @t946 () (or @t896 @t945)) % 35.51/35.80 (define @t947 () (forall @t939 @t946)) % 35.51/35.80 (define @t948 () (@list @t927 @t923 @t922 @t921)) % 35.51/35.80 (define @t949 () (forall @t948 @t946)) % 35.51/35.80 (define @t950 () (forall @t948 @t945)) % 35.51/35.80 (define @t951 () (@var "BOUND_VARIABLE_22057" $$unsorted)) % 35.51/35.80 (define @t952 () (@var "BOUND_VARIABLE_22055" $$unsorted)) % 35.51/35.80 (define @t953 () (@var "BOUND_VARIABLE_22053" $$unsorted)) % 35.51/35.80 (define @t954 () (or @t896 @t950)) % 35.51/35.80 (define @t955 () (tptp.related @t953 @t952 @t951)) % 35.51/35.80 (define @t956 () (tptp.the_carrier @t953)) % 35.51/35.80 (define @t957 () (not (tptp.element @t951 @t956))) % 35.51/35.80 (define @t958 () (not (tptp.related @t11 @t952 @t951))) % 35.51/35.80 (define @t959 () (not (tptp.element @t951 @t173))) % 35.51/35.80 (define @t960 () (not (tptp.element @t952 @t956))) % 35.51/35.80 (define @t961 () (not (tptp.element @t952 @t173))) % 35.51/35.80 (define @t962 () (not (tptp.subnetstr @t953 @t1 @t11))) % 35.51/35.80 (define @t963 () (not (tptp.full_subnetstr @t953 @t1 @t11))) % 35.51/35.80 (define @t964 () (tptp.empty_carrier @t953)) % 35.51/35.80 (define @t965 () (or @t179 @t907 @t964 @t963 @t962 @t961 @t960 @t959 @t958 @t957 @t955)) % 35.51/35.80 (define @t966 () (@list @t11 @t953 @t952 @t951)) % 35.51/35.80 (define @t967 () (forall @t966 @t965)) % 35.51/35.80 (define @t968 () (or @t964 @t963 @t962 @t961 @t960 @t959 @t958 @t957 @t955)) % 35.51/35.80 (define @t969 () (or @t179 @t907 @t968)) % 35.51/35.80 (define @t970 () (forall @t966 @t969)) % 35.51/35.80 (define @t971 () (@list @t953 @t952 @t951)) % 35.51/35.80 (define @t972 () (forall @t971 @t969)) % 35.51/35.80 (define @t973 () (forall @t971 @t968)) % 35.51/35.80 (define @t974 () (@var "BOUND_VARIABLE_22030" $$unsorted)) % 35.51/35.80 (define @t975 () (@var "BOUND_VARIABLE_22028" $$unsorted)) % 35.51/35.80 (define @t976 () (or @t179 @t907 @t973)) % 35.51/35.80 (define @t977 () (tptp.related @t45 @t975 @t974)) % 35.51/35.80 (define @t978 () (not (tptp.element @t974 @t356))) % 35.51/35.80 (define @t979 () (not (tptp.related @t11 @t975 @t974))) % 35.51/35.80 (define @t980 () (not (tptp.element @t974 @t173))) % 35.51/35.80 (define @t981 () (not (tptp.element @t975 @t356))) % 35.51/35.80 (define @t982 () (not (tptp.element @t975 @t173))) % 35.51/35.80 (define @t983 () (not @t363)) % 35.51/35.80 (define @t984 () (or @t719 @t983 @t919 @t982 @t981 @t980 @t979 @t978 @t977)) % 35.51/35.80 (define @t985 () (@list @t45 @t975 @t974)) % 35.51/35.80 (define @t986 () (forall @t985 @t984)) % 35.51/35.80 (define @t987 () (or @t179 @t907 @t986)) % 35.51/35.80 (define @t988 () (or @t982 @t981 @t980 @t979 @t978 @t977)) % 35.51/35.80 (define @t989 () (or @t719 @t983 @t919 @t988)) % 35.51/35.80 (define @t990 () (forall @t985 @t989)) % 35.51/35.80 (define @t991 () (@list @t975 @t974)) % 35.51/35.80 (define @t992 () (forall @t991 @t989)) % 35.51/35.80 (define @t993 () (forall @t991 @t988)) % 35.51/35.80 (define @t994 () (@var "BOUND_VARIABLE_22006" $$unsorted)) % 35.51/35.80 (define @t995 () (or @t719 @t983 @t919 @t993)) % 35.51/35.80 (define @t996 () (tptp.related @t45 @t142 @t994)) % 35.51/35.80 (define @t997 () (not (tptp.element @t994 @t356))) % 35.51/35.80 (define @t998 () (not (tptp.related @t11 @t142 @t994))) % 35.51/35.80 (define @t999 () (not (tptp.element @t994 @t173))) % 35.51/35.80 (define @t1000 () (not (tptp.element @t142 @t356))) % 35.51/35.80 (define @t1001 () (or @t850 @t1000 @t999 @t998 @t997 @t996)) % 35.51/35.80 (define @t1002 () (@list @t142 @t994)) % 35.51/35.80 (define @t1003 () (forall @t1002 @t1001)) % 35.51/35.80 (define @t1004 () (or @t719 @t983 @t919 @t1003)) % 35.51/35.80 (define @t1005 () (not @t720)) % 35.51/35.80 (define @t1006 () (or @t1005 @t983 @t919)) % 35.51/35.80 (define @t1007 () (or @t999 @t998 @t997 @t996)) % 35.51/35.80 (define @t1008 () (or @t850 @t1000 @t1007)) % 35.51/35.80 (define @t1009 () (forall @t1002 @t1008)) % 35.51/35.80 (define @t1010 () (@list @t994)) % 35.51/35.80 (define @t1011 () (forall @t1010 @t1008)) % 35.51/35.80 (define @t1012 () (forall @t1010 @t1007)) % 35.51/35.80 (define @t1013 () (or @t850 @t1000 @t1012)) % 35.51/35.80 (define @t1014 () (tptp.related @t45 @t142 @t164)) % 35.51/35.80 (define @t1015 () (not (tptp.element @t164 @t356))) % 35.51/35.80 (define @t1016 () (not @t172)) % 35.51/35.80 (define @t1017 () (or @t866 @t1016 @t1015 @t1014)) % 35.51/35.80 (define @t1018 () (forall @t175 @t1017)) % 35.51/35.80 (define @t1019 () (or @t850 @t1000 @t1018)) % 35.51/35.80 (define @t1020 () (or @t1000 @t1018)) % 35.51/35.80 (define @t1021 () (or @t1000 @t1017)) % 35.51/35.80 (define @t1022 () (or @t866 @t1016 @t1015 @t1000 @t1014)) % 35.51/35.80 (define @t1023 () (or @t1016 @t1015 @t1000 @t1014)) % 35.51/35.80 (define @t1024 () (or @t1000 @t1014)) % 35.51/35.80 (define @t1025 () (or @t1000 @t875 @t1014)) % 35.51/35.80 (define @t1026 () (tptp.related @t45 @t287 @t164)) % 35.51/35.80 (define @t1027 () (not @t704)) % 35.51/35.80 (define @t1028 () (or @t878 @t1027 @t878 @t1026)) % 35.51/35.80 (define @t1029 () (or @t1027 @t878 @t1026)) % 35.51/35.80 (define @t1030 () (forall @t346 @t1029)) % 35.51/35.80 (define @t1031 () (or @t1016 @t1015 @t1030)) % 35.51/35.80 (define @t1032 () (or @t1016 @t1015 @t1029)) % 35.51/35.80 (define @t1033 () (or @t1027 @t878 @t1016 @t1015 @t1026)) % 35.51/35.80 (define @t1034 () (or @t878 @t1016 @t1015 @t1026)) % 35.51/35.80 (define @t1035 () (or @t1015 @t1026)) % 35.51/35.80 (define @t1036 () (not (= @t164 @t164))) % 35.51/35.80 (define @t1037 () (or @t1015 @t1036 @t1026)) % 35.51/35.80 (define @t1038 () (not @t653)) % 35.51/35.80 (define @t1039 () (not @t703)) % 35.51/35.80 (define @t1040 () (or @t1038 @t1039 @t1038 @t702)) % 35.51/35.80 (define @t1041 () (or @t1039 @t1038 @t702)) % 35.51/35.80 (define @t1042 () (forall @t549 @t1041)) % 35.51/35.80 (define @t1043 () (or @t878 @t1016 @t1042)) % 35.51/35.80 (define @t1044 () (or @t878 @t1016 @t1041)) % 35.51/35.80 (define @t1045 () (or @t1039 @t878 @t1038 @t1016 @t702)) % 35.51/35.80 (define @t1046 () (or @t878 @t1038 @t1016 @t702)) % 35.51/35.80 (define @t1047 () (or @t878 @t1038 @t1016)) % 35.51/35.80 (define @t1048 () (tptp.subnetstr @t941 @t943 @t942)) % 35.51/35.80 (define @t1049 () (@quantifiers_skolemize @t940 4)) % 35.51/35.80 (define @t1050 () (@quantifiers_skolemize @t940 3)) % 35.51/35.80 (define @t1051 () (tptp.related @t941 @t1050 @t1049)) % 35.51/35.80 (define @t1052 () (tptp.the_carrier @t941)) % 35.51/35.80 (define @t1053 () (tptp.element @t1049 @t1052)) % 35.51/35.80 (define @t1054 () (not @t1053)) % 35.51/35.80 (define @t1055 () (tptp.related @t942 @t1050 @t1049)) % 35.51/35.80 (define @t1056 () (not @t1055)) % 35.51/35.80 (define @t1057 () (tptp.the_carrier @t942)) % 35.51/35.80 (define @t1058 () (tptp.element @t1049 @t1057)) % 35.51/35.80 (define @t1059 () (not @t1058)) % 35.51/35.80 (define @t1060 () (tptp.element @t1050 @t1052)) % 35.51/35.80 (define @t1061 () (not @t1060)) % 35.51/35.80 (define @t1062 () (tptp.element @t1050 @t1057)) % 35.51/35.80 (define @t1063 () (not @t1062)) % 35.51/35.80 (define @t1064 () (not @t1048)) % 35.51/35.80 (define @t1065 () (tptp.full_subnetstr @t941 @t943 @t942)) % 35.51/35.80 (define @t1066 () (not @t1065)) % 35.51/35.80 (define @t1067 () (tptp.empty_carrier @t941)) % 35.51/35.80 (define @t1068 () (tptp.net_str @t942 @t943)) % 35.51/35.80 (define @t1069 () (not @t1068)) % 35.51/35.80 (define @t1070 () (tptp.one_sorted_str @t943)) % 35.51/35.80 (define @t1071 () (not @t1070)) % 35.51/35.80 (define @t1072 () (or @t1071 (tptp.empty_carrier @t942) @t1069 @t1067 @t1066 @t1064 @t1063 @t1061 @t1059 @t1056 @t1054 @t1051)) % 35.51/35.80 (define @t1073 () (@list true)) % 35.51/35.80 (define @t1074 () (@list @t1072)) % 35.51/35.80 (define @t1075 () (tptp.subrelstr @t941 @t942)) % 35.51/35.80 (define @t1076 () (tptp.full_subrelstr @t941 @t942)) % 35.51/35.80 (define @t1077 () (and @t1076 @t1075)) % 35.51/35.80 (define @t1078 () (= @t1065 @t1077)) % 35.51/35.80 (define @t1079 () (or @t1071 @t1069 @t1064 @t1078)) % 35.51/35.80 (define @t1080 () (@list false false false false)) % 35.51/35.80 (define @t1081 () (@list false false)) % 35.51/35.80 (define @t1082 () (not @t1077)) % 35.51/35.80 (define @t1083 () (@list false)) % 35.51/35.80 (define @t1084 () (@list @t1077)) % 35.51/35.80 (define @t1085 () (not @t697)) % 35.51/35.80 (define @t1086 () (@list @t941)) % 35.51/35.80 (define @t1087 () (@var "BOUND_VARIABLE_16387" $$unsorted)) % 35.51/35.80 (define @t1088 () (tptp.rel_str @t1087)) % 35.51/35.80 (define @t1089 () (not (tptp.net_str @t1087 @t1))) % 35.51/35.80 (define @t1090 () (or @t1089 @t1088)) % 35.51/35.80 (define @t1091 () (or @t896 @t1090)) % 35.51/35.80 (define @t1092 () (forall (@list @t1 @t1087) @t1091)) % 35.51/35.80 (define @t1093 () (@list @t1087)) % 35.51/35.80 (define @t1094 () (forall @t1093 @t1091)) % 35.51/35.80 (define @t1095 () (forall @t1093 @t1090)) % 35.51/35.80 (define @t1096 () (or @t896 @t1095)) % 35.51/35.80 (define @t1097 () (forall @t20 (or @t907 @t210))) % 35.51/35.80 (define @t1098 () (@var "BOUND_VARIABLE_16452" $$unsorted)) % 35.51/35.80 (define @t1099 () (tptp.net_str @t1098 @t1)) % 35.51/35.80 (define @t1100 () (not (tptp.subnetstr @t1098 @t1 @t11))) % 35.51/35.80 (define @t1101 () (or @t1100 @t1099)) % 35.51/35.80 (define @t1102 () (or @t896 @t907 @t1101)) % 35.51/35.80 (define @t1103 () (forall (@list @t1 @t11 @t1098) @t1102)) % 35.51/35.80 (define @t1104 () (@list @t1098)) % 35.51/35.80 (define @t1105 () (forall @t1104 @t1102)) % 35.51/35.80 (define @t1106 () (forall @t1104 @t1101)) % 35.51/35.80 (define @t1107 () (or @t896 @t907 @t1106)) % 35.51/35.80 (define @t1108 () (forall @t109 (or @t919 @t359))) % 35.51/35.80 (define @t1109 () (or @t896 @t907 @t1108)) % 35.51/35.80 (define @t1110 () (tptp.net_str @t941 @t943)) % 35.51/35.80 (define @t1111 () (or @t1071 @t1069 @t1064 @t1110)) % 35.51/35.80 (define @t1112 () (tptp.rel_str @t941)) % 35.51/35.80 (define @t1113 () (not @t1110)) % 35.51/35.80 (define @t1114 () (or @t1071 @t1113 @t1112)) % 35.51/35.80 (define @t1115 () (@list false false false)) % 35.51/35.80 (define @t1116 () (tptp.one_sorted_str @t941)) % 35.51/35.80 (define @t1117 () (not @t1112)) % 35.51/35.80 (define @t1118 () (or @t1117 @t1116)) % 35.51/35.80 (define @t1119 () (tptp.empty @t1052)) % 35.51/35.80 (define @t1120 () (not @t1119)) % 35.51/35.80 (define @t1121 () (not @t1116)) % 35.51/35.80 (define @t1122 () (or @t1067 @t1121 @t1120)) % 35.51/35.80 (define @t1123 () (tptp.in @t1049 @t1052)) % 35.51/35.80 (define @t1124 () (or @t1054 @t1119 @t1123)) % 35.51/35.80 (define @t1125 () (@list false true false)) % 35.51/35.80 (define @t1126 () (tptp.in @t1050 @t1052)) % 35.51/35.80 (define @t1127 () (or @t1061 @t1119 @t1126)) % 35.51/35.80 (define @t1128 () (tptp.rel_str @t942)) % 35.51/35.80 (define @t1129 () (or @t1071 @t1069 @t1128)) % 35.51/35.80 (define @t1130 () (not @t1123)) % 35.51/35.80 (define @t1131 () (not @t1126)) % 35.51/35.80 (define @t1132 () (not @t1075)) % 35.51/35.80 (define @t1133 () (not @t1076)) % 35.51/35.80 (define @t1134 () (not @t1128)) % 35.51/35.80 (define @t1135 () (or @t1134 @t1133 @t1132 @t1063 @t1061 @t1131 @t1059 @t1056 @t1054 @t1130 @t1051)) % 35.51/35.80 (define @t1136 () (not @t1135)) % 35.51/35.80 (define @t1137 () (forall @t800 @t797)) % 35.51/35.80 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 35.51/35.80 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 35.51/35.80 (assume @p3 (forall @t15 (=> @t14 @t13))) % 35.51/35.80 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 35.51/35.80 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 35.51/35.80 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 35.51/35.80 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 35.51/35.80 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 35.51/35.80 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 35.51/35.80 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 35.51/35.80 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 35.51/35.80 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 35.51/35.80 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 35.51/35.80 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 35.51/35.80 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 35.51/35.80 (assume @p16 (forall @t6 (=> @t30 @t41))) % 35.51/35.80 (assume @p17 (forall @t6 (=> @t43 @t42))) % 35.51/35.80 (assume @p18 (forall @t6 (=> @t30 @t44))) % 35.51/35.80 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 35.51/35.80 (assume @p20 (forall @t6 (=> @t10 (=> (and @t63 @t55 @t64) (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52))))) % 35.51/35.80 (assume @p21 (forall @t6 (=> @t5 (=> @t65 @t63)))) % 35.51/35.80 (assume @p22 (forall @t6 (=> @t10 (=> @t67 @t66)))) % 35.51/35.80 (assume @p23 (forall @t6 (=> @t29 @t27))) % 35.51/35.80 (assume @p24 (forall @t6 (=> @t40 @t70))) % 35.51/35.80 (assume @p25 (forall @t6 (=> (and @t72 (tptp.symmetric @t1) @t73) (and @t72 @t71)))) % 35.51/35.80 (assume @p26 (forall @t6 (=> @t30 @t72))) % 35.51/35.80 (assume @p27 (forall @t51 (=> @t76 @t74))) % 35.51/35.80 (assume @p28 (forall @t6 (=> @t5 (=> @t79 (and @t63 @t65 @t77))))) % 35.51/35.80 (assume @p29 (forall @t6 (=> @t5 (=> @t62 @t80)))) % 35.51/35.80 (assume @p30 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 35.51/35.80 (assume @p31 (forall @t6 (=> (and @t30 @t40) @t82))) % 35.51/35.80 (assume @p32 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t83))))) % 35.51/35.80 (assume @p33 (forall @t6 (=> @t42 @t43))) % 35.51/35.80 (assume @p34 (forall @t6 (=> @t86 @t85))) % 35.51/35.80 (assume @p35 (forall @t51 (=> @t50 (=> @t89 @t88)))) % 35.51/35.80 (assume @p36 (forall @t6 (=> @t5 (=> @t77 @t63)))) % 35.51/35.80 (assume @p37 (forall @t6 (=> @t10 (=> @t66 @t67)))) % 35.51/35.80 (assume @p38 (forall @t6 (=> @t27 @t25))) % 35.51/35.80 (assume @p39 (forall @t6 (=> @t70 @t40))) % 35.51/35.80 (assume @p40 (forall @t6 (=> @t5 (=> (and @t63 @t92 @t93) (and @t63 @t92 @t91 @t90 @t78))))) % 35.51/35.80 (assume @p41 (forall @t6 (=> @t5 (=> (not @t80) @t63)))) % 35.51/35.80 (assume @p42 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t82))) % 35.51/35.80 (assume @p43 (forall @t51 (=> @t50 (=> @t88 @t89)))) % 35.51/35.80 (assume @p44 (forall @t6 (=> @t10 (=> @t95 @t94)))) % 35.51/35.80 (assume @p45 (forall @t6 (=> @t25 @t23))) % 35.51/35.80 (assume @p46 (forall @t6 (=> @t30 @t96))) % 35.51/35.80 (assume @p47 (forall @t6 (=> @t5 (=> @t79 (and @t63 @t97))))) % 35.51/35.80 (assume @p48 (forall @t15 (=> @t105 (=> (and @t102 @t104 @t103 @t100) (and @t102 @t101 @t100 @t99 @t98))))) % 35.51/35.80 (assume @p49 (forall @t6 (=> @t10 (=> @t94 @t95)))) % 35.51/35.80 (assume @p50 (forall @t6 (=> @t23 @t21))) % 35.51/35.80 (assume @p51 (forall @t6 (=> @t5 (=> @t97 @t108)))) % 35.51/35.80 (assume @p52 (forall @t15 (=> @t111 (forall @t109 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 35.51/35.80 (assume @p53 (forall @t6 (=> @t10 (=> @t115 (and @t63 @t113 @t54 @t53 @t52 @t112))))) % 35.51/35.80 (assume @p54 (forall @t6 (=> @t5 (=> @t108 @t97)))) % 35.51/35.80 (assume @p55 (forall @t15 (=> @t118 (forall @t109 (=> @t50 (=> @t48 (and @t47 (not @t116) @t49 @t46))))))) % 35.51/35.80 (assume @p56 (forall @t6 (=> @t10 (=> (and @t63 @t113 @t52 @t112) @t115)))) % 35.51/35.80 (assume @p57 (forall @t6 (=> @t10 (=> (and @t63 @t55 @t113) (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t119))))) % 35.51/35.80 (assume @p58 (forall @t51 (=> @t124 (= @t120 (tptp.unordered_pair_as_carrier_subset @t1 @t45 @t11))))) % 35.51/35.80 (assume @p59 (forall @t15 (= @t125 (tptp.unordered_pair @t11 @t1)))) % 35.51/35.80 (assume @p60 (forall @t15 (= @t127 @t126))) % 35.51/35.80 (assume @p61 (forall @t51 (=> @t130 (= @t128 (tptp.join_commut @t1 @t45 @t11))))) % 35.51/35.80 (assume @p62 (forall @t15 (= @t132 @t131))) % 35.51/35.80 (assume @p63 (forall @t51 (=> @t135 (= @t133 (tptp.meet_commut @t1 @t45 @t11))))) % 35.51/35.80 (assume @p64 (forall @t51 (=> @t138 (= @t136 (tptp.subset_union2 @t1 @t45 @t11))))) % 35.51/35.80 (assume @p65 (forall @t51 (=> @t138 (= @t139 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 35.51/35.80 (assume @p66 (forall @t15 (=> @t141 (or @t140 (tptp.ordinal_subset @t11 @t1))))) % 35.51/35.80 (assume @p67 (forall @t15 (=> @t150 (= @t149 (forall @t147 (= @t146 (and @t144 @t143))))))) % 35.51/35.80 (assume @p68 (forall @t15 (= @t153 (and @t152 @t151)))) % 35.51/35.80 (assume @p69 (forall @t6 (=> @t5 (forall @t162 (=> @t121 (=> @t161 (= (= @t45 @t160) (and @t159 @t158)))))))) % 35.51/35.80 (assume @p70 (forall @t6 (=> @t123 (= @t163 (tptp.identity_as_relation_of @t3))))) % 35.51/35.80 (assume @p71 (forall @t6 (=> @t72 (forall @t162 (=> @t74 (= (= @t45 @t170) (forall @t169 (= @t168 (and @t167 @t166))))))))) % 35.51/35.80 (assume @p72 (forall @t6 (=> @t182 (forall @t20 (=> @t181 (forall @t109 (= @t177 (exists @t157 (and @t176 (forall @t175 (=> @t174 (=> @t172 @t171)))))))))))) % 35.51/35.80 (assume @p73 (forall @t6 (=> @t5 (= @t183 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 35.51/35.80 (assume @p74 (forall @t6 (=> @t189 (forall @t162 (= @t188 (forall @t157 (= @t186 (exists @t175 (and (tptp.in @t164 @t185) @t184 (= @t142 (tptp.apply @t1 @t164))))))))))) % 35.51/35.80 (assume @p75 (forall @t15 (=> @t150 (forall @t109 (=> @t74 (= (= @t45 @t191) (forall @t169 (= @t168 (and @t190 (tptp.in @t165 @t11)))))))))) % 35.51/35.80 (assume @p76 (forall @t6 (=> @t72 (= @t193 (tptp.is_antisymmetric_in @t1 @t192))))) % 35.51/35.80 (assume @p77 (forall @t6 (=> @t182 (forall @t20 (=> @t181 (forall @t109 (= @t194 (forall @t157 (=> @t176 (exists @t175 (and @t174 @t172 @t171))))))))))) % 35.51/35.80 (assume @p78 (forall @t6 (=> @t189 (forall @t162 (= @t197 (forall @t157 (= @t186 (and @t196 (tptp.in @t195 @t11))))))))) % 35.51/35.80 (assume @p79 (forall @t6 (=> @t200 (= @t54 (exists @t20 (and @t122 @t199)))))) % 35.51/35.80 (assume @p80 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (forall @t109 (=> @t204 (= (= @t45 @t203) (forall @t157 (=> (tptp.in @t142 @t3) (= @t186 (forall @t175 (=> @t202 (not (and (tptp.open_subset @t164 @t1) (tptp.in @t142 @t164) (tptp.disjoint @t11 @t164)))))))))))))))) % 35.51/35.80 (assume @p81 (forall @t6 (=> @t72 (forall @t162 (= @t188 (forall @t157 (= @t186 (exists @t175 (and (tptp.in @t207 @t1) @t184))))))))) % 35.51/35.80 (assume @p82 (forall @t6 (=> @t5 (forall @t20 (=> @t210 (= @t209 (and (tptp.subset @t173 @t3) (tptp.subset @t208 @t2)))))))) % 35.51/35.80 (assume @p83 (forall @t6 (=> @t72 (forall @t162 (= @t197 (forall @t157 (= @t186 (exists @t175 (and @t166 @t184))))))))) % 35.51/35.80 (assume @p84 (forall @t6 (=> @t72 (= @t211 (tptp.is_connected_in @t1 @t192))))) % 35.51/35.80 (assume @p85 (forall @t6 (=> @t5 (forall @t20 (=> @t209 (= @t212 (= @t208 (tptp.relation_restriction_as_relation_of @t2 @t173)))))))) % 35.51/35.80 (assume @p86 (forall @t6 (=> @t214 (forall @t20 (=> @t122 (forall @t109 (= @t213 (forall @t157 (=> @t156 (=> @t186 (tptp.below @t1 @t11 @t142))))))))))) % 35.51/35.80 (assume @p87 (forall @t6 (=> @t200 (=> @t54 (forall @t20 (=> @t122 (= (= @t11 @t215) @t199))))))) % 35.51/35.80 (assume @p88 (forall @t6 (=> @t72 (= @t73 (tptp.is_transitive_in @t1 @t192))))) % 35.51/35.80 (assume @p89 (forall @t6 (=> @t214 (forall @t20 (=> @t122 (forall @t109 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t157 (=> @t156 (=> @t186 (tptp.below @t1 @t142 @t11))))))))))) % 35.51/35.80 (assume @p90 (forall @t6 (=> @t189 (forall @t162 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t216)))))) % 35.51/35.80 (assume @p91 (forall @t6 (=> @t220 (forall @t20 (=> @t122 (forall @t109 (=> @t204 (= @t218 (tptp.in @t11 @t217))))))))) % 35.51/35.80 (assume @p92 (forall @t224 (= (= @t142 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t175 (= @t223 (not (and (not (= @t164 @t1)) (not (= @t164 @t11)) @t222))))))) % 35.51/35.80 (assume @p93 (forall @t6 (= @t41 (exists @t20 (and @t150 @t102 (= @t226 @t1) (tptp.in @t225 tptp.omega)))))) % 35.51/35.80 (assume @p94 (forall @t6 (= @t44 (forall @t229 (=> (and @t228 @t227) @t143))))) % 35.51/35.80 (assume @p95 (forall @t51 (=> @t234 (and (=> (=> @t232 @t231) (= @t46 (= @t1 @t233))) (=> @t232 (or @t231 (= @t46 @t230))))))) % 35.51/35.80 (assume @p96 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t237) (= (= @t11 @t236) (and (= @t173 @t32) (forall @t109 (=> @t137 (forall @t157 (=> @t235 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t45 @t142) (tptp.subset_union2 @t1 @t45 @t142)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t45 @t142) (tptp.subset_intersection2 @t1 @t45 @t142)))))))))))) % 35.51/35.80 (assume @p97 (forall @t6 (=> @t239 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= @t238 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 35.51/35.80 (assume @p98 (forall @t6 (=> @t242 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t147 (=> @t241 @t240))))))) % 35.51/35.80 (assume @p99 (forall @t6 (= @t244 (tptp.set_union2 @t1 @t243)))) % 35.51/35.80 (assume @p100 (forall @t6 (=> @t206 (= @t219 (and (tptp.in @t3 @t245) (forall @t20 (=> @t249 (=> (tptp.subset @t11 @t245) (tptp.in @t247 @t245)))) (forall @t20 (=> @t205 (forall @t109 (=> @t204 (=> (and @t246 (tptp.in @t45 @t245)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t245))))))))))) % 35.51/35.80 (assume @p101 (forall @t6 (= @t72 (forall @t20 (not (and @t12 (forall @t147 (not (= @t11 @t145))))))))) % 35.51/35.80 (assume @p102 (forall @t6 (=> @t72 (forall @t20 (= @t251 (forall @t109 (=> @t250 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 35.51/35.80 (assume @p103 (forall @t51 (= @t50 (tptp.subset @t45 @t75)))) % 35.51/35.80 (assume @p104 (forall @t15 (and (=> @t255 (= @t252 (forall @t109 (= @t250 (forall @t157 (=> @t254 @t253)))))) (=> @t231 (= @t252 @t232))))) % 35.51/35.80 (assume @p105 (forall @t6 (=> @t123 (= @t62 @t256)))) % 35.51/35.80 (assume @p106 (forall @t15 (= (= @t11 @t243) (forall @t109 (= @t250 (= @t45 @t1)))))) % 35.51/35.80 (assume @p107 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (= @t258 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t257)))))))) % 35.51/35.80 (assume @p108 (forall @t6 (=> @t206 (forall @t20 (=> @t249 (= @t260 (forall @t109 (=> @t204 (=> @t250 @t259))))))))) % 35.51/35.80 (assume @p109 (forall @t6 (=> @t5 (forall @t20 (=> @t205 (= @t263 (forall @t109 (=> @t121 (forall @t157 (=> @t156 (not (and @t250 @t167 (forall @t175 (=> @t262 (not (and @t184 (tptp.related @t1 @t45 @t164) @t261)))))))))))))))) % 35.51/35.80 (assume @p110 (forall @t6 (=> @t72 (forall @t162 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t157 (= @t186 (and (not @t264) (tptp.in (tptp.ordered_pair @t142 @t11) @t1))))))))) % 35.51/35.80 (assume @p111 (forall @t15 (=> @t150 (= (= @t11 @t267) (and (= @t266 @t1) (forall @t147 (=> (and @t144 @t254) (= @t146 @t265)))))))) % 35.51/35.80 (assume @p112 (forall @t6 (= @t231 (forall @t20 @t13)))) % 35.51/35.80 (assume @p113 (forall @t6 (= @t269 (tptp.rel_str_of @t1 @t268)))) % 35.51/35.80 (assume @p114 (forall @t15 (= (= @t11 @t32) (forall @t109 (= @t250 (tptp.subset @t45 @t1)))))) % 35.51/35.80 (assume @p115 (forall @t6 (=> @t214 (=> @t271 (forall @t162 (=> @t121 (= (= @t45 @t270) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t157 (=> @t156 (=> (tptp.latt_element_smaller @t1 @t142 @t11) (tptp.below @t1 @t45 @t142)))))))))))) % 35.51/35.80 (assume @p116 (forall @t6 (=> @t214 (forall @t20 (= @t272 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 35.51/35.80 (assume @p117 (forall @t6 (= (tptp.centered @t1) (and @t255 (forall @t20 (not (and @t274 @t151 @t83 (= @t273 tptp.empty_set)))))))) % 35.51/35.80 (assume @p118 (forall @t6 (=> @t277 (= @t276 (tptp.rel_str_of @t3 @t275))))) % 35.51/35.80 (assume @p119 (forall @t6 (=> @t200 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= @t198 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 35.51/35.80 (assume @p120 (forall @t6 (=> @t242 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t147 (=> @t241 @t278))))))) % 35.51/35.80 (assume @p121 (forall @t6 (= @t69 (forall @t20 (=> @t12 @t151))))) % 35.51/35.80 (assume @p122 (forall @t6 (=> @t123 (= @t279 tptp.empty_set)))) % 35.51/35.80 (assume @p123 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (= @t153 (forall @t147 (= @t280 @t146)))))))) % 35.51/35.80 (assume @p124 (forall @t15 (and (=> @t117 (= @t19 @t12)) (=> @t30 (= @t19 @t110))))) % 35.51/35.80 (assume @p125 (forall @t51 (= (= @t45 @t125) (forall @t157 (= @t186 (or (= @t142 @t1) @t264)))))) % 35.51/35.80 (assume @p126 (forall @t15 (=> @t19 (= (tptp.proper_element @t11 @t1) (not @t282))))) % 35.51/35.80 (assume @p127 (forall @t6 (=> @t206 (forall @t20 (=> @t249 (= @t284 @t283)))))) % 35.51/35.80 (assume @p128 (forall @t6 (=> @t72 (= @t285 (forall @t20 (not (and (tptp.subset @t11 @t192) @t274 (forall @t109 (not (and @t250 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 35.51/35.80 (assume @p129 (forall @t51 (= (= @t45 @t127) (forall @t157 (= @t186 (or @t254 @t167)))))) % 35.51/35.80 (assume @p130 (forall @t6 (= @t286 (tptp.poset_of_lattice @t236)))) % 35.51/35.80 (assume @p131 (forall @t51 (= (= @t45 @t75) (forall @t157 (= @t186 (exists @t290 (and @t190 @t289 (= @t142 @t288)))))))) % 35.51/35.80 (assume @p132 (forall @t6 (=> @t206 (= @t295 (forall @t20 (=> @t249 (not (and @t294 @t260 (forall @t109 (=> @t293 (not (and @t292 (tptp.is_a_cover_of_carrier @t1 @t45) @t291)))))))))))) % 35.51/35.80 (assume @p133 (forall @t6 (=> @t277 (forall @t20 (=> @t122 (= @t296 @t11)))))) % 35.51/35.80 (assume @p134 (forall @t6 (=> @t239 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= @t297 (= @t238 @t45))))))))) % 35.51/35.80 (assume @p135 (forall @t6 (= @t68 (forall @t162 (not (and @t12 @t144 (not @t300) @t299 @t298)))))) % 35.51/35.80 (assume @p136 (forall @t6 (=> @t123 (= @t301 @t3)))) % 35.51/35.80 (assume @p137 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (= @t152 (forall @t147 (=> @t280 @t146)))))))) % 35.51/35.80 (assume @p138 (forall @t15 (= @t152 @t302))) % 35.51/35.80 (assume @p139 (forall @t6 (=> @t72 (forall @t20 (= @t304 (forall @t109 (not (and @t292 @t303 (forall @t157 (not (and @t186 (tptp.disjoint (tptp.fiber @t1 @t142) @t45)))))))))))) % 35.51/35.80 (assume @p140 (forall @t51 (= (= @t45 @t132) (forall @t157 (= @t186 (and @t254 @t167)))))) % 35.51/35.80 (assume @p141 (forall @t6 (=> @t189 (forall @t162 (and (=> @t307 (= @t306 @t228)) (=> (not @t307) (= @t306 @t230))))))) % 35.51/35.80 (assume @p142 (forall @t6 (=> @t277 (forall @t20 (=> @t310 (= @t308 @t11)))))) % 35.51/35.80 (assume @p143 (forall @t6 (= @t40 @t70))) % 35.51/35.80 (assume @p144 (forall @t6 (=> @t72 (forall @t20 (= (= @t11 @t185) (forall @t109 (= @t250 (exists @t157 @t280)))))))) % 35.51/35.80 (assume @p145 (forall @t6 (=> @t72 (forall @t20 (= @t312 (forall @t147 (=> (and @t250 @t167 @t280 @t311) @t143))))))) % 35.51/35.80 (assume @p146 (forall @t6 (= @t313 @t1))) % 35.51/35.80 (assume @p147 (forall @t15 (= @t282 (forall @t109 (= @t250 (exists @t157 (and @t253 @t254))))))) % 35.51/35.80 (assume @p148 (forall @t6 (=> @t72 (= @t314 (and @t71 @t73 @t193 @t211 @t285))))) % 35.51/35.80 (assume @p149 (forall @t15 (= @t318 (exists @t109 (and @t74 @t47 @t87 @t317 (= @t315 @t11)))))) % 35.51/35.80 (assume @p150 (forall @t51 (= (= @t45 @t319) (forall @t157 (= @t186 (and @t254 (not @t167))))))) % 35.51/35.80 (assume @p151 (forall @t6 (=> @t5 (= @t107 (exists @t20 (and @t122 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 35.51/35.80 (assume @p152 (forall @t6 (=> @t189 (forall @t20 (= @t322 (forall @t109 (= @t250 (exists @t157 @t320)))))))) % 35.51/35.80 (assume @p153 (forall @t6 (=> @t5 (= @t91 (tptp.is_transitive_in @t2 @t3))))) % 35.51/35.80 (assume @p154 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t323 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t152))))))) % 35.51/35.80 (assume @p155 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (= @t324 @t246)))))) % 35.51/35.80 (assume @p156 (forall @t6 (=> @t72 (forall @t20 (= @t322 (forall @t109 (= @t250 (exists @t157 @t311)))))))) % 35.51/35.80 (assume @p157 (forall @t15 (=> @t33 (= @t325 @t319)))) % 35.51/35.80 (assume @p158 (forall @t15 (= @t326 (tptp.unordered_pair @t125 @t243)))) % 35.51/35.80 (assume @p159 (forall @t6 (=> @t72 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t251 @t328 @t312 @t327 @t304)))))) % 35.51/35.80 (assume @p160 (forall @t6 (=> @t5 (= @t90 (tptp.is_antisymmetric_in @t2 @t3))))) % 35.51/35.80 (assume @p161 (forall @t6 (= @t323 (= @t1 @t281)))) % 35.51/35.80 (assume @p162 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (= @t330 (tptp.open_subset @t329 @t1))))))) % 35.51/35.80 (assume @p163 (forall @t6 (=> @t72 (= @t192 (tptp.set_union2 @t185 @t321))))) % 35.51/35.80 (assume @p164 (forall @t6 (=> @t72 (forall @t20 (= @t327 (forall @t147 (not (and @t250 @t167 (not @t143) (not @t280) (not @t311))))))))) % 35.51/35.80 (assume @p165 (forall @t6 (=> @t72 (forall @t20 (= @t332 (tptp.set_intersection2 @t1 @t331)))))) % 35.51/35.80 (assume @p166 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (= (= @t11 @t333) (forall @t147 (= @t146 @t311)))))))) % 35.51/35.80 (assume @p167 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (forall @t109 (=> @t337 (= @t336 (and (= @t316 @t192) (= @t315 @t266) @t87 (forall @t169 (= @t166 (and (tptp.in @t142 @t192) (tptp.in @t164 @t192) (tptp.in (tptp.ordered_pair @t335 @t334) @t11))))))))))))) % 35.51/35.80 (assume @p168 (forall @t15 (= @t338 (= @t132 tptp.empty_set)))) % 35.51/35.80 (assume @p169 (forall @t6 (=> @t5 (forall @t20 (= @t344 (exists @t109 (and @t121 @t343 @t342 (forall @t157 (=> @t156 (=> (and @t340 (forall @t175 (=> @t262 (=> (tptp.relstr_set_smaller @t1 @t11 @t164) @t261)))) @t339)))))))))) % 35.51/35.80 (assume @p170 (forall @t6 (=> @t277 (= @t345 (tptp.a_1_0_filter_1 @t1))))) % 35.51/35.80 (assume @p171 (forall @t6 (=> @t189 (= @t84 (forall @t162 (=> (and @t307 (tptp.in @t45 @t185) (= @t305 (tptp.apply @t1 @t45))) @t240)))))) % 35.51/35.80 (assume @p172 (forall @t6 (=> @t5 (forall @t162 (=> @t121 (= @t159 (forall @t157 (=> @t156 (=> @t167 @t341))))))))) % 35.51/35.80 (assume @p173 (forall @t6 (=> @t214 (= @t57 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= (tptp.join @t1 @t198 @t45) @t45))))))))) % 35.51/35.80 (assume @p174 (forall @t6 (=> @t123 (forall @t20 (=> @t249 (= @t294 (= @t301 @t247))))))) % 35.51/35.80 (assume @p175 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (forall @t109 (=> @t74 (= (= @t45 @t347) (forall @t169 (= @t168 (exists @t346 (and (tptp.in (tptp.ordered_pair @t142 @t287) @t1) (tptp.in (tptp.ordered_pair @t287 @t164) @t11))))))))))))) % 35.51/35.80 (assume @p176 (forall @t6 (=> @t72 (forall @t20 (= @t328 (forall @t348 (=> (and @t250 @t167 @t184 @t280 @t166) (tptp.in (tptp.ordered_pair @t45 @t164) @t1)))))))) % 35.51/35.80 (assume @p177 (forall @t15 (=> @t351 (forall @t109 (=> (tptp.element @t45 @t350) (= (= @t45 @t349) (forall @t157 (=> @t235 (= @t186 (tptp.in (tptp.subset_complement @t1 @t142) @t11)))))))))) % 35.51/35.80 (assume @p178 (forall @t6 (=> @t182 (forall @t20 (=> @t181 (forall @t109 (=> @t354 (= @t353 (tptp.apply_on_structs @t11 @t1 @t352 @t45))))))))) % 35.51/35.80 (assume @p179 (forall @t15 (= @t17 (and @t152 @t355)))) % 35.51/35.80 (assume @p180 (forall @t6 (=> @t5 (forall @t20 (= @t161 (exists @t109 (and @t121 @t159 @t158 (forall @t157 (=> @t156 (=> (and @t155 (forall @t175 (=> @t262 (=> (tptp.relstr_element_smaller @t1 @t11 @t164) (tptp.related @t1 @t164 @t142))))) @t339)))))))))) % 35.51/35.80 (assume @p181 (forall @t6 (=> @t123 (forall @t20 (=> @t178 (forall @t109 (=> @t359 (= @t358 (and @t357 (= (tptp.the_mapping @t1 @t45) (tptp.relation_dom_restr_as_relation_of @t173 @t3 @t352 @t356))))))))))) % 35.51/35.80 (assume @p182 (forall @t6 (=> @t189 (=> @t84 (= @t360 @t333))))) % 35.51/35.80 (assume @p183 (forall @t6 (=> @t5 (forall @t162 (=> @t121 (= @t343 (forall @t157 (=> @t156 (=> @t167 @t154))))))))) % 35.51/35.80 (assume @p184 (forall @t6 (=> @t5 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= @t361 (tptp.in @t216 @t2))))))))) % 35.51/35.80 (assume @p185 (forall @t6 (=> @t72 (= @t71 (tptp.is_reflexive_in @t1 @t192))))) % 35.51/35.80 (assume @p186 (forall @t6 (=> @t5 (forall @t162 (=> @t121 (=> @t344 (= (= @t45 @t362) (and @t343 @t342)))))))) % 35.51/35.80 (assume @p187 @t369) % 35.51/35.80 (assume @p188 (forall @t15 (=> @t105 (and @t371 (tptp.rel_str @t370))))) % 35.51/35.80 (assume @p189 (forall @t51 (=> @t379 (and @t373 (tptp.latt_str @t372))))) % 35.51/35.80 (assume @p190 (forall @t224 (=> @t383 (tptp.element @t381 (tptp.the_carrier @t380))))) % 35.51/35.80 (assume @p191 true) % 35.51/35.80 (assume @p192 (forall @t15 (=> @t214 (tptp.element @t270 @t3)))) % 35.51/35.80 (assume @p193 (forall @t15 (=> @t214 (tptp.element @t272 @t3)))) % 35.51/35.80 (assume @p194 (forall @t224 (=> @t386 (tptp.element @t384 @t75)))) % 35.51/35.80 (assume @p195 (forall @t6 (and @t387 (tptp.latt_str @t236)))) % 35.51/35.80 (assume @p196 (forall @t51 (=> (and @t63 @t129 @t122 @t121) (tptp.element @t238 @t3)))) % 35.51/35.80 (assume @p197 (forall @t6 (tptp.element @t388 @t350))) % 35.51/35.80 (assume @p198 (forall @t6 (=> @t123 (tptp.element @t279 @t201)))) % 35.51/35.80 (assume @p199 (forall @t15 (=> @t72 (tptp.relation_of2_as_subset @t389 @t11 @t11)))) % 35.51/35.80 (assume @p200 (forall @t15 (=> @t390 (tptp.element @t258 @t201)))) % 35.51/35.80 (assume @p201 (forall @t224 (=> @t392 (tptp.element @t391 @t173)))) % 35.51/35.80 (assume @p202 (forall @t6 (tptp.relation @t267))) % 35.51/35.80 (assume @p203 (forall @t15 (=> @t5 (tptp.element @t362 @t3)))) % 35.51/35.80 (assume @p204 (forall @t6 (and (tptp.reflexive @t268) (tptp.antisymmetric @t268) (tptp.transitive @t268) (tptp.v1_partfun1 @t268 @t1 @t1) (tptp.relation_of2_as_subset @t268 @t1 @t1)))) % 35.51/35.80 (assume @p205 (forall @t396 (=> @t395 (tptp.element @t393 @t45)))) % 35.51/35.80 (assume @p206 (forall @t6 (=> @t189 (and (tptp.relation @t360) (tptp.function @t360))))) % 35.51/35.80 (assume @p207 (forall @t6 (=> @t277 (and (tptp.reflexive @t275) (tptp.antisymmetric @t275) (tptp.transitive @t275) (tptp.v1_partfun1 @t275 @t3 @t3) (tptp.relation_of2_as_subset @t275 @t3 @t3))))) % 35.51/35.80 (assume @p208 (forall @t51 (=> (and @t63 @t134 @t122 @t121) (tptp.element @t198 @t3)))) % 35.51/35.80 (assume @p209 (forall @t6 (=> @t123 (tptp.element @t301 @t201)))) % 35.51/35.80 (assume @p210 (forall @t51 (=> @t124 (tptp.element @t120 @t201)))) % 35.51/35.80 (assume @p211 (forall @t6 (tptp.element @t313 @t32))) % 35.51/35.80 (assume @p212 (forall @t15 (=> @t72 (tptp.relation @t332)))) % 35.51/35.80 (assume @p213 (forall @t15 (=> @t5 (tptp.element @t160 @t3)))) % 35.51/35.80 (assume @p214 (forall @t6 (and @t397 (tptp.rel_str @t269)))) % 35.51/35.80 (assume @p215 (forall @t6 (=> @t277 (and @t401 @t400 @t399 @t398 (tptp.rel_str @t276))))) % 35.51/35.80 (assume @p216 (forall @t51 (=> @t130 (tptp.element @t128 @t3)))) % 35.51/35.80 (assume @p217 (forall @t15 (=> @t33 (tptp.element @t325 @t32)))) % 35.51/35.80 (assume @p218 (forall @t51 (=> (and @t63 @t123 @t180 @t178 @t354) (tptp.element @t353 @t3)))) % 35.51/35.80 (assume @p219 (forall @t6 (=> @t5 (tptp.element @t183 @t3)))) % 35.51/35.80 (assume @p220 (forall @t6 (and @t402 (tptp.rel_str @t286)))) % 35.51/35.80 (assume @p221 (forall @t15 (=> (and @t63 @t55 @t10 @t122) (tptp.element @t296 @t309)))) % 35.51/35.80 (assume @p222 (forall @t51 (=> @t135 (tptp.element @t133 @t3)))) % 35.51/35.80 (assume @p223 (forall @t6 (=> @t72 @t403))) % 35.51/35.80 (assume @p224 (forall @t51 (=> @t50 (tptp.element @t233 @t32)))) % 35.51/35.80 (assume @p225 (forall @t51 (=> @t138 (tptp.element @t136 @t32)))) % 35.51/35.80 (assume @p226 (forall @t15 (=> (and @t63 @t55 @t10 @t310) (tptp.element @t308 @t3)))) % 35.51/35.80 (assume @p227 (forall @t6 (=> @t200 (tptp.element @t215 @t3)))) % 35.51/35.80 (assume @p228 (forall @t15 (=> @t405 @t404))) % 35.51/35.80 (assume @p229 (forall @t51 (=> @t50 (tptp.element @t407 @t406)))) % 35.51/35.80 (assume @p230 (forall @t15 (=> @t351 (tptp.element @t408 @t32)))) % 35.51/35.80 (assume @p231 (forall @t51 (=> @t138 (tptp.element @t139 @t32)))) % 35.51/35.80 (assume @p232 (forall @t6 (and (tptp.v1_partfun1 @t409 @t1 @t1) (tptp.relation_of2_as_subset @t409 @t1 @t1)))) % 35.51/35.80 (assume @p233 (forall @t15 (=> @t390 (tptp.element @t203 @t201)))) % 35.51/35.80 (assume @p234 (forall @t6 @t410)) % 35.51/35.80 (assume @p235 (forall @t15 (=> @t351 (tptp.element @t411 @t32)))) % 35.51/35.80 (assume @p236 (forall @t51 (=> @t138 (tptp.element @t412 @t32)))) % 35.51/35.80 (assume @p237 (forall @t6 (=> @t123 (and (tptp.function @t163) (tptp.quasi_total @t163 @t3 @t3) (tptp.relation_of2_as_subset @t163 @t3 @t3))))) % 35.51/35.80 (assume @p238 (forall @t15 (=> @t72 @t413))) % 35.51/35.80 (assume @p239 (forall @t15 (=> @t351 (tptp.element @t349 @t350)))) % 35.51/35.80 (assume @p240 (forall @t15 (=> (and @t63 @t10 @t180 @t237) (and (tptp.strict_latt_str @t380) (tptp.latt_str @t380))))) % 35.51/35.80 (assume @p241 (forall @t224 (=> @t415 (tptp.element @t414 @t11)))) % 35.51/35.80 (assume @p242 (forall @t15 (=> @t150 @t416))) % 35.51/35.80 (assume @p243 (forall @t224 (=> @t50 (tptp.relation_of2_as_subset @t417 @t1 @t11)))) % 35.51/35.80 (assume @p244 (forall @t6 (=> @t277 (tptp.relation @t345)))) % 35.51/35.80 (assume @p245 (forall @t6 (=> @t134 @t123))) % 35.51/35.80 (assume @p246 @t418) % 35.51/35.80 (assume @p247 (forall @t6 (=> @t206 @t123))) % 35.51/35.80 (assume @p248 @t421) % 35.51/35.80 (assume @p249 (forall @t6 (=> @t129 @t123))) % 35.51/35.80 (assume @p250 (forall @t6 (=> @t10 (and @t134 @t129)))) % 35.51/35.80 (assume @p251 (forall @t15 (=> @t422 (forall @t109 (=> @t218 @t204))))) % 35.51/35.80 (assume @p252 (forall @t6 (=> @t5 (forall @t20 (=> @t209 @t210))))) % 35.51/35.80 (assume @p253 @t426) % 35.51/35.80 (assume @p254 (forall @t51 (=> @t234 @t76))) % 35.51/35.80 (assume @p255 (forall @t6 (=> @t134 (and @t429 @t428 (tptp.relation_of2_as_subset @t7 @t427 @t3))))) % 35.51/35.80 (assume @p256 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 35.51/35.80 (assume @p257 (forall @t6 (=> @t206 (tptp.element @t245 @t248)))) % 35.51/35.80 (assume @p258 (forall @t15 (=> @t424 (and (tptp.function @t352) (tptp.quasi_total @t352 @t173 @t3) (tptp.relation_of2_as_subset @t352 @t173 @t3))))) % 35.51/35.80 (assume @p259 (forall @t6 (=> @t129 (and @t431 @t430 (tptp.relation_of2_as_subset @t8 @t427 @t3))))) % 35.51/35.80 (assume @p260 (exists @t6 @t134)) % 35.51/35.80 (assume @p261 (exists @t6 @t5)) % 35.51/35.80 (assume @p262 (exists @t6 @t206)) % 35.51/35.80 (assume @p263 (exists @t6 @t123)) % 35.51/35.80 (assume @p264 (forall @t6 (=> @t123 (exists @t20 @t178)))) % 35.51/35.80 (assume @p265 (exists @t6 @t129)) % 35.51/35.80 (assume @p266 (exists @t6 @t10)) % 35.51/35.80 (assume @p267 (forall @t15 (=> @t422 (exists @t109 @t218)))) % 35.51/35.80 (assume @p268 (forall @t15 (exists @t109 @t50))) % 35.51/35.80 (assume @p269 (forall @t6 (exists @t20 @t19))) % 35.51/35.80 (assume @p270 (forall @t6 (=> @t5 (exists @t20 @t209)))) % 35.51/35.80 (assume @p271 (forall @t15 (=> @t424 (exists @t109 @t358)))) % 35.51/35.80 (assume @p272 (forall @t15 (exists @t109 @t234))) % 35.51/35.80 (assume @p273 (forall @t15 (=> @t83 @t432))) % 35.51/35.80 (assume @p274 (forall @t15 (=> @t434 (and (tptp.empty @t433) (tptp.relation @t433))))) % 35.51/35.80 (assume @p275 (forall @t15 (=> @t41 @t432))) % 35.51/35.80 (assume @p276 (forall @t6 (=> @t30 (and (tptp.empty @t333) @t403)))) % 35.51/35.80 (assume @p277 (forall @t15 (=> @t41 (tptp.finite @t319)))) % 35.51/35.80 (assume @p278 (and @t437 @t436 @t435)) % 35.51/35.80 (assume @p279 (forall @t15 (=> (and @t72 @t44 @t83) (tptp.finite @t187)))) % 35.51/35.80 (assume @p280 (forall @t15 (=> @t439 (and @t413 (tptp.relation_empty_yielding @t170))))) % 35.51/35.80 (assume @p281 (forall @t15 (=> @t440 (tptp.finite @t75)))) % 35.51/35.80 (assume @p282 (forall @t6 (and @t441 (tptp.finite @t243)))) % 35.51/35.80 (assume @p283 (forall @t6 (and @t442 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 35.51/35.80 (assume @p284 (forall @t15 (=> (and @t72 @t44 @t150 @t102) (and @t404 (tptp.function @t347))))) % 35.51/35.80 (assume @p285 (forall @t6 (and @t457 @t387 @t456 @t455 @t454 @t453 @t452 @t451 @t450 @t449 @t448 @t447 @t446 @t445 @t444 @t443 (tptp.complete_latt_str @t236)))) % 35.51/35.80 (assume @p286 (forall @t6 (and @t457 @t387))) % 35.51/35.80 (assume @p287 (forall @t15 (=> (and @t117 @t105) (and (not (tptp.empty_carrier @t370)) @t371)))) % 35.51/35.80 (assume @p288 (forall @t6 @t458)) % 35.51/35.80 (assume @p289 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 35.51/35.80 (assume @p290 (forall @t6 (=> @t123 (and (tptp.empty @t279) (tptp.v1_membered @t279) (tptp.v2_membered @t279) (tptp.v3_membered @t279) (tptp.v4_membered @t279) (tptp.v5_membered @t279))))) % 35.51/35.80 (assume @p291 (forall @t15 (=> @t405 (tptp.relation @t132)))) % 35.51/35.80 (assume @p292 @t460) % 35.51/35.80 (assume @p293 (forall @t6 @t442)) % 35.51/35.80 (assume @p294 @t437) % 35.51/35.80 (assume @p295 (forall @t15 (=> (tptp.relation_of2 @t11 @t243 @t243) (and (not (tptp.empty_carrier @t461)) (tptp.strict_rel_str @t461) (tptp.trivial_carrier @t461))))) % 35.51/35.80 (assume @p296 (forall @t6 (=> @t277 (and @t464 @t401 @t400 @t399 @t398 @t463 @t462)))) % 35.51/35.80 (assume @p297 (forall @t15 (not (tptp.empty @t326)))) % 35.51/35.80 (assume @p298 (forall @t15 (=> @t21 @t465))) % 35.51/35.80 (assume @p299 (forall @t15 (=> @t21 @t466))) % 35.51/35.80 (assume @p300 (forall @t15 (=> @t23 (and @t465 @t467)))) % 35.51/35.80 (assume @p301 (forall @t6 (=> (and @t40 @t81) (and @t458 @t470 @t469 @t468 (tptp.natural @t244))))) % 35.51/35.80 (assume @p302 (forall @t15 (and @t471 (tptp.finite @t125)))) % 35.51/35.80 (assume @p303 (forall @t6 (and @t410 @t472))) % 35.51/35.80 (assume @p304 (forall @t6 (=> @t475 (and @t474 @t431 @t430 (tptp.v1_binop_1 @t8 @t3) @t473)))) % 35.51/35.80 (assume @p305 (forall @t6 (and @t457 @t387 @t456 @t455 @t454 @t453 @t452 @t451 @t450))) % 35.51/35.80 (assume @p306 (forall @t6 (=> (and @t92 @t91 @t90 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 35.51/35.80 (assume @p307 (and @t436 @t435 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t437 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 35.51/35.80 (assume @p308 (forall @t6 (and @t410 @t472 (tptp.reflexive @t148) (tptp.symmetric @t148) (tptp.antisymmetric @t148) (tptp.transitive @t148)))) % 35.51/35.80 (assume @p309 (forall @t6 (=> @t182 (not (tptp.empty @t301))))) % 35.51/35.80 (assume @p310 (forall @t15 (=> @t405 (tptp.relation @t127)))) % 35.51/35.80 (assume @p311 (forall @t6 @t441)) % 35.51/35.80 (assume @p312 (forall @t15 (=> @t476 (tptp.closed_subset @t203 @t1)))) % 35.51/35.80 (assume @p313 (forall @t15 (=> @t117 (not (tptp.empty @t127))))) % 35.51/35.80 (assume @p314 (forall @t6 (=> (and @t63 @t55 @t53 @t10) (and @t464 @t401 @t400 @t399 @t398 @t477 @t463 @t462)))) % 35.51/35.80 (assume @p315 (forall @t15 (=> @t23 (and @t466 @t478)))) % 35.51/35.80 (assume @p316 (forall @t15 (=> @t25 (and @t465 @t467 @t479)))) % 35.51/35.80 (assume @p317 (forall @t15 (=> @t25 (and @t466 @t478 @t480)))) % 35.51/35.80 (assume @p318 (forall @t15 (=> @t27 (and @t465 @t467 @t479 @t481)))) % 35.51/35.80 (assume @p319 (forall @t15 (=> @t27 (and @t466 @t478 @t480 @t482)))) % 35.51/35.80 (assume @p320 (forall @t15 (=> @t29 (and @t465 @t467 @t479 @t481 (tptp.v5_membered @t132))))) % 35.51/35.80 (assume @p321 (forall @t15 (=> @t29 (and @t466 @t478 @t480 @t482 (tptp.v5_membered @t131))))) % 35.51/35.80 (assume @p322 (forall @t15 (=> @t21 @t483))) % 35.51/35.80 (assume @p323 (forall @t15 (=> @t23 (and @t483 @t484)))) % 35.51/35.80 (assume @p324 (forall @t15 (=> @t25 (and @t483 @t484 @t485)))) % 35.51/35.80 (assume @p325 (forall @t6 (=> @t85 (and @t403 (tptp.function @t333))))) % 35.51/35.80 (assume @p326 (forall @t6 (=> (and @t63 @t60 @t129) (and @t474 @t431 @t430 (tptp.v2_binop_1 @t8 @t3) @t473)))) % 35.51/35.80 (assume @p327 (forall @t6 (and @t457 @t387 @t456 @t455 @t454 @t453 @t452 @t451 @t450 @t449 @t448 @t447 @t446 @t445 @t444 @t443))) % 35.51/35.80 (assume @p328 (forall @t51 (=> (and @t117 @t102 @t378 @t377 @t47 @t376 @t375) (and (not (tptp.empty_carrier @t372)) @t373)))) % 35.51/35.80 (assume @p329 (forall @t15 (=> (and @t103 @t487 @t486 @t104 @t105) (and @t371 (tptp.reflexive_relstr @t370) (tptp.transitive_relstr @t370) (tptp.antisymmetric_relstr @t370))))) % 35.51/35.80 (assume @p330 (forall @t6 (=> @t40 (and @t458 @t470 @t469 @t468)))) % 35.51/35.80 (assume @p331 (forall @t15 (=> @t405 (tptp.relation @t319)))) % 35.51/35.80 (assume @p332 (forall @t15 @t471)) % 35.51/35.80 (assume @p333 (forall @t15 (=> (and @t219 @t206 @t330 @t205) @t488))) % 35.51/35.80 (assume @p334 (forall @t15 (=> @t117 (not (tptp.empty @t126))))) % 35.51/35.80 (assume @p335 (forall @t6 (=> (and @t63 @t55 @t54 @t10) (and @t464 @t401 @t400 @t399 @t398 @t489 @t463 @t462)))) % 35.51/35.80 (assume @p336 (forall @t15 (=> @t27 (and @t483 @t484 @t485 @t490)))) % 35.51/35.80 (assume @p337 (forall @t15 (=> @t29 (and @t483 @t484 @t485 @t490 (tptp.v5_membered @t319))))) % 35.51/35.80 (assume @p338 (forall @t15 (=> @t189 (and @t413 (tptp.function @t170))))) % 35.51/35.80 (assume @p339 (forall @t6 (=> (and @t63 @t59 @t134) (and @t492 @t429 @t428 (tptp.v1_binop_1 @t7 @t3) @t491)))) % 35.51/35.80 (assume @p340 (forall @t6 (=> @t277 (and @t464 @t401 @t400 @t399 @t398)))) % 35.51/35.80 (assume @p341 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t281) (tptp.epsilon_connected @t281) (tptp.ordinal @t281))))) % 35.51/35.80 (assume @p342 (and @t437 @t436)) % 35.51/35.80 (assume @p343 (forall @t15 (=> @t118 (not (tptp.empty @t75))))) % 35.51/35.80 (assume @p344 (forall @t15 (=> (and @t219 @t206 @t324 @t205) @t493))) % 35.51/35.80 (assume @p345 (forall @t6 (=> @t271 (and @t464 @t401 @t400 @t399 @t398 @t489 @t477 (tptp.bounded_relstr @t276) @t463 @t462 (tptp.complete_relstr @t276))))) % 35.51/35.80 (assume @p346 (forall @t15 (=> @t494 (and @t416 (tptp.function @t191))))) % 35.51/35.80 (assume @p347 (forall @t6 (=> (and @t63 @t58 @t134) (and @t492 @t429 @t428 (tptp.v2_binop_1 @t7 @t3) @t491)))) % 35.51/35.80 (assume @p348 (forall @t6 (=> @t495 (tptp.closed_subset @t301 @t1)))) % 35.51/35.80 (assume @p349 (forall @t6 (=> @t497 (not @t496)))) % 35.51/35.80 (assume @p350 (forall @t6 (and @t397 @t500 @t499 @t498))) % 35.51/35.80 (assume @p351 (and @t437 (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))) % 35.51/35.80 (assume @p352 (forall @t6 (=> @t497 (not @t501)))) % 35.51/35.80 (assume @p353 (forall @t15 (=> @t476 @t502))) % 35.51/35.80 (assume @p354 (forall @t6 (=> @t117 (and (not (tptp.empty_carrier @t269)) @t397 @t500 @t499 @t498)))) % 35.51/35.80 (assume @p355 (forall @t6 (=> @t30 (and @t496 (tptp.relation @t185))))) % 35.51/35.80 (assume @p356 (forall @t6 (and @t506 @t402 @t505 @t504 @t503))) % 35.51/35.80 (assume @p357 (forall @t6 (=> @t30 (and @t501 (tptp.relation @t321))))) % 35.51/35.80 (assume @p358 (forall @t6 (and @t506 @t402 @t505 @t504 @t503 (tptp.lower_bounded_relstr @t286) (tptp.upper_bounded_relstr @t286) (tptp.bounded_relstr @t286) (tptp.with_suprema_relstr @t286) (tptp.with_infima_relstr @t286) (tptp.complete_relstr @t286)))) % 35.51/35.80 (assume @p359 (forall @t15 (=> @t440 (tptp.finite @t127)))) % 35.51/35.80 (assume @p360 (forall @t15 (=> @t434 (and (tptp.empty @t347) @t404)))) % 35.51/35.80 (assume @p361 (forall @t15 (=> @t507 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t147 (and @t354 @t176 (= @t1 (tptp.ordered_pair_as_product_element @t173 @t173 @t45 @t142)) (tptp.below_refl @t11 @t45 @t142))))))) % 35.51/35.80 (assume @p362 (forall @t51 (=> (and @t180 @t237) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t509)))) % 35.51/35.80 (assume @p363 (forall @t51 (=> (and @t180 @t382 (tptp.complete_latt_str @t11) @t237) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t509)))) % 35.51/35.80 (assume @p364 (forall @t15 (=> @t105 (forall @t147 (=> (= @t370 (tptp.rel_str_of @t45 @t142)) @t511))))) % 35.51/35.80 (assume @p365 (forall @t51 (=> @t379 (forall @t513 (=> (= @t372 (tptp.latt_str_of @t142 @t164 @t287)) (and @t508 (= @t11 @t164) @t512)))))) % 35.51/35.80 (assume @p366 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 35.51/35.80 (assume @p367 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 35.51/35.80 (assume @p368 (forall @t51 (=> @t138 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 35.51/35.80 (assume @p369 (forall @t51 (=> @t138 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 35.51/35.80 (assume @p370 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t325) @t11)))) % 35.51/35.80 (assume @p371 (forall @t6 (=> @t72 (= (tptp.relation_inverse @t333) @t1)))) % 35.51/35.80 (assume @p372 (forall @t15 (=> @t351 (= (tptp.complements_of_subsets @t1 @t349) @t11)))) % 35.51/35.80 (assume @p373 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 35.51/35.80 (assume @p374 (forall @t6 (=> @t72 (= @t71 (forall @t20 (=> @t514 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 35.51/35.80 (assume @p375 (forall @t6 (not (= @t243 tptp.empty_set)))) % 35.51/35.80 (assume @p376 (forall @t15 (=> @t14 (= (tptp.set_union2 @t243 @t11) @t11)))) % 35.51/35.80 (assume @p377 (forall @t15 (not (and @t515 @t14)))) % 35.51/35.80 (assume @p378 (forall @t15 (=> @t516 @t515))) % 35.51/35.80 (assume @p379 (forall @t15 (=> @t150 (tptp.subset (tptp.relation_dom @t191) @t225)))) % 35.51/35.80 (assume @p380 (forall @t6 (=> @t72 (= @t73 (forall @t229 (=> (and @t228 @t280) @t227)))))) % 35.51/35.80 (assume @p381 (forall @t15 (= (tptp.subset @t243 @t11) @t14))) % 35.51/35.80 (assume @p382 (forall @t15 (=> @t150 (not (and @t517 (tptp.equipotent @t1 @t266) (forall @t109 (=> @t74 (not (tptp.well_orders @t45 @t1))))))))) % 35.51/35.80 (assume @p383 (forall @t15 (= (= @t319 tptp.empty_set) @t152))) % 35.51/35.80 (assume @p384 (forall @t15 (=> @t33 (forall @t109 (=> @t250 @t144))))) % 35.51/35.80 (assume @p385 (forall @t6 (=> @t72 (= @t193 (forall @t162 (=> (and @t228 @t518) @t240)))))) % 35.51/35.80 (assume @p386 (forall @t51 (=> @t152 (or @t144 (tptp.subset @t1 (tptp.set_difference @t11 @t519)))))) % 34.39/35.80 (assume @p387 (forall @t6 (=> @t182 (forall @t20 (=> @t205 (forall @t109 (=> @t121 (= (tptp.in @t45 @t257) @t298)))))))) % 34.39/35.80 (assume @p388 (forall @t6 (=> @t72 (= @t211 (forall @t162 (not (and @t514 (tptp.in @t45 @t192) @t299 @t520 (not @t518)))))))) % 34.39/35.80 (assume @p389 (forall @t15 (= (tptp.subset @t1 @t521) (or @t231 (= @t1 @t521))))) % 34.39/35.80 (assume @p390 (forall @t15 (=> @t14 (tptp.subset @t1 @t522)))) % 34.39/35.80 (assume @p391 (forall @t224 (= (tptp.in @t326 (tptp.cartesian_product2 @t45 @t142)) (and @t523 (tptp.in @t11 @t142))))) % 34.39/35.80 (assume @p392 (forall @t15 (=> @t302 @t524))) % 34.39/35.80 (assume @p393 (forall @t51 (=> @t337 (= @t526 (and (tptp.in @t11 @t316) @t12))))) % 34.39/35.80 (assume @p394 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t113 @t119 @t54 @t53))) % 34.39/35.80 (assume @p395 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52))) % 34.39/35.80 (assume @p396 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t112))) % 34.39/35.80 (assume @p397 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t113 @t54 @t53 @t52 @t112 @t114))) % 34.39/35.80 (assume @p398 (exists @t6 (and @t117 @t69 @t68 @t40 @t81))) % 34.39/35.80 (assume @p399 (exists @t6 (and @t117 @t41))) % 34.39/35.80 (assume @p400 (exists @t6 @t189)) % 34.39/35.80 (assume @p401 (forall @t15 (exists @t109 (and @t50 @t74 @t47 @t46)))) % 34.39/35.80 (assume @p402 (exists @t6 (and @t5 @t63 @t4 @t92 @t91 @t90 @t78))) % 34.39/35.80 (assume @p403 (exists @t6 (and @t117 @t21 @t23 @t25 @t27 @t29))) % 34.39/35.80 (assume @p404 (exists @t6 (and @t5 @t4))) % 34.39/35.80 (assume @p405 (exists @t6 @t96)) % 34.39/35.80 (assume @p406 (exists @t6 (and @t69 @t68 @t40 @t323))) % 34.39/35.80 (assume @p407 (exists @t6 (and @t72 @t44 @t84 @t30))) % 34.39/35.80 (assume @p408 (exists @t6 (and @t72 @t438 @t44))) % 34.39/35.80 (assume @p409 (exists @t6 (and @t30 @t72))) % 34.39/35.80 (assume @p410 (forall @t6 (=> @t117 (exists @t20 (and @t33 @t111))))) % 34.39/35.80 (assume @p411 (forall @t6 (=> @t495 (exists @t20 (and @t205 @t324))))) % 34.39/35.80 (assume @p412 (exists @t6 @t30)) % 34.39/35.80 (assume @p413 (exists @t6 (and @t5 @t63 @t4 @t92 @t91 @t90 @t65 @t77 @t78 @t93))) % 34.39/35.80 (assume @p414 (forall @t6 (exists @t20 (and @t33 @t110 @t150 @t102 @t101 @t39 @t38 @t37 @t28 @t83)))) % 34.39/35.80 (assume @p415 (exists @t6 @t86)) % 34.39/35.80 (assume @p416 (forall @t6 (exists @t20 (and @t105 @t150 @t102 @t101 @t100 @t99 @t98)))) % 34.39/35.80 (assume @p417 (exists @t6 (and @t5 @t63 @t4 @t92 @t91 @t90 @t65 @t77 @t78))) % 34.39/35.80 (assume @p418 (exists @t6 (and @t5 @t63 @t4 @t92 @t91 @t90))) % 34.39/35.80 (assume @p419 (exists @t6 (and @t72 @t44 @t84 @t30 @t69 @t68 @t40))) % 34.39/35.80 (assume @p420 (forall @t15 (exists @t109 (and @t50 @t74 @t47)))) % 34.39/35.80 (assume @p421 (exists @t6 @t497)) % 34.39/35.80 (assume @p422 (forall @t6 (exists @t20 (and @t33 @t110)))) % 34.39/35.80 (assume @p423 (forall @t6 (exists @t20 (and @t33 (not @t527))))) % 34.39/35.80 (assume @p424 (forall @t6 (=> @t495 (exists @t20 (and @t205 @t324 @t330))))) % 34.39/35.80 (assume @p425 (exists @t6 @t117)) % 34.39/35.80 (assume @p426 (exists @t6 (and @t5 @t63 @t92 @t91 @t90 @t65 @t77 @t78 @t107 @t106 @t97))) % 34.39/35.80 (assume @p427 (forall @t6 (=> @t117 (exists @t20 (and @t33 @t111 @t83))))) % 34.39/35.80 (assume @p428 (exists @t6 @t85)) % 34.39/35.80 (assume @p429 (exists @t6 (and @t10 @t9))) % 34.39/35.80 (assume @p430 (exists @t6 (and @t117 @t69 @t68 @t40))) % 34.39/35.80 (assume @p431 (forall @t6 (exists @t20 (and @t105 @t150 @t103 (tptp.symmetric @t11) @t487 @t486 @t104)))) % 34.39/35.80 (assume @p432 (exists @t6 @t439)) % 34.39/35.80 (assume @p433 (exists @t6 (and @t123 @t63))) % 34.39/35.80 (assume @p434 (forall @t6 (=> @t182 (exists @t20 (and @t205 @t111))))) % 34.39/35.80 (assume @p435 (exists @t6 (and @t10 @t63 @t9))) % 34.39/35.80 (assume @p436 (forall @t6 (=> @t495 (exists @t20 (and @t205 @t330))))) % 34.39/35.80 (assume @p437 (forall @t6 (=> @t220 (exists @t20 (and @t205 @t111 @t330))))) % 34.39/35.80 (assume @p438 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55))) % 34.39/35.80 (assume @p439 (forall @t224 (=> @t383 (= @t381 @t145)))) % 34.39/35.80 (assume @p440 (forall @t224 (=> @t386 (= @t384 @t145)))) % 34.39/35.80 (assume @p441 (forall @t6 (= @t388 @t32))) % 34.39/35.80 (assume @p442 (forall @t15 (=> @t72 (= @t389 @t332)))) % 34.39/35.80 (assume @p443 (forall @t224 (=> @t392 (= @t391 @t335)))) % 34.39/35.80 (assume @p444 (forall @t6 (= @t268 @t267))) % 34.39/35.80 (assume @p445 (forall @t396 (=> @t395 (= @t393 (tptp.apply_binary @t142 @t164 @t287))))) % 34.39/35.80 (assume @p446 (forall @t6 (=> @t277 (= @t275 @t345)))) % 34.39/35.80 (assume @p447 (forall @t51 (=> @t124 (= @t120 @t528)))) % 34.39/35.80 (assume @p448 (forall @t51 (=> @t130 (= @t128 @t238)))) % 34.39/35.80 (assume @p449 (forall @t51 (=> @t135 (= @t133 @t198)))) % 34.39/35.80 (assume @p450 (forall @t51 (=> @t50 (= @t233 @t316)))) % 34.39/35.80 (assume @p451 (forall @t51 (=> @t138 (= @t136 @t529)))) % 34.39/35.80 (assume @p452 (forall @t51 (=> @t50 (= @t407 @t315)))) % 34.39/35.80 (assume @p453 (forall @t15 (=> @t351 (= @t408 @t522)))) % 34.39/35.80 (assume @p454 (forall @t51 (=> @t138 (= @t139 @t530)))) % 34.39/35.80 (assume @p455 (forall @t6 (= @t409 @t148))) % 34.39/35.80 (assume @p456 (forall @t15 (=> @t351 (= @t411 @t273)))) % 34.39/35.80 (assume @p457 (forall @t51 (=> @t138 (= @t412 @t531)))) % 34.39/35.80 (assume @p458 (forall @t224 (=> @t415 (= @t414 @t335)))) % 34.39/35.80 (assume @p459 (forall @t224 (=> @t50 (= @t417 (tptp.relation_dom_restriction @t45 @t142))))) % 34.39/35.80 (assume @p460 (forall @t51 (= @t234 @t50))) % 34.39/35.80 (assume @p461 (forall @t15 (=> @t141 (= @t140 @t152)))) % 34.39/35.80 (assume @p462 (forall @t15 (= @t318 (tptp.are_equipotent @t1 @t11)))) % 34.39/35.80 (assume @p463 (forall @t51 (=> @t533 (= @t532 @t297)))) % 34.39/35.80 (assume @p464 (forall @t51 (=> @t534 (= (tptp.related_reflexive @t1 @t11 @t45) @t361)))) % 34.39/35.80 (assume @p465 (forall @t15 (=> @t141 (tptp.ordinal_subset @t1 @t1)))) % 34.39/35.80 (assume @p466 (forall @t15 (tptp.subset @t1 @t1))) % 34.39/35.80 (assume @p467 (forall @t15 (tptp.equipotent @t1 @t1))) % 34.39/35.80 (assume @p468 (forall @t51 (=> @t533 (tptp.below_refl @t1 @t11 @t11)))) % 34.39/35.80 (assume @p469 (forall @t51 (=> @t534 (tptp.related_reflexive @t1 @t11 @t11)))) % 34.39/35.80 (assume @p470 (forall @t15 (=> @t552 (=> @t551 (exists @t109 (and @t74 @t47 (forall @t169 (= @t168 (and @t254 @t254 (exists @t539 (and (= @t142 @t536) (tptp.in @t164 @t536) (forall @t538 (=> @t537 (tptp.in (tptp.ordered_pair @t164 @t535) @t11)))))))))))))) % 34.39/35.80 (assume @p471 (forall @t6 (=> @t555 (exists @t20 (and @t150 @t102 (forall @t147 (= @t146 (and @t144 @t144 (= @t142 @t519))))))))) % 34.39/35.80 (assume @p472 (forall @t15 (=> @t568 (=> @t567 (exists @t109 (and @t74 @t47 (forall @t169 (= @t168 (and @t561 @t561 @t559))))))))) % 34.39/35.80 (assume @p473 (forall @t15 (=> @t568 (=> @t569 (exists @t109 (and @t74 @t47 (forall @t169 (= @t168 (and @t167 @t167 @t559))))))))) % 34.39/35.80 (assume @p474 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t109 (=> @t570 (=> @t144 (tptp.ordinal_subset @t11 @t45))))))))) % 34.39/35.80 (assume @p475 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t594)) (not (and @t255 (forall @t20 (not (and @t12 (forall @t109 (=> (and @t144 @t593) (= @t45 @t11))))))))))) (forall @t157 (=> @t577 (=> @t592 (=> (tptp.in @t591 tptp.omega) (forall @t545 (=> (tptp.element @t542 (tptp.powerset (tptp.powerset @t591))) (not (and (not (= @t542 tptp.empty_set)) (forall @t544 (not (and @t543 (forall @t539 (=> (and (tptp.in @t536 @t542) (tptp.subset @t541 @t536)) (= @t536 @t541)))))))))))))) (forall @t157 (=> @t577 (=> (and (tptp.being_limit_ordinal @t142) (forall @t538 (=> (tptp.ordinal @t535) (=> (tptp.in @t535 @t142) (=> (tptp.in @t535 tptp.omega) (forall @t590 (=> (tptp.element @t586 (tptp.powerset (tptp.powerset @t535))) (not (and (not (= @t586 tptp.empty_set)) (forall @t589 (not (and @t588 (forall @t587 (=> (and (tptp.in @t585 @t586) (tptp.subset @t584 @t585)) (= @t585 @t584))))))))))))))) (or (= @t142 tptp.empty_set) (=> @t576 (forall @t583 (=> (tptp.element @t580 @t574) (not (and (not (= @t580 tptp.empty_set)) (forall @t582 (not (and (tptp.in @t578 @t580) (forall @t581 (=> (and (tptp.in @t579 @t580) (tptp.subset @t578 @t579)) (= @t579 @t578)))))))))))))))) (forall @t157 (=> @t577 (=> @t576 (forall @t575 (=> (tptp.element @t573 @t574) (not (and (not (= @t573 tptp.empty_set)) (forall (@list @t571) (not (and (tptp.in @t571 @t573) (forall (@list @t572) (=> (and (tptp.in @t572 @t573) (tptp.subset @t571 @t572)) (= @t572 @t571))))))))))))))) % 34.39/35.80 (assume @p476 (forall @t51 (=> @t598 (exists @t157 (and @t597 (forall @t290 (= (tptp.in @t288 @t142) (and @t190 @t596 (tptp.in (tptp.ordered_pair @t334 @t595) @t11))))))))) % 34.39/35.80 (assume @p477 (forall @t15 (=> @t552 (=> @t551 (exists @t109 (forall @t157 (= @t186 (exists @t175 (and @t190 @t190 (exists @t539 (and (= @t164 @t536) @t600 @t599))))))))))) % 34.39/35.80 (assume @p478 (forall @t15 (=> @t552 (forall @t109 (=> (forall @t513 (=> (and @t540 (exists @t611 (and @t610 @t608 (exists @t544 (and (= @t547 @t541) (tptp.in @t542 @t541) (forall @t539 (=> @t607 (tptp.in (tptp.ordered_pair @t542 @t536) @t11))))))) @t606 (exists @t605 (and (= @t604 @t287) (tptp.in @t535 @t1) (exists @t589 (and (= @t535 @t584) (tptp.in @t586 @t584) (forall @t587 (=> (tptp.in @t585 @t584) (tptp.in (tptp.ordered_pair @t586 @t585) @t11)))))))) @t603)) (exists @t157 (forall @t175 (= @t223 (exists @t346 (and (tptp.in @t287 @t602) @t601 (exists (@list @t580 @t578) (and (= (tptp.ordered_pair @t580 @t578) @t164) (tptp.in @t580 @t1) (exists @t581 (and (= @t580 @t579) (tptp.in @t578 @t579) (forall @t575 (=> (tptp.in @t573 @t579) (tptp.in (tptp.ordered_pair @t578 @t573) @t11))))))))))))))))) % 34.39/35.80 (assume @p479 (forall @t51 (=> @t618 (=> (forall @t513 (=> (and @t540 (exists @t549 (and @t616 (exists @t545 (and @t615 @t614 (tptp.relstr_set_smaller @t1 @t547 @t542))))) @t606 (exists @t544 (and (= @t541 @t287) (exists @t539 (and (tptp.element @t536 @t3) @t613 (tptp.relstr_set_smaller @t1 @t541 @t536)))))) @t603)) (exists @t157 (forall @t175 (= @t223 (exists @t346 (and (tptp.in @t287 @t612) @t601 (exists @t538 (and (= @t535 @t164) (exists @t590 (and (tptp.element @t586 @t3) (tptp.in @t586 @t11) (tptp.relstr_set_smaller @t1 @t535 @t586)))))))))))))) % 34.39/35.80 (assume @p480 (forall @t6 (=> @t555 (exists @t20 (forall @t109 (= @t250 (exists @t157 (and @t254 @t254 (= @t45 (tptp.singleton @t142)))))))))) % 34.39/35.80 (assume @p481 (forall @t15 (=> (forall @t348 (=> (and @t143 (exists @t625 (and (= @t624 @t142) @t596 (= @t547 (tptp.singleton @t287)))) @t623 (exists (@list @t542 @t541) (and (= (tptp.ordered_pair @t542 @t541) @t164) @t622 (= @t541 (tptp.singleton @t542))))) @t540)) (exists @t109 (forall @t157 (= @t186 (exists @t175 (and (tptp.in @t164 @t75) @t621 (exists @t620 (and (= @t619 @t142) (tptp.in @t536 @t1) (= @t535 (tptp.singleton @t536)))))))))))) % 34.39/35.80 (assume @p482 (forall @t6 (=> @t40 (=> (forall @t229 (=> (and @t240 (exists @t175 (and @t627 @t623 (=> (tptp.in @t164 tptp.omega) (forall @t346 (=> (tptp.element @t287 (tptp.powerset (tptp.powerset @t164))) @t626))))) @t278 (exists @t544 (and (tptp.ordinal @t541) (= @t142 @t541) (=> (tptp.in @t541 tptp.omega) (forall @t539 (=> (tptp.element @t536 (tptp.powerset (tptp.powerset @t541))) (not (and (not (= @t536 tptp.empty_set)) (forall @t538 (not (and @t537 (forall @t590 (=> (and (tptp.in @t586 @t536) (tptp.subset @t535 @t586)) (= @t586 @t535)))))))))))))) @t143)) (exists @t20 (forall @t109 (= @t250 (exists @t157 (and (tptp.in @t142 @t244) @t339 (exists @t589 (and (tptp.ordinal @t584) (= @t45 @t584) (=> (tptp.in @t584 tptp.omega) (forall @t587 (=> (tptp.element @t585 (tptp.powerset (tptp.powerset @t584))) (not (and (not (= @t585 tptp.empty_set)) (forall @t583 (not (and (tptp.in @t580 @t585) (forall @t582 (=> (and (tptp.in @t578 @t585) (tptp.subset @t580 @t578)) (= @t578 @t580)))))))))))))))))))))) % 34.39/35.80 (assume @p483 (forall @t15 (=> @t476 (=> (forall @t348 (=> (and @t143 (exists @t346 (and @t565 @t630 (tptp.closed_subset @t287 @t1) @t628)) @t623 (exists @t549 (and @t562 @t616 (tptp.closed_subset @t547 @t1) (tptp.subset @t11 @t164)))) @t540)) (exists @t109 (forall @t157 (= @t186 (exists @t175 (and @t629 @t621 (exists @t545 (and @t558 @t557 (tptp.closed_subset @t542 @t1) @t628))))))))))) % 34.39/35.80 (assume @p484 (forall @t15 (=> @t632 (=> (forall @t348 (=> (and @t143 @t631 @t623 (tptp.in (tptp.set_difference @t301 @t164) @t11)) @t540)) (exists @t109 (forall @t157 (= @t186 (exists @t175 (and @t629 @t621 @t631))))))))) % 34.39/35.80 (assume @p485 (forall @t15 (=> @t634 (=> (forall @t348 (=> (and @t143 (exists @t346 (and @t289 (= @t142 (tptp.set_difference @t287 @t243)))) @t623 (exists @t549 (and @t633 (= @t164 (tptp.set_difference @t547 @t243))))) @t540)) (exists @t109 (forall @t157 (= @t186 (exists @t175 (and (tptp.in @t164 @t32) @t621 (exists @t545 (and @t614 (= @t142 (tptp.set_difference @t542 @t243))))))))))))) % 34.39/35.80 (assume @p486 (forall @t15 (=> @t568 (=> @t567 (exists @t109 (forall @t157 (= @t186 (exists @t175 (and @t637 @t637 @t636))))))))) % 34.39/35.80 (assume @p487 (forall @t15 (=> @t568 (forall @t109 (=> (forall @t513 (=> (and @t540 (exists @t611 (and @t610 (tptp.in @t547 @t560) @t646)) @t606 (exists @t620 (and @t643 (tptp.in @t536 @t560) @t642))) @t603)) (exists @t157 (forall @t175 (= @t223 (exists @t346 (and (tptp.in @t287 @t641) @t601 (exists @t640 (and @t639 (tptp.in @t584 @t560) @t638)))))))))))) % 34.39/35.80 (assume @p488 (forall @t15 (=> @t568 (=> @t569 (exists @t109 (forall @t157 (= @t186 (exists @t175 (and @t184 @t184 @t636))))))))) % 34.39/35.80 (assume @p489 (forall @t15 (=> @t568 (forall @t109 (=> (forall @t513 (=> (and @t540 (exists @t611 (and @t610 @t633 @t646)) @t606 (exists @t620 (and @t643 @t613 @t642))) @t603)) (exists @t157 (forall @t175 (= @t223 (exists @t346 (and (tptp.in @t287 @t647) @t601 (exists @t640 (and @t639 (tptp.in @t584 @t11) @t638)))))))))))) % 34.39/35.80 (assume @p490 (forall @t51 (=> @t598 (=> (forall @t513 (=> (and @t540 (exists @t611 (and (= @t164 @t609) (tptp.in (tptp.ordered_pair @t648 (tptp.apply @t45 @t542)) @t11))) @t606 (exists (@list @t541 @t536) (and (= @t287 (tptp.ordered_pair @t541 @t536)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t541) (tptp.apply @t45 @t536)) @t11)))) @t603)) (exists @t157 (forall @t175 (= @t223 (exists @t346 (and (tptp.in @t287 @t374) @t601 (exists @t605 (and (= @t164 @t604) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t535) (tptp.apply @t45 @t586)) @t11)))))))))))) % 34.39/35.80 (assume @p491 (forall @t6 (=> (forall @t229 (=> (and @t240 @t570 @t278 @t577) @t143)) (exists @t20 (forall @t109 (= @t250 (exists @t157 (and @t254 @t339 @t570)))))))) % 34.39/35.80 (assume @p492 (forall @t51 (=> @t651 (=> (forall @t513 (=> (and @t540 @t649 @t606 (tptp.in (tptp.relation_image @t45 @t287) @t11)) @t603)) (exists @t157 (forall @t175 (= @t223 (exists @t346 (and (tptp.in @t287 @t650) @t601 @t649))))))))) % 34.39/35.80 (assume @p493 (forall @t15 (=> @t37 (=> (forall @t348 (=> (and @t143 (exists @t346 (and (tptp.ordinal @t287) @t606 @t596)) @t623 (exists @t549 (and (tptp.ordinal @t547) @t653 @t608))) @t540)) (exists @t109 (forall @t157 (= @t186 (exists @t175 (and (tptp.in @t164 @t652) @t621 (exists @t545 (and (tptp.ordinal @t542) (= @t142 @t542) @t622))))))))))) % 34.39/35.80 (assume @p494 (forall @t15 (=> @t552 (forall @t109 (exists @t157 (forall @t175 (= @t223 (and (tptp.in @t164 @t602) (exists @t625 (and @t654 @t596 (exists @t545 (and (= @t287 @t542) (tptp.in @t547 @t542) (forall @t544 (=> @t543 (tptp.in (tptp.ordered_pair @t547 @t541) @t11))))))))))))))) % 34.39/35.80 (assume @p495 (forall @t51 (=> @t618 (exists @t157 (forall @t175 (= @t223 (and (tptp.in @t164 @t612) (exists @t346 (and @t601 @t655))))))))) % 34.39/35.80 (assume @p496 (forall @t15 (exists @t109 (forall @t157 (= @t186 (and (tptp.in @t142 @t75) (exists @t290 (and (= @t288 @t142) @t190 (= @t287 @t656))))))))) % 34.39/35.80 (assume @p497 (forall @t6 (=> @t40 (exists @t20 (forall @t109 (= @t250 (and (tptp.in @t45 @t244) (exists @t157 (and @t577 @t143 @t592))))))))) % 34.39/35.80 (assume @p498 (forall @t15 (=> @t476 (exists @t109 (forall @t157 (= @t186 (and @t658 @t657))))))) % 34.39/35.80 (assume @p499 (forall @t15 (=> @t632 (exists @t109 (forall @t157 (= @t186 (and @t658 @t631))))))) % 34.39/35.80 (assume @p500 (forall @t15 (=> @t634 (exists @t109 (forall @t157 (= @t186 (and (tptp.in @t142 @t32) (exists @t175 (and @t184 (= @t142 (tptp.set_difference @t164 @t243))))))))))) % 34.39/35.80 (assume @p501 (forall @t15 (=> @t568 (forall @t109 (exists @t157 (forall @t175 (= @t223 (and (tptp.in @t164 @t641) (exists @t625 (and @t654 (tptp.in @t287 @t560) @t659)))))))))) % 34.39/35.80 (assume @p502 (forall @t15 (=> @t568 (forall @t109 (exists @t157 (forall @t175 (= @t223 (and (tptp.in @t164 @t647) (exists @t625 (and @t654 @t289 @t659)))))))))) % 34.39/35.80 (assume @p503 (forall @t51 (=> @t598 (exists @t157 (forall @t175 (= @t223 (and (tptp.in @t164 @t374) (exists @t625 (and (= @t164 @t624) (tptp.in (tptp.ordered_pair @t595 @t648) @t11)))))))))) % 34.39/35.80 (assume @p504 (forall @t6 (exists @t20 (forall @t109 (= @t250 (and @t144 @t570)))))) % 34.39/35.80 (assume @p505 (forall @t51 (=> @t651 (exists @t157 (forall @t175 (= @t223 (and (tptp.in @t164 @t650) @t649))))))) % 34.39/35.80 (assume @p506 (forall @t15 (=> @t37 (exists @t109 (forall @t157 (= @t186 (and (tptp.in @t142 @t652) (exists @t175 (and @t627 @t540 @t190))))))))) % 34.39/35.80 (assume @p507 (forall @t51 (=> @t618 (=> (and @t291 (exists @t157 (and @t156 @t167 (tptp.relstr_set_smaller @t1 tptp.empty_set @t142))) (forall @t290 (=> (and @t660 (tptp.subset @t287 @t45) @t655) (exists @t545 (and @t615 @t614 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t287 @t656) @t542)))))) (exists @t544 (and (tptp.element @t541 @t3) (tptp.in @t541 @t11) (tptp.relstr_set_smaller @t1 @t45 @t541))))))) % 34.39/35.80 (assume @p508 (forall @t15 (=> @t552 (=> (and (forall @t348 (=> (and @t144 @t550 @t546) @t540)) (forall @t109 (not (and @t144 (forall @t157 (not (exists @t539 (and (= @t45 @t536) @t600 @t599)))))))) (exists @t109 (and @t74 @t47 @t317 (forall @t157 (=> @t254 (exists @t590 (and (= @t142 @t586) (tptp.in @t335 @t586) (forall @t589 (=> @t588 (tptp.in (tptp.ordered_pair @t335 @t584) @t11))))))))))))) % 34.39/35.80 (assume @p509 (forall @t6 (=> (and (forall @t229 (=> (and @t12 @t554 @t553) @t143)) (forall @t20 (not (and @t12 (forall @t109 (not @t554)))))) @t663))) % 34.39/35.80 (assume @p510 (forall @t15 (=> @t568 (=> (and (forall @t348 (=> (and @t564 @t566 @t563) @t540)) (forall @t109 (not (and @t564 @t665)))) (exists @t109 (and @t74 @t47 (= @t316 @t560) (forall @t157 (=> @t561 @t664)))))))) % 34.39/35.80 (assume @p511 (forall @t15 (=> @t568 (=> (and (forall @t348 (=> (and @t250 @t566 @t563) @t540)) (forall @t109 (not (and @t250 @t665)))) (exists @t109 (and @t74 @t47 (= @t316 @t11) (forall @t157 (=> @t167 @t664)))))))) % 34.39/35.80 (assume @p512 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t109 (=> (tptp.element @t45 (tptp.powerset @t406)) (not (and @t303 (forall @t157 (not (and @t186 (forall @t175 (=> (and @t660 (tptp.subset @t142 @t164)) @t621))))))))))))) (=> @t666 (forall @t346 (=> (tptp.element @t287 @t350) @t626)))))) (forall @t6 (=> @t40 (=> @t666 (forall @t544 (=> (tptp.element @t541 @t350) (not (and (not (= @t541 tptp.empty_set)) (forall @t539 (not (and @t607 (forall @t538 (=> (and (tptp.in @t535 @t541) (tptp.subset @t536 @t535)) (= @t535 @t536))))))))))))))) % 34.39/35.80 (assume @p513 (forall @t6 @t663)) % 34.39/35.80 (assume @p514 (forall @t15 (=> @t476 (exists @t109 (and @t293 (forall @t157 (=> @t667 (= @t186 @t657)))))))) % 34.39/35.80 (assume @p515 (forall @t15 (=> @t632 (exists @t109 (and @t293 (forall @t157 (=> @t667 (= @t186 @t631)))))))) % 34.39/35.80 (assume @p516 (forall @t15 (=> @t338 (tptp.disjoint @t11 @t1)))) % 34.39/35.80 (assume @p517 (forall @t15 (=> @t318 (tptp.equipotent @t11 @t1)))) % 34.39/35.80 (assume @p518 (forall @t6 (tptp.in @t1 @t244))) % 34.39/35.80 (assume @p519 (forall @t15 (=> @t351 (and @t669 (not (and (not @t668) @t232)))))) % 34.39/35.80 (assume @p520 (forall @t224 (not (and (= @t125 (tptp.unordered_pair @t45 @t142)) (not @t510) (not @t508))))) % 34.39/35.80 (assume @p521 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t315)))))) % 34.39/35.80 (assume @p522 (forall @t15 (=> @t150 (tptp.subset @t670 @t1)))) % 34.39/35.80 (assume @p523 (forall @t15 (=> @t150 (tptp.subset @t191 @t11)))) % 34.39/35.80 (assume @p524 (forall @t15 (=> @t150 (tptp.subset @t670 @t226)))) % 34.39/35.80 (assume @p525 (forall @t51 (=> @t152 (and (tptp.subset @t602 @t647) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 34.39/35.80 (assume @p526 (forall @t15 (=> @t150 (= @t670 (tptp.set_intersection2 @t226 @t1))))) % 34.39/35.80 (assume @p527 (forall @t224 (=> (and @t152 @t265) (tptp.subset @t602 (tptp.cartesian_product2 @t11 @t142))))) % 34.39/35.80 (assume @p528 (forall @t15 (=> @t351 (=> @t274 (= @t671 (tptp.subset_complement @t1 @t408)))))) % 34.39/35.80 (assume @p529 (forall @t51 (=> @t234 (and (tptp.subset @t316 @t1) (tptp.subset @t315 @t11))))) % 34.39/35.80 (assume @p530 (forall @t15 (=> @t351 (=> @t274 (= @t672 (tptp.subset_complement @t1 @t411)))))) % 34.39/35.80 (assume @p531 (forall @t15 (=> @t152 (= @t127 @t11)))) % 34.39/35.80 (assume @p532 (forall @t6 (exists @t20 (and @t14 @t674 (forall @t109 (=> @t250 (tptp.in @t612 @t11))) @t673)))) % 34.39/35.80 (assume @p533 (forall @t6 (=> @t220 (= @t295 (forall @t20 (=> @t249 (not (and (tptp.centered @t11) @t284 (= @t675 tptp.empty_set))))))))) % 34.39/35.80 (assume @p534 (forall @t15 (=> (and @t152 @t83) @t41))) % 34.39/35.80 (assume @p535 (forall @t6 (=> @t123 (forall @t20 (=> @t249 (= (tptp.finite @t560) @t83)))))) % 34.39/35.80 (assume @p536 (forall @t51 (=> @t74 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t676))))) % 34.39/35.80 (assume @p537 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t157 (and (tptp.in @t142 @t316) (tptp.in (tptp.ordered_pair @t142 @t1) @t45) @t167)))))) % 34.39/35.80 (assume @p538 (forall @t15 (=> @t150 (tptp.subset @t677 @t226)))) % 34.39/35.80 (assume @p539 (forall @t15 (=> @t494 (tptp.subset @t679 @t1)))) % 34.39/35.80 (assume @p540 (forall @t15 (=> @t150 (= @t677 (tptp.relation_image @t11 @t680))))) % 34.39/35.80 (assume @p541 (forall @t15 (=> @t150 (=> (tptp.subset @t1 @t225) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t677)))))) % 34.39/35.80 (assume @p542 (forall @t6 (=> @t72 (= (tptp.relation_image @t1 @t185) @t321)))) % 34.39/35.80 (assume @p543 (forall @t15 (=> @t494 (=> @t681 (= @t679 @t1))))) % 34.39/35.80 (assume @p544 (forall @t224 (=> @t684 (=> (tptp.subset @t683 @t11) @t682)))) % 34.39/35.80 (assume @p545 (forall @t6 (=> @t123 (forall @t20 (=> @t205 (= (tptp.subset_intersection2 @t3 @t11 @t301) @t11)))))) % 34.39/35.80 (assume @p546 (forall @t6 (=> @t685 (forall @t20 (= @t344 (exists @t109 (and @t121 @t343 @t342))))))) % 34.39/35.80 (assume @p547 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (= @t686 (tptp.relation_image @t11 @t321))))))) % 34.39/35.80 (assume @p548 (forall @t51 (=> @t74 (= (tptp.in @t1 @t687) (exists @t157 (and (tptp.in @t142 @t315) (tptp.in (tptp.ordered_pair @t1 @t142) @t45) @t167)))))) % 34.39/35.80 (assume @p549 (forall @t15 (=> @t150 (tptp.subset @t678 @t225)))) % 34.39/35.80 (assume @p550 (forall @t224 (=> @t684 (=> @t152 @t682)))) % 34.39/35.80 (assume @p551 (forall @t6 (=> @t206 (forall @t20 (=> @t249 (= @t284 (tptp.open_subsets @t560 @t1))))))) % 34.39/35.80 (assume @p552 (forall @t51 (=> @t74 (= (tptp.in @t1 @t688) (and @t523 (tptp.in @t1 @t331)))))) % 34.39/35.80 (assume @p553 (forall @t6 (=> @t685 (forall @t20 (= @t161 (exists @t109 (and @t121 @t159 @t158))))))) % 34.39/35.80 (assume @p554 (forall @t15 (=> @t150 (not (and @t255 @t681 (= @t678 tptp.empty_set)))))) % 34.39/35.80 (assume @p555 (forall @t51 (=> @t74 (=> @t152 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t687))))) % 34.39/35.80 (assume @p556 (forall @t15 (=> @t494 (=> @t41 (tptp.finite @t677))))) % 34.39/35.80 (assume @p557 (forall @t6 (=> @t123 (forall @t20 (=> @t205 (= @t257 @t329)))))) % 34.39/35.80 (assume @p558 (forall @t6 (=> @t206 (forall @t20 (=> @t249 (= @t260 (tptp.closed_subsets @t560 @t1))))))) % 34.39/35.80 (assume @p559 (forall @t15 (=> @t150 (= @t689 (tptp.relation_dom_restriction @t191 @t1))))) % 34.39/35.80 (assume @p560 (forall @t15 (tptp.subset @t132 @t1))) % 34.39/35.80 (assume @p561 (forall @t6 (=> @t41 (forall @t20 (=> @t351 (not (and @t274 (forall @t109 (not (and @t250 (forall @t157 (=> (and @t167 @t265) @t339)))))))))))) % 34.39/35.80 (assume @p562 (forall @t15 (=> @t150 (= @t689 (tptp.relation_rng_restriction @t1 @t690))))) % 34.39/35.80 (assume @p563 (forall @t6 (= (tptp.bottom_of_relstr @t286) tptp.empty_set))) % 34.39/35.80 (assume @p564 (forall @t51 (=> @t74 (=> (tptp.in @t1 (tptp.relation_field @t688)) (and @t692 @t14))))) % 34.39/35.80 (assume @p565 (forall @t51 (=> (and @t152 @t693) (tptp.subset @t1 @t530)))) % 34.39/35.80 (assume @p566 (forall @t6 (=> @t123 (forall @t20 (=> @t178 (forall @t109 (=> @t358 (tptp.subset @t356 @t173)))))))) % 34.39/35.80 (assume @p567 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.39/35.80 (assume @p568 (forall @t15 (=> @t696 (forall @t109 (=> @t695 (and (= (tptp.join @t236 @t11 @t45) @t529) (= (tptp.meet @t236 @t11 @t45) @t530))))))) % 34.39/35.80 (assume @p569 (forall @t15 (=> @t14 @t697))) % 34.39/35.80 (assume @p570 (forall @t6 (=> (and @t63 @t91 @t5) (forall @t20 (=> @t205 (= (and @t111 @t263) (forall @t109 (=> (and @t291 @t617) (exists @t157 (and @t156 @t167 @t698)))))))))) % 34.39/35.80 (assume @p571 (forall @t51 (=> (and @t152 @t593) @t693))) % 34.39/35.80 (assume @p572 (forall @t6 (and (= (tptp.the_carrier @t269) @t1) (= (tptp.the_InternalRel @t269) @t268)))) % 34.39/35.80 (assume @p573 (= @t594 (tptp.singleton tptp.empty_set))) % 34.39/35.80 (assume @p574 (forall @t51 (=> @t74 (=> @t700 (and @t699 (tptp.in @t11 @t315)))))) % 34.39/35.80 (assume @p575 (forall @t15 (=> @t150 (and (tptp.subset @t701 @t266) (tptp.subset @t701 @t1))))) % 34.39/35.80 (assume @p576 (forall @t6 (=> @t123 (forall @t20 (=> @t178 (forall @t109 (=> @t358 (forall @t157 (=> @t176 (forall @t175 (=> @t174 (forall @t346 (=> @t704 (forall @t549 (=> @t703 (=> (and @t606 @t653 @t702) @t172)))))))))))))))) % 34.39/35.80 (assume @p577 (forall @t15 (=> @t494 (forall @t109 (=> @t337 (= @t707 (and @t699 (tptp.in @t705 @t225)))))))) % 34.39/35.80 (assume @p578 (forall @t224 (=> @t709 (forall @t175 (=> (and (tptp.relation @t164) (tptp.function @t164)) (=> @t144 (or @t232 (= (tptp.apply (tptp.relation_composition @t142 @t164) @t45) (tptp.apply @t164 @t708))))))))) % 34.39/35.80 (assume @p579 (forall @t6 (=> @t69 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 34.39/35.80 (assume @p580 (forall @t6 (=> @t72 (tptp.subset @t1 (tptp.cartesian_product2 @t185 @t321))))) % 34.39/35.80 (assume @p581 (forall @t51 (=> @t74 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 34.39/35.80 (assume @p582 @t728) % 34.39/35.80 (assume @p583 (forall @t15 (=> @t494 (forall @t109 (=> @t337 (=> @t707 (= (tptp.apply @t706 @t1) (tptp.apply @t11 @t705)))))))) % 34.39/35.80 (assume @p584 (forall @t6 (=> @t123 (forall @t20 (=> @t205 (= (tptp.subset_difference @t3 @t301 @t329) @t11)))))) % 34.39/35.80 (assume @p585 (forall @t51 (=> (tptp.relation_of2_as_subset @t45 @t11 @t1) (= (forall @t157 (not (and @t167 (forall @t175 (not @t168))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t45) @t11))))) % 34.39/35.80 (assume @p586 (forall @t15 (=> @t150 (=> @t103 (tptp.reflexive @t689))))) % 34.39/35.80 (assume @p587 (forall @t15 (=> @t494 (forall @t109 (=> @t337 (=> (tptp.in @t1 @t225) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 34.39/35.80 (assume @p588 (forall @t6 (=> (and @t63 @t59 @t57 @t10) (forall @t20 (=> @t122 (forall @t109 (=> @t121 (tptp.below @t1 @t133 @t11)))))))) % 34.39/35.80 (assume @p589 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 34.39/35.80 (assume @p590 (forall @t51 (=> @t234 (= (forall @t157 (not (and @t167 (forall @t175 (not (tptp.in @t207 @t45)))))) (= @t407 @t11))))) % 34.39/35.80 (assume @p591 (forall @t15 (=> @t150 (=> @t729 (tptp.connected @t689))))) % 34.39/35.80 (assume @p592 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t516 @t355 @t13))))))) % 34.39/35.80 (assume @p593 (forall @t15 (=> @t150 (=> @t486 (tptp.transitive @t689))))) % 34.39/35.80 (assume @p594 (forall @t6 (=> @t685 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (=> (and @t361 (tptp.related @t1 @t45 @t11)) @t240)))))))) % 34.39/35.80 (assume @p595 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (=> @t152 (and (tptp.subset @t185 @t225) (tptp.subset @t321 @t226)))))))) % 34.39/35.80 (assume @p596 (forall @t15 (=> @t150 (=> @t487 (tptp.antisymmetric @t689))))) % 34.39/35.80 (assume @p597 (forall @t15 (=> @t150 (=> @t732 (and @t731 @t730))))) % 34.39/35.80 (assume @p598 (forall @t6 (=> @t189 (=> (tptp.finite @t185) (tptp.finite @t321))))) % 34.39/35.80 (assume @p599 (forall @t6 (=> @t475 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (=> (and @t297 (tptp.below @t1 @t45 @t11)) @t240)))))))) % 34.39/35.80 (assume @p600 (forall @t6 (=> (and @t91 @t5) (forall @t20 (=> @t122 (forall @t109 (=> @t121 (forall @t157 (=> @t156 (=> (and @t361 @t341) @t733)))))))))) % 34.39/35.80 (assume @p601 (forall @t6 (exists @t20 (and @t150 @t732)))) % 34.39/35.80 (assume @p602 (forall @t51 (=> @t152 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t530)))) % 34.39/35.80 (assume @p603 (forall @t15 (=> @t507 (forall @t109 (=> @t354 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t735 @t1 @t734))))))) % 34.39/35.80 (assume @p604 (forall @t6 (=> @t117 (not (and (forall @t20 (not (and @t12 @t232))) (forall @t20 (=> @t494 (not (and @t662 (forall @t109 (=> @t144 (tptp.in @t661 @t45)))))))))))) % 34.39/35.80 (assume @p605 (forall @t15 (=> @t152 (= @t132 @t1)))) % 34.39/35.80 (assume @p606 (forall @t15 (=> @t507 (forall @t109 (=> @t737 (= (tptp.relstr_element_smaller @t735 @t1 @t45) (tptp.latt_set_smaller @t11 @t736 @t1))))))) % 34.39/35.80 (assume @p607 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (= @t330 @t488)))))) % 34.39/35.80 (assume @p608 (forall @t6 (=> @t271 (forall @t20 (and (= @t270 (tptp.join_on_relstr @t276 @t11)) (= @t272 (tptp.meet_on_relstr @t276 @t11))))))) % 34.39/35.80 (assume @p609 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.39/35.80 (assume @p610 (forall @t15 (=> @t696 (forall @t109 (=> @t695 (= (tptp.below @t236 @t11 @t45) @t593)))))) % 34.39/35.80 (assume @p611 @t739) % 34.39/35.80 (assume @p612 (forall @t15 (=> (forall @t109 (= @t144 @t250)) @t153))) % 34.39/35.80 (assume @p613 (forall @t6 (tptp.reflexive @t267))) % 34.39/35.80 (assume @p614 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 34.39/35.80 (assume @p615 (forall @t15 (=> (tptp.element @t11 @t740) (forall @t109 (=> (tptp.element @t45 @t740) (= (tptp.related_reflexive @t286 @t11 @t45) @t593)))))) % 34.39/35.80 (assume @p616 (forall @t15 (=> @t507 (forall @t109 (=> @t354 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t735 @t1 @t734))))))) % 34.39/35.80 (assume @p617 (forall @t51 (=> @t74 (=> @t700 (and @t692 (tptp.in @t11 @t691)))))) % 34.39/35.80 (assume @p618 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (= @t324 @t493)))))) % 34.39/35.80 (assume @p619 (forall @t6 (=> @t685 (forall @t20 (=> @t122 (forall @t109 (and (=> @t741 @t742) (=> @t742 @t741)))))))) % 34.39/35.80 (assume @p620 (forall @t15 (=> @t507 (forall @t109 (=> @t737 (= (tptp.relstr_set_smaller @t735 @t1 @t45) (tptp.latt_element_smaller @t11 @t736 @t1))))))) % 34.39/35.80 (assume @p621 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t151))) @t40))) % 34.39/35.80 (assume @p622 (forall @t15 (=> @t150 (=> @t743 (tptp.well_founded_relation @t689))))) % 34.39/35.80 (assume @p623 (forall @t6 (=> @t277 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t345) @t532)))))))) % 34.39/35.80 (assume @p624 (forall @t15 (=> @t37 (not (and @t152 @t255 (forall @t109 (=> @t570 (not (and @t144 (forall @t157 (=> @t577 (=> @t254 (tptp.ordinal_subset @t45 @t142))))))))))))) % 34.39/35.80 (assume @p625 (forall @t15 (=> @t150 (=> @t517 @t730)))) % 34.39/35.80 (assume @p626 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t244 @t11))))))) % 34.39/35.80 (assume @p627 (forall @t51 (=> @t152 (tptp.subset (tptp.set_difference @t1 @t45) @t531)))) % 34.39/35.80 (assume @p628 (forall @t224 (=> (= @t326 @t145) @t511))) % 34.39/35.80 (assume @p629 (forall @t15 (=> @t494 (= @t149 (and @t662 (forall @t109 (=> @t144 (= @t661 @t45)))))))) % 34.39/35.80 (assume @p630 (forall @t6 (=> @t271 (forall @t20 (=> @t122 (forall @t109 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t213 (forall @t157 (=> @t156 (=> (tptp.latt_set_smaller @t1 @t142 @t45) (tptp.below_refl @t1 @t142 @t11)))))))))))) % 34.39/35.80 (assume @p631 (forall @t15 (=> @t12 (= (tptp.apply @t148 @t11) @t11)))) % 34.39/35.80 (assume @p632 (forall @t15 (tptp.subset @t319 @t1))) % 34.39/35.80 (assume @p633 (forall @t6 (=> @t72 (and (= @t321 (tptp.relation_dom @t333)) (= @t185 (tptp.relation_rng @t333)))))) % 34.39/35.80 (assume @p634 (forall @t51 (= (tptp.subset @t125 @t45) (and @t523 @t300)))) % 34.39/35.80 (assume @p635 (forall @t15 (=> @t150 (=> (and @t517 (tptp.subset @t1 @t266)) @t731)))) % 34.39/35.80 (assume @p636 (forall @t15 (= @t744 @t127))) % 34.39/35.80 (assume @p637 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.39/35.80 (assume @p638 (forall @t6 (and @t447 (= (tptp.bottom_of_semilattstr @t236) tptp.empty_set)))) % 34.39/35.80 (assume @p639 (forall @t51 (not (and @t14 @t300 @t144)))) % 34.39/35.80 (assume @p640 (forall @t15 (= @t524 @t152))) % 34.39/35.80 (assume @p641 (forall @t6 (tptp.transitive @t267))) % 34.39/35.80 (assume @p642 (forall @t15 (and (not (and @t746 (forall @t109 (not @t745)))) (not (and (exists @t109 @t745) @t338))))) % 34.39/35.80 (assume @p643 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t231))) % 34.39/35.80 (assume @p644 (forall @t15 (= (tptp.set_difference @t127 @t11) @t319))) % 34.39/35.80 (assume @p645 (forall @t6 (=> @t40 (= @t323 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t652 @t1)))))))) % 34.39/35.80 (assume @p646 (forall @t6 (=> @t40 (and (not (and (not @t323) (forall @t20 (=> @t37 (not @t747))))) (not (and (exists @t20 (and @t37 @t747)) @t323)))))) % 34.39/35.80 (assume @p647 (forall @t6 (=> @t748 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 34.39/35.80 (assume @p648 (forall @t15 (=> @t33 (forall @t109 (=> @t137 (= @t750 (tptp.subset @t11 @t749))))))) % 34.39/35.80 (assume @p649 (forall @t6 (=> @t495 (forall @t20 (=> @t249 (=> @t283 (tptp.closed_subset @t675 @t1))))))) % 34.39/35.80 (assume @p650 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (tptp.subset @t751 @t185)))))) % 34.39/35.80 (assume @p651 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (tptp.subset @t258 @t11)))))) % 34.39/35.80 (assume @p652 (forall @t6 (=> @t748 (forall @t20 (=> @t122 (tptp.related @t1 @t183 @t11)))))) % 34.39/35.80 (assume @p653 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (forall @t109 (=> (tptp.in @t45 @t3) (= @t753 (forall @t157 (=> @t667 (=> @t752 @t253))))))))))) % 34.39/35.80 (assume @p654 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (tptp.subset @t686 @t226)))))) % 34.39/35.80 (assume @p655 (forall @t15 (=> @t152 (= @t11 @t744)))) % 34.39/35.80 (assume @p656 (forall @t224 (=> @t709 (=> @t274 (forall @t175 (= (tptp.in @t164 (tptp.relation_inverse_image @t142 @t45)) (and @t190 (tptp.in (tptp.apply @t142 @t164) @t45)))))))) % 34.39/35.80 (assume @p657 (forall @t6 (=> @t495 (forall @t20 (=> @t205 (exists @t109 (and @t293 (forall @t157 (=> @t667 (= @t186 @t752))) (= @t203 (tptp.meet_of_subsets @t3 @t45))))))))) % 34.39/35.80 (assume @p658 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (=> (tptp.subset @t321 @t225) (= @t751 @t185))))))) % 34.39/35.80 (assume @p659 (forall @t15 (=> @t351 @t669))) % 34.39/35.80 (assume @p660 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (=> (tptp.subset @t185 @t226) (= (tptp.relation_rng @t433) @t321))))))) % 34.39/35.80 (assume @p661 (forall @t15 (=> @t351 (=> @t274 (= (tptp.subset_difference @t1 @t313 @t408) @t671))))) % 34.39/35.80 (assume @p662 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (tptp.subset @t11 @t203)))))) % 34.39/35.80 (assume @p663 (forall @t15 (=> @t351 (=> @t274 (= @t672 (tptp.subset_difference @t1 @t313 @t411)))))) % 34.39/35.80 (assume @p664 (forall @t15 (= (tptp.set_difference @t1 @t319) @t132))) % 34.39/35.80 (assume @p665 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (forall @t109 (=> @t337 (=> @t336 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 34.39/35.80 (assume @p666 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.39/35.80 (assume @p667 (forall @t51 (=> (and @t14 @t754) (tptp.element @t1 @t45)))) % 34.39/35.80 (assume @p668 (forall @t6 (=> @t40 (tptp.connected @t267)))) % 34.39/35.80 (assume @p669 (forall @t15 (and (not (and @t746 (forall @t109 (not @t755)))) (not (and (exists @t109 @t755) @t338))))) % 34.39/35.80 (assume @p670 (forall @t6 (= @t286 (tptp.incl_POSet @t32)))) % 34.39/35.80 (assume @p671 (forall @t6 (=> @t271 (and @t63 @t55 @t54 @t10 (= @t215 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 34.39/35.80 (assume @p672 (forall @t6 (=> @t255 (forall @t20 (=> @t33 (forall @t109 (=> @t385 (=> @t298 (tptp.in @t45 @t325))))))))) % 34.39/35.80 (assume @p673 (forall @t6 (=> @t495 (forall @t20 (=> @t205 @t502))))) % 34.39/35.80 (assume @p674 (forall @t6 (=> @t206 (forall @t20 (=> @t205 (and (=> @t330 @t756) (=> (and @t219 @t756) @t330))))))) % 34.39/35.80 (assume @p675 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (forall @t109 (=> @t337 (=> @t336 (and (=> @t71 @t103) (=> @t73 @t486) (=> @t211 @t729) (=> @t193 @t487) (=> @t285 @t743)))))))))) % 34.39/35.80 (assume @p676 (forall @t6 (=> @t189 (=> @t84 (forall @t20 (=> @t494 (= (= @t11 @t360) (and (= @t225 @t321) (forall @t147 (and (=> @t757 @t320) (=> @t320 @t757))))))))))) % 34.39/35.80 (assume @p677 (forall @t51 (=> @t137 (not (and (tptp.in @t11 @t749) @t300))))) % 34.39/35.80 (assume @p678 (forall @t6 (=> @t72 (forall @t20 (=> @t150 (forall @t109 (=> @t337 (=> (and @t314 @t336) @t517)))))))) % 34.39/35.80 (assume @p679 (forall @t6 (=> @t189 (=> @t84 (and (= @t321 (tptp.relation_dom @t360)) (= @t185 (tptp.relation_rng @t360))))))) % 34.39/35.80 (assume @p680 (forall @t6 (=> @t495 (forall @t20 (=> (tptp.top_str @t11) (forall @t109 (=> @t204 (forall @t157 (=> (tptp.element @t142 (tptp.powerset @t173)) (and (=> (tptp.open_subset @t142 @t11) (= (tptp.interior @t11 @t142) @t142)) (=> (= @t217 @t45) @t259))))))))))) % 34.39/35.80 (assume @p681 (forall @t6 (=> @t72 (=> (forall @t162 @t520) @t231)))) % 34.39/35.80 (assume @p682 (forall @t15 (=> @t494 (=> (and @t101 (tptp.in @t1 @t226)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t758 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t758 @t11) @t1))))))) % 34.39/35.80 (assume @p683 (forall @t6 (=> @t220 (forall @t20 (=> @t205 (forall @t109 (=> @t121 (=> (and @t324 @t250) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 34.39/35.80 (assume @p684 (forall @t51 (not (and @t14 @t754 @t116)))) % 34.39/35.80 (assume @p685 (forall @t15 (=> @t33 (= @t527 (not (= @t11 @t1)))))) % 34.39/35.80 (assume @p686 (forall @t6 (=> @t182 (forall @t20 (=> @t249 (not (and @t294 @t232))))))) % 34.39/35.80 (assume @p687 (forall @t6 (=> @t72 (= @t285 (tptp.is_well_founded_in @t1 @t192))))) % 34.39/35.80 (assume @p688 (forall @t6 (tptp.antisymmetric @t267))) % 34.39/35.80 (assume @p689 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.39/35.80 (assume @p690 (forall @t15 (not (and @t152 @t16)))) % 34.39/35.80 (assume @p691 (forall @t6 (=> @t5 (forall @t20 (=> @t209 (forall @t109 (=> @t121 (forall @t157 (=> @t156 (forall @t175 (=> @t174 (forall @t346 (=> @t760 (=> (and @t221 @t630 @t759) @t341)))))))))))))) % 34.39/35.80 (assume @p692 @t777) % 34.39/35.80 (assume @p693 (forall @t6 (=> @t189 (=> @t84 (tptp.one_to_one @t360))))) % 34.39/35.80 (assume @p694 (forall @t51 (=> (and @t152 @t750) (tptp.disjoint @t1 @t45)))) % 34.39/35.80 (assume @p695 (forall @t6 (=> @t72 (=> (or @t779 @t778) @t231)))) % 34.39/35.80 (assume @p696 (forall @t6 (=> @t72 (= @t779 @t778)))) % 34.39/35.80 (assume @p697 (forall @t15 (= (= (tptp.set_difference @t1 @t521) @t1) @t13))) % 34.39/35.80 (assume @p698 (forall @t15 (=> @t494 (forall @t109 (=> @t337 (= (= @t11 @t525) (and (= @t225 (tptp.set_intersection2 @t316 @t1)) (forall @t157 (=> (tptp.in @t142 @t225) (= (tptp.apply @t11 @t142) @t335)))))))))) % 34.39/35.80 (assume @p699 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t243))) % 34.39/35.80 (assume @p700 (forall @t6 (=> @t30 @t231))) % 34.39/35.80 (assume @p701 (forall @t224 (=> @t709 (=> @t144 (or @t232 (tptp.in @t708 @t683)))))) % 34.39/35.80 (assume @p702 (forall @t6 (=> @t40 (tptp.well_founded_relation @t267)))) % 34.39/35.80 (assume @p703 (forall @t6 (=> @t5 (forall @t20 (=> @t122 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 34.39/35.80 (assume @p704 (forall @t6 (=> @t220 (forall @t20 (=> @t205 (forall @t109 (=> @t121 (= @t753 (forall @t157 (=> (tptp.point_neighbourhood @t142 @t1 @t45) (not (tptp.disjoint @t142 @t11)))))))))))) % 34.39/35.80 (assume @p705 (forall @t15 (=> (tptp.subset @t243 @t521) @t153))) % 34.39/35.80 (assume @p706 (forall @t51 (=> @t337 (=> @t526 @t780)))) % 34.39/35.80 (assume @p707 (forall @t6 (and (= (tptp.relation_dom @t148) @t1) (= (tptp.relation_rng @t148) @t1)))) % 34.39/35.80 (assume @p708 (forall @t51 (=> @t337 (=> @t12 @t780)))) % 34.39/35.80 (assume @p709 (forall @t224 (=> @t597 (= (tptp.in @t326 (tptp.relation_composition (tptp.identity_relation @t45) @t142)) (and @t523 (tptp.in @t326 @t142)))))) % 34.39/35.80 (assume @p710 (forall @t15 (not (and @t14 @t110)))) % 34.39/35.80 (assume @p711 (forall @t6 (=> @t277 (forall @t20 (=> @t122 (forall @t109 (=> @t121 (= @t532 (tptp.related_reflexive @t276 @t296 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 34.39/35.80 (assume @p712 (forall @t15 (and (= (tptp.pair_first @t326) @t1) (= (tptp.pair_second @t326) @t11)))) % 34.39/35.80 (assume @p713 (forall @t15 (not (and @t14 (forall @t109 (not (and @t250 (forall @t157 (not (and @t167 @t186)))))))))) % 34.39/35.80 (assume @p714 (forall @t6 (=> @t40 (tptp.well_ordering @t267)))) % 34.39/35.80 (assume @p715 (forall @t15 (tptp.subset @t1 @t127))) % 34.39/35.80 (assume @p716 (forall @t15 (= @t338 (= @t319 @t1)))) % 34.39/35.80 (assume @p717 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_dom @t676)) (and @t14 @t699))))) % 34.39/35.80 (assume @p718 (forall @t15 (=> @t150 (tptp.subset @t690 @t11)))) % 34.39/35.80 (assume @p719 (forall @t15 (not (and @t30 @t355 @t110)))) % 34.39/35.80 (assume @p720 (forall @t51 (=> @t337 (= @t700 (and @t699 (= @t11 @t705)))))) % 34.39/35.80 (assume @p721 (forall @t6 (=> @t182 (forall @t20 (=> @t181 (forall @t147 (=> @t265 (and (=> @t177 (tptp.is_eventually_in @t1 @t11 @t142)) (=> @t194 (tptp.is_often_in @t1 @t11 @t142)))))))))) % 34.39/35.80 (assume @p722 (forall @t6 (=> @t72 (= (tptp.well_orders @t1 @t192) @t314)))) % 34.39/35.80 (assume @p723 (forall @t51 (=> (and @t152 @t292) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 34.39/35.80 (assume @p724 (forall @t51 (=> @t781 @t153))) % 34.39/35.80 (assume @p725 (forall @t15 (=> @t150 (= (tptp.relation_dom @t690) @t680)))) % 34.39/35.80 (assume @p726 (forall @t6 (=> @t182 (forall @t20 (=> @t122 (= (tptp.apply_as_element @t3 @t3 @t163 @t11) @t11)))))) % 34.39/35.80 (assume @p727 (forall @t15 (=> @t150 (= @t690 (tptp.relation_composition @t148 @t11))))) % 34.39/35.80 (assume @p728 (forall @t15 (=> @t150 (tptp.subset (tptp.relation_rng @t690) @t226)))) % 34.39/35.80 (assume @p729 (forall @t6 (= (tptp.union @t32) @t1))) % 34.39/35.80 (assume @p730 (forall @t224 (=> @t709 (=> @t593 (or (and @t232 @t255) (and @t394 (tptp.quasi_total @t142 @t1 @t45) (tptp.relation_of2_as_subset @t142 @t1 @t45))))))) % 34.39/35.80 (assume @p731 (forall @t6 (exists @t20 (and @t14 @t674 (forall @t109 (not (and @t250 (forall @t157 (not (and @t167 (forall @t175 (=> (tptp.subset @t164 @t45) @t223)))))))) @t673)))) % 34.39/35.80 (assume @p732 (forall @t51 (=> @t781 @t240))) % 34.39/35.80 (step @p733 :rule aci_norm :args ((= @t799 @t797))) % 34.39/35.80 (step @p734 :rule cong :premises (@p733) :args (@t801)) % 34.39/35.80 (step @p735 :rule quant-merge-prenex :args ((= (forall @t6 @t803) @t801))) % 34.39/35.80 (step @p736 :rule alpha_equiv :args (@t804 (@list @t784 @t783 @t782) (@list @t11 @t806 @t805))) % 34.39/35.80 (step @p737 :rule refl :args (@t796)) % 34.39/35.80 (step @p738 :rule nary_cong :premises (@p737 @p736) :args (@t807)) % 34.39/35.80 (step @p739 :rule quant-miniscope-or :args ((= @t803 @t807))) % 34.39/35.80 (step @p740 :rule trans :premises (@p739 @p738)) % 34.39/35.80 (step @p741 :rule symm :premises (@p740)) % 34.39/35.80 (step @p742 :rule cong :premises (@p741) :args ((forall @t6 (or @t796 @t820)))) % 34.39/35.80 (step @p743 :rule trans :premises (@p742 @p735)) % 34.39/35.80 (step @p744 :rule trans :premises (@p743 @p734)) % 34.39/35.80 (step @p745 :rule bool-impl-elim :args (@t5 @t820)) % 34.39/35.80 (step @p746 :rule cong :premises (@p745) :args ((forall @t6 (=> @t5 @t820)))) % 34.39/35.80 (step @p747 :rule trans :premises (@p746 @p744)) % 34.39/35.80 (step @p748 :rule aci_norm :args ((= @t822 @t818))) % 34.39/35.80 (step @p749 :rule cong :premises (@p748) :args (@t823)) % 34.39/35.80 (step @p750 :rule quant-merge-prenex :args ((= (forall @t20 @t825) @t823))) % 34.39/35.80 (step @p751 :rule alpha_equiv :args (@t826 (@list @t806 @t805) (@list @t45 @t827))) % 34.39/35.80 (step @p752 :rule refl :args (@t816)) % 34.39/35.80 (step @p753 :rule refl :args (@t817)) % 34.39/35.80 (step @p754 :rule nary_cong :premises (@p753 @p752 @p751) :args (@t828)) % 34.39/35.80 (step @p755 :rule quant-miniscope-or :args ((= @t825 @t828))) % 34.39/35.80 (step @p756 :rule trans :premises (@p755 @p754)) % 34.39/35.80 (step @p757 :rule symm :premises (@p756)) % 34.39/35.80 (step @p758 :rule cong :premises (@p757) :args ((forall @t20 @t840))) % 34.39/35.80 (step @p759 :rule trans :premises (@p758 @p750)) % 34.39/35.80 (step @p760 :rule trans :premises (@p759 @p749)) % 34.39/35.80 (step @p761 :rule aci_norm :args ((= (or (or @t817 @t816) @t839) @t840))) % 34.39/35.80 (step @p762 :rule refl :args (@t839)) % 34.39/35.80 (step @p763 :rule bool-and-de-morgan :args (@t212 @t209 true)) % 34.39/35.80 (step @p764 :rule nary_cong :premises (@p763 @p762) :args ((or (not @t773) @t839))) % 34.39/35.80 (step @p765 :rule trans :premises (@p764 @p761)) % 34.39/35.80 (step @p766 :rule bool-impl-elim :args (@t773 @t839)) % 34.39/35.80 (step @p767 :rule trans :premises (@p766 @p765)) % 34.39/35.80 (step @p768 :rule cong :premises (@p767) :args ((forall @t20 (=> @t773 @t839)))) % 34.39/35.80 (step @p769 :rule trans :premises (@p768 @p760)) % 34.39/35.80 (step @p770 :rule aci_norm :args ((= @t842 @t837))) % 34.39/35.80 (step @p771 :rule cong :premises (@p770) :args (@t843)) % 34.39/35.80 (step @p772 :rule quant-merge-prenex :args ((= (forall @t109 @t845) @t843))) % 34.39/35.80 (step @p773 :rule alpha_equiv :args (@t846 (@list @t827) (@list @t142))) % 34.39/35.80 (step @p774 :rule refl :args (@t834)) % 34.39/35.80 (step @p775 :rule refl :args (@t835)) % 34.39/35.80 (step @p776 :rule refl :args (@t836)) % 34.39/35.80 (step @p777 :rule nary_cong :premises (@p776 @p775 @p774 @p773) :args (@t847)) % 34.39/35.80 (step @p778 :rule quant-miniscope-or :args ((= @t845 @t847))) % 34.39/35.80 (step @p779 :rule trans :premises (@p778 @p777)) % 34.39/35.80 (step @p780 :rule symm :premises (@p779)) % 34.39/35.80 (step @p781 :rule cong :premises (@p780) :args ((forall @t109 @t855))) % 34.39/35.80 (step @p782 :rule trans :premises (@p781 @p772)) % 34.39/35.80 (step @p783 :rule trans :premises (@p782 @p771)) % 34.39/35.80 (step @p784 :rule aci_norm :args ((= (or @t836 @t856) @t855))) % 34.39/35.80 (step @p785 :rule bool-impl-elim :args (@t121 @t856)) % 34.39/35.80 (step @p786 :rule trans :premises (@p785 @p784)) % 34.39/35.80 (step @p787 :rule cong :premises (@p786) :args ((forall @t109 (=> @t121 @t856)))) % 34.39/35.80 (step @p788 :rule trans :premises (@p787 @p783)) % 34.39/35.80 (step @p789 :rule quant-miniscope-or :args ((= (forall @t157 @t857) @t856))) % 34.39/35.80 (step @p790 :rule aci_norm :args ((= @t858 @t857))) % 34.39/35.80 (step @p791 :rule cong :premises (@p790) :args ((forall @t157 @t858))) % 34.39/35.80 (step @p792 :rule trans :premises (@p791 @p789)) % 34.39/35.80 (step @p793 :rule aci_norm :args ((= (or @t852 @t859) @t858))) % 34.39/35.80 (step @p794 :rule bool-impl-elim :args (@t156 @t859)) % 34.39/35.80 (step @p795 :rule trans :premises (@p794 @p793)) % 34.39/35.80 (step @p796 :rule cong :premises (@p795) :args ((forall @t157 (=> @t156 @t859)))) % 34.39/35.80 (step @p797 :rule trans :premises (@p796 @p792)) % 34.39/35.80 (step @p798 :rule aci_norm :args ((= (or @t851 @t850 @t849 @t860) @t859))) % 34.39/35.80 (step @p799 :rule aci_norm :args ((= (or @t835 false @t834 @t848) @t860))) % 34.39/35.80 (step @p800 :rule refl :args (@t848)) % 34.39/35.80 (step @p801 :rule refl :args (@t834)) % 34.39/35.80 (step @p802 :rule evaluate :args ((not true))) % 34.39/35.80 (step @p803 :rule eq-refl :args (@t45)) % 34.39/35.80 (step @p804 :rule cong :premises (@p803) :args (@t861)) % 34.39/35.80 (step @p805 :rule trans :premises (@p804 @p802)) % 34.39/35.80 (step @p806 :rule refl :args (@t835)) % 34.39/35.80 (step @p807 :rule nary_cong :premises (@p806 @p805 @p801 @p800) :args (@t862)) % 34.39/35.80 (step @p808 :rule trans :premises (@p807 @p799)) % 34.39/35.80 (step @p809 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t222 @t866 @t865 @t864 @t863)) @t862))) % 34.39/35.80 (step @p810 :rule refl :args (@t863)) % 34.39/35.80 (step @p811 :rule refl :args (@t864)) % 34.39/35.80 (step @p812 :rule refl :args (@t865)) % 34.39/35.80 (step @p813 :rule refl :args (@t866)) % 34.39/35.80 (step @p814 :rule eq-symm :args (@t45 @t164)) % 34.39/35.80 (step @p815 :rule cong :premises (@p814) :args (@t865)) % 34.39/35.80 (step @p816 :rule nary_cong :premises (@p815 @p813 @p812 @p811 @p810) :args (@t867)) % 34.39/35.80 (step @p817 :rule aci_norm :args ((= @t868 @t867))) % 34.39/35.80 (step @p818 :rule trans :premises (@p817 @p816)) % 34.39/35.80 (step @p819 :rule cong :premises (@p818) :args (@t869)) % 34.39/35.80 (step @p820 :rule trans :premises (@p819 @p809)) % 34.39/35.80 (step @p821 :rule trans :premises (@p820 @p808)) % 34.39/35.80 (step @p822 :rule refl :args (@t849)) % 34.39/35.80 (step @p823 :rule refl :args (@t850)) % 34.39/35.80 (step @p824 :rule refl :args (@t851)) % 34.39/35.80 (step @p825 :rule nary_cong :premises (@p824 @p823 @p822 @p821) :args (@t870)) % 34.39/35.80 (step @p826 :rule trans :premises (@p825 @p798)) % 34.39/35.80 (step @p827 :rule quant-miniscope-or :args ((= (forall @t175 @t871) @t870))) % 34.39/35.80 (step @p828 :rule aci_norm :args ((= @t872 @t871))) % 34.39/35.80 (step @p829 :rule cong :premises (@p828) :args ((forall @t175 @t872))) % 34.39/35.80 (step @p830 :rule trans :premises (@p829 @p827)) % 34.39/35.80 (step @p831 :rule trans :premises (@p830 @p826)) % 34.39/35.80 (step @p832 :rule aci_norm :args ((= (or @t866 @t873) @t872))) % 34.39/35.80 (step @p833 :rule bool-impl-elim :args (@t174 @t873)) % 34.39/35.80 (step @p834 :rule trans :premises (@p833 @p832)) % 34.39/35.80 (step @p835 :rule cong :premises (@p834) :args ((forall @t175 (=> @t174 @t873)))) % 34.39/35.80 (step @p836 :rule trans :premises (@p835 @p831)) % 34.39/35.80 (step @p837 :rule aci_norm :args ((= (or @t865 @t851 @t864 @t874) @t873))) % 34.39/35.80 (step @p838 :rule aci_norm :args ((= (or @t850 false @t849 @t863) @t874))) % 34.39/35.80 (step @p839 :rule refl :args (@t863)) % 34.39/35.80 (step @p840 :rule eq-refl :args (@t142)) % 34.39/35.80 (step @p841 :rule cong :premises (@p840) :args (@t875)) % 34.39/35.80 (step @p842 :rule trans :premises (@p841 @p802)) % 34.39/35.80 (step @p843 :rule nary_cong :premises (@p823 @p842 @p822 @p839) :args (@t876)) % 34.39/35.80 (step @p844 :rule trans :premises (@p843 @p838)) % 34.39/35.80 (step @p845 :rule quant-var-elim-eq :args ((= (forall @t346 (or @t880 @t879 @t878 @t877 @t759)) @t876))) % 34.39/35.80 (step @p846 :rule refl :args (@t759)) % 34.39/35.80 (step @p847 :rule refl :args (@t877)) % 34.39/35.80 (step @p848 :rule refl :args (@t878)) % 34.39/35.80 (step @p849 :rule refl :args (@t879)) % 34.39/35.80 (step @p850 :rule eq-symm :args (@t142 @t287)) % 34.39/35.80 (step @p851 :rule cong :premises (@p850) :args (@t878)) % 34.39/35.80 (step @p852 :rule nary_cong :premises (@p851 @p849 @p848 @p847 @p846) :args (@t881)) % 34.39/35.80 (step @p853 :rule aci_norm :args ((= @t882 @t881))) % 34.39/35.80 (step @p854 :rule trans :premises (@p853 @p852)) % 34.39/35.80 (step @p855 :rule cong :premises (@p854) :args (@t883)) % 34.39/35.80 (step @p856 :rule trans :premises (@p855 @p845)) % 34.39/35.80 (step @p857 :rule trans :premises (@p856 @p844)) % 34.39/35.80 (step @p858 :rule refl :args (@t864)) % 34.39/35.80 (step @p859 :rule refl :args (@t865)) % 34.39/35.80 (step @p860 :rule nary_cong :premises (@p859 @p824 @p858 @p857) :args (@t884)) % 34.39/35.80 (step @p861 :rule trans :premises (@p860 @p837)) % 34.39/35.80 (step @p862 :rule quant-miniscope-or :args ((= (forall @t346 @t885) @t884))) % 34.39/35.80 (step @p863 :rule aci_norm :args ((= @t886 @t885))) % 34.39/35.80 (step @p864 :rule cong :premises (@p863) :args ((forall @t346 @t886))) % 34.39/35.80 (step @p865 :rule trans :premises (@p864 @p862)) % 34.39/35.80 (step @p866 :rule trans :premises (@p865 @p861)) % 34.39/35.80 (step @p867 :rule aci_norm :args ((= (or @t879 @t887) @t886))) % 34.39/35.80 (step @p868 :rule aci_norm :args ((= (or @t888 @t759) @t887))) % 34.39/35.80 (step @p869 :rule aci_norm :args ((= (or @t865 (or @t878 (or @t851 (or @t864 @t877)))) @t888))) % 34.39/35.80 (step @p870 :rule bool-and-de-morgan :args (@t762 @t761 true)) % 34.39/35.80 (step @p871 :rule refl :args (@t851)) % 34.39/35.80 (step @p872 :rule nary_cong :premises (@p871 @p870) :args ((or @t851 (not (and @t762 @t761))))) % 34.39/35.80 (step @p873 :rule bool-and-de-morgan :args (@t341 @t762 (and @t761))) % 34.39/35.80 (step @p874 :rule trans :premises (@p873 @p872)) % 34.39/35.80 (step @p875 :rule nary_cong :premises (@p848 @p874) :args ((or @t878 (not (and @t341 @t762 @t761))))) % 34.39/35.80 (step @p876 :rule bool-and-de-morgan :args (@t606 @t341 (and @t762 @t761))) % 34.39/35.80 (step @p877 :rule trans :premises (@p876 @p875)) % 34.39/35.80 (step @p878 :rule nary_cong :premises (@p812 @p877) :args ((or @t865 (not (and @t606 @t341 @t762 @t761))))) % 34.39/35.80 (step @p879 :rule bool-and-de-morgan :args (@t623 @t606 (and @t341 @t762 @t761))) % 34.39/35.80 (step @p880 :rule trans :premises (@p879 @p878)) % 34.39/35.80 (step @p881 :rule trans :premises (@p880 @p869)) % 34.39/35.80 (step @p882 :rule nary_cong :premises (@p881 @p846) :args ((or (not @t889) @t759))) % 34.39/35.80 (step @p883 :rule trans :premises (@p882 @p868)) % 34.39/35.80 (step @p884 :rule bool-impl-elim :args (@t889 @t759)) % 34.39/35.80 (step @p885 :rule trans :premises (@p884 @p883)) % 34.39/35.80 (step @p886 :rule nary_cong :premises (@p849 @p885) :args ((or @t879 @t890))) % 34.39/35.80 (step @p887 :rule trans :premises (@p886 @p867)) % 34.39/35.80 (step @p888 :rule bool-impl-elim :args (@t760 @t890)) % 34.39/35.80 (step @p889 :rule trans :premises (@p888 @p887)) % 34.39/35.80 (step @p890 :rule cong :premises (@p889) :args ((forall @t346 (=> @t760 @t890)))) % 34.39/35.80 (step @p891 :rule trans :premises (@p890 @p866)) % 34.39/35.80 (step @p892 :rule refl :args (@t759)) % 34.39/35.80 (step @p893 :rule refl :args (@t761)) % 34.39/35.80 (step @p894 :rule refl :args (@t762)) % 34.39/35.80 (step @p895 :rule refl :args (@t341)) % 34.39/35.80 (step @p896 :rule eq-symm :args (@t287 @t142)) % 34.39/35.80 (step @p897 :rule eq-symm :args (@t164 @t45)) % 34.39/35.80 (step @p898 :rule nary_cong :premises (@p897 @p896 @p895 @p894 @p893) :args (@t763)) % 34.39/35.80 (step @p899 :rule cong :premises (@p898 @p892) :args (@t764)) % 34.39/35.80 (step @p900 :rule refl :args (@t760)) % 34.39/35.80 (step @p901 :rule cong :premises (@p900 @p899) :args (@t765)) % 34.39/35.80 (step @p902 :rule cong :premises (@p901) :args (@t766)) % 34.39/35.80 (step @p903 :rule trans :premises (@p902 @p891)) % 34.39/35.80 (step @p904 :rule refl :args (@t174)) % 34.39/35.80 (step @p905 :rule cong :premises (@p904 @p903) :args (@t767)) % 34.39/35.80 (step @p906 :rule cong :premises (@p905) :args (@t768)) % 34.39/35.80 (step @p907 :rule trans :premises (@p906 @p836)) % 34.39/35.80 (step @p908 :rule refl :args (@t156)) % 34.39/35.80 (step @p909 :rule cong :premises (@p908 @p907) :args (@t769)) % 34.39/35.80 (step @p910 :rule cong :premises (@p909) :args (@t770)) % 34.39/35.80 (step @p911 :rule trans 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chain_m_resolution :premises (@p1301 @p1163) :args (@t1060 @t1073 @t1074)) % 34.39/35.80 (step @p1303 :rule cnf_or_pos :args (@t1127)) % 34.39/35.80 (step @p1304 :rule reordering :premises (@p1303) :args ((or @t1061 @t1119 @t1126 (not @t1127)))) % 34.39/35.80 (step @p1305 :rule chain_m_resolution :premises (@p1304 @p1302 @p1286 @p1296) :args (@t1126 @t1125 (@list @t1060 @t1119 @t1127))) % 34.39/35.80 (step @p1306 :rule instantiate :premises (@p1243) :args ((@list @t943 @t942))) % 34.39/35.80 (step @p1307 :rule cnf_or_pos :args (@t1129)) % 34.39/35.80 (step @p1308 :rule reordering :premises (@p1307) :args ((or @t1071 @t1069 @t1128 (not @t1129)))) % 34.39/35.80 (step @p1309 :rule chain_m_resolution :premises (@p1308 @p1182 @p1176 @p1306) :args (@t1128 @t1115 (@list @t1070 @t1068 @t1129))) % 34.39/35.80 (step @p1310 :rule cnf_or_neg :args (@t1072 11)) % 34.39/35.80 (step @p1311 :rule chain_m_resolution :premises (@p1310 @p1163) :args ((not @t1051) @t1073 @t1074)) % 34.39/35.80 (step @p1312 :rule bool-double-not-elim :args (@t1055)) % 34.39/35.80 (step @p1313 :rule nary_cong :premises (@p1165 @p1312) :args ((or @t1072 (not @t1056)))) % 34.39/35.80 (step @p1314 :rule cnf_or_neg :args (@t1072 9)) % 34.39/35.80 (step @p1315 :rule eq_resolve :premises (@p1314 @p1313)) % 34.39/35.80 (step @p1316 :rule reordering :premises (@p1315) :args ((or @t1055 @t1072))) % 34.39/35.80 (step @p1317 :rule chain_m_resolution :premises (@p1316 @p1163) :args (@t1055 @t1073 @t1074)) % 34.39/35.80 (step @p1318 :rule bool-double-not-elim :args (@t1058)) % 34.39/35.80 (step @p1319 :rule nary_cong :premises (@p1165 @p1318) :args ((or @t1072 (not @t1059)))) % 34.39/35.80 (step @p1320 :rule cnf_or_neg :args (@t1072 8)) % 34.39/35.80 (step @p1321 :rule eq_resolve :premises (@p1320 @p1319)) % 34.39/35.80 (step @p1322 :rule reordering :premises (@p1321) :args ((or @t1058 @t1072))) % 34.39/35.80 (step @p1323 :rule chain_m_resolution :premises (@p1322 @p1163) :args (@t1058 @t1073 @t1074)) % 34.39/35.80 (step @p1324 :rule bool-double-not-elim :args (@t1062)) % 34.39/35.80 (step @p1325 :rule nary_cong :premises (@p1165 @p1324) :args ((or @t1072 (not @t1063)))) % 34.39/35.80 (step @p1326 :rule cnf_or_neg :args (@t1072 6)) % 34.39/35.80 (step @p1327 :rule eq_resolve :premises (@p1326 @p1325)) % 34.39/35.80 (step @p1328 :rule reordering :premises (@p1327) :args ((or @t1062 @t1072))) % 34.39/35.80 (step @p1329 :rule chain_m_resolution :premises (@p1328 @p1163) :args (@t1062 @t1073 @t1074)) % 34.39/35.80 (step @p1330 :rule cnf_or_pos :args (@t1135)) % 34.39/35.80 (step @p1331 :rule reordering :premises (@p1330) :args ((or @t1063 @t1061 @t1059 @t1056 @t1054 @t1051 @t1134 @t1131 @t1130 @t1132 @t1133 @t1136))) % 34.39/35.80 (step @p1332 :rule chain_m_resolution :premises (@p1331 @p1329 @p1302 @p1323 @p1317 @p1292 @p1311 @p1309 @p1305 @p1295 @p1200 @p1197) :args (@t1136 (@list false false false false false true false false false false false) (@list @t1062 @t1060 @t1058 @t1055 @t1053 @t1051 @t1128 @t1126 @t1123 @t1075 @t1076))) % 34.39/35.80 (assume-push @p1339 @t1137) % 34.39/35.80 (step @p1334 :rule instantiate :premises (@p924) :args ((@list @t942 @t941 @t1050 @t1049))) % 34.39/35.80 (step-pop @p1340 :rule scope :premises (@p1334)) % 34.39/35.80 (step @p1335 :rule process_scope :premises (@p1340) :args (@t1135)) % 34.39/35.80 (step @p1337 :rule implies_elim :premises (@p1335)) % 34.39/35.80 (step @p1338 false :rule chain_m_resolution :premises (@p1337 @p1332 @p924) :args (false (@list true false) (@list @t1135 @t1137))) % 34.39/35.80 ) % 34.39/35.80 % SZS output end Proof % 34.39/35.80 % cvc5 exiting %------------------------------------------------------------------------------