%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU373+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 5.85s 6.12s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU373+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n010.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:02:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.43/0.69 %----Proving TF0_NAR, FOF, or CNF % 5.85/6.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.85/6.12 % SZS status Theorem % 5.85/6.12 % SZS output start Proof % 5.85/6.12 ( % 5.85/6.12 (declare-sort $$unsorted 0) % 5.85/6.12 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.finite (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.lattice (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.empty_set $$unsorted) % 5.85/6.12 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.connected (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.omega $$unsorted) % 5.85/6.12 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.transitive (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.natural (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.empty (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.function (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.centered (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.top_str (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 5.85/6.12 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.85/6.12 (define @t1 () (@var "A" $$unsorted)) % 5.85/6.12 (define @t2 () (tptp.the_InternalRel @t1)) % 5.85/6.12 (define @t3 () (tptp.the_carrier @t1)) % 5.85/6.12 (define @t4 () (tptp.strict_rel_str @t1)) % 5.85/6.12 (define @t5 () (tptp.rel_str @t1)) % 5.85/6.12 (define @t6 () (@list @t1)) % 5.85/6.12 (define @t7 () (tptp.the_L_meet @t1)) % 5.85/6.12 (define @t8 () (tptp.the_L_join @t1)) % 5.85/6.12 (define @t9 () (tptp.strict_latt_str @t1)) % 5.85/6.12 (define @t10 () (tptp.latt_str @t1)) % 5.85/6.12 (define @t11 () (@var "B" $$unsorted)) % 5.85/6.12 (define @t12 () (tptp.in @t11 @t1)) % 5.85/6.12 (define @t13 () (not @t12)) % 5.85/6.12 (define @t14 () (tptp.in @t1 @t11)) % 5.85/6.12 (define @t15 () (@list @t1 @t11)) % 5.85/6.12 (define @t16 () (tptp.proper_subset @t11 @t1)) % 5.85/6.12 (define @t17 () (tptp.proper_subset @t1 @t11)) % 5.85/6.12 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 5.85/6.12 (define @t19 () (tptp.element @t11 @t1)) % 5.85/6.12 (define @t20 () (@list @t11)) % 5.85/6.12 (define @t21 () (tptp.v1_membered @t1)) % 5.85/6.12 (define @t22 () (tptp.v1_xreal_0 @t11)) % 5.85/6.12 (define @t23 () (tptp.v2_membered @t1)) % 5.85/6.12 (define @t24 () (tptp.v1_rat_1 @t11)) % 5.85/6.12 (define @t25 () (tptp.v3_membered @t1)) % 5.85/6.12 (define @t26 () (tptp.v1_int_1 @t11)) % 5.85/6.12 (define @t27 () (tptp.v4_membered @t1)) % 5.85/6.12 (define @t28 () (tptp.natural @t11)) % 5.85/6.12 (define @t29 () (tptp.v5_membered @t1)) % 5.85/6.12 (define @t30 () (tptp.empty @t1)) % 5.85/6.12 (define @t31 () (tptp.v1_membered @t11)) % 5.85/6.12 (define @t32 () (tptp.powerset @t1)) % 5.85/6.12 (define @t33 () (tptp.element @t11 @t32)) % 5.85/6.12 (define @t34 () (tptp.v2_membered @t11)) % 5.85/6.12 (define @t35 () (tptp.v3_membered @t11)) % 5.85/6.12 (define @t36 () (tptp.v4_membered @t11)) % 5.85/6.12 (define @t37 () (tptp.ordinal @t11)) % 5.85/6.12 (define @t38 () (tptp.epsilon_connected @t11)) % 5.85/6.12 (define @t39 () (tptp.epsilon_transitive @t11)) % 5.85/6.12 (define @t40 () (tptp.ordinal @t1)) % 5.85/6.12 (define @t41 () (tptp.finite @t1)) % 5.85/6.12 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 5.85/6.12 (define @t43 () (tptp.preboolean @t1)) % 5.85/6.12 (define @t44 () (tptp.function @t1)) % 5.85/6.12 (define @t45 () (@var "C" $$unsorted)) % 5.85/6.12 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 5.85/6.12 (define @t47 () (tptp.function @t45)) % 5.85/6.12 (define @t48 () (and @t47 @t46)) % 5.85/6.12 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 5.85/6.12 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 5.85/6.12 (define @t51 () (@list @t1 @t11 @t45)) % 5.85/6.12 (define @t52 () (tptp.bounded_lattstr @t1)) % 5.85/6.12 (define @t53 () (tptp.upper_bounded_semilattstr @t1)) % 5.85/6.12 (define @t54 () (tptp.lower_bounded_semilattstr @t1)) % 5.85/6.12 (define @t55 () (tptp.lattice @t1)) % 5.85/6.12 (define @t56 () (tptp.join_absorbing @t1)) % 5.85/6.12 (define @t57 () (tptp.meet_absorbing @t1)) % 5.85/6.12 (define @t58 () (tptp.meet_associative @t1)) % 5.85/6.12 (define @t59 () (tptp.meet_commutative @t1)) % 5.85/6.12 (define @t60 () (tptp.join_associative @t1)) % 5.85/6.12 (define @t61 () (tptp.join_commutative @t1)) % 5.85/6.12 (define @t62 () (tptp.empty_carrier @t1)) % 5.85/6.12 (define @t63 () (not @t62)) % 5.85/6.12 (define @t64 () (tptp.complete_latt_str @t1)) % 5.85/6.12 (define @t65 () (tptp.with_suprema_relstr @t1)) % 5.85/6.12 (define @t66 () (and @t63 @t61 @t60 @t59 @t58 @t57 @t56)) % 5.85/6.12 (define @t67 () (and @t63 @t55)) % 5.85/6.12 (define @t68 () (tptp.epsilon_connected @t1)) % 5.85/6.12 (define @t69 () (tptp.epsilon_transitive @t1)) % 5.85/6.12 (define @t70 () (and @t69 @t68)) % 5.85/6.12 (define @t71 () (tptp.reflexive @t1)) % 5.85/6.12 (define @t72 () (tptp.relation @t1)) % 5.85/6.12 (define @t73 () (tptp.transitive @t1)) % 5.85/6.12 (define @t74 () (tptp.relation @t45)) % 5.85/6.12 (define @t75 () (tptp.cartesian_product2 @t1 @t11)) % 5.85/6.12 (define @t76 () (tptp.element @t45 (tptp.powerset @t75))) % 5.85/6.12 (define @t77 () (tptp.with_infima_relstr @t1)) % 5.85/6.12 (define @t78 () (tptp.complete_relstr @t1)) % 5.85/6.12 (define @t79 () (and @t63 @t78)) % 5.85/6.12 (define @t80 () (tptp.natural @t1)) % 5.85/6.12 (define @t81 () (and @t69 @t68 @t40 @t80)) % 5.85/6.12 (define @t82 () (tptp.finite @t11)) % 5.85/6.12 (define @t83 () (tptp.one_to_one @t1)) % 5.85/6.12 (define @t84 () (and @t72 @t44 @t83)) % 5.85/6.12 (define @t85 () (and @t72 @t30 @t44)) % 5.85/6.12 (define @t86 () (tptp.one_to_one @t45)) % 5.85/6.12 (define @t87 () (and @t47 @t86 @t46 (tptp.onto @t45 @t1 @t11))) % 5.85/6.12 (define @t88 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 5.85/6.12 (define @t89 () (tptp.antisymmetric_relstr @t1)) % 5.85/6.12 (define @t90 () (tptp.transitive_relstr @t1)) % 5.85/6.12 (define @t91 () (tptp.reflexive_relstr @t1)) % 5.85/6.12 (define @t92 () (tptp.trivial_carrier @t1)) % 5.85/6.12 (define @t93 () (and @t63 @t52)) % 5.85/6.12 (define @t94 () (and @t63 @t54 @t53)) % 5.85/6.12 (define @t95 () (and @t69 @t68 @t40)) % 5.85/6.12 (define @t96 () (tptp.bounded_relstr @t1)) % 5.85/6.12 (define @t97 () (tptp.bijective @t11 @t1 @t1)) % 5.85/6.12 (define @t98 () (tptp.onto @t11 @t1 @t1)) % 5.85/6.12 (define @t99 () (tptp.quasi_total @t11 @t1 @t1)) % 5.85/6.12 (define @t100 () (tptp.one_to_one @t11)) % 5.85/6.12 (define @t101 () (tptp.function @t11)) % 5.85/6.12 (define @t102 () (tptp.reflexive @t11)) % 5.85/6.12 (define @t103 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 5.85/6.12 (define @t104 () (tptp.relation_of2 @t11 @t1 @t1)) % 5.85/6.12 (define @t105 () (tptp.upper_bounded_relstr @t1)) % 5.85/6.12 (define @t106 () (tptp.lower_bounded_relstr @t1)) % 5.85/6.12 (define @t107 () (and @t106 @t105)) % 5.85/6.12 (define @t108 () (@list @t45)) % 5.85/6.12 (define @t109 () (tptp.empty @t11)) % 5.85/6.12 (define @t110 () (not @t109)) % 5.85/6.12 (define @t111 () (tptp.complemented_lattstr @t1)) % 5.85/6.12 (define @t112 () (tptp.distributive_lattstr @t1)) % 5.85/6.12 (define @t113 () (tptp.boolean_lattstr @t1)) % 5.85/6.12 (define @t114 () (and @t63 @t113)) % 5.85/6.12 (define @t115 () (tptp.empty @t45)) % 5.85/6.12 (define @t116 () (not @t30)) % 5.85/6.12 (define @t117 () (and @t116 @t110)) % 5.85/6.12 (define @t118 () (tptp.modular_lattstr @t1)) % 5.85/6.12 (define @t119 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t45)) % 5.85/6.12 (define @t120 () (tptp.element @t45 @t3)) % 5.85/6.12 (define @t121 () (tptp.element @t11 @t3)) % 5.85/6.12 (define @t122 () (tptp.one_sorted_str @t1)) % 5.85/6.12 (define @t123 () (and @t63 @t122 @t121 @t120)) % 5.85/6.12 (define @t124 () (tptp.unordered_pair @t1 @t11)) % 5.85/6.12 (define @t125 () (tptp.set_union2 @t11 @t1)) % 5.85/6.12 (define @t126 () (tptp.set_union2 @t1 @t11)) % 5.85/6.12 (define @t127 () (tptp.join_commut @t1 @t11 @t45)) % 5.85/6.12 (define @t128 () (tptp.join_semilatt_str @t1)) % 5.85/6.12 (define @t129 () (and @t63 @t61 @t128 @t121 @t120)) % 5.85/6.12 (define @t130 () (tptp.set_intersection2 @t11 @t1)) % 5.85/6.12 (define @t131 () (tptp.set_intersection2 @t1 @t11)) % 5.85/6.12 (define @t132 () (tptp.meet_commut @t1 @t11 @t45)) % 5.85/6.12 (define @t133 () (tptp.meet_semilatt_str @t1)) % 5.85/6.12 (define @t134 () (and @t63 @t59 @t133 @t121 @t120)) % 5.85/6.12 (define @t135 () (tptp.subset_union2 @t1 @t11 @t45)) % 5.85/6.12 (define @t136 () (tptp.element @t45 @t32)) % 5.85/6.12 (define @t137 () (and @t33 @t136)) % 5.85/6.12 (define @t138 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 5.85/6.12 (define @t139 () (tptp.ordinal_subset @t1 @t11)) % 5.85/6.12 (define @t140 () (and @t40 @t37)) % 5.85/6.12 (define @t141 () (@var "D" $$unsorted)) % 5.85/6.12 (define @t142 () (= @t45 @t141)) % 5.85/6.12 (define @t143 () (tptp.in @t45 @t1)) % 5.85/6.12 (define @t144 () (tptp.ordered_pair @t45 @t141)) % 5.85/6.12 (define @t145 () (tptp.in @t144 @t11)) % 5.85/6.12 (define @t146 () (@list @t45 @t141)) % 5.85/6.12 (define @t147 () (tptp.identity_relation @t1)) % 5.85/6.12 (define @t148 () (= @t11 @t147)) % 5.85/6.12 (define @t149 () (tptp.relation @t11)) % 5.85/6.12 (define @t150 () (tptp.subset @t11 @t1)) % 5.85/6.12 (define @t151 () (tptp.subset @t1 @t11)) % 5.85/6.12 (define @t152 () (= @t1 @t11)) % 5.85/6.12 (define @t153 () (tptp.related @t1 @t141 @t45)) % 5.85/6.12 (define @t154 () (tptp.relstr_element_smaller @t1 @t11 @t141)) % 5.85/6.12 (define @t155 () (tptp.element @t141 @t3)) % 5.85/6.12 (define @t156 () (@list @t141)) % 5.85/6.12 (define @t157 () (forall @t156 (=> @t155 (=> @t154 @t153)))) % 5.85/6.12 (define @t158 () (tptp.relstr_element_smaller @t1 @t11 @t45)) % 5.85/6.12 (define @t159 () (tptp.meet_on_relstr @t1 @t11)) % 5.85/6.12 (define @t160 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 5.85/6.12 (define @t161 () (@list @t11 @t45)) % 5.85/6.12 (define @t162 () (tptp.identity_on_carrier @t1)) % 5.85/6.12 (define @t163 () (@var "E" $$unsorted)) % 5.85/6.12 (define @t164 () (tptp.ordered_pair @t141 @t163)) % 5.85/6.12 (define @t165 () (tptp.in @t164 @t1)) % 5.85/6.12 (define @t166 () (tptp.in @t141 @t11)) % 5.85/6.12 (define @t167 () (tptp.in @t164 @t45)) % 5.85/6.12 (define @t168 () (@list @t141 @t163)) % 5.85/6.12 (define @t169 () (tptp.relation_dom_restriction @t1 @t11)) % 5.85/6.12 (define @t170 () (tptp.in (tptp.apply_netmap @t1 @t11 @t163) @t45)) % 5.85/6.12 (define @t171 () (tptp.related @t11 @t141 @t163)) % 5.85/6.12 (define @t172 () (tptp.the_carrier @t11)) % 5.85/6.12 (define @t173 () (tptp.element @t163 @t172)) % 5.85/6.12 (define @t174 () (@list @t163)) % 5.85/6.12 (define @t175 () (tptp.element @t141 @t172)) % 5.85/6.12 (define @t176 () (tptp.is_eventually_in @t1 @t11 @t45)) % 5.85/6.12 (define @t177 () (tptp.net_str @t11 @t1)) % 5.85/6.12 (define @t178 () (not (tptp.empty_carrier @t11))) % 5.85/6.12 (define @t179 () (and @t178 @t177)) % 5.85/6.12 (define @t180 () (and @t63 @t122)) % 5.85/6.12 (define @t181 () (tptp.bottom_of_relstr @t1)) % 5.85/6.12 (define @t182 () (tptp.in @t163 @t11)) % 5.85/6.12 (define @t183 () (tptp.relation_dom @t1)) % 5.85/6.12 (define @t184 () (tptp.in @t141 @t45)) % 5.85/6.12 (define @t185 () (tptp.relation_image @t1 @t11)) % 5.85/6.12 (define @t186 () (= @t45 @t185)) % 5.85/6.12 (define @t187 () (and @t72 @t44)) % 5.85/6.12 (define @t188 () (tptp.in @t163 @t1)) % 5.85/6.12 (define @t189 () (tptp.relation_rng_restriction @t1 @t11)) % 5.85/6.12 (define @t190 () (tptp.relation_field @t1)) % 5.85/6.12 (define @t191 () (tptp.antisymmetric @t1)) % 5.85/6.12 (define @t192 () (tptp.is_often_in @t1 @t11 @t45)) % 5.85/6.12 (define @t193 () (tptp.apply @t1 @t141)) % 5.85/6.12 (define @t194 () (tptp.in @t141 @t183)) % 5.85/6.12 (define @t195 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 5.85/6.12 (define @t196 () (tptp.meet @t1 @t11 @t45)) % 5.85/6.12 (define @t197 () (forall @t108 (=> @t120 (and (= @t196 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 5.85/6.12 (define @t198 () (and @t63 @t133)) % 5.85/6.12 (define @t199 () (tptp.powerset @t3)) % 5.85/6.12 (define @t200 () (tptp.element @t163 @t199)) % 5.85/6.12 (define @t201 () (tptp.topstr_closure @t1 @t11)) % 5.85/6.12 (define @t202 () (tptp.element @t45 @t199)) % 5.85/6.12 (define @t203 () (tptp.element @t11 @t199)) % 5.85/6.12 (define @t204 () (tptp.top_str @t1)) % 5.85/6.12 (define @t205 () (tptp.ordered_pair @t163 @t141)) % 5.85/6.12 (define @t206 () (tptp.the_InternalRel @t11)) % 5.85/6.12 (define @t207 () (tptp.subrelstr @t11 @t1)) % 5.85/6.12 (define @t208 () (= @t207 (and (tptp.subset @t172 @t3) (tptp.subset @t206 @t2)))) % 5.85/6.12 (define @t209 () (tptp.rel_str @t11)) % 5.85/6.12 (define @t210 () (forall @t20 (=> @t209 @t208))) % 5.85/6.12 (define @t211 () (=> @t5 @t210)) % 5.85/6.12 (define @t212 () (forall @t6 @t211)) % 5.85/6.12 (define @t213 () (tptp.connected @t1)) % 5.85/6.12 (define @t214 () (tptp.full_subrelstr @t11 @t1)) % 5.85/6.12 (define @t215 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 5.85/6.12 (define @t216 () (and @t63 @t10)) % 5.85/6.12 (define @t217 () (tptp.bottom_of_semilattstr @t1)) % 5.85/6.12 (define @t218 () (tptp.ordered_pair @t11 @t45)) % 5.85/6.12 (define @t219 () (tptp.interior @t1 @t45)) % 5.85/6.12 (define @t220 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 5.85/6.12 (define @t221 () (tptp.topological_space @t1)) % 5.85/6.12 (define @t222 () (and @t63 @t221 @t204)) % 5.85/6.12 (define @t223 () (= @t163 @t45)) % 5.85/6.12 (define @t224 () (tptp.in @t163 @t141)) % 5.85/6.12 (define @t225 () (@list @t1 @t11 @t45 @t141)) % 5.85/6.12 (define @t226 () (tptp.relation_dom @t11)) % 5.85/6.12 (define @t227 () (tptp.relation_rng @t11)) % 5.85/6.12 (define @t228 () (tptp.in (tptp.ordered_pair @t11 @t141) @t1)) % 5.85/6.12 (define @t229 () (tptp.in @t218 @t1)) % 5.85/6.12 (define @t230 () (@list @t11 @t45 @t141)) % 5.85/6.12 (define @t231 () (= @t45 tptp.empty_set)) % 5.85/6.12 (define @t232 () (= @t1 tptp.empty_set)) % 5.85/6.12 (define @t233 () (= @t11 tptp.empty_set)) % 5.85/6.12 (define @t234 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 5.85/6.12 (define @t235 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 5.85/6.12 (define @t236 () (tptp.element @t141 @t32)) % 5.85/6.12 (define @t237 () (tptp.boole_lattice @t1)) % 5.85/6.12 (define @t238 () (tptp.latt_str @t11)) % 5.85/6.12 (define @t239 () (tptp.join @t1 @t11 @t45)) % 5.85/6.12 (define @t240 () (and @t63 @t128)) % 5.85/6.12 (define @t241 () (= @t11 @t45)) % 5.85/6.12 (define @t242 () (= @t1 @t144)) % 5.85/6.12 (define @t243 () (exists @t161 (= @t1 @t218))) % 5.85/6.12 (define @t244 () (tptp.singleton @t1)) % 5.85/6.12 (define @t245 () (tptp.succ @t1)) % 5.85/6.12 (define @t246 () (tptp.the_topology @t1)) % 5.85/6.12 (define @t247 () (tptp.in @t11 @t246)) % 5.85/6.12 (define @t248 () (tptp.union_of_subsets @t3 @t11)) % 5.85/6.12 (define @t249 () (tptp.powerset @t199)) % 5.85/6.12 (define @t250 () (tptp.element @t11 @t249)) % 5.85/6.12 (define @t251 () (tptp.in @t45 @t11)) % 5.85/6.12 (define @t252 () (tptp.is_reflexive_in @t1 @t11)) % 5.85/6.12 (define @t253 () (= @t11 (tptp.set_meet @t1))) % 5.85/6.12 (define @t254 () (tptp.in @t45 @t141)) % 5.85/6.12 (define @t255 () (tptp.in @t141 @t1)) % 5.85/6.12 (define @t256 () (not @t232)) % 5.85/6.12 (define @t257 () (tptp.empty @t3)) % 5.85/6.12 (define @t258 () (tptp.subset_complement @t3 @t11)) % 5.85/6.12 (define @t259 () (tptp.interior @t1 @t11)) % 5.85/6.12 (define @t260 () (tptp.open_subset @t45 @t1)) % 5.85/6.12 (define @t261 () (tptp.open_subsets @t11 @t1)) % 5.85/6.12 (define @t262 () (tptp.related @t1 @t141 @t163)) % 5.85/6.12 (define @t263 () (tptp.element @t163 @t3)) % 5.85/6.12 (define @t264 () (tptp.directed_subset @t11 @t1)) % 5.85/6.12 (define @t265 () (= @t141 @t11)) % 5.85/6.12 (define @t266 () (tptp.subset @t45 @t141)) % 5.85/6.12 (define @t267 () (tptp.relation_field @t11)) % 5.85/6.12 (define @t268 () (tptp.inclusion_relation @t1)) % 5.85/6.12 (define @t269 () (tptp.inclusion_order @t1)) % 5.85/6.12 (define @t270 () (tptp.incl_POSet @t1)) % 5.85/6.12 (define @t271 () (tptp.join_of_latt_set @t1 @t11)) % 5.85/6.12 (define @t272 () (and @t63 @t55 @t64 @t10)) % 5.85/6.12 (define @t273 () (tptp.meet_of_latt_set @t1 @t11)) % 5.85/6.12 (define @t274 () (tptp.set_meet @t11)) % 5.85/6.12 (define @t275 () (not @t233)) % 5.85/6.12 (define @t276 () (tptp.k2_lattice3 @t1)) % 5.85/6.12 (define @t277 () (tptp.poset_of_lattice @t1)) % 5.85/6.12 (define @t278 () (and @t63 @t55 @t10)) % 5.85/6.12 (define @t279 () (= @t11 @t141)) % 5.85/6.12 (define @t280 () (tptp.empty_carrier_subset @t1)) % 5.85/6.12 (define @t281 () (tptp.in @t144 @t1)) % 5.85/6.12 (define @t282 () (tptp.union @t1)) % 5.85/6.12 (define @t283 () (= @t11 @t282)) % 5.85/6.12 (define @t284 () (forall @t108 (=> @t202 (=> @t251 (tptp.closed_subset @t45 @t1))))) % 5.85/6.12 (define @t285 () (tptp.closed_subsets @t11 @t1)) % 5.85/6.12 (define @t286 () (tptp.well_founded_relation @t1)) % 5.85/6.12 (define @t287 () (tptp.boole_POSet @t1)) % 5.85/6.12 (define @t288 () (@var "F" $$unsorted)) % 5.85/6.12 (define @t289 () (tptp.ordered_pair @t163 @t288)) % 5.85/6.12 (define @t290 () (tptp.in @t288 @t11)) % 5.85/6.12 (define @t291 () (@list @t163 @t288)) % 5.85/6.12 (define @t292 () (tptp.finite @t45)) % 5.85/6.12 (define @t293 () (tptp.subset @t45 @t11)) % 5.85/6.12 (define @t294 () (tptp.element @t45 @t249)) % 5.85/6.12 (define @t295 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 5.85/6.12 (define @t296 () (tptp.compact_top_space @t1)) % 5.85/6.12 (define @t297 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 5.85/6.12 (define @t298 () (tptp.below @t1 @t11 @t45)) % 5.85/6.12 (define @t299 () (not @t251)) % 5.85/6.12 (define @t300 () (not @t241)) % 5.85/6.12 (define @t301 () (tptp.in @t11 @t45)) % 5.85/6.12 (define @t302 () (tptp.cast_as_carrier_subset @t1)) % 5.85/6.12 (define @t303 () (forall @t108 (=> @t143 @t251))) % 5.85/6.12 (define @t304 () (not @t231)) % 5.85/6.12 (define @t305 () (tptp.is_well_founded_in @t1 @t11)) % 5.85/6.12 (define @t306 () (tptp.apply @t1 @t11)) % 5.85/6.12 (define @t307 () (= @t45 @t306)) % 5.85/6.12 (define @t308 () (tptp.in @t11 @t183)) % 5.85/6.12 (define @t309 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 5.85/6.12 (define @t310 () (tptp.the_carrier @t277)) % 5.85/6.12 (define @t311 () (tptp.element @t11 @t310)) % 5.85/6.12 (define @t312 () (tptp.in (tptp.ordered_pair @t141 @t45) @t1)) % 5.85/6.12 (define @t313 () (tptp.is_antisymmetric_in @t1 @t11)) % 5.85/6.12 (define @t314 () (tptp.cast_to_subset @t1)) % 5.85/6.12 (define @t315 () (tptp.well_ordering @t1)) % 5.85/6.12 (define @t316 () (tptp.relation_rng @t45)) % 5.85/6.12 (define @t317 () (tptp.relation_dom @t45)) % 5.85/6.12 (define @t318 () (= @t317 @t1)) % 5.85/6.12 (define @t319 () (tptp.equipotent @t1 @t11)) % 5.85/6.12 (define @t320 () (tptp.set_difference @t1 @t11)) % 5.85/6.12 (define @t321 () (and @t194 (= @t45 @t193))) % 5.85/6.12 (define @t322 () (tptp.relation_rng @t1)) % 5.85/6.12 (define @t323 () (= @t11 @t322)) % 5.85/6.12 (define @t324 () (tptp.being_limit_ordinal @t1)) % 5.85/6.12 (define @t325 () (tptp.open_subset @t11 @t1)) % 5.85/6.12 (define @t326 () (tptp.subset_complement @t1 @t11)) % 5.85/6.12 (define @t327 () (tptp.ordered_pair @t1 @t11)) % 5.85/6.12 (define @t328 () (tptp.is_connected_in @t1 @t11)) % 5.85/6.12 (define @t329 () (tptp.is_transitive_in @t1 @t11)) % 5.85/6.12 (define @t330 () (tptp.subset_difference @t3 @t302 @t11)) % 5.85/6.12 (define @t331 () (tptp.closed_subset @t11 @t1)) % 5.85/6.12 (define @t332 () (tptp.cartesian_product2 @t11 @t11)) % 5.85/6.12 (define @t333 () (tptp.relation_restriction @t1 @t11)) % 5.85/6.12 (define @t334 () (tptp.relation_inverse @t1)) % 5.85/6.12 (define @t335 () (tptp.apply @t45 @t163)) % 5.85/6.12 (define @t336 () (tptp.apply @t45 @t141)) % 5.85/6.12 (define @t337 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 5.85/6.12 (define @t338 () (and @t74 @t47)) % 5.85/6.12 (define @t339 () (tptp.disjoint @t1 @t11)) % 5.85/6.12 (define @t340 () (= @t141 @t45)) % 5.85/6.12 (define @t341 () (tptp.relstr_set_smaller @t1 @t11 @t141)) % 5.85/6.12 (define @t342 () (tptp.related @t1 @t45 @t141)) % 5.85/6.12 (define @t343 () (forall @t156 (=> @t155 (=> @t341 @t342)))) % 5.85/6.12 (define @t344 () (tptp.relstr_set_smaller @t1 @t11 @t45)) % 5.85/6.12 (define @t345 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 5.85/6.12 (define @t346 () (tptp.relation_of_lattice @t1)) % 5.85/6.12 (define @t347 () (@list @t288)) % 5.85/6.12 (define @t348 () (tptp.relation_composition @t1 @t11)) % 5.85/6.12 (define @t349 () (@list @t45 @t141 @t163)) % 5.85/6.12 (define @t350 () (tptp.complements_of_subsets @t1 @t11)) % 5.85/6.12 (define @t351 () (tptp.powerset @t32)) % 5.85/6.12 (define @t352 () (tptp.element @t11 @t351)) % 5.85/6.12 (define @t353 () (tptp.the_mapping @t1 @t11)) % 5.85/6.12 (define @t354 () (tptp.apply_netmap @t1 @t11 @t45)) % 5.85/6.12 (define @t355 () (tptp.element @t45 @t172)) % 5.85/6.12 (define @t356 () (not @t152)) % 5.85/6.12 (define @t357 () (tptp.the_carrier @t45)) % 5.85/6.12 (define @t358 () (tptp.subnetstr @t45 @t1 @t11)) % 5.85/6.12 (define @t359 () (= @t358 (and (tptp.subrelstr @t45 @t11) (= (tptp.the_mapping @t1 @t45) (tptp.relation_dom_restr_as_relation_of @t172 @t3 @t353 @t357))))) % 5.85/6.12 (define @t360 () (tptp.net_str @t45 @t1)) % 5.85/6.12 (define @t361 () (forall @t108 (=> @t360 @t359))) % 5.85/6.12 (define @t362 () (=> @t177 @t361)) % 5.85/6.12 (define @t363 () (forall @t20 @t362)) % 5.85/6.12 (define @t364 () (=> @t122 @t363)) % 5.85/6.12 (define @t365 () (forall @t6 @t364)) % 5.85/6.12 (define @t366 () (tptp.function_inverse @t1)) % 5.85/6.12 (define @t367 () (tptp.related @t1 @t11 @t45)) % 5.85/6.12 (define @t368 () (tptp.join_on_relstr @t1 @t11)) % 5.85/6.12 (define @t369 () (tptp.rel_str_of @t1 @t11)) % 5.85/6.12 (define @t370 () (tptp.strict_rel_str @t369)) % 5.85/6.12 (define @t371 () (tptp.latt_str_of @t1 @t11 @t45)) % 5.85/6.12 (define @t372 () (tptp.strict_latt_str @t371)) % 5.85/6.12 (define @t373 () (tptp.cartesian_product2 @t1 @t1)) % 5.85/6.12 (define @t374 () (tptp.relation_of2 @t45 @t373 @t1)) % 5.85/6.12 (define @t375 () (tptp.quasi_total @t45 @t373 @t1)) % 5.85/6.12 (define @t376 () (tptp.relation_of2 @t11 @t373 @t1)) % 5.85/6.12 (define @t377 () (tptp.quasi_total @t11 @t373 @t1)) % 5.85/6.12 (define @t378 () (and @t101 @t377 @t376 @t47 @t375 @t374)) % 5.85/6.12 (define @t379 () (tptp.k8_filter_1 @t1 @t11)) % 5.85/6.12 (define @t380 () (tptp.k10_filter_1 @t1 @t11 @t45 @t141)) % 5.85/6.12 (define @t381 () (tptp.lattice @t11)) % 5.85/6.12 (define @t382 () (and @t63 @t55 @t10 @t178 @t381 @t238 @t120 @t175)) % 5.85/6.12 (define @t383 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t141)) % 5.85/6.12 (define @t384 () (tptp.element @t45 @t1)) % 5.85/6.12 (define @t385 () (and @t116 @t110 @t384 (tptp.element @t141 @t11))) % 5.85/6.12 (define @t386 () (tptp.strict_latt_str @t237)) % 5.85/6.12 (define @t387 () (tptp.k1_pcomps_1 @t1)) % 5.85/6.12 (define @t388 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 5.85/6.12 (define @t389 () (and @t204 @t203)) % 5.85/6.12 (define @t390 () (tptp.apply_on_structs @t1 @t11 @t45 @t141)) % 5.85/6.12 (define @t391 () (and @t63 @t122 @t178 (tptp.one_sorted_str @t11) @t47 (tptp.quasi_total @t45 @t3 @t172) (tptp.relation_of2 @t45 @t3 @t172) @t155)) % 5.85/6.12 (define @t392 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t141 @t163 @t288)) % 5.85/6.12 (define @t393 () (tptp.function @t141)) % 5.85/6.12 (define @t394 () (and @t116 @t110 @t393 (tptp.quasi_total @t141 @t75 @t45) (tptp.relation_of2 @t141 @t75 @t45) (tptp.element @t163 @t1) (tptp.element @t288 @t11))) % 5.85/6.12 (define @t395 () (@list @t1 @t11 @t45 @t141 @t163 @t288)) % 5.85/6.12 (define @t396 () (tptp.strict_rel_str @t270)) % 5.85/6.12 (define @t397 () (tptp.antisymmetric_relstr @t277)) % 5.85/6.12 (define @t398 () (tptp.transitive_relstr @t277)) % 5.85/6.12 (define @t399 () (tptp.reflexive_relstr @t277)) % 5.85/6.12 (define @t400 () (tptp.strict_rel_str @t277)) % 5.85/6.12 (define @t401 () (tptp.strict_rel_str @t287)) % 5.85/6.12 (define @t402 () (tptp.relation @t334)) % 5.85/6.12 (define @t403 () (tptp.relation @t348)) % 5.85/6.12 (define @t404 () (and @t72 @t149)) % 5.85/6.12 (define @t405 () (tptp.powerset @t11)) % 5.85/6.12 (define @t406 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 5.85/6.12 (define @t407 () (tptp.union_of_subsets @t1 @t11)) % 5.85/6.12 (define @t408 () (tptp.identity_as_relation_of @t1)) % 5.85/6.12 (define @t409 () (tptp.relation @t147)) % 5.85/6.12 (define @t410 () (tptp.meet_of_subsets @t1 @t11)) % 5.85/6.12 (define @t411 () (tptp.subset_difference @t1 @t11 @t45)) % 5.85/6.12 (define @t412 () (tptp.relation @t169)) % 5.85/6.12 (define @t413 () (tptp.apply_as_element @t1 @t11 @t45 @t141)) % 5.85/6.12 (define @t414 () (and @t116 @t47 @t46 @t50 (tptp.element @t141 @t1))) % 5.85/6.12 (define @t415 () (tptp.relation @t189)) % 5.85/6.12 (define @t416 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t45 @t141)) % 5.85/6.12 (define @t417 () (forall @t20 (=> @t177 @t209))) % 5.85/6.12 (define @t418 () (=> @t122 @t417)) % 5.85/6.12 (define @t419 () (forall @t6 @t418)) % 5.85/6.12 (define @t420 () (and @t63 @t221 @t204 @t121)) % 5.85/6.12 (define @t421 () (forall @t108 (=> @t358 @t360))) % 5.85/6.12 (define @t422 () (and @t122 @t177)) % 5.85/6.12 (define @t423 () (=> @t422 @t421)) % 5.85/6.12 (define @t424 () (forall @t15 @t423)) % 5.85/6.12 (define @t425 () (tptp.cartesian_product2 @t3 @t3)) % 5.85/6.12 (define @t426 () (tptp.quasi_total @t7 @t425 @t3)) % 5.85/6.12 (define @t427 () (tptp.function @t7)) % 5.85/6.12 (define @t428 () (tptp.quasi_total @t8 @t425 @t3)) % 5.85/6.12 (define @t429 () (tptp.function @t8)) % 5.85/6.12 (define @t430 () (tptp.finite @t131)) % 5.85/6.12 (define @t431 () (tptp.relation_composition @t11 @t1)) % 5.85/6.12 (define @t432 () (and @t30 @t149)) % 5.85/6.12 (define @t433 () (tptp.relation_empty_yielding tptp.empty_set)) % 5.85/6.12 (define @t434 () (tptp.relation tptp.empty_set)) % 5.85/6.12 (define @t435 () (tptp.empty tptp.empty_set)) % 5.85/6.12 (define @t436 () (tptp.relation_empty_yielding @t1)) % 5.85/6.12 (define @t437 () (and @t72 @t436)) % 5.85/6.12 (define @t438 () (and @t41 @t82)) % 5.85/6.12 (define @t439 () (not (tptp.empty @t244))) % 5.85/6.12 (define @t440 () (not (tptp.empty @t32))) % 5.85/6.12 (define @t441 () (tptp.boolean_lattstr @t237)) % 5.85/6.12 (define @t442 () (tptp.complemented_lattstr @t237)) % 5.85/6.12 (define @t443 () (tptp.bounded_lattstr @t237)) % 5.85/6.12 (define @t444 () (tptp.upper_bounded_semilattstr @t237)) % 5.85/6.12 (define @t445 () (tptp.lower_bounded_semilattstr @t237)) % 5.85/6.12 (define @t446 () (tptp.modular_lattstr @t237)) % 5.85/6.12 (define @t447 () (tptp.distributive_lattstr @t237)) % 5.85/6.12 (define @t448 () (tptp.lattice @t237)) % 5.85/6.12 (define @t449 () (tptp.join_absorbing @t237)) % 5.85/6.12 (define @t450 () (tptp.meet_absorbing @t237)) % 5.85/6.12 (define @t451 () (tptp.meet_associative @t237)) % 5.85/6.12 (define @t452 () (tptp.meet_commutative @t237)) % 5.85/6.12 (define @t453 () (tptp.join_associative @t237)) % 5.85/6.12 (define @t454 () (tptp.join_commutative @t237)) % 5.85/6.12 (define @t455 () (not (tptp.empty_carrier @t237))) % 5.85/6.12 (define @t456 () (not (tptp.empty @t245))) % 5.85/6.12 (define @t457 () (tptp.rel_str_of @t244 @t11)) % 5.85/6.12 (define @t458 () (tptp.with_infima_relstr @t277)) % 5.85/6.12 (define @t459 () (tptp.with_suprema_relstr @t277)) % 5.85/6.12 (define @t460 () (not (tptp.empty_carrier @t277))) % 5.85/6.12 (define @t461 () (tptp.v1_membered @t131)) % 5.85/6.12 (define @t462 () (tptp.v1_membered @t130)) % 5.85/6.12 (define @t463 () (tptp.v2_membered @t131)) % 5.85/6.12 (define @t464 () (tptp.ordinal @t245)) % 5.85/6.12 (define @t465 () (tptp.epsilon_connected @t245)) % 5.85/6.12 (define @t466 () (tptp.epsilon_transitive @t245)) % 5.85/6.12 (define @t467 () (not (tptp.empty @t124))) % 5.85/6.12 (define @t468 () (tptp.function @t147)) % 5.85/6.12 (define @t469 () (tptp.v1_partfun1 @t8 @t425 @t3)) % 5.85/6.12 (define @t470 () (tptp.relation @t8)) % 5.85/6.12 (define @t471 () (and @t63 @t61 @t128)) % 5.85/6.12 (define @t472 () (and @t221 @t204 @t203)) % 5.85/6.12 (define @t473 () (tptp.upper_bounded_relstr @t277)) % 5.85/6.12 (define @t474 () (tptp.v2_membered @t130)) % 5.85/6.12 (define @t475 () (tptp.v3_membered @t131)) % 5.85/6.12 (define @t476 () (tptp.v3_membered @t130)) % 5.85/6.12 (define @t477 () (tptp.v4_membered @t131)) % 5.85/6.12 (define @t478 () (tptp.v4_membered @t130)) % 5.85/6.12 (define @t479 () (tptp.v1_membered @t320)) % 5.85/6.12 (define @t480 () (tptp.v2_membered @t320)) % 5.85/6.12 (define @t481 () (tptp.v3_membered @t320)) % 5.85/6.12 (define @t482 () (tptp.transitive @t11)) % 5.85/6.12 (define @t483 () (tptp.antisymmetric @t11)) % 5.85/6.12 (define @t484 () (tptp.open_subset @t258 @t1)) % 5.85/6.12 (define @t485 () (tptp.lower_bounded_relstr @t277)) % 5.85/6.12 (define @t486 () (tptp.v4_membered @t320)) % 5.85/6.12 (define @t487 () (tptp.v1_partfun1 @t7 @t425 @t3)) % 5.85/6.12 (define @t488 () (tptp.relation @t7)) % 5.85/6.12 (define @t489 () (tptp.closed_subset @t258 @t1)) % 5.85/6.12 (define @t490 () (and @t149 @t101)) % 5.85/6.12 (define @t491 () (and @t221 @t204)) % 5.85/6.12 (define @t492 () (tptp.empty @t183)) % 5.85/6.12 (define @t493 () (and @t116 @t72)) % 5.85/6.12 (define @t494 () (tptp.antisymmetric_relstr @t270)) % 5.85/6.12 (define @t495 () (tptp.transitive_relstr @t270)) % 5.85/6.12 (define @t496 () (tptp.reflexive_relstr @t270)) % 5.85/6.12 (define @t497 () (tptp.empty @t322)) % 5.85/6.12 (define @t498 () (tptp.open_subset @t259 @t1)) % 5.85/6.12 (define @t499 () (tptp.antisymmetric_relstr @t287)) % 5.85/6.12 (define @t500 () (tptp.transitive_relstr @t287)) % 5.85/6.12 (define @t501 () (tptp.reflexive_relstr @t287)) % 5.85/6.12 (define @t502 () (not (tptp.empty_carrier @t287))) % 5.85/6.12 (define @t503 () (and @t178 @t381 @t238)) % 5.85/6.12 (define @t504 () (= @t1 @t141)) % 5.85/6.12 (define @t505 () (exists @t156 (and @t175 @t504 (tptp.latt_set_smaller @t11 @t141 @t45)))) % 5.85/6.12 (define @t506 () (= @t1 @t45)) % 5.85/6.12 (define @t507 () (and @t506 @t279)) % 5.85/6.12 (define @t508 () (= @t45 @t288)) % 5.85/6.12 (define @t509 () (@list @t141 @t163 @t288)) % 5.85/6.12 (define @t510 () (tptp.in @t11 @t190)) % 5.85/6.12 (define @t511 () (tptp.disjoint @t244 @t11)) % 5.85/6.12 (define @t512 () (not @t14)) % 5.85/6.12 (define @t513 () (tptp.well_ordering @t11)) % 5.85/6.12 (define @t514 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 5.85/6.12 (define @t515 () (tptp.singleton @t45)) % 5.85/6.12 (define @t516 () (not @t229)) % 5.85/6.12 (define @t517 () (tptp.singleton @t11)) % 5.85/6.12 (define @t518 () (tptp.union @t11)) % 5.85/6.12 (define @t519 () (tptp.in @t1 @t45)) % 5.85/6.12 (define @t520 () (tptp.element @t1 @t405)) % 5.85/6.12 (define @t521 () (tptp.relation_dom_restriction @t45 @t1)) % 5.85/6.12 (define @t522 () (tptp.in @t11 (tptp.relation_dom @t521))) % 5.85/6.12 (define @t523 () (tptp.proper_element @t11 @t32)) % 5.85/6.12 (define @t524 () (tptp.unordered_pair @t11 @t45)) % 5.85/6.12 (define @t525 () (tptp.set_union2 @t11 @t45)) % 5.85/6.12 (define @t526 () (tptp.set_intersection2 @t11 @t45)) % 5.85/6.12 (define @t527 () (tptp.set_difference @t11 @t45)) % 5.85/6.12 (define @t528 () (tptp.below_refl @t1 @t11 @t45)) % 5.85/6.12 (define @t529 () (and @t63 @t59 @t57 @t56 @t10 @t121 @t120)) % 5.85/6.12 (define @t530 () (and @t63 @t91 @t5 @t121 @t120)) % 5.85/6.12 (define @t531 () (@var "K" $$unsorted)) % 5.85/6.12 (define @t532 () (@var "J" $$unsorted)) % 5.85/6.12 (define @t533 () (tptp.in @t531 @t532)) % 5.85/6.12 (define @t534 () (@list @t531)) % 5.85/6.12 (define @t535 () (@list @t532)) % 5.85/6.12 (define @t536 () (= @t141 @t163)) % 5.85/6.12 (define @t537 () (@var "I" $$unsorted)) % 5.85/6.12 (define @t538 () (@var "H" $$unsorted)) % 5.85/6.12 (define @t539 () (tptp.in @t537 @t538)) % 5.85/6.12 (define @t540 () (@list @t537)) % 5.85/6.12 (define @t541 () (@list @t538)) % 5.85/6.12 (define @t542 () (exists @t541 (and (= @t45 @t538) (tptp.in @t163 @t538) (forall @t540 (=> @t539 (tptp.in (tptp.ordered_pair @t163 @t537) @t11)))))) % 5.85/6.12 (define @t543 () (@var "G" $$unsorted)) % 5.85/6.12 (define @t544 () (tptp.in @t543 @t288)) % 5.85/6.12 (define @t545 () (@list @t543)) % 5.85/6.12 (define @t546 () (exists @t347 (and @t508 (tptp.in @t141 @t288) (forall @t545 (=> @t544 (tptp.in (tptp.ordered_pair @t141 @t543) @t11)))))) % 5.85/6.12 (define @t547 () (forall @t349 (=> (and @t143 @t546 @t143 @t542) @t536))) % 5.85/6.13 (define @t548 () (and @t116 @t149)) % 5.85/6.13 (define @t549 () (= @t141 @t517)) % 5.85/6.13 (define @t550 () (= @t45 @t517)) % 5.85/6.13 (define @t551 () (forall @t230 (=> (and @t12 @t550 @t12 @t549) @t142))) % 5.85/6.13 (define @t552 () (tptp.subset_complement @t3 @t538)) % 5.85/6.13 (define @t553 () (= @t538 @t141)) % 5.85/6.13 (define @t554 () (tptp.element @t538 @t199)) % 5.85/6.13 (define @t555 () (forall @t541 (=> @t554 (=> @t553 (= @t163 @t552))))) % 5.85/6.13 (define @t556 () (tptp.complements_of_subsets @t3 @t11)) % 5.85/6.13 (define @t557 () (tptp.in @t141 @t556)) % 5.85/6.13 (define @t558 () (tptp.element @t543 @t199)) % 5.85/6.13 (define @t559 () (forall @t545 (=> @t558 (=> (= @t543 @t45) (= @t163 (tptp.subset_complement @t3 @t543)))))) % 5.85/6.13 (define @t560 () (tptp.in @t45 @t556)) % 5.85/6.13 (define @t561 () (tptp.element @t288 @t199)) % 5.85/6.13 (define @t562 () (forall @t347 (=> @t561 (=> (= @t288 @t45) (= @t141 (tptp.subset_complement @t3 @t288)))))) % 5.85/6.13 (define @t563 () (forall @t349 (=> (and @t560 @t562 @t560 @t559) @t536))) % 5.85/6.13 (define @t564 () (and @t122 @t250)) % 5.85/6.13 (define @t565 () (forall @t349 (=> (and @t251 @t562 @t251 @t559) @t536))) % 5.85/6.13 (define @t566 () (tptp.ordinal @t45)) % 5.85/6.13 (define @t567 () (@var "S" $$unsorted)) % 5.85/6.13 (define @t568 () (@var "T" $$unsorted)) % 5.85/6.13 (define @t569 () (@var "R" $$unsorted)) % 5.85/6.13 (define @t570 () (tptp.powerset (tptp.powerset @t141))) % 5.85/6.13 (define @t571 () (@list @t569)) % 5.85/6.13 (define @t572 () (tptp.in @t141 tptp.omega)) % 5.85/6.13 (define @t573 () (tptp.ordinal @t141)) % 5.85/6.13 (define @t574 () (@var "P" $$unsorted)) % 5.85/6.13 (define @t575 () (@var "Q" $$unsorted)) % 5.85/6.13 (define @t576 () (@var "O" $$unsorted)) % 5.85/6.13 (define @t577 () (@list @t575)) % 5.85/6.13 (define @t578 () (@list @t574)) % 5.85/6.13 (define @t579 () (@list @t576)) % 5.85/6.13 (define @t580 () (@var "M" $$unsorted)) % 5.85/6.13 (define @t581 () (@var "N" $$unsorted)) % 5.85/6.13 (define @t582 () (@var "L" $$unsorted)) % 5.85/6.13 (define @t583 () (@list @t581)) % 5.85/6.13 (define @t584 () (tptp.in @t580 @t582)) % 5.85/6.13 (define @t585 () (@list @t580)) % 5.85/6.13 (define @t586 () (@list @t582)) % 5.85/6.13 (define @t587 () (tptp.succ @t141)) % 5.85/6.13 (define @t588 () (=> @t572 (forall @t174 (=> (tptp.element @t163 @t570) (not (and (not (= @t163 tptp.empty_set)) (forall @t347 (not (and (tptp.in @t288 @t163) (forall @t545 (=> (and (tptp.in @t543 @t163) (tptp.subset @t288 @t543)) (= @t543 @t288)))))))))))) % 5.85/6.13 (define @t589 () (tptp.subset @t11 @t45)) % 5.85/6.13 (define @t590 () (tptp.powerset tptp.empty_set)) % 5.85/6.13 (define @t591 () (tptp.apply @t45 @t288)) % 5.85/6.13 (define @t592 () (tptp.in @t288 @t1)) % 5.85/6.13 (define @t593 () (tptp.relation @t141)) % 5.85/6.13 (define @t594 () (and @t149 @t74 @t47)) % 5.85/6.13 (define @t595 () (forall @t534 (=> @t533 (tptp.in (tptp.ordered_pair @t141 @t531) @t11)))) % 5.85/6.13 (define @t596 () (tptp.in @t141 @t532)) % 5.85/6.13 (define @t597 () (= @t288 @t163)) % 5.85/6.13 (define @t598 () (tptp.cartesian_product2 @t1 @t45)) % 5.85/6.13 (define @t599 () (= @t163 @t288)) % 5.85/6.13 (define @t600 () (tptp.ordered_pair @t531 @t582)) % 5.85/6.13 (define @t601 () (@list @t531 @t582)) % 5.85/6.13 (define @t602 () (= @t141 @t288)) % 5.85/6.13 (define @t603 () (tptp.in @t532 @t537)) % 5.85/6.13 (define @t604 () (tptp.in @t543 @t1)) % 5.85/6.13 (define @t605 () (tptp.ordered_pair @t543 @t538)) % 5.85/6.13 (define @t606 () (= @t605 @t163)) % 5.85/6.13 (define @t607 () (@list @t543 @t538)) % 5.85/6.13 (define @t608 () (tptp.powerset @t45)) % 5.85/6.13 (define @t609 () (tptp.in @t532 @t11)) % 5.85/6.13 (define @t610 () (tptp.in @t538 @t11)) % 5.85/6.13 (define @t611 () (tptp.element @t538 @t3)) % 5.85/6.13 (define @t612 () (= @t543 @t163)) % 5.85/6.13 (define @t613 () (tptp.element @t45 @t405)) % 5.85/6.13 (define @t614 () (and @t63 @t90 @t5 @t203 @t292 @t613)) % 5.85/6.13 (define @t615 () (tptp.ordered_pair @t532 @t531)) % 5.85/6.13 (define @t616 () (@list @t532 @t531)) % 5.85/6.13 (define @t617 () (= @t163 @t141)) % 5.85/6.13 (define @t618 () (tptp.in @t538 @t1)) % 5.85/6.13 (define @t619 () (= @t45 @t163)) % 5.85/6.13 (define @t620 () (tptp.ordered_pair @t288 @t543)) % 5.85/6.13 (define @t621 () (@list @t288 @t543)) % 5.85/6.13 (define @t622 () (not (and (not (= @t288 tptp.empty_set)) (forall @t545 (not (and @t544 (forall @t541 (=> (and (tptp.in @t538 @t288) (tptp.subset @t543 @t538)) (= @t538 @t543))))))))) % 5.85/6.13 (define @t623 () (tptp.ordinal @t163)) % 5.85/6.13 (define @t624 () (tptp.subset @t11 @t141)) % 5.85/6.13 (define @t625 () (tptp.in @t163 @t199)) % 5.85/6.13 (define @t626 () (= @t288 @t141)) % 5.85/6.13 (define @t627 () (tptp.in (tptp.set_difference @t302 @t141) @t11)) % 5.85/6.13 (define @t628 () (and @t221 @t204 @t250)) % 5.85/6.13 (define @t629 () (tptp.in @t543 @t11)) % 5.85/6.13 (define @t630 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t245))))) % 5.85/6.13 (define @t631 () (= @t141 @t552)) % 5.85/6.13 (define @t632 () (forall @t541 (=> @t554 (=> (= @t538 @t163) @t631)))) % 5.85/6.13 (define @t633 () (tptp.in @t163 @t556)) % 5.85/6.13 (define @t634 () (forall @t579 (=> (tptp.element @t576 @t199) (=> (= @t576 @t580) (= @t581 (tptp.subset_complement @t3 @t576)))))) % 5.85/6.13 (define @t635 () (= (tptp.ordered_pair @t580 @t581) @t163)) % 5.85/6.13 (define @t636 () (@list @t580 @t581)) % 5.85/6.13 (define @t637 () (tptp.cartesian_product2 @t556 @t45)) % 5.85/6.13 (define @t638 () (forall @t586 (=> (tptp.element @t582 @t199) (=> (= @t582 @t532) (= @t531 (tptp.subset_complement @t3 @t582)))))) % 5.85/6.13 (define @t639 () (= @t615 @t288)) % 5.85/6.13 (define @t640 () (tptp.subset_complement @t3 @t537)) % 5.85/6.13 (define @t641 () (tptp.element @t537 @t199)) % 5.85/6.13 (define @t642 () (forall @t540 (=> @t641 (=> (= @t537 @t543) (= @t538 @t640))))) % 5.85/6.13 (define @t643 () (tptp.cartesian_product2 @t11 @t45)) % 5.85/6.13 (define @t644 () (tptp.apply @t45 @t543)) % 5.85/6.13 (define @t645 () (tptp.in (tptp.relation_image @t45 @t163) @t11)) % 5.85/6.13 (define @t646 () (tptp.powerset @t317)) % 5.85/6.13 (define @t647 () (and @t352 @t74 @t47)) % 5.85/6.13 (define @t648 () (tptp.succ @t11)) % 5.85/6.13 (define @t649 () (= @t620 @t163)) % 5.85/6.13 (define @t650 () (exists @t545 (and (tptp.element @t543 @t3) @t629 (tptp.relstr_set_smaller @t1 @t288 @t543)))) % 5.85/6.13 (define @t651 () (tptp.singleton @t163)) % 5.85/6.13 (define @t652 () (exists @t174 (and @t200 @t617 (tptp.closed_subset @t163 @t1) @t624))) % 5.85/6.13 (define @t653 () (tptp.in @t141 @t199)) % 5.85/6.13 (define @t654 () (forall @t541 (=> @t554 (=> (= @t538 @t288) (= @t543 @t552))))) % 5.85/6.13 (define @t655 () (tptp.in @t163 @t45)) % 5.85/6.13 (define @t656 () (tptp.apply @t11 @t45)) % 5.85/6.13 (define @t657 () (= @t226 @t1)) % 5.85/6.13 (define @t658 () (exists @t20 (and @t149 @t101 @t657 (forall @t108 (=> @t143 (= @t656 @t515)))))) % 5.85/6.13 (define @t659 () (forall @t540 (=> @t641 (=> (= @t537 @t141) (= @t336 @t640))))) % 5.85/6.13 (define @t660 () (forall @t156 (not (forall @t541 (=> @t554 (=> (= @t538 @t45) @t631)))))) % 5.85/6.13 (define @t661 () (tptp.in @t1 tptp.omega)) % 5.85/6.13 (define @t662 () (tptp.element @t141 @t199)) % 5.85/6.13 (define @t663 () (= @t350 tptp.empty_set)) % 5.85/6.13 (define @t664 () (not (and @t275 @t663))) % 5.85/6.13 (define @t665 () (tptp.relation_rng @t189)) % 5.85/6.13 (define @t666 () (tptp.meet_of_subsets @t1 @t350)) % 5.85/6.13 (define @t667 () (tptp.union_of_subsets @t1 @t350)) % 5.85/6.13 (define @t668 () (forall @t108 (not (and @t293 (not (tptp.are_equipotent @t45 @t11)) @t299)))) % 5.85/6.13 (define @t669 () (forall @t146 (=> (and @t251 (tptp.subset @t141 @t45)) @t166))) % 5.85/6.13 (define @t670 () (tptp.meet_of_subsets @t3 @t11)) % 5.85/6.13 (define @t671 () (tptp.relation_dom_restriction @t45 @t11)) % 5.85/6.13 (define @t672 () (tptp.relation_image @t11 @t1)) % 5.85/6.13 (define @t673 () (tptp.relation_inverse_image @t11 @t1)) % 5.85/6.13 (define @t674 () (tptp.relation_image @t11 @t673)) % 5.85/6.13 (define @t675 () (tptp.set_intersection2 @t226 @t1)) % 5.85/6.13 (define @t676 () (tptp.subset @t1 @t227)) % 5.85/6.13 (define @t677 () (tptp.relation_of2_as_subset @t141 @t45 @t11)) % 5.85/6.13 (define @t678 () (tptp.relation_rng @t141)) % 5.85/6.13 (define @t679 () (tptp.relation_of2_as_subset @t141 @t45 @t1)) % 5.85/6.13 (define @t680 () (and @t89 @t5)) % 5.85/6.13 (define @t681 () (tptp.relation_rng @t348)) % 5.85/6.13 (define @t682 () (tptp.relation_inverse_image @t45 @t11)) % 5.85/6.13 (define @t683 () (tptp.relation_restriction @t45 @t11)) % 5.85/6.13 (define @t684 () (tptp.relation_restriction @t11 @t1)) % 5.85/6.13 (define @t685 () (tptp.relation_dom_restriction @t11 @t1)) % 5.85/6.13 (define @t686 () (tptp.relation_field @t45)) % 5.85/6.13 (define @t687 () (tptp.in @t1 @t686)) % 5.85/6.13 (define @t688 () (tptp.subset @t1 @t45)) % 5.85/6.13 (define @t689 () (tptp.subset @t357 @t172)) % 5.85/6.13 (define @t690 () (forall @t108 (=> @t358 @t689))) % 5.85/6.13 (define @t691 () (=> @t177 @t690)) % 5.85/6.13 (define @t692 () (forall @t20 @t691)) % 5.85/6.13 (define @t693 () (=> @t122 @t692)) % 5.85/6.13 (define @t694 () (forall @t6 @t693)) % 5.85/6.13 (define @t695 () (not @t694)) % 5.85/6.13 (define @t696 () (tptp.the_carrier @t237)) % 5.85/6.13 (define @t697 () (tptp.element @t45 @t696)) % 5.85/6.13 (define @t698 () (tptp.element @t11 @t696)) % 5.85/6.13 (define @t699 () (tptp.element @t1 @t11)) % 5.85/6.13 (define @t700 () (tptp.relstr_set_smaller @t1 @t45 @t141)) % 5.85/6.13 (define @t701 () (tptp.in @t1 @t317)) % 5.85/6.13 (define @t702 () (tptp.in @t327 @t45)) % 5.85/6.13 (define @t703 () (tptp.relation_field @t684)) % 5.85/6.13 (define @t704 () (tptp.apply @t45 @t1)) % 5.85/6.13 (define @t705 () (tptp.relation_composition @t45 @t11)) % 5.85/6.13 (define @t706 () (tptp.in @t1 (tptp.relation_dom @t705))) % 5.85/6.13 (define @t707 () (tptp.apply @t141 @t45)) % 5.85/6.13 (define @t708 () (and @t393 (tptp.quasi_total @t141 @t1 @t11) (tptp.relation_of2_as_subset @t141 @t1 @t11))) % 5.85/6.13 (define @t709 () (tptp.connected @t11)) % 5.85/6.13 (define @t710 () (tptp.well_ordering @t684)) % 5.85/6.13 (define @t711 () (= @t703 @t1)) % 5.85/6.13 (define @t712 () (tptp.well_orders @t11 @t1)) % 5.85/6.13 (define @t713 () (tptp.related @t1 @t11 @t141)) % 5.85/6.13 (define @t714 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 5.85/6.13 (define @t715 () (tptp.poset_of_lattice @t11)) % 5.85/6.13 (define @t716 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 5.85/6.13 (define @t717 () (tptp.element @t45 (tptp.the_carrier @t715))) % 5.85/6.13 (define @t718 () (tptp.the_carrier @t287)) % 5.85/6.13 (define @t719 () (and (= @t11 (tptp.join_on_relstr @t1 @t45)) (tptp.ex_sup_of_relstr_set @t1 @t45))) % 5.85/6.13 (define @t720 () (and (tptp.relstr_set_smaller @t1 @t45 @t11) (forall @t156 (=> @t155 (=> @t700 @t713))))) % 5.85/6.13 (define @t721 () (tptp.well_founded_relation @t11)) % 5.85/6.13 (define @t722 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 5.85/6.13 (define @t723 () (and @t143 @t251)) % 5.85/6.13 (define @t724 () (not @t339)) % 5.85/6.13 (define @t725 () (= @t1 @t648)) % 5.85/6.13 (define @t726 () (and @t63 @t89 @t106 @t5)) % 5.85/6.13 (define @t727 () (tptp.subset_complement @t1 @t45)) % 5.85/6.13 (define @t728 () (tptp.disjoint @t11 @t45)) % 5.85/6.13 (define @t729 () (tptp.relation_dom @t348)) % 5.85/6.13 (define @t730 () (and (tptp.closed_subset @t141 @t1) @t624)) % 5.85/6.13 (define @t731 () (tptp.in @t45 @t201)) % 5.85/6.13 (define @t732 () (tptp.element @t11 @t608)) % 5.85/6.13 (define @t733 () (tptp.in @t45 @t131)) % 5.85/6.13 (define @t734 () (= @t201 @t11)) % 5.85/6.13 (define @t735 () (and (tptp.in @t45 @t322) (= @t141 @t656))) % 5.85/6.13 (define @t736 () (tptp.function_inverse @t11)) % 5.85/6.13 (define @t737 () (tptp.related @t11 @t163 @t288)) % 5.85/6.13 (define @t738 () (tptp.element @t288 @t172)) % 5.85/6.13 (define @t739 () (= @t322 tptp.empty_set)) % 5.85/6.13 (define @t740 () (= @t183 tptp.empty_set)) % 5.85/6.13 (define @t741 () (= (tptp.apply @t521 @t11) (tptp.apply @t45 @t11))) % 5.85/6.13 (define @t742 () (= @t244 @t524)) % 5.85/6.13 (define @t743 () (@var "BOUND_VARIABLE_16275" $$unsorted)) % 5.85/6.13 (define @t744 () (tptp.rel_str @t743)) % 5.85/6.13 (define @t745 () (not (tptp.net_str @t743 @t1))) % 5.85/6.13 (define @t746 () (not @t122)) % 5.85/6.13 (define @t747 () (or @t746 @t745 @t744)) % 5.85/6.13 (define @t748 () (or @t745 @t744)) % 5.85/6.13 (define @t749 () (or @t746 @t748)) % 5.85/6.13 (define @t750 () (@list @t1 @t743)) % 5.85/6.13 (define @t751 () (forall @t750 @t749)) % 5.85/6.13 (define @t752 () (@list @t743)) % 5.85/6.13 (define @t753 () (forall @t752 @t749)) % 5.85/6.13 (define @t754 () (forall @t752 @t748)) % 5.85/6.13 (define @t755 () (@list @t11)) % 5.85/6.13 (define @t756 () (or @t746 @t754)) % 5.85/6.13 (define @t757 () (not @t177)) % 5.85/6.13 (define @t758 () (forall @t20 (or @t757 @t209))) % 5.85/6.13 (define @t759 () (@var "BOUND_VARIABLE_16341" $$unsorted)) % 5.85/6.13 (define @t760 () (tptp.net_str @t759 @t1)) % 5.85/6.13 (define @t761 () (not (tptp.subnetstr @t759 @t1 @t11))) % 5.85/6.13 (define @t762 () (or @t761 @t760)) % 5.85/6.13 (define @t763 () (or @t746 @t757 @t762)) % 5.85/6.13 (define @t764 () (forall (@list @t1 @t11 @t759) @t763)) % 5.85/6.13 (define @t765 () (@list @t759)) % 5.85/6.13 (define @t766 () (forall @t765 @t763)) % 5.85/6.13 (define @t767 () (forall @t765 @t762)) % 5.85/6.13 (define @t768 () (@list @t45)) % 5.85/6.13 (define @t769 () (or @t746 @t757 @t767)) % 5.85/6.13 (define @t770 () (not @t358)) % 5.85/6.13 (define @t771 () (forall @t108 (or @t770 @t360))) % 5.85/6.13 (define @t772 () (or @t746 @t757 @t771)) % 5.85/6.13 (define @t773 () (@var "BOUND_VARIABLE_21477" $$unsorted)) % 5.85/6.13 (define @t774 () (@var "BOUND_VARIABLE_21479" $$unsorted)) % 5.85/6.13 (define @t775 () (tptp.subset (tptp.the_carrier @t774) (tptp.the_carrier @t773))) % 5.85/6.13 (define @t776 () (not (tptp.subnetstr @t774 @t1 @t773))) % 5.85/6.13 (define @t777 () (not (tptp.net_str @t773 @t1))) % 5.85/6.13 (define @t778 () (or @t746 @t777 @t776 @t775)) % 5.85/6.13 (define @t779 () (@list @t1 @t773 @t774)) % 5.85/6.13 (define @t780 () (forall @t779 @t778)) % 5.85/6.13 (define @t781 () (@quantifiers_skolemize @t780 2)) % 5.85/6.13 (define @t782 () (@quantifiers_skolemize @t780 1)) % 5.85/6.13 (define @t783 () (@quantifiers_skolemize @t780 0)) % 5.85/6.13 (define @t784 () (@list @t783 @t782 @t781)) % 5.85/6.13 (define @t785 () (or @t777 @t776 @t775)) % 5.85/6.13 (define @t786 () (or @t746 @t785)) % 5.85/6.13 (define @t787 () (forall @t779 @t786)) % 5.85/6.13 (define @t788 () (@list @t773 @t774)) % 5.85/6.13 (define @t789 () (forall @t788 @t786)) % 5.85/6.13 (define @t790 () (forall @t788 @t785)) % 5.85/6.13 (define @t791 () (@var "BOUND_VARIABLE_21461" $$unsorted)) % 5.85/6.13 (define @t792 () (or @t746 @t790)) % 5.85/6.13 (define @t793 () (tptp.subset (tptp.the_carrier @t791) @t172)) % 5.85/6.13 (define @t794 () (not (tptp.subnetstr @t791 @t1 @t11))) % 5.85/6.13 (define @t795 () (or @t757 @t794 @t793)) % 5.85/6.13 (define @t796 () (@list @t11 @t791)) % 5.85/6.13 (define @t797 () (forall @t796 @t795)) % 5.85/6.13 (define @t798 () (or @t794 @t793)) % 5.85/6.13 (define @t799 () (or @t757 @t798)) % 5.85/6.13 (define @t800 () (forall @t796 @t799)) % 5.85/6.13 (define @t801 () (@list @t791)) % 5.85/6.13 (define @t802 () (forall @t801 @t799)) % 5.85/6.13 (define @t803 () (forall @t801 @t798)) % 5.85/6.13 (define @t804 () (or @t757 @t803)) % 5.85/6.13 (define @t805 () (forall @t108 (or @t770 @t689))) % 5.85/6.13 (define @t806 () (tptp.subnetstr @t781 @t783 @t782)) % 5.85/6.13 (define @t807 () (tptp.the_carrier @t782)) % 5.85/6.13 (define @t808 () (tptp.the_carrier @t781)) % 5.85/6.13 (define @t809 () (tptp.subset @t808 @t807)) % 5.85/6.13 (define @t810 () (not @t806)) % 5.85/6.13 (define @t811 () (tptp.net_str @t782 @t783)) % 5.85/6.13 (define @t812 () (not @t811)) % 5.85/6.13 (define @t813 () (tptp.one_sorted_str @t783)) % 5.85/6.13 (define @t814 () (not @t813)) % 5.85/6.13 (define @t815 () (or @t814 @t812 @t810 @t809)) % 5.85/6.13 (define @t816 () (@list true)) % 5.85/6.13 (define @t817 () (@list @t815)) % 5.85/6.13 (define @t818 () (tptp.net_str @t781 @t783)) % 5.85/6.13 (define @t819 () (or @t814 @t812 @t810 @t818)) % 5.85/6.13 (define @t820 () (@list false false false false)) % 5.85/6.13 (define @t821 () (@var "BOUND_VARIABLE_13692" $$unsorted)) % 5.85/6.13 (define @t822 () (= (tptp.subrelstr @t821 @t1) (and (tptp.subset (tptp.the_carrier @t821) @t3) (tptp.subset (tptp.the_InternalRel @t821) @t2)))) % 5.85/6.13 (define @t823 () (not (tptp.rel_str @t821))) % 5.85/6.13 (define @t824 () (not @t5)) % 5.85/6.13 (define @t825 () (or @t823 @t822)) % 5.85/6.13 (define @t826 () (or @t824 @t825)) % 5.85/6.13 (define @t827 () (forall (@list @t1 @t821) @t826)) % 5.85/6.13 (define @t828 () (@list @t821)) % 5.85/6.13 (define @t829 () (forall @t828 @t826)) % 5.85/6.13 (define @t830 () (forall @t828 @t825)) % 5.85/6.13 (define @t831 () (or @t824 @t830)) % 5.85/6.13 (define @t832 () (forall @t20 (or (not @t209) @t208))) % 5.85/6.13 (define @t833 () (@var "BOUND_VARIABLE_15839" $$unsorted)) % 5.85/6.13 (define @t834 () (@var "BOUND_VARIABLE_15837" $$unsorted)) % 5.85/6.13 (define @t835 () (= (tptp.subnetstr @t833 @t1 @t834) (and (tptp.subrelstr @t833 @t834) (= (tptp.the_mapping @t1 @t833) (tptp.relation_dom_restr_as_relation_of (tptp.the_carrier @t834) @t3 (tptp.the_mapping @t1 @t834) (tptp.the_carrier @t833)))))) % 5.85/6.13 (define @t836 () (not (tptp.net_str @t833 @t1))) % 5.85/6.13 (define @t837 () (not (tptp.net_str @t834 @t1))) % 5.85/6.13 (define @t838 () (or @t837 @t836 @t835)) % 5.85/6.13 (define @t839 () (or @t746 @t838)) % 5.85/6.13 (define @t840 () (forall (@list @t1 @t834 @t833) @t839)) % 5.85/6.13 (define @t841 () (@list @t834 @t833)) % 5.85/6.13 (define @t842 () (forall @t841 @t839)) % 5.85/6.13 (define @t843 () (forall @t841 @t838)) % 5.85/6.13 (define @t844 () (@var "BOUND_VARIABLE_15815" $$unsorted)) % 5.85/6.13 (define @t845 () (or @t746 @t843)) % 5.85/6.13 (define @t846 () (= (tptp.subnetstr @t844 @t1 @t11) (and (tptp.subrelstr @t844 @t11) (= (tptp.the_mapping @t1 @t844) (tptp.relation_dom_restr_as_relation_of @t172 @t3 @t353 (tptp.the_carrier @t844)))))) % 5.85/6.13 (define @t847 () (not (tptp.net_str @t844 @t1))) % 5.85/6.13 (define @t848 () (or @t757 @t847 @t846)) % 5.85/6.13 (define @t849 () (@list @t11 @t844)) % 5.85/6.13 (define @t850 () (forall @t849 @t848)) % 5.85/6.13 (define @t851 () (or @t847 @t846)) % 5.85/6.13 (define @t852 () (or @t757 @t851)) % 5.85/6.13 (define @t853 () (forall @t849 @t852)) % 5.85/6.13 (define @t854 () (@list @t844)) % 5.85/6.13 (define @t855 () (forall @t854 @t852)) % 5.85/6.13 (define @t856 () (forall @t854 @t851)) % 5.85/6.13 (define @t857 () (or @t757 @t856)) % 5.85/6.13 (define @t858 () (forall @t108 (or (not @t360) @t359))) % 5.85/6.13 (define @t859 () (tptp.subrelstr @t781 @t782)) % 5.85/6.13 (define @t860 () (and @t859 (= (tptp.the_mapping @t783 @t781) (tptp.relation_dom_restr_as_relation_of @t807 (tptp.the_carrier @t783) (tptp.the_mapping @t783 @t782) @t808)))) % 5.85/6.13 (define @t861 () (= @t806 @t860)) % 5.85/6.13 (define @t862 () (not @t818)) % 5.85/6.13 (define @t863 () (or @t814 @t812 @t862 @t861)) % 5.85/6.13 (define @t864 () (and @t809 (tptp.subset (tptp.the_InternalRel @t781) (tptp.the_InternalRel @t782)))) % 5.85/6.13 (define @t865 () (not @t864)) % 5.85/6.13 (define @t866 () (= @t859 @t864)) % 5.85/6.13 (define @t867 () (not @t866)) % 5.85/6.13 (define @t868 () (@list true false)) % 5.85/6.13 (define @t869 () (tptp.rel_str @t782)) % 5.85/6.13 (define @t870 () (or @t814 @t812 @t869)) % 5.85/6.13 (define @t871 () (tptp.rel_str @t781)) % 5.85/6.13 (define @t872 () (not @t871)) % 5.85/6.13 (define @t873 () (not @t869)) % 5.85/6.13 (define @t874 () (or @t873 @t872 @t866)) % 5.85/6.13 (define @t875 () (@list false true false)) % 5.85/6.13 (define @t876 () (or @t814 @t862 @t871)) % 5.85/6.13 (define @t877 () (not @t876)) % 5.85/6.13 (define @t878 () (forall @t750 @t747)) % 5.85/6.13 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 5.85/6.13 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 5.85/6.13 (assume @p3 (forall @t15 (=> @t14 @t13))) % 5.85/6.13 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 5.85/6.13 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 5.85/6.13 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 5.85/6.13 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 5.85/6.13 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 5.85/6.13 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 5.85/6.13 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 5.85/6.13 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 5.85/6.13 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 5.85/6.13 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 5.85/6.13 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 5.85/6.13 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 5.85/6.13 (assume @p16 (forall @t6 (=> @t30 @t41))) % 5.85/6.13 (assume @p17 (forall @t6 (=> @t43 @t42))) % 5.85/6.13 (assume @p18 (forall @t6 (=> @t30 @t44))) % 5.85/6.13 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 5.85/6.13 (assume @p20 (forall @t6 (=> @t10 (=> (and @t63 @t55 @t64) (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52))))) % 5.85/6.13 (assume @p21 (forall @t6 (=> @t5 (=> @t65 @t63)))) % 5.85/6.13 (assume @p22 (forall @t6 (=> @t10 (=> @t67 @t66)))) % 5.85/6.13 (assume @p23 (forall @t6 (=> @t29 @t27))) % 5.85/6.13 (assume @p24 (forall @t6 (=> @t40 @t70))) % 5.85/6.13 (assume @p25 (forall @t6 (=> (and @t72 (tptp.symmetric @t1) @t73) (and @t72 @t71)))) % 5.85/6.13 (assume @p26 (forall @t6 (=> @t30 @t72))) % 5.85/6.13 (assume @p27 (forall @t51 (=> @t76 @t74))) % 5.85/6.13 (assume @p28 (forall @t6 (=> @t5 (=> @t79 (and @t63 @t65 @t77))))) % 5.85/6.13 (assume @p29 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 5.85/6.13 (assume @p30 (forall @t6 (=> (and @t30 @t40) @t81))) % 5.85/6.13 (assume @p31 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t82))))) % 5.85/6.13 (assume @p32 (forall @t6 (=> @t42 @t43))) % 5.85/6.13 (assume @p33 (forall @t6 (=> @t85 @t84))) % 5.85/6.13 (assume @p34 (forall @t51 (=> @t50 (=> @t88 @t87)))) % 5.85/6.13 (assume @p35 (forall @t6 (=> @t5 (=> @t77 @t63)))) % 5.85/6.13 (assume @p36 (forall @t6 (=> @t10 (=> @t66 @t67)))) % 5.85/6.13 (assume @p37 (forall @t6 (=> @t27 @t25))) % 5.85/6.13 (assume @p38 (forall @t6 (=> @t70 @t40))) % 5.85/6.13 (assume @p39 (forall @t6 (=> @t5 (=> (and @t63 @t91 @t92) (and @t63 @t91 @t90 @t89 @t78))))) % 5.85/6.13 (assume @p40 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t81))) % 5.85/6.13 (assume @p41 (forall @t51 (=> @t50 (=> @t87 @t88)))) % 5.85/6.13 (assume @p42 (forall @t6 (=> @t10 (=> @t94 @t93)))) % 5.85/6.13 (assume @p43 (forall @t6 (=> @t25 @t23))) % 5.85/6.13 (assume @p44 (forall @t6 (=> @t30 @t95))) % 5.85/6.13 (assume @p45 (forall @t6 (=> @t5 (=> @t79 (and @t63 @t96))))) % 5.85/6.13 (assume @p46 (forall @t15 (=> @t104 (=> (and @t101 @t103 @t102 @t99) (and @t101 @t100 @t99 @t98 @t97))))) % 5.85/6.13 (assume @p47 (forall @t6 (=> @t10 (=> @t93 @t94)))) % 5.85/6.13 (assume @p48 (forall @t6 (=> @t23 @t21))) % 5.85/6.13 (assume @p49 (forall @t6 (=> @t5 (=> @t96 @t107)))) % 5.85/6.13 (assume @p50 (forall @t15 (=> @t110 (forall @t108 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 5.85/6.13 (assume @p51 (forall @t6 (=> @t10 (=> @t114 (and @t63 @t112 @t54 @t53 @t52 @t111))))) % 5.85/6.13 (assume @p52 (forall @t6 (=> @t5 (=> @t107 @t96)))) % 5.85/6.13 (assume @p53 (forall @t15 (=> @t117 (forall @t108 (=> @t50 (=> @t48 (and @t47 (not @t115) @t49 @t46))))))) % 5.85/6.13 (assume @p54 (forall @t6 (=> @t10 (=> (and @t63 @t112 @t52 @t111) @t114)))) % 5.85/6.13 (assume @p55 (forall @t6 (=> @t10 (=> (and @t63 @t55 @t112) (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t118))))) % 5.85/6.13 (assume @p56 (forall @t51 (=> @t123 (= @t119 (tptp.unordered_pair_as_carrier_subset @t1 @t45 @t11))))) % 5.85/6.13 (assume @p57 (forall @t15 (= @t124 (tptp.unordered_pair @t11 @t1)))) % 5.85/6.13 (assume @p58 (forall @t15 (= @t126 @t125))) % 5.85/6.13 (assume @p59 (forall @t51 (=> @t129 (= @t127 (tptp.join_commut @t1 @t45 @t11))))) % 5.85/6.13 (assume @p60 (forall @t15 (= @t131 @t130))) % 5.85/6.13 (assume @p61 (forall @t51 (=> @t134 (= @t132 (tptp.meet_commut @t1 @t45 @t11))))) % 5.85/6.13 (assume @p62 (forall @t51 (=> @t137 (= @t135 (tptp.subset_union2 @t1 @t45 @t11))))) % 5.85/6.13 (assume @p63 (forall @t51 (=> @t137 (= @t138 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 5.85/6.13 (assume @p64 (forall @t15 (=> @t140 (or @t139 (tptp.ordinal_subset @t11 @t1))))) % 5.85/6.13 (assume @p65 (forall @t15 (=> @t149 (= @t148 (forall @t146 (= @t145 (and @t143 @t142))))))) % 5.85/6.13 (assume @p66 (forall @t15 (= @t152 (and @t151 @t150)))) % 5.85/6.13 (assume @p67 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (=> @t160 (= (= @t45 @t159) (and @t158 @t157)))))))) % 5.85/6.13 (assume @p68 (forall @t6 (=> @t122 (= @t162 (tptp.identity_as_relation_of @t3))))) % 5.85/6.13 (assume @p69 (forall @t6 (=> @t72 (forall @t161 (=> @t74 (= (= @t45 @t169) (forall @t168 (= @t167 (and @t166 @t165))))))))) % 5.85/6.13 (assume @p70 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t108 (= @t176 (exists @t156 (and @t175 (forall @t174 (=> @t173 (=> @t171 @t170)))))))))))) % 5.85/6.13 (assume @p71 (forall @t6 (=> @t5 (= @t181 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 5.85/6.13 (assume @p72 (forall @t6 (=> @t187 (forall @t161 (= @t186 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t183) @t182 (= @t141 (tptp.apply @t1 @t163))))))))))) % 5.85/6.13 (assume @p73 (forall @t15 (=> @t149 (forall @t108 (=> @t74 (= (= @t45 @t189) (forall @t168 (= @t167 (and @t188 (tptp.in @t164 @t11)))))))))) % 5.85/6.13 (assume @p74 (forall @t6 (=> @t72 (= @t191 (tptp.is_antisymmetric_in @t1 @t190))))) % 5.85/6.13 (assume @p75 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t108 (= @t192 (forall @t156 (=> @t175 (exists @t174 (and @t173 @t171 @t170))))))))))) % 5.85/6.13 (assume @p76 (forall @t6 (=> @t187 (forall @t161 (= @t195 (forall @t156 (= @t184 (and @t194 (tptp.in @t193 @t11))))))))) % 5.85/6.13 (assume @p77 (forall @t6 (=> @t198 (= @t54 (exists @t20 (and @t121 @t197)))))) % 5.85/6.13 (assume @p78 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (forall @t108 (=> @t202 (= (= @t45 @t201) (forall @t156 (=> (tptp.in @t141 @t3) (= @t184 (forall @t174 (=> @t200 (not (and (tptp.open_subset @t163 @t1) (tptp.in @t141 @t163) (tptp.disjoint @t11 @t163)))))))))))))))) % 5.85/6.13 (assume @p79 (forall @t6 (=> @t72 (forall @t161 (= @t186 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t205 @t1) @t182))))))))) % 5.85/6.13 (assume @p80 @t212) % 5.85/6.13 (assume @p81 (forall @t6 (=> @t72 (forall @t161 (= @t195 (forall @t156 (= @t184 (exists @t174 (and @t165 @t182))))))))) % 5.85/6.13 (assume @p82 (forall @t6 (=> @t72 (= @t213 (tptp.is_connected_in @t1 @t190))))) % 5.85/6.13 (assume @p83 (forall @t6 (=> @t5 (forall @t20 (=> @t207 (= @t214 (= @t206 (tptp.relation_restriction_as_relation_of @t2 @t172)))))))) % 5.85/6.13 (assume @p84 (forall @t6 (=> @t216 (forall @t20 (=> @t121 (forall @t108 (= @t215 (forall @t156 (=> @t155 (=> @t184 (tptp.below @t1 @t11 @t141))))))))))) % 5.85/6.13 (assume @p85 (forall @t6 (=> @t198 (=> @t54 (forall @t20 (=> @t121 (= (= @t11 @t217) @t197))))))) % 5.85/6.13 (assume @p86 (forall @t6 (=> @t72 (= @t73 (tptp.is_transitive_in @t1 @t190))))) % 5.85/6.13 (assume @p87 (forall @t6 (=> @t216 (forall @t20 (=> @t121 (forall @t108 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t156 (=> @t155 (=> @t184 (tptp.below @t1 @t141 @t11))))))))))) % 5.85/6.13 (assume @p88 (forall @t6 (=> @t187 (forall @t161 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t218)))))) % 5.85/6.13 (assume @p89 (forall @t6 (=> @t222 (forall @t20 (=> @t121 (forall @t108 (=> @t202 (= @t220 (tptp.in @t11 @t219))))))))) % 5.85/6.13 (assume @p90 (forall @t225 (= (= @t141 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t174 (= @t224 (not (and (not (= @t163 @t1)) (not (= @t163 @t11)) (not @t223)))))))) % 5.85/6.13 (assume @p91 (forall @t6 (= @t41 (exists @t20 (and @t149 @t101 (= @t227 @t1) (tptp.in @t226 tptp.omega)))))) % 5.85/6.13 (assume @p92 (forall @t6 (= @t44 (forall @t230 (=> (and @t229 @t228) @t142))))) % 5.85/6.13 (assume @p93 (forall @t51 (=> @t235 (and (=> (=> @t233 @t232) (= @t46 (= @t1 @t234))) (=> @t233 (or @t232 (= @t46 @t231))))))) % 5.85/6.13 (assume @p94 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t238) (= (= @t11 @t237) (and (= @t172 @t32) (forall @t108 (=> @t136 (forall @t156 (=> @t236 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t45 @t141) (tptp.subset_union2 @t1 @t45 @t141)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t45 @t141) (tptp.subset_intersection2 @t1 @t45 @t141)))))))))))) % 5.85/6.13 (assume @p95 (forall @t6 (=> @t240 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t239 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 5.85/6.13 (assume @p96 (forall @t6 (=> @t243 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t146 (=> @t242 @t241))))))) % 5.85/6.13 (assume @p97 (forall @t6 (= @t245 (tptp.set_union2 @t1 @t244)))) % 5.85/6.13 (assume @p98 (forall @t6 (=> @t204 (= @t221 (and (tptp.in @t3 @t246) (forall @t20 (=> @t250 (=> (tptp.subset @t11 @t246) (tptp.in @t248 @t246)))) (forall @t20 (=> @t203 (forall @t108 (=> @t202 (=> (and @t247 (tptp.in @t45 @t246)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t246))))))))))) % 5.85/6.13 (assume @p99 (forall @t6 (= @t72 (forall @t20 (not (and @t12 (forall @t146 (not (= @t11 @t144))))))))) % 5.85/6.13 (assume @p100 (forall @t6 (=> @t72 (forall @t20 (= @t252 (forall @t108 (=> @t251 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 5.85/6.13 (assume @p101 (forall @t51 (= @t50 (tptp.subset @t45 @t75)))) % 5.85/6.13 (assume @p102 (forall @t15 (and (=> @t256 (= @t253 (forall @t108 (= @t251 (forall @t156 (=> @t255 @t254)))))) (=> @t232 (= @t253 @t233))))) % 5.85/6.13 (assume @p103 (forall @t6 (=> @t122 (= @t62 @t257)))) % 5.85/6.13 (assume @p104 (forall @t15 (= (= @t11 @t244) (forall @t108 (= @t251 (= @t45 @t1)))))) % 5.85/6.13 (assume @p105 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t259 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t258)))))))) % 5.85/6.13 (assume @p106 (forall @t6 (=> @t204 (forall @t20 (=> @t250 (= @t261 (forall @t108 (=> @t202 (=> @t251 @t260))))))))) % 5.85/6.13 (assume @p107 (forall @t6 (=> @t5 (forall @t20 (=> @t203 (= @t264 (forall @t108 (=> @t120 (forall @t156 (=> @t155 (not (and @t251 @t166 (forall @t174 (=> @t263 (not (and @t182 (tptp.related @t1 @t45 @t163) @t262)))))))))))))))) % 5.85/6.13 (assume @p108 (forall @t6 (=> @t72 (forall @t161 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t156 (= @t184 (and (not @t265) (tptp.in (tptp.ordered_pair @t141 @t11) @t1))))))))) % 5.85/6.13 (assume @p109 (forall @t15 (=> @t149 (= (= @t11 @t268) (and (= @t267 @t1) (forall @t146 (=> (and @t143 @t255) (= @t145 @t266)))))))) % 5.85/6.13 (assume @p110 (forall @t6 (= @t232 (forall @t20 @t13)))) % 5.85/6.13 (assume @p111 (forall @t6 (= @t270 (tptp.rel_str_of @t1 @t269)))) % 5.85/6.13 (assume @p112 (forall @t15 (= (= @t11 @t32) (forall @t108 (= @t251 (tptp.subset @t45 @t1)))))) % 5.85/6.13 (assume @p113 (forall @t6 (=> @t216 (=> @t272 (forall @t161 (=> @t120 (= (= @t45 @t271) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t156 (=> @t155 (=> (tptp.latt_element_smaller @t1 @t141 @t11) (tptp.below @t1 @t45 @t141)))))))))))) % 5.85/6.13 (assume @p114 (forall @t6 (=> @t216 (forall @t20 (= @t273 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 5.85/6.13 (assume @p115 (forall @t6 (= (tptp.centered @t1) (and @t256 (forall @t20 (not (and @t275 @t150 @t82 (= @t274 tptp.empty_set)))))))) % 5.85/6.13 (assume @p116 (forall @t6 (=> @t278 (= @t277 (tptp.rel_str_of @t3 @t276))))) % 5.85/6.13 (assume @p117 (forall @t6 (=> @t198 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t196 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 5.85/6.13 (assume @p118 (forall @t6 (=> @t243 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t146 (=> @t242 @t279))))))) % 5.85/6.13 (assume @p119 (forall @t6 (= @t69 (forall @t20 (=> @t12 @t150))))) % 5.85/6.13 (assume @p120 (forall @t6 (=> @t122 (= @t280 tptp.empty_set)))) % 5.85/6.13 (assume @p121 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= @t152 (forall @t146 (= @t281 @t145)))))))) % 5.85/6.13 (assume @p122 (forall @t15 (and (=> @t116 (= @t19 @t12)) (=> @t30 (= @t19 @t109))))) % 5.85/6.13 (assume @p123 (forall @t51 (= (= @t45 @t124) (forall @t156 (= @t184 (or (= @t141 @t1) @t265)))))) % 5.85/6.13 (assume @p124 (forall @t15 (=> @t19 (= (tptp.proper_element @t11 @t1) (not @t283))))) % 5.85/6.13 (assume @p125 (forall @t6 (=> @t204 (forall @t20 (=> @t250 (= @t285 @t284)))))) % 5.85/6.13 (assume @p126 (forall @t6 (=> @t72 (= @t286 (forall @t20 (not (and (tptp.subset @t11 @t190) @t275 (forall @t108 (not (and @t251 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 5.85/6.13 (assume @p127 (forall @t51 (= (= @t45 @t126) (forall @t156 (= @t184 (or @t255 @t166)))))) % 5.85/6.13 (assume @p128 (forall @t6 (= @t287 (tptp.poset_of_lattice @t237)))) % 5.85/6.13 (assume @p129 (forall @t51 (= (= @t45 @t75) (forall @t156 (= @t184 (exists @t291 (and @t188 @t290 (= @t141 @t289)))))))) % 5.85/6.13 (assume @p130 (forall @t6 (=> @t204 (= @t296 (forall @t20 (=> @t250 (not (and @t295 @t261 (forall @t108 (=> @t294 (not (and @t293 (tptp.is_a_cover_of_carrier @t1 @t45) @t292)))))))))))) % 5.85/6.13 (assume @p131 (forall @t6 (=> @t278 (forall @t20 (=> @t121 (= @t297 @t11)))))) % 5.85/6.13 (assume @p132 (forall @t6 (=> @t240 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t298 (= @t239 @t45))))))))) % 5.85/6.13 (assume @p133 (forall @t6 (= @t68 (forall @t161 (not (and @t12 @t143 (not @t301) @t300 @t299)))))) % 5.85/6.13 (assume @p134 (forall @t6 (=> @t122 (= @t302 @t3)))) % 5.85/6.13 (assume @p135 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= @t151 (forall @t146 (=> @t281 @t145)))))))) % 5.85/6.13 (assume @p136 (forall @t15 (= @t151 @t303))) % 5.85/6.13 (assume @p137 (forall @t6 (=> @t72 (forall @t20 (= @t305 (forall @t108 (not (and @t293 @t304 (forall @t156 (not (and @t184 (tptp.disjoint (tptp.fiber @t1 @t141) @t45)))))))))))) % 5.85/6.13 (assume @p138 (forall @t51 (= (= @t45 @t131) (forall @t156 (= @t184 (and @t255 @t166)))))) % 5.85/6.13 (assume @p139 (forall @t6 (=> @t187 (forall @t161 (and (=> @t308 (= @t307 @t229)) (=> (not @t308) (= @t307 @t231))))))) % 5.85/6.13 (assume @p140 (forall @t6 (=> @t278 (forall @t20 (=> @t311 (= @t309 @t11)))))) % 5.85/6.13 (assume @p141 (forall @t6 (= @t40 @t70))) % 5.85/6.13 (assume @p142 (forall @t6 (=> @t72 (forall @t20 (= (= @t11 @t183) (forall @t108 (= @t251 (exists @t156 @t281)))))))) % 5.85/6.13 (assume @p143 (forall @t6 (=> @t72 (forall @t20 (= @t313 (forall @t146 (=> (and @t251 @t166 @t281 @t312) @t142))))))) % 5.85/6.13 (assume @p144 (forall @t6 (= @t314 @t1))) % 5.85/6.13 (assume @p145 (forall @t15 (= @t283 (forall @t108 (= @t251 (exists @t156 (and @t254 @t255))))))) % 5.85/6.13 (assume @p146 (forall @t6 (=> @t72 (= @t315 (and @t71 @t73 @t191 @t213 @t286))))) % 5.85/6.13 (assume @p147 (forall @t15 (= @t319 (exists @t108 (and @t74 @t47 @t86 @t318 (= @t316 @t11)))))) % 5.85/6.13 (assume @p148 (forall @t51 (= (= @t45 @t320) (forall @t156 (= @t184 (and @t255 (not @t166))))))) % 5.85/6.13 (assume @p149 (forall @t6 (=> @t5 (= @t106 (exists @t20 (and @t121 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 5.85/6.13 (assume @p150 (forall @t6 (=> @t187 (forall @t20 (= @t323 (forall @t108 (= @t251 (exists @t156 @t321)))))))) % 5.85/6.13 (assume @p151 (forall @t6 (=> @t5 (= @t90 (tptp.is_transitive_in @t2 @t3))))) % 5.85/6.13 (assume @p152 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t324 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t151))))))) % 5.85/6.13 (assume @p153 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t325 @t247)))))) % 5.85/6.13 (assume @p154 (forall @t6 (=> @t72 (forall @t20 (= @t323 (forall @t108 (= @t251 (exists @t156 @t312)))))))) % 5.85/6.13 (assume @p155 (forall @t15 (=> @t33 (= @t326 @t320)))) % 5.85/6.13 (assume @p156 (forall @t15 (= @t327 (tptp.unordered_pair @t124 @t244)))) % 5.85/6.13 (assume @p157 (forall @t6 (=> @t72 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t252 @t329 @t313 @t328 @t305)))))) % 5.85/6.13 (assume @p158 (forall @t6 (=> @t5 (= @t89 (tptp.is_antisymmetric_in @t2 @t3))))) % 5.85/6.13 (assume @p159 (forall @t6 (= @t324 (= @t1 @t282)))) % 5.85/6.13 (assume @p160 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t331 (tptp.open_subset @t330 @t1))))))) % 5.85/6.13 (assume @p161 (forall @t6 (=> @t72 (= @t190 (tptp.set_union2 @t183 @t322))))) % 5.85/6.13 (assume @p162 (forall @t6 (=> @t72 (forall @t20 (= @t328 (forall @t146 (not (and @t251 @t166 (not @t142) (not @t281) (not @t312))))))))) % 5.85/6.13 (assume @p163 (forall @t6 (=> @t72 (forall @t20 (= @t333 (tptp.set_intersection2 @t1 @t332)))))) % 5.85/6.13 (assume @p164 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= (= @t11 @t334) (forall @t146 (= @t145 @t312)))))))) % 5.85/6.13 (assume @p165 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t338 (= @t337 (and (= @t317 @t190) (= @t316 @t267) @t86 (forall @t168 (= @t165 (and (tptp.in @t141 @t190) (tptp.in @t163 @t190) (tptp.in (tptp.ordered_pair @t336 @t335) @t11))))))))))))) % 5.85/6.13 (assume @p166 (forall @t15 (= @t339 (= @t131 tptp.empty_set)))) % 5.85/6.13 (assume @p167 (forall @t6 (=> @t5 (forall @t20 (= @t345 (exists @t108 (and @t120 @t344 @t343 (forall @t156 (=> @t155 (=> (and @t341 (forall @t174 (=> @t263 (=> (tptp.relstr_set_smaller @t1 @t11 @t163) @t262)))) @t340)))))))))) % 5.85/6.13 (assume @p168 (forall @t6 (=> @t278 (= @t346 (tptp.a_1_0_filter_1 @t1))))) % 5.85/6.13 (assume @p169 (forall @t6 (=> @t187 (= @t83 (forall @t161 (=> (and @t308 (tptp.in @t45 @t183) (= @t306 (tptp.apply @t1 @t45))) @t241)))))) % 5.85/6.13 (assume @p170 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (= @t158 (forall @t156 (=> @t155 (=> @t166 @t342))))))))) % 5.85/6.13 (assume @p171 (forall @t6 (=> @t216 (= @t57 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= (tptp.join @t1 @t196 @t45) @t45))))))))) % 5.85/6.13 (assume @p172 (forall @t6 (=> @t122 (forall @t20 (=> @t250 (= @t295 (= @t302 @t248))))))) % 5.85/6.13 (assume @p173 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t74 (= (= @t45 @t348) (forall @t168 (= @t167 (exists @t347 (and (tptp.in (tptp.ordered_pair @t141 @t288) @t1) (tptp.in (tptp.ordered_pair @t288 @t163) @t11))))))))))))) % 5.85/6.13 (assume @p174 (forall @t6 (=> @t72 (forall @t20 (= @t329 (forall @t349 (=> (and @t251 @t166 @t182 @t281 @t165) (tptp.in (tptp.ordered_pair @t45 @t163) @t1)))))))) % 5.85/6.13 (assume @p175 (forall @t15 (=> @t352 (forall @t108 (=> (tptp.element @t45 @t351) (= (= @t45 @t350) (forall @t156 (=> @t236 (= @t184 (tptp.in (tptp.subset_complement @t1 @t141) @t11)))))))))) % 5.85/6.13 (assume @p176 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t108 (=> @t355 (= @t354 (tptp.apply_on_structs @t11 @t1 @t353 @t45))))))))) % 5.85/6.13 (assume @p177 (forall @t15 (= @t17 (and @t151 @t356)))) % 5.85/6.13 (assume @p178 (forall @t6 (=> @t5 (forall @t20 (= @t160 (exists @t108 (and @t120 @t158 @t157 (forall @t156 (=> @t155 (=> (and @t154 (forall @t174 (=> @t263 (=> (tptp.relstr_element_smaller @t1 @t11 @t163) (tptp.related @t1 @t163 @t141))))) @t340)))))))))) % 5.85/6.13 (assume @p179 @t365) % 5.85/6.13 (assume @p180 (forall @t6 (=> @t187 (=> @t83 (= @t366 @t334))))) % 5.85/6.13 (assume @p181 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (= @t344 (forall @t156 (=> @t155 (=> @t166 @t153))))))))) % 5.85/6.13 (assume @p182 (forall @t6 (=> @t5 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t367 (tptp.in @t218 @t2))))))))) % 5.85/6.13 (assume @p183 (forall @t6 (=> @t72 (= @t71 (tptp.is_reflexive_in @t1 @t190))))) % 5.85/6.13 (assume @p184 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (=> @t345 (= (= @t45 @t368) (and @t344 @t343)))))))) % 5.85/6.13 (assume @p185 (forall @t15 (=> @t104 (and @t370 (tptp.rel_str @t369))))) % 5.85/6.13 (assume @p186 (forall @t51 (=> @t378 (and @t372 (tptp.latt_str @t371))))) % 5.85/6.13 (assume @p187 (forall @t225 (=> @t382 (tptp.element @t380 (tptp.the_carrier @t379))))) % 5.85/6.13 (assume @p188 true) % 5.85/6.13 (assume @p189 (forall @t15 (=> @t216 (tptp.element @t271 @t3)))) % 5.85/6.13 (assume @p190 (forall @t15 (=> @t216 (tptp.element @t273 @t3)))) % 5.85/6.13 (assume @p191 (forall @t225 (=> @t385 (tptp.element @t383 @t75)))) % 5.85/6.13 (assume @p192 (forall @t6 (and @t386 (tptp.latt_str @t237)))) % 5.85/6.13 (assume @p193 (forall @t51 (=> (and @t63 @t128 @t121 @t120) (tptp.element @t239 @t3)))) % 5.85/6.13 (assume @p194 (forall @t6 (tptp.element @t387 @t351))) % 5.85/6.13 (assume @p195 (forall @t6 (=> @t122 (tptp.element @t280 @t199)))) % 5.85/6.13 (assume @p196 (forall @t15 (=> @t72 (tptp.relation_of2_as_subset @t388 @t11 @t11)))) % 5.85/6.13 (assume @p197 (forall @t15 (=> @t389 (tptp.element @t259 @t199)))) % 5.85/6.13 (assume @p198 (forall @t225 (=> @t391 (tptp.element @t390 @t172)))) % 5.85/6.13 (assume @p199 (forall @t6 (tptp.relation @t268))) % 5.85/6.13 (assume @p200 (forall @t15 (=> @t5 (tptp.element @t368 @t3)))) % 5.85/6.13 (assume @p201 (forall @t6 (and (tptp.reflexive @t269) (tptp.antisymmetric @t269) (tptp.transitive @t269) (tptp.v1_partfun1 @t269 @t1 @t1) (tptp.relation_of2_as_subset @t269 @t1 @t1)))) % 5.85/6.13 (assume @p202 (forall @t395 (=> @t394 (tptp.element @t392 @t45)))) % 5.85/6.13 (assume @p203 (forall @t6 (=> @t187 (and (tptp.relation @t366) (tptp.function @t366))))) % 5.85/6.13 (assume @p204 (forall @t6 (=> @t278 (and (tptp.reflexive @t276) (tptp.antisymmetric @t276) (tptp.transitive @t276) (tptp.v1_partfun1 @t276 @t3 @t3) (tptp.relation_of2_as_subset @t276 @t3 @t3))))) % 5.85/6.13 (assume @p205 (forall @t51 (=> (and @t63 @t133 @t121 @t120) (tptp.element @t196 @t3)))) % 5.85/6.13 (assume @p206 (forall @t6 (=> @t122 (tptp.element @t302 @t199)))) % 5.85/6.13 (assume @p207 (forall @t51 (=> @t123 (tptp.element @t119 @t199)))) % 5.85/6.13 (assume @p208 (forall @t6 (tptp.element @t314 @t32))) % 5.85/6.13 (assume @p209 (forall @t15 (=> @t72 (tptp.relation @t333)))) % 5.85/6.13 (assume @p210 (forall @t15 (=> @t5 (tptp.element @t159 @t3)))) % 5.85/6.13 (assume @p211 (forall @t6 (and @t396 (tptp.rel_str @t270)))) % 5.85/6.13 (assume @p212 (forall @t6 (=> @t278 (and @t400 @t399 @t398 @t397 (tptp.rel_str @t277))))) % 5.85/6.13 (assume @p213 (forall @t51 (=> @t129 (tptp.element @t127 @t3)))) % 5.85/6.13 (assume @p214 (forall @t15 (=> @t33 (tptp.element @t326 @t32)))) % 5.85/6.13 (assume @p215 (forall @t51 (=> (and @t63 @t122 @t178 @t177 @t355) (tptp.element @t354 @t3)))) % 5.85/6.13 (assume @p216 (forall @t6 (=> @t5 (tptp.element @t181 @t3)))) % 5.85/6.13 (assume @p217 (forall @t6 (and @t401 (tptp.rel_str @t287)))) % 5.85/6.13 (assume @p218 (forall @t15 (=> (and @t63 @t55 @t10 @t121) (tptp.element @t297 @t310)))) % 5.85/6.13 (assume @p219 (forall @t51 (=> @t134 (tptp.element @t132 @t3)))) % 5.85/6.13 (assume @p220 (forall @t6 (=> @t72 @t402))) % 5.85/6.13 (assume @p221 (forall @t51 (=> @t50 (tptp.element @t234 @t32)))) % 5.85/6.13 (assume @p222 (forall @t51 (=> @t137 (tptp.element @t135 @t32)))) % 5.85/6.13 (assume @p223 (forall @t15 (=> (and @t63 @t55 @t10 @t311) (tptp.element @t309 @t3)))) % 5.85/6.13 (assume @p224 (forall @t6 (=> @t198 (tptp.element @t217 @t3)))) % 5.85/6.13 (assume @p225 (forall @t15 (=> @t404 @t403))) % 5.85/6.13 (assume @p226 (forall @t51 (=> @t50 (tptp.element @t406 @t405)))) % 5.85/6.13 (assume @p227 (forall @t15 (=> @t352 (tptp.element @t407 @t32)))) % 5.85/6.13 (assume @p228 (forall @t51 (=> @t137 (tptp.element @t138 @t32)))) % 5.85/6.13 (assume @p229 (forall @t6 (and (tptp.v1_partfun1 @t408 @t1 @t1) (tptp.relation_of2_as_subset @t408 @t1 @t1)))) % 5.85/6.13 (assume @p230 (forall @t15 (=> @t389 (tptp.element @t201 @t199)))) % 5.85/6.13 (assume @p231 (forall @t6 @t409)) % 5.85/6.13 (assume @p232 (forall @t15 (=> @t352 (tptp.element @t410 @t32)))) % 5.85/6.13 (assume @p233 (forall @t51 (=> @t137 (tptp.element @t411 @t32)))) % 5.85/6.13 (assume @p234 (forall @t6 (=> @t122 (and (tptp.function @t162) (tptp.quasi_total @t162 @t3 @t3) (tptp.relation_of2_as_subset @t162 @t3 @t3))))) % 5.85/6.13 (assume @p235 (forall @t15 (=> @t72 @t412))) % 5.85/6.13 (assume @p236 (forall @t15 (=> @t352 (tptp.element @t350 @t351)))) % 5.85/6.13 (assume @p237 (forall @t15 (=> (and @t63 @t10 @t178 @t238) (and (tptp.strict_latt_str @t379) (tptp.latt_str @t379))))) % 5.85/6.13 (assume @p238 (forall @t225 (=> @t414 (tptp.element @t413 @t11)))) % 5.85/6.13 (assume @p239 (forall @t15 (=> @t149 @t415))) % 5.85/6.13 (assume @p240 (forall @t225 (=> @t50 (tptp.relation_of2_as_subset @t416 @t1 @t11)))) % 5.85/6.13 (assume @p241 (forall @t6 (=> @t278 (tptp.relation @t346)))) % 5.85/6.13 (assume @p242 (forall @t6 (=> @t133 @t122))) % 5.85/6.13 (assume @p243 (forall @t6 (=> @t5 @t122))) % 5.85/6.13 (assume @p244 (forall @t6 (=> @t204 @t122))) % 5.85/6.13 (assume @p245 @t419) % 5.85/6.13 (assume @p246 (forall @t6 (=> @t128 @t122))) % 5.85/6.13 (assume @p247 (forall @t6 (=> @t10 (and @t133 @t128)))) % 5.85/6.13 (assume @p248 (forall @t15 (=> @t420 (forall @t108 (=> @t220 @t202))))) % 5.85/6.13 (assume @p249 (forall @t6 (=> @t5 (forall @t20 (=> @t207 @t209))))) % 5.85/6.13 (assume @p250 @t424) % 5.85/6.13 (assume @p251 (forall @t51 (=> @t235 @t76))) % 5.85/6.13 (assume @p252 (forall @t6 (=> @t133 (and @t427 @t426 (tptp.relation_of2_as_subset @t7 @t425 @t3))))) % 5.85/6.13 (assume @p253 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 5.85/6.13 (assume @p254 (forall @t6 (=> @t204 (tptp.element @t246 @t249)))) % 5.85/6.13 (assume @p255 (forall @t15 (=> @t422 (and (tptp.function @t353) (tptp.quasi_total @t353 @t172 @t3) (tptp.relation_of2_as_subset @t353 @t172 @t3))))) % 5.85/6.13 (assume @p256 (forall @t6 (=> @t128 (and @t429 @t428 (tptp.relation_of2_as_subset @t8 @t425 @t3))))) % 5.85/6.13 (assume @p257 (exists @t6 @t133)) % 5.85/6.13 (assume @p258 (exists @t6 @t5)) % 5.85/6.13 (assume @p259 (exists @t6 @t204)) % 5.85/6.13 (assume @p260 (exists @t6 @t122)) % 5.85/6.13 (assume @p261 (forall @t6 (=> @t122 (exists @t20 @t177)))) % 5.85/6.13 (assume @p262 (exists @t6 @t128)) % 5.85/6.13 (assume @p263 (exists @t6 @t10)) % 5.85/6.13 (assume @p264 (forall @t15 (=> @t420 (exists @t108 @t220)))) % 5.85/6.13 (assume @p265 (forall @t15 (exists @t108 @t50))) % 5.85/6.13 (assume @p266 (forall @t6 (exists @t20 @t19))) % 5.85/6.13 (assume @p267 (forall @t6 (=> @t5 (exists @t20 @t207)))) % 5.85/6.13 (assume @p268 (forall @t15 (=> @t422 (exists @t108 @t358)))) % 5.85/6.13 (assume @p269 (forall @t15 (exists @t108 @t235))) % 5.85/6.13 (assume @p270 (forall @t15 (=> @t82 @t430))) % 5.85/6.13 (assume @p271 (forall @t15 (=> @t432 (and (tptp.empty @t431) (tptp.relation @t431))))) % 5.85/6.13 (assume @p272 (forall @t15 (=> @t41 @t430))) % 5.85/6.13 (assume @p273 (forall @t6 (=> @t30 (and (tptp.empty @t334) @t402)))) % 5.85/6.13 (assume @p274 (forall @t15 (=> @t41 (tptp.finite @t320)))) % 5.85/6.13 (assume @p275 (and @t435 @t434 @t433)) % 5.85/6.13 (assume @p276 (forall @t15 (=> (and @t72 @t44 @t82) (tptp.finite @t185)))) % 5.85/6.13 (assume @p277 (forall @t15 (=> @t437 (and @t412 (tptp.relation_empty_yielding @t169))))) % 5.85/6.13 (assume @p278 (forall @t15 (=> @t438 (tptp.finite @t75)))) % 5.85/6.13 (assume @p279 (forall @t6 (and @t439 (tptp.finite @t244)))) % 5.85/6.13 (assume @p280 (forall @t6 (and @t440 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 5.85/6.13 (assume @p281 (forall @t15 (=> (and @t72 @t44 @t149 @t101) (and @t403 (tptp.function @t348))))) % 5.85/6.13 (assume @p282 (forall @t6 (and @t455 @t386 @t454 @t453 @t452 @t451 @t450 @t449 @t448 @t447 @t446 @t445 @t444 @t443 @t442 @t441 (tptp.complete_latt_str @t237)))) % 5.85/6.13 (assume @p283 (forall @t6 (and @t455 @t386))) % 5.85/6.13 (assume @p284 (forall @t15 (=> (and @t116 @t104) (and (not (tptp.empty_carrier @t369)) @t370)))) % 5.85/6.13 (assume @p285 (forall @t6 @t456)) % 5.85/6.13 (assume @p286 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 5.85/6.13 (assume @p287 (forall @t6 (=> @t122 (and (tptp.empty @t280) (tptp.v1_membered @t280) (tptp.v2_membered @t280) (tptp.v3_membered @t280) (tptp.v4_membered @t280) (tptp.v5_membered @t280))))) % 5.85/6.13 (assume @p288 (forall @t15 (=> @t404 (tptp.relation @t131)))) % 5.85/6.13 (assume @p289 (forall @t6 (=> @t180 (not @t257)))) % 5.85/6.13 (assume @p290 (forall @t6 @t440)) % 5.85/6.13 (assume @p291 @t435) % 5.85/6.13 (assume @p292 (forall @t15 (=> (tptp.relation_of2 @t11 @t244 @t244) (and (not (tptp.empty_carrier @t457)) (tptp.strict_rel_str @t457) (tptp.trivial_carrier @t457))))) % 5.85/6.13 (assume @p293 (forall @t6 (=> @t278 (and @t460 @t400 @t399 @t398 @t397 @t459 @t458)))) % 5.85/6.13 (assume @p294 (forall @t15 (not (tptp.empty @t327)))) % 5.85/6.13 (assume @p295 (forall @t15 (=> @t21 @t461))) % 5.85/6.13 (assume @p296 (forall @t15 (=> @t21 @t462))) % 5.85/6.13 (assume @p297 (forall @t15 (=> @t23 (and @t461 @t463)))) % 5.85/6.13 (assume @p298 (forall @t6 (=> (and @t40 @t80) (and @t456 @t466 @t465 @t464 (tptp.natural @t245))))) % 5.85/6.13 (assume @p299 (forall @t15 (and @t467 (tptp.finite @t124)))) % 5.85/6.13 (assume @p300 (forall @t6 (and @t409 @t468))) % 5.85/6.13 (assume @p301 (forall @t6 (=> @t471 (and @t470 @t429 @t428 (tptp.v1_binop_1 @t8 @t3) @t469)))) % 5.85/6.13 (assume @p302 (forall @t6 (and @t455 @t386 @t454 @t453 @t452 @t451 @t450 @t449 @t448))) % 5.85/6.13 (assume @p303 (forall @t6 (=> (and @t91 @t90 @t89 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 5.85/6.13 (assume @p304 (and @t434 @t433 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t435 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 5.85/6.13 (assume @p305 (forall @t6 (and @t409 @t468 (tptp.reflexive @t147) (tptp.symmetric @t147) (tptp.antisymmetric @t147) (tptp.transitive @t147)))) % 5.85/6.13 (assume @p306 (forall @t6 (=> @t180 (not (tptp.empty @t302))))) % 5.85/6.13 (assume @p307 (forall @t15 (=> @t404 (tptp.relation @t126)))) % 5.85/6.13 (assume @p308 (forall @t6 @t439)) % 5.85/6.13 (assume @p309 (forall @t15 (=> @t472 (tptp.closed_subset @t201 @t1)))) % 5.85/6.13 (assume @p310 (forall @t15 (=> @t116 (not (tptp.empty @t126))))) % 5.85/6.13 (assume @p311 (forall @t6 (=> (and @t63 @t55 @t53 @t10) (and @t460 @t400 @t399 @t398 @t397 @t473 @t459 @t458)))) % 5.85/6.13 (assume @p312 (forall @t15 (=> @t23 (and @t462 @t474)))) % 5.85/6.13 (assume @p313 (forall @t15 (=> @t25 (and @t461 @t463 @t475)))) % 5.85/6.13 (assume @p314 (forall @t15 (=> @t25 (and @t462 @t474 @t476)))) % 5.85/6.13 (assume @p315 (forall @t15 (=> @t27 (and @t461 @t463 @t475 @t477)))) % 5.85/6.13 (assume @p316 (forall @t15 (=> @t27 (and @t462 @t474 @t476 @t478)))) % 5.85/6.13 (assume @p317 (forall @t15 (=> @t29 (and @t461 @t463 @t475 @t477 (tptp.v5_membered @t131))))) % 5.85/6.13 (assume @p318 (forall @t15 (=> @t29 (and @t462 @t474 @t476 @t478 (tptp.v5_membered @t130))))) % 5.85/6.13 (assume @p319 (forall @t15 (=> @t21 @t479))) % 5.85/6.13 (assume @p320 (forall @t15 (=> @t23 (and @t479 @t480)))) % 5.85/6.13 (assume @p321 (forall @t15 (=> @t25 (and @t479 @t480 @t481)))) % 5.85/6.13 (assume @p322 (forall @t6 (=> @t84 (and @t402 (tptp.function @t334))))) % 5.85/6.13 (assume @p323 (forall @t6 (=> (and @t63 @t60 @t128) (and @t470 @t429 @t428 (tptp.v2_binop_1 @t8 @t3) @t469)))) % 5.85/6.13 (assume @p324 (forall @t6 (and @t455 @t386 @t454 @t453 @t452 @t451 @t450 @t449 @t448 @t447 @t446 @t445 @t444 @t443 @t442 @t441))) % 5.85/6.13 (assume @p325 (forall @t51 (=> (and @t116 @t101 @t377 @t376 @t47 @t375 @t374) (and (not (tptp.empty_carrier @t371)) @t372)))) % 5.85/6.13 (assume @p326 (forall @t15 (=> (and @t102 @t483 @t482 @t103 @t104) (and @t370 (tptp.reflexive_relstr @t369) (tptp.transitive_relstr @t369) (tptp.antisymmetric_relstr @t369))))) % 5.85/6.13 (assume @p327 (forall @t6 (=> @t40 (and @t456 @t466 @t465 @t464)))) % 5.85/6.13 (assume @p328 (forall @t15 (=> @t404 (tptp.relation @t320)))) % 5.85/6.13 (assume @p329 (forall @t15 @t467)) % 5.85/6.13 (assume @p330 (forall @t15 (=> (and @t221 @t204 @t331 @t203) @t484))) % 5.85/6.13 (assume @p331 (forall @t15 (=> @t116 (not (tptp.empty @t125))))) % 5.85/6.13 (assume @p332 (forall @t6 (=> (and @t63 @t55 @t54 @t10) (and @t460 @t400 @t399 @t398 @t397 @t485 @t459 @t458)))) % 5.85/6.13 (assume @p333 (forall @t15 (=> @t27 (and @t479 @t480 @t481 @t486)))) % 5.85/6.13 (assume @p334 (forall @t15 (=> @t29 (and @t479 @t480 @t481 @t486 (tptp.v5_membered @t320))))) % 5.85/6.13 (assume @p335 (forall @t15 (=> @t187 (and @t412 (tptp.function @t169))))) % 5.85/6.13 (assume @p336 (forall @t6 (=> (and @t63 @t59 @t133) (and @t488 @t427 @t426 (tptp.v1_binop_1 @t7 @t3) @t487)))) % 5.85/6.13 (assume @p337 (forall @t6 (=> @t278 (and @t460 @t400 @t399 @t398 @t397)))) % 5.85/6.13 (assume @p338 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t282) (tptp.epsilon_connected @t282) (tptp.ordinal @t282))))) % 5.85/6.13 (assume @p339 (and @t435 @t434)) % 5.85/6.13 (assume @p340 (forall @t15 (=> @t117 (not (tptp.empty @t75))))) % 5.85/6.13 (assume @p341 (forall @t15 (=> (and @t221 @t204 @t325 @t203) @t489))) % 5.85/6.13 (assume @p342 (forall @t6 (=> @t272 (and @t460 @t400 @t399 @t398 @t397 @t485 @t473 (tptp.bounded_relstr @t277) @t459 @t458 (tptp.complete_relstr @t277))))) % 5.85/6.13 (assume @p343 (forall @t15 (=> @t490 (and @t415 (tptp.function @t189))))) % 5.85/6.13 (assume @p344 (forall @t6 (=> (and @t63 @t58 @t133) (and @t488 @t427 @t426 (tptp.v2_binop_1 @t7 @t3) @t487)))) % 5.85/6.13 (assume @p345 (forall @t6 (=> @t491 (tptp.closed_subset @t302 @t1)))) % 5.85/6.13 (assume @p346 (forall @t6 (=> @t493 (not @t492)))) % 5.85/6.13 (assume @p347 (forall @t6 (and @t396 @t496 @t495 @t494))) % 5.85/6.13 (assume @p348 (and @t435 (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))) % 5.85/6.13 (assume @p349 (forall @t6 (=> @t493 (not @t497)))) % 5.85/6.13 (assume @p350 (forall @t15 (=> @t472 @t498))) % 5.85/6.13 (assume @p351 (forall @t6 (=> @t116 (and (not (tptp.empty_carrier @t270)) @t396 @t496 @t495 @t494)))) % 5.85/6.13 (assume @p352 (forall @t6 (=> @t30 (and @t492 (tptp.relation @t183))))) % 5.85/6.13 (assume @p353 (forall @t6 (and @t502 @t401 @t501 @t500 @t499))) % 5.85/6.13 (assume @p354 (forall @t6 (=> @t30 (and @t497 (tptp.relation @t322))))) % 5.85/6.13 (assume @p355 (forall @t6 (and @t502 @t401 @t501 @t500 @t499 (tptp.lower_bounded_relstr @t287) (tptp.upper_bounded_relstr @t287) (tptp.bounded_relstr @t287) (tptp.with_suprema_relstr @t287) (tptp.with_infima_relstr @t287) (tptp.complete_relstr @t287)))) % 5.85/6.13 (assume @p356 (forall @t15 (=> @t438 (tptp.finite @t126)))) % 5.85/6.13 (assume @p357 (forall @t15 (=> @t432 (and (tptp.empty @t348) @t403)))) % 5.85/6.13 (assume @p358 (forall @t15 (=> @t503 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t146 (and @t355 @t175 (= @t1 (tptp.ordered_pair_as_product_element @t172 @t172 @t45 @t141)) (tptp.below_refl @t11 @t45 @t141))))))) % 5.85/6.13 (assume @p359 (forall @t51 (=> (and @t178 @t238) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t505)))) % 5.85/6.13 (assume @p360 (forall @t51 (=> (and @t178 @t381 (tptp.complete_latt_str @t11) @t238) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t505)))) % 5.85/6.13 (assume @p361 (forall @t15 (=> @t104 (forall @t146 (=> (= @t369 (tptp.rel_str_of @t45 @t141)) @t507))))) % 5.85/6.13 (assume @p362 (forall @t51 (=> @t378 (forall @t509 (=> (= @t371 (tptp.latt_str_of @t141 @t163 @t288)) (and @t504 (= @t11 @t163) @t508)))))) % 5.85/6.13 (assume @p363 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 5.85/6.13 (assume @p364 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 5.85/6.13 (assume @p365 (forall @t51 (=> @t137 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 5.85/6.13 (assume @p366 (forall @t51 (=> @t137 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 5.85/6.13 (assume @p367 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t326) @t11)))) % 5.85/6.13 (assume @p368 (forall @t6 (=> @t72 (= (tptp.relation_inverse @t334) @t1)))) % 5.85/6.13 (assume @p369 (forall @t15 (=> @t352 (= (tptp.complements_of_subsets @t1 @t350) @t11)))) % 5.85/6.13 (assume @p370 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 5.85/6.13 (assume @p371 (forall @t6 (=> @t72 (= @t71 (forall @t20 (=> @t510 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 5.85/6.13 (assume @p372 (forall @t6 (not (= @t244 tptp.empty_set)))) % 5.85/6.13 (assume @p373 (forall @t15 (=> @t14 (= (tptp.set_union2 @t244 @t11) @t11)))) % 5.85/6.13 (assume @p374 (forall @t15 (not (and @t511 @t14)))) % 5.85/6.13 (assume @p375 (forall @t15 (=> @t512 @t511))) % 5.85/6.13 (assume @p376 (forall @t15 (=> @t149 (tptp.subset (tptp.relation_dom @t189) @t226)))) % 5.85/6.13 (assume @p377 (forall @t6 (=> @t72 (= @t73 (forall @t230 (=> (and @t229 @t281) @t228)))))) % 5.85/6.13 (assume @p378 (forall @t15 (= (tptp.subset @t244 @t11) @t14))) % 5.85/6.13 (assume @p379 (forall @t15 (=> @t149 (not (and @t513 (tptp.equipotent @t1 @t267) (forall @t108 (=> @t74 (not (tptp.well_orders @t45 @t1))))))))) % 5.85/6.13 (assume @p380 (forall @t15 (= (= @t320 tptp.empty_set) @t151))) % 5.85/6.13 (assume @p381 (forall @t15 (=> @t33 (forall @t108 (=> @t251 @t143))))) % 5.85/6.13 (assume @p382 (forall @t6 (=> @t72 (= @t191 (forall @t161 (=> (and @t229 @t514) @t241)))))) % 5.85/6.13 (assume @p383 (forall @t51 (=> @t151 (or @t143 (tptp.subset @t1 (tptp.set_difference @t11 @t515)))))) % 5.85/6.13 (assume @p384 (forall @t6 (=> @t180 (forall @t20 (=> @t203 (forall @t108 (=> @t120 (= (tptp.in @t45 @t258) @t299)))))))) % 5.85/6.13 (assume @p385 (forall @t6 (=> @t72 (= @t213 (forall @t161 (not (and @t510 (tptp.in @t45 @t190) @t300 @t516 (not @t514)))))))) % 5.85/6.13 (assume @p386 (forall @t15 (= (tptp.subset @t1 @t517) (or @t232 (= @t1 @t517))))) % 5.85/6.13 (assume @p387 (forall @t15 (=> @t14 (tptp.subset @t1 @t518)))) % 5.85/6.13 (assume @p388 (forall @t225 (= (tptp.in @t327 (tptp.cartesian_product2 @t45 @t141)) (and @t519 (tptp.in @t11 @t141))))) % 5.85/6.13 (assume @p389 (forall @t15 (=> @t303 @t520))) % 5.85/6.13 (assume @p390 (forall @t51 (=> @t338 (= @t522 (and (tptp.in @t11 @t317) @t12))))) % 5.85/6.13 (assume @p391 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t112 @t118 @t54 @t53))) % 5.85/6.13 (assume @p392 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52))) % 5.85/6.13 (assume @p393 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t111))) % 5.85/6.13 (assume @p394 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t112 @t54 @t53 @t52 @t111 @t113))) % 5.85/6.13 (assume @p395 (exists @t6 (and @t116 @t69 @t68 @t40 @t80))) % 5.85/6.13 (assume @p396 (exists @t6 (and @t116 @t41))) % 5.85/6.13 (assume @p397 (exists @t6 @t187)) % 5.85/6.13 (assume @p398 (forall @t15 (exists @t108 (and @t50 @t74 @t47 @t46)))) % 5.85/6.13 (assume @p399 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89 @t78))) % 5.85/6.13 (assume @p400 (exists @t6 (and @t116 @t21 @t23 @t25 @t27 @t29))) % 5.85/6.13 (assume @p401 (exists @t6 (and @t5 @t4))) % 5.85/6.13 (assume @p402 (exists @t6 @t95)) % 5.85/6.13 (assume @p403 (exists @t6 (and @t69 @t68 @t40 @t324))) % 5.85/6.13 (assume @p404 (exists @t6 (and @t72 @t44 @t83 @t30))) % 5.85/6.13 (assume @p405 (exists @t6 (and @t72 @t436 @t44))) % 5.85/6.13 (assume @p406 (exists @t6 (and @t30 @t72))) % 5.85/6.13 (assume @p407 (forall @t6 (=> @t116 (exists @t20 (and @t33 @t110))))) % 5.85/6.13 (assume @p408 (forall @t6 (=> @t491 (exists @t20 (and @t203 @t325))))) % 5.85/6.13 (assume @p409 (exists @t6 @t30)) % 5.85/6.13 (assume @p410 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89 @t65 @t77 @t78 @t92))) % 5.85/6.13 (assume @p411 (forall @t6 (exists @t20 (and @t33 @t109 @t149 @t101 @t100 @t39 @t38 @t37 @t28 @t82)))) % 5.85/6.13 (assume @p412 (exists @t6 @t85)) % 5.85/6.13 (assume @p413 (forall @t6 (exists @t20 (and @t104 @t149 @t101 @t100 @t99 @t98 @t97)))) % 5.85/6.13 (assume @p414 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89 @t65 @t77 @t78))) % 5.85/6.13 (assume @p415 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89))) % 5.85/6.13 (assume @p416 (exists @t6 (and @t72 @t44 @t83 @t30 @t69 @t68 @t40))) % 5.85/6.13 (assume @p417 (forall @t15 (exists @t108 (and @t50 @t74 @t47)))) % 5.85/6.13 (assume @p418 (exists @t6 @t493)) % 5.85/6.13 (assume @p419 (forall @t6 (exists @t20 (and @t33 @t109)))) % 5.85/6.13 (assume @p420 (forall @t6 (exists @t20 (and @t33 (not @t523))))) % 5.85/6.13 (assume @p421 (forall @t6 (=> @t491 (exists @t20 (and @t203 @t325 @t331))))) % 5.85/6.13 (assume @p422 (exists @t6 @t116)) % 5.85/6.13 (assume @p423 (exists @t6 (and @t5 @t63 @t91 @t90 @t89 @t65 @t77 @t78 @t106 @t105 @t96))) % 5.85/6.13 (assume @p424 (forall @t6 (=> @t116 (exists @t20 (and @t33 @t110 @t82))))) % 5.85/6.13 (assume @p425 (exists @t6 @t84)) % 5.85/6.13 (assume @p426 (exists @t6 (and @t10 @t9))) % 5.85/6.13 (assume @p427 (exists @t6 (and @t116 @t69 @t68 @t40))) % 5.85/6.13 (assume @p428 (forall @t6 (exists @t20 (and @t104 @t149 @t102 (tptp.symmetric @t11) @t483 @t482 @t103)))) % 5.85/6.13 (assume @p429 (exists @t6 @t437)) % 5.85/6.13 (assume @p430 (exists @t6 (and @t122 @t63))) % 5.85/6.13 (assume @p431 (forall @t6 (=> @t180 (exists @t20 (and @t203 @t110))))) % 5.85/6.13 (assume @p432 (exists @t6 (and @t10 @t63 @t9))) % 5.85/6.13 (assume @p433 (forall @t6 (=> @t491 (exists @t20 (and @t203 @t331))))) % 5.85/6.13 (assume @p434 (forall @t6 (=> @t222 (exists @t20 (and @t203 @t110 @t331))))) % 5.85/6.13 (assume @p435 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55))) % 5.85/6.13 (assume @p436 (forall @t225 (=> @t382 (= @t380 @t144)))) % 5.85/6.13 (assume @p437 (forall @t225 (=> @t385 (= @t383 @t144)))) % 5.85/6.13 (assume @p438 (forall @t6 (= @t387 @t32))) % 5.85/6.13 (assume @p439 (forall @t15 (=> @t72 (= @t388 @t333)))) % 5.85/6.13 (assume @p440 (forall @t225 (=> @t391 (= @t390 @t336)))) % 5.85/6.13 (assume @p441 (forall @t6 (= @t269 @t268))) % 5.85/6.13 (assume @p442 (forall @t395 (=> @t394 (= @t392 (tptp.apply_binary @t141 @t163 @t288))))) % 5.85/6.13 (assume @p443 (forall @t6 (=> @t278 (= @t276 @t346)))) % 5.85/6.13 (assume @p444 (forall @t51 (=> @t123 (= @t119 @t524)))) % 5.85/6.13 (assume @p445 (forall @t51 (=> @t129 (= @t127 @t239)))) % 5.85/6.13 (assume @p446 (forall @t51 (=> @t134 (= @t132 @t196)))) % 5.85/6.13 (assume @p447 (forall @t51 (=> @t50 (= @t234 @t317)))) % 5.85/6.13 (assume @p448 (forall @t51 (=> @t137 (= @t135 @t525)))) % 5.85/6.13 (assume @p449 (forall @t51 (=> @t50 (= @t406 @t316)))) % 5.85/6.13 (assume @p450 (forall @t15 (=> @t352 (= @t407 @t518)))) % 5.85/6.13 (assume @p451 (forall @t51 (=> @t137 (= @t138 @t526)))) % 5.85/6.13 (assume @p452 (forall @t6 (= @t408 @t147))) % 5.85/6.13 (assume @p453 (forall @t15 (=> @t352 (= @t410 @t274)))) % 5.85/6.13 (assume @p454 (forall @t51 (=> @t137 (= @t411 @t527)))) % 5.85/6.13 (assume @p455 (forall @t225 (=> @t414 (= @t413 @t336)))) % 5.85/6.13 (assume @p456 (forall @t225 (=> @t50 (= @t416 (tptp.relation_dom_restriction @t45 @t141))))) % 5.85/6.13 (assume @p457 (forall @t51 (= @t235 @t50))) % 5.85/6.13 (assume @p458 (forall @t15 (=> @t140 (= @t139 @t151)))) % 5.85/6.13 (assume @p459 (forall @t15 (= @t319 (tptp.are_equipotent @t1 @t11)))) % 5.85/6.13 (assume @p460 (forall @t51 (=> @t529 (= @t528 @t298)))) % 5.85/6.13 (assume @p461 (forall @t51 (=> @t530 (= (tptp.related_reflexive @t1 @t11 @t45) @t367)))) % 5.85/6.13 (assume @p462 (forall @t15 (=> @t140 (tptp.ordinal_subset @t1 @t1)))) % 5.85/6.13 (assume @p463 (forall @t15 (tptp.subset @t1 @t1))) % 5.85/6.13 (assume @p464 (forall @t15 (tptp.equipotent @t1 @t1))) % 5.85/6.13 (assume @p465 (forall @t51 (=> @t529 (tptp.below_refl @t1 @t11 @t11)))) % 5.85/6.13 (assume @p466 (forall @t51 (=> @t530 (tptp.related_reflexive @t1 @t11 @t11)))) % 5.85/6.13 (assume @p467 (forall @t15 (=> @t548 (=> @t547 (exists @t108 (and @t74 @t47 (forall @t168 (= @t167 (and @t255 @t255 (exists @t535 (and (= @t141 @t532) (tptp.in @t163 @t532) (forall @t534 (=> @t533 (tptp.in (tptp.ordered_pair @t163 @t531) @t11)))))))))))))) % 5.85/6.13 (assume @p468 (forall @t6 (=> @t551 (exists @t20 (and @t149 @t101 (forall @t146 (= @t145 (and @t143 @t143 (= @t141 @t515))))))))) % 5.85/6.13 (assume @p469 (forall @t15 (=> @t564 (=> @t563 (exists @t108 (and @t74 @t47 (forall @t168 (= @t167 (and @t557 @t557 @t555))))))))) % 5.85/6.13 (assume @p470 (forall @t15 (=> @t564 (=> @t565 (exists @t108 (and @t74 @t47 (forall @t168 (= @t167 (and @t166 @t166 @t555))))))))) % 5.85/6.13 (assume @p471 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t108 (=> @t566 (=> @t143 (tptp.ordinal_subset @t11 @t45))))))))) % 5.85/6.13 (assume @p472 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t590)) (not (and @t256 (forall @t20 (not (and @t12 (forall @t108 (=> (and @t143 @t589) (= @t45 @t11))))))))))) (forall @t156 (=> @t573 (=> @t588 (=> (tptp.in @t587 tptp.omega) (forall @t541 (=> (tptp.element @t538 (tptp.powerset (tptp.powerset @t587))) (not (and (not (= @t538 tptp.empty_set)) (forall @t540 (not (and @t539 (forall @t535 (=> (and (tptp.in @t532 @t538) (tptp.subset @t537 @t532)) (= @t532 @t537)))))))))))))) (forall @t156 (=> @t573 (=> (and (tptp.being_limit_ordinal @t141) (forall @t534 (=> (tptp.ordinal @t531) (=> (tptp.in @t531 @t141) (=> (tptp.in @t531 tptp.omega) (forall @t586 (=> (tptp.element @t582 (tptp.powerset (tptp.powerset @t531))) (not (and (not (= @t582 tptp.empty_set)) (forall @t585 (not (and @t584 (forall @t583 (=> (and (tptp.in @t581 @t582) (tptp.subset @t580 @t581)) (= @t581 @t580))))))))))))))) (or (= @t141 tptp.empty_set) (=> @t572 (forall @t579 (=> (tptp.element @t576 @t570) (not (and (not (= @t576 tptp.empty_set)) (forall @t578 (not (and (tptp.in @t574 @t576) (forall @t577 (=> (and (tptp.in @t575 @t576) (tptp.subset @t574 @t575)) (= @t575 @t574)))))))))))))))) (forall @t156 (=> @t573 (=> @t572 (forall @t571 (=> (tptp.element @t569 @t570) (not (and (not (= @t569 tptp.empty_set)) (forall (@list @t567) (not (and (tptp.in @t567 @t569) (forall (@list @t568) (=> (and (tptp.in @t568 @t569) (tptp.subset @t567 @t568)) (= @t568 @t567))))))))))))))) % 5.85/6.13 (assume @p473 (forall @t51 (=> @t594 (exists @t156 (and @t593 (forall @t291 (= (tptp.in @t289 @t141) (and @t188 @t592 (tptp.in (tptp.ordered_pair @t335 @t591) @t11))))))))) % 5.85/6.13 (assume @p474 (forall @t15 (=> @t548 (=> @t547 (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t188 @t188 (exists @t535 (and (= @t163 @t532) @t596 @t595))))))))))) % 5.85/6.13 (assume @p475 (forall @t15 (=> @t548 (forall @t108 (=> (forall @t509 (=> (and @t536 (exists @t607 (and @t606 @t604 (exists @t540 (and (= @t543 @t537) (tptp.in @t538 @t537) (forall @t535 (=> @t603 (tptp.in (tptp.ordered_pair @t538 @t532) @t11))))))) @t602 (exists @t601 (and (= @t600 @t288) (tptp.in @t531 @t1) (exists @t585 (and (= @t531 @t580) (tptp.in @t582 @t580) (forall @t583 (=> (tptp.in @t581 @t580) (tptp.in (tptp.ordered_pair @t582 @t581) @t11)))))))) @t599)) (exists @t156 (forall @t174 (= @t224 (exists @t347 (and (tptp.in @t288 @t598) @t597 (exists (@list @t576 @t574) (and (= (tptp.ordered_pair @t576 @t574) @t163) (tptp.in @t576 @t1) (exists @t577 (and (= @t576 @t575) (tptp.in @t574 @t575) (forall @t571 (=> (tptp.in @t569 @t575) (tptp.in (tptp.ordered_pair @t574 @t569) @t11))))))))))))))))) % 5.85/6.13 (assume @p476 (forall @t51 (=> @t614 (=> (forall @t509 (=> (and @t536 (exists @t545 (and @t612 (exists @t541 (and @t611 @t610 (tptp.relstr_set_smaller @t1 @t543 @t538))))) @t602 (exists @t540 (and (= @t537 @t288) (exists @t535 (and (tptp.element @t532 @t3) @t609 (tptp.relstr_set_smaller @t1 @t537 @t532)))))) @t599)) (exists @t156 (forall @t174 (= @t224 (exists @t347 (and (tptp.in @t288 @t608) @t597 (exists @t534 (and (= @t531 @t163) (exists @t586 (and (tptp.element @t582 @t3) (tptp.in @t582 @t11) (tptp.relstr_set_smaller @t1 @t531 @t582)))))))))))))) % 5.85/6.13 (assume @p477 (forall @t6 (=> @t551 (exists @t20 (forall @t108 (= @t251 (exists @t156 (and @t255 @t255 (= @t45 (tptp.singleton @t141)))))))))) % 5.85/6.13 (assume @p478 (forall @t15 (=> (forall @t349 (=> (and @t142 (exists @t621 (and (= @t620 @t141) @t592 (= @t543 (tptp.singleton @t288)))) @t619 (exists (@list @t538 @t537) (and (= (tptp.ordered_pair @t538 @t537) @t163) @t618 (= @t537 (tptp.singleton @t538))))) @t536)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t75) @t617 (exists @t616 (and (= @t615 @t141) (tptp.in @t532 @t1) (= @t531 (tptp.singleton @t532)))))))))))) % 5.85/6.13 (assume @p479 (forall @t6 (=> @t40 (=> (forall @t230 (=> (and @t241 (exists @t174 (and @t623 @t619 (=> (tptp.in @t163 tptp.omega) (forall @t347 (=> (tptp.element @t288 (tptp.powerset (tptp.powerset @t163))) @t622))))) @t279 (exists @t540 (and (tptp.ordinal @t537) (= @t141 @t537) (=> (tptp.in @t537 tptp.omega) (forall @t535 (=> (tptp.element @t532 (tptp.powerset (tptp.powerset @t537))) (not (and (not (= @t532 tptp.empty_set)) (forall @t534 (not (and @t533 (forall @t586 (=> (and (tptp.in @t582 @t532) (tptp.subset @t531 @t582)) (= @t582 @t531)))))))))))))) @t142)) (exists @t20 (forall @t108 (= @t251 (exists @t156 (and (tptp.in @t141 @t245) @t340 (exists @t585 (and (tptp.ordinal @t580) (= @t45 @t580) (=> (tptp.in @t580 tptp.omega) (forall @t583 (=> (tptp.element @t581 (tptp.powerset (tptp.powerset @t580))) (not (and (not (= @t581 tptp.empty_set)) (forall @t579 (not (and (tptp.in @t576 @t581) (forall @t578 (=> (and (tptp.in @t574 @t581) (tptp.subset @t576 @t574)) (= @t574 @t576)))))))))))))))))))))) % 5.85/6.13 (assume @p480 (forall @t15 (=> @t472 (=> (forall @t349 (=> (and @t142 (exists @t347 (and @t561 @t626 (tptp.closed_subset @t288 @t1) @t624)) @t619 (exists @t545 (and @t558 @t612 (tptp.closed_subset @t543 @t1) (tptp.subset @t11 @t163)))) @t536)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t625 @t617 (exists @t541 (and @t554 @t553 (tptp.closed_subset @t538 @t1) @t624))))))))))) % 5.85/6.13 (assume @p481 (forall @t15 (=> @t628 (=> (forall @t349 (=> (and @t142 @t627 @t619 (tptp.in (tptp.set_difference @t302 @t163) @t11)) @t536)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t625 @t617 @t627))))))))) % 5.85/6.13 (assume @p482 (forall @t15 (=> @t630 (=> (forall @t349 (=> (and @t142 (exists @t347 (and @t290 (= @t141 (tptp.set_difference @t288 @t244)))) @t619 (exists @t545 (and @t629 (= @t163 (tptp.set_difference @t543 @t244))))) @t536)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t32) @t617 (exists @t541 (and @t610 (= @t141 (tptp.set_difference @t538 @t244))))))))))))) % 5.85/6.13 (assume @p483 (forall @t15 (=> @t564 (=> @t563 (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t633 @t633 @t632))))))))) % 5.85/6.13 (assume @p484 (forall @t15 (=> @t564 (forall @t108 (=> (forall @t509 (=> (and @t536 (exists @t607 (and @t606 (tptp.in @t543 @t556) @t642)) @t602 (exists @t616 (and @t639 (tptp.in @t532 @t556) @t638))) @t599)) (exists @t156 (forall @t174 (= @t224 (exists @t347 (and (tptp.in @t288 @t637) @t597 (exists @t636 (and @t635 (tptp.in @t580 @t556) @t634)))))))))))) % 5.85/6.13 (assume @p485 (forall @t15 (=> @t564 (=> @t565 (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t182 @t182 @t632))))))))) % 5.85/6.13 (assume @p486 (forall @t15 (=> @t564 (forall @t108 (=> (forall @t509 (=> (and @t536 (exists @t607 (and @t606 @t629 @t642)) @t602 (exists @t616 (and @t639 @t609 @t638))) @t599)) (exists @t156 (forall @t174 (= @t224 (exists @t347 (and (tptp.in @t288 @t643) @t597 (exists @t636 (and @t635 (tptp.in @t580 @t11) @t634)))))))))))) % 5.85/6.13 (assume @p487 (forall @t51 (=> @t594 (=> (forall @t509 (=> (and @t536 (exists @t607 (and (= @t163 @t605) (tptp.in (tptp.ordered_pair @t644 (tptp.apply @t45 @t538)) @t11))) @t602 (exists (@list @t537 @t532) (and (= @t288 (tptp.ordered_pair @t537 @t532)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t537) (tptp.apply @t45 @t532)) @t11)))) @t599)) (exists @t156 (forall @t174 (= @t224 (exists @t347 (and (tptp.in @t288 @t373) @t597 (exists @t601 (and (= @t163 @t600) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t531) (tptp.apply @t45 @t582)) @t11)))))))))))) % 5.85/6.13 (assume @p488 (forall @t6 (=> (forall @t230 (=> (and @t241 @t566 @t279 @t573) @t142)) (exists @t20 (forall @t108 (= @t251 (exists @t156 (and @t255 @t340 @t566)))))))) % 5.85/6.13 (assume @p489 (forall @t51 (=> @t647 (=> (forall @t509 (=> (and @t536 @t645 @t602 (tptp.in (tptp.relation_image @t45 @t288) @t11)) @t599)) (exists @t156 (forall @t174 (= @t224 (exists @t347 (and (tptp.in @t288 @t646) @t597 @t645))))))))) % 5.85/6.13 (assume @p490 (forall @t15 (=> @t37 (=> (forall @t349 (=> (and @t142 (exists @t347 (and (tptp.ordinal @t288) @t602 @t592)) @t619 (exists @t545 (and (tptp.ordinal @t543) (= @t163 @t543) @t604))) @t536)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t648) @t617 (exists @t541 (and (tptp.ordinal @t538) (= @t141 @t538) @t618))))))))))) % 5.85/6.13 (assume @p491 (forall @t15 (=> @t548 (forall @t108 (exists @t156 (forall @t174 (= @t224 (and (tptp.in @t163 @t598) (exists @t621 (and @t649 @t592 (exists @t541 (and (= @t288 @t538) (tptp.in @t543 @t538) (forall @t540 (=> @t539 (tptp.in (tptp.ordered_pair @t543 @t537) @t11))))))))))))))) % 5.85/6.13 (assume @p492 (forall @t51 (=> @t614 (exists @t156 (forall @t174 (= @t224 (and (tptp.in @t163 @t608) (exists @t347 (and @t597 @t650))))))))) % 5.85/6.13 (assume @p493 (forall @t15 (exists @t108 (forall @t156 (= @t184 (and (tptp.in @t141 @t75) (exists @t291 (and (= @t289 @t141) @t188 (= @t288 @t651))))))))) % 5.85/6.13 (assume @p494 (forall @t6 (=> @t40 (exists @t20 (forall @t108 (= @t251 (and (tptp.in @t45 @t245) (exists @t156 (and @t573 @t142 @t588))))))))) % 5.85/6.13 (assume @p495 (forall @t15 (=> @t472 (exists @t108 (forall @t156 (= @t184 (and @t653 @t652))))))) % 5.85/6.13 (assume @p496 (forall @t15 (=> @t628 (exists @t108 (forall @t156 (= @t184 (and @t653 @t627))))))) % 5.85/6.13 (assume @p497 (forall @t15 (=> @t630 (exists @t108 (forall @t156 (= @t184 (and (tptp.in @t141 @t32) (exists @t174 (and @t182 (= @t141 (tptp.set_difference @t163 @t244))))))))))) % 5.85/6.13 (assume @p498 (forall @t15 (=> @t564 (forall @t108 (exists @t156 (forall @t174 (= @t224 (and (tptp.in @t163 @t637) (exists @t621 (and @t649 (tptp.in @t288 @t556) @t654)))))))))) % 5.85/6.13 (assume @p499 (forall @t15 (=> @t564 (forall @t108 (exists @t156 (forall @t174 (= @t224 (and (tptp.in @t163 @t643) (exists @t621 (and @t649 @t290 @t654)))))))))) % 5.85/6.13 (assume @p500 (forall @t51 (=> @t594 (exists @t156 (forall @t174 (= @t224 (and (tptp.in @t163 @t373) (exists @t621 (and (= @t163 @t620) (tptp.in (tptp.ordered_pair @t591 @t644) @t11)))))))))) % 5.85/6.13 (assume @p501 (forall @t6 (exists @t20 (forall @t108 (= @t251 (and @t143 @t566)))))) % 5.85/6.13 (assume @p502 (forall @t51 (=> @t647 (exists @t156 (forall @t174 (= @t224 (and (tptp.in @t163 @t646) @t645))))))) % 5.85/6.13 (assume @p503 (forall @t15 (=> @t37 (exists @t108 (forall @t156 (= @t184 (and (tptp.in @t141 @t648) (exists @t174 (and @t623 @t536 @t188))))))))) % 5.85/6.13 (assume @p504 (forall @t51 (=> @t614 (=> (and @t292 (exists @t156 (and @t155 @t166 (tptp.relstr_set_smaller @t1 tptp.empty_set @t141))) (forall @t291 (=> (and @t655 (tptp.subset @t288 @t45) @t650) (exists @t541 (and @t611 @t610 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t288 @t651) @t538)))))) (exists @t540 (and (tptp.element @t537 @t3) (tptp.in @t537 @t11) (tptp.relstr_set_smaller @t1 @t45 @t537))))))) % 5.85/6.13 (assume @p505 (forall @t15 (=> @t548 (=> (and (forall @t349 (=> (and @t143 @t546 @t542) @t536)) (forall @t108 (not (and @t143 (forall @t156 (not (exists @t535 (and (= @t45 @t532) @t596 @t595)))))))) (exists @t108 (and @t74 @t47 @t318 (forall @t156 (=> @t255 (exists @t586 (and (= @t141 @t582) (tptp.in @t336 @t582) (forall @t585 (=> @t584 (tptp.in (tptp.ordered_pair @t336 @t580) @t11))))))))))))) % 5.85/6.13 (assume @p506 (forall @t6 (=> (and (forall @t230 (=> (and @t12 @t550 @t549) @t142)) (forall @t20 (not (and @t12 (forall @t108 (not @t550)))))) @t658))) % 5.85/6.13 (assume @p507 (forall @t15 (=> @t564 (=> (and (forall @t349 (=> (and @t560 @t562 @t559) @t536)) (forall @t108 (not (and @t560 @t660)))) (exists @t108 (and @t74 @t47 (= @t317 @t556) (forall @t156 (=> @t557 @t659)))))))) % 5.85/6.13 (assume @p508 (forall @t15 (=> @t564 (=> (and (forall @t349 (=> (and @t251 @t562 @t559) @t536)) (forall @t108 (not (and @t251 @t660)))) (exists @t108 (and @t74 @t47 (= @t317 @t11) (forall @t156 (=> @t166 @t659)))))))) % 5.85/6.13 (assume @p509 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t108 (=> (tptp.element @t45 (tptp.powerset @t405)) (not (and @t304 (forall @t156 (not (and @t184 (forall @t174 (=> (and @t655 (tptp.subset @t141 @t163)) @t617))))))))))))) (=> @t661 (forall @t347 (=> (tptp.element @t288 @t351) @t622)))))) (forall @t6 (=> @t40 (=> @t661 (forall @t540 (=> (tptp.element @t537 @t351) (not (and (not (= @t537 tptp.empty_set)) (forall @t535 (not (and @t603 (forall @t534 (=> (and (tptp.in @t531 @t537) (tptp.subset @t532 @t531)) (= @t531 @t532))))))))))))))) % 5.85/6.13 (assume @p510 (forall @t6 @t658)) % 5.85/6.13 (assume @p511 (forall @t15 (=> @t472 (exists @t108 (and @t294 (forall @t156 (=> @t662 (= @t184 @t652)))))))) % 5.85/6.13 (assume @p512 (forall @t15 (=> @t628 (exists @t108 (and @t294 (forall @t156 (=> @t662 (= @t184 @t627)))))))) % 5.85/6.13 (assume @p513 (forall @t15 (=> @t339 (tptp.disjoint @t11 @t1)))) % 5.85/6.13 (assume @p514 (forall @t15 (=> @t319 (tptp.equipotent @t11 @t1)))) % 5.85/6.13 (assume @p515 (forall @t6 (tptp.in @t1 @t245))) % 5.85/6.13 (assume @p516 (forall @t15 (=> @t352 (and @t664 (not (and (not @t663) @t233)))))) % 5.85/6.13 (assume @p517 (forall @t225 (not (and (= @t124 (tptp.unordered_pair @t45 @t141)) (not @t506) (not @t504))))) % 5.85/6.13 (assume @p518 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t316)))))) % 5.85/6.13 (assume @p519 (forall @t15 (=> @t149 (tptp.subset @t665 @t1)))) % 5.85/6.13 (assume @p520 (forall @t15 (=> @t149 (tptp.subset @t189 @t11)))) % 5.85/6.13 (assume @p521 (forall @t15 (=> @t149 (tptp.subset @t665 @t227)))) % 5.85/6.13 (assume @p522 (forall @t51 (=> @t151 (and (tptp.subset @t598 @t643) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 5.85/6.13 (assume @p523 (forall @t15 (=> @t149 (= @t665 (tptp.set_intersection2 @t227 @t1))))) % 5.85/6.13 (assume @p524 (forall @t225 (=> (and @t151 @t266) (tptp.subset @t598 (tptp.cartesian_product2 @t11 @t141))))) % 5.85/6.13 (assume @p525 (forall @t15 (=> @t352 (=> @t275 (= @t666 (tptp.subset_complement @t1 @t407)))))) % 5.85/6.13 (assume @p526 (forall @t51 (=> @t235 (and (tptp.subset @t317 @t1) (tptp.subset @t316 @t11))))) % 5.85/6.13 (assume @p527 (forall @t15 (=> @t352 (=> @t275 (= @t667 (tptp.subset_complement @t1 @t410)))))) % 5.85/6.13 (assume @p528 (forall @t15 (=> @t151 (= @t126 @t11)))) % 5.85/6.13 (assume @p529 (forall @t6 (exists @t20 (and @t14 @t669 (forall @t108 (=> @t251 (tptp.in @t608 @t11))) @t668)))) % 5.85/6.13 (assume @p530 (forall @t6 (=> @t222 (= @t296 (forall @t20 (=> @t250 (not (and (tptp.centered @t11) @t285 (= @t670 tptp.empty_set))))))))) % 5.85/6.13 (assume @p531 (forall @t15 (=> (and @t151 @t82) @t41))) % 5.85/6.13 (assume @p532 (forall @t6 (=> @t122 (forall @t20 (=> @t250 (= (tptp.finite @t556) @t82)))))) % 5.85/6.13 (assume @p533 (forall @t51 (=> @t74 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t671))))) % 5.85/6.13 (assume @p534 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t156 (and (tptp.in @t141 @t317) (tptp.in (tptp.ordered_pair @t141 @t1) @t45) @t166)))))) % 5.85/6.13 (assume @p535 (forall @t15 (=> @t149 (tptp.subset @t672 @t227)))) % 5.85/6.13 (assume @p536 (forall @t15 (=> @t490 (tptp.subset @t674 @t1)))) % 5.85/6.13 (assume @p537 (forall @t15 (=> @t149 (= @t672 (tptp.relation_image @t11 @t675))))) % 5.85/6.13 (assume @p538 (forall @t15 (=> @t149 (=> (tptp.subset @t1 @t226) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t672)))))) % 5.85/6.13 (assume @p539 (forall @t6 (=> @t72 (= (tptp.relation_image @t1 @t183) @t322)))) % 5.85/6.13 (assume @p540 (forall @t15 (=> @t490 (=> @t676 (= @t674 @t1))))) % 5.85/6.13 (assume @p541 (forall @t225 (=> @t679 (=> (tptp.subset @t678 @t11) @t677)))) % 5.85/6.13 (assume @p542 (forall @t6 (=> @t122 (forall @t20 (=> @t203 (= (tptp.subset_intersection2 @t3 @t11 @t302) @t11)))))) % 5.85/6.13 (assume @p543 (forall @t6 (=> @t680 (forall @t20 (= @t345 (exists @t108 (and @t120 @t344 @t343))))))) % 5.85/6.13 (assume @p544 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= @t681 (tptp.relation_image @t11 @t322))))))) % 5.85/6.13 (assume @p545 (forall @t51 (=> @t74 (= (tptp.in @t1 @t682) (exists @t156 (and (tptp.in @t141 @t316) (tptp.in (tptp.ordered_pair @t1 @t141) @t45) @t166)))))) % 5.85/6.13 (assume @p546 (forall @t15 (=> @t149 (tptp.subset @t673 @t226)))) % 5.85/6.13 (assume @p547 (forall @t225 (=> @t679 (=> @t151 @t677)))) % 5.85/6.13 (assume @p548 (forall @t6 (=> @t204 (forall @t20 (=> @t250 (= @t285 (tptp.open_subsets @t556 @t1))))))) % 5.85/6.13 (assume @p549 (forall @t51 (=> @t74 (= (tptp.in @t1 @t683) (and @t519 (tptp.in @t1 @t332)))))) % 5.85/6.13 (assume @p550 (forall @t6 (=> @t680 (forall @t20 (= @t160 (exists @t108 (and @t120 @t158 @t157))))))) % 5.85/6.13 (assume @p551 (forall @t15 (=> @t149 (not (and @t256 @t676 (= @t673 tptp.empty_set)))))) % 5.85/6.13 (assume @p552 (forall @t51 (=> @t74 (=> @t151 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t682))))) % 5.85/6.13 (assume @p553 (forall @t15 (=> @t490 (=> @t41 (tptp.finite @t672))))) % 5.85/6.13 (assume @p554 (forall @t6 (=> @t122 (forall @t20 (=> @t203 (= @t258 @t330)))))) % 5.85/6.13 (assume @p555 (forall @t6 (=> @t204 (forall @t20 (=> @t250 (= @t261 (tptp.closed_subsets @t556 @t1))))))) % 5.85/6.13 (assume @p556 (forall @t15 (=> @t149 (= @t684 (tptp.relation_dom_restriction @t189 @t1))))) % 5.85/6.13 (assume @p557 (forall @t15 (tptp.subset @t131 @t1))) % 5.85/6.13 (assume @p558 (forall @t6 (=> @t41 (forall @t20 (=> @t352 (not (and @t275 (forall @t108 (not (and @t251 (forall @t156 (=> (and @t166 @t266) @t340)))))))))))) % 5.85/6.13 (assume @p559 (forall @t15 (=> @t149 (= @t684 (tptp.relation_rng_restriction @t1 @t685))))) % 5.85/6.13 (assume @p560 (forall @t6 (= (tptp.bottom_of_relstr @t287) tptp.empty_set))) % 5.85/6.13 (assume @p561 (forall @t51 (=> @t74 (=> (tptp.in @t1 (tptp.relation_field @t683)) (and @t687 @t14))))) % 5.85/6.13 (assume @p562 (forall @t51 (=> (and @t151 @t688) (tptp.subset @t1 @t526)))) % 5.85/6.13 (assume @p563 @t695) % 5.85/6.13 (assume @p564 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 5.85/6.13 (assume @p565 (forall @t15 (=> @t698 (forall @t108 (=> @t697 (and (= (tptp.join @t237 @t11 @t45) @t525) (= (tptp.meet @t237 @t11 @t45) @t526))))))) % 5.85/6.13 (assume @p566 (forall @t15 (=> @t14 @t699))) % 5.85/6.13 (assume @p567 (forall @t6 (=> (and @t63 @t90 @t5) (forall @t20 (=> @t203 (= (and @t110 @t264) (forall @t108 (=> (and @t292 @t613) (exists @t156 (and @t155 @t166 @t700)))))))))) % 5.85/6.13 (assume @p568 (forall @t51 (=> (and @t151 @t589) @t688))) % 5.85/6.13 (assume @p569 (forall @t6 (and (= (tptp.the_carrier @t270) @t1) (= (tptp.the_InternalRel @t270) @t269)))) % 5.85/6.13 (assume @p570 (= @t590 (tptp.singleton tptp.empty_set))) % 5.85/6.13 (assume @p571 (forall @t51 (=> @t74 (=> @t702 (and @t701 (tptp.in @t11 @t316)))))) % 5.85/6.13 (assume @p572 (forall @t15 (=> @t149 (and (tptp.subset @t703 @t267) (tptp.subset @t703 @t1))))) % 5.85/6.13 (assume @p573 (forall @t15 (=> @t490 (forall @t108 (=> @t338 (= @t706 (and @t701 (tptp.in @t704 @t226)))))))) % 5.85/6.13 (assume @p574 (forall @t225 (=> @t708 (forall @t174 (=> (and (tptp.relation @t163) (tptp.function @t163)) (=> @t143 (or @t233 (= (tptp.apply (tptp.relation_composition @t141 @t163) @t45) (tptp.apply @t163 @t707))))))))) % 5.85/6.13 (assume @p575 (forall @t6 (=> @t69 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 5.85/6.13 (assume @p576 (forall @t6 (=> @t72 (tptp.subset @t1 (tptp.cartesian_product2 @t183 @t322))))) % 0.54/6.13 (assume @p577 (forall @t51 (=> @t74 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 0.54/6.13 (assume @p578 (forall @t15 (=> @t490 (forall @t108 (=> @t338 (=> @t706 (= (tptp.apply @t705 @t1) (tptp.apply @t11 @t704)))))))) % 0.54/6.13 (assume @p579 (forall @t6 (=> @t122 (forall @t20 (=> @t203 (= (tptp.subset_difference @t3 @t302 @t330) @t11)))))) % 0.54/6.13 (assume @p580 (forall @t51 (=> (tptp.relation_of2_as_subset @t45 @t11 @t1) (= (forall @t156 (not (and @t166 (forall @t174 (not @t167))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t45) @t11))))) % 0.54/6.13 (assume @p581 (forall @t15 (=> @t149 (=> @t102 (tptp.reflexive @t684))))) % 0.54/6.13 (assume @p582 (forall @t15 (=> @t490 (forall @t108 (=> @t338 (=> (tptp.in @t1 @t226) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 0.54/6.13 (assume @p583 (forall @t6 (=> (and @t63 @t59 @t57 @t10) (forall @t20 (=> @t121 (forall @t108 (=> @t120 (tptp.below @t1 @t132 @t11)))))))) % 0.54/6.13 (assume @p584 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 0.54/6.13 (assume @p585 (forall @t51 (=> @t235 (= (forall @t156 (not (and @t166 (forall @t174 (not (tptp.in @t205 @t45)))))) (= @t406 @t11))))) % 0.54/6.13 (assume @p586 (forall @t15 (=> @t149 (=> @t709 (tptp.connected @t684))))) % 0.54/6.13 (assume @p587 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t512 @t356 @t13))))))) % 0.54/6.13 (assume @p588 (forall @t15 (=> @t149 (=> @t482 (tptp.transitive @t684))))) % 0.54/6.13 (assume @p589 (forall @t6 (=> @t680 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (=> (and @t367 (tptp.related @t1 @t45 @t11)) @t241)))))))) % 0.54/6.13 (assume @p590 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (=> @t151 (and (tptp.subset @t183 @t226) (tptp.subset @t322 @t227)))))))) % 0.54/6.13 (assume @p591 (forall @t15 (=> @t149 (=> @t483 (tptp.antisymmetric @t684))))) % 0.54/6.13 (assume @p592 (forall @t15 (=> @t149 (=> @t712 (and @t711 @t710))))) % 0.54/6.13 (assume @p593 (forall @t6 (=> @t187 (=> (tptp.finite @t183) (tptp.finite @t322))))) % 0.54/6.13 (assume @p594 (forall @t6 (=> @t471 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (=> (and @t298 (tptp.below @t1 @t45 @t11)) @t241)))))))) % 0.54/6.13 (assume @p595 (forall @t6 (=> (and @t90 @t5) (forall @t20 (=> @t121 (forall @t108 (=> @t120 (forall @t156 (=> @t155 (=> (and @t367 @t342) @t713)))))))))) % 0.54/6.13 (assume @p596 (forall @t6 (exists @t20 (and @t149 @t712)))) % 0.54/6.13 (assume @p597 (forall @t51 (=> @t151 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t526)))) % 0.54/6.13 (assume @p598 (forall @t15 (=> @t503 (forall @t108 (=> @t355 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t715 @t1 @t714))))))) % 0.54/6.13 (assume @p599 (forall @t6 (=> @t116 (not (and (forall @t20 (not (and @t12 @t233))) (forall @t20 (=> @t490 (not (and @t657 (forall @t108 (=> @t143 (tptp.in @t656 @t45)))))))))))) % 0.54/6.13 (assume @p600 (forall @t15 (=> @t151 (= @t131 @t1)))) % 0.54/6.13 (assume @p601 (forall @t15 (=> @t503 (forall @t108 (=> @t717 (= (tptp.relstr_element_smaller @t715 @t1 @t45) (tptp.latt_set_smaller @t11 @t716 @t1))))))) % 0.54/6.13 (assume @p602 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t331 @t484)))))) % 0.54/6.13 (assume @p603 (forall @t6 (=> @t272 (forall @t20 (and (= @t271 (tptp.join_on_relstr @t277 @t11)) (= @t273 (tptp.meet_on_relstr @t277 @t11))))))) % 0.54/6.13 (assume @p604 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.54/6.13 (assume @p605 (forall @t15 (=> @t698 (forall @t108 (=> @t697 (= (tptp.below @t237 @t11 @t45) @t589)))))) % 0.54/6.13 (assume @p606 (forall @t15 (=> @t699 (or @t109 @t14)))) % 0.54/6.13 (assume @p607 (forall @t15 (=> (forall @t108 (= @t143 @t251)) @t152))) % 0.54/6.13 (assume @p608 (forall @t6 (tptp.reflexive @t268))) % 0.54/6.13 (assume @p609 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 0.54/6.13 (assume @p610 (forall @t15 (=> (tptp.element @t11 @t718) (forall @t108 (=> (tptp.element @t45 @t718) (= (tptp.related_reflexive @t287 @t11 @t45) @t589)))))) % 0.54/6.13 (assume @p611 (forall @t15 (=> @t503 (forall @t108 (=> @t355 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t715 @t1 @t714))))))) % 0.54/6.13 (assume @p612 (forall @t51 (=> @t74 (=> @t702 (and @t687 (tptp.in @t11 @t686)))))) % 0.54/6.13 (assume @p613 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t325 @t489)))))) % 0.54/6.13 (assume @p614 (forall @t6 (=> @t680 (forall @t20 (=> @t121 (forall @t108 (and (=> @t719 @t720) (=> @t720 @t719)))))))) % 0.54/6.13 (assume @p615 (forall @t15 (=> @t503 (forall @t108 (=> @t717 (= (tptp.relstr_set_smaller @t715 @t1 @t45) (tptp.latt_element_smaller @t11 @t716 @t1))))))) % 0.54/6.13 (assume @p616 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t150))) @t40))) % 0.54/6.13 (assume @p617 (forall @t15 (=> @t149 (=> @t721 (tptp.well_founded_relation @t684))))) % 0.54/6.13 (assume @p618 (forall @t6 (=> @t278 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t346) @t528)))))))) % 0.54/6.13 (assume @p619 (forall @t15 (=> @t37 (not (and @t151 @t256 (forall @t108 (=> @t566 (not (and @t143 (forall @t156 (=> @t573 (=> @t255 (tptp.ordinal_subset @t45 @t141))))))))))))) % 0.54/6.13 (assume @p620 (forall @t15 (=> @t149 (=> @t513 @t710)))) % 0.54/6.13 (assume @p621 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t245 @t11))))))) % 0.54/6.13 (assume @p622 (forall @t51 (=> @t151 (tptp.subset (tptp.set_difference @t1 @t45) @t527)))) % 0.54/6.13 (assume @p623 (forall @t225 (=> (= @t327 @t144) @t507))) % 0.54/6.13 (assume @p624 (forall @t15 (=> @t490 (= @t148 (and @t657 (forall @t108 (=> @t143 (= @t656 @t45)))))))) % 0.54/6.13 (assume @p625 (forall @t6 (=> @t272 (forall @t20 (=> @t121 (forall @t108 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t215 (forall @t156 (=> @t155 (=> (tptp.latt_set_smaller @t1 @t141 @t45) (tptp.below_refl @t1 @t141 @t11)))))))))))) % 0.54/6.13 (assume @p626 (forall @t15 (=> @t12 (= (tptp.apply @t147 @t11) @t11)))) % 0.54/6.13 (assume @p627 (forall @t15 (tptp.subset @t320 @t1))) % 0.54/6.13 (assume @p628 (forall @t6 (=> @t72 (and (= @t322 (tptp.relation_dom @t334)) (= @t183 (tptp.relation_rng @t334)))))) % 0.54/6.13 (assume @p629 (forall @t51 (= (tptp.subset @t124 @t45) (and @t519 @t301)))) % 0.54/6.13 (assume @p630 (forall @t15 (=> @t149 (=> (and @t513 (tptp.subset @t1 @t267)) @t711)))) % 0.54/6.13 (assume @p631 (forall @t15 (= @t722 @t126))) % 0.54/6.13 (assume @p632 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.54/6.13 (assume @p633 (forall @t6 (and @t445 (= (tptp.bottom_of_semilattstr @t237) tptp.empty_set)))) % 0.54/6.13 (assume @p634 (forall @t51 (not (and @t14 @t301 @t143)))) % 0.54/6.13 (assume @p635 (forall @t15 (= @t520 @t151))) % 0.54/6.13 (assume @p636 (forall @t6 (tptp.transitive @t268))) % 0.54/6.13 (assume @p637 (forall @t15 (and (not (and @t724 (forall @t108 (not @t723)))) (not (and (exists @t108 @t723) @t339))))) % 0.54/6.13 (assume @p638 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t232))) % 0.54/6.13 (assume @p639 (forall @t15 (= (tptp.set_difference @t126 @t11) @t320))) % 0.54/6.13 (assume @p640 (forall @t6 (=> @t40 (= @t324 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t648 @t1)))))))) % 0.54/6.13 (assume @p641 (forall @t6 (=> @t40 (and (not (and (not @t324) (forall @t20 (=> @t37 (not @t725))))) (not (and (exists @t20 (and @t37 @t725)) @t324)))))) % 0.54/6.13 (assume @p642 (forall @t6 (=> @t726 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 0.54/6.13 (assume @p643 (forall @t15 (=> @t33 (forall @t108 (=> @t136 (= @t728 (tptp.subset @t11 @t727))))))) % 0.54/6.13 (assume @p644 (forall @t6 (=> @t491 (forall @t20 (=> @t250 (=> @t284 (tptp.closed_subset @t670 @t1))))))) % 0.54/6.13 (assume @p645 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (tptp.subset @t729 @t183)))))) % 0.54/6.13 (assume @p646 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (tptp.subset @t259 @t11)))))) % 0.54/6.13 (assume @p647 (forall @t6 (=> @t726 (forall @t20 (=> @t121 (tptp.related @t1 @t181 @t11)))))) % 0.54/6.13 (assume @p648 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (forall @t108 (=> (tptp.in @t45 @t3) (= @t731 (forall @t156 (=> @t662 (=> @t730 @t254))))))))))) % 0.54/6.13 (assume @p649 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (tptp.subset @t681 @t227)))))) % 0.54/6.13 (assume @p650 (forall @t15 (=> @t151 (= @t11 @t722)))) % 0.54/6.13 (assume @p651 (forall @t225 (=> @t708 (=> @t275 (forall @t174 (= (tptp.in @t163 (tptp.relation_inverse_image @t141 @t45)) (and @t188 (tptp.in (tptp.apply @t141 @t163) @t45)))))))) % 0.54/6.13 (assume @p652 (forall @t6 (=> @t491 (forall @t20 (=> @t203 (exists @t108 (and @t294 (forall @t156 (=> @t662 (= @t184 @t730))) (= @t201 (tptp.meet_of_subsets @t3 @t45))))))))) % 0.54/6.13 (assume @p653 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (=> (tptp.subset @t322 @t226) (= @t729 @t183))))))) % 0.54/6.13 (assume @p654 (forall @t15 (=> @t352 @t664))) % 0.54/6.13 (assume @p655 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (=> (tptp.subset @t183 @t227) (= (tptp.relation_rng @t431) @t322))))))) % 0.54/6.13 (assume @p656 (forall @t15 (=> @t352 (=> @t275 (= (tptp.subset_difference @t1 @t314 @t407) @t666))))) % 0.54/6.13 (assume @p657 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (tptp.subset @t11 @t201)))))) % 0.54/6.13 (assume @p658 (forall @t15 (=> @t352 (=> @t275 (= @t667 (tptp.subset_difference @t1 @t314 @t410)))))) % 0.54/6.13 (assume @p659 (forall @t15 (= (tptp.set_difference @t1 @t320) @t131))) % 0.54/6.13 (assume @p660 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t338 (=> @t337 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 0.54/6.13 (assume @p661 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.54/6.13 (assume @p662 (forall @t51 (=> (and @t14 @t732) (tptp.element @t1 @t45)))) % 0.54/6.13 (assume @p663 (forall @t6 (=> @t40 (tptp.connected @t268)))) % 0.54/6.13 (assume @p664 (forall @t15 (and (not (and @t724 (forall @t108 (not @t733)))) (not (and (exists @t108 @t733) @t339))))) % 0.54/6.13 (assume @p665 (forall @t6 (= @t287 (tptp.incl_POSet @t32)))) % 0.54/6.13 (assume @p666 (forall @t6 (=> @t272 (and @t63 @t55 @t54 @t10 (= @t217 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 0.54/6.13 (assume @p667 (forall @t6 (=> @t256 (forall @t20 (=> @t33 (forall @t108 (=> @t384 (=> @t299 (tptp.in @t45 @t326))))))))) % 0.54/6.13 (assume @p668 (forall @t6 (=> @t491 (forall @t20 (=> @t203 @t498))))) % 0.54/6.13 (assume @p669 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (and (=> @t331 @t734) (=> (and @t221 @t734) @t331))))))) % 0.54/6.13 (assume @p670 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t338 (=> @t337 (and (=> @t71 @t102) (=> @t73 @t482) (=> @t213 @t709) (=> @t191 @t483) (=> @t286 @t721)))))))))) % 0.54/6.13 (assume @p671 (forall @t6 (=> @t187 (=> @t83 (forall @t20 (=> @t490 (= (= @t11 @t366) (and (= @t226 @t322) (forall @t146 (and (=> @t735 @t321) (=> @t321 @t735))))))))))) % 0.54/6.13 (assume @p672 (forall @t51 (=> @t136 (not (and (tptp.in @t11 @t727) @t301))))) % 0.54/6.13 (assume @p673 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t338 (=> (and @t315 @t337) @t513)))))))) % 0.54/6.13 (assume @p674 (forall @t6 (=> @t187 (=> @t83 (and (= @t322 (tptp.relation_dom @t366)) (= @t183 (tptp.relation_rng @t366))))))) % 0.54/6.13 (assume @p675 (forall @t6 (=> @t491 (forall @t20 (=> (tptp.top_str @t11) (forall @t108 (=> @t202 (forall @t156 (=> (tptp.element @t141 (tptp.powerset @t172)) (and (=> (tptp.open_subset @t141 @t11) (= (tptp.interior @t11 @t141) @t141)) (=> (= @t219 @t45) @t260))))))))))) % 0.54/6.13 (assume @p676 (forall @t6 (=> @t72 (=> (forall @t161 @t516) @t232)))) % 0.54/6.13 (assume @p677 (forall @t15 (=> @t490 (=> (and @t100 (tptp.in @t1 @t227)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t736 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t736 @t11) @t1))))))) % 0.54/6.13 (assume @p678 (forall @t6 (=> @t222 (forall @t20 (=> @t203 (forall @t108 (=> @t120 (=> (and @t325 @t251) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 0.54/6.13 (assume @p679 (forall @t51 (not (and @t14 @t732 @t115)))) % 0.54/6.13 (assume @p680 (forall @t15 (=> @t33 (= @t523 (not (= @t11 @t1)))))) % 0.54/6.13 (assume @p681 (forall @t6 (=> @t180 (forall @t20 (=> @t250 (not (and @t295 @t233))))))) % 0.54/6.13 (assume @p682 (forall @t6 (=> @t72 (= @t286 (tptp.is_well_founded_in @t1 @t190))))) % 0.54/6.13 (assume @p683 (forall @t6 (tptp.antisymmetric @t268))) % 0.54/6.13 (assume @p684 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.54/6.13 (assume @p685 (forall @t15 (not (and @t151 @t16)))) % 0.54/6.13 (assume @p686 (forall @t6 (=> @t5 (forall @t20 (=> @t207 (forall @t108 (=> @t120 (forall @t156 (=> @t155 (forall @t174 (=> @t173 (forall @t347 (=> @t738 (=> (and @t223 @t626 @t737) @t342)))))))))))))) % 0.54/6.13 (assume @p687 (forall @t6 (=> @t5 (forall @t20 (=> (and @t214 @t207) (forall @t108 (=> @t120 (forall @t156 (=> @t155 (forall @t174 (=> @t173 (forall @t347 (=> @t738 (=> (and @t223 @t626 @t342 (tptp.in @t163 @t172) (tptp.in @t288 @t172)) @t737)))))))))))))) % 0.54/6.13 (assume @p688 (forall @t6 (=> @t187 (=> @t83 (tptp.one_to_one @t366))))) % 0.54/6.13 (assume @p689 (forall @t51 (=> (and @t151 @t728) (tptp.disjoint @t1 @t45)))) % 0.54/6.13 (assume @p690 (forall @t6 (=> @t72 (=> (or @t740 @t739) @t232)))) % 0.54/6.13 (assume @p691 (forall @t6 (=> @t72 (= @t740 @t739)))) % 0.54/6.13 (assume @p692 (forall @t15 (= (= (tptp.set_difference @t1 @t517) @t1) @t13))) % 0.54/6.13 (assume @p693 (forall @t15 (=> @t490 (forall @t108 (=> @t338 (= (= @t11 @t521) (and (= @t226 (tptp.set_intersection2 @t317 @t1)) (forall @t156 (=> (tptp.in @t141 @t226) (= (tptp.apply @t11 @t141) @t336)))))))))) % 0.54/6.13 (assume @p694 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t244))) % 0.54/6.13 (assume @p695 (forall @t6 (=> @t30 @t232))) % 0.54/6.13 (assume @p696 (forall @t225 (=> @t708 (=> @t143 (or @t233 (tptp.in @t707 @t678)))))) % 0.54/6.13 (assume @p697 (forall @t6 (=> @t40 (tptp.well_founded_relation @t268)))) % 0.54/6.13 (assume @p698 (forall @t6 (=> @t5 (forall @t20 (=> @t121 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 0.54/6.13 (assume @p699 (forall @t6 (=> @t222 (forall @t20 (=> @t203 (forall @t108 (=> @t120 (= @t731 (forall @t156 (=> (tptp.point_neighbourhood @t141 @t1 @t45) (not (tptp.disjoint @t141 @t11)))))))))))) % 0.54/6.13 (assume @p700 (forall @t15 (=> (tptp.subset @t244 @t517) @t152))) % 0.54/6.13 (assume @p701 (forall @t51 (=> @t338 (=> @t522 @t741)))) % 0.54/6.13 (assume @p702 (forall @t6 (and (= (tptp.relation_dom @t147) @t1) (= (tptp.relation_rng @t147) @t1)))) % 0.54/6.13 (assume @p703 (forall @t51 (=> @t338 (=> @t12 @t741)))) % 0.54/6.13 (assume @p704 (forall @t225 (=> @t593 (= (tptp.in @t327 (tptp.relation_composition (tptp.identity_relation @t45) @t141)) (and @t519 (tptp.in @t327 @t141)))))) % 0.54/6.13 (assume @p705 (forall @t15 (not (and @t14 @t109)))) % 0.54/6.13 (assume @p706 (forall @t6 (=> @t278 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t528 (tptp.related_reflexive @t277 @t297 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 0.54/6.13 (assume @p707 (forall @t15 (and (= (tptp.pair_first @t327) @t1) (= (tptp.pair_second @t327) @t11)))) % 0.54/6.13 (assume @p708 (forall @t15 (not (and @t14 (forall @t108 (not (and @t251 (forall @t156 (not (and @t166 @t184)))))))))) % 0.54/6.13 (assume @p709 (forall @t6 (=> @t40 (tptp.well_ordering @t268)))) % 0.54/6.13 (assume @p710 (forall @t15 (tptp.subset @t1 @t126))) % 0.54/6.13 (assume @p711 (forall @t15 (= @t339 (= @t320 @t1)))) % 0.54/6.13 (assume @p712 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_dom @t671)) (and @t14 @t701))))) % 0.54/6.13 (assume @p713 (forall @t15 (=> @t149 (tptp.subset @t685 @t11)))) % 0.54/6.13 (assume @p714 (forall @t15 (not (and @t30 @t356 @t109)))) % 0.54/6.13 (assume @p715 (forall @t51 (=> @t338 (= @t702 (and @t701 (= @t11 @t704)))))) % 0.54/6.13 (assume @p716 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t146 (=> @t266 (and (=> @t176 (tptp.is_eventually_in @t1 @t11 @t141)) (=> @t192 (tptp.is_often_in @t1 @t11 @t141)))))))))) % 0.54/6.13 (assume @p717 (forall @t6 (=> @t72 (= (tptp.well_orders @t1 @t190) @t315)))) % 0.54/6.13 (assume @p718 (forall @t51 (=> (and @t151 @t293) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 0.54/6.13 (assume @p719 (forall @t51 (=> @t742 @t152))) % 0.54/6.13 (assume @p720 (forall @t15 (=> @t149 (= (tptp.relation_dom @t685) @t675)))) % 0.54/6.13 (assume @p721 (forall @t6 (=> @t180 (forall @t20 (=> @t121 (= (tptp.apply_as_element @t3 @t3 @t162 @t11) @t11)))))) % 0.54/6.13 (assume @p722 (forall @t15 (=> @t149 (= @t685 (tptp.relation_composition @t147 @t11))))) % 0.54/6.13 (assume @p723 (forall @t15 (=> @t149 (tptp.subset (tptp.relation_rng @t685) @t227)))) % 0.54/6.13 (assume @p724 (forall @t6 (= (tptp.union @t32) @t1))) % 0.54/6.13 (assume @p725 (forall @t225 (=> @t708 (=> @t589 (or (and @t233 @t256) (and @t393 (tptp.quasi_total @t141 @t1 @t45) (tptp.relation_of2_as_subset @t141 @t1 @t45))))))) % 0.54/6.13 (assume @p726 (forall @t6 (exists @t20 (and @t14 @t669 (forall @t108 (not (and @t251 (forall @t156 (not (and @t166 (forall @t174 (=> (tptp.subset @t163 @t45) @t224)))))))) @t668)))) % 0.54/6.13 (assume @p727 (forall @t51 (=> @t742 @t241))) % 0.54/6.13 (step @p728 :rule aci_norm :args ((= @t749 @t747))) % 0.54/6.13 (step @p729 :rule cong :premises (@p728) :args (@t751)) % 0.54/6.13 (step @p730 :rule quant-merge-prenex :args ((= (forall @t6 @t753) @t751))) % 0.54/6.13 (step @p731 :rule alpha_equiv :args (@t754 (@list @t743) @t755)) % 0.54/6.13 (step @p732 :rule refl :args (@t746)) % 0.54/6.13 (step @p733 :rule nary_cong :premises (@p732 @p731) :args (@t756)) % 0.54/6.13 (step @p734 :rule quant-miniscope-or :args ((= @t753 @t756))) % 0.54/6.13 (step @p735 :rule trans :premises (@p734 @p733)) % 0.54/6.13 (step @p736 :rule symm :premises (@p735)) % 0.54/6.13 (step @p737 :rule cong :premises (@p736) :args ((forall @t6 (or @t746 @t758)))) % 0.54/6.13 (step @p738 :rule trans :premises (@p737 @p730)) % 0.54/6.13 (step @p739 :rule trans :premises (@p738 @p729)) % 0.54/6.13 (step @p740 :rule bool-impl-elim :args (@t122 @t758)) % 0.54/6.13 (step @p741 :rule cong :premises (@p740) :args ((forall @t6 (=> @t122 @t758)))) % 0.54/6.13 (step @p742 :rule trans :premises (@p741 @p739)) % 0.54/6.13 (step @p743 :rule bool-impl-elim :args (@t177 @t209)) % 0.54/6.13 (step @p744 :rule cong :premises (@p743) :args (@t417)) % 0.54/6.13 (step @p745 :rule refl :args (@t122)) % 0.54/6.13 (step @p746 :rule cong :premises (@p745 @p744) :args (@t418)) % 0.54/6.13 (step @p747 :rule cong :premises (@p746) :args (@t419)) % 0.54/6.13 (step @p748 :rule trans :premises (@p747 @p742)) % 0.54/6.13 (step @p749 :rule eq_resolve :premises (@p245 @p748)) % 0.54/6.13 (step @p750 :rule aci_norm :args ((= @t763 (or @t746 @t757 @t761 @t760)))) % 0.54/6.13 (step @p751 :rule cong :premises (@p750) :args (@t764)) % 0.54/6.13 (step @p752 :rule quant-merge-prenex :args ((= (forall @t15 @t766) @t764))) % 0.54/6.13 (step @p753 :rule alpha_equiv :args (@t767 (@list @t759) @t768)) % 0.54/6.13 (step @p754 :rule refl :args (@t757)) % 0.54/6.13 (step @p755 :rule nary_cong :premises (@p732 @p754 @p753) :args (@t769)) % 0.54/6.13 (step @p756 :rule quant-miniscope-or :args ((= @t766 @t769))) % 0.54/6.13 (step @p757 :rule trans :premises (@p756 @p755)) % 0.54/6.13 (step @p758 :rule symm :premises (@p757)) % 0.54/6.13 (step @p759 :rule cong :premises (@p758) :args ((forall @t15 @t772))) % 0.54/6.13 (step @p760 :rule trans :premises (@p759 @p752)) % 0.54/6.13 (step @p761 :rule trans :premises (@p760 @p751)) % 0.54/6.13 (step @p762 :rule aci_norm :args ((= (or (or @t746 @t757) @t771) @t772))) % 0.54/6.13 (step @p763 :rule refl :args (@t771)) % 0.54/6.13 (step @p764 :rule bool-and-de-morgan :args (@t122 @t177 true)) % 0.54/6.13 (step @p765 :rule nary_cong :premises (@p764 @p763) :args ((or (not @t422) @t771))) % 0.54/6.13 (step @p766 :rule trans :premises (@p765 @p762)) % 0.54/6.13 (step @p767 :rule bool-impl-elim :args (@t422 @t771)) % 0.54/6.13 (step @p768 :rule trans :premises (@p767 @p766)) % 0.54/6.13 (step @p769 :rule cong :premises (@p768) :args ((forall @t15 (=> @t422 @t771)))) % 0.54/6.13 (step @p770 :rule trans :premises (@p769 @p761)) % 0.54/6.13 (step @p771 :rule bool-impl-elim :args (@t358 @t360)) % 0.54/6.13 (step @p772 :rule cong :premises (@p771) :args (@t421)) % 0.54/6.13 (step @p773 :rule refl :args (@t422)) % 0.54/6.13 (step @p774 :rule cong :premises (@p773 @p772) :args (@t423)) % 0.54/6.13 (step @p775 :rule cong :premises (@p774) :args (@t424)) % 0.54/6.13 (step @p776 :rule trans :premises (@p775 @p770)) % 0.54/6.13 (step @p777 :rule eq_resolve :premises (@p250 @p776)) % 0.54/6.13 (step @p778 :rule instantiate :premises (@p777) :args (@t784)) % 0.54/6.13 (step @p779 :rule aci_norm :args ((= @t786 @t778))) % 0.54/6.13 (step @p780 :rule cong :premises (@p779) :args (@t787)) % 0.54/6.13 (step @p781 :rule quant-merge-prenex :args ((= (forall @t6 @t789) @t787))) % 0.54/6.13 (step @p782 :rule alpha_equiv :args (@t790 (@list @t773 @t774) (@list @t11 @t791))) % 0.54/6.13 (step @p783 :rule nary_cong :premises (@p732 @p782) :args (@t792)) % 0.54/6.13 (step @p784 :rule quant-miniscope-or :args ((= @t789 @t792))) % 0.54/6.13 (step @p785 :rule trans :premises (@p784 @p783)) % 0.54/6.13 (step @p786 :rule symm :premises (@p785)) % 0.54/6.13 (step @p787 :rule cong :premises (@p786) :args ((forall @t6 (or @t746 @t797)))) % 0.54/6.13 (step @p788 :rule trans :premises (@p787 @p781)) % 0.54/6.13 (step @p789 :rule trans :premises (@p788 @p780)) % 0.54/6.13 (step @p790 :rule bool-impl-elim :args (@t122 @t797)) % 0.54/6.13 (step @p791 :rule cong :premises (@p790) :args ((forall @t6 (=> @t122 @t797)))) % 0.54/6.13 (step @p792 :rule trans :premises (@p791 @p789)) % 0.54/6.13 (step @p793 :rule aci_norm :args ((= @t799 @t795))) % 0.54/6.13 (step @p794 :rule cong :premises (@p793) :args (@t800)) % 0.54/6.13 (step @p795 :rule quant-merge-prenex :args ((= (forall @t20 @t802) @t800))) % 0.54/6.13 (step @p796 :rule alpha_equiv :args (@t803 (@list @t791) @t768)) % 0.54/6.13 (step @p797 :rule nary_cong :premises (@p754 @p796) :args (@t804)) % 0.54/6.13 (step @p798 :rule quant-miniscope-or :args ((= @t802 @t804))) % 0.54/6.13 (step @p799 :rule trans :premises (@p798 @p797)) % 0.54/6.13 (step @p800 :rule symm :premises (@p799)) % 0.54/6.13 (step @p801 :rule cong :premises (@p800) :args ((forall @t20 (or @t757 @t805)))) % 0.54/6.13 (step @p802 :rule trans :premises (@p801 @p795)) % 0.54/6.13 (step @p803 :rule trans :premises (@p802 @p794)) % 0.54/6.13 (step @p804 :rule bool-impl-elim :args (@t177 @t805)) % 0.54/6.13 (step @p805 :rule cong :premises (@p804) :args ((forall @t20 (=> @t177 @t805)))) % 0.54/6.13 (step @p806 :rule trans :premises (@p805 @p803)) % 0.54/6.13 (step @p807 :rule bool-impl-elim :args (@t358 @t689)) % 0.54/6.13 (step @p808 :rule cong :premises (@p807) :args (@t690)) % 0.54/6.13 (step @p809 :rule refl :args (@t177)) % 0.54/6.13 (step @p810 :rule cong :premises (@p809 @p808) :args (@t691)) % 0.54/6.13 (step @p811 :rule cong :premises (@p810) :args (@t692)) % 0.54/6.13 (step @p812 :rule trans :premises (@p811 @p806)) % 0.54/6.13 (step @p813 :rule cong :premises (@p745 @p812) :args (@t693)) % 0.54/6.13 (step @p814 :rule cong :premises (@p813) :args (@t694)) % 0.54/6.13 (step @p815 :rule trans :premises (@p814 @p792)) % 0.54/6.13 (step @p816 :rule cong :premises (@p815) :args (@t695)) % 0.54/6.13 (step @p817 :rule eq_resolve :premises (@p563 @p816)) % 0.54/6.13 (step @p818 :rule skolemize :premises (@p817)) % 0.54/6.13 (step @p819 :rule bool-double-not-elim :args (@t806)) % 0.54/6.13 (step @p820 :rule refl :args (@t815)) % 0.54/6.13 (step @p821 :rule nary_cong :premises (@p820 @p819) :args ((or @t815 (not @t810)))) % 0.54/6.13 (step @p822 :rule cnf_or_neg :args (@t815 2)) % 0.54/6.13 (step @p823 :rule eq_resolve :premises (@p822 @p821)) % 0.54/6.13 (step @p824 :rule reordering :premises (@p823) :args ((or @t806 @t815))) % 0.54/6.13 (step @p825 :rule chain_m_resolution :premises (@p824 @p818) :args (@t806 @t816 @t817)) % 0.54/6.13 (step @p826 :rule bool-double-not-elim :args (@t811)) % 0.54/6.13 (step @p827 :rule nary_cong :premises (@p820 @p826) :args ((or @t815 (not @t812)))) % 0.54/6.13 (step @p828 :rule cnf_or_neg :args (@t815 1)) % 0.54/6.13 (step @p829 :rule eq_resolve :premises (@p828 @p827)) % 0.54/6.13 (step @p830 :rule reordering :premises (@p829) :args ((or @t811 @t815))) % 0.54/6.13 (step @p831 :rule chain_m_resolution :premises (@p830 @p818) :args (@t811 @t816 @t817)) % 0.54/6.13 (step @p832 :rule bool-double-not-elim :args (@t813)) % 0.54/6.13 (step @p833 :rule nary_cong :premises (@p820 @p832) :args ((or @t815 (not @t814)))) % 0.54/6.13 (step @p834 :rule cnf_or_neg :args (@t815 0)) % 0.54/6.13 (step @p835 :rule eq_resolve :premises (@p834 @p833)) % 0.54/6.13 (step @p836 :rule reordering :premises (@p835) :args ((or @t813 @t815))) % 0.54/6.13 (step @p837 :rule chain_m_resolution :premises (@p836 @p818) :args (@t813 @t816 @t817)) % 0.54/6.13 (step @p838 :rule cnf_or_pos :args (@t819)) % 0.54/6.13 (step @p839 :rule reordering :premises (@p838) :args ((or @t814 @t812 @t810 @t818 (not @t819)))) % 0.54/6.13 (step @p840 :rule chain_m_resolution :premises (@p839 @p837 @p831 @p825 @p778) :args (@t818 @t820 (@list @t813 @t811 @t806 @t819))) % 0.54/6.13 (step @p841 :rule aci_norm :args ((= @t826 (or @t824 @t823 @t822)))) % 0.54/6.13 (step @p842 :rule cong :premises (@p841) :args (@t827)) % 0.54/6.13 (step @p843 :rule quant-merge-prenex :args ((= (forall @t6 @t829) @t827))) % 0.54/6.13 (step @p844 :rule alpha_equiv :args (@t830 (@list @t821) @t755)) % 0.54/6.13 (step @p845 :rule refl :args (@t824)) % 0.54/6.13 (step @p846 :rule nary_cong :premises (@p845 @p844) :args (@t831)) % 0.54/6.13 (step @p847 :rule quant-miniscope-or :args ((= @t829 @t831))) % 0.54/6.13 (step @p848 :rule trans :premises (@p847 @p846)) % 0.54/6.13 (step @p849 :rule symm :premises (@p848)) % 0.54/6.13 (step @p850 :rule cong :premises (@p849) :args ((forall @t6 (or @t824 @t832)))) % 0.54/6.13 (step @p851 :rule trans :premises (@p850 @p843)) % 0.54/6.13 (step @p852 :rule trans :premises (@p851 @p842)) % 0.54/6.13 (step @p853 :rule bool-impl-elim :args (@t5 @t832)) % 0.54/6.13 (step @p854 :rule cong :premises (@p853) :args ((forall @t6 (=> @t5 @t832)))) % 0.54/6.13 (step @p855 :rule trans :premises (@p854 @p852)) % 0.54/6.13 (step @p856 :rule bool-impl-elim :args (@t209 @t208)) % 0.54/6.13 (step @p857 :rule cong :premises (@p856) :args (@t210)) % 0.54/6.13 (step @p858 :rule refl :args (@t5)) % 0.54/6.13 (step @p859 :rule cong :premises (@p858 @p857) :args (@t211)) % 0.54/6.13 (step @p860 :rule cong :premises (@p859) :args (@t212)) % 0.54/6.13 (step @p861 :rule trans :premises (@p860 @p855)) % 0.54/6.13 (step @p862 :rule eq_resolve :premises (@p80 @p861)) % 0.54/6.13 (step @p863 :rule instantiate :premises (@p862) :args ((@list @t782 @t781))) % 0.54/6.13 (step @p864 :rule aci_norm :args ((= @t839 (or @t746 @t837 @t836 @t835)))) % 0.54/6.13 (step @p865 :rule cong :premises (@p864) :args (@t840)) % 0.54/6.13 (step @p866 :rule quant-merge-prenex :args ((= (forall @t6 @t842) @t840))) % 0.54/6.13 (step @p867 :rule alpha_equiv :args (@t843 (@list @t834 @t833) (@list @t11 @t844))) % 0.54/6.13 (step @p868 :rule nary_cong :premises (@p732 @p867) :args (@t845)) % 0.54/6.13 (step @p869 :rule quant-miniscope-or :args ((= @t842 @t845))) % 0.54/6.13 (step @p870 :rule trans :premises (@p869 @p868)) % 0.54/6.13 (step @p871 :rule symm :premises (@p870)) % 0.54/6.13 (step @p872 :rule cong :premises (@p871) :args ((forall @t6 (or @t746 @t850)))) % 0.54/6.13 (step @p873 :rule trans :premises (@p872 @p866)) % 0.54/6.13 (step @p874 :rule trans :premises (@p873 @p865)) % 0.54/6.13 (step @p875 :rule bool-impl-elim :args (@t122 @t850)) % 0.54/6.13 (step @p876 :rule cong :premises (@p875) :args ((forall @t6 (=> @t122 @t850)))) % 0.54/6.13 (step @p877 :rule trans :premises (@p876 @p874)) % 0.54/6.13 (step @p878 :rule aci_norm :args ((= @t852 @t848))) % 0.54/6.13 (step @p879 :rule cong :premises (@p878) :args (@t853)) % 0.54/6.13 (step @p880 :rule quant-merge-prenex :args ((= (forall @t20 @t855) @t853))) % 0.54/6.13 (step @p881 :rule alpha_equiv :args (@t856 (@list @t844) @t768)) % 0.54/6.13 (step @p882 :rule nary_cong :premises (@p754 @p881) :args (@t857)) % 0.54/6.13 (step @p883 :rule quant-miniscope-or :args ((= @t855 @t857))) % 0.54/6.13 (step @p884 :rule trans :premises (@p883 @p882)) % 0.54/6.13 (step @p885 :rule symm :premises (@p884)) % 0.54/6.13 (step @p886 :rule cong :premises (@p885) :args ((forall @t20 (or @t757 @t858)))) % 0.54/6.13 (step @p887 :rule trans :premises (@p886 @p880)) % 0.54/6.13 (step @p888 :rule trans :premises (@p887 @p879)) % 0.54/6.13 (step @p889 :rule bool-impl-elim :args (@t177 @t858)) % 0.54/6.13 (step @p890 :rule cong :premises (@p889) :args ((forall @t20 (=> @t177 @t858)))) % 0.54/6.16 (step @p891 :rule trans :premises (@p890 @p888)) % 0.54/6.16 (step @p892 :rule bool-impl-elim :args (@t360 @t359)) % 0.54/6.16 (step @p893 :rule cong :premises (@p892) :args (@t361)) % 0.54/6.16 (step @p894 :rule cong :premises (@p809 @p893) :args (@t362)) % 0.54/6.16 (step @p895 :rule cong :premises (@p894) :args (@t363)) % 0.54/6.16 (step @p896 :rule trans :premises (@p895 @p891)) % 0.54/6.16 (step @p897 :rule cong :premises (@p745 @p896) :args (@t364)) % 0.54/6.16 (step @p898 :rule cong :premises (@p897) :args (@t365)) % 0.54/6.16 (step @p899 :rule trans :premises (@p898 @p877)) % 0.54/6.16 (step @p900 :rule eq_resolve :premises (@p179 @p899)) % 0.54/6.16 (step @p901 :rule instantiate :premises (@p900) :args (@t784)) % 0.54/6.16 (step @p902 :rule cnf_or_pos :args (@t863)) % 0.54/6.16 (step @p903 :rule reordering :premises (@p902) :args ((or @t814 @t812 @t862 @t861 (not @t863)))) % 0.54/6.16 (step @p904 :rule chain_m_resolution :premises (@p903 @p837 @p831 @p840 @p901) :args (@t861 @t820 (@list @t813 @t811 @t818 @t863))) % 0.54/6.16 (step @p905 :rule cnf_equiv_pos1 :args (@t861)) % 0.54/6.16 (step @p906 :rule reordering :premises (@p905) :args ((or @t810 @t860 (not @t861)))) % 0.54/6.16 (step @p907 :rule chain_m_resolution :premises (@p906 @p825 @p904) :args (@t860 (@list false false) (@list @t806 @t861))) % 0.54/6.16 (step @p908 :rule cnf_and_pos :args (@t860 0)) % 0.54/6.16 (step @p909 :rule reordering :premises (@p908) :args ((or @t859 (not @t860)))) % 0.54/6.16 (step @p910 :rule chain_m_resolution :premises (@p909 @p907) :args (@t859 (@list false) (@list @t860))) % 0.54/6.16 (step @p911 :rule cnf_or_neg :args (@t815 3)) % 0.54/6.16 (step @p912 :rule chain_m_resolution :premises (@p911 @p818) :args ((not @t809) @t816 @t817)) % 0.54/6.16 (step @p913 :rule cnf_and_pos :args (@t864 0)) % 0.54/6.16 (step @p914 :rule reordering :premises (@p913) :args ((or @t809 @t865))) % 0.54/6.16 (step @p915 :rule chain_m_resolution :premises (@p914 @p912) :args (@t865 @t816 (@list @t809))) % 0.54/6.16 (step @p916 :rule cnf_equiv_pos1 :args (@t866)) % 0.54/6.16 (step @p917 :rule reordering :premises (@p916) :args ((or @t864 (not @t859) @t867))) % 0.54/6.16 (step @p918 :rule chain_m_resolution :premises (@p917 @p915 @p910) :args (@t867 @t868 (@list @t864 @t859))) % 0.54/6.16 (step @p919 :rule instantiate :premises (@p749) :args ((@list @t783 @t782))) % 0.54/6.16 (step @p920 :rule cnf_or_pos :args (@t870)) % 0.54/6.16 (step @p921 :rule reordering :premises (@p920) :args ((or @t814 @t812 @t869 (not @t870)))) % 0.54/6.16 (step @p922 :rule chain_m_resolution :premises (@p921 @p837 @p831 @p919) :args (@t869 (@list false false false) (@list @t813 @t811 @t870))) % 0.54/6.16 (step @p923 :rule cnf_or_pos :args (@t874)) % 0.54/6.16 (step @p924 :rule reordering :premises (@p923) :args ((or @t873 @t872 @t866 (not @t874)))) % 0.54/6.16 (step @p925 :rule chain_m_resolution :premises (@p924 @p922 @p918 @p863) :args (@t872 @t875 (@list @t869 @t866 @t874))) % 0.54/6.16 (step @p926 :rule cnf_or_pos :args (@t876)) % 0.54/6.16 (step @p927 :rule reordering :premises (@p926) :args ((or @t814 @t871 @t862 @t877))) % 0.54/6.16 (step @p928 :rule chain_m_resolution :premises (@p927 @p837 @p925 @p840) :args (@t877 @t875 (@list @t813 @t871 @t818))) % 0.54/6.16 (assume-push @p935 @t878) % 0.54/6.16 (step @p930 :rule instantiate :premises (@p749) :args ((@list @t783 @t781))) % 0.54/6.16 (step-pop @p936 :rule scope :premises (@p930)) % 0.54/6.16 (step @p931 :rule process_scope :premises (@p936) :args (@t876)) % 0.54/6.16 (step @p933 :rule implies_elim :premises (@p931)) % 0.54/6.16 (step @p934 false :rule chain_m_resolution :premises (@p933 @p928 @p749) :args (false @t868 (@list @t876 @t878))) % 0.54/6.16 ) % 0.54/6.16 % SZS output end Proof % 0.54/6.16 % cvc5 exiting %------------------------------------------------------------------------------