%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU374+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 6.02s 6.27s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU374+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.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 17:02:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.41/0.69 %----Proving TF0_NAR, FOF, or CNF % 6.02/6.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.02/6.27 % SZS status Theorem % 6.02/6.27 % SZS output start Proof % 6.02/6.27 ( % 6.02/6.27 (declare-sort $$unsorted 0) % 6.02/6.27 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.unordered_pair_as_carrier_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.finite (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.lattice (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.empty_set $$unsorted) % 6.02/6.27 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.connected (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relation (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.omega $$unsorted) % 6.02/6.27 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.transitive (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 6.02/6.27 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 6.02/6.27 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.natural (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.empty (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.function (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.centered (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.top_str (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 6.02/6.28 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.02/6.28 (define @t1 () (@var "A" $$unsorted)) % 6.02/6.28 (define @t2 () (tptp.the_InternalRel @t1)) % 6.02/6.28 (define @t3 () (tptp.the_carrier @t1)) % 6.02/6.28 (define @t4 () (tptp.strict_rel_str @t1)) % 6.02/6.28 (define @t5 () (tptp.rel_str @t1)) % 6.02/6.28 (define @t6 () (@list @t1)) % 6.02/6.28 (define @t7 () (tptp.the_L_meet @t1)) % 6.02/6.28 (define @t8 () (tptp.the_L_join @t1)) % 6.02/6.28 (define @t9 () (tptp.strict_latt_str @t1)) % 6.02/6.28 (define @t10 () (tptp.latt_str @t1)) % 6.02/6.28 (define @t11 () (@var "B" $$unsorted)) % 6.02/6.28 (define @t12 () (tptp.in @t11 @t1)) % 6.02/6.28 (define @t13 () (not @t12)) % 6.02/6.28 (define @t14 () (tptp.in @t1 @t11)) % 6.02/6.28 (define @t15 () (@list @t1 @t11)) % 6.02/6.28 (define @t16 () (tptp.proper_subset @t11 @t1)) % 6.02/6.28 (define @t17 () (tptp.proper_subset @t1 @t11)) % 6.02/6.28 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 6.02/6.28 (define @t19 () (tptp.element @t11 @t1)) % 6.02/6.28 (define @t20 () (@list @t11)) % 6.02/6.28 (define @t21 () (tptp.v1_membered @t1)) % 6.02/6.28 (define @t22 () (tptp.v1_xreal_0 @t11)) % 6.02/6.28 (define @t23 () (tptp.v2_membered @t1)) % 6.02/6.28 (define @t24 () (tptp.v1_rat_1 @t11)) % 6.02/6.28 (define @t25 () (tptp.v3_membered @t1)) % 6.02/6.28 (define @t26 () (tptp.v1_int_1 @t11)) % 6.02/6.28 (define @t27 () (tptp.v4_membered @t1)) % 6.02/6.28 (define @t28 () (tptp.natural @t11)) % 6.02/6.28 (define @t29 () (tptp.v5_membered @t1)) % 6.02/6.28 (define @t30 () (tptp.empty @t1)) % 6.02/6.28 (define @t31 () (tptp.v1_membered @t11)) % 6.02/6.28 (define @t32 () (tptp.powerset @t1)) % 6.02/6.28 (define @t33 () (tptp.element @t11 @t32)) % 6.02/6.28 (define @t34 () (tptp.v2_membered @t11)) % 6.02/6.28 (define @t35 () (tptp.v3_membered @t11)) % 6.02/6.28 (define @t36 () (tptp.v4_membered @t11)) % 6.02/6.28 (define @t37 () (tptp.ordinal @t11)) % 6.02/6.28 (define @t38 () (tptp.epsilon_connected @t11)) % 6.02/6.28 (define @t39 () (tptp.epsilon_transitive @t11)) % 6.02/6.28 (define @t40 () (tptp.ordinal @t1)) % 6.02/6.28 (define @t41 () (tptp.finite @t1)) % 6.02/6.28 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 6.02/6.28 (define @t43 () (tptp.preboolean @t1)) % 6.02/6.28 (define @t44 () (tptp.function @t1)) % 6.02/6.28 (define @t45 () (@var "C" $$unsorted)) % 6.02/6.28 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 6.02/6.28 (define @t47 () (tptp.function @t45)) % 6.02/6.28 (define @t48 () (and @t47 @t46)) % 6.02/6.28 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 6.02/6.28 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 6.02/6.28 (define @t51 () (@list @t1 @t11 @t45)) % 6.02/6.28 (define @t52 () (tptp.bounded_lattstr @t1)) % 6.02/6.28 (define @t53 () (tptp.upper_bounded_semilattstr @t1)) % 6.02/6.28 (define @t54 () (tptp.lower_bounded_semilattstr @t1)) % 6.02/6.28 (define @t55 () (tptp.lattice @t1)) % 6.02/6.28 (define @t56 () (tptp.join_absorbing @t1)) % 6.02/6.28 (define @t57 () (tptp.meet_absorbing @t1)) % 6.02/6.28 (define @t58 () (tptp.meet_associative @t1)) % 6.02/6.28 (define @t59 () (tptp.meet_commutative @t1)) % 6.02/6.28 (define @t60 () (tptp.join_associative @t1)) % 6.02/6.28 (define @t61 () (tptp.join_commutative @t1)) % 6.02/6.28 (define @t62 () (tptp.empty_carrier @t1)) % 6.02/6.28 (define @t63 () (not @t62)) % 6.02/6.28 (define @t64 () (tptp.complete_latt_str @t1)) % 6.02/6.28 (define @t65 () (tptp.with_suprema_relstr @t1)) % 6.02/6.28 (define @t66 () (and @t63 @t61 @t60 @t59 @t58 @t57 @t56)) % 6.02/6.28 (define @t67 () (and @t63 @t55)) % 6.02/6.28 (define @t68 () (tptp.epsilon_connected @t1)) % 6.02/6.28 (define @t69 () (tptp.epsilon_transitive @t1)) % 6.02/6.28 (define @t70 () (and @t69 @t68)) % 6.02/6.28 (define @t71 () (tptp.reflexive @t1)) % 6.02/6.28 (define @t72 () (tptp.relation @t1)) % 6.02/6.28 (define @t73 () (tptp.transitive @t1)) % 6.02/6.28 (define @t74 () (tptp.relation @t45)) % 6.02/6.28 (define @t75 () (tptp.cartesian_product2 @t1 @t11)) % 6.02/6.28 (define @t76 () (tptp.element @t45 (tptp.powerset @t75))) % 6.02/6.28 (define @t77 () (tptp.with_infima_relstr @t1)) % 6.02/6.28 (define @t78 () (tptp.complete_relstr @t1)) % 6.02/6.28 (define @t79 () (and @t63 @t78)) % 6.02/6.28 (define @t80 () (tptp.natural @t1)) % 6.02/6.28 (define @t81 () (and @t69 @t68 @t40 @t80)) % 6.02/6.28 (define @t82 () (tptp.finite @t11)) % 6.02/6.28 (define @t83 () (tptp.one_to_one @t1)) % 6.02/6.28 (define @t84 () (and @t72 @t44 @t83)) % 6.02/6.28 (define @t85 () (and @t72 @t30 @t44)) % 6.02/6.28 (define @t86 () (tptp.one_to_one @t45)) % 6.02/6.28 (define @t87 () (and @t47 @t86 @t46 (tptp.onto @t45 @t1 @t11))) % 6.02/6.28 (define @t88 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 6.02/6.28 (define @t89 () (tptp.antisymmetric_relstr @t1)) % 6.02/6.28 (define @t90 () (tptp.transitive_relstr @t1)) % 6.02/6.28 (define @t91 () (tptp.reflexive_relstr @t1)) % 6.02/6.28 (define @t92 () (tptp.trivial_carrier @t1)) % 6.02/6.28 (define @t93 () (and @t63 @t52)) % 6.02/6.28 (define @t94 () (and @t63 @t54 @t53)) % 6.02/6.28 (define @t95 () (and @t69 @t68 @t40)) % 6.02/6.28 (define @t96 () (tptp.bounded_relstr @t1)) % 6.02/6.28 (define @t97 () (tptp.bijective @t11 @t1 @t1)) % 6.02/6.28 (define @t98 () (tptp.onto @t11 @t1 @t1)) % 6.02/6.28 (define @t99 () (tptp.quasi_total @t11 @t1 @t1)) % 6.02/6.28 (define @t100 () (tptp.one_to_one @t11)) % 6.02/6.28 (define @t101 () (tptp.function @t11)) % 6.02/6.28 (define @t102 () (tptp.reflexive @t11)) % 6.02/6.28 (define @t103 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 6.02/6.28 (define @t104 () (tptp.relation_of2 @t11 @t1 @t1)) % 6.02/6.28 (define @t105 () (tptp.upper_bounded_relstr @t1)) % 6.02/6.28 (define @t106 () (tptp.lower_bounded_relstr @t1)) % 6.02/6.28 (define @t107 () (and @t106 @t105)) % 6.02/6.28 (define @t108 () (@list @t45)) % 6.02/6.28 (define @t109 () (tptp.empty @t11)) % 6.02/6.28 (define @t110 () (not @t109)) % 6.02/6.28 (define @t111 () (tptp.complemented_lattstr @t1)) % 6.02/6.28 (define @t112 () (tptp.distributive_lattstr @t1)) % 6.02/6.28 (define @t113 () (tptp.boolean_lattstr @t1)) % 6.02/6.28 (define @t114 () (and @t63 @t113)) % 6.02/6.28 (define @t115 () (tptp.empty @t45)) % 6.02/6.28 (define @t116 () (not @t30)) % 6.02/6.28 (define @t117 () (and @t116 @t110)) % 6.02/6.28 (define @t118 () (tptp.modular_lattstr @t1)) % 6.02/6.28 (define @t119 () (tptp.unordered_pair_as_carrier_subset @t1 @t11 @t45)) % 6.02/6.28 (define @t120 () (tptp.element @t45 @t3)) % 6.02/6.28 (define @t121 () (tptp.element @t11 @t3)) % 6.02/6.28 (define @t122 () (tptp.one_sorted_str @t1)) % 6.02/6.28 (define @t123 () (and @t63 @t122 @t121 @t120)) % 6.02/6.28 (define @t124 () (tptp.unordered_pair @t1 @t11)) % 6.02/6.28 (define @t125 () (tptp.set_union2 @t11 @t1)) % 6.02/6.28 (define @t126 () (tptp.set_union2 @t1 @t11)) % 6.02/6.28 (define @t127 () (tptp.join_commut @t1 @t11 @t45)) % 6.02/6.28 (define @t128 () (tptp.join_semilatt_str @t1)) % 6.02/6.28 (define @t129 () (and @t63 @t61 @t128 @t121 @t120)) % 6.02/6.28 (define @t130 () (tptp.set_intersection2 @t11 @t1)) % 6.02/6.28 (define @t131 () (tptp.set_intersection2 @t1 @t11)) % 6.02/6.28 (define @t132 () (tptp.meet_commut @t1 @t11 @t45)) % 6.02/6.28 (define @t133 () (tptp.meet_semilatt_str @t1)) % 6.02/6.28 (define @t134 () (and @t63 @t59 @t133 @t121 @t120)) % 6.02/6.28 (define @t135 () (tptp.subset_union2 @t1 @t11 @t45)) % 6.02/6.28 (define @t136 () (tptp.element @t45 @t32)) % 6.02/6.28 (define @t137 () (and @t33 @t136)) % 6.02/6.28 (define @t138 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 6.02/6.28 (define @t139 () (tptp.ordinal_subset @t1 @t11)) % 6.02/6.28 (define @t140 () (and @t40 @t37)) % 6.02/6.28 (define @t141 () (@var "D" $$unsorted)) % 6.02/6.28 (define @t142 () (= @t45 @t141)) % 6.02/6.28 (define @t143 () (tptp.in @t45 @t1)) % 6.02/6.28 (define @t144 () (tptp.ordered_pair @t45 @t141)) % 6.02/6.28 (define @t145 () (tptp.in @t144 @t11)) % 6.02/6.28 (define @t146 () (@list @t45 @t141)) % 6.02/6.28 (define @t147 () (tptp.identity_relation @t1)) % 6.02/6.28 (define @t148 () (= @t11 @t147)) % 6.02/6.28 (define @t149 () (tptp.relation @t11)) % 6.02/6.28 (define @t150 () (tptp.subset @t11 @t1)) % 6.02/6.28 (define @t151 () (tptp.subset @t1 @t11)) % 6.02/6.28 (define @t152 () (= @t1 @t11)) % 6.02/6.28 (define @t153 () (tptp.related @t1 @t141 @t45)) % 6.02/6.28 (define @t154 () (tptp.relstr_element_smaller @t1 @t11 @t141)) % 6.02/6.28 (define @t155 () (tptp.element @t141 @t3)) % 6.02/6.28 (define @t156 () (@list @t141)) % 6.02/6.28 (define @t157 () (forall @t156 (=> @t155 (=> @t154 @t153)))) % 6.02/6.28 (define @t158 () (tptp.relstr_element_smaller @t1 @t11 @t45)) % 6.02/6.28 (define @t159 () (tptp.meet_on_relstr @t1 @t11)) % 6.02/6.28 (define @t160 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 6.02/6.28 (define @t161 () (@list @t11 @t45)) % 6.02/6.28 (define @t162 () (tptp.identity_on_carrier @t1)) % 6.02/6.28 (define @t163 () (@var "E" $$unsorted)) % 6.02/6.28 (define @t164 () (tptp.ordered_pair @t141 @t163)) % 6.02/6.28 (define @t165 () (tptp.in @t164 @t1)) % 6.02/6.28 (define @t166 () (tptp.in @t141 @t11)) % 6.02/6.28 (define @t167 () (tptp.in @t164 @t45)) % 6.02/6.28 (define @t168 () (@list @t141 @t163)) % 6.02/6.28 (define @t169 () (tptp.relation_dom_restriction @t1 @t11)) % 6.02/6.28 (define @t170 () (tptp.in (tptp.apply_netmap @t1 @t11 @t163) @t45)) % 6.02/6.28 (define @t171 () (tptp.related @t11 @t141 @t163)) % 6.02/6.28 (define @t172 () (tptp.the_carrier @t11)) % 6.02/6.28 (define @t173 () (tptp.element @t163 @t172)) % 6.02/6.28 (define @t174 () (@list @t163)) % 6.02/6.28 (define @t175 () (tptp.element @t141 @t172)) % 6.02/6.28 (define @t176 () (tptp.is_eventually_in @t1 @t11 @t45)) % 6.02/6.28 (define @t177 () (tptp.net_str @t11 @t1)) % 6.02/6.28 (define @t178 () (not (tptp.empty_carrier @t11))) % 6.02/6.28 (define @t179 () (and @t178 @t177)) % 6.02/6.28 (define @t180 () (and @t63 @t122)) % 6.02/6.28 (define @t181 () (tptp.bottom_of_relstr @t1)) % 6.02/6.28 (define @t182 () (tptp.in @t163 @t11)) % 6.02/6.28 (define @t183 () (tptp.relation_dom @t1)) % 6.02/6.28 (define @t184 () (tptp.in @t141 @t45)) % 6.02/6.28 (define @t185 () (tptp.relation_image @t1 @t11)) % 6.02/6.28 (define @t186 () (= @t45 @t185)) % 6.02/6.28 (define @t187 () (and @t72 @t44)) % 6.02/6.28 (define @t188 () (tptp.in @t163 @t1)) % 6.02/6.28 (define @t189 () (tptp.relation_rng_restriction @t1 @t11)) % 6.02/6.28 (define @t190 () (tptp.relation_field @t1)) % 6.02/6.28 (define @t191 () (tptp.antisymmetric @t1)) % 6.02/6.28 (define @t192 () (tptp.is_often_in @t1 @t11 @t45)) % 6.02/6.28 (define @t193 () (tptp.apply @t1 @t141)) % 6.02/6.28 (define @t194 () (tptp.in @t141 @t183)) % 6.02/6.28 (define @t195 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 6.02/6.28 (define @t196 () (tptp.meet @t1 @t11 @t45)) % 6.02/6.28 (define @t197 () (forall @t108 (=> @t120 (and (= @t196 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 6.02/6.28 (define @t198 () (and @t63 @t133)) % 6.02/6.28 (define @t199 () (tptp.powerset @t3)) % 6.02/6.28 (define @t200 () (tptp.element @t163 @t199)) % 6.02/6.28 (define @t201 () (tptp.topstr_closure @t1 @t11)) % 6.02/6.28 (define @t202 () (tptp.element @t45 @t199)) % 6.02/6.28 (define @t203 () (tptp.element @t11 @t199)) % 6.02/6.28 (define @t204 () (tptp.top_str @t1)) % 6.02/6.28 (define @t205 () (tptp.ordered_pair @t163 @t141)) % 6.02/6.28 (define @t206 () (tptp.the_InternalRel @t11)) % 6.02/6.28 (define @t207 () (tptp.subrelstr @t11 @t1)) % 6.02/6.28 (define @t208 () (tptp.rel_str @t11)) % 6.02/6.28 (define @t209 () (tptp.connected @t1)) % 6.02/6.28 (define @t210 () (tptp.full_subrelstr @t11 @t1)) % 6.02/6.28 (define @t211 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 6.02/6.28 (define @t212 () (and @t63 @t10)) % 6.02/6.28 (define @t213 () (tptp.bottom_of_semilattstr @t1)) % 6.02/6.28 (define @t214 () (tptp.ordered_pair @t11 @t45)) % 6.02/6.28 (define @t215 () (tptp.interior @t1 @t45)) % 6.02/6.28 (define @t216 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 6.02/6.28 (define @t217 () (tptp.topological_space @t1)) % 6.02/6.28 (define @t218 () (and @t63 @t217 @t204)) % 6.02/6.28 (define @t219 () (= @t163 @t45)) % 6.02/6.28 (define @t220 () (not @t219)) % 6.02/6.28 (define @t221 () (tptp.in @t163 @t141)) % 6.02/6.28 (define @t222 () (@list @t1 @t11 @t45 @t141)) % 6.02/6.28 (define @t223 () (tptp.relation_dom @t11)) % 6.02/6.28 (define @t224 () (tptp.relation_rng @t11)) % 6.02/6.28 (define @t225 () (tptp.in (tptp.ordered_pair @t11 @t141) @t1)) % 6.02/6.28 (define @t226 () (tptp.in @t214 @t1)) % 6.02/6.28 (define @t227 () (@list @t11 @t45 @t141)) % 6.02/6.28 (define @t228 () (= @t45 tptp.empty_set)) % 6.02/6.28 (define @t229 () (= @t1 tptp.empty_set)) % 6.02/6.28 (define @t230 () (= @t11 tptp.empty_set)) % 6.02/6.28 (define @t231 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 6.02/6.28 (define @t232 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 6.02/6.28 (define @t233 () (tptp.element @t141 @t32)) % 6.02/6.28 (define @t234 () (tptp.boole_lattice @t1)) % 6.02/6.28 (define @t235 () (tptp.latt_str @t11)) % 6.02/6.28 (define @t236 () (tptp.join @t1 @t11 @t45)) % 6.02/6.28 (define @t237 () (and @t63 @t128)) % 6.02/6.28 (define @t238 () (= @t11 @t45)) % 6.02/6.28 (define @t239 () (= @t1 @t144)) % 6.02/6.28 (define @t240 () (exists @t161 (= @t1 @t214))) % 6.02/6.28 (define @t241 () (tptp.singleton @t1)) % 6.02/6.28 (define @t242 () (tptp.succ @t1)) % 6.02/6.28 (define @t243 () (tptp.the_topology @t1)) % 6.02/6.28 (define @t244 () (tptp.in @t11 @t243)) % 6.02/6.28 (define @t245 () (tptp.union_of_subsets @t3 @t11)) % 6.02/6.28 (define @t246 () (tptp.powerset @t199)) % 6.02/6.28 (define @t247 () (tptp.element @t11 @t246)) % 6.02/6.28 (define @t248 () (tptp.in @t45 @t11)) % 6.02/6.28 (define @t249 () (tptp.is_reflexive_in @t1 @t11)) % 6.02/6.28 (define @t250 () (= @t11 (tptp.set_meet @t1))) % 6.02/6.28 (define @t251 () (tptp.in @t45 @t141)) % 6.02/6.28 (define @t252 () (tptp.in @t141 @t1)) % 6.02/6.28 (define @t253 () (not @t229)) % 6.02/6.28 (define @t254 () (tptp.empty @t3)) % 6.02/6.28 (define @t255 () (tptp.subset_complement @t3 @t11)) % 6.02/6.28 (define @t256 () (tptp.interior @t1 @t11)) % 6.02/6.28 (define @t257 () (tptp.open_subset @t45 @t1)) % 6.02/6.28 (define @t258 () (tptp.open_subsets @t11 @t1)) % 6.02/6.28 (define @t259 () (tptp.related @t1 @t141 @t163)) % 6.02/6.28 (define @t260 () (tptp.element @t163 @t3)) % 6.02/6.28 (define @t261 () (tptp.directed_subset @t11 @t1)) % 6.02/6.28 (define @t262 () (= @t141 @t11)) % 6.02/6.28 (define @t263 () (tptp.subset @t45 @t141)) % 6.02/6.28 (define @t264 () (tptp.relation_field @t11)) % 6.02/6.28 (define @t265 () (tptp.inclusion_relation @t1)) % 6.02/6.28 (define @t266 () (tptp.inclusion_order @t1)) % 6.02/6.28 (define @t267 () (tptp.incl_POSet @t1)) % 6.02/6.28 (define @t268 () (tptp.join_of_latt_set @t1 @t11)) % 6.02/6.28 (define @t269 () (and @t63 @t55 @t64 @t10)) % 6.02/6.28 (define @t270 () (tptp.meet_of_latt_set @t1 @t11)) % 6.02/6.28 (define @t271 () (tptp.set_meet @t11)) % 6.02/6.28 (define @t272 () (not @t230)) % 6.02/6.28 (define @t273 () (tptp.k2_lattice3 @t1)) % 6.02/6.28 (define @t274 () (tptp.poset_of_lattice @t1)) % 6.02/6.28 (define @t275 () (and @t63 @t55 @t10)) % 6.02/6.28 (define @t276 () (= @t11 @t141)) % 6.02/6.28 (define @t277 () (tptp.empty_carrier_subset @t1)) % 6.02/6.28 (define @t278 () (tptp.in @t144 @t1)) % 6.02/6.28 (define @t279 () (tptp.union @t1)) % 6.02/6.28 (define @t280 () (= @t11 @t279)) % 6.02/6.28 (define @t281 () (forall @t108 (=> @t202 (=> @t248 (tptp.closed_subset @t45 @t1))))) % 6.02/6.28 (define @t282 () (tptp.closed_subsets @t11 @t1)) % 6.02/6.28 (define @t283 () (tptp.well_founded_relation @t1)) % 6.02/6.28 (define @t284 () (tptp.boole_POSet @t1)) % 6.02/6.28 (define @t285 () (@var "F" $$unsorted)) % 6.02/6.28 (define @t286 () (tptp.ordered_pair @t163 @t285)) % 6.02/6.28 (define @t287 () (tptp.in @t285 @t11)) % 6.02/6.28 (define @t288 () (@list @t163 @t285)) % 6.02/6.28 (define @t289 () (tptp.finite @t45)) % 6.02/6.28 (define @t290 () (tptp.subset @t45 @t11)) % 6.02/6.28 (define @t291 () (tptp.element @t45 @t246)) % 6.02/6.28 (define @t292 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 6.02/6.28 (define @t293 () (tptp.compact_top_space @t1)) % 6.02/6.28 (define @t294 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 6.02/6.28 (define @t295 () (tptp.below @t1 @t11 @t45)) % 6.02/6.28 (define @t296 () (not @t248)) % 6.02/6.28 (define @t297 () (not @t238)) % 6.02/6.28 (define @t298 () (tptp.in @t11 @t45)) % 6.02/6.28 (define @t299 () (tptp.cast_as_carrier_subset @t1)) % 6.02/6.28 (define @t300 () (forall @t108 (=> @t143 @t248))) % 6.02/6.28 (define @t301 () (not @t228)) % 6.02/6.28 (define @t302 () (tptp.is_well_founded_in @t1 @t11)) % 6.02/6.28 (define @t303 () (tptp.apply @t1 @t11)) % 6.02/6.28 (define @t304 () (= @t45 @t303)) % 6.02/6.28 (define @t305 () (tptp.in @t11 @t183)) % 6.02/6.28 (define @t306 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 6.02/6.28 (define @t307 () (tptp.the_carrier @t274)) % 6.02/6.28 (define @t308 () (tptp.element @t11 @t307)) % 6.02/6.28 (define @t309 () (tptp.in (tptp.ordered_pair @t141 @t45) @t1)) % 6.02/6.28 (define @t310 () (tptp.is_antisymmetric_in @t1 @t11)) % 6.02/6.28 (define @t311 () (tptp.cast_to_subset @t1)) % 6.02/6.28 (define @t312 () (tptp.well_ordering @t1)) % 6.02/6.28 (define @t313 () (tptp.relation_rng @t45)) % 6.02/6.28 (define @t314 () (tptp.relation_dom @t45)) % 6.02/6.28 (define @t315 () (= @t314 @t1)) % 6.02/6.28 (define @t316 () (tptp.equipotent @t1 @t11)) % 6.02/6.28 (define @t317 () (tptp.set_difference @t1 @t11)) % 6.02/6.28 (define @t318 () (and @t194 (= @t45 @t193))) % 6.02/6.28 (define @t319 () (tptp.relation_rng @t1)) % 6.02/6.28 (define @t320 () (= @t11 @t319)) % 6.02/6.28 (define @t321 () (tptp.being_limit_ordinal @t1)) % 6.02/6.28 (define @t322 () (tptp.open_subset @t11 @t1)) % 6.02/6.28 (define @t323 () (tptp.subset_complement @t1 @t11)) % 6.02/6.28 (define @t324 () (tptp.ordered_pair @t1 @t11)) % 6.02/6.28 (define @t325 () (tptp.is_connected_in @t1 @t11)) % 6.02/6.28 (define @t326 () (tptp.is_transitive_in @t1 @t11)) % 6.02/6.28 (define @t327 () (tptp.subset_difference @t3 @t299 @t11)) % 6.02/6.28 (define @t328 () (tptp.closed_subset @t11 @t1)) % 6.02/6.28 (define @t329 () (tptp.cartesian_product2 @t11 @t11)) % 6.02/6.28 (define @t330 () (tptp.relation_restriction @t1 @t11)) % 6.02/6.28 (define @t331 () (tptp.relation_inverse @t1)) % 6.02/6.28 (define @t332 () (tptp.apply @t45 @t163)) % 6.02/6.28 (define @t333 () (tptp.apply @t45 @t141)) % 6.02/6.28 (define @t334 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 6.02/6.28 (define @t335 () (and @t74 @t47)) % 6.02/6.28 (define @t336 () (tptp.disjoint @t1 @t11)) % 6.02/6.28 (define @t337 () (= @t141 @t45)) % 6.02/6.28 (define @t338 () (tptp.relstr_set_smaller @t1 @t11 @t141)) % 6.02/6.28 (define @t339 () (tptp.related @t1 @t45 @t141)) % 6.02/6.28 (define @t340 () (forall @t156 (=> @t155 (=> @t338 @t339)))) % 6.02/6.28 (define @t341 () (tptp.relstr_set_smaller @t1 @t11 @t45)) % 6.02/6.28 (define @t342 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 6.02/6.28 (define @t343 () (tptp.relation_of_lattice @t1)) % 6.02/6.28 (define @t344 () (@list @t285)) % 6.02/6.28 (define @t345 () (tptp.relation_composition @t1 @t11)) % 6.02/6.28 (define @t346 () (@list @t45 @t141 @t163)) % 6.02/6.28 (define @t347 () (tptp.complements_of_subsets @t1 @t11)) % 6.02/6.28 (define @t348 () (tptp.powerset @t32)) % 6.02/6.28 (define @t349 () (tptp.element @t11 @t348)) % 6.02/6.28 (define @t350 () (tptp.the_mapping @t1 @t11)) % 6.02/6.28 (define @t351 () (tptp.apply_netmap @t1 @t11 @t45)) % 6.02/6.28 (define @t352 () (tptp.element @t45 @t172)) % 6.02/6.28 (define @t353 () (not @t152)) % 6.02/6.28 (define @t354 () (tptp.the_carrier @t45)) % 6.02/6.28 (define @t355 () (tptp.subnetstr @t45 @t1 @t11)) % 6.02/6.28 (define @t356 () (= @t355 (and (tptp.subrelstr @t45 @t11) (= (tptp.the_mapping @t1 @t45) (tptp.relation_dom_restr_as_relation_of @t172 @t3 @t350 @t354))))) % 6.02/6.28 (define @t357 () (tptp.net_str @t45 @t1)) % 6.02/6.28 (define @t358 () (forall @t108 (=> @t357 @t356))) % 6.02/6.28 (define @t359 () (=> @t177 @t358)) % 6.02/6.28 (define @t360 () (forall @t20 @t359)) % 6.02/6.28 (define @t361 () (=> @t122 @t360)) % 6.02/6.28 (define @t362 () (forall @t6 @t361)) % 6.02/6.28 (define @t363 () (tptp.function_inverse @t1)) % 6.02/6.28 (define @t364 () (tptp.related @t1 @t11 @t45)) % 6.02/6.28 (define @t365 () (tptp.join_on_relstr @t1 @t11)) % 6.02/6.28 (define @t366 () (tptp.rel_str_of @t1 @t11)) % 6.02/6.28 (define @t367 () (tptp.strict_rel_str @t366)) % 6.02/6.28 (define @t368 () (tptp.latt_str_of @t1 @t11 @t45)) % 6.02/6.28 (define @t369 () (tptp.strict_latt_str @t368)) % 6.02/6.28 (define @t370 () (tptp.cartesian_product2 @t1 @t1)) % 6.02/6.28 (define @t371 () (tptp.relation_of2 @t45 @t370 @t1)) % 6.02/6.28 (define @t372 () (tptp.quasi_total @t45 @t370 @t1)) % 6.02/6.28 (define @t373 () (tptp.relation_of2 @t11 @t370 @t1)) % 6.02/6.28 (define @t374 () (tptp.quasi_total @t11 @t370 @t1)) % 6.02/6.28 (define @t375 () (and @t101 @t374 @t373 @t47 @t372 @t371)) % 6.02/6.28 (define @t376 () (tptp.k8_filter_1 @t1 @t11)) % 6.02/6.28 (define @t377 () (tptp.k10_filter_1 @t1 @t11 @t45 @t141)) % 6.02/6.28 (define @t378 () (tptp.lattice @t11)) % 6.02/6.28 (define @t379 () (and @t63 @t55 @t10 @t178 @t378 @t235 @t120 @t175)) % 6.02/6.28 (define @t380 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t141)) % 6.02/6.28 (define @t381 () (tptp.element @t45 @t1)) % 6.02/6.28 (define @t382 () (and @t116 @t110 @t381 (tptp.element @t141 @t11))) % 6.02/6.28 (define @t383 () (tptp.strict_latt_str @t234)) % 6.02/6.28 (define @t384 () (tptp.k1_pcomps_1 @t1)) % 6.02/6.28 (define @t385 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 6.02/6.28 (define @t386 () (and @t204 @t203)) % 6.02/6.28 (define @t387 () (tptp.apply_on_structs @t1 @t11 @t45 @t141)) % 6.02/6.28 (define @t388 () (and @t63 @t122 @t178 (tptp.one_sorted_str @t11) @t47 (tptp.quasi_total @t45 @t3 @t172) (tptp.relation_of2 @t45 @t3 @t172) @t155)) % 6.02/6.28 (define @t389 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t141 @t163 @t285)) % 6.02/6.28 (define @t390 () (tptp.function @t141)) % 6.02/6.28 (define @t391 () (and @t116 @t110 @t390 (tptp.quasi_total @t141 @t75 @t45) (tptp.relation_of2 @t141 @t75 @t45) (tptp.element @t163 @t1) (tptp.element @t285 @t11))) % 6.02/6.28 (define @t392 () (@list @t1 @t11 @t45 @t141 @t163 @t285)) % 6.02/6.28 (define @t393 () (tptp.strict_rel_str @t267)) % 6.02/6.28 (define @t394 () (tptp.antisymmetric_relstr @t274)) % 6.02/6.28 (define @t395 () (tptp.transitive_relstr @t274)) % 6.02/6.28 (define @t396 () (tptp.reflexive_relstr @t274)) % 6.02/6.28 (define @t397 () (tptp.strict_rel_str @t274)) % 6.02/6.28 (define @t398 () (tptp.strict_rel_str @t284)) % 6.02/6.28 (define @t399 () (tptp.relation @t331)) % 6.02/6.28 (define @t400 () (tptp.relation @t345)) % 6.02/6.28 (define @t401 () (and @t72 @t149)) % 6.02/6.28 (define @t402 () (tptp.powerset @t11)) % 6.02/6.28 (define @t403 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 6.02/6.28 (define @t404 () (tptp.union_of_subsets @t1 @t11)) % 6.02/6.28 (define @t405 () (tptp.identity_as_relation_of @t1)) % 6.02/6.28 (define @t406 () (tptp.relation @t147)) % 6.02/6.28 (define @t407 () (tptp.meet_of_subsets @t1 @t11)) % 6.02/6.28 (define @t408 () (tptp.subset_difference @t1 @t11 @t45)) % 6.02/6.28 (define @t409 () (tptp.relation @t169)) % 6.02/6.28 (define @t410 () (tptp.apply_as_element @t1 @t11 @t45 @t141)) % 6.02/6.28 (define @t411 () (and @t116 @t47 @t46 @t50 (tptp.element @t141 @t1))) % 6.02/6.28 (define @t412 () (tptp.relation @t189)) % 6.02/6.28 (define @t413 () (tptp.relation_dom_restr_as_relation_of @t1 @t11 @t45 @t141)) % 6.02/6.28 (define @t414 () (forall @t20 (=> @t177 @t208))) % 6.02/6.28 (define @t415 () (=> @t122 @t414)) % 6.02/6.28 (define @t416 () (forall @t6 @t415)) % 6.02/6.28 (define @t417 () (and @t63 @t217 @t204 @t121)) % 6.02/6.28 (define @t418 () (forall @t108 (=> @t355 @t357))) % 6.02/6.28 (define @t419 () (and @t122 @t177)) % 6.02/6.28 (define @t420 () (=> @t419 @t418)) % 6.02/6.28 (define @t421 () (forall @t15 @t420)) % 6.02/6.28 (define @t422 () (tptp.cartesian_product2 @t3 @t3)) % 6.02/6.28 (define @t423 () (tptp.quasi_total @t7 @t422 @t3)) % 6.02/6.28 (define @t424 () (tptp.function @t7)) % 6.02/6.28 (define @t425 () (tptp.quasi_total @t8 @t422 @t3)) % 6.02/6.28 (define @t426 () (tptp.function @t8)) % 6.02/6.28 (define @t427 () (tptp.finite @t131)) % 6.02/6.28 (define @t428 () (tptp.relation_composition @t11 @t1)) % 6.02/6.28 (define @t429 () (and @t30 @t149)) % 6.02/6.28 (define @t430 () (tptp.relation_empty_yielding tptp.empty_set)) % 6.02/6.28 (define @t431 () (tptp.relation tptp.empty_set)) % 6.02/6.28 (define @t432 () (tptp.empty tptp.empty_set)) % 6.02/6.28 (define @t433 () (tptp.relation_empty_yielding @t1)) % 6.02/6.28 (define @t434 () (and @t72 @t433)) % 6.02/6.28 (define @t435 () (and @t41 @t82)) % 6.02/6.28 (define @t436 () (not (tptp.empty @t241))) % 6.02/6.28 (define @t437 () (not (tptp.empty @t32))) % 6.02/6.28 (define @t438 () (tptp.boolean_lattstr @t234)) % 6.02/6.28 (define @t439 () (tptp.complemented_lattstr @t234)) % 6.02/6.28 (define @t440 () (tptp.bounded_lattstr @t234)) % 6.02/6.28 (define @t441 () (tptp.upper_bounded_semilattstr @t234)) % 6.02/6.28 (define @t442 () (tptp.lower_bounded_semilattstr @t234)) % 6.02/6.28 (define @t443 () (tptp.modular_lattstr @t234)) % 6.02/6.28 (define @t444 () (tptp.distributive_lattstr @t234)) % 6.02/6.28 (define @t445 () (tptp.lattice @t234)) % 6.02/6.28 (define @t446 () (tptp.join_absorbing @t234)) % 6.02/6.28 (define @t447 () (tptp.meet_absorbing @t234)) % 6.02/6.28 (define @t448 () (tptp.meet_associative @t234)) % 6.02/6.28 (define @t449 () (tptp.meet_commutative @t234)) % 6.02/6.28 (define @t450 () (tptp.join_associative @t234)) % 6.02/6.28 (define @t451 () (tptp.join_commutative @t234)) % 6.02/6.28 (define @t452 () (not (tptp.empty_carrier @t234))) % 6.02/6.28 (define @t453 () (not (tptp.empty @t242))) % 6.02/6.28 (define @t454 () (tptp.rel_str_of @t241 @t11)) % 6.02/6.28 (define @t455 () (tptp.with_infima_relstr @t274)) % 6.02/6.28 (define @t456 () (tptp.with_suprema_relstr @t274)) % 6.02/6.28 (define @t457 () (not (tptp.empty_carrier @t274))) % 6.02/6.28 (define @t458 () (tptp.v1_membered @t131)) % 6.02/6.28 (define @t459 () (tptp.v1_membered @t130)) % 6.02/6.28 (define @t460 () (tptp.v2_membered @t131)) % 6.02/6.28 (define @t461 () (tptp.ordinal @t242)) % 6.02/6.28 (define @t462 () (tptp.epsilon_connected @t242)) % 6.02/6.28 (define @t463 () (tptp.epsilon_transitive @t242)) % 6.02/6.28 (define @t464 () (not (tptp.empty @t124))) % 6.02/6.28 (define @t465 () (tptp.function @t147)) % 6.02/6.28 (define @t466 () (tptp.v1_partfun1 @t8 @t422 @t3)) % 6.02/6.28 (define @t467 () (tptp.relation @t8)) % 6.02/6.28 (define @t468 () (and @t63 @t61 @t128)) % 6.02/6.28 (define @t469 () (and @t217 @t204 @t203)) % 6.02/6.28 (define @t470 () (tptp.upper_bounded_relstr @t274)) % 6.02/6.28 (define @t471 () (tptp.v2_membered @t130)) % 6.02/6.28 (define @t472 () (tptp.v3_membered @t131)) % 6.02/6.28 (define @t473 () (tptp.v3_membered @t130)) % 6.02/6.28 (define @t474 () (tptp.v4_membered @t131)) % 6.02/6.28 (define @t475 () (tptp.v4_membered @t130)) % 6.02/6.28 (define @t476 () (tptp.v1_membered @t317)) % 6.02/6.28 (define @t477 () (tptp.v2_membered @t317)) % 6.02/6.28 (define @t478 () (tptp.v3_membered @t317)) % 6.02/6.28 (define @t479 () (tptp.transitive @t11)) % 6.02/6.28 (define @t480 () (tptp.antisymmetric @t11)) % 6.02/6.28 (define @t481 () (tptp.open_subset @t255 @t1)) % 6.02/6.28 (define @t482 () (tptp.lower_bounded_relstr @t274)) % 6.02/6.28 (define @t483 () (tptp.v4_membered @t317)) % 6.02/6.28 (define @t484 () (tptp.v1_partfun1 @t7 @t422 @t3)) % 6.02/6.28 (define @t485 () (tptp.relation @t7)) % 6.02/6.28 (define @t486 () (tptp.closed_subset @t255 @t1)) % 6.02/6.28 (define @t487 () (and @t149 @t101)) % 6.02/6.28 (define @t488 () (and @t217 @t204)) % 6.02/6.28 (define @t489 () (tptp.empty @t183)) % 6.02/6.28 (define @t490 () (and @t116 @t72)) % 6.02/6.28 (define @t491 () (tptp.antisymmetric_relstr @t267)) % 6.02/6.28 (define @t492 () (tptp.transitive_relstr @t267)) % 6.02/6.28 (define @t493 () (tptp.reflexive_relstr @t267)) % 6.02/6.28 (define @t494 () (tptp.empty @t319)) % 6.02/6.28 (define @t495 () (tptp.open_subset @t256 @t1)) % 6.02/6.28 (define @t496 () (tptp.antisymmetric_relstr @t284)) % 6.02/6.28 (define @t497 () (tptp.transitive_relstr @t284)) % 6.02/6.28 (define @t498 () (tptp.reflexive_relstr @t284)) % 6.02/6.28 (define @t499 () (not (tptp.empty_carrier @t284))) % 6.02/6.28 (define @t500 () (and @t178 @t378 @t235)) % 6.02/6.28 (define @t501 () (= @t1 @t141)) % 6.02/6.28 (define @t502 () (exists @t156 (and @t175 @t501 (tptp.latt_set_smaller @t11 @t141 @t45)))) % 6.02/6.28 (define @t503 () (= @t1 @t45)) % 6.02/6.28 (define @t504 () (and @t503 @t276)) % 6.02/6.28 (define @t505 () (= @t45 @t285)) % 6.02/6.28 (define @t506 () (@list @t141 @t163 @t285)) % 6.02/6.28 (define @t507 () (tptp.in @t11 @t190)) % 6.02/6.28 (define @t508 () (tptp.disjoint @t241 @t11)) % 6.02/6.28 (define @t509 () (not @t14)) % 6.02/6.28 (define @t510 () (tptp.well_ordering @t11)) % 6.02/6.28 (define @t511 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 6.02/6.28 (define @t512 () (tptp.singleton @t45)) % 6.02/6.28 (define @t513 () (not @t226)) % 6.02/6.28 (define @t514 () (tptp.singleton @t11)) % 6.02/6.28 (define @t515 () (tptp.union @t11)) % 6.02/6.28 (define @t516 () (tptp.in @t1 @t45)) % 6.02/6.28 (define @t517 () (tptp.element @t1 @t402)) % 6.02/6.28 (define @t518 () (tptp.relation_dom_restriction @t45 @t1)) % 6.02/6.28 (define @t519 () (tptp.in @t11 (tptp.relation_dom @t518))) % 6.02/6.28 (define @t520 () (tptp.proper_element @t11 @t32)) % 6.02/6.28 (define @t521 () (tptp.unordered_pair @t11 @t45)) % 6.02/6.28 (define @t522 () (tptp.set_union2 @t11 @t45)) % 6.02/6.28 (define @t523 () (tptp.set_intersection2 @t11 @t45)) % 6.02/6.28 (define @t524 () (tptp.set_difference @t11 @t45)) % 6.02/6.28 (define @t525 () (tptp.below_refl @t1 @t11 @t45)) % 6.02/6.28 (define @t526 () (and @t63 @t59 @t57 @t56 @t10 @t121 @t120)) % 6.02/6.28 (define @t527 () (and @t63 @t91 @t5 @t121 @t120)) % 6.02/6.28 (define @t528 () (@var "K" $$unsorted)) % 6.02/6.28 (define @t529 () (@var "J" $$unsorted)) % 6.02/6.28 (define @t530 () (tptp.in @t528 @t529)) % 6.02/6.28 (define @t531 () (@list @t528)) % 6.02/6.28 (define @t532 () (@list @t529)) % 6.02/6.28 (define @t533 () (= @t141 @t163)) % 6.02/6.28 (define @t534 () (@var "I" $$unsorted)) % 6.02/6.28 (define @t535 () (@var "H" $$unsorted)) % 6.02/6.28 (define @t536 () (tptp.in @t534 @t535)) % 6.02/6.28 (define @t537 () (@list @t534)) % 6.02/6.28 (define @t538 () (@list @t535)) % 6.02/6.28 (define @t539 () (exists @t538 (and (= @t45 @t535) (tptp.in @t163 @t535) (forall @t537 (=> @t536 (tptp.in (tptp.ordered_pair @t163 @t534) @t11)))))) % 6.02/6.28 (define @t540 () (@var "G" $$unsorted)) % 6.02/6.28 (define @t541 () (tptp.in @t540 @t285)) % 6.02/6.28 (define @t542 () (@list @t540)) % 6.02/6.28 (define @t543 () (exists @t344 (and @t505 (tptp.in @t141 @t285) (forall @t542 (=> @t541 (tptp.in (tptp.ordered_pair @t141 @t540) @t11)))))) % 6.02/6.28 (define @t544 () (forall @t346 (=> (and @t143 @t543 @t143 @t539) @t533))) % 6.02/6.28 (define @t545 () (and @t116 @t149)) % 6.02/6.28 (define @t546 () (= @t141 @t514)) % 6.02/6.28 (define @t547 () (= @t45 @t514)) % 6.02/6.28 (define @t548 () (forall @t227 (=> (and @t12 @t547 @t12 @t546) @t142))) % 6.02/6.28 (define @t549 () (tptp.subset_complement @t3 @t535)) % 6.02/6.28 (define @t550 () (= @t535 @t141)) % 6.02/6.28 (define @t551 () (tptp.element @t535 @t199)) % 6.02/6.28 (define @t552 () (forall @t538 (=> @t551 (=> @t550 (= @t163 @t549))))) % 6.02/6.28 (define @t553 () (tptp.complements_of_subsets @t3 @t11)) % 6.02/6.28 (define @t554 () (tptp.in @t141 @t553)) % 6.02/6.28 (define @t555 () (tptp.element @t540 @t199)) % 6.02/6.28 (define @t556 () (forall @t542 (=> @t555 (=> (= @t540 @t45) (= @t163 (tptp.subset_complement @t3 @t540)))))) % 6.02/6.28 (define @t557 () (tptp.in @t45 @t553)) % 6.02/6.28 (define @t558 () (tptp.element @t285 @t199)) % 6.02/6.28 (define @t559 () (forall @t344 (=> @t558 (=> (= @t285 @t45) (= @t141 (tptp.subset_complement @t3 @t285)))))) % 6.02/6.28 (define @t560 () (forall @t346 (=> (and @t557 @t559 @t557 @t556) @t533))) % 6.02/6.28 (define @t561 () (and @t122 @t247)) % 6.02/6.28 (define @t562 () (forall @t346 (=> (and @t248 @t559 @t248 @t556) @t533))) % 6.02/6.28 (define @t563 () (tptp.ordinal @t45)) % 6.02/6.28 (define @t564 () (@var "S" $$unsorted)) % 6.02/6.28 (define @t565 () (@var "T" $$unsorted)) % 6.02/6.28 (define @t566 () (@var "R" $$unsorted)) % 6.02/6.28 (define @t567 () (tptp.powerset (tptp.powerset @t141))) % 6.02/6.28 (define @t568 () (@list @t566)) % 6.02/6.28 (define @t569 () (tptp.in @t141 tptp.omega)) % 6.02/6.28 (define @t570 () (tptp.ordinal @t141)) % 6.02/6.28 (define @t571 () (@var "P" $$unsorted)) % 6.02/6.28 (define @t572 () (@var "Q" $$unsorted)) % 6.02/6.28 (define @t573 () (@var "O" $$unsorted)) % 6.02/6.28 (define @t574 () (@list @t572)) % 6.02/6.28 (define @t575 () (@list @t571)) % 6.02/6.28 (define @t576 () (@list @t573)) % 6.02/6.28 (define @t577 () (@var "M" $$unsorted)) % 6.02/6.28 (define @t578 () (@var "N" $$unsorted)) % 6.02/6.28 (define @t579 () (@var "L" $$unsorted)) % 6.02/6.28 (define @t580 () (@list @t578)) % 6.02/6.28 (define @t581 () (tptp.in @t577 @t579)) % 6.02/6.28 (define @t582 () (@list @t577)) % 6.02/6.28 (define @t583 () (@list @t579)) % 6.02/6.28 (define @t584 () (tptp.succ @t141)) % 6.02/6.28 (define @t585 () (=> @t569 (forall @t174 (=> (tptp.element @t163 @t567) (not (and (not (= @t163 tptp.empty_set)) (forall @t344 (not (and (tptp.in @t285 @t163) (forall @t542 (=> (and (tptp.in @t540 @t163) (tptp.subset @t285 @t540)) (= @t540 @t285)))))))))))) % 6.02/6.28 (define @t586 () (tptp.subset @t11 @t45)) % 6.02/6.28 (define @t587 () (tptp.powerset tptp.empty_set)) % 6.02/6.28 (define @t588 () (tptp.apply @t45 @t285)) % 6.02/6.28 (define @t589 () (tptp.in @t285 @t1)) % 6.02/6.28 (define @t590 () (tptp.relation @t141)) % 6.02/6.28 (define @t591 () (and @t149 @t74 @t47)) % 6.02/6.28 (define @t592 () (forall @t531 (=> @t530 (tptp.in (tptp.ordered_pair @t141 @t528) @t11)))) % 6.02/6.28 (define @t593 () (tptp.in @t141 @t529)) % 6.02/6.28 (define @t594 () (= @t285 @t163)) % 6.02/6.28 (define @t595 () (tptp.cartesian_product2 @t1 @t45)) % 6.02/6.28 (define @t596 () (= @t163 @t285)) % 6.02/6.28 (define @t597 () (tptp.ordered_pair @t528 @t579)) % 6.02/6.28 (define @t598 () (@list @t528 @t579)) % 6.02/6.28 (define @t599 () (= @t141 @t285)) % 6.02/6.28 (define @t600 () (tptp.in @t529 @t534)) % 6.02/6.28 (define @t601 () (tptp.in @t540 @t1)) % 6.02/6.28 (define @t602 () (tptp.ordered_pair @t540 @t535)) % 6.02/6.28 (define @t603 () (= @t602 @t163)) % 6.02/6.28 (define @t604 () (@list @t540 @t535)) % 6.02/6.28 (define @t605 () (tptp.powerset @t45)) % 6.02/6.28 (define @t606 () (tptp.in @t529 @t11)) % 6.02/6.28 (define @t607 () (tptp.in @t535 @t11)) % 6.02/6.28 (define @t608 () (tptp.element @t535 @t3)) % 6.02/6.28 (define @t609 () (= @t540 @t163)) % 6.02/6.28 (define @t610 () (tptp.element @t45 @t402)) % 6.02/6.28 (define @t611 () (and @t63 @t90 @t5 @t203 @t289 @t610)) % 6.02/6.28 (define @t612 () (tptp.ordered_pair @t529 @t528)) % 6.02/6.28 (define @t613 () (@list @t529 @t528)) % 6.02/6.28 (define @t614 () (= @t163 @t141)) % 6.02/6.28 (define @t615 () (tptp.in @t535 @t1)) % 6.02/6.28 (define @t616 () (= @t45 @t163)) % 6.02/6.28 (define @t617 () (tptp.ordered_pair @t285 @t540)) % 6.02/6.28 (define @t618 () (@list @t285 @t540)) % 6.02/6.28 (define @t619 () (not (and (not (= @t285 tptp.empty_set)) (forall @t542 (not (and @t541 (forall @t538 (=> (and (tptp.in @t535 @t285) (tptp.subset @t540 @t535)) (= @t535 @t540))))))))) % 6.02/6.28 (define @t620 () (tptp.ordinal @t163)) % 6.02/6.28 (define @t621 () (tptp.subset @t11 @t141)) % 6.02/6.28 (define @t622 () (tptp.in @t163 @t199)) % 6.02/6.28 (define @t623 () (= @t285 @t141)) % 6.02/6.28 (define @t624 () (tptp.in (tptp.set_difference @t299 @t141) @t11)) % 6.02/6.28 (define @t625 () (and @t217 @t204 @t247)) % 6.02/6.28 (define @t626 () (tptp.in @t540 @t11)) % 6.02/6.28 (define @t627 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t242))))) % 6.02/6.28 (define @t628 () (= @t141 @t549)) % 6.02/6.28 (define @t629 () (forall @t538 (=> @t551 (=> (= @t535 @t163) @t628)))) % 6.02/6.28 (define @t630 () (tptp.in @t163 @t553)) % 6.02/6.28 (define @t631 () (forall @t576 (=> (tptp.element @t573 @t199) (=> (= @t573 @t577) (= @t578 (tptp.subset_complement @t3 @t573)))))) % 6.02/6.28 (define @t632 () (= (tptp.ordered_pair @t577 @t578) @t163)) % 6.02/6.28 (define @t633 () (@list @t577 @t578)) % 6.02/6.28 (define @t634 () (tptp.cartesian_product2 @t553 @t45)) % 6.02/6.28 (define @t635 () (forall @t583 (=> (tptp.element @t579 @t199) (=> (= @t579 @t529) (= @t528 (tptp.subset_complement @t3 @t579)))))) % 6.02/6.28 (define @t636 () (= @t612 @t285)) % 6.02/6.28 (define @t637 () (tptp.subset_complement @t3 @t534)) % 6.02/6.28 (define @t638 () (tptp.element @t534 @t199)) % 6.02/6.28 (define @t639 () (forall @t537 (=> @t638 (=> (= @t534 @t540) (= @t535 @t637))))) % 6.02/6.28 (define @t640 () (tptp.cartesian_product2 @t11 @t45)) % 6.02/6.28 (define @t641 () (tptp.apply @t45 @t540)) % 6.02/6.28 (define @t642 () (tptp.in (tptp.relation_image @t45 @t163) @t11)) % 6.02/6.28 (define @t643 () (tptp.powerset @t314)) % 6.02/6.28 (define @t644 () (and @t349 @t74 @t47)) % 6.02/6.28 (define @t645 () (tptp.succ @t11)) % 6.02/6.28 (define @t646 () (= @t163 @t540)) % 6.02/6.28 (define @t647 () (= @t617 @t163)) % 6.02/6.28 (define @t648 () (exists @t542 (and (tptp.element @t540 @t3) @t626 (tptp.relstr_set_smaller @t1 @t285 @t540)))) % 6.02/6.28 (define @t649 () (tptp.singleton @t163)) % 6.02/6.28 (define @t650 () (exists @t174 (and @t200 @t614 (tptp.closed_subset @t163 @t1) @t621))) % 6.02/6.28 (define @t651 () (tptp.in @t141 @t199)) % 6.02/6.28 (define @t652 () (forall @t538 (=> @t551 (=> (= @t535 @t285) (= @t540 @t549))))) % 6.02/6.28 (define @t653 () (tptp.in @t163 @t45)) % 6.02/6.28 (define @t654 () (tptp.apply @t11 @t45)) % 6.02/6.28 (define @t655 () (= @t223 @t1)) % 6.02/6.28 (define @t656 () (exists @t20 (and @t149 @t101 @t655 (forall @t108 (=> @t143 (= @t654 @t512)))))) % 6.02/6.28 (define @t657 () (forall @t537 (=> @t638 (=> (= @t534 @t141) (= @t333 @t637))))) % 6.02/6.28 (define @t658 () (forall @t156 (not (forall @t538 (=> @t551 (=> (= @t535 @t45) @t628)))))) % 6.02/6.28 (define @t659 () (tptp.in @t1 tptp.omega)) % 6.02/6.28 (define @t660 () (tptp.element @t141 @t199)) % 6.02/6.28 (define @t661 () (= @t347 tptp.empty_set)) % 6.02/6.28 (define @t662 () (not (and @t272 @t661))) % 6.02/6.28 (define @t663 () (tptp.relation_rng @t189)) % 6.02/6.28 (define @t664 () (tptp.meet_of_subsets @t1 @t347)) % 6.02/6.28 (define @t665 () (tptp.union_of_subsets @t1 @t347)) % 6.02/6.28 (define @t666 () (forall @t108 (not (and @t290 (not (tptp.are_equipotent @t45 @t11)) @t296)))) % 6.02/6.28 (define @t667 () (forall @t146 (=> (and @t248 (tptp.subset @t141 @t45)) @t166))) % 6.02/6.28 (define @t668 () (tptp.meet_of_subsets @t3 @t11)) % 6.02/6.28 (define @t669 () (tptp.relation_dom_restriction @t45 @t11)) % 6.02/6.28 (define @t670 () (tptp.relation_image @t11 @t1)) % 6.02/6.28 (define @t671 () (tptp.relation_inverse_image @t11 @t1)) % 6.02/6.28 (define @t672 () (tptp.relation_image @t11 @t671)) % 6.02/6.28 (define @t673 () (tptp.set_intersection2 @t223 @t1)) % 6.02/6.28 (define @t674 () (tptp.subset @t1 @t224)) % 6.02/6.28 (define @t675 () (tptp.relation_of2_as_subset @t141 @t45 @t11)) % 6.02/6.28 (define @t676 () (tptp.relation_rng @t141)) % 6.02/6.28 (define @t677 () (tptp.relation_of2_as_subset @t141 @t45 @t1)) % 6.02/6.28 (define @t678 () (and @t89 @t5)) % 6.02/6.28 (define @t679 () (tptp.relation_rng @t345)) % 6.02/6.28 (define @t680 () (tptp.relation_inverse_image @t45 @t11)) % 6.02/6.28 (define @t681 () (tptp.relation_restriction @t45 @t11)) % 6.02/6.28 (define @t682 () (tptp.relation_restriction @t11 @t1)) % 6.02/6.28 (define @t683 () (tptp.relation_dom_restriction @t11 @t1)) % 6.02/6.28 (define @t684 () (tptp.relation_field @t45)) % 6.02/6.28 (define @t685 () (tptp.in @t1 @t684)) % 6.02/6.28 (define @t686 () (tptp.subset @t1 @t45)) % 6.02/6.28 (define @t687 () (tptp.the_carrier @t234)) % 6.02/6.28 (define @t688 () (tptp.element @t45 @t687)) % 6.02/6.28 (define @t689 () (tptp.element @t11 @t687)) % 6.02/6.28 (define @t690 () (tptp.element @t1 @t11)) % 6.02/6.28 (define @t691 () (tptp.relstr_set_smaller @t1 @t45 @t141)) % 6.02/6.28 (define @t692 () (tptp.in @t1 @t314)) % 6.02/6.28 (define @t693 () (tptp.in @t324 @t45)) % 6.02/6.28 (define @t694 () (tptp.relation_field @t682)) % 6.02/6.28 (define @t695 () (tptp.related @t45 @t285 @t540)) % 6.02/6.28 (define @t696 () (and @t599 @t646 @t695)) % 6.02/6.28 (define @t697 () (=> @t696 @t171)) % 6.02/6.28 (define @t698 () (tptp.element @t540 @t354)) % 6.02/6.28 (define @t699 () (forall @t542 (=> @t698 @t697))) % 6.02/6.28 (define @t700 () (tptp.element @t285 @t354)) % 6.02/6.28 (define @t701 () (=> @t700 @t699)) % 6.02/6.28 (define @t702 () (forall @t344 @t701)) % 6.02/6.28 (define @t703 () (=> @t173 @t702)) % 6.02/6.28 (define @t704 () (forall @t174 @t703)) % 6.02/6.28 (define @t705 () (=> @t175 @t704)) % 6.02/6.28 (define @t706 () (forall @t156 @t705)) % 6.02/6.28 (define @t707 () (=> @t355 @t706)) % 6.02/6.28 (define @t708 () (forall @t108 @t707)) % 6.02/6.28 (define @t709 () (=> @t177 @t708)) % 6.02/6.28 (define @t710 () (forall @t20 @t709)) % 6.02/6.28 (define @t711 () (=> @t122 @t710)) % 6.02/6.28 (define @t712 () (forall @t6 @t711)) % 6.02/6.28 (define @t713 () (not @t712)) % 6.02/6.28 (define @t714 () (tptp.apply @t45 @t1)) % 6.02/6.28 (define @t715 () (tptp.relation_composition @t45 @t11)) % 6.02/6.28 (define @t716 () (tptp.in @t1 (tptp.relation_dom @t715))) % 6.02/6.28 (define @t717 () (tptp.apply @t141 @t45)) % 6.02/6.28 (define @t718 () (and @t390 (tptp.quasi_total @t141 @t1 @t11) (tptp.relation_of2_as_subset @t141 @t1 @t11))) % 6.02/6.28 (define @t719 () (tptp.connected @t11)) % 6.02/6.28 (define @t720 () (tptp.well_ordering @t682)) % 6.02/6.28 (define @t721 () (= @t694 @t1)) % 6.02/6.28 (define @t722 () (tptp.well_orders @t11 @t1)) % 6.02/6.28 (define @t723 () (tptp.related @t1 @t11 @t141)) % 6.02/6.28 (define @t724 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 6.02/6.28 (define @t725 () (tptp.poset_of_lattice @t11)) % 6.02/6.28 (define @t726 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 6.02/6.28 (define @t727 () (tptp.element @t45 (tptp.the_carrier @t725))) % 6.02/6.28 (define @t728 () (tptp.the_carrier @t284)) % 6.02/6.28 (define @t729 () (and (= @t11 (tptp.join_on_relstr @t1 @t45)) (tptp.ex_sup_of_relstr_set @t1 @t45))) % 6.02/6.28 (define @t730 () (and (tptp.relstr_set_smaller @t1 @t45 @t11) (forall @t156 (=> @t155 (=> @t691 @t723))))) % 6.02/6.28 (define @t731 () (tptp.well_founded_relation @t11)) % 6.02/6.28 (define @t732 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 6.02/6.28 (define @t733 () (and @t143 @t248)) % 6.02/6.28 (define @t734 () (not @t336)) % 6.02/6.28 (define @t735 () (= @t1 @t645)) % 6.02/6.28 (define @t736 () (and @t63 @t89 @t106 @t5)) % 6.02/6.28 (define @t737 () (tptp.subset_complement @t1 @t45)) % 6.02/6.28 (define @t738 () (tptp.disjoint @t11 @t45)) % 6.02/6.28 (define @t739 () (tptp.relation_dom @t345)) % 6.02/6.28 (define @t740 () (and (tptp.closed_subset @t141 @t1) @t621)) % 6.02/6.28 (define @t741 () (tptp.in @t45 @t201)) % 6.02/6.28 (define @t742 () (tptp.element @t11 @t605)) % 6.02/6.28 (define @t743 () (tptp.in @t45 @t131)) % 6.02/6.28 (define @t744 () (= @t201 @t11)) % 6.02/6.28 (define @t745 () (and (tptp.in @t45 @t319) (= @t141 @t654))) % 6.02/6.28 (define @t746 () (tptp.function_inverse @t11)) % 6.02/6.28 (define @t747 () (tptp.related @t11 @t163 @t285)) % 6.02/6.28 (define @t748 () (and @t219 @t623 @t747)) % 6.02/6.28 (define @t749 () (=> @t748 @t339)) % 6.02/6.28 (define @t750 () (tptp.element @t285 @t172)) % 6.02/6.28 (define @t751 () (=> @t750 @t749)) % 6.02/6.28 (define @t752 () (forall @t344 @t751)) % 6.02/6.28 (define @t753 () (=> @t173 @t752)) % 6.02/6.28 (define @t754 () (forall @t174 @t753)) % 6.02/6.28 (define @t755 () (=> @t155 @t754)) % 6.02/6.28 (define @t756 () (forall @t156 @t755)) % 6.02/6.28 (define @t757 () (=> @t120 @t756)) % 6.02/6.28 (define @t758 () (forall @t108 @t757)) % 6.02/6.28 (define @t759 () (=> @t207 @t758)) % 6.02/6.28 (define @t760 () (forall @t20 @t759)) % 6.02/6.28 (define @t761 () (=> @t5 @t760)) % 6.02/6.28 (define @t762 () (forall @t6 @t761)) % 6.02/6.28 (define @t763 () (= @t319 tptp.empty_set)) % 6.02/6.28 (define @t764 () (= @t183 tptp.empty_set)) % 6.02/6.28 (define @t765 () (= (tptp.apply @t518 @t11) (tptp.apply @t45 @t11))) % 6.02/6.28 (define @t766 () (= @t241 @t521)) % 6.02/6.28 (define @t767 () (@var "BOUND_VARIABLE_24133" $$unsorted)) % 6.02/6.28 (define @t768 () (@var "BOUND_VARIABLE_24131" $$unsorted)) % 6.02/6.28 (define @t769 () (@var "BOUND_VARIABLE_24129" $$unsorted)) % 6.02/6.28 (define @t770 () (not (tptp.related @t769 @t768 @t767))) % 6.02/6.28 (define @t771 () (tptp.the_carrier @t769)) % 6.02/6.28 (define @t772 () (not (tptp.element @t767 @t771))) % 6.02/6.28 (define @t773 () (tptp.related @t1 @t768 @t767)) % 6.02/6.28 (define @t774 () (not (tptp.element @t767 @t3))) % 6.02/6.28 (define @t775 () (not (tptp.element @t768 @t771))) % 6.02/6.28 (define @t776 () (not (tptp.element @t768 @t3))) % 6.02/6.28 (define @t777 () (not (tptp.subrelstr @t769 @t1))) % 6.02/6.28 (define @t778 () (not @t5)) % 6.02/6.28 (define @t779 () (or @t778 @t777 @t776 @t775 @t774 @t773 @t772 @t770)) % 6.02/6.28 (define @t780 () (or @t777 @t776 @t775 @t774 @t773 @t772 @t770)) % 6.02/6.28 (define @t781 () (or @t778 @t780)) % 6.02/6.28 (define @t782 () (@list @t1 @t769 @t768 @t767)) % 6.02/6.28 (define @t783 () (forall @t782 @t781)) % 6.02/6.28 (define @t784 () (@list @t769 @t768 @t767)) % 6.02/6.28 (define @t785 () (forall @t784 @t781)) % 6.02/6.28 (define @t786 () (forall @t784 @t780)) % 6.02/6.28 (define @t787 () (@var "BOUND_VARIABLE_24106" $$unsorted)) % 6.02/6.28 (define @t788 () (@var "BOUND_VARIABLE_24104" $$unsorted)) % 6.02/6.28 (define @t789 () (or @t778 @t786)) % 6.02/6.28 (define @t790 () (not (tptp.related @t11 @t788 @t787))) % 6.02/6.28 (define @t791 () (not (tptp.element @t787 @t172))) % 6.02/6.28 (define @t792 () (tptp.related @t1 @t788 @t787)) % 6.02/6.28 (define @t793 () (not (tptp.element @t787 @t3))) % 6.02/6.28 (define @t794 () (not (tptp.element @t788 @t172))) % 6.02/6.28 (define @t795 () (not (tptp.element @t788 @t3))) % 6.02/6.28 (define @t796 () (not @t207)) % 6.02/6.28 (define @t797 () (or @t796 @t795 @t794 @t793 @t792 @t791 @t790)) % 6.02/6.28 (define @t798 () (@list @t11 @t788 @t787)) % 6.02/6.28 (define @t799 () (forall @t798 @t797)) % 6.02/6.28 (define @t800 () (or @t795 @t794 @t793 @t792 @t791 @t790)) % 6.02/6.28 (define @t801 () (or @t796 @t800)) % 6.02/6.28 (define @t802 () (forall @t798 @t801)) % 6.02/6.28 (define @t803 () (@list @t788 @t787)) % 6.02/6.28 (define @t804 () (forall @t803 @t801)) % 6.02/6.28 (define @t805 () (forall @t803 @t800)) % 6.02/6.28 (define @t806 () (@var "BOUND_VARIABLE_24085" $$unsorted)) % 6.02/6.28 (define @t807 () (or @t796 @t805)) % 6.02/6.28 (define @t808 () (not (tptp.related @t11 @t45 @t806))) % 6.02/6.28 (define @t809 () (not (tptp.element @t806 @t172))) % 6.02/6.28 (define @t810 () (tptp.related @t1 @t45 @t806)) % 6.02/6.28 (define @t811 () (not (tptp.element @t806 @t3))) % 6.02/6.28 (define @t812 () (not @t352)) % 6.02/6.28 (define @t813 () (not @t120)) % 6.02/6.28 (define @t814 () (or @t813 @t812 @t811 @t810 @t809 @t808)) % 6.02/6.28 (define @t815 () (@list @t45 @t806)) % 6.02/6.28 (define @t816 () (forall @t815 @t814)) % 6.02/6.28 (define @t817 () (or @t811 @t810 @t809 @t808)) % 6.02/6.28 (define @t818 () (or @t813 @t812 @t817)) % 6.02/6.28 (define @t819 () (forall @t815 @t818)) % 6.02/6.28 (define @t820 () (@list @t806)) % 6.02/6.28 (define @t821 () (forall @t820 @t818)) % 6.02/6.28 (define @t822 () (forall @t820 @t817)) % 6.02/6.28 (define @t823 () (or @t813 @t812 @t822)) % 6.02/6.28 (define @t824 () (not (tptp.related @t11 @t45 @t141))) % 6.02/6.28 (define @t825 () (not @t175)) % 6.02/6.28 (define @t826 () (not @t155)) % 6.02/6.28 (define @t827 () (or @t826 @t339 @t825 @t824)) % 6.02/6.28 (define @t828 () (forall @t156 @t827)) % 6.02/6.28 (define @t829 () (or @t813 @t812 @t828)) % 6.02/6.28 (define @t830 () (or @t812 @t828)) % 6.02/6.28 (define @t831 () (or @t812 @t827)) % 6.02/6.28 (define @t832 () (or @t826 @t339 @t825 @t812 @t824)) % 6.02/6.28 (define @t833 () (or @t339 @t825 @t812 @t824)) % 6.02/6.28 (define @t834 () (or @t812 @t824)) % 6.02/6.28 (define @t835 () (not (= @t45 @t45))) % 6.02/6.28 (define @t836 () (or @t812 @t835 @t824)) % 6.02/6.28 (define @t837 () (not (tptp.related @t11 @t163 @t141))) % 6.02/6.28 (define @t838 () (not @t616)) % 6.02/6.28 (define @t839 () (not @t173)) % 6.02/6.28 (define @t840 () (or @t838 @t839 @t838 @t837)) % 6.02/6.28 (define @t841 () (or @t839 @t838 @t837)) % 6.02/6.28 (define @t842 () (forall @t174 @t841)) % 6.02/6.28 (define @t843 () (or @t339 @t825 @t842)) % 6.02/6.28 (define @t844 () (or @t339 @t825 @t841)) % 6.02/6.28 (define @t845 () (or @t839 @t838 @t339 @t825 @t837)) % 6.02/6.28 (define @t846 () (or @t838 @t339 @t825 @t837)) % 6.02/6.28 (define @t847 () (or @t825 @t837)) % 6.02/6.28 (define @t848 () (not (= @t141 @t141))) % 6.02/6.28 (define @t849 () (or @t825 @t848 @t837)) % 6.02/6.28 (define @t850 () (not @t747)) % 6.02/6.28 (define @t851 () (not @t599)) % 6.02/6.28 (define @t852 () (not @t750)) % 6.02/6.28 (define @t853 () (not @t623)) % 6.02/6.28 (define @t854 () (or @t851 @t852 @t851 @t850)) % 6.02/6.28 (define @t855 () (or @t852 @t851 @t850)) % 6.02/6.28 (define @t856 () (forall @t344 @t855)) % 6.02/6.28 (define @t857 () (or @t838 @t339 @t856)) % 6.02/6.28 (define @t858 () (or @t838 @t339 @t855)) % 6.02/6.28 (define @t859 () (or @t852 @t838 @t851 @t850 @t339)) % 6.02/6.28 (define @t860 () (or @t838 @t851 @t850 @t339)) % 6.02/6.28 (define @t861 () (or @t838 @t851 @t850)) % 6.02/6.28 (define @t862 () (and @t616 @t599 @t747)) % 6.02/6.28 (define @t863 () (=> @t862 @t339)) % 6.02/6.28 (define @t864 () (@var "BOUND_VARIABLE_15858" $$unsorted)) % 6.02/6.28 (define @t865 () (@var "BOUND_VARIABLE_15856" $$unsorted)) % 6.02/6.28 (define @t866 () (= (tptp.subnetstr @t864 @t1 @t865) (and (tptp.subrelstr @t864 @t865) (= (tptp.the_mapping @t1 @t864) (tptp.relation_dom_restr_as_relation_of (tptp.the_carrier @t865) @t3 (tptp.the_mapping @t1 @t865) (tptp.the_carrier @t864)))))) % 6.02/6.28 (define @t867 () (not (tptp.net_str @t864 @t1))) % 6.02/6.28 (define @t868 () (not (tptp.net_str @t865 @t1))) % 6.02/6.28 (define @t869 () (not @t122)) % 6.02/6.28 (define @t870 () (or @t868 @t867 @t866)) % 6.02/6.28 (define @t871 () (or @t869 @t870)) % 6.02/6.28 (define @t872 () (forall (@list @t1 @t865 @t864) @t871)) % 6.02/6.28 (define @t873 () (@list @t865 @t864)) % 6.02/6.28 (define @t874 () (forall @t873 @t871)) % 6.02/6.28 (define @t875 () (forall @t873 @t870)) % 6.02/6.28 (define @t876 () (@var "BOUND_VARIABLE_15834" $$unsorted)) % 6.02/6.28 (define @t877 () (or @t869 @t875)) % 6.02/6.28 (define @t878 () (= (tptp.subnetstr @t876 @t1 @t11) (and (tptp.subrelstr @t876 @t11) (= (tptp.the_mapping @t1 @t876) (tptp.relation_dom_restr_as_relation_of @t172 @t3 @t350 (tptp.the_carrier @t876)))))) % 6.02/6.28 (define @t879 () (not (tptp.net_str @t876 @t1))) % 6.02/6.28 (define @t880 () (not @t177)) % 6.02/6.28 (define @t881 () (or @t880 @t879 @t878)) % 6.02/6.28 (define @t882 () (@list @t11 @t876)) % 6.02/6.28 (define @t883 () (forall @t882 @t881)) % 6.02/6.28 (define @t884 () (or @t879 @t878)) % 6.02/6.28 (define @t885 () (or @t880 @t884)) % 6.02/6.28 (define @t886 () (forall @t882 @t885)) % 6.02/6.28 (define @t887 () (@list @t876)) % 6.02/6.28 (define @t888 () (forall @t887 @t885)) % 6.02/6.28 (define @t889 () (forall @t887 @t884)) % 6.02/6.28 (define @t890 () (@list @t45)) % 6.02/6.28 (define @t891 () (or @t880 @t889)) % 6.02/6.28 (define @t892 () (forall @t108 (or (not @t357) @t356))) % 6.02/6.28 (define @t893 () (@var "BOUND_VARIABLE_21762" $$unsorted)) % 6.02/6.28 (define @t894 () (@var "BOUND_VARIABLE_21760" $$unsorted)) % 6.02/6.28 (define @t895 () (@var "BOUND_VARIABLE_21758" $$unsorted)) % 6.02/6.28 (define @t896 () (not (tptp.related @t895 @t894 @t893))) % 6.02/6.28 (define @t897 () (tptp.the_carrier @t895)) % 6.02/6.28 (define @t898 () (not (tptp.element @t893 @t897))) % 6.02/6.28 (define @t899 () (@var "BOUND_VARIABLE_21756" $$unsorted)) % 6.02/6.28 (define @t900 () (tptp.related @t899 @t894 @t893)) % 6.02/6.28 (define @t901 () (tptp.the_carrier @t899)) % 6.02/6.28 (define @t902 () (not (tptp.element @t893 @t901))) % 6.02/6.28 (define @t903 () (not (tptp.element @t894 @t897))) % 6.02/6.28 (define @t904 () (not (tptp.element @t894 @t901))) % 6.02/6.28 (define @t905 () (not (tptp.subnetstr @t895 @t1 @t899))) % 6.02/6.28 (define @t906 () (not (tptp.net_str @t899 @t1))) % 6.02/6.28 (define @t907 () (or @t869 @t906 @t905 @t904 @t903 @t902 @t900 @t898 @t896)) % 6.02/6.28 (define @t908 () (@list @t1 @t899 @t895 @t894 @t893)) % 6.02/6.28 (define @t909 () (forall @t908 @t907)) % 6.02/6.28 (define @t910 () (@quantifiers_skolemize @t909 2)) % 6.02/6.28 (define @t911 () (@quantifiers_skolemize @t909 1)) % 6.02/6.28 (define @t912 () (@quantifiers_skolemize @t909 0)) % 6.02/6.28 (define @t913 () (@list @t912 @t911 @t910)) % 6.02/6.28 (define @t914 () (@var "BOUND_VARIABLE_16360" $$unsorted)) % 6.02/6.28 (define @t915 () (tptp.net_str @t914 @t1)) % 6.02/6.28 (define @t916 () (not (tptp.subnetstr @t914 @t1 @t11))) % 6.02/6.28 (define @t917 () (or @t916 @t915)) % 6.02/6.28 (define @t918 () (or @t869 @t880 @t917)) % 6.02/6.28 (define @t919 () (forall (@list @t1 @t11 @t914) @t918)) % 6.02/6.28 (define @t920 () (@list @t914)) % 6.02/6.28 (define @t921 () (forall @t920 @t918)) % 6.02/6.28 (define @t922 () (forall @t920 @t917)) % 6.02/6.28 (define @t923 () (or @t869 @t880 @t922)) % 6.02/6.28 (define @t924 () (not @t355)) % 6.02/6.28 (define @t925 () (forall @t108 (or @t924 @t357))) % 6.02/6.28 (define @t926 () (or @t869 @t880 @t925)) % 6.02/6.28 (define @t927 () (or @t906 @t905 @t904 @t903 @t902 @t900 @t898 @t896)) % 6.02/6.28 (define @t928 () (or @t869 @t927)) % 6.02/6.28 (define @t929 () (forall @t908 @t928)) % 6.02/6.28 (define @t930 () (@list @t899 @t895 @t894 @t893)) % 6.02/6.28 (define @t931 () (forall @t930 @t928)) % 6.02/6.28 (define @t932 () (forall @t930 @t927)) % 6.02/6.28 (define @t933 () (@var "BOUND_VARIABLE_21730" $$unsorted)) % 6.02/6.28 (define @t934 () (@var "BOUND_VARIABLE_21728" $$unsorted)) % 6.02/6.28 (define @t935 () (@var "BOUND_VARIABLE_21726" $$unsorted)) % 6.02/6.28 (define @t936 () (or @t869 @t932)) % 6.02/6.28 (define @t937 () (not (tptp.related @t935 @t934 @t933))) % 6.02/6.28 (define @t938 () (tptp.the_carrier @t935)) % 6.02/6.28 (define @t939 () (not (tptp.element @t933 @t938))) % 6.02/6.28 (define @t940 () (tptp.related @t11 @t934 @t933)) % 6.02/6.28 (define @t941 () (not (tptp.element @t933 @t172))) % 6.02/6.28 (define @t942 () (not (tptp.element @t934 @t938))) % 6.02/6.28 (define @t943 () (not (tptp.element @t934 @t172))) % 6.02/6.28 (define @t944 () (not (tptp.subnetstr @t935 @t1 @t11))) % 6.02/6.28 (define @t945 () (or @t880 @t944 @t943 @t942 @t941 @t940 @t939 @t937)) % 6.02/6.28 (define @t946 () (@list @t11 @t935 @t934 @t933)) % 6.02/6.28 (define @t947 () (forall @t946 @t945)) % 6.02/6.28 (define @t948 () (or @t944 @t943 @t942 @t941 @t940 @t939 @t937)) % 6.02/6.28 (define @t949 () (or @t880 @t948)) % 6.02/6.28 (define @t950 () (forall @t946 @t949)) % 6.02/6.28 (define @t951 () (@list @t935 @t934 @t933)) % 6.02/6.28 (define @t952 () (forall @t951 @t949)) % 6.02/6.28 (define @t953 () (forall @t951 @t948)) % 6.02/6.28 (define @t954 () (@var "BOUND_VARIABLE_21703" $$unsorted)) % 6.02/6.28 (define @t955 () (@var "BOUND_VARIABLE_21701" $$unsorted)) % 6.02/6.28 (define @t956 () (or @t880 @t953)) % 6.02/6.28 (define @t957 () (not (tptp.related @t45 @t955 @t954))) % 6.02/6.28 (define @t958 () (not (tptp.element @t954 @t354))) % 6.02/6.28 (define @t959 () (tptp.related @t11 @t955 @t954)) % 6.02/6.28 (define @t960 () (not (tptp.element @t954 @t172))) % 6.02/6.28 (define @t961 () (not (tptp.element @t955 @t354))) % 6.02/6.28 (define @t962 () (not (tptp.element @t955 @t172))) % 6.02/6.28 (define @t963 () (or @t924 @t962 @t961 @t960 @t959 @t958 @t957)) % 6.02/6.28 (define @t964 () (@list @t45 @t955 @t954)) % 6.02/6.28 (define @t965 () (forall @t964 @t963)) % 6.02/6.28 (define @t966 () (or @t962 @t961 @t960 @t959 @t958 @t957)) % 6.02/6.28 (define @t967 () (or @t924 @t966)) % 6.02/6.28 (define @t968 () (forall @t964 @t967)) % 6.02/6.28 (define @t969 () (@list @t955 @t954)) % 6.02/6.28 (define @t970 () (forall @t969 @t967)) % 6.02/6.28 (define @t971 () (forall @t969 @t966)) % 6.02/6.28 (define @t972 () (@var "BOUND_VARIABLE_21682" $$unsorted)) % 6.02/6.28 (define @t973 () (or @t924 @t971)) % 6.02/6.28 (define @t974 () (not (tptp.related @t45 @t141 @t972))) % 6.02/6.28 (define @t975 () (not (tptp.element @t972 @t354))) % 6.02/6.28 (define @t976 () (tptp.related @t11 @t141 @t972)) % 6.02/6.28 (define @t977 () (not (tptp.element @t972 @t172))) % 6.02/6.28 (define @t978 () (not (tptp.element @t141 @t354))) % 6.02/6.28 (define @t979 () (or @t825 @t978 @t977 @t976 @t975 @t974)) % 6.02/6.28 (define @t980 () (@list @t141 @t972)) % 6.02/6.28 (define @t981 () (forall @t980 @t979)) % 6.02/6.28 (define @t982 () (or @t977 @t976 @t975 @t974)) % 6.02/6.28 (define @t983 () (or @t825 @t978 @t982)) % 6.02/6.28 (define @t984 () (forall @t980 @t983)) % 6.02/6.28 (define @t985 () (@list @t972)) % 6.02/6.28 (define @t986 () (forall @t985 @t983)) % 6.02/6.28 (define @t987 () (forall @t985 @t982)) % 6.02/6.28 (define @t988 () (or @t825 @t978 @t987)) % 6.02/6.28 (define @t989 () (not (tptp.related @t45 @t141 @t163))) % 6.02/6.28 (define @t990 () (not (tptp.element @t163 @t354))) % 6.02/6.28 (define @t991 () (or @t839 @t171 @t990 @t989)) % 6.02/6.28 (define @t992 () (forall @t174 @t991)) % 6.02/6.28 (define @t993 () (or @t825 @t978 @t992)) % 6.02/6.28 (define @t994 () (or @t978 @t992)) % 6.02/6.28 (define @t995 () (or @t978 @t991)) % 6.02/6.28 (define @t996 () (or @t839 @t171 @t990 @t978 @t989)) % 6.02/6.28 (define @t997 () (or @t171 @t990 @t978 @t989)) % 6.02/6.28 (define @t998 () (or @t978 @t989)) % 6.02/6.28 (define @t999 () (or @t978 @t848 @t989)) % 6.02/6.28 (define @t1000 () (not (tptp.related @t45 @t285 @t163))) % 6.02/6.28 (define @t1001 () (not @t700)) % 6.02/6.28 (define @t1002 () (or @t851 @t1001 @t851 @t1000)) % 6.02/6.28 (define @t1003 () (or @t1001 @t851 @t1000)) % 6.02/6.28 (define @t1004 () (forall @t344 @t1003)) % 6.02/6.28 (define @t1005 () (or @t171 @t990 @t1004)) % 6.02/6.28 (define @t1006 () (or @t171 @t990 @t1003)) % 6.02/6.28 (define @t1007 () (or @t1001 @t851 @t171 @t990 @t1000)) % 6.02/6.28 (define @t1008 () (or @t851 @t171 @t990 @t1000)) % 6.02/6.28 (define @t1009 () (or @t990 @t1000)) % 6.02/6.28 (define @t1010 () (not (= @t163 @t163))) % 6.02/6.28 (define @t1011 () (or @t990 @t1010 @t1000)) % 6.02/6.28 (define @t1012 () (not @t695)) % 6.02/6.28 (define @t1013 () (not @t646)) % 6.02/6.28 (define @t1014 () (not @t698)) % 6.02/6.28 (define @t1015 () (or @t1013 @t1014 @t1013 @t1012)) % 6.02/6.28 (define @t1016 () (or @t1014 @t1013 @t1012)) % 6.02/6.28 (define @t1017 () (forall @t542 @t1016)) % 6.02/6.28 (define @t1018 () (or @t851 @t171 @t1017)) % 6.02/6.28 (define @t1019 () (or @t851 @t171 @t1016)) % 6.02/6.28 (define @t1020 () (or @t1014 @t851 @t1013 @t1012 @t171)) % 6.02/6.28 (define @t1021 () (or @t851 @t1013 @t1012 @t171)) % 6.02/6.28 (define @t1022 () (or @t851 @t1013 @t1012)) % 6.02/6.28 (define @t1023 () (tptp.subnetstr @t910 @t912 @t911)) % 6.02/6.28 (define @t1024 () (@quantifiers_skolemize @t909 4)) % 6.02/6.28 (define @t1025 () (@quantifiers_skolemize @t909 3)) % 6.02/6.28 (define @t1026 () (tptp.related @t910 @t1025 @t1024)) % 6.02/6.28 (define @t1027 () (not @t1026)) % 6.02/6.28 (define @t1028 () (tptp.the_carrier @t910)) % 6.02/6.28 (define @t1029 () (tptp.element @t1024 @t1028)) % 6.02/6.28 (define @t1030 () (not @t1029)) % 6.02/6.28 (define @t1031 () (tptp.related @t911 @t1025 @t1024)) % 6.02/6.28 (define @t1032 () (tptp.the_carrier @t911)) % 6.02/6.28 (define @t1033 () (tptp.element @t1024 @t1032)) % 6.02/6.28 (define @t1034 () (not @t1033)) % 6.02/6.28 (define @t1035 () (tptp.element @t1025 @t1028)) % 6.02/6.28 (define @t1036 () (not @t1035)) % 6.02/6.28 (define @t1037 () (tptp.element @t1025 @t1032)) % 6.02/6.28 (define @t1038 () (not @t1037)) % 6.02/6.28 (define @t1039 () (not @t1023)) % 6.02/6.28 (define @t1040 () (tptp.net_str @t911 @t912)) % 6.02/6.28 (define @t1041 () (not @t1040)) % 6.02/6.28 (define @t1042 () (tptp.one_sorted_str @t912)) % 6.02/6.28 (define @t1043 () (not @t1042)) % 6.02/6.28 (define @t1044 () (or @t1043 @t1041 @t1039 @t1038 @t1036 @t1034 @t1031 @t1030 @t1027)) % 6.02/6.28 (define @t1045 () (@list true)) % 6.02/6.28 (define @t1046 () (@list @t1044)) % 6.02/6.28 (define @t1047 () (tptp.net_str @t910 @t912)) % 6.02/6.28 (define @t1048 () (or @t1043 @t1041 @t1039 @t1047)) % 6.02/6.28 (define @t1049 () (@list false false false false)) % 6.02/6.28 (define @t1050 () (tptp.subrelstr @t910 @t911)) % 6.02/6.28 (define @t1051 () (and @t1050 (= (tptp.the_mapping @t912 @t910) (tptp.relation_dom_restr_as_relation_of @t1032 (tptp.the_carrier @t912) (tptp.the_mapping @t912 @t911) @t1028)))) % 6.02/6.28 (define @t1052 () (= @t1023 @t1051)) % 6.02/6.28 (define @t1053 () (not @t1047)) % 6.02/6.28 (define @t1054 () (or @t1043 @t1041 @t1053 @t1052)) % 6.02/6.28 (define @t1055 () (@var "BOUND_VARIABLE_16294" $$unsorted)) % 6.02/6.28 (define @t1056 () (tptp.rel_str @t1055)) % 6.02/6.28 (define @t1057 () (not (tptp.net_str @t1055 @t1))) % 6.02/6.28 (define @t1058 () (or @t1057 @t1056)) % 6.02/6.28 (define @t1059 () (or @t869 @t1058)) % 6.02/6.28 (define @t1060 () (forall (@list @t1 @t1055) @t1059)) % 6.02/6.28 (define @t1061 () (@list @t1055)) % 6.02/6.28 (define @t1062 () (forall @t1061 @t1059)) % 6.02/6.28 (define @t1063 () (forall @t1061 @t1058)) % 6.02/6.28 (define @t1064 () (or @t869 @t1063)) % 6.02/6.28 (define @t1065 () (forall @t20 (or @t880 @t208))) % 6.02/6.28 (define @t1066 () (tptp.rel_str @t911)) % 6.02/6.28 (define @t1067 () (or @t1043 @t1041 @t1066)) % 6.02/6.28 (define @t1068 () (not @t1050)) % 6.02/6.28 (define @t1069 () (not @t1066)) % 6.02/6.28 (define @t1070 () (or @t1069 @t1068 @t1038 @t1036 @t1034 @t1031 @t1030 @t1027)) % 6.02/6.28 (define @t1071 () (not @t1070)) % 6.02/6.28 (define @t1072 () (forall @t782 @t779)) % 6.02/6.28 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 6.02/6.28 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 6.02/6.28 (assume @p3 (forall @t15 (=> @t14 @t13))) % 6.02/6.28 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 6.02/6.28 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 6.02/6.28 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 6.02/6.28 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 6.02/6.28 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 6.02/6.28 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 6.02/6.28 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 6.02/6.28 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 6.02/6.28 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 6.02/6.28 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 6.02/6.28 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 6.02/6.28 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 6.02/6.28 (assume @p16 (forall @t6 (=> @t30 @t41))) % 6.02/6.28 (assume @p17 (forall @t6 (=> @t43 @t42))) % 6.02/6.28 (assume @p18 (forall @t6 (=> @t30 @t44))) % 6.02/6.28 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 6.02/6.28 (assume @p20 (forall @t6 (=> @t10 (=> (and @t63 @t55 @t64) (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52))))) % 6.02/6.28 (assume @p21 (forall @t6 (=> @t5 (=> @t65 @t63)))) % 6.02/6.28 (assume @p22 (forall @t6 (=> @t10 (=> @t67 @t66)))) % 6.02/6.28 (assume @p23 (forall @t6 (=> @t29 @t27))) % 6.02/6.28 (assume @p24 (forall @t6 (=> @t40 @t70))) % 6.02/6.28 (assume @p25 (forall @t6 (=> (and @t72 (tptp.symmetric @t1) @t73) (and @t72 @t71)))) % 6.02/6.28 (assume @p26 (forall @t6 (=> @t30 @t72))) % 6.02/6.28 (assume @p27 (forall @t51 (=> @t76 @t74))) % 6.02/6.28 (assume @p28 (forall @t6 (=> @t5 (=> @t79 (and @t63 @t65 @t77))))) % 6.02/6.28 (assume @p29 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 6.02/6.28 (assume @p30 (forall @t6 (=> (and @t30 @t40) @t81))) % 6.02/6.28 (assume @p31 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t82))))) % 6.02/6.28 (assume @p32 (forall @t6 (=> @t42 @t43))) % 6.02/6.28 (assume @p33 (forall @t6 (=> @t85 @t84))) % 6.02/6.28 (assume @p34 (forall @t51 (=> @t50 (=> @t88 @t87)))) % 6.02/6.28 (assume @p35 (forall @t6 (=> @t5 (=> @t77 @t63)))) % 6.02/6.28 (assume @p36 (forall @t6 (=> @t10 (=> @t66 @t67)))) % 6.02/6.28 (assume @p37 (forall @t6 (=> @t27 @t25))) % 6.02/6.28 (assume @p38 (forall @t6 (=> @t70 @t40))) % 6.02/6.28 (assume @p39 (forall @t6 (=> @t5 (=> (and @t63 @t91 @t92) (and @t63 @t91 @t90 @t89 @t78))))) % 6.02/6.28 (assume @p40 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t81))) % 6.02/6.28 (assume @p41 (forall @t51 (=> @t50 (=> @t87 @t88)))) % 6.02/6.28 (assume @p42 (forall @t6 (=> @t10 (=> @t94 @t93)))) % 6.02/6.28 (assume @p43 (forall @t6 (=> @t25 @t23))) % 6.02/6.28 (assume @p44 (forall @t6 (=> @t30 @t95))) % 6.02/6.28 (assume @p45 (forall @t6 (=> @t5 (=> @t79 (and @t63 @t96))))) % 6.02/6.28 (assume @p46 (forall @t15 (=> @t104 (=> (and @t101 @t103 @t102 @t99) (and @t101 @t100 @t99 @t98 @t97))))) % 6.02/6.28 (assume @p47 (forall @t6 (=> @t10 (=> @t93 @t94)))) % 6.02/6.28 (assume @p48 (forall @t6 (=> @t23 @t21))) % 6.02/6.28 (assume @p49 (forall @t6 (=> @t5 (=> @t96 @t107)))) % 6.02/6.28 (assume @p50 (forall @t15 (=> @t110 (forall @t108 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 6.02/6.28 (assume @p51 (forall @t6 (=> @t10 (=> @t114 (and @t63 @t112 @t54 @t53 @t52 @t111))))) % 6.02/6.28 (assume @p52 (forall @t6 (=> @t5 (=> @t107 @t96)))) % 6.02/6.28 (assume @p53 (forall @t15 (=> @t117 (forall @t108 (=> @t50 (=> @t48 (and @t47 (not @t115) @t49 @t46))))))) % 6.02/6.28 (assume @p54 (forall @t6 (=> @t10 (=> (and @t63 @t112 @t52 @t111) @t114)))) % 6.02/6.28 (assume @p55 (forall @t6 (=> @t10 (=> (and @t63 @t55 @t112) (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t118))))) % 6.02/6.28 (assume @p56 (forall @t51 (=> @t123 (= @t119 (tptp.unordered_pair_as_carrier_subset @t1 @t45 @t11))))) % 6.02/6.28 (assume @p57 (forall @t15 (= @t124 (tptp.unordered_pair @t11 @t1)))) % 6.02/6.28 (assume @p58 (forall @t15 (= @t126 @t125))) % 6.02/6.28 (assume @p59 (forall @t51 (=> @t129 (= @t127 (tptp.join_commut @t1 @t45 @t11))))) % 6.02/6.28 (assume @p60 (forall @t15 (= @t131 @t130))) % 6.02/6.28 (assume @p61 (forall @t51 (=> @t134 (= @t132 (tptp.meet_commut @t1 @t45 @t11))))) % 6.02/6.28 (assume @p62 (forall @t51 (=> @t137 (= @t135 (tptp.subset_union2 @t1 @t45 @t11))))) % 6.02/6.28 (assume @p63 (forall @t51 (=> @t137 (= @t138 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 6.02/6.28 (assume @p64 (forall @t15 (=> @t140 (or @t139 (tptp.ordinal_subset @t11 @t1))))) % 6.02/6.28 (assume @p65 (forall @t15 (=> @t149 (= @t148 (forall @t146 (= @t145 (and @t143 @t142))))))) % 6.02/6.28 (assume @p66 (forall @t15 (= @t152 (and @t151 @t150)))) % 6.02/6.28 (assume @p67 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (=> @t160 (= (= @t45 @t159) (and @t158 @t157)))))))) % 6.02/6.28 (assume @p68 (forall @t6 (=> @t122 (= @t162 (tptp.identity_as_relation_of @t3))))) % 6.02/6.28 (assume @p69 (forall @t6 (=> @t72 (forall @t161 (=> @t74 (= (= @t45 @t169) (forall @t168 (= @t167 (and @t166 @t165))))))))) % 6.02/6.28 (assume @p70 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t108 (= @t176 (exists @t156 (and @t175 (forall @t174 (=> @t173 (=> @t171 @t170)))))))))))) % 6.02/6.28 (assume @p71 (forall @t6 (=> @t5 (= @t181 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 6.02/6.28 (assume @p72 (forall @t6 (=> @t187 (forall @t161 (= @t186 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t183) @t182 (= @t141 (tptp.apply @t1 @t163))))))))))) % 6.02/6.28 (assume @p73 (forall @t15 (=> @t149 (forall @t108 (=> @t74 (= (= @t45 @t189) (forall @t168 (= @t167 (and @t188 (tptp.in @t164 @t11)))))))))) % 6.02/6.28 (assume @p74 (forall @t6 (=> @t72 (= @t191 (tptp.is_antisymmetric_in @t1 @t190))))) % 6.02/6.28 (assume @p75 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t108 (= @t192 (forall @t156 (=> @t175 (exists @t174 (and @t173 @t171 @t170))))))))))) % 6.02/6.28 (assume @p76 (forall @t6 (=> @t187 (forall @t161 (= @t195 (forall @t156 (= @t184 (and @t194 (tptp.in @t193 @t11))))))))) % 6.02/6.28 (assume @p77 (forall @t6 (=> @t198 (= @t54 (exists @t20 (and @t121 @t197)))))) % 6.02/6.28 (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)))))))))))))))) % 6.02/6.28 (assume @p79 (forall @t6 (=> @t72 (forall @t161 (= @t186 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t205 @t1) @t182))))))))) % 6.02/6.28 (assume @p80 (forall @t6 (=> @t5 (forall @t20 (=> @t208 (= @t207 (and (tptp.subset @t172 @t3) (tptp.subset @t206 @t2)))))))) % 6.02/6.28 (assume @p81 (forall @t6 (=> @t72 (forall @t161 (= @t195 (forall @t156 (= @t184 (exists @t174 (and @t165 @t182))))))))) % 6.02/6.28 (assume @p82 (forall @t6 (=> @t72 (= @t209 (tptp.is_connected_in @t1 @t190))))) % 6.02/6.28 (assume @p83 (forall @t6 (=> @t5 (forall @t20 (=> @t207 (= @t210 (= @t206 (tptp.relation_restriction_as_relation_of @t2 @t172)))))))) % 6.02/6.28 (assume @p84 (forall @t6 (=> @t212 (forall @t20 (=> @t121 (forall @t108 (= @t211 (forall @t156 (=> @t155 (=> @t184 (tptp.below @t1 @t11 @t141))))))))))) % 6.02/6.28 (assume @p85 (forall @t6 (=> @t198 (=> @t54 (forall @t20 (=> @t121 (= (= @t11 @t213) @t197))))))) % 6.02/6.28 (assume @p86 (forall @t6 (=> @t72 (= @t73 (tptp.is_transitive_in @t1 @t190))))) % 6.02/6.28 (assume @p87 (forall @t6 (=> @t212 (forall @t20 (=> @t121 (forall @t108 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t156 (=> @t155 (=> @t184 (tptp.below @t1 @t141 @t11))))))))))) % 6.02/6.28 (assume @p88 (forall @t6 (=> @t187 (forall @t161 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t214)))))) % 6.02/6.28 (assume @p89 (forall @t6 (=> @t218 (forall @t20 (=> @t121 (forall @t108 (=> @t202 (= @t216 (tptp.in @t11 @t215))))))))) % 6.02/6.28 (assume @p90 (forall @t222 (= (= @t141 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t174 (= @t221 (not (and (not (= @t163 @t1)) (not (= @t163 @t11)) @t220))))))) % 6.02/6.28 (assume @p91 (forall @t6 (= @t41 (exists @t20 (and @t149 @t101 (= @t224 @t1) (tptp.in @t223 tptp.omega)))))) % 6.02/6.28 (assume @p92 (forall @t6 (= @t44 (forall @t227 (=> (and @t226 @t225) @t142))))) % 6.02/6.28 (assume @p93 (forall @t51 (=> @t232 (and (=> (=> @t230 @t229) (= @t46 (= @t1 @t231))) (=> @t230 (or @t229 (= @t46 @t228))))))) % 6.02/6.28 (assume @p94 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t235) (= (= @t11 @t234) (and (= @t172 @t32) (forall @t108 (=> @t136 (forall @t156 (=> @t233 (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)))))))))))) % 6.02/6.28 (assume @p95 (forall @t6 (=> @t237 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t236 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 6.02/6.28 (assume @p96 (forall @t6 (=> @t240 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t146 (=> @t239 @t238))))))) % 6.02/6.28 (assume @p97 (forall @t6 (= @t242 (tptp.set_union2 @t1 @t241)))) % 6.02/6.28 (assume @p98 (forall @t6 (=> @t204 (= @t217 (and (tptp.in @t3 @t243) (forall @t20 (=> @t247 (=> (tptp.subset @t11 @t243) (tptp.in @t245 @t243)))) (forall @t20 (=> @t203 (forall @t108 (=> @t202 (=> (and @t244 (tptp.in @t45 @t243)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t243))))))))))) % 6.02/6.28 (assume @p99 (forall @t6 (= @t72 (forall @t20 (not (and @t12 (forall @t146 (not (= @t11 @t144))))))))) % 6.02/6.28 (assume @p100 (forall @t6 (=> @t72 (forall @t20 (= @t249 (forall @t108 (=> @t248 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 6.02/6.28 (assume @p101 (forall @t51 (= @t50 (tptp.subset @t45 @t75)))) % 6.02/6.28 (assume @p102 (forall @t15 (and (=> @t253 (= @t250 (forall @t108 (= @t248 (forall @t156 (=> @t252 @t251)))))) (=> @t229 (= @t250 @t230))))) % 6.02/6.28 (assume @p103 (forall @t6 (=> @t122 (= @t62 @t254)))) % 6.02/6.28 (assume @p104 (forall @t15 (= (= @t11 @t241) (forall @t108 (= @t248 (= @t45 @t1)))))) % 6.02/6.28 (assume @p105 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t256 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t255)))))))) % 6.02/6.28 (assume @p106 (forall @t6 (=> @t204 (forall @t20 (=> @t247 (= @t258 (forall @t108 (=> @t202 (=> @t248 @t257))))))))) % 6.02/6.28 (assume @p107 (forall @t6 (=> @t5 (forall @t20 (=> @t203 (= @t261 (forall @t108 (=> @t120 (forall @t156 (=> @t155 (not (and @t248 @t166 (forall @t174 (=> @t260 (not (and @t182 (tptp.related @t1 @t45 @t163) @t259)))))))))))))))) % 6.02/6.28 (assume @p108 (forall @t6 (=> @t72 (forall @t161 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t156 (= @t184 (and (not @t262) (tptp.in (tptp.ordered_pair @t141 @t11) @t1))))))))) % 6.02/6.28 (assume @p109 (forall @t15 (=> @t149 (= (= @t11 @t265) (and (= @t264 @t1) (forall @t146 (=> (and @t143 @t252) (= @t145 @t263)))))))) % 6.02/6.28 (assume @p110 (forall @t6 (= @t229 (forall @t20 @t13)))) % 6.02/6.28 (assume @p111 (forall @t6 (= @t267 (tptp.rel_str_of @t1 @t266)))) % 6.02/6.28 (assume @p112 (forall @t15 (= (= @t11 @t32) (forall @t108 (= @t248 (tptp.subset @t45 @t1)))))) % 6.02/6.28 (assume @p113 (forall @t6 (=> @t212 (=> @t269 (forall @t161 (=> @t120 (= (= @t45 @t268) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t156 (=> @t155 (=> (tptp.latt_element_smaller @t1 @t141 @t11) (tptp.below @t1 @t45 @t141)))))))))))) % 6.02/6.28 (assume @p114 (forall @t6 (=> @t212 (forall @t20 (= @t270 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 6.02/6.28 (assume @p115 (forall @t6 (= (tptp.centered @t1) (and @t253 (forall @t20 (not (and @t272 @t150 @t82 (= @t271 tptp.empty_set)))))))) % 6.02/6.28 (assume @p116 (forall @t6 (=> @t275 (= @t274 (tptp.rel_str_of @t3 @t273))))) % 6.02/6.28 (assume @p117 (forall @t6 (=> @t198 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t196 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 6.02/6.28 (assume @p118 (forall @t6 (=> @t240 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t146 (=> @t239 @t276))))))) % 6.02/6.28 (assume @p119 (forall @t6 (= @t69 (forall @t20 (=> @t12 @t150))))) % 6.02/6.28 (assume @p120 (forall @t6 (=> @t122 (= @t277 tptp.empty_set)))) % 6.02/6.28 (assume @p121 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= @t152 (forall @t146 (= @t278 @t145)))))))) % 6.02/6.28 (assume @p122 (forall @t15 (and (=> @t116 (= @t19 @t12)) (=> @t30 (= @t19 @t109))))) % 6.02/6.28 (assume @p123 (forall @t51 (= (= @t45 @t124) (forall @t156 (= @t184 (or (= @t141 @t1) @t262)))))) % 6.02/6.28 (assume @p124 (forall @t15 (=> @t19 (= (tptp.proper_element @t11 @t1) (not @t280))))) % 6.02/6.28 (assume @p125 (forall @t6 (=> @t204 (forall @t20 (=> @t247 (= @t282 @t281)))))) % 6.02/6.28 (assume @p126 (forall @t6 (=> @t72 (= @t283 (forall @t20 (not (and (tptp.subset @t11 @t190) @t272 (forall @t108 (not (and @t248 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 6.02/6.28 (assume @p127 (forall @t51 (= (= @t45 @t126) (forall @t156 (= @t184 (or @t252 @t166)))))) % 6.02/6.28 (assume @p128 (forall @t6 (= @t284 (tptp.poset_of_lattice @t234)))) % 6.02/6.28 (assume @p129 (forall @t51 (= (= @t45 @t75) (forall @t156 (= @t184 (exists @t288 (and @t188 @t287 (= @t141 @t286)))))))) % 6.02/6.28 (assume @p130 (forall @t6 (=> @t204 (= @t293 (forall @t20 (=> @t247 (not (and @t292 @t258 (forall @t108 (=> @t291 (not (and @t290 (tptp.is_a_cover_of_carrier @t1 @t45) @t289)))))))))))) % 6.02/6.28 (assume @p131 (forall @t6 (=> @t275 (forall @t20 (=> @t121 (= @t294 @t11)))))) % 6.02/6.28 (assume @p132 (forall @t6 (=> @t237 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t295 (= @t236 @t45))))))))) % 6.02/6.28 (assume @p133 (forall @t6 (= @t68 (forall @t161 (not (and @t12 @t143 (not @t298) @t297 @t296)))))) % 6.02/6.28 (assume @p134 (forall @t6 (=> @t122 (= @t299 @t3)))) % 6.02/6.28 (assume @p135 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= @t151 (forall @t146 (=> @t278 @t145)))))))) % 6.02/6.28 (assume @p136 (forall @t15 (= @t151 @t300))) % 6.02/6.28 (assume @p137 (forall @t6 (=> @t72 (forall @t20 (= @t302 (forall @t108 (not (and @t290 @t301 (forall @t156 (not (and @t184 (tptp.disjoint (tptp.fiber @t1 @t141) @t45)))))))))))) % 6.02/6.28 (assume @p138 (forall @t51 (= (= @t45 @t131) (forall @t156 (= @t184 (and @t252 @t166)))))) % 6.02/6.28 (assume @p139 (forall @t6 (=> @t187 (forall @t161 (and (=> @t305 (= @t304 @t226)) (=> (not @t305) (= @t304 @t228))))))) % 6.02/6.28 (assume @p140 (forall @t6 (=> @t275 (forall @t20 (=> @t308 (= @t306 @t11)))))) % 6.02/6.28 (assume @p141 (forall @t6 (= @t40 @t70))) % 6.02/6.28 (assume @p142 (forall @t6 (=> @t72 (forall @t20 (= (= @t11 @t183) (forall @t108 (= @t248 (exists @t156 @t278)))))))) % 6.02/6.28 (assume @p143 (forall @t6 (=> @t72 (forall @t20 (= @t310 (forall @t146 (=> (and @t248 @t166 @t278 @t309) @t142))))))) % 6.02/6.28 (assume @p144 (forall @t6 (= @t311 @t1))) % 6.02/6.28 (assume @p145 (forall @t15 (= @t280 (forall @t108 (= @t248 (exists @t156 (and @t251 @t252))))))) % 6.02/6.28 (assume @p146 (forall @t6 (=> @t72 (= @t312 (and @t71 @t73 @t191 @t209 @t283))))) % 6.02/6.28 (assume @p147 (forall @t15 (= @t316 (exists @t108 (and @t74 @t47 @t86 @t315 (= @t313 @t11)))))) % 6.02/6.28 (assume @p148 (forall @t51 (= (= @t45 @t317) (forall @t156 (= @t184 (and @t252 (not @t166))))))) % 6.02/6.28 (assume @p149 (forall @t6 (=> @t5 (= @t106 (exists @t20 (and @t121 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 6.02/6.28 (assume @p150 (forall @t6 (=> @t187 (forall @t20 (= @t320 (forall @t108 (= @t248 (exists @t156 @t318)))))))) % 6.02/6.28 (assume @p151 (forall @t6 (=> @t5 (= @t90 (tptp.is_transitive_in @t2 @t3))))) % 6.02/6.28 (assume @p152 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t321 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t151))))))) % 6.02/6.28 (assume @p153 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t322 @t244)))))) % 6.02/6.28 (assume @p154 (forall @t6 (=> @t72 (forall @t20 (= @t320 (forall @t108 (= @t248 (exists @t156 @t309)))))))) % 6.02/6.28 (assume @p155 (forall @t15 (=> @t33 (= @t323 @t317)))) % 6.02/6.28 (assume @p156 (forall @t15 (= @t324 (tptp.unordered_pair @t124 @t241)))) % 6.02/6.28 (assume @p157 (forall @t6 (=> @t72 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t249 @t326 @t310 @t325 @t302)))))) % 6.02/6.28 (assume @p158 (forall @t6 (=> @t5 (= @t89 (tptp.is_antisymmetric_in @t2 @t3))))) % 6.02/6.28 (assume @p159 (forall @t6 (= @t321 (= @t1 @t279)))) % 6.02/6.28 (assume @p160 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t328 (tptp.open_subset @t327 @t1))))))) % 6.02/6.28 (assume @p161 (forall @t6 (=> @t72 (= @t190 (tptp.set_union2 @t183 @t319))))) % 6.02/6.28 (assume @p162 (forall @t6 (=> @t72 (forall @t20 (= @t325 (forall @t146 (not (and @t248 @t166 (not @t142) (not @t278) (not @t309))))))))) % 6.02/6.28 (assume @p163 (forall @t6 (=> @t72 (forall @t20 (= @t330 (tptp.set_intersection2 @t1 @t329)))))) % 6.02/6.28 (assume @p164 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= (= @t11 @t331) (forall @t146 (= @t145 @t309)))))))) % 6.02/6.28 (assume @p165 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t335 (= @t334 (and (= @t314 @t190) (= @t313 @t264) @t86 (forall @t168 (= @t165 (and (tptp.in @t141 @t190) (tptp.in @t163 @t190) (tptp.in (tptp.ordered_pair @t333 @t332) @t11))))))))))))) % 6.02/6.28 (assume @p166 (forall @t15 (= @t336 (= @t131 tptp.empty_set)))) % 6.02/6.28 (assume @p167 (forall @t6 (=> @t5 (forall @t20 (= @t342 (exists @t108 (and @t120 @t341 @t340 (forall @t156 (=> @t155 (=> (and @t338 (forall @t174 (=> @t260 (=> (tptp.relstr_set_smaller @t1 @t11 @t163) @t259)))) @t337)))))))))) % 6.02/6.28 (assume @p168 (forall @t6 (=> @t275 (= @t343 (tptp.a_1_0_filter_1 @t1))))) % 6.02/6.28 (assume @p169 (forall @t6 (=> @t187 (= @t83 (forall @t161 (=> (and @t305 (tptp.in @t45 @t183) (= @t303 (tptp.apply @t1 @t45))) @t238)))))) % 6.02/6.28 (assume @p170 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (= @t158 (forall @t156 (=> @t155 (=> @t166 @t339))))))))) % 6.02/6.28 (assume @p171 (forall @t6 (=> @t212 (= @t57 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= (tptp.join @t1 @t196 @t45) @t45))))))))) % 6.02/6.28 (assume @p172 (forall @t6 (=> @t122 (forall @t20 (=> @t247 (= @t292 (= @t299 @t245))))))) % 6.02/6.28 (assume @p173 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t74 (= (= @t45 @t345) (forall @t168 (= @t167 (exists @t344 (and (tptp.in (tptp.ordered_pair @t141 @t285) @t1) (tptp.in (tptp.ordered_pair @t285 @t163) @t11))))))))))))) % 6.02/6.28 (assume @p174 (forall @t6 (=> @t72 (forall @t20 (= @t326 (forall @t346 (=> (and @t248 @t166 @t182 @t278 @t165) (tptp.in (tptp.ordered_pair @t45 @t163) @t1)))))))) % 6.02/6.28 (assume @p175 (forall @t15 (=> @t349 (forall @t108 (=> (tptp.element @t45 @t348) (= (= @t45 @t347) (forall @t156 (=> @t233 (= @t184 (tptp.in (tptp.subset_complement @t1 @t141) @t11)))))))))) % 6.02/6.28 (assume @p176 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t108 (=> @t352 (= @t351 (tptp.apply_on_structs @t11 @t1 @t350 @t45))))))))) % 6.02/6.28 (assume @p177 (forall @t15 (= @t17 (and @t151 @t353)))) % 6.02/6.28 (assume @p178 (forall @t6 (=> @t5 (forall @t20 (= @t160 (exists @t108 (and @t120 @t158 @t157 (forall @t156 (=> @t155 (=> (and @t154 (forall @t174 (=> @t260 (=> (tptp.relstr_element_smaller @t1 @t11 @t163) (tptp.related @t1 @t163 @t141))))) @t337)))))))))) % 6.02/6.28 (assume @p179 @t362) % 6.02/6.28 (assume @p180 (forall @t6 (=> @t187 (=> @t83 (= @t363 @t331))))) % 6.02/6.28 (assume @p181 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (= @t341 (forall @t156 (=> @t155 (=> @t166 @t153))))))))) % 6.02/6.28 (assume @p182 (forall @t6 (=> @t5 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t364 (tptp.in @t214 @t2))))))))) % 6.02/6.28 (assume @p183 (forall @t6 (=> @t72 (= @t71 (tptp.is_reflexive_in @t1 @t190))))) % 6.02/6.28 (assume @p184 (forall @t6 (=> @t5 (forall @t161 (=> @t120 (=> @t342 (= (= @t45 @t365) (and @t341 @t340)))))))) % 6.02/6.28 (assume @p185 (forall @t15 (=> @t104 (and @t367 (tptp.rel_str @t366))))) % 6.02/6.28 (assume @p186 (forall @t51 (=> @t375 (and @t369 (tptp.latt_str @t368))))) % 6.02/6.28 (assume @p187 (forall @t222 (=> @t379 (tptp.element @t377 (tptp.the_carrier @t376))))) % 6.02/6.28 (assume @p188 true) % 6.02/6.28 (assume @p189 (forall @t15 (=> @t212 (tptp.element @t268 @t3)))) % 6.02/6.28 (assume @p190 (forall @t15 (=> @t212 (tptp.element @t270 @t3)))) % 6.02/6.28 (assume @p191 (forall @t222 (=> @t382 (tptp.element @t380 @t75)))) % 6.02/6.28 (assume @p192 (forall @t6 (and @t383 (tptp.latt_str @t234)))) % 6.02/6.28 (assume @p193 (forall @t51 (=> (and @t63 @t128 @t121 @t120) (tptp.element @t236 @t3)))) % 6.02/6.28 (assume @p194 (forall @t6 (tptp.element @t384 @t348))) % 6.02/6.28 (assume @p195 (forall @t6 (=> @t122 (tptp.element @t277 @t199)))) % 6.02/6.28 (assume @p196 (forall @t15 (=> @t72 (tptp.relation_of2_as_subset @t385 @t11 @t11)))) % 6.02/6.28 (assume @p197 (forall @t15 (=> @t386 (tptp.element @t256 @t199)))) % 6.02/6.28 (assume @p198 (forall @t222 (=> @t388 (tptp.element @t387 @t172)))) % 6.02/6.28 (assume @p199 (forall @t6 (tptp.relation @t265))) % 6.02/6.28 (assume @p200 (forall @t15 (=> @t5 (tptp.element @t365 @t3)))) % 6.02/6.28 (assume @p201 (forall @t6 (and (tptp.reflexive @t266) (tptp.antisymmetric @t266) (tptp.transitive @t266) (tptp.v1_partfun1 @t266 @t1 @t1) (tptp.relation_of2_as_subset @t266 @t1 @t1)))) % 6.02/6.28 (assume @p202 (forall @t392 (=> @t391 (tptp.element @t389 @t45)))) % 6.02/6.28 (assume @p203 (forall @t6 (=> @t187 (and (tptp.relation @t363) (tptp.function @t363))))) % 6.02/6.28 (assume @p204 (forall @t6 (=> @t275 (and (tptp.reflexive @t273) (tptp.antisymmetric @t273) (tptp.transitive @t273) (tptp.v1_partfun1 @t273 @t3 @t3) (tptp.relation_of2_as_subset @t273 @t3 @t3))))) % 6.02/6.28 (assume @p205 (forall @t51 (=> (and @t63 @t133 @t121 @t120) (tptp.element @t196 @t3)))) % 6.02/6.28 (assume @p206 (forall @t6 (=> @t122 (tptp.element @t299 @t199)))) % 6.02/6.28 (assume @p207 (forall @t51 (=> @t123 (tptp.element @t119 @t199)))) % 6.02/6.28 (assume @p208 (forall @t6 (tptp.element @t311 @t32))) % 6.02/6.28 (assume @p209 (forall @t15 (=> @t72 (tptp.relation @t330)))) % 6.02/6.28 (assume @p210 (forall @t15 (=> @t5 (tptp.element @t159 @t3)))) % 6.02/6.28 (assume @p211 (forall @t6 (and @t393 (tptp.rel_str @t267)))) % 6.02/6.28 (assume @p212 (forall @t6 (=> @t275 (and @t397 @t396 @t395 @t394 (tptp.rel_str @t274))))) % 6.02/6.28 (assume @p213 (forall @t51 (=> @t129 (tptp.element @t127 @t3)))) % 6.02/6.28 (assume @p214 (forall @t15 (=> @t33 (tptp.element @t323 @t32)))) % 6.02/6.28 (assume @p215 (forall @t51 (=> (and @t63 @t122 @t178 @t177 @t352) (tptp.element @t351 @t3)))) % 6.02/6.28 (assume @p216 (forall @t6 (=> @t5 (tptp.element @t181 @t3)))) % 6.02/6.28 (assume @p217 (forall @t6 (and @t398 (tptp.rel_str @t284)))) % 6.02/6.28 (assume @p218 (forall @t15 (=> (and @t63 @t55 @t10 @t121) (tptp.element @t294 @t307)))) % 6.02/6.28 (assume @p219 (forall @t51 (=> @t134 (tptp.element @t132 @t3)))) % 6.02/6.28 (assume @p220 (forall @t6 (=> @t72 @t399))) % 6.02/6.28 (assume @p221 (forall @t51 (=> @t50 (tptp.element @t231 @t32)))) % 6.02/6.28 (assume @p222 (forall @t51 (=> @t137 (tptp.element @t135 @t32)))) % 6.02/6.28 (assume @p223 (forall @t15 (=> (and @t63 @t55 @t10 @t308) (tptp.element @t306 @t3)))) % 6.02/6.28 (assume @p224 (forall @t6 (=> @t198 (tptp.element @t213 @t3)))) % 6.02/6.28 (assume @p225 (forall @t15 (=> @t401 @t400))) % 6.02/6.28 (assume @p226 (forall @t51 (=> @t50 (tptp.element @t403 @t402)))) % 6.02/6.28 (assume @p227 (forall @t15 (=> @t349 (tptp.element @t404 @t32)))) % 6.02/6.28 (assume @p228 (forall @t51 (=> @t137 (tptp.element @t138 @t32)))) % 6.02/6.28 (assume @p229 (forall @t6 (and (tptp.v1_partfun1 @t405 @t1 @t1) (tptp.relation_of2_as_subset @t405 @t1 @t1)))) % 6.02/6.28 (assume @p230 (forall @t15 (=> @t386 (tptp.element @t201 @t199)))) % 6.02/6.28 (assume @p231 (forall @t6 @t406)) % 6.02/6.28 (assume @p232 (forall @t15 (=> @t349 (tptp.element @t407 @t32)))) % 6.02/6.28 (assume @p233 (forall @t51 (=> @t137 (tptp.element @t408 @t32)))) % 6.02/6.28 (assume @p234 (forall @t6 (=> @t122 (and (tptp.function @t162) (tptp.quasi_total @t162 @t3 @t3) (tptp.relation_of2_as_subset @t162 @t3 @t3))))) % 6.02/6.28 (assume @p235 (forall @t15 (=> @t72 @t409))) % 6.02/6.28 (assume @p236 (forall @t15 (=> @t349 (tptp.element @t347 @t348)))) % 6.02/6.28 (assume @p237 (forall @t15 (=> (and @t63 @t10 @t178 @t235) (and (tptp.strict_latt_str @t376) (tptp.latt_str @t376))))) % 6.02/6.28 (assume @p238 (forall @t222 (=> @t411 (tptp.element @t410 @t11)))) % 6.02/6.28 (assume @p239 (forall @t15 (=> @t149 @t412))) % 6.02/6.28 (assume @p240 (forall @t222 (=> @t50 (tptp.relation_of2_as_subset @t413 @t1 @t11)))) % 6.02/6.28 (assume @p241 (forall @t6 (=> @t275 (tptp.relation @t343)))) % 6.02/6.28 (assume @p242 (forall @t6 (=> @t133 @t122))) % 6.02/6.28 (assume @p243 (forall @t6 (=> @t5 @t122))) % 6.02/6.28 (assume @p244 (forall @t6 (=> @t204 @t122))) % 6.02/6.28 (assume @p245 @t416) % 6.02/6.28 (assume @p246 (forall @t6 (=> @t128 @t122))) % 6.02/6.28 (assume @p247 (forall @t6 (=> @t10 (and @t133 @t128)))) % 6.02/6.28 (assume @p248 (forall @t15 (=> @t417 (forall @t108 (=> @t216 @t202))))) % 6.02/6.28 (assume @p249 (forall @t6 (=> @t5 (forall @t20 (=> @t207 @t208))))) % 6.02/6.28 (assume @p250 @t421) % 6.02/6.28 (assume @p251 (forall @t51 (=> @t232 @t76))) % 6.02/6.28 (assume @p252 (forall @t6 (=> @t133 (and @t424 @t423 (tptp.relation_of2_as_subset @t7 @t422 @t3))))) % 6.02/6.28 (assume @p253 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 6.02/6.28 (assume @p254 (forall @t6 (=> @t204 (tptp.element @t243 @t246)))) % 6.02/6.28 (assume @p255 (forall @t15 (=> @t419 (and (tptp.function @t350) (tptp.quasi_total @t350 @t172 @t3) (tptp.relation_of2_as_subset @t350 @t172 @t3))))) % 6.02/6.28 (assume @p256 (forall @t6 (=> @t128 (and @t426 @t425 (tptp.relation_of2_as_subset @t8 @t422 @t3))))) % 6.02/6.28 (assume @p257 (exists @t6 @t133)) % 6.02/6.28 (assume @p258 (exists @t6 @t5)) % 6.02/6.28 (assume @p259 (exists @t6 @t204)) % 6.02/6.28 (assume @p260 (exists @t6 @t122)) % 6.02/6.28 (assume @p261 (forall @t6 (=> @t122 (exists @t20 @t177)))) % 6.02/6.28 (assume @p262 (exists @t6 @t128)) % 6.02/6.28 (assume @p263 (exists @t6 @t10)) % 6.02/6.28 (assume @p264 (forall @t15 (=> @t417 (exists @t108 @t216)))) % 6.02/6.28 (assume @p265 (forall @t15 (exists @t108 @t50))) % 6.02/6.28 (assume @p266 (forall @t6 (exists @t20 @t19))) % 6.02/6.28 (assume @p267 (forall @t6 (=> @t5 (exists @t20 @t207)))) % 6.02/6.28 (assume @p268 (forall @t15 (=> @t419 (exists @t108 @t355)))) % 6.02/6.28 (assume @p269 (forall @t15 (exists @t108 @t232))) % 6.02/6.28 (assume @p270 (forall @t15 (=> @t82 @t427))) % 6.02/6.28 (assume @p271 (forall @t15 (=> @t429 (and (tptp.empty @t428) (tptp.relation @t428))))) % 6.02/6.28 (assume @p272 (forall @t15 (=> @t41 @t427))) % 6.02/6.28 (assume @p273 (forall @t6 (=> @t30 (and (tptp.empty @t331) @t399)))) % 6.02/6.28 (assume @p274 (forall @t15 (=> @t41 (tptp.finite @t317)))) % 6.02/6.28 (assume @p275 (and @t432 @t431 @t430)) % 6.02/6.28 (assume @p276 (forall @t15 (=> (and @t72 @t44 @t82) (tptp.finite @t185)))) % 6.02/6.28 (assume @p277 (forall @t15 (=> @t434 (and @t409 (tptp.relation_empty_yielding @t169))))) % 6.02/6.28 (assume @p278 (forall @t15 (=> @t435 (tptp.finite @t75)))) % 6.02/6.28 (assume @p279 (forall @t6 (and @t436 (tptp.finite @t241)))) % 6.02/6.28 (assume @p280 (forall @t6 (and @t437 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 6.02/6.28 (assume @p281 (forall @t15 (=> (and @t72 @t44 @t149 @t101) (and @t400 (tptp.function @t345))))) % 6.02/6.28 (assume @p282 (forall @t6 (and @t452 @t383 @t451 @t450 @t449 @t448 @t447 @t446 @t445 @t444 @t443 @t442 @t441 @t440 @t439 @t438 (tptp.complete_latt_str @t234)))) % 6.02/6.28 (assume @p283 (forall @t6 (and @t452 @t383))) % 6.02/6.28 (assume @p284 (forall @t15 (=> (and @t116 @t104) (and (not (tptp.empty_carrier @t366)) @t367)))) % 6.02/6.28 (assume @p285 (forall @t6 @t453)) % 6.02/6.28 (assume @p286 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 6.02/6.28 (assume @p287 (forall @t6 (=> @t122 (and (tptp.empty @t277) (tptp.v1_membered @t277) (tptp.v2_membered @t277) (tptp.v3_membered @t277) (tptp.v4_membered @t277) (tptp.v5_membered @t277))))) % 6.02/6.28 (assume @p288 (forall @t15 (=> @t401 (tptp.relation @t131)))) % 6.02/6.28 (assume @p289 (forall @t6 (=> @t180 (not @t254)))) % 6.02/6.28 (assume @p290 (forall @t6 @t437)) % 6.02/6.28 (assume @p291 @t432) % 6.02/6.28 (assume @p292 (forall @t15 (=> (tptp.relation_of2 @t11 @t241 @t241) (and (not (tptp.empty_carrier @t454)) (tptp.strict_rel_str @t454) (tptp.trivial_carrier @t454))))) % 6.02/6.28 (assume @p293 (forall @t6 (=> @t275 (and @t457 @t397 @t396 @t395 @t394 @t456 @t455)))) % 6.02/6.28 (assume @p294 (forall @t15 (not (tptp.empty @t324)))) % 6.02/6.28 (assume @p295 (forall @t15 (=> @t21 @t458))) % 6.02/6.28 (assume @p296 (forall @t15 (=> @t21 @t459))) % 6.02/6.28 (assume @p297 (forall @t15 (=> @t23 (and @t458 @t460)))) % 6.02/6.28 (assume @p298 (forall @t6 (=> (and @t40 @t80) (and @t453 @t463 @t462 @t461 (tptp.natural @t242))))) % 6.02/6.28 (assume @p299 (forall @t15 (and @t464 (tptp.finite @t124)))) % 6.02/6.28 (assume @p300 (forall @t6 (and @t406 @t465))) % 6.02/6.28 (assume @p301 (forall @t6 (=> @t468 (and @t467 @t426 @t425 (tptp.v1_binop_1 @t8 @t3) @t466)))) % 6.02/6.28 (assume @p302 (forall @t6 (and @t452 @t383 @t451 @t450 @t449 @t448 @t447 @t446 @t445))) % 6.02/6.28 (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))))) % 6.02/6.28 (assume @p304 (and @t431 @t430 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t432 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 6.02/6.28 (assume @p305 (forall @t6 (and @t406 @t465 (tptp.reflexive @t147) (tptp.symmetric @t147) (tptp.antisymmetric @t147) (tptp.transitive @t147)))) % 6.02/6.28 (assume @p306 (forall @t6 (=> @t180 (not (tptp.empty @t299))))) % 6.02/6.28 (assume @p307 (forall @t15 (=> @t401 (tptp.relation @t126)))) % 6.02/6.28 (assume @p308 (forall @t6 @t436)) % 6.02/6.28 (assume @p309 (forall @t15 (=> @t469 (tptp.closed_subset @t201 @t1)))) % 6.02/6.28 (assume @p310 (forall @t15 (=> @t116 (not (tptp.empty @t126))))) % 6.02/6.28 (assume @p311 (forall @t6 (=> (and @t63 @t55 @t53 @t10) (and @t457 @t397 @t396 @t395 @t394 @t470 @t456 @t455)))) % 6.02/6.28 (assume @p312 (forall @t15 (=> @t23 (and @t459 @t471)))) % 6.02/6.28 (assume @p313 (forall @t15 (=> @t25 (and @t458 @t460 @t472)))) % 6.02/6.28 (assume @p314 (forall @t15 (=> @t25 (and @t459 @t471 @t473)))) % 6.02/6.28 (assume @p315 (forall @t15 (=> @t27 (and @t458 @t460 @t472 @t474)))) % 6.02/6.28 (assume @p316 (forall @t15 (=> @t27 (and @t459 @t471 @t473 @t475)))) % 6.02/6.28 (assume @p317 (forall @t15 (=> @t29 (and @t458 @t460 @t472 @t474 (tptp.v5_membered @t131))))) % 6.02/6.28 (assume @p318 (forall @t15 (=> @t29 (and @t459 @t471 @t473 @t475 (tptp.v5_membered @t130))))) % 6.02/6.28 (assume @p319 (forall @t15 (=> @t21 @t476))) % 6.02/6.28 (assume @p320 (forall @t15 (=> @t23 (and @t476 @t477)))) % 6.02/6.28 (assume @p321 (forall @t15 (=> @t25 (and @t476 @t477 @t478)))) % 6.02/6.28 (assume @p322 (forall @t6 (=> @t84 (and @t399 (tptp.function @t331))))) % 6.02/6.28 (assume @p323 (forall @t6 (=> (and @t63 @t60 @t128) (and @t467 @t426 @t425 (tptp.v2_binop_1 @t8 @t3) @t466)))) % 6.02/6.28 (assume @p324 (forall @t6 (and @t452 @t383 @t451 @t450 @t449 @t448 @t447 @t446 @t445 @t444 @t443 @t442 @t441 @t440 @t439 @t438))) % 6.02/6.28 (assume @p325 (forall @t51 (=> (and @t116 @t101 @t374 @t373 @t47 @t372 @t371) (and (not (tptp.empty_carrier @t368)) @t369)))) % 6.02/6.28 (assume @p326 (forall @t15 (=> (and @t102 @t480 @t479 @t103 @t104) (and @t367 (tptp.reflexive_relstr @t366) (tptp.transitive_relstr @t366) (tptp.antisymmetric_relstr @t366))))) % 6.02/6.28 (assume @p327 (forall @t6 (=> @t40 (and @t453 @t463 @t462 @t461)))) % 6.02/6.28 (assume @p328 (forall @t15 (=> @t401 (tptp.relation @t317)))) % 6.02/6.28 (assume @p329 (forall @t15 @t464)) % 6.02/6.28 (assume @p330 (forall @t15 (=> (and @t217 @t204 @t328 @t203) @t481))) % 6.02/6.28 (assume @p331 (forall @t15 (=> @t116 (not (tptp.empty @t125))))) % 6.02/6.28 (assume @p332 (forall @t6 (=> (and @t63 @t55 @t54 @t10) (and @t457 @t397 @t396 @t395 @t394 @t482 @t456 @t455)))) % 6.02/6.28 (assume @p333 (forall @t15 (=> @t27 (and @t476 @t477 @t478 @t483)))) % 6.02/6.28 (assume @p334 (forall @t15 (=> @t29 (and @t476 @t477 @t478 @t483 (tptp.v5_membered @t317))))) % 6.02/6.28 (assume @p335 (forall @t15 (=> @t187 (and @t409 (tptp.function @t169))))) % 6.02/6.28 (assume @p336 (forall @t6 (=> (and @t63 @t59 @t133) (and @t485 @t424 @t423 (tptp.v1_binop_1 @t7 @t3) @t484)))) % 6.02/6.28 (assume @p337 (forall @t6 (=> @t275 (and @t457 @t397 @t396 @t395 @t394)))) % 6.02/6.28 (assume @p338 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t279) (tptp.epsilon_connected @t279) (tptp.ordinal @t279))))) % 6.02/6.28 (assume @p339 (and @t432 @t431)) % 6.02/6.28 (assume @p340 (forall @t15 (=> @t117 (not (tptp.empty @t75))))) % 6.02/6.28 (assume @p341 (forall @t15 (=> (and @t217 @t204 @t322 @t203) @t486))) % 6.02/6.28 (assume @p342 (forall @t6 (=> @t269 (and @t457 @t397 @t396 @t395 @t394 @t482 @t470 (tptp.bounded_relstr @t274) @t456 @t455 (tptp.complete_relstr @t274))))) % 6.02/6.28 (assume @p343 (forall @t15 (=> @t487 (and @t412 (tptp.function @t189))))) % 6.02/6.28 (assume @p344 (forall @t6 (=> (and @t63 @t58 @t133) (and @t485 @t424 @t423 (tptp.v2_binop_1 @t7 @t3) @t484)))) % 6.02/6.28 (assume @p345 (forall @t6 (=> @t488 (tptp.closed_subset @t299 @t1)))) % 6.02/6.28 (assume @p346 (forall @t6 (=> @t490 (not @t489)))) % 6.02/6.28 (assume @p347 (forall @t6 (and @t393 @t493 @t492 @t491))) % 6.02/6.28 (assume @p348 (and @t432 (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))) % 6.02/6.28 (assume @p349 (forall @t6 (=> @t490 (not @t494)))) % 6.02/6.28 (assume @p350 (forall @t15 (=> @t469 @t495))) % 6.02/6.28 (assume @p351 (forall @t6 (=> @t116 (and (not (tptp.empty_carrier @t267)) @t393 @t493 @t492 @t491)))) % 6.02/6.28 (assume @p352 (forall @t6 (=> @t30 (and @t489 (tptp.relation @t183))))) % 6.02/6.28 (assume @p353 (forall @t6 (and @t499 @t398 @t498 @t497 @t496))) % 6.02/6.28 (assume @p354 (forall @t6 (=> @t30 (and @t494 (tptp.relation @t319))))) % 6.02/6.28 (assume @p355 (forall @t6 (and @t499 @t398 @t498 @t497 @t496 (tptp.lower_bounded_relstr @t284) (tptp.upper_bounded_relstr @t284) (tptp.bounded_relstr @t284) (tptp.with_suprema_relstr @t284) (tptp.with_infima_relstr @t284) (tptp.complete_relstr @t284)))) % 6.02/6.28 (assume @p356 (forall @t15 (=> @t435 (tptp.finite @t126)))) % 6.02/6.28 (assume @p357 (forall @t15 (=> @t429 (and (tptp.empty @t345) @t400)))) % 6.02/6.28 (assume @p358 (forall @t15 (=> @t500 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t146 (and @t352 @t175 (= @t1 (tptp.ordered_pair_as_product_element @t172 @t172 @t45 @t141)) (tptp.below_refl @t11 @t45 @t141))))))) % 6.02/6.28 (assume @p359 (forall @t51 (=> (and @t178 @t235) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t502)))) % 6.02/6.28 (assume @p360 (forall @t51 (=> (and @t178 @t378 (tptp.complete_latt_str @t11) @t235) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t502)))) % 6.02/6.28 (assume @p361 (forall @t15 (=> @t104 (forall @t146 (=> (= @t366 (tptp.rel_str_of @t45 @t141)) @t504))))) % 6.02/6.28 (assume @p362 (forall @t51 (=> @t375 (forall @t506 (=> (= @t368 (tptp.latt_str_of @t141 @t163 @t285)) (and @t501 (= @t11 @t163) @t505)))))) % 6.02/6.28 (assume @p363 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 6.02/6.28 (assume @p364 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 6.02/6.28 (assume @p365 (forall @t51 (=> @t137 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 6.02/6.28 (assume @p366 (forall @t51 (=> @t137 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 6.02/6.28 (assume @p367 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t323) @t11)))) % 6.02/6.28 (assume @p368 (forall @t6 (=> @t72 (= (tptp.relation_inverse @t331) @t1)))) % 6.02/6.28 (assume @p369 (forall @t15 (=> @t349 (= (tptp.complements_of_subsets @t1 @t347) @t11)))) % 6.02/6.28 (assume @p370 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 6.02/6.28 (assume @p371 (forall @t6 (=> @t72 (= @t71 (forall @t20 (=> @t507 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 6.02/6.28 (assume @p372 (forall @t6 (not (= @t241 tptp.empty_set)))) % 6.02/6.28 (assume @p373 (forall @t15 (=> @t14 (= (tptp.set_union2 @t241 @t11) @t11)))) % 6.02/6.28 (assume @p374 (forall @t15 (not (and @t508 @t14)))) % 6.02/6.28 (assume @p375 (forall @t15 (=> @t509 @t508))) % 6.02/6.28 (assume @p376 (forall @t15 (=> @t149 (tptp.subset (tptp.relation_dom @t189) @t223)))) % 6.02/6.28 (assume @p377 (forall @t6 (=> @t72 (= @t73 (forall @t227 (=> (and @t226 @t278) @t225)))))) % 6.02/6.28 (assume @p378 (forall @t15 (= (tptp.subset @t241 @t11) @t14))) % 6.02/6.28 (assume @p379 (forall @t15 (=> @t149 (not (and @t510 (tptp.equipotent @t1 @t264) (forall @t108 (=> @t74 (not (tptp.well_orders @t45 @t1))))))))) % 6.02/6.28 (assume @p380 (forall @t15 (= (= @t317 tptp.empty_set) @t151))) % 6.02/6.28 (assume @p381 (forall @t15 (=> @t33 (forall @t108 (=> @t248 @t143))))) % 6.02/6.28 (assume @p382 (forall @t6 (=> @t72 (= @t191 (forall @t161 (=> (and @t226 @t511) @t238)))))) % 6.02/6.28 (assume @p383 (forall @t51 (=> @t151 (or @t143 (tptp.subset @t1 (tptp.set_difference @t11 @t512)))))) % 6.02/6.28 (assume @p384 (forall @t6 (=> @t180 (forall @t20 (=> @t203 (forall @t108 (=> @t120 (= (tptp.in @t45 @t255) @t296)))))))) % 6.02/6.28 (assume @p385 (forall @t6 (=> @t72 (= @t209 (forall @t161 (not (and @t507 (tptp.in @t45 @t190) @t297 @t513 (not @t511)))))))) % 6.02/6.28 (assume @p386 (forall @t15 (= (tptp.subset @t1 @t514) (or @t229 (= @t1 @t514))))) % 6.02/6.28 (assume @p387 (forall @t15 (=> @t14 (tptp.subset @t1 @t515)))) % 6.02/6.28 (assume @p388 (forall @t222 (= (tptp.in @t324 (tptp.cartesian_product2 @t45 @t141)) (and @t516 (tptp.in @t11 @t141))))) % 6.02/6.28 (assume @p389 (forall @t15 (=> @t300 @t517))) % 6.02/6.28 (assume @p390 (forall @t51 (=> @t335 (= @t519 (and (tptp.in @t11 @t314) @t12))))) % 6.02/6.28 (assume @p391 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t112 @t118 @t54 @t53))) % 6.02/6.28 (assume @p392 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52))) % 6.02/6.28 (assume @p393 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t111))) % 6.02/6.28 (assume @p394 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t112 @t54 @t53 @t52 @t111 @t113))) % 6.02/6.28 (assume @p395 (exists @t6 (and @t116 @t69 @t68 @t40 @t80))) % 6.02/6.28 (assume @p396 (exists @t6 (and @t116 @t41))) % 6.02/6.28 (assume @p397 (exists @t6 @t187)) % 6.02/6.28 (assume @p398 (forall @t15 (exists @t108 (and @t50 @t74 @t47 @t46)))) % 6.02/6.28 (assume @p399 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89 @t78))) % 6.02/6.28 (assume @p400 (exists @t6 (and @t116 @t21 @t23 @t25 @t27 @t29))) % 6.02/6.28 (assume @p401 (exists @t6 (and @t5 @t4))) % 6.02/6.28 (assume @p402 (exists @t6 @t95)) % 6.02/6.28 (assume @p403 (exists @t6 (and @t69 @t68 @t40 @t321))) % 6.02/6.28 (assume @p404 (exists @t6 (and @t72 @t44 @t83 @t30))) % 6.02/6.28 (assume @p405 (exists @t6 (and @t72 @t433 @t44))) % 6.02/6.28 (assume @p406 (exists @t6 (and @t30 @t72))) % 6.02/6.28 (assume @p407 (forall @t6 (=> @t116 (exists @t20 (and @t33 @t110))))) % 6.02/6.28 (assume @p408 (forall @t6 (=> @t488 (exists @t20 (and @t203 @t322))))) % 6.02/6.28 (assume @p409 (exists @t6 @t30)) % 6.02/6.28 (assume @p410 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89 @t65 @t77 @t78 @t92))) % 6.02/6.28 (assume @p411 (forall @t6 (exists @t20 (and @t33 @t109 @t149 @t101 @t100 @t39 @t38 @t37 @t28 @t82)))) % 6.02/6.28 (assume @p412 (exists @t6 @t85)) % 6.02/6.28 (assume @p413 (forall @t6 (exists @t20 (and @t104 @t149 @t101 @t100 @t99 @t98 @t97)))) % 6.02/6.28 (assume @p414 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89 @t65 @t77 @t78))) % 6.02/6.28 (assume @p415 (exists @t6 (and @t5 @t63 @t4 @t91 @t90 @t89))) % 6.02/6.28 (assume @p416 (exists @t6 (and @t72 @t44 @t83 @t30 @t69 @t68 @t40))) % 6.02/6.28 (assume @p417 (forall @t15 (exists @t108 (and @t50 @t74 @t47)))) % 6.02/6.28 (assume @p418 (exists @t6 @t490)) % 6.02/6.28 (assume @p419 (forall @t6 (exists @t20 (and @t33 @t109)))) % 6.02/6.28 (assume @p420 (forall @t6 (exists @t20 (and @t33 (not @t520))))) % 6.02/6.28 (assume @p421 (forall @t6 (=> @t488 (exists @t20 (and @t203 @t322 @t328))))) % 6.02/6.28 (assume @p422 (exists @t6 @t116)) % 6.02/6.28 (assume @p423 (exists @t6 (and @t5 @t63 @t91 @t90 @t89 @t65 @t77 @t78 @t106 @t105 @t96))) % 6.02/6.28 (assume @p424 (forall @t6 (=> @t116 (exists @t20 (and @t33 @t110 @t82))))) % 6.02/6.28 (assume @p425 (exists @t6 @t84)) % 6.02/6.28 (assume @p426 (exists @t6 (and @t10 @t9))) % 6.02/6.28 (assume @p427 (exists @t6 (and @t116 @t69 @t68 @t40))) % 6.02/6.28 (assume @p428 (forall @t6 (exists @t20 (and @t104 @t149 @t102 (tptp.symmetric @t11) @t480 @t479 @t103)))) % 6.02/6.28 (assume @p429 (exists @t6 @t434)) % 6.02/6.28 (assume @p430 (exists @t6 (and @t122 @t63))) % 6.02/6.28 (assume @p431 (forall @t6 (=> @t180 (exists @t20 (and @t203 @t110))))) % 6.02/6.28 (assume @p432 (exists @t6 (and @t10 @t63 @t9))) % 6.02/6.28 (assume @p433 (forall @t6 (=> @t488 (exists @t20 (and @t203 @t328))))) % 6.02/6.28 (assume @p434 (forall @t6 (=> @t218 (exists @t20 (and @t203 @t110 @t328))))) % 6.02/6.28 (assume @p435 (exists @t6 (and @t10 @t63 @t9 @t61 @t60 @t59 @t58 @t57 @t56 @t55))) % 6.02/6.28 (assume @p436 (forall @t222 (=> @t379 (= @t377 @t144)))) % 6.02/6.28 (assume @p437 (forall @t222 (=> @t382 (= @t380 @t144)))) % 6.02/6.28 (assume @p438 (forall @t6 (= @t384 @t32))) % 6.02/6.28 (assume @p439 (forall @t15 (=> @t72 (= @t385 @t330)))) % 6.02/6.28 (assume @p440 (forall @t222 (=> @t388 (= @t387 @t333)))) % 6.02/6.28 (assume @p441 (forall @t6 (= @t266 @t265))) % 6.02/6.28 (assume @p442 (forall @t392 (=> @t391 (= @t389 (tptp.apply_binary @t141 @t163 @t285))))) % 6.02/6.28 (assume @p443 (forall @t6 (=> @t275 (= @t273 @t343)))) % 6.02/6.28 (assume @p444 (forall @t51 (=> @t123 (= @t119 @t521)))) % 6.02/6.28 (assume @p445 (forall @t51 (=> @t129 (= @t127 @t236)))) % 6.02/6.28 (assume @p446 (forall @t51 (=> @t134 (= @t132 @t196)))) % 6.02/6.28 (assume @p447 (forall @t51 (=> @t50 (= @t231 @t314)))) % 6.02/6.28 (assume @p448 (forall @t51 (=> @t137 (= @t135 @t522)))) % 6.02/6.28 (assume @p449 (forall @t51 (=> @t50 (= @t403 @t313)))) % 6.02/6.28 (assume @p450 (forall @t15 (=> @t349 (= @t404 @t515)))) % 6.02/6.28 (assume @p451 (forall @t51 (=> @t137 (= @t138 @t523)))) % 6.02/6.28 (assume @p452 (forall @t6 (= @t405 @t147))) % 6.02/6.28 (assume @p453 (forall @t15 (=> @t349 (= @t407 @t271)))) % 6.02/6.28 (assume @p454 (forall @t51 (=> @t137 (= @t408 @t524)))) % 6.02/6.28 (assume @p455 (forall @t222 (=> @t411 (= @t410 @t333)))) % 6.02/6.28 (assume @p456 (forall @t222 (=> @t50 (= @t413 (tptp.relation_dom_restriction @t45 @t141))))) % 6.02/6.28 (assume @p457 (forall @t51 (= @t232 @t50))) % 6.02/6.28 (assume @p458 (forall @t15 (=> @t140 (= @t139 @t151)))) % 6.02/6.28 (assume @p459 (forall @t15 (= @t316 (tptp.are_equipotent @t1 @t11)))) % 6.02/6.28 (assume @p460 (forall @t51 (=> @t526 (= @t525 @t295)))) % 6.02/6.28 (assume @p461 (forall @t51 (=> @t527 (= (tptp.related_reflexive @t1 @t11 @t45) @t364)))) % 6.02/6.28 (assume @p462 (forall @t15 (=> @t140 (tptp.ordinal_subset @t1 @t1)))) % 6.02/6.28 (assume @p463 (forall @t15 (tptp.subset @t1 @t1))) % 6.02/6.28 (assume @p464 (forall @t15 (tptp.equipotent @t1 @t1))) % 6.02/6.28 (assume @p465 (forall @t51 (=> @t526 (tptp.below_refl @t1 @t11 @t11)))) % 6.02/6.28 (assume @p466 (forall @t51 (=> @t527 (tptp.related_reflexive @t1 @t11 @t11)))) % 6.02/6.28 (assume @p467 (forall @t15 (=> @t545 (=> @t544 (exists @t108 (and @t74 @t47 (forall @t168 (= @t167 (and @t252 @t252 (exists @t532 (and (= @t141 @t529) (tptp.in @t163 @t529) (forall @t531 (=> @t530 (tptp.in (tptp.ordered_pair @t163 @t528) @t11)))))))))))))) % 6.02/6.28 (assume @p468 (forall @t6 (=> @t548 (exists @t20 (and @t149 @t101 (forall @t146 (= @t145 (and @t143 @t143 (= @t141 @t512))))))))) % 6.02/6.28 (assume @p469 (forall @t15 (=> @t561 (=> @t560 (exists @t108 (and @t74 @t47 (forall @t168 (= @t167 (and @t554 @t554 @t552))))))))) % 6.02/6.28 (assume @p470 (forall @t15 (=> @t561 (=> @t562 (exists @t108 (and @t74 @t47 (forall @t168 (= @t167 (and @t166 @t166 @t552))))))))) % 6.02/6.28 (assume @p471 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t108 (=> @t563 (=> @t143 (tptp.ordinal_subset @t11 @t45))))))))) % 6.02/6.28 (assume @p472 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t587)) (not (and @t253 (forall @t20 (not (and @t12 (forall @t108 (=> (and @t143 @t586) (= @t45 @t11))))))))))) (forall @t156 (=> @t570 (=> @t585 (=> (tptp.in @t584 tptp.omega) (forall @t538 (=> (tptp.element @t535 (tptp.powerset (tptp.powerset @t584))) (not (and (not (= @t535 tptp.empty_set)) (forall @t537 (not (and @t536 (forall @t532 (=> (and (tptp.in @t529 @t535) (tptp.subset @t534 @t529)) (= @t529 @t534)))))))))))))) (forall @t156 (=> @t570 (=> (and (tptp.being_limit_ordinal @t141) (forall @t531 (=> (tptp.ordinal @t528) (=> (tptp.in @t528 @t141) (=> (tptp.in @t528 tptp.omega) (forall @t583 (=> (tptp.element @t579 (tptp.powerset (tptp.powerset @t528))) (not (and (not (= @t579 tptp.empty_set)) (forall @t582 (not (and @t581 (forall @t580 (=> (and (tptp.in @t578 @t579) (tptp.subset @t577 @t578)) (= @t578 @t577))))))))))))))) (or (= @t141 tptp.empty_set) (=> @t569 (forall @t576 (=> (tptp.element @t573 @t567) (not (and (not (= @t573 tptp.empty_set)) (forall @t575 (not (and (tptp.in @t571 @t573) (forall @t574 (=> (and (tptp.in @t572 @t573) (tptp.subset @t571 @t572)) (= @t572 @t571)))))))))))))))) (forall @t156 (=> @t570 (=> @t569 (forall @t568 (=> (tptp.element @t566 @t567) (not (and (not (= @t566 tptp.empty_set)) (forall (@list @t564) (not (and (tptp.in @t564 @t566) (forall (@list @t565) (=> (and (tptp.in @t565 @t566) (tptp.subset @t564 @t565)) (= @t565 @t564))))))))))))))) % 6.02/6.28 (assume @p473 (forall @t51 (=> @t591 (exists @t156 (and @t590 (forall @t288 (= (tptp.in @t286 @t141) (and @t188 @t589 (tptp.in (tptp.ordered_pair @t332 @t588) @t11))))))))) % 6.02/6.28 (assume @p474 (forall @t15 (=> @t545 (=> @t544 (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t188 @t188 (exists @t532 (and (= @t163 @t529) @t593 @t592))))))))))) % 6.02/6.28 (assume @p475 (forall @t15 (=> @t545 (forall @t108 (=> (forall @t506 (=> (and @t533 (exists @t604 (and @t603 @t601 (exists @t537 (and (= @t540 @t534) (tptp.in @t535 @t534) (forall @t532 (=> @t600 (tptp.in (tptp.ordered_pair @t535 @t529) @t11))))))) @t599 (exists @t598 (and (= @t597 @t285) (tptp.in @t528 @t1) (exists @t582 (and (= @t528 @t577) (tptp.in @t579 @t577) (forall @t580 (=> (tptp.in @t578 @t577) (tptp.in (tptp.ordered_pair @t579 @t578) @t11)))))))) @t596)) (exists @t156 (forall @t174 (= @t221 (exists @t344 (and (tptp.in @t285 @t595) @t594 (exists (@list @t573 @t571) (and (= (tptp.ordered_pair @t573 @t571) @t163) (tptp.in @t573 @t1) (exists @t574 (and (= @t573 @t572) (tptp.in @t571 @t572) (forall @t568 (=> (tptp.in @t566 @t572) (tptp.in (tptp.ordered_pair @t571 @t566) @t11))))))))))))))))) % 6.02/6.28 (assume @p476 (forall @t51 (=> @t611 (=> (forall @t506 (=> (and @t533 (exists @t542 (and @t609 (exists @t538 (and @t608 @t607 (tptp.relstr_set_smaller @t1 @t540 @t535))))) @t599 (exists @t537 (and (= @t534 @t285) (exists @t532 (and (tptp.element @t529 @t3) @t606 (tptp.relstr_set_smaller @t1 @t534 @t529)))))) @t596)) (exists @t156 (forall @t174 (= @t221 (exists @t344 (and (tptp.in @t285 @t605) @t594 (exists @t531 (and (= @t528 @t163) (exists @t583 (and (tptp.element @t579 @t3) (tptp.in @t579 @t11) (tptp.relstr_set_smaller @t1 @t528 @t579)))))))))))))) % 6.02/6.28 (assume @p477 (forall @t6 (=> @t548 (exists @t20 (forall @t108 (= @t248 (exists @t156 (and @t252 @t252 (= @t45 (tptp.singleton @t141)))))))))) % 6.02/6.28 (assume @p478 (forall @t15 (=> (forall @t346 (=> (and @t142 (exists @t618 (and (= @t617 @t141) @t589 (= @t540 (tptp.singleton @t285)))) @t616 (exists (@list @t535 @t534) (and (= (tptp.ordered_pair @t535 @t534) @t163) @t615 (= @t534 (tptp.singleton @t535))))) @t533)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t75) @t614 (exists @t613 (and (= @t612 @t141) (tptp.in @t529 @t1) (= @t528 (tptp.singleton @t529)))))))))))) % 6.02/6.28 (assume @p479 (forall @t6 (=> @t40 (=> (forall @t227 (=> (and @t238 (exists @t174 (and @t620 @t616 (=> (tptp.in @t163 tptp.omega) (forall @t344 (=> (tptp.element @t285 (tptp.powerset (tptp.powerset @t163))) @t619))))) @t276 (exists @t537 (and (tptp.ordinal @t534) (= @t141 @t534) (=> (tptp.in @t534 tptp.omega) (forall @t532 (=> (tptp.element @t529 (tptp.powerset (tptp.powerset @t534))) (not (and (not (= @t529 tptp.empty_set)) (forall @t531 (not (and @t530 (forall @t583 (=> (and (tptp.in @t579 @t529) (tptp.subset @t528 @t579)) (= @t579 @t528)))))))))))))) @t142)) (exists @t20 (forall @t108 (= @t248 (exists @t156 (and (tptp.in @t141 @t242) @t337 (exists @t582 (and (tptp.ordinal @t577) (= @t45 @t577) (=> (tptp.in @t577 tptp.omega) (forall @t580 (=> (tptp.element @t578 (tptp.powerset (tptp.powerset @t577))) (not (and (not (= @t578 tptp.empty_set)) (forall @t576 (not (and (tptp.in @t573 @t578) (forall @t575 (=> (and (tptp.in @t571 @t578) (tptp.subset @t573 @t571)) (= @t571 @t573)))))))))))))))))))))) % 6.02/6.28 (assume @p480 (forall @t15 (=> @t469 (=> (forall @t346 (=> (and @t142 (exists @t344 (and @t558 @t623 (tptp.closed_subset @t285 @t1) @t621)) @t616 (exists @t542 (and @t555 @t609 (tptp.closed_subset @t540 @t1) (tptp.subset @t11 @t163)))) @t533)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t622 @t614 (exists @t538 (and @t551 @t550 (tptp.closed_subset @t535 @t1) @t621))))))))))) % 6.02/6.28 (assume @p481 (forall @t15 (=> @t625 (=> (forall @t346 (=> (and @t142 @t624 @t616 (tptp.in (tptp.set_difference @t299 @t163) @t11)) @t533)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t622 @t614 @t624))))))))) % 6.02/6.28 (assume @p482 (forall @t15 (=> @t627 (=> (forall @t346 (=> (and @t142 (exists @t344 (and @t287 (= @t141 (tptp.set_difference @t285 @t241)))) @t616 (exists @t542 (and @t626 (= @t163 (tptp.set_difference @t540 @t241))))) @t533)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t32) @t614 (exists @t538 (and @t607 (= @t141 (tptp.set_difference @t535 @t241))))))))))))) % 6.02/6.28 (assume @p483 (forall @t15 (=> @t561 (=> @t560 (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t630 @t630 @t629))))))))) % 6.02/6.28 (assume @p484 (forall @t15 (=> @t561 (forall @t108 (=> (forall @t506 (=> (and @t533 (exists @t604 (and @t603 (tptp.in @t540 @t553) @t639)) @t599 (exists @t613 (and @t636 (tptp.in @t529 @t553) @t635))) @t596)) (exists @t156 (forall @t174 (= @t221 (exists @t344 (and (tptp.in @t285 @t634) @t594 (exists @t633 (and @t632 (tptp.in @t577 @t553) @t631)))))))))))) % 6.02/6.28 (assume @p485 (forall @t15 (=> @t561 (=> @t562 (exists @t108 (forall @t156 (= @t184 (exists @t174 (and @t182 @t182 @t629))))))))) % 6.02/6.28 (assume @p486 (forall @t15 (=> @t561 (forall @t108 (=> (forall @t506 (=> (and @t533 (exists @t604 (and @t603 @t626 @t639)) @t599 (exists @t613 (and @t636 @t606 @t635))) @t596)) (exists @t156 (forall @t174 (= @t221 (exists @t344 (and (tptp.in @t285 @t640) @t594 (exists @t633 (and @t632 (tptp.in @t577 @t11) @t631)))))))))))) % 6.02/6.28 (assume @p487 (forall @t51 (=> @t591 (=> (forall @t506 (=> (and @t533 (exists @t604 (and (= @t163 @t602) (tptp.in (tptp.ordered_pair @t641 (tptp.apply @t45 @t535)) @t11))) @t599 (exists (@list @t534 @t529) (and (= @t285 (tptp.ordered_pair @t534 @t529)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t534) (tptp.apply @t45 @t529)) @t11)))) @t596)) (exists @t156 (forall @t174 (= @t221 (exists @t344 (and (tptp.in @t285 @t370) @t594 (exists @t598 (and (= @t163 @t597) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t528) (tptp.apply @t45 @t579)) @t11)))))))))))) % 6.02/6.28 (assume @p488 (forall @t6 (=> (forall @t227 (=> (and @t238 @t563 @t276 @t570) @t142)) (exists @t20 (forall @t108 (= @t248 (exists @t156 (and @t252 @t337 @t563)))))))) % 6.02/6.28 (assume @p489 (forall @t51 (=> @t644 (=> (forall @t506 (=> (and @t533 @t642 @t599 (tptp.in (tptp.relation_image @t45 @t285) @t11)) @t596)) (exists @t156 (forall @t174 (= @t221 (exists @t344 (and (tptp.in @t285 @t643) @t594 @t642))))))))) % 6.02/6.28 (assume @p490 (forall @t15 (=> @t37 (=> (forall @t346 (=> (and @t142 (exists @t344 (and (tptp.ordinal @t285) @t599 @t589)) @t616 (exists @t542 (and (tptp.ordinal @t540) @t646 @t601))) @t533)) (exists @t108 (forall @t156 (= @t184 (exists @t174 (and (tptp.in @t163 @t645) @t614 (exists @t538 (and (tptp.ordinal @t535) (= @t141 @t535) @t615))))))))))) % 6.02/6.28 (assume @p491 (forall @t15 (=> @t545 (forall @t108 (exists @t156 (forall @t174 (= @t221 (and (tptp.in @t163 @t595) (exists @t618 (and @t647 @t589 (exists @t538 (and (= @t285 @t535) (tptp.in @t540 @t535) (forall @t537 (=> @t536 (tptp.in (tptp.ordered_pair @t540 @t534) @t11))))))))))))))) % 6.02/6.28 (assume @p492 (forall @t51 (=> @t611 (exists @t156 (forall @t174 (= @t221 (and (tptp.in @t163 @t605) (exists @t344 (and @t594 @t648))))))))) % 6.02/6.28 (assume @p493 (forall @t15 (exists @t108 (forall @t156 (= @t184 (and (tptp.in @t141 @t75) (exists @t288 (and (= @t286 @t141) @t188 (= @t285 @t649))))))))) % 6.02/6.28 (assume @p494 (forall @t6 (=> @t40 (exists @t20 (forall @t108 (= @t248 (and (tptp.in @t45 @t242) (exists @t156 (and @t570 @t142 @t585))))))))) % 6.02/6.28 (assume @p495 (forall @t15 (=> @t469 (exists @t108 (forall @t156 (= @t184 (and @t651 @t650))))))) % 6.02/6.28 (assume @p496 (forall @t15 (=> @t625 (exists @t108 (forall @t156 (= @t184 (and @t651 @t624))))))) % 6.02/6.28 (assume @p497 (forall @t15 (=> @t627 (exists @t108 (forall @t156 (= @t184 (and (tptp.in @t141 @t32) (exists @t174 (and @t182 (= @t141 (tptp.set_difference @t163 @t241))))))))))) % 6.02/6.28 (assume @p498 (forall @t15 (=> @t561 (forall @t108 (exists @t156 (forall @t174 (= @t221 (and (tptp.in @t163 @t634) (exists @t618 (and @t647 (tptp.in @t285 @t553) @t652)))))))))) % 6.02/6.28 (assume @p499 (forall @t15 (=> @t561 (forall @t108 (exists @t156 (forall @t174 (= @t221 (and (tptp.in @t163 @t640) (exists @t618 (and @t647 @t287 @t652)))))))))) % 6.02/6.28 (assume @p500 (forall @t51 (=> @t591 (exists @t156 (forall @t174 (= @t221 (and (tptp.in @t163 @t370) (exists @t618 (and (= @t163 @t617) (tptp.in (tptp.ordered_pair @t588 @t641) @t11)))))))))) % 6.02/6.28 (assume @p501 (forall @t6 (exists @t20 (forall @t108 (= @t248 (and @t143 @t563)))))) % 6.02/6.28 (assume @p502 (forall @t51 (=> @t644 (exists @t156 (forall @t174 (= @t221 (and (tptp.in @t163 @t643) @t642))))))) % 6.02/6.28 (assume @p503 (forall @t15 (=> @t37 (exists @t108 (forall @t156 (= @t184 (and (tptp.in @t141 @t645) (exists @t174 (and @t620 @t533 @t188))))))))) % 6.02/6.28 (assume @p504 (forall @t51 (=> @t611 (=> (and @t289 (exists @t156 (and @t155 @t166 (tptp.relstr_set_smaller @t1 tptp.empty_set @t141))) (forall @t288 (=> (and @t653 (tptp.subset @t285 @t45) @t648) (exists @t538 (and @t608 @t607 (tptp.relstr_set_smaller @t1 (tptp.set_union2 @t285 @t649) @t535)))))) (exists @t537 (and (tptp.element @t534 @t3) (tptp.in @t534 @t11) (tptp.relstr_set_smaller @t1 @t45 @t534))))))) % 6.02/6.28 (assume @p505 (forall @t15 (=> @t545 (=> (and (forall @t346 (=> (and @t143 @t543 @t539) @t533)) (forall @t108 (not (and @t143 (forall @t156 (not (exists @t532 (and (= @t45 @t529) @t593 @t592)))))))) (exists @t108 (and @t74 @t47 @t315 (forall @t156 (=> @t252 (exists @t583 (and (= @t141 @t579) (tptp.in @t333 @t579) (forall @t582 (=> @t581 (tptp.in (tptp.ordered_pair @t333 @t577) @t11))))))))))))) % 6.02/6.28 (assume @p506 (forall @t6 (=> (and (forall @t227 (=> (and @t12 @t547 @t546) @t142)) (forall @t20 (not (and @t12 (forall @t108 (not @t547)))))) @t656))) % 6.02/6.28 (assume @p507 (forall @t15 (=> @t561 (=> (and (forall @t346 (=> (and @t557 @t559 @t556) @t533)) (forall @t108 (not (and @t557 @t658)))) (exists @t108 (and @t74 @t47 (= @t314 @t553) (forall @t156 (=> @t554 @t657)))))))) % 6.02/6.28 (assume @p508 (forall @t15 (=> @t561 (=> (and (forall @t346 (=> (and @t248 @t559 @t556) @t533)) (forall @t108 (not (and @t248 @t658)))) (exists @t108 (and @t74 @t47 (= @t314 @t11) (forall @t156 (=> @t166 @t657)))))))) % 6.02/6.28 (assume @p509 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t108 (=> (tptp.element @t45 (tptp.powerset @t402)) (not (and @t301 (forall @t156 (not (and @t184 (forall @t174 (=> (and @t653 (tptp.subset @t141 @t163)) @t614))))))))))))) (=> @t659 (forall @t344 (=> (tptp.element @t285 @t348) @t619)))))) (forall @t6 (=> @t40 (=> @t659 (forall @t537 (=> (tptp.element @t534 @t348) (not (and (not (= @t534 tptp.empty_set)) (forall @t532 (not (and @t600 (forall @t531 (=> (and (tptp.in @t528 @t534) (tptp.subset @t529 @t528)) (= @t528 @t529))))))))))))))) % 6.02/6.28 (assume @p510 (forall @t6 @t656)) % 6.02/6.28 (assume @p511 (forall @t15 (=> @t469 (exists @t108 (and @t291 (forall @t156 (=> @t660 (= @t184 @t650)))))))) % 6.02/6.28 (assume @p512 (forall @t15 (=> @t625 (exists @t108 (and @t291 (forall @t156 (=> @t660 (= @t184 @t624)))))))) % 6.02/6.28 (assume @p513 (forall @t15 (=> @t336 (tptp.disjoint @t11 @t1)))) % 6.02/6.28 (assume @p514 (forall @t15 (=> @t316 (tptp.equipotent @t11 @t1)))) % 6.02/6.28 (assume @p515 (forall @t6 (tptp.in @t1 @t242))) % 6.02/6.28 (assume @p516 (forall @t15 (=> @t349 (and @t662 (not (and (not @t661) @t230)))))) % 6.02/6.28 (assume @p517 (forall @t222 (not (and (= @t124 (tptp.unordered_pair @t45 @t141)) (not @t503) (not @t501))))) % 6.02/6.28 (assume @p518 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t313)))))) % 6.02/6.28 (assume @p519 (forall @t15 (=> @t149 (tptp.subset @t663 @t1)))) % 6.02/6.28 (assume @p520 (forall @t15 (=> @t149 (tptp.subset @t189 @t11)))) % 6.02/6.28 (assume @p521 (forall @t15 (=> @t149 (tptp.subset @t663 @t224)))) % 6.02/6.28 (assume @p522 (forall @t51 (=> @t151 (and (tptp.subset @t595 @t640) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 6.02/6.28 (assume @p523 (forall @t15 (=> @t149 (= @t663 (tptp.set_intersection2 @t224 @t1))))) % 6.02/6.28 (assume @p524 (forall @t222 (=> (and @t151 @t263) (tptp.subset @t595 (tptp.cartesian_product2 @t11 @t141))))) % 6.02/6.28 (assume @p525 (forall @t15 (=> @t349 (=> @t272 (= @t664 (tptp.subset_complement @t1 @t404)))))) % 6.02/6.28 (assume @p526 (forall @t51 (=> @t232 (and (tptp.subset @t314 @t1) (tptp.subset @t313 @t11))))) % 6.02/6.28 (assume @p527 (forall @t15 (=> @t349 (=> @t272 (= @t665 (tptp.subset_complement @t1 @t407)))))) % 6.02/6.28 (assume @p528 (forall @t15 (=> @t151 (= @t126 @t11)))) % 6.02/6.28 (assume @p529 (forall @t6 (exists @t20 (and @t14 @t667 (forall @t108 (=> @t248 (tptp.in @t605 @t11))) @t666)))) % 6.02/6.28 (assume @p530 (forall @t6 (=> @t218 (= @t293 (forall @t20 (=> @t247 (not (and (tptp.centered @t11) @t282 (= @t668 tptp.empty_set))))))))) % 6.02/6.28 (assume @p531 (forall @t15 (=> (and @t151 @t82) @t41))) % 6.02/6.28 (assume @p532 (forall @t6 (=> @t122 (forall @t20 (=> @t247 (= (tptp.finite @t553) @t82)))))) % 6.02/6.28 (assume @p533 (forall @t51 (=> @t74 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t669))))) % 6.02/6.28 (assume @p534 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t156 (and (tptp.in @t141 @t314) (tptp.in (tptp.ordered_pair @t141 @t1) @t45) @t166)))))) % 6.02/6.28 (assume @p535 (forall @t15 (=> @t149 (tptp.subset @t670 @t224)))) % 6.02/6.28 (assume @p536 (forall @t15 (=> @t487 (tptp.subset @t672 @t1)))) % 6.02/6.28 (assume @p537 (forall @t15 (=> @t149 (= @t670 (tptp.relation_image @t11 @t673))))) % 6.02/6.28 (assume @p538 (forall @t15 (=> @t149 (=> (tptp.subset @t1 @t223) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t670)))))) % 6.02/6.28 (assume @p539 (forall @t6 (=> @t72 (= (tptp.relation_image @t1 @t183) @t319)))) % 6.02/6.28 (assume @p540 (forall @t15 (=> @t487 (=> @t674 (= @t672 @t1))))) % 6.02/6.28 (assume @p541 (forall @t222 (=> @t677 (=> (tptp.subset @t676 @t11) @t675)))) % 6.02/6.28 (assume @p542 (forall @t6 (=> @t122 (forall @t20 (=> @t203 (= (tptp.subset_intersection2 @t3 @t11 @t299) @t11)))))) % 6.02/6.28 (assume @p543 (forall @t6 (=> @t678 (forall @t20 (= @t342 (exists @t108 (and @t120 @t341 @t340))))))) % 6.02/6.28 (assume @p544 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (= @t679 (tptp.relation_image @t11 @t319))))))) % 6.02/6.28 (assume @p545 (forall @t51 (=> @t74 (= (tptp.in @t1 @t680) (exists @t156 (and (tptp.in @t141 @t313) (tptp.in (tptp.ordered_pair @t1 @t141) @t45) @t166)))))) % 6.02/6.28 (assume @p546 (forall @t15 (=> @t149 (tptp.subset @t671 @t223)))) % 6.02/6.28 (assume @p547 (forall @t222 (=> @t677 (=> @t151 @t675)))) % 6.02/6.28 (assume @p548 (forall @t6 (=> @t204 (forall @t20 (=> @t247 (= @t282 (tptp.open_subsets @t553 @t1))))))) % 6.02/6.28 (assume @p549 (forall @t51 (=> @t74 (= (tptp.in @t1 @t681) (and @t516 (tptp.in @t1 @t329)))))) % 6.02/6.28 (assume @p550 (forall @t6 (=> @t678 (forall @t20 (= @t160 (exists @t108 (and @t120 @t158 @t157))))))) % 6.02/6.28 (assume @p551 (forall @t15 (=> @t149 (not (and @t253 @t674 (= @t671 tptp.empty_set)))))) % 6.02/6.28 (assume @p552 (forall @t51 (=> @t74 (=> @t151 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t680))))) % 6.02/6.28 (assume @p553 (forall @t15 (=> @t487 (=> @t41 (tptp.finite @t670))))) % 6.02/6.28 (assume @p554 (forall @t6 (=> @t122 (forall @t20 (=> @t203 (= @t255 @t327)))))) % 6.02/6.28 (assume @p555 (forall @t6 (=> @t204 (forall @t20 (=> @t247 (= @t258 (tptp.closed_subsets @t553 @t1))))))) % 6.02/6.28 (assume @p556 (forall @t15 (=> @t149 (= @t682 (tptp.relation_dom_restriction @t189 @t1))))) % 6.02/6.28 (assume @p557 (forall @t15 (tptp.subset @t131 @t1))) % 6.02/6.28 (assume @p558 (forall @t6 (=> @t41 (forall @t20 (=> @t349 (not (and @t272 (forall @t108 (not (and @t248 (forall @t156 (=> (and @t166 @t263) @t337)))))))))))) % 6.02/6.28 (assume @p559 (forall @t15 (=> @t149 (= @t682 (tptp.relation_rng_restriction @t1 @t683))))) % 6.02/6.28 (assume @p560 (forall @t6 (= (tptp.bottom_of_relstr @t284) tptp.empty_set))) % 6.02/6.28 (assume @p561 (forall @t51 (=> @t74 (=> (tptp.in @t1 (tptp.relation_field @t681)) (and @t685 @t14))))) % 6.02/6.28 (assume @p562 (forall @t51 (=> (and @t151 @t686) (tptp.subset @t1 @t523)))) % 6.02/6.28 (assume @p563 (forall @t6 (=> @t122 (forall @t20 (=> @t177 (forall @t108 (=> @t355 (tptp.subset @t354 @t172)))))))) % 6.02/6.28 (assume @p564 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 6.02/6.28 (assume @p565 (forall @t15 (=> @t689 (forall @t108 (=> @t688 (and (= (tptp.join @t234 @t11 @t45) @t522) (= (tptp.meet @t234 @t11 @t45) @t523))))))) % 6.02/6.28 (assume @p566 (forall @t15 (=> @t14 @t690))) % 6.02/6.28 (assume @p567 (forall @t6 (=> (and @t63 @t90 @t5) (forall @t20 (=> @t203 (= (and @t110 @t261) (forall @t108 (=> (and @t289 @t610) (exists @t156 (and @t155 @t166 @t691)))))))))) % 6.02/6.28 (assume @p568 (forall @t51 (=> (and @t151 @t586) @t686))) % 6.02/6.28 (assume @p569 (forall @t6 (and (= (tptp.the_carrier @t267) @t1) (= (tptp.the_InternalRel @t267) @t266)))) % 6.02/6.28 (assume @p570 (= @t587 (tptp.singleton tptp.empty_set))) % 6.02/6.28 (assume @p571 (forall @t51 (=> @t74 (=> @t693 (and @t692 (tptp.in @t11 @t313)))))) % 6.02/6.28 (assume @p572 (forall @t15 (=> @t149 (and (tptp.subset @t694 @t264) (tptp.subset @t694 @t1))))) % 6.02/6.28 (assume @p573 @t713) % 6.02/6.28 (assume @p574 (forall @t15 (=> @t487 (forall @t108 (=> @t335 (= @t716 (and @t692 (tptp.in @t714 @t223)))))))) % 6.02/6.28 (assume @p575 (forall @t222 (=> @t718 (forall @t174 (=> (and (tptp.relation @t163) (tptp.function @t163)) (=> @t143 (or @t230 (= (tptp.apply (tptp.relation_composition @t141 @t163) @t45) (tptp.apply @t163 @t717))))))))) % 6.02/6.28 (assume @p576 (forall @t6 (=> @t69 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 6.02/6.28 (assume @p577 (forall @t6 (=> @t72 (tptp.subset @t1 (tptp.cartesian_product2 @t183 @t319))))) % 6.02/6.28 (assume @p578 (forall @t51 (=> @t74 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 6.02/6.28 (assume @p579 (forall @t15 (=> @t487 (forall @t108 (=> @t335 (=> @t716 (= (tptp.apply @t715 @t1) (tptp.apply @t11 @t714)))))))) % 6.02/6.28 (assume @p580 (forall @t6 (=> @t122 (forall @t20 (=> @t203 (= (tptp.subset_difference @t3 @t299 @t327) @t11)))))) % 6.02/6.28 (assume @p581 (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))))) % 6.02/6.28 (assume @p582 (forall @t15 (=> @t149 (=> @t102 (tptp.reflexive @t682))))) % 6.02/6.28 (assume @p583 (forall @t15 (=> @t487 (forall @t108 (=> @t335 (=> (tptp.in @t1 @t223) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 6.02/6.28 (assume @p584 (forall @t6 (=> (and @t63 @t59 @t57 @t10) (forall @t20 (=> @t121 (forall @t108 (=> @t120 (tptp.below @t1 @t132 @t11)))))))) % 6.02/6.28 (assume @p585 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 6.02/6.28 (assume @p586 (forall @t51 (=> @t232 (= (forall @t156 (not (and @t166 (forall @t174 (not (tptp.in @t205 @t45)))))) (= @t403 @t11))))) % 6.02/6.28 (assume @p587 (forall @t15 (=> @t149 (=> @t719 (tptp.connected @t682))))) % 6.02/6.28 (assume @p588 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t509 @t353 @t13))))))) % 6.02/6.28 (assume @p589 (forall @t15 (=> @t149 (=> @t479 (tptp.transitive @t682))))) % 6.02/6.28 (assume @p590 (forall @t6 (=> @t678 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (=> (and @t364 (tptp.related @t1 @t45 @t11)) @t238)))))))) % 6.02/6.28 (assume @p591 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (=> @t151 (and (tptp.subset @t183 @t223) (tptp.subset @t319 @t224)))))))) % 6.02/6.28 (assume @p592 (forall @t15 (=> @t149 (=> @t480 (tptp.antisymmetric @t682))))) % 6.02/6.28 (assume @p593 (forall @t15 (=> @t149 (=> @t722 (and @t721 @t720))))) % 6.02/6.28 (assume @p594 (forall @t6 (=> @t187 (=> (tptp.finite @t183) (tptp.finite @t319))))) % 6.02/6.28 (assume @p595 (forall @t6 (=> @t468 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (=> (and @t295 (tptp.below @t1 @t45 @t11)) @t238)))))))) % 6.02/6.28 (assume @p596 (forall @t6 (=> (and @t90 @t5) (forall @t20 (=> @t121 (forall @t108 (=> @t120 (forall @t156 (=> @t155 (=> (and @t364 @t339) @t723)))))))))) % 6.02/6.28 (assume @p597 (forall @t6 (exists @t20 (and @t149 @t722)))) % 6.02/6.28 (assume @p598 (forall @t51 (=> @t151 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t523)))) % 6.02/6.28 (assume @p599 (forall @t15 (=> @t500 (forall @t108 (=> @t352 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t725 @t1 @t724))))))) % 6.02/6.28 (assume @p600 (forall @t6 (=> @t116 (not (and (forall @t20 (not (and @t12 @t230))) (forall @t20 (=> @t487 (not (and @t655 (forall @t108 (=> @t143 (tptp.in @t654 @t45)))))))))))) % 6.02/6.28 (assume @p601 (forall @t15 (=> @t151 (= @t131 @t1)))) % 6.02/6.28 (assume @p602 (forall @t15 (=> @t500 (forall @t108 (=> @t727 (= (tptp.relstr_element_smaller @t725 @t1 @t45) (tptp.latt_set_smaller @t11 @t726 @t1))))))) % 6.02/6.28 (assume @p603 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t328 @t481)))))) % 6.02/6.28 (assume @p604 (forall @t6 (=> @t269 (forall @t20 (and (= @t268 (tptp.join_on_relstr @t274 @t11)) (= @t270 (tptp.meet_on_relstr @t274 @t11))))))) % 6.02/6.28 (assume @p605 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 6.02/6.28 (assume @p606 (forall @t15 (=> @t689 (forall @t108 (=> @t688 (= (tptp.below @t234 @t11 @t45) @t586)))))) % 6.02/6.28 (assume @p607 (forall @t15 (=> @t690 (or @t109 @t14)))) % 6.02/6.28 (assume @p608 (forall @t15 (=> (forall @t108 (= @t143 @t248)) @t152))) % 6.02/6.28 (assume @p609 (forall @t6 (tptp.reflexive @t265))) % 6.02/6.28 (assume @p610 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 6.02/6.28 (assume @p611 (forall @t15 (=> (tptp.element @t11 @t728) (forall @t108 (=> (tptp.element @t45 @t728) (= (tptp.related_reflexive @t284 @t11 @t45) @t586)))))) % 6.02/6.28 (assume @p612 (forall @t15 (=> @t500 (forall @t108 (=> @t352 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t725 @t1 @t724))))))) % 6.02/6.28 (assume @p613 (forall @t51 (=> @t74 (=> @t693 (and @t685 (tptp.in @t11 @t684)))))) % 6.02/6.28 (assume @p614 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (= @t322 @t486)))))) % 6.02/6.28 (assume @p615 (forall @t6 (=> @t678 (forall @t20 (=> @t121 (forall @t108 (and (=> @t729 @t730) (=> @t730 @t729)))))))) % 6.02/6.28 (assume @p616 (forall @t15 (=> @t500 (forall @t108 (=> @t727 (= (tptp.relstr_set_smaller @t725 @t1 @t45) (tptp.latt_element_smaller @t11 @t726 @t1))))))) % 6.02/6.28 (assume @p617 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t150))) @t40))) % 6.02/6.28 (assume @p618 (forall @t15 (=> @t149 (=> @t731 (tptp.well_founded_relation @t682))))) % 6.02/6.28 (assume @p619 (forall @t6 (=> @t275 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t343) @t525)))))))) % 6.02/6.28 (assume @p620 (forall @t15 (=> @t37 (not (and @t151 @t253 (forall @t108 (=> @t563 (not (and @t143 (forall @t156 (=> @t570 (=> @t252 (tptp.ordinal_subset @t45 @t141))))))))))))) % 6.02/6.28 (assume @p621 (forall @t15 (=> @t149 (=> @t510 @t720)))) % 6.02/6.28 (assume @p622 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t242 @t11))))))) % 6.02/6.28 (assume @p623 (forall @t51 (=> @t151 (tptp.subset (tptp.set_difference @t1 @t45) @t524)))) % 6.02/6.28 (assume @p624 (forall @t222 (=> (= @t324 @t144) @t504))) % 6.02/6.28 (assume @p625 (forall @t15 (=> @t487 (= @t148 (and @t655 (forall @t108 (=> @t143 (= @t654 @t45)))))))) % 6.02/6.28 (assume @p626 (forall @t6 (=> @t269 (forall @t20 (=> @t121 (forall @t108 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t211 (forall @t156 (=> @t155 (=> (tptp.latt_set_smaller @t1 @t141 @t45) (tptp.below_refl @t1 @t141 @t11)))))))))))) % 6.02/6.28 (assume @p627 (forall @t15 (=> @t12 (= (tptp.apply @t147 @t11) @t11)))) % 6.02/6.28 (assume @p628 (forall @t15 (tptp.subset @t317 @t1))) % 6.02/6.28 (assume @p629 (forall @t6 (=> @t72 (and (= @t319 (tptp.relation_dom @t331)) (= @t183 (tptp.relation_rng @t331)))))) % 6.02/6.28 (assume @p630 (forall @t51 (= (tptp.subset @t124 @t45) (and @t516 @t298)))) % 6.02/6.28 (assume @p631 (forall @t15 (=> @t149 (=> (and @t510 (tptp.subset @t1 @t264)) @t721)))) % 6.02/6.28 (assume @p632 (forall @t15 (= @t732 @t126))) % 6.02/6.28 (assume @p633 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 6.02/6.28 (assume @p634 (forall @t6 (and @t442 (= (tptp.bottom_of_semilattstr @t234) tptp.empty_set)))) % 6.02/6.28 (assume @p635 (forall @t51 (not (and @t14 @t298 @t143)))) % 6.02/6.28 (assume @p636 (forall @t15 (= @t517 @t151))) % 6.02/6.28 (assume @p637 (forall @t6 (tptp.transitive @t265))) % 6.02/6.28 (assume @p638 (forall @t15 (and (not (and @t734 (forall @t108 (not @t733)))) (not (and (exists @t108 @t733) @t336))))) % 6.02/6.28 (assume @p639 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t229))) % 6.02/6.28 (assume @p640 (forall @t15 (= (tptp.set_difference @t126 @t11) @t317))) % 6.02/6.28 (assume @p641 (forall @t6 (=> @t40 (= @t321 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t645 @t1)))))))) % 6.02/6.28 (assume @p642 (forall @t6 (=> @t40 (and (not (and (not @t321) (forall @t20 (=> @t37 (not @t735))))) (not (and (exists @t20 (and @t37 @t735)) @t321)))))) % 6.02/6.28 (assume @p643 (forall @t6 (=> @t736 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 6.02/6.28 (assume @p644 (forall @t15 (=> @t33 (forall @t108 (=> @t136 (= @t738 (tptp.subset @t11 @t737))))))) % 6.02/6.28 (assume @p645 (forall @t6 (=> @t488 (forall @t20 (=> @t247 (=> @t281 (tptp.closed_subset @t668 @t1))))))) % 6.02/6.28 (assume @p646 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (tptp.subset @t739 @t183)))))) % 6.02/6.28 (assume @p647 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (tptp.subset @t256 @t11)))))) % 6.02/6.28 (assume @p648 (forall @t6 (=> @t736 (forall @t20 (=> @t121 (tptp.related @t1 @t181 @t11)))))) % 6.02/6.28 (assume @p649 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (forall @t108 (=> (tptp.in @t45 @t3) (= @t741 (forall @t156 (=> @t660 (=> @t740 @t251))))))))))) % 6.02/6.28 (assume @p650 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (tptp.subset @t679 @t224)))))) % 6.02/6.28 (assume @p651 (forall @t15 (=> @t151 (= @t11 @t732)))) % 6.02/6.28 (assume @p652 (forall @t222 (=> @t718 (=> @t272 (forall @t174 (= (tptp.in @t163 (tptp.relation_inverse_image @t141 @t45)) (and @t188 (tptp.in (tptp.apply @t141 @t163) @t45)))))))) % 6.02/6.28 (assume @p653 (forall @t6 (=> @t488 (forall @t20 (=> @t203 (exists @t108 (and @t291 (forall @t156 (=> @t660 (= @t184 @t740))) (= @t201 (tptp.meet_of_subsets @t3 @t45))))))))) % 6.02/6.28 (assume @p654 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (=> (tptp.subset @t319 @t223) (= @t739 @t183))))))) % 6.02/6.28 (assume @p655 (forall @t15 (=> @t349 @t662))) % 6.02/6.28 (assume @p656 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (=> (tptp.subset @t183 @t224) (= (tptp.relation_rng @t428) @t319))))))) % 6.02/6.28 (assume @p657 (forall @t15 (=> @t349 (=> @t272 (= (tptp.subset_difference @t1 @t311 @t404) @t664))))) % 6.02/6.28 (assume @p658 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (tptp.subset @t11 @t201)))))) % 6.02/6.28 (assume @p659 (forall @t15 (=> @t349 (=> @t272 (= @t665 (tptp.subset_difference @t1 @t311 @t407)))))) % 6.02/6.28 (assume @p660 (forall @t15 (= (tptp.set_difference @t1 @t317) @t131))) % 6.02/6.28 (assume @p661 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t335 (=> @t334 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 6.02/6.28 (assume @p662 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 6.02/6.28 (assume @p663 (forall @t51 (=> (and @t14 @t742) (tptp.element @t1 @t45)))) % 6.02/6.28 (assume @p664 (forall @t6 (=> @t40 (tptp.connected @t265)))) % 6.02/6.28 (assume @p665 (forall @t15 (and (not (and @t734 (forall @t108 (not @t743)))) (not (and (exists @t108 @t743) @t336))))) % 6.02/6.28 (assume @p666 (forall @t6 (= @t284 (tptp.incl_POSet @t32)))) % 6.02/6.28 (assume @p667 (forall @t6 (=> @t269 (and @t63 @t55 @t54 @t10 (= @t213 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 6.02/6.28 (assume @p668 (forall @t6 (=> @t253 (forall @t20 (=> @t33 (forall @t108 (=> @t381 (=> @t296 (tptp.in @t45 @t323))))))))) % 6.02/6.28 (assume @p669 (forall @t6 (=> @t488 (forall @t20 (=> @t203 @t495))))) % 6.02/6.28 (assume @p670 (forall @t6 (=> @t204 (forall @t20 (=> @t203 (and (=> @t328 @t744) (=> (and @t217 @t744) @t328))))))) % 6.02/6.28 (assume @p671 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t335 (=> @t334 (and (=> @t71 @t102) (=> @t73 @t479) (=> @t209 @t719) (=> @t191 @t480) (=> @t283 @t731)))))))))) % 6.02/6.28 (assume @p672 (forall @t6 (=> @t187 (=> @t83 (forall @t20 (=> @t487 (= (= @t11 @t363) (and (= @t223 @t319) (forall @t146 (and (=> @t745 @t318) (=> @t318 @t745))))))))))) % 6.02/6.28 (assume @p673 (forall @t51 (=> @t136 (not (and (tptp.in @t11 @t737) @t298))))) % 6.02/6.28 (assume @p674 (forall @t6 (=> @t72 (forall @t20 (=> @t149 (forall @t108 (=> @t335 (=> (and @t312 @t334) @t510)))))))) % 6.02/6.28 (assume @p675 (forall @t6 (=> @t187 (=> @t83 (and (= @t319 (tptp.relation_dom @t363)) (= @t183 (tptp.relation_rng @t363))))))) % 6.02/6.28 (assume @p676 (forall @t6 (=> @t488 (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)) (=> (= @t215 @t45) @t257))))))))))) % 6.02/6.28 (assume @p677 (forall @t6 (=> @t72 (=> (forall @t161 @t513) @t229)))) % 6.02/6.28 (assume @p678 (forall @t15 (=> @t487 (=> (and @t100 (tptp.in @t1 @t224)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t746 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t746 @t11) @t1))))))) % 6.02/6.28 (assume @p679 (forall @t6 (=> @t218 (forall @t20 (=> @t203 (forall @t108 (=> @t120 (=> (and @t322 @t248) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 6.02/6.28 (assume @p680 (forall @t51 (not (and @t14 @t742 @t115)))) % 6.02/6.28 (assume @p681 (forall @t15 (=> @t33 (= @t520 (not (= @t11 @t1)))))) % 6.02/6.28 (assume @p682 (forall @t6 (=> @t180 (forall @t20 (=> @t247 (not (and @t292 @t230))))))) % 6.02/6.28 (assume @p683 (forall @t6 (=> @t72 (= @t283 (tptp.is_well_founded_in @t1 @t190))))) % 6.02/6.28 (assume @p684 (forall @t6 (tptp.antisymmetric @t265))) % 6.02/6.28 (assume @p685 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 6.02/6.28 (assume @p686 (forall @t15 (not (and @t151 @t16)))) % 6.02/6.28 (assume @p687 @t762) % 6.02/6.28 (assume @p688 (forall @t6 (=> @t5 (forall @t20 (=> (and @t210 @t207) (forall @t108 (=> @t120 (forall @t156 (=> @t155 (forall @t174 (=> @t173 (forall @t344 (=> @t750 (=> (and @t219 @t623 @t339 (tptp.in @t163 @t172) (tptp.in @t285 @t172)) @t747)))))))))))))) % 6.02/6.28 (assume @p689 (forall @t6 (=> @t187 (=> @t83 (tptp.one_to_one @t363))))) % 6.02/6.28 (assume @p690 (forall @t51 (=> (and @t151 @t738) (tptp.disjoint @t1 @t45)))) % 6.02/6.28 (assume @p691 (forall @t6 (=> @t72 (=> (or @t764 @t763) @t229)))) % 6.02/6.28 (assume @p692 (forall @t6 (=> @t72 (= @t764 @t763)))) % 6.02/6.28 (assume @p693 (forall @t15 (= (= (tptp.set_difference @t1 @t514) @t1) @t13))) % 6.02/6.28 (assume @p694 (forall @t15 (=> @t487 (forall @t108 (=> @t335 (= (= @t11 @t518) (and (= @t223 (tptp.set_intersection2 @t314 @t1)) (forall @t156 (=> (tptp.in @t141 @t223) (= (tptp.apply @t11 @t141) @t333)))))))))) % 6.02/6.28 (assume @p695 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t241))) % 6.02/6.28 (assume @p696 (forall @t6 (=> @t30 @t229))) % 6.02/6.28 (assume @p697 (forall @t222 (=> @t718 (=> @t143 (or @t230 (tptp.in @t717 @t676)))))) % 6.02/6.28 (assume @p698 (forall @t6 (=> @t40 (tptp.well_founded_relation @t265)))) % 6.02/6.28 (assume @p699 (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))))))) % 6.02/6.28 (assume @p700 (forall @t6 (=> @t218 (forall @t20 (=> @t203 (forall @t108 (=> @t120 (= @t741 (forall @t156 (=> (tptp.point_neighbourhood @t141 @t1 @t45) (not (tptp.disjoint @t141 @t11)))))))))))) % 6.02/6.28 (assume @p701 (forall @t15 (=> (tptp.subset @t241 @t514) @t152))) % 6.02/6.28 (assume @p702 (forall @t51 (=> @t335 (=> @t519 @t765)))) % 6.02/6.28 (assume @p703 (forall @t6 (and (= (tptp.relation_dom @t147) @t1) (= (tptp.relation_rng @t147) @t1)))) % 6.02/6.28 (assume @p704 (forall @t51 (=> @t335 (=> @t12 @t765)))) % 6.02/6.28 (assume @p705 (forall @t222 (=> @t590 (= (tptp.in @t324 (tptp.relation_composition (tptp.identity_relation @t45) @t141)) (and @t516 (tptp.in @t324 @t141)))))) % 6.02/6.28 (assume @p706 (forall @t15 (not (and @t14 @t109)))) % 6.02/6.28 (assume @p707 (forall @t6 (=> @t275 (forall @t20 (=> @t121 (forall @t108 (=> @t120 (= @t525 (tptp.related_reflexive @t274 @t294 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 6.02/6.28 (assume @p708 (forall @t15 (and (= (tptp.pair_first @t324) @t1) (= (tptp.pair_second @t324) @t11)))) % 6.02/6.28 (assume @p709 (forall @t15 (not (and @t14 (forall @t108 (not (and @t248 (forall @t156 (not (and @t166 @t184)))))))))) % 6.02/6.28 (assume @p710 (forall @t6 (=> @t40 (tptp.well_ordering @t265)))) % 6.02/6.28 (assume @p711 (forall @t15 (tptp.subset @t1 @t126))) % 6.02/6.28 (assume @p712 (forall @t15 (= @t336 (= @t317 @t1)))) % 6.02/6.28 (assume @p713 (forall @t51 (=> @t74 (= (tptp.in @t1 (tptp.relation_dom @t669)) (and @t14 @t692))))) % 6.02/6.28 (assume @p714 (forall @t15 (=> @t149 (tptp.subset @t683 @t11)))) % 6.02/6.28 (assume @p715 (forall @t15 (not (and @t30 @t353 @t109)))) % 6.02/6.28 (assume @p716 (forall @t51 (=> @t335 (= @t693 (and @t692 (= @t11 @t714)))))) % 6.02/6.28 (assume @p717 (forall @t6 (=> @t180 (forall @t20 (=> @t179 (forall @t146 (=> @t263 (and (=> @t176 (tptp.is_eventually_in @t1 @t11 @t141)) (=> @t192 (tptp.is_often_in @t1 @t11 @t141)))))))))) % 6.02/6.28 (assume @p718 (forall @t6 (=> @t72 (= (tptp.well_orders @t1 @t190) @t312)))) % 6.02/6.28 (assume @p719 (forall @t51 (=> (and @t151 @t290) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 6.02/6.28 (assume @p720 (forall @t51 (=> @t766 @t152))) % 6.02/6.28 (assume @p721 (forall @t15 (=> @t149 (= (tptp.relation_dom @t683) @t673)))) % 6.02/6.28 (assume @p722 (forall @t6 (=> @t180 (forall @t20 (=> @t121 (= (tptp.apply_as_element @t3 @t3 @t162 @t11) @t11)))))) % 6.02/6.28 (assume @p723 (forall @t15 (=> @t149 (= @t683 (tptp.relation_composition @t147 @t11))))) % 6.02/6.28 (assume @p724 (forall @t15 (=> @t149 (tptp.subset (tptp.relation_rng @t683) @t224)))) % 6.02/6.28 (assume @p725 (forall @t6 (= (tptp.union @t32) @t1))) % 6.02/6.28 (assume @p726 (forall @t222 (=> @t718 (=> @t586 (or (and @t230 @t253) (and @t390 (tptp.quasi_total @t141 @t1 @t45) (tptp.relation_of2_as_subset @t141 @t1 @t45))))))) % 6.02/6.28 (assume @p727 (forall @t6 (exists @t20 (and @t14 @t667 (forall @t108 (not (and @t248 (forall @t156 (not (and @t166 (forall @t174 (=> (tptp.subset @t163 @t45) @t221)))))))) @t666)))) % 6.02/6.28 (assume @p728 (forall @t51 (=> @t766 @t238))) % 6.02/6.28 (step @p729 :rule aci_norm :args ((= @t781 @t779))) % 6.02/6.28 (step @p730 :rule cong :premises (@p729) :args (@t783)) % 6.02/6.28 (step @p731 :rule quant-merge-prenex :args ((= (forall @t6 @t785) @t783))) % 6.02/6.28 (step @p732 :rule alpha_equiv :args (@t786 (@list @t769 @t768 @t767) (@list @t11 @t788 @t787))) % 6.02/6.28 (step @p733 :rule refl :args (@t778)) % 6.02/6.28 (step @p734 :rule nary_cong :premises (@p733 @p732) :args (@t789)) % 6.02/6.28 (step @p735 :rule quant-miniscope-or :args ((= @t785 @t789))) % 6.02/6.28 (step @p736 :rule trans :premises (@p735 @p734)) % 6.02/6.28 (step @p737 :rule symm :premises (@p736)) % 6.02/6.28 (step @p738 :rule cong :premises (@p737) :args ((forall @t6 (or @t778 @t799)))) % 6.02/6.28 (step @p739 :rule trans :premises (@p738 @p731)) % 6.02/6.28 (step @p740 :rule trans :premises (@p739 @p730)) % 6.02/6.28 (step @p741 :rule bool-impl-elim :args (@t5 @t799)) % 6.02/6.28 (step @p742 :rule cong :premises (@p741) :args ((forall @t6 (=> @t5 @t799)))) % 6.02/6.28 (step @p743 :rule trans :premises (@p742 @p740)) % 6.02/6.28 (step @p744 :rule aci_norm :args ((= @t801 @t797))) % 6.02/6.28 (step @p745 :rule cong :premises (@p744) :args (@t802)) % 6.02/6.28 (step @p746 :rule quant-merge-prenex :args ((= (forall @t20 @t804) @t802))) % 6.02/6.28 (step @p747 :rule alpha_equiv :args (@t805 (@list @t788 @t787) (@list @t45 @t806))) % 6.02/6.28 (step @p748 :rule refl :args (@t796)) % 6.02/6.28 (step @p749 :rule nary_cong :premises (@p748 @p747) :args (@t807)) % 6.02/6.28 (step @p750 :rule quant-miniscope-or :args ((= @t804 @t807))) % 6.02/6.28 (step @p751 :rule trans :premises (@p750 @p749)) % 6.02/6.28 (step @p752 :rule symm :premises (@p751)) % 6.02/6.28 (step @p753 :rule cong :premises (@p752) :args ((forall @t20 (or @t796 @t816)))) % 6.02/6.28 (step @p754 :rule trans :premises (@p753 @p746)) % 6.02/6.28 (step @p755 :rule trans :premises (@p754 @p745)) % 6.02/6.28 (step @p756 :rule bool-impl-elim :args (@t207 @t816)) % 6.02/6.28 (step @p757 :rule cong :premises (@p756) :args ((forall @t20 (=> @t207 @t816)))) % 6.02/6.28 (step @p758 :rule trans :premises (@p757 @p755)) % 6.02/6.28 (step @p759 :rule aci_norm :args ((= @t818 @t814))) % 6.02/6.28 (step @p760 :rule cong :premises (@p759) :args (@t819)) % 6.02/6.28 (step @p761 :rule quant-merge-prenex :args ((= (forall @t108 @t821) @t819))) % 6.02/6.28 (step @p762 :rule alpha_equiv :args (@t822 (@list @t806) (@list @t141))) % 6.02/6.28 (step @p763 :rule refl :args (@t812)) % 6.02/6.28 (step @p764 :rule refl :args (@t813)) % 6.02/6.28 (step @p765 :rule nary_cong :premises (@p764 @p763 @p762) :args (@t823)) % 6.02/6.28 (step @p766 :rule quant-miniscope-or :args ((= @t821 @t823))) % 6.02/6.28 (step @p767 :rule trans :premises (@p766 @p765)) % 6.02/6.28 (step @p768 :rule symm :premises (@p767)) % 6.02/6.28 (step @p769 :rule cong :premises (@p768) :args ((forall @t108 @t829))) % 6.02/6.28 (step @p770 :rule trans :premises (@p769 @p761)) % 6.02/6.28 (step @p771 :rule trans :premises (@p770 @p760)) % 6.02/6.28 (step @p772 :rule aci_norm :args ((= (or @t813 @t830) @t829))) % 6.02/6.28 (step @p773 :rule bool-impl-elim :args (@t120 @t830)) % 6.02/6.28 (step @p774 :rule trans :premises (@p773 @p772)) % 6.02/6.28 (step @p775 :rule cong :premises (@p774) :args ((forall @t108 (=> @t120 @t830)))) % 6.02/6.28 (step @p776 :rule trans :premises (@p775 @p771)) % 6.02/6.28 (step @p777 :rule quant-miniscope-or :args ((= (forall @t156 @t831) @t830))) % 6.02/6.28 (step @p778 :rule aci_norm :args ((= @t832 @t831))) % 6.02/6.28 (step @p779 :rule cong :premises (@p778) :args ((forall @t156 @t832))) % 6.02/6.28 (step @p780 :rule trans :premises (@p779 @p777)) % 6.02/6.28 (step @p781 :rule aci_norm :args ((= (or @t826 @t833) @t832))) % 6.02/6.28 (step @p782 :rule bool-impl-elim :args (@t155 @t833)) % 6.02/6.28 (step @p783 :rule trans :premises (@p782 @p781)) % 6.02/6.28 (step @p784 :rule cong :premises (@p783) :args ((forall @t156 (=> @t155 @t833)))) % 6.02/6.28 (step @p785 :rule trans :premises (@p784 @p780)) % 6.02/6.28 (step @p786 :rule aci_norm :args ((= (or @t339 @t825 @t834) @t833))) % 6.02/6.28 (step @p787 :rule aci_norm :args ((= (or @t812 false @t824) @t834))) % 6.02/6.28 (step @p788 :rule refl :args (@t824)) % 6.02/6.28 (step @p789 :rule evaluate :args ((not true))) % 6.02/6.28 (step @p790 :rule eq-refl :args (@t45)) % 6.02/6.28 (step @p791 :rule cong :premises (@p790) :args (@t835)) % 6.02/6.28 (step @p792 :rule trans :premises (@p791 @p789)) % 6.02/6.28 (step @p793 :rule refl :args (@t812)) % 6.02/6.28 (step @p794 :rule nary_cong :premises (@p793 @p792 @p788) :args (@t836)) % 6.02/6.28 (step @p795 :rule trans :premises (@p794 @p787)) % 6.02/6.28 (step @p796 :rule quant-var-elim-eq :args ((= (forall @t174 (or @t220 @t839 @t838 @t837)) @t836))) % 6.02/6.28 (step @p797 :rule refl :args (@t837)) % 6.02/6.28 (step @p798 :rule refl :args (@t838)) % 6.02/6.28 (step @p799 :rule refl :args (@t839)) % 6.02/6.28 (step @p800 :rule eq-symm :args (@t45 @t163)) % 6.02/6.28 (step @p801 :rule cong :premises (@p800) :args (@t838)) % 6.02/6.28 (step @p802 :rule nary_cong :premises (@p801 @p799 @p798 @p797) :args (@t840)) % 6.02/6.28 (step @p803 :rule aci_norm :args ((= @t841 @t840))) % 6.02/6.28 (step @p804 :rule trans :premises (@p803 @p802)) % 6.02/6.28 (step @p805 :rule cong :premises (@p804) :args (@t842)) % 6.02/6.28 (step @p806 :rule trans :premises (@p805 @p796)) % 6.02/6.28 (step @p807 :rule trans :premises (@p806 @p795)) % 6.02/6.28 (step @p808 :rule refl :args (@t825)) % 6.02/6.28 (step @p809 :rule refl :args (@t339)) % 6.02/6.28 (step @p810 :rule nary_cong :premises (@p809 @p808 @p807) :args (@t843)) % 6.02/6.28 (step @p811 :rule trans :premises (@p810 @p786)) % 6.02/6.28 (step @p812 :rule quant-miniscope-or :args ((= (forall @t174 @t844) @t843))) % 6.02/6.28 (step @p813 :rule aci_norm :args ((= @t845 @t844))) % 6.02/6.28 (step @p814 :rule cong :premises (@p813) :args ((forall @t174 @t845))) % 6.02/6.28 (step @p815 :rule trans :premises (@p814 @p812)) % 6.02/6.28 (step @p816 :rule trans :premises (@p815 @p811)) % 6.02/6.28 (step @p817 :rule aci_norm :args ((= (or @t839 @t846) @t845))) % 6.02/6.28 (step @p818 :rule bool-impl-elim :args (@t173 @t846)) % 6.02/6.28 (step @p819 :rule trans :premises (@p818 @p817)) % 6.02/6.28 (step @p820 :rule cong :premises (@p819) :args ((forall @t174 (=> @t173 @t846)))) % 6.02/6.28 (step @p821 :rule trans :premises (@p820 @p816)) % 6.02/6.28 (step @p822 :rule aci_norm :args ((= (or @t838 @t339 @t847) @t846))) % 6.02/6.28 (step @p823 :rule aci_norm :args ((= (or @t825 false @t837) @t847))) % 6.02/6.28 (step @p824 :rule refl :args (@t837)) % 6.02/6.28 (step @p825 :rule eq-refl :args (@t141)) % 6.02/6.28 (step @p826 :rule cong :premises (@p825) :args (@t848)) % 6.02/6.28 (step @p827 :rule trans :premises (@p826 @p789)) % 6.02/6.28 (step @p828 :rule nary_cong :premises (@p808 @p827 @p824) :args (@t849)) % 6.02/6.28 (step @p829 :rule trans :premises (@p828 @p823)) % 6.02/6.28 (step @p830 :rule quant-var-elim-eq :args ((= (forall @t344 (or @t853 @t852 @t851 @t850)) @t849))) % 6.02/6.28 (step @p831 :rule refl :args (@t850)) % 6.02/6.28 (step @p832 :rule refl :args (@t851)) % 6.02/6.28 (step @p833 :rule refl :args (@t852)) % 6.02/6.28 (step @p834 :rule eq-symm :args (@t141 @t285)) % 6.02/6.28 (step @p835 :rule cong :premises (@p834) :args (@t851)) % 6.02/6.28 (step @p836 :rule nary_cong :premises (@p835 @p833 @p832 @p831) :args (@t854)) % 6.02/6.28 (step @p837 :rule aci_norm :args ((= @t855 @t854))) % 6.02/6.28 (step @p838 :rule trans :premises (@p837 @p836)) % 6.02/6.28 (step @p839 :rule cong :premises (@p838) :args (@t856)) % 6.02/6.28 (step @p840 :rule trans :premises (@p839 @p830)) % 6.02/6.28 (step @p841 :rule trans :premises (@p840 @p829)) % 6.02/6.28 (step @p842 :rule refl :args (@t838)) % 6.02/6.28 (step @p843 :rule nary_cong :premises (@p842 @p809 @p841) :args (@t857)) % 6.02/6.28 (step @p844 :rule trans :premises (@p843 @p822)) % 6.02/6.28 (step @p845 :rule quant-miniscope-or :args ((= (forall @t344 @t858) @t857))) % 6.02/6.28 (step @p846 :rule aci_norm :args ((= @t859 @t858))) % 6.02/6.28 (step @p847 :rule cong :premises (@p846) :args ((forall @t344 @t859))) % 6.02/6.28 (step @p848 :rule trans :premises (@p847 @p845)) % 6.02/6.28 (step @p849 :rule trans :premises (@p848 @p844)) % 6.02/6.28 (step @p850 :rule aci_norm :args ((= (or @t852 @t860) @t859))) % 6.02/6.28 (step @p851 :rule aci_norm :args ((= (or @t861 @t339) @t860))) % 6.02/6.28 (step @p852 :rule refl :args (@t339)) % 6.02/6.28 (step @p853 :rule aci_norm :args ((= (or @t838 (or @t851 @t850)) @t861))) % 6.02/6.28 (step @p854 :rule bool-and-de-morgan :args (@t599 @t747 true)) % 6.02/6.28 (step @p855 :rule nary_cong :premises (@p798 @p854) :args ((or @t838 (not (and @t599 @t747))))) % 6.02/6.28 (step @p856 :rule bool-and-de-morgan :args (@t616 @t599 (and @t747))) % 6.02/6.28 (step @p857 :rule trans :premises (@p856 @p855)) % 6.02/6.28 (step @p858 :rule trans :premises (@p857 @p853)) % 6.02/6.28 (step @p859 :rule nary_cong :premises (@p858 @p852) :args ((or (not @t862) @t339))) % 6.02/6.28 (step @p860 :rule trans :premises (@p859 @p851)) % 6.02/6.28 (step @p861 :rule bool-impl-elim :args (@t862 @t339)) % 6.02/6.28 (step @p862 :rule trans :premises (@p861 @p860)) % 6.02/6.28 (step @p863 :rule nary_cong :premises (@p833 @p862) :args ((or @t852 @t863))) % 6.02/6.28 (step @p864 :rule trans :premises (@p863 @p850)) % 6.02/6.28 (step @p865 :rule bool-impl-elim :args (@t750 @t863)) % 6.02/6.28 (step @p866 :rule trans :premises (@p865 @p864)) % 6.02/6.28 (step @p867 :rule cong :premises (@p866) :args ((forall @t344 (=> @t750 @t863)))) % 6.02/6.28 (step @p868 :rule trans :premises (@p867 @p849)) % 6.02/6.28 (step @p869 :rule refl :args (@t747)) % 6.02/6.28 (step @p870 :rule eq-symm :args (@t285 @t141)) % 6.02/6.28 (step @p871 :rule eq-symm :args (@t163 @t45)) % 6.02/6.28 (step @p872 :rule nary_cong :premises (@p871 @p870 @p869) :args (@t748)) % 6.02/6.28 (step @p873 :rule cong :premises (@p872 @p809) :args (@t749)) % 6.02/6.28 (step @p874 :rule refl :args (@t750)) % 6.02/6.28 (step @p875 :rule cong :premises (@p874 @p873) :args (@t751)) % 6.02/6.28 (step @p876 :rule cong :premises (@p875) :args (@t752)) % 6.02/6.28 (step @p877 :rule trans :premises (@p876 @p868)) % 6.02/6.28 (step @p878 :rule refl :args (@t173)) % 6.02/6.28 (step @p879 :rule cong :premises (@p878 @p877) :args (@t753)) % 6.02/6.28 (step @p880 :rule cong :premises (@p879) :args (@t754)) % 6.02/6.28 (step @p881 :rule trans :premises (@p880 @p821)) % 6.02/6.28 (step @p882 :rule refl :args (@t155)) % 6.02/6.28 (step @p883 :rule cong :premises (@p882 @p881) :args (@t755)) % 6.02/6.28 (step @p884 :rule cong :premises (@p883) :args (@t756)) % 6.02/6.28 (step @p885 :rule trans :premises (@p884 @p785)) % 6.02/6.28 (step @p886 :rule refl :args (@t120)) % 6.02/6.28 (step @p887 :rule cong :premises (@p886 @p885) :args (@t757)) % 6.02/6.28 (step @p888 :rule cong :premises (@p887) :args (@t758)) % 6.02/6.28 (step @p889 :rule trans :premises (@p888 @p776)) % 6.02/6.28 (step @p890 :rule refl :args (@t207)) % 6.02/6.28 (step @p891 :rule cong :premises (@p890 @p889) :args (@t759)) % 6.02/6.28 (step @p892 :rule cong :premises (@p891) :args (@t760)) % 6.02/6.28 (step @p893 :rule trans :premises (@p892 @p758)) % 6.02/6.28 (step @p894 :rule refl :args (@t5)) % 6.02/6.28 (step @p895 :rule cong :premises (@p894 @p893) :args (@t761)) % 6.02/6.28 (step @p896 :rule cong :premises (@p895) :args (@t762)) % 6.02/6.28 (step @p897 :rule trans :premises (@p896 @p743)) % 6.02/6.28 (step @p898 :rule eq_resolve :premises (@p687 @p897)) % 6.02/6.28 (step @p899 :rule aci_norm :args ((= @t871 (or @t869 @t868 @t867 @t866)))) % 6.02/6.28 (step @p900 :rule cong :premises (@p899) :args (@t872)) % 6.02/6.28 (step @p901 :rule quant-merge-prenex :args ((= (forall @t6 @t874) @t872))) % 6.02/6.28 (step @p902 :rule alpha_equiv :args (@t875 (@list @t865 @t864) (@list @t11 @t876))) % 6.02/6.28 (step @p903 :rule refl :args (@t869)) % 6.02/6.28 (step @p904 :rule nary_cong :premises (@p903 @p902) :args (@t877)) % 6.02/6.28 (step @p905 :rule quant-miniscope-or :args ((= @t874 @t877))) % 6.02/6.28 (step @p906 :rule trans :premises (@p905 @p904)) % 6.02/6.28 (step @p907 :rule symm :premises (@p906)) % 6.02/6.28 (step @p908 :rule cong :premises (@p907) :args ((forall @t6 (or @t869 @t883)))) % 6.02/6.28 (step @p909 :rule trans :premises (@p908 @p901)) % 6.02/6.28 (step @p910 :rule trans :premises (@p909 @p900)) % 6.02/6.28 (step @p911 :rule bool-impl-elim :args (@t122 @t883)) % 6.02/6.28 (step @p912 :rule cong :premises (@p911) :args ((forall @t6 (=> @t122 @t883)))) % 6.02/6.28 (step @p913 :rule trans :premises (@p912 @p910)) % 6.02/6.28 (step @p914 :rule aci_norm :args ((= @t885 @t881))) % 6.02/6.28 (step @p915 :rule cong :premises (@p914) :args (@t886)) % 6.02/6.28 (step @p916 :rule quant-merge-prenex :args ((= (forall @t20 @t888) @t886))) % 6.02/6.28 (step @p917 :rule alpha_equiv :args (@t889 (@list @t876) @t890)) % 6.02/6.28 (step @p918 :rule refl :args (@t880)) % 6.02/6.28 (step @p919 :rule nary_cong :premises (@p918 @p917) :args (@t891)) % 6.02/6.28 (step @p920 :rule quant-miniscope-or :args ((= @t888 @t891))) % 6.02/6.28 (step @p921 :rule trans :premises (@p920 @p919)) % 6.02/6.28 (step @p922 :rule symm :premises (@p921)) % 6.02/6.28 (step @p923 :rule cong :premises (@p922) :args ((forall @t20 (or @t880 @t892)))) % 6.02/6.28 (step @p924 :rule trans :premises (@p923 @p916)) % 6.02/6.28 (step @p925 :rule trans :premises (@p924 @p915)) % 6.02/6.28 (step @p926 :rule bool-impl-elim :args (@t177 @t892)) % 6.02/6.28 (step @p927 :rule cong :premises (@p926) :args ((forall @t20 (=> @t177 @t892)))) % 6.02/6.28 (step @p928 :rule trans :premises (@p927 @p925)) % 6.02/6.28 (step @p929 :rule bool-impl-elim :args (@t357 @t356)) % 6.02/6.28 (step @p930 :rule cong :premises (@p929) :args (@t358)) % 6.02/6.28 (step @p931 :rule refl :args (@t177)) % 6.02/6.28 (step @p932 :rule cong :premises (@p931 @p930) :args (@t359)) % 6.02/6.28 (step @p933 :rule cong :premises (@p932) :args (@t360)) % 6.02/6.28 (step @p934 :rule trans :premises (@p933 @p928)) % 6.02/6.28 (step @p935 :rule refl :args (@t122)) % 6.02/6.28 (step @p936 :rule cong :premises (@p935 @p934) :args (@t361)) % 6.02/6.28 (step @p937 :rule cong :premises (@p936) :args (@t362)) % 6.02/6.28 (step @p938 :rule trans :premises (@p937 @p913)) % 6.02/6.28 (step @p939 :rule eq_resolve :premises (@p179 @p938)) % 6.02/6.28 (step @p940 :rule instantiate :premises (@p939) :args (@t913)) % 6.02/6.28 (step @p941 :rule aci_norm :args ((= @t918 (or @t869 @t880 @t916 @t915)))) % 6.02/6.28 (step @p942 :rule cong :premises (@p941) :args (@t919)) % 6.02/6.28 (step @p943 :rule quant-merge-prenex :args ((= (forall @t15 @t921) @t919))) % 6.02/6.28 (step @p944 :rule alpha_equiv :args (@t922 (@list @t914) @t890)) % 6.02/6.28 (step @p945 :rule nary_cong :premises (@p903 @p918 @p944) :args (@t923)) % 6.02/6.28 (step @p946 :rule quant-miniscope-or :args ((= @t921 @t923))) % 6.02/6.28 (step @p947 :rule trans :premises (@p946 @p945)) % 6.02/6.28 (step @p948 :rule symm :premises (@p947)) % 6.02/6.28 (step @p949 :rule cong :premises (@p948) :args ((forall @t15 @t926))) % 6.02/6.28 (step @p950 :rule trans :premises (@p949 @p943)) % 6.02/6.28 (step @p951 :rule trans :premises (@p950 @p942)) % 6.02/6.28 (step @p952 :rule aci_norm :args ((= (or (or @t869 @t880) @t925) @t926))) % 6.02/6.28 (step @p953 :rule refl :args (@t925)) % 6.02/6.28 (step @p954 :rule bool-and-de-morgan :args (@t122 @t177 true)) % 6.02/6.28 (step @p955 :rule nary_cong :premises (@p954 @p953) :args ((or (not @t419) @t925))) % 6.02/6.28 (step @p956 :rule trans :premises (@p955 @p952)) % 6.02/6.28 (step @p957 :rule bool-impl-elim :args (@t419 @t925)) % 6.02/6.28 (step @p958 :rule trans :premises (@p957 @p956)) % 6.02/6.28 (step @p959 :rule cong :premises (@p958) :args ((forall @t15 (=> @t419 @t925)))) % 6.02/6.28 (step @p960 :rule trans :premises (@p959 @p951)) % 6.02/6.28 (step @p961 :rule bool-impl-elim :args (@t355 @t357)) % 6.02/6.28 (step @p962 :rule cong :premises (@p961) :args (@t418)) % 6.02/6.28 (step @p963 :rule refl :args (@t419)) % 6.02/6.28 (step @p964 :rule cong :premises (@p963 @p962) :args (@t420)) % 6.02/6.28 (step @p965 :rule cong :premises (@p964) :args (@t421)) % 6.02/6.28 (step @p966 :rule trans :premises (@p965 @p960)) % 6.02/6.28 (step @p967 :rule eq_resolve :premises (@p250 @p966)) % 6.02/6.28 (step @p968 :rule instantiate :premises (@p967) :args (@t913)) % 6.02/6.28 (step @p969 :rule aci_norm :args ((= @t928 @t907))) % 6.02/6.28 (step @p970 :rule cong :premises (@p969) :args (@t929)) % 6.02/6.28 (step @p971 :rule quant-merge-prenex :args ((= (forall @t6 @t931) @t929))) % 6.02/6.28 (step @p972 :rule alpha_equiv :args (@t932 (@list @t899 @t895 @t894 @t893) (@list @t11 @t935 @t934 @t933))) % 6.02/6.28 (step @p973 :rule nary_cong :premises (@p903 @p972) :args (@t936)) % 6.02/6.28 (step @p974 :rule quant-miniscope-or :args ((= @t931 @t936))) % 6.02/6.28 (step @p975 :rule trans :premises (@p974 @p973)) % 6.02/6.28 (step @p976 :rule symm :premises (@p975)) % 6.02/6.28 (step @p977 :rule cong :premises (@p976) :args ((forall @t6 (or @t869 @t947)))) % 6.02/6.28 (step @p978 :rule trans :premises (@p977 @p971)) % 6.02/6.28 (step @p979 :rule trans :premises (@p978 @p970)) % 6.02/6.28 (step @p980 :rule bool-impl-elim :args (@t122 @t947)) % 6.02/6.28 (step @p981 :rule cong :premises (@p980) :args ((forall @t6 (=> @t122 @t947)))) % 6.02/6.28 (step @p982 :rule trans :premises (@p981 @p979)) % 6.02/6.28 (step @p983 :rule aci_norm :args ((= @t949 @t945))) % 6.02/6.28 (step @p984 :rule cong :premises (@p983) :args (@t950)) % 6.02/6.28 (step @p985 :rule quant-merge-prenex :args ((= (forall @t20 @t952) @t950))) % 6.02/6.28 (step @p986 :rule alpha_equiv :args (@t953 (@list @t935 @t934 @t933) (@list @t45 @t955 @t954))) % 6.02/6.28 (step @p987 :rule nary_cong :premises (@p918 @p986) :args (@t956)) % 6.02/6.28 (step @p988 :rule quant-miniscope-or :args ((= @t952 @t956))) % 6.02/6.28 (step @p989 :rule trans :premises (@p988 @p987)) % 6.02/6.28 (step @p990 :rule symm :premises (@p989)) % 6.02/6.28 (step @p991 :rule cong :premises (@p990) :args ((forall @t20 (or @t880 @t965)))) % 6.02/6.28 (step @p992 :rule trans :premises (@p991 @p985)) % 6.02/6.28 (step @p993 :rule trans :premises (@p992 @p984)) % 6.02/6.28 (step @p994 :rule bool-impl-elim :args (@t177 @t965)) % 6.02/6.28 (step @p995 :rule cong :premises (@p994) :args ((forall @t20 (=> @t177 @t965)))) % 6.02/6.28 (step @p996 :rule trans :premises (@p995 @p993)) % 6.02/6.28 (step @p997 :rule aci_norm :args ((= @t967 @t963))) % 6.02/6.28 (step @p998 :rule cong :premises (@p997) :args (@t968)) % 6.02/6.28 (step @p999 :rule quant-merge-prenex :args ((= (forall @t108 @t970) @t968))) % 6.02/6.28 (step @p1000 :rule alpha_equiv :args (@t971 (@list @t955 @t954) (@list @t141 @t972))) % 6.02/6.28 (step @p1001 :rule refl :args (@t924)) % 6.02/6.28 (step @p1002 :rule nary_cong :premises (@p1001 @p1000) :args (@t973)) % 6.02/6.28 (step @p1003 :rule quant-miniscope-or :args ((= @t970 @t973))) % 6.02/6.28 (step @p1004 :rule trans :premises (@p1003 @p1002)) % 6.02/6.28 (step @p1005 :rule symm :premises (@p1004)) % 6.02/6.28 (step @p1006 :rule cong :premises (@p1005) :args ((forall @t108 (or @t924 @t981)))) % 6.02/6.28 (step @p1007 :rule trans :premises (@p1006 @p999)) % 6.02/6.28 (step @p1008 :rule trans :premises (@p1007 @p998)) % 6.02/6.28 (step @p1009 :rule bool-impl-elim :args (@t355 @t981)) % 6.02/6.28 (step @p1010 :rule cong :premises (@p1009) :args ((forall @t108 (=> @t355 @t981)))) % 6.02/6.28 (step @p1011 :rule trans :premises (@p1010 @p1008)) % 6.02/6.28 (step @p1012 :rule aci_norm :args ((= @t983 @t979))) % 6.02/6.28 (step @p1013 :rule cong :premises (@p1012) :args (@t984)) % 6.02/6.28 (step @p1014 :rule quant-merge-prenex :args ((= (forall @t156 @t986) @t984))) % 6.02/6.28 (step @p1015 :rule alpha_equiv :args (@t987 (@list @t972) (@list @t163))) % 6.02/6.28 (step @p1016 :rule refl :args (@t978)) % 6.02/6.28 (step @p1017 :rule refl :args (@t825)) % 6.02/6.28 (step @p1018 :rule nary_cong :premises (@p1017 @p1016 @p1015) :args (@t988)) % 6.02/6.28 (step @p1019 :rule quant-miniscope-or :args ((= @t986 @t988))) % 6.02/6.28 (step @p1020 :rule trans :premises (@p1019 @p1018)) % 6.02/6.28 (step @p1021 :rule symm :premises (@p1020)) % 6.02/6.28 (step @p1022 :rule cong :premises (@p1021) :args ((forall @t156 @t993))) % 6.02/6.28 (step @p1023 :rule trans :premises (@p1022 @p1014)) % 6.02/6.28 (step @p1024 :rule trans :premises (@p1023 @p1013)) % 6.02/6.28 (step @p1025 :rule aci_norm :args ((= (or @t825 @t994) @t993))) % 6.02/6.28 (step @p1026 :rule bool-impl-elim :args (@t175 @t994)) % 6.02/6.28 (step @p1027 :rule trans :premises (@p1026 @p1025)) % 6.02/6.28 (step @p1028 :rule cong :premises (@p1027) :args ((forall @t156 (=> @t175 @t994)))) % 6.02/6.28 (step @p1029 :rule trans :premises (@p1028 @p1024)) % 6.02/6.28 (step @p1030 :rule quant-miniscope-or :args ((= (forall @t174 @t995) @t994))) % 6.02/6.28 (step @p1031 :rule aci_norm :args ((= @t996 @t995))) % 6.02/6.28 (step @p1032 :rule cong :premises (@p1031) :args ((forall @t174 @t996))) % 6.02/6.28 (step @p1033 :rule trans :premises (@p1032 @p1030)) % 6.02/6.28 (step @p1034 :rule aci_norm :args ((= (or @t839 @t997) @t996))) % 6.02/6.28 (step @p1035 :rule bool-impl-elim :args (@t173 @t997)) % 6.02/6.28 (step @p1036 :rule trans :premises (@p1035 @p1034)) % 6.02/6.28 (step @p1037 :rule cong :premises (@p1036) :args ((forall @t174 (=> @t173 @t997)))) % 6.02/6.28 (step @p1038 :rule trans :premises (@p1037 @p1033)) % 6.02/6.28 (step @p1039 :rule aci_norm :args ((= (or @t171 @t990 @t998) @t997))) % 6.02/6.28 (step @p1040 :rule aci_norm :args ((= (or @t978 false @t989) @t998))) % 6.02/6.28 (step @p1041 :rule refl :args (@t989)) % 6.02/6.28 (step @p1042 :rule refl :args (@t978)) % 6.02/6.28 (step @p1043 :rule nary_cong :premises (@p1042 @p827 @p1041) :args (@t999)) % 6.02/6.28 (step @p1044 :rule trans :premises (@p1043 @p1040)) % 6.02/6.28 (step @p1045 :rule quant-var-elim-eq :args ((= (forall @t344 (or @t853 @t1001 @t851 @t1000)) @t999))) % 6.02/6.28 (step @p1046 :rule refl :args (@t1000)) % 6.02/6.28 (step @p1047 :rule refl :args (@t1001)) % 6.02/6.28 (step @p1048 :rule nary_cong :premises (@p835 @p1047 @p832 @p1046) :args (@t1002)) % 6.02/6.28 (step @p1049 :rule aci_norm :args ((= @t1003 @t1002))) % 6.02/6.28 (step @p1050 :rule trans :premises (@p1049 @p1048)) % 6.02/6.28 (step @p1051 :rule cong :premises (@p1050) :args (@t1004)) % 6.02/6.28 (step @p1052 :rule trans :premises (@p1051 @p1045)) % 6.02/6.28 (step @p1053 :rule trans :premises (@p1052 @p1044)) % 6.02/6.28 (step @p1054 :rule refl :args (@t990)) % 6.02/6.28 (step @p1055 :rule refl :args (@t171)) % 6.02/6.28 (step @p1056 :rule nary_cong :premises (@p1055 @p1054 @p1053) :args (@t1005)) % 6.02/6.28 (step @p1057 :rule trans :premises (@p1056 @p1039)) % 6.02/6.28 (step @p1058 :rule quant-miniscope-or :args ((= (forall @t344 @t1006) @t1005))) % 6.02/6.28 (step @p1059 :rule aci_norm :args ((= @t1007 @t1006))) % 6.02/6.28 (step @p1060 :rule cong :premises (@p1059) :args ((forall @t344 @t1007))) % 6.02/6.28 (step @p1061 :rule trans :premises (@p1060 @p1058)) % 6.02/6.28 (step @p1062 :rule trans :premises (@p1061 @p1057)) % 6.02/6.28 (step @p1063 :rule aci_norm :args ((= (or @t1001 @t1008) @t1007))) % 6.02/6.28 (step @p1064 :rule bool-impl-elim :args (@t700 @t1008)) % 6.02/6.28 (step @p1065 :rule trans :premises (@p1064 @p1063)) % 6.02/6.28 (step @p1066 :rule cong :premises (@p1065) :args ((forall @t344 (=> @t700 @t1008)))) % 6.02/6.28 (step @p1067 :rule trans :premises (@p1066 @p1062)) % 6.02/6.28 (step @p1068 :rule aci_norm :args ((= (or @t851 @t171 @t1009) @t1008))) % 6.02/6.28 (step @p1069 :rule aci_norm :args ((= (or @t990 false @t1000) @t1009))) % 6.02/6.28 (step @p1070 :rule refl :args (@t1000)) % 6.02/6.28 (step @p1071 :rule eq-refl :args (@t163)) % 6.02/6.28 (step @p1072 :rule cong :premises (@p1071) :args (@t1010)) % 6.02/6.28 (step @p1073 :rule trans :premises (@p1072 @p789)) % 6.02/6.28 (step @p1074 :rule nary_cong :premises (@p1054 @p1073 @p1070) :args (@t1011)) % 6.02/6.28 (step @p1075 :rule trans :premises (@p1074 @p1069)) % 6.02/6.28 (step @p1076 :rule quant-var-elim-eq :args ((= (forall @t542 (or (not @t609) @t1014 @t1013 @t1012)) @t1011))) % 6.02/6.28 (step @p1077 :rule refl :args (@t1012)) % 6.02/6.28 (step @p1078 :rule refl :args (@t1013)) % 6.02/6.28 (step @p1079 :rule refl :args (@t1014)) % 6.02/6.28 (step @p1080 :rule eq-symm :args (@t163 @t540)) % 6.02/6.28 (step @p1081 :rule cong :premises (@p1080) :args (@t1013)) % 6.02/6.28 (step @p1082 :rule nary_cong :premises (@p1081 @p1079 @p1078 @p1077) :args (@t1015)) % 6.02/6.28 (step @p1083 :rule aci_norm :args ((= @t1016 @t1015))) % 6.02/6.28 (step @p1084 :rule trans :premises (@p1083 @p1082)) % 6.02/6.28 (step @p1085 :rule cong :premises (@p1084) :args (@t1017)) % 6.02/6.28 (step @p1086 :rule trans :premises (@p1085 @p1076)) % 6.02/6.28 (step @p1087 :rule trans :premises (@p1086 @p1075)) % 6.02/6.28 (step @p1088 :rule refl :args (@t851)) % 6.02/6.28 (step @p1089 :rule nary_cong :premises (@p1088 @p1055 @p1087) :args (@t1018)) % 6.02/6.28 (step @p1090 :rule trans :premises (@p1089 @p1068)) % 6.02/6.28 (step @p1091 :rule quant-miniscope-or :args ((= (forall @t542 @t1019) @t1018))) % 6.02/6.28 (step @p1092 :rule aci_norm :args ((= @t1020 @t1019))) % 6.02/6.28 (step @p1093 :rule cong :premises (@p1092) :args ((forall @t542 @t1020))) % 6.02/6.28 (step @p1094 :rule trans :premises (@p1093 @p1091)) % 6.02/6.28 (step @p1095 :rule trans :premises (@p1094 @p1090)) % 6.02/6.28 (step @p1096 :rule aci_norm :args ((= (or @t1014 @t1021) @t1020))) % 6.02/6.28 (step @p1097 :rule aci_norm :args ((= (or @t1022 @t171) @t1021))) % 6.02/6.28 (step @p1098 :rule refl :args (@t171)) % 6.02/6.28 (step @p1099 :rule aci_norm :args ((= (or @t851 (or @t1013 @t1012)) @t1022))) % 6.02/6.28 (step @p1100 :rule bool-and-de-morgan :args (@t646 @t695 true)) % 6.02/6.28 (step @p1101 :rule nary_cong :premises (@p832 @p1100) :args ((or @t851 (not (and @t646 @t695))))) % 6.02/6.28 (step @p1102 :rule bool-and-de-morgan :args (@t599 @t646 (and @t695))) % 6.02/6.28 (step @p1103 :rule trans :premises (@p1102 @p1101)) % 6.02/6.28 (step @p1104 :rule trans :premises (@p1103 @p1099)) % 6.02/6.28 (step @p1105 :rule nary_cong :premises (@p1104 @p1098) :args ((or (not @t696) @t171))) % 6.02/6.28 (step @p1106 :rule trans :premises (@p1105 @p1097)) % 6.02/6.28 (step @p1107 :rule bool-impl-elim :args (@t696 @t171)) % 6.02/6.28 (step @p1108 :rule trans :premises (@p1107 @p1106)) % 6.02/6.28 (step @p1109 :rule nary_cong :premises (@p1079 @p1108) :args ((or @t1014 @t697))) % 6.02/6.28 (step @p1110 :rule trans :premises (@p1109 @p1096)) % 6.02/6.28 (step @p1111 :rule bool-impl-elim :args (@t698 @t697)) % 6.02/6.28 (step @p1112 :rule trans :premises (@p1111 @p1110)) % 6.02/6.28 (step @p1113 :rule cong :premises (@p1112) :args (@t699)) % 6.02/6.28 (step @p1114 :rule trans :premises (@p1113 @p1095)) % 6.02/6.28 (step @p1115 :rule refl :args (@t700)) % 6.02/6.28 (step @p1116 :rule cong :premises (@p1115 @p1114) :args (@t701)) % 6.02/6.28 (step @p1117 :rule cong :premises (@p1116) :args (@t702)) % 6.02/6.28 (step @p1118 :rule trans :premises (@p1117 @p1067)) % 6.02/6.28 (step @p1119 :rule cong :premises (@p878 @p1118) :args (@t703)) % 6.02/6.28 (step @p1120 :rule cong :premises (@p1119) :args (@t704)) % 6.02/6.28 (step @p1121 :rule trans :premises (@p1120 @p1038)) % 6.02/6.28 (step @p1122 :rule refl :args (@t175)) % 6.02/6.28 (step @p1123 :rule cong :premises (@p1122 @p1121) :args (@t705)) % 6.02/6.28 (step @p1124 :rule cong :premises (@p1123) :args (@t706)) % 6.02/6.28 (step @p1125 :rule trans :premises (@p1124 @p1029)) % 6.02/6.28 (step @p1126 :rule refl :args (@t355)) % 6.02/6.28 (step @p1127 :rule cong :premises (@p1126 @p1125) :args (@t707)) % 6.02/6.28 (step @p1128 :rule cong :premises (@p1127) :args (@t708)) % 6.02/6.28 (step @p1129 :rule trans :premises (@p1128 @p1011)) % 6.02/6.28 (step @p1130 :rule cong :premises (@p931 @p1129) :args (@t709)) % 6.02/6.28 (step @p1131 :rule cong :premises (@p1130) :args (@t710)) % 6.02/6.28 (step @p1132 :rule trans :premises (@p1131 @p996)) % 6.02/6.28 (step @p1133 :rule cong :premises (@p935 @p1132) :args (@t711)) % 6.02/6.28 (step @p1134 :rule cong :premises (@p1133) :args (@t712)) % 6.02/6.28 (step @p1135 :rule trans :premises (@p1134 @p982)) % 6.02/6.28 (step @p1136 :rule cong :premises (@p1135) :args (@t713)) % 6.02/6.28 (step @p1137 :rule eq_resolve :premises (@p573 @p1136)) % 6.02/6.28 (step @p1138 :rule skolemize :premises (@p1137)) % 6.02/6.28 (step @p1139 :rule bool-double-not-elim :args (@t1023)) % 6.02/6.28 (step @p1140 :rule refl :args (@t1044)) % 6.02/6.28 (step @p1141 :rule nary_cong :premises (@p1140 @p1139) :args ((or @t1044 (not @t1039)))) % 6.02/6.28 (step @p1142 :rule cnf_or_neg :args (@t1044 2)) % 6.02/6.28 (step @p1143 :rule eq_resolve :premises (@p1142 @p1141)) % 6.02/6.28 (step @p1144 :rule reordering :premises (@p1143) :args ((or @t1023 @t1044))) % 6.02/6.28 (step @p1145 :rule chain_m_resolution :premises (@p1144 @p1138) :args (@t1023 @t1045 @t1046)) % 6.02/6.28 (step @p1146 :rule bool-double-not-elim :args (@t1040)) % 6.02/6.28 (step @p1147 :rule nary_cong :premises (@p1140 @p1146) :args ((or @t1044 (not @t1041)))) % 6.02/6.28 (step @p1148 :rule cnf_or_neg :args (@t1044 1)) % 6.02/6.28 (step @p1149 :rule eq_resolve :premises (@p1148 @p1147)) % 6.02/6.28 (step @p1150 :rule reordering :premises (@p1149) :args ((or @t1040 @t1044))) % 6.02/6.28 (step @p1151 :rule chain_m_resolution :premises (@p1150 @p1138) :args (@t1040 @t1045 @t1046)) % 6.02/6.28 (step @p1152 :rule bool-double-not-elim :args (@t1042)) % 6.02/6.28 (step @p1153 :rule nary_cong :premises (@p1140 @p1152) :args ((or @t1044 (not @t1043)))) % 6.02/6.28 (step @p1154 :rule cnf_or_neg :args (@t1044 0)) % 6.02/6.28 (step @p1155 :rule eq_resolve :premises (@p1154 @p1153)) % 6.02/6.28 (step @p1156 :rule reordering :premises (@p1155) :args ((or @t1042 @t1044))) % 6.02/6.28 (step @p1157 :rule chain_m_resolution :premises (@p1156 @p1138) :args (@t1042 @t1045 @t1046)) % 6.02/6.28 (step @p1158 :rule cnf_or_pos :args (@t1048)) % 6.02/6.28 (step @p1159 :rule reordering :premises (@p1158) :args ((or @t1043 @t1041 @t1039 @t1047 (not @t1048)))) % 6.02/6.28 (step @p1160 :rule chain_m_resolution :premises (@p1159 @p1157 @p1151 @p1145 @p968) :args (@t1047 @t1049 (@list @t1042 @t1040 @t1023 @t1048))) % 6.02/6.28 (step @p1161 :rule cnf_or_pos :args (@t1054)) % 6.02/6.28 (step @p1162 :rule reordering :premises (@p1161) :args ((or @t1043 @t1041 @t1053 @t1052 (not @t1054)))) % 6.02/6.28 (step @p1163 :rule chain_m_resolution :premises (@p1162 @p1157 @p1151 @p1160 @p940) :args (@t1052 @t1049 (@list @t1042 @t1040 @t1047 @t1054))) % 6.02/6.28 (step @p1164 :rule cnf_equiv_pos1 :args (@t1052)) % 6.02/6.28 (step @p1165 :rule reordering :premises (@p1164) :args ((or @t1039 @t1051 (not @t1052)))) % 6.02/6.28 (step @p1166 :rule chain_m_resolution :premises (@p1165 @p1145 @p1163) :args (@t1051 (@list false false) (@list @t1023 @t1052))) % 6.02/6.28 (step @p1167 :rule cnf_and_pos :args (@t1051 0)) % 6.02/6.28 (step @p1168 :rule reordering :premises (@p1167) :args ((or @t1050 (not @t1051)))) % 6.02/6.28 (step @p1169 :rule chain_m_resolution :premises (@p1168 @p1166) :args (@t1050 (@list false) (@list @t1051))) % 6.02/6.28 (step @p1170 :rule aci_norm :args ((= @t1059 (or @t869 @t1057 @t1056)))) % 6.02/6.28 (step @p1171 :rule cong :premises (@p1170) :args (@t1060)) % 6.02/6.28 (step @p1172 :rule quant-merge-prenex :args ((= (forall @t6 @t1062) @t1060))) % 6.02/6.28 (step @p1173 :rule alpha_equiv :args (@t1063 (@list @t1055) (@list @t11))) % 6.02/6.28 (step @p1174 :rule nary_cong :premises (@p903 @p1173) :args (@t1064)) % 6.02/6.28 (step @p1175 :rule quant-miniscope-or :args ((= @t1062 @t1064))) % 6.02/6.28 (step @p1176 :rule trans :premises (@p1175 @p1174)) % 6.02/6.28 (step @p1177 :rule symm :premises (@p1176)) % 6.02/6.28 (step @p1178 :rule cong :premises (@p1177) :args ((forall @t6 (or @t869 @t1065)))) % 6.02/6.28 (step @p1179 :rule trans :premises (@p1178 @p1172)) % 6.02/6.28 (step @p1180 :rule trans :premises (@p1179 @p1171)) % 6.02/6.28 (step @p1181 :rule bool-impl-elim :args (@t122 @t1065)) % 6.02/6.28 (step @p1182 :rule cong :premises (@p1181) :args ((forall @t6 (=> @t122 @t1065)))) % 6.02/6.28 (step @p1183 :rule trans :premises (@p1182 @p1180)) % 6.02/6.28 (step @p1184 :rule bool-impl-elim :args (@t177 @t208)) % 6.02/6.28 (step @p1185 :rule cong :premises (@p1184) :args (@t414)) % 6.02/6.28 (step @p1186 :rule cong :premises (@p935 @p1185) :args (@t415)) % 6.02/6.28 (step @p1187 :rule cong :premises (@p1186) :args (@t416)) % 6.02/6.28 (step @p1188 :rule trans :premises (@p1187 @p1183)) % 6.02/6.28 (step @p1189 :rule eq_resolve :premises (@p245 @p1188)) % 6.02/6.28 (step @p1190 :rule instantiate :premises (@p1189) :args ((@list @t912 @t911))) % 6.02/6.28 (step @p1191 :rule cnf_or_pos :args (@t1067)) % 6.02/6.28 (step @p1192 :rule reordering :premises (@p1191) :args ((or @t1043 @t1041 @t1066 (not @t1067)))) % 6.02/6.28 (step @p1193 :rule chain_m_resolution :premises (@p1192 @p1157 @p1151 @p1190) :args (@t1066 (@list false false false) (@list @t1042 @t1040 @t1067))) % 6.02/6.28 (step @p1194 :rule bool-double-not-elim :args (@t1026)) % 6.02/6.28 (step @p1195 :rule nary_cong :premises (@p1140 @p1194) :args ((or @t1044 (not @t1027)))) % 6.02/6.28 (step @p1196 :rule cnf_or_neg :args (@t1044 8)) % 6.02/6.28 (step @p1197 :rule eq_resolve :premises (@p1196 @p1195)) % 6.02/6.28 (step @p1198 :rule reordering :premises (@p1197) :args ((or @t1026 @t1044))) % 6.02/6.28 (step @p1199 :rule chain_m_resolution :premises (@p1198 @p1138) :args (@t1026 @t1045 @t1046)) % 6.02/6.28 (step @p1200 :rule bool-double-not-elim :args (@t1029)) % 6.02/6.28 (step @p1201 :rule nary_cong :premises (@p1140 @p1200) :args ((or @t1044 (not @t1030)))) % 6.02/6.28 (step @p1202 :rule cnf_or_neg :args (@t1044 7)) % 6.02/6.28 (step @p1203 :rule eq_resolve :premises (@p1202 @p1201)) % 6.02/6.28 (step @p1204 :rule reordering :premises (@p1203) :args ((or @t1029 @t1044))) % 6.02/6.28 (step @p1205 :rule chain_m_resolution :premises (@p1204 @p1138) :args (@t1029 @t1045 @t1046)) % 6.02/6.28 (step @p1206 :rule cnf_or_neg :args (@t1044 6)) % 6.02/6.28 (step @p1207 :rule chain_m_resolution :premises (@p1206 @p1138) :args ((not @t1031) @t1045 @t1046)) % 6.02/6.28 (step @p1208 :rule bool-double-not-elim :args (@t1033)) % 6.02/6.28 (step @p1209 :rule nary_cong :premises (@p1140 @p1208) :args ((or @t1044 (not @t1034)))) % 6.02/6.28 (step @p1210 :rule cnf_or_neg :args (@t1044 5)) % 6.02/6.28 (step @p1211 :rule eq_resolve :premises (@p1210 @p1209)) % 6.02/6.28 (step @p1212 :rule reordering :premises (@p1211) :args ((or @t1033 @t1044))) % 6.02/6.28 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p1138) :args (@t1033 @t1045 @t1046)) % 6.02/6.28 (step @p1214 :rule bool-double-not-elim :args (@t1035)) % 6.02/6.28 (step @p1215 :rule nary_cong :premises (@p1140 @p1214) :args ((or @t1044 (not @t1036)))) % 6.02/6.28 (step @p1216 :rule cnf_or_neg :args (@t1044 4)) % 6.02/6.28 (step @p1217 :rule eq_resolve :premises (@p1216 @p1215)) % 6.02/6.28 (step @p1218 :rule reordering :premises (@p1217) :args ((or @t1035 @t1044))) % 6.02/6.28 (step @p1219 :rule chain_m_resolution :premises (@p1218 @p1138) :args (@t1035 @t1045 @t1046)) % 0.54/6.31 (step @p1220 :rule bool-double-not-elim :args (@t1037)) % 0.54/6.31 (step @p1221 :rule nary_cong :premises (@p1140 @p1220) :args ((or @t1044 (not @t1038)))) % 0.54/6.31 (step @p1222 :rule cnf_or_neg :args (@t1044 3)) % 0.54/6.31 (step @p1223 :rule eq_resolve :premises (@p1222 @p1221)) % 0.54/6.31 (step @p1224 :rule reordering :premises (@p1223) :args ((or @t1037 @t1044))) % 0.54/6.31 (step @p1225 :rule chain_m_resolution :premises (@p1224 @p1138) :args (@t1037 @t1045 @t1046)) % 0.54/6.31 (step @p1226 :rule cnf_or_pos :args (@t1070)) % 0.54/6.31 (step @p1227 :rule reordering :premises (@p1226) :args ((or @t1038 @t1036 @t1034 @t1031 @t1030 @t1027 @t1069 @t1068 @t1071))) % 0.54/6.31 (step @p1228 :rule chain_m_resolution :premises (@p1227 @p1225 @p1219 @p1213 @p1207 @p1205 @p1199 @p1193 @p1169) :args (@t1071 (@list false false false true false false false false) (@list @t1037 @t1035 @t1033 @t1031 @t1029 @t1026 @t1066 @t1050))) % 0.54/6.31 (assume-push @p1235 @t1072) % 0.54/6.31 (step @p1230 :rule instantiate :premises (@p898) :args ((@list @t911 @t910 @t1025 @t1024))) % 0.54/6.31 (step-pop @p1236 :rule scope :premises (@p1230)) % 0.54/6.31 (step @p1231 :rule process_scope :premises (@p1236) :args (@t1070)) % 0.54/6.31 (step @p1233 :rule implies_elim :premises (@p1231)) % 0.54/6.31 (step @p1234 false :rule chain_m_resolution :premises (@p1233 @p1228 @p898) :args (false (@list true false) (@list @t1070 @t1072))) % 0.54/6.31 ) % 0.54/6.31 % SZS output end Proof % 0.54/6.31 % cvc5 exiting %------------------------------------------------------------------------------