%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU364+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 : n015.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 08:51:31 AM UTC 2026 % Result : Theorem 0.95s 1.14s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU364+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:02:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.14 % SZS status Theorem % 0.95/1.14 % SZS output start Proof % 0.95/1.14 ( % 0.95/1.14 (declare-sort $$unsorted 0) % 0.95/1.14 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.a_2_3_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.k1_pcomps_1 (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.k10_filter_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.k8_filter_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.lattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.function (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.centered (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.full_subrelstr (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.empty_set $$unsorted) % 0.95/1.14 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.omega $$unsorted) % 0.95/1.14 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (define @t1 () (@var "A" $$unsorted)) % 0.95/1.14 (define @t2 () (tptp.the_InternalRel @t1)) % 0.95/1.14 (define @t3 () (tptp.the_carrier @t1)) % 0.95/1.14 (define @t4 () (tptp.strict_rel_str @t1)) % 0.95/1.14 (define @t5 () (tptp.rel_str @t1)) % 0.95/1.14 (define @t6 () (@list @t1)) % 0.95/1.14 (define @t7 () (tptp.the_L_meet @t1)) % 0.95/1.14 (define @t8 () (tptp.the_L_join @t1)) % 0.95/1.14 (define @t9 () (tptp.strict_latt_str @t1)) % 0.95/1.14 (define @t10 () (tptp.latt_str @t1)) % 0.95/1.14 (define @t11 () (@var "B" $$unsorted)) % 0.95/1.14 (define @t12 () (tptp.in @t11 @t1)) % 0.95/1.14 (define @t13 () (not @t12)) % 0.95/1.14 (define @t14 () (tptp.in @t1 @t11)) % 0.95/1.14 (define @t15 () (@list @t1 @t11)) % 0.95/1.14 (define @t16 () (tptp.proper_subset @t11 @t1)) % 0.95/1.14 (define @t17 () (tptp.proper_subset @t1 @t11)) % 0.95/1.14 (define @t18 () (tptp.v1_xcmplx_0 @t11)) % 0.95/1.14 (define @t19 () (tptp.element @t11 @t1)) % 0.95/1.14 (define @t20 () (@list @t11)) % 0.95/1.14 (define @t21 () (tptp.v1_membered @t1)) % 0.95/1.14 (define @t22 () (tptp.v1_xreal_0 @t11)) % 0.95/1.14 (define @t23 () (tptp.v2_membered @t1)) % 0.95/1.14 (define @t24 () (tptp.v1_rat_1 @t11)) % 0.95/1.14 (define @t25 () (tptp.v3_membered @t1)) % 0.95/1.14 (define @t26 () (tptp.v1_int_1 @t11)) % 0.95/1.14 (define @t27 () (tptp.v4_membered @t1)) % 0.95/1.14 (define @t28 () (tptp.natural @t11)) % 0.95/1.14 (define @t29 () (tptp.v5_membered @t1)) % 0.95/1.14 (define @t30 () (tptp.empty @t1)) % 0.95/1.14 (define @t31 () (tptp.v1_membered @t11)) % 0.95/1.14 (define @t32 () (tptp.powerset @t1)) % 0.95/1.14 (define @t33 () (tptp.element @t11 @t32)) % 0.95/1.14 (define @t34 () (tptp.v2_membered @t11)) % 0.95/1.14 (define @t35 () (tptp.v3_membered @t11)) % 0.95/1.14 (define @t36 () (tptp.v4_membered @t11)) % 0.95/1.14 (define @t37 () (tptp.ordinal @t11)) % 0.95/1.14 (define @t38 () (tptp.epsilon_connected @t11)) % 0.95/1.14 (define @t39 () (tptp.epsilon_transitive @t11)) % 0.95/1.14 (define @t40 () (tptp.ordinal @t1)) % 0.95/1.14 (define @t41 () (tptp.finite @t1)) % 0.95/1.14 (define @t42 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.95/1.14 (define @t43 () (tptp.preboolean @t1)) % 0.95/1.14 (define @t44 () (tptp.function @t1)) % 0.95/1.14 (define @t45 () (@var "C" $$unsorted)) % 0.95/1.14 (define @t46 () (tptp.quasi_total @t45 @t1 @t11)) % 0.95/1.14 (define @t47 () (tptp.function @t45)) % 0.95/1.14 (define @t48 () (and @t47 @t46)) % 0.95/1.14 (define @t49 () (tptp.v1_partfun1 @t45 @t1 @t11)) % 0.95/1.14 (define @t50 () (tptp.relation_of2 @t45 @t1 @t11)) % 0.95/1.14 (define @t51 () (@list @t1 @t11 @t45)) % 0.95/1.14 (define @t52 () (tptp.join_absorbing @t1)) % 0.95/1.14 (define @t53 () (tptp.meet_absorbing @t1)) % 0.95/1.14 (define @t54 () (tptp.meet_associative @t1)) % 0.95/1.14 (define @t55 () (tptp.meet_commutative @t1)) % 0.95/1.14 (define @t56 () (tptp.join_associative @t1)) % 0.95/1.14 (define @t57 () (tptp.join_commutative @t1)) % 0.95/1.14 (define @t58 () (tptp.empty_carrier @t1)) % 0.95/1.14 (define @t59 () (not @t58)) % 0.95/1.14 (define @t60 () (and @t59 @t57 @t56 @t55 @t54 @t53 @t52)) % 0.95/1.14 (define @t61 () (tptp.lattice @t1)) % 0.95/1.14 (define @t62 () (and @t59 @t61)) % 0.95/1.14 (define @t63 () (tptp.epsilon_connected @t1)) % 0.95/1.14 (define @t64 () (tptp.epsilon_transitive @t1)) % 0.95/1.14 (define @t65 () (and @t64 @t63)) % 0.95/1.14 (define @t66 () (tptp.reflexive @t1)) % 0.95/1.14 (define @t67 () (tptp.relation @t1)) % 0.95/1.14 (define @t68 () (tptp.transitive @t1)) % 0.95/1.14 (define @t69 () (tptp.relation @t45)) % 0.95/1.14 (define @t70 () (tptp.cartesian_product2 @t1 @t11)) % 0.95/1.14 (define @t71 () (tptp.element @t45 (tptp.powerset @t70))) % 0.95/1.14 (define @t72 () (tptp.natural @t1)) % 0.95/1.14 (define @t73 () (and @t64 @t63 @t40 @t72)) % 0.95/1.14 (define @t74 () (tptp.finite @t11)) % 0.95/1.14 (define @t75 () (tptp.one_to_one @t1)) % 0.95/1.14 (define @t76 () (and @t67 @t44 @t75)) % 0.95/1.14 (define @t77 () (and @t67 @t30 @t44)) % 0.95/1.14 (define @t78 () (tptp.one_to_one @t45)) % 0.95/1.14 (define @t79 () (and @t47 @t78 @t46 (tptp.onto @t45 @t1 @t11))) % 0.95/1.14 (define @t80 () (and @t47 @t46 (tptp.bijective @t45 @t1 @t11))) % 0.95/1.14 (define @t81 () (and @t64 @t63 @t40)) % 0.95/1.14 (define @t82 () (tptp.bijective @t11 @t1 @t1)) % 0.95/1.14 (define @t83 () (tptp.onto @t11 @t1 @t1)) % 0.95/1.14 (define @t84 () (tptp.quasi_total @t11 @t1 @t1)) % 0.95/1.14 (define @t85 () (tptp.one_to_one @t11)) % 0.95/1.14 (define @t86 () (tptp.function @t11)) % 0.95/1.14 (define @t87 () (tptp.reflexive @t11)) % 0.95/1.14 (define @t88 () (tptp.v1_partfun1 @t11 @t1 @t1)) % 0.95/1.14 (define @t89 () (tptp.relation_of2 @t11 @t1 @t1)) % 0.95/1.14 (define @t90 () (@list @t45)) % 0.95/1.14 (define @t91 () (tptp.empty @t11)) % 0.95/1.14 (define @t92 () (not @t91)) % 0.95/1.14 (define @t93 () (tptp.empty @t45)) % 0.95/1.14 (define @t94 () (not @t30)) % 0.95/1.14 (define @t95 () (and @t94 @t92)) % 0.95/1.14 (define @t96 () (tptp.unordered_pair @t1 @t11)) % 0.95/1.14 (define @t97 () (tptp.set_union2 @t11 @t1)) % 0.95/1.14 (define @t98 () (tptp.set_union2 @t1 @t11)) % 0.95/1.14 (define @t99 () (tptp.join_commut @t1 @t11 @t45)) % 0.95/1.14 (define @t100 () (tptp.element @t45 @t3)) % 0.95/1.14 (define @t101 () (tptp.element @t11 @t3)) % 0.95/1.14 (define @t102 () (tptp.join_semilatt_str @t1)) % 0.95/1.14 (define @t103 () (and @t59 @t57 @t102 @t101 @t100)) % 0.95/1.14 (define @t104 () (tptp.set_intersection2 @t11 @t1)) % 0.95/1.14 (define @t105 () (tptp.set_intersection2 @t1 @t11)) % 0.95/1.14 (define @t106 () (tptp.meet_commut @t1 @t11 @t45)) % 0.95/1.14 (define @t107 () (tptp.meet_semilatt_str @t1)) % 0.95/1.14 (define @t108 () (and @t59 @t55 @t107 @t101 @t100)) % 0.95/1.14 (define @t109 () (tptp.subset_union2 @t1 @t11 @t45)) % 0.95/1.14 (define @t110 () (tptp.element @t45 @t32)) % 0.95/1.14 (define @t111 () (and @t33 @t110)) % 0.95/1.14 (define @t112 () (tptp.subset_intersection2 @t1 @t11 @t45)) % 0.95/1.14 (define @t113 () (tptp.ordinal_subset @t1 @t11)) % 0.95/1.14 (define @t114 () (and @t40 @t37)) % 0.95/1.14 (define @t115 () (@var "D" $$unsorted)) % 0.95/1.14 (define @t116 () (= @t45 @t115)) % 0.95/1.14 (define @t117 () (tptp.in @t45 @t1)) % 0.95/1.14 (define @t118 () (tptp.ordered_pair @t45 @t115)) % 0.95/1.14 (define @t119 () (tptp.in @t118 @t11)) % 0.95/1.14 (define @t120 () (@list @t45 @t115)) % 0.95/1.14 (define @t121 () (tptp.identity_relation @t1)) % 0.95/1.14 (define @t122 () (= @t11 @t121)) % 0.95/1.14 (define @t123 () (tptp.relation @t11)) % 0.95/1.14 (define @t124 () (tptp.subset @t11 @t1)) % 0.95/1.14 (define @t125 () (tptp.subset @t1 @t11)) % 0.95/1.14 (define @t126 () (= @t1 @t11)) % 0.95/1.14 (define @t127 () (tptp.related @t1 @t115 @t45)) % 0.95/1.14 (define @t128 () (tptp.relstr_element_smaller @t1 @t11 @t115)) % 0.95/1.14 (define @t129 () (tptp.element @t115 @t3)) % 0.95/1.14 (define @t130 () (@list @t115)) % 0.95/1.14 (define @t131 () (forall @t130 (=> @t129 (=> @t128 @t127)))) % 0.95/1.14 (define @t132 () (tptp.relstr_element_smaller @t1 @t11 @t45)) % 0.95/1.14 (define @t133 () (tptp.meet_on_relstr @t1 @t11)) % 0.95/1.14 (define @t134 () (tptp.ex_inf_of_relstr_set @t1 @t11)) % 0.95/1.14 (define @t135 () (@list @t11 @t45)) % 0.95/1.14 (define @t136 () (tptp.identity_on_carrier @t1)) % 0.95/1.14 (define @t137 () (tptp.one_sorted_str @t1)) % 0.95/1.14 (define @t138 () (@var "E" $$unsorted)) % 0.95/1.14 (define @t139 () (tptp.ordered_pair @t115 @t138)) % 0.95/1.14 (define @t140 () (tptp.in @t139 @t1)) % 0.95/1.14 (define @t141 () (tptp.in @t115 @t11)) % 0.95/1.14 (define @t142 () (tptp.in @t139 @t45)) % 0.95/1.14 (define @t143 () (@list @t115 @t138)) % 0.95/1.14 (define @t144 () (tptp.relation_dom_restriction @t1 @t11)) % 0.95/1.14 (define @t145 () (tptp.bottom_of_relstr @t1)) % 0.95/1.14 (define @t146 () (tptp.in @t138 @t11)) % 0.95/1.14 (define @t147 () (tptp.relation_dom @t1)) % 0.95/1.14 (define @t148 () (@list @t138)) % 0.95/1.14 (define @t149 () (tptp.in @t115 @t45)) % 0.95/1.14 (define @t150 () (tptp.relation_image @t1 @t11)) % 0.95/1.14 (define @t151 () (= @t45 @t150)) % 0.95/1.14 (define @t152 () (and @t67 @t44)) % 0.95/1.14 (define @t153 () (tptp.in @t138 @t1)) % 0.95/1.14 (define @t154 () (tptp.relation_rng_restriction @t1 @t11)) % 0.95/1.14 (define @t155 () (tptp.relation_field @t1)) % 0.95/1.14 (define @t156 () (tptp.antisymmetric @t1)) % 0.95/1.14 (define @t157 () (tptp.apply @t1 @t115)) % 0.95/1.14 (define @t158 () (tptp.in @t115 @t147)) % 0.95/1.14 (define @t159 () (= @t45 (tptp.relation_inverse_image @t1 @t11))) % 0.95/1.14 (define @t160 () (tptp.meet @t1 @t11 @t45)) % 0.95/1.14 (define @t161 () (forall @t90 (=> @t100 (and (= @t160 @t11) (= (tptp.meet @t1 @t45 @t11) @t11))))) % 0.95/1.14 (define @t162 () (tptp.lower_bounded_semilattstr @t1)) % 0.95/1.14 (define @t163 () (and @t59 @t107)) % 0.95/1.14 (define @t164 () (tptp.powerset @t3)) % 0.95/1.14 (define @t165 () (tptp.element @t138 @t164)) % 0.95/1.14 (define @t166 () (tptp.topstr_closure @t1 @t11)) % 0.95/1.14 (define @t167 () (tptp.element @t45 @t164)) % 0.95/1.14 (define @t168 () (tptp.element @t11 @t164)) % 0.95/1.14 (define @t169 () (tptp.top_str @t1)) % 0.95/1.14 (define @t170 () (tptp.ordered_pair @t138 @t115)) % 0.95/1.14 (define @t171 () (tptp.the_InternalRel @t11)) % 0.95/1.14 (define @t172 () (tptp.the_carrier @t11)) % 0.95/1.14 (define @t173 () (tptp.subrelstr @t11 @t1)) % 0.95/1.14 (define @t174 () (tptp.rel_str @t11)) % 0.95/1.14 (define @t175 () (tptp.connected @t1)) % 0.95/1.14 (define @t176 () (tptp.full_subrelstr @t11 @t1)) % 0.95/1.14 (define @t177 () (tptp.latt_set_smaller @t1 @t11 @t45)) % 0.95/1.14 (define @t178 () (and @t59 @t10)) % 0.95/1.14 (define @t179 () (tptp.bottom_of_semilattstr @t1)) % 0.95/1.14 (define @t180 () (tptp.ordered_pair @t11 @t45)) % 0.95/1.14 (define @t181 () (tptp.interior @t1 @t45)) % 0.95/1.14 (define @t182 () (tptp.point_neighbourhood @t45 @t1 @t11)) % 0.95/1.14 (define @t183 () (tptp.topological_space @t1)) % 0.95/1.14 (define @t184 () (and @t59 @t183 @t169)) % 0.95/1.14 (define @t185 () (= @t138 @t45)) % 0.95/1.14 (define @t186 () (tptp.in @t138 @t115)) % 0.95/1.14 (define @t187 () (@list @t1 @t11 @t45 @t115)) % 0.95/1.14 (define @t188 () (tptp.relation_dom @t11)) % 0.95/1.14 (define @t189 () (tptp.relation_rng @t11)) % 0.95/1.14 (define @t190 () (tptp.in (tptp.ordered_pair @t11 @t115) @t1)) % 0.95/1.14 (define @t191 () (tptp.in @t180 @t1)) % 0.95/1.14 (define @t192 () (@list @t11 @t45 @t115)) % 0.95/1.14 (define @t193 () (= @t45 tptp.empty_set)) % 0.95/1.14 (define @t194 () (= @t1 tptp.empty_set)) % 0.95/1.14 (define @t195 () (= @t11 tptp.empty_set)) % 0.95/1.14 (define @t196 () (tptp.relation_dom_as_subset @t1 @t11 @t45)) % 0.95/1.14 (define @t197 () (tptp.relation_of2_as_subset @t45 @t1 @t11)) % 0.95/1.14 (define @t198 () (tptp.element @t115 @t32)) % 0.95/1.14 (define @t199 () (tptp.boole_lattice @t1)) % 0.95/1.14 (define @t200 () (tptp.latt_str @t11)) % 0.95/1.14 (define @t201 () (tptp.join @t1 @t11 @t45)) % 0.95/1.14 (define @t202 () (and @t59 @t102)) % 0.95/1.14 (define @t203 () (= @t11 @t45)) % 0.95/1.14 (define @t204 () (= @t1 @t118)) % 0.95/1.14 (define @t205 () (exists @t135 (= @t1 @t180))) % 0.95/1.14 (define @t206 () (tptp.singleton @t1)) % 0.95/1.14 (define @t207 () (tptp.succ @t1)) % 0.95/1.14 (define @t208 () (tptp.the_topology @t1)) % 0.95/1.14 (define @t209 () (tptp.in @t11 @t208)) % 0.95/1.14 (define @t210 () (tptp.union_of_subsets @t3 @t11)) % 0.95/1.14 (define @t211 () (tptp.powerset @t164)) % 0.95/1.14 (define @t212 () (tptp.element @t11 @t211)) % 0.95/1.14 (define @t213 () (tptp.in @t45 @t11)) % 0.95/1.14 (define @t214 () (tptp.is_reflexive_in @t1 @t11)) % 0.95/1.14 (define @t215 () (= @t11 (tptp.set_meet @t1))) % 0.95/1.14 (define @t216 () (tptp.in @t45 @t115)) % 0.95/1.14 (define @t217 () (tptp.in @t115 @t1)) % 0.95/1.14 (define @t218 () (not @t194)) % 0.95/1.14 (define @t219 () (tptp.empty @t3)) % 0.95/1.14 (define @t220 () (tptp.subset_complement @t3 @t11)) % 0.95/1.14 (define @t221 () (tptp.interior @t1 @t11)) % 0.95/1.14 (define @t222 () (tptp.open_subset @t45 @t1)) % 0.95/1.14 (define @t223 () (tptp.open_subsets @t11 @t1)) % 0.95/1.14 (define @t224 () (= @t115 @t11)) % 0.95/1.14 (define @t225 () (tptp.subset @t45 @t115)) % 0.95/1.14 (define @t226 () (tptp.relation_field @t11)) % 0.95/1.14 (define @t227 () (tptp.inclusion_relation @t1)) % 0.95/1.14 (define @t228 () (tptp.join_of_latt_set @t1 @t11)) % 0.95/1.14 (define @t229 () (and @t59 @t61 (tptp.complete_latt_str @t1) @t10)) % 0.95/1.14 (define @t230 () (tptp.meet_of_latt_set @t1 @t11)) % 0.95/1.14 (define @t231 () (tptp.set_meet @t11)) % 0.95/1.14 (define @t232 () (not @t195)) % 0.95/1.14 (define @t233 () (tptp.k2_lattice3 @t1)) % 0.95/1.14 (define @t234 () (tptp.poset_of_lattice @t1)) % 0.95/1.14 (define @t235 () (and @t59 @t61 @t10)) % 0.95/1.14 (define @t236 () (= @t11 @t115)) % 0.95/1.14 (define @t237 () (tptp.empty_carrier_subset @t1)) % 0.95/1.14 (define @t238 () (tptp.in @t118 @t1)) % 0.95/1.14 (define @t239 () (tptp.union @t1)) % 0.95/1.14 (define @t240 () (= @t11 @t239)) % 0.95/1.14 (define @t241 () (forall @t90 (=> @t167 (=> @t213 (tptp.closed_subset @t45 @t1))))) % 0.95/1.14 (define @t242 () (tptp.closed_subsets @t11 @t1)) % 0.95/1.14 (define @t243 () (tptp.well_founded_relation @t1)) % 0.95/1.14 (define @t244 () (@var "F" $$unsorted)) % 0.95/1.14 (define @t245 () (tptp.ordered_pair @t138 @t244)) % 0.95/1.14 (define @t246 () (tptp.in @t244 @t11)) % 0.95/1.14 (define @t247 () (@list @t138 @t244)) % 0.95/1.14 (define @t248 () (tptp.finite @t45)) % 0.95/1.14 (define @t249 () (tptp.subset @t45 @t11)) % 0.95/1.14 (define @t250 () (tptp.element @t45 @t211)) % 0.95/1.14 (define @t251 () (tptp.is_a_cover_of_carrier @t1 @t11)) % 0.95/1.14 (define @t252 () (tptp.compact_top_space @t1)) % 0.95/1.14 (define @t253 () (tptp.cast_to_el_of_LattPOSet @t1 @t11)) % 0.95/1.14 (define @t254 () (tptp.below @t1 @t11 @t45)) % 0.95/1.14 (define @t255 () (not @t213)) % 0.95/1.14 (define @t256 () (not @t203)) % 0.95/1.14 (define @t257 () (tptp.in @t11 @t45)) % 0.95/1.14 (define @t258 () (tptp.cast_as_carrier_subset @t1)) % 0.95/1.14 (define @t259 () (forall @t90 (=> @t117 @t213))) % 0.95/1.14 (define @t260 () (not @t193)) % 0.95/1.14 (define @t261 () (tptp.is_well_founded_in @t1 @t11)) % 0.95/1.14 (define @t262 () (tptp.apply @t1 @t11)) % 0.95/1.14 (define @t263 () (= @t45 @t262)) % 0.95/1.14 (define @t264 () (tptp.in @t11 @t147)) % 0.95/1.14 (define @t265 () (tptp.cast_to_el_of_lattice @t1 @t11)) % 0.95/1.14 (define @t266 () (tptp.the_carrier @t234)) % 0.95/1.14 (define @t267 () (tptp.element @t11 @t266)) % 0.95/1.14 (define @t268 () (tptp.in (tptp.ordered_pair @t115 @t45) @t1)) % 0.95/1.14 (define @t269 () (tptp.is_antisymmetric_in @t1 @t11)) % 0.95/1.14 (define @t270 () (tptp.cast_to_subset @t1)) % 0.95/1.14 (define @t271 () (tptp.well_ordering @t1)) % 0.95/1.14 (define @t272 () (tptp.relation_rng @t45)) % 0.95/1.14 (define @t273 () (tptp.relation_dom @t45)) % 0.95/1.14 (define @t274 () (= @t273 @t1)) % 0.95/1.14 (define @t275 () (tptp.equipotent @t1 @t11)) % 0.95/1.14 (define @t276 () (tptp.set_difference @t1 @t11)) % 0.95/1.14 (define @t277 () (tptp.lower_bounded_relstr @t1)) % 0.95/1.14 (define @t278 () (and @t158 (= @t45 @t157))) % 0.95/1.14 (define @t279 () (tptp.relation_rng @t1)) % 0.95/1.14 (define @t280 () (= @t11 @t279)) % 0.95/1.14 (define @t281 () (tptp.transitive_relstr @t1)) % 0.95/1.14 (define @t282 () (tptp.being_limit_ordinal @t1)) % 0.95/1.14 (define @t283 () (tptp.open_subset @t11 @t1)) % 0.95/1.14 (define @t284 () (tptp.subset_complement @t1 @t11)) % 0.95/1.14 (define @t285 () (tptp.ordered_pair @t1 @t11)) % 0.95/1.14 (define @t286 () (tptp.is_connected_in @t1 @t11)) % 0.95/1.14 (define @t287 () (tptp.is_transitive_in @t1 @t11)) % 0.95/1.14 (define @t288 () (tptp.antisymmetric_relstr @t1)) % 0.95/1.14 (define @t289 () (tptp.subset_difference @t3 @t258 @t11)) % 0.95/1.14 (define @t290 () (tptp.closed_subset @t11 @t1)) % 0.95/1.14 (define @t291 () (tptp.cartesian_product2 @t11 @t11)) % 0.95/1.14 (define @t292 () (tptp.relation_restriction @t1 @t11)) % 0.95/1.14 (define @t293 () (tptp.relation_inverse @t1)) % 0.95/1.14 (define @t294 () (tptp.apply @t45 @t138)) % 0.95/1.14 (define @t295 () (tptp.apply @t45 @t115)) % 0.95/1.14 (define @t296 () (tptp.relation_isomorphism @t1 @t11 @t45)) % 0.95/1.14 (define @t297 () (and @t69 @t47)) % 0.95/1.14 (define @t298 () (tptp.disjoint @t1 @t11)) % 0.95/1.14 (define @t299 () (= @t115 @t45)) % 0.95/1.14 (define @t300 () (tptp.element @t138 @t3)) % 0.95/1.14 (define @t301 () (tptp.relstr_set_smaller @t1 @t11 @t115)) % 0.95/1.14 (define @t302 () (tptp.related @t1 @t45 @t115)) % 0.95/1.14 (define @t303 () (forall @t130 (=> @t129 (=> @t301 @t302)))) % 0.95/1.14 (define @t304 () (tptp.relstr_set_smaller @t1 @t11 @t45)) % 0.95/1.14 (define @t305 () (tptp.ex_sup_of_relstr_set @t1 @t11)) % 0.95/1.14 (define @t306 () (tptp.relation_of_lattice @t1)) % 0.95/1.14 (define @t307 () (@list @t244)) % 0.95/1.14 (define @t308 () (tptp.relation_composition @t1 @t11)) % 0.95/1.14 (define @t309 () (@list @t45 @t115 @t138)) % 0.95/1.14 (define @t310 () (tptp.complements_of_subsets @t1 @t11)) % 0.95/1.14 (define @t311 () (tptp.powerset @t32)) % 0.95/1.14 (define @t312 () (tptp.element @t11 @t311)) % 0.95/1.14 (define @t313 () (not @t126)) % 0.95/1.14 (define @t314 () (tptp.function_inverse @t1)) % 0.95/1.14 (define @t315 () (tptp.related @t1 @t11 @t45)) % 0.95/1.14 (define @t316 () (tptp.join_on_relstr @t1 @t11)) % 0.95/1.14 (define @t317 () (tptp.rel_str_of @t1 @t11)) % 0.95/1.14 (define @t318 () (tptp.strict_rel_str @t317)) % 0.95/1.14 (define @t319 () (tptp.latt_str_of @t1 @t11 @t45)) % 0.95/1.14 (define @t320 () (tptp.strict_latt_str @t319)) % 0.95/1.14 (define @t321 () (tptp.cartesian_product2 @t1 @t1)) % 0.95/1.14 (define @t322 () (tptp.relation_of2 @t45 @t321 @t1)) % 0.95/1.14 (define @t323 () (tptp.quasi_total @t45 @t321 @t1)) % 0.95/1.14 (define @t324 () (tptp.relation_of2 @t11 @t321 @t1)) % 0.95/1.14 (define @t325 () (tptp.quasi_total @t11 @t321 @t1)) % 0.95/1.14 (define @t326 () (and @t86 @t325 @t324 @t47 @t323 @t322)) % 0.95/1.14 (define @t327 () (tptp.k8_filter_1 @t1 @t11)) % 0.95/1.14 (define @t328 () (tptp.k10_filter_1 @t1 @t11 @t45 @t115)) % 0.95/1.14 (define @t329 () (tptp.element @t115 @t172)) % 0.95/1.14 (define @t330 () (tptp.lattice @t11)) % 0.95/1.14 (define @t331 () (not (tptp.empty_carrier @t11))) % 0.95/1.14 (define @t332 () (and @t59 @t61 @t10 @t331 @t330 @t200 @t100 @t329)) % 0.95/1.14 (define @t333 () (tptp.ordered_pair_as_product_element @t1 @t11 @t45 @t115)) % 0.95/1.14 (define @t334 () (tptp.element @t45 @t1)) % 0.95/1.14 (define @t335 () (and @t94 @t92 @t334 (tptp.element @t115 @t11))) % 0.95/1.14 (define @t336 () (tptp.strict_latt_str @t199)) % 0.95/1.14 (define @t337 () (tptp.k1_pcomps_1 @t1)) % 0.95/1.14 (define @t338 () (tptp.relation_restriction_as_relation_of @t1 @t11)) % 0.95/1.14 (define @t339 () (and @t169 @t168)) % 0.95/1.14 (define @t340 () (tptp.apply_binary_as_element @t1 @t11 @t45 @t115 @t138 @t244)) % 0.95/1.14 (define @t341 () (tptp.function @t115)) % 0.95/1.14 (define @t342 () (and @t94 @t92 @t341 (tptp.quasi_total @t115 @t70 @t45) (tptp.relation_of2 @t115 @t70 @t45) (tptp.element @t138 @t1) (tptp.element @t244 @t11))) % 0.95/1.14 (define @t343 () (@list @t1 @t11 @t45 @t115 @t138 @t244)) % 0.95/1.14 (define @t344 () (tptp.antisymmetric_relstr @t234)) % 0.95/1.14 (define @t345 () (tptp.transitive_relstr @t234)) % 0.95/1.14 (define @t346 () (tptp.reflexive_relstr @t234)) % 0.95/1.14 (define @t347 () (tptp.strict_rel_str @t234)) % 0.95/1.14 (define @t348 () (tptp.relation @t293)) % 0.95/1.14 (define @t349 () (tptp.relation @t308)) % 0.95/1.14 (define @t350 () (and @t67 @t123)) % 0.95/1.14 (define @t351 () (tptp.powerset @t11)) % 0.95/1.14 (define @t352 () (tptp.relation_rng_as_subset @t1 @t11 @t45)) % 0.95/1.14 (define @t353 () (tptp.union_of_subsets @t1 @t11)) % 0.95/1.14 (define @t354 () (tptp.identity_as_relation_of @t1)) % 0.95/1.14 (define @t355 () (tptp.relation @t121)) % 0.95/1.14 (define @t356 () (tptp.meet_of_subsets @t1 @t11)) % 0.95/1.14 (define @t357 () (tptp.subset_difference @t1 @t11 @t45)) % 0.95/1.14 (define @t358 () (tptp.relation @t144)) % 0.95/1.14 (define @t359 () (tptp.apply_as_element @t1 @t11 @t45 @t115)) % 0.95/1.14 (define @t360 () (and @t94 @t47 @t46 @t50 (tptp.element @t115 @t1))) % 0.95/1.14 (define @t361 () (tptp.relation @t154)) % 0.95/1.14 (define @t362 () (and @t59 @t183 @t169 @t101)) % 0.95/1.14 (define @t363 () (tptp.cartesian_product2 @t3 @t3)) % 0.95/1.14 (define @t364 () (tptp.quasi_total @t7 @t363 @t3)) % 0.95/1.14 (define @t365 () (tptp.function @t7)) % 0.95/1.14 (define @t366 () (tptp.quasi_total @t8 @t363 @t3)) % 0.95/1.14 (define @t367 () (tptp.function @t8)) % 0.95/1.14 (define @t368 () (tptp.finite @t105)) % 0.95/1.14 (define @t369 () (tptp.relation_composition @t11 @t1)) % 0.95/1.14 (define @t370 () (and @t30 @t123)) % 0.95/1.14 (define @t371 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.95/1.14 (define @t372 () (tptp.relation tptp.empty_set)) % 0.95/1.14 (define @t373 () (tptp.empty tptp.empty_set)) % 0.95/1.14 (define @t374 () (tptp.relation_empty_yielding @t1)) % 0.95/1.14 (define @t375 () (and @t67 @t374)) % 0.95/1.14 (define @t376 () (and @t41 @t74)) % 0.95/1.14 (define @t377 () (not (tptp.empty @t206))) % 0.95/1.14 (define @t378 () (not (tptp.empty @t32))) % 0.95/1.14 (define @t379 () (not (tptp.empty_carrier @t199))) % 0.95/1.14 (define @t380 () (not (tptp.empty @t207))) % 0.95/1.14 (define @t381 () (and @t59 @t137)) % 0.95/1.14 (define @t382 () (tptp.v1_membered @t105)) % 0.95/1.14 (define @t383 () (tptp.v1_membered @t104)) % 0.95/1.14 (define @t384 () (tptp.v2_membered @t105)) % 0.95/1.14 (define @t385 () (tptp.ordinal @t207)) % 0.95/1.14 (define @t386 () (tptp.epsilon_connected @t207)) % 0.95/1.14 (define @t387 () (tptp.epsilon_transitive @t207)) % 0.95/1.14 (define @t388 () (tptp.function @t121)) % 0.95/1.14 (define @t389 () (tptp.v1_partfun1 @t8 @t363 @t3)) % 0.95/1.14 (define @t390 () (tptp.relation @t8)) % 0.95/1.14 (define @t391 () (and @t59 @t57 @t102)) % 0.95/1.14 (define @t392 () (tptp.reflexive_relstr @t1)) % 0.95/1.14 (define @t393 () (and @t183 @t169 @t168)) % 0.95/1.14 (define @t394 () (tptp.v2_membered @t104)) % 0.95/1.14 (define @t395 () (tptp.v3_membered @t105)) % 0.95/1.14 (define @t396 () (tptp.v3_membered @t104)) % 0.95/1.14 (define @t397 () (tptp.v4_membered @t105)) % 0.95/1.14 (define @t398 () (tptp.v4_membered @t104)) % 0.95/1.14 (define @t399 () (tptp.v1_membered @t276)) % 0.95/1.14 (define @t400 () (tptp.v2_membered @t276)) % 0.95/1.14 (define @t401 () (tptp.v3_membered @t276)) % 0.95/1.14 (define @t402 () (tptp.transitive @t11)) % 0.95/1.14 (define @t403 () (tptp.antisymmetric @t11)) % 0.95/1.14 (define @t404 () (tptp.open_subset @t220 @t1)) % 0.95/1.14 (define @t405 () (tptp.v4_membered @t276)) % 0.95/1.14 (define @t406 () (tptp.v1_partfun1 @t7 @t363 @t3)) % 0.95/1.14 (define @t407 () (tptp.relation @t7)) % 0.95/1.14 (define @t408 () (tptp.closed_subset @t220 @t1)) % 0.95/1.14 (define @t409 () (and @t123 @t86)) % 0.95/1.14 (define @t410 () (and @t183 @t169)) % 0.95/1.14 (define @t411 () (tptp.empty @t147)) % 0.95/1.14 (define @t412 () (and @t94 @t67)) % 0.95/1.14 (define @t413 () (tptp.empty @t279)) % 0.95/1.14 (define @t414 () (tptp.open_subset @t221 @t1)) % 0.95/1.14 (define @t415 () (tptp.element @t45 @t172)) % 0.95/1.14 (define @t416 () (and @t331 @t330 @t200)) % 0.95/1.14 (define @t417 () (= @t1 @t115)) % 0.95/1.14 (define @t418 () (exists @t130 (and @t329 @t417 (tptp.latt_set_smaller @t11 @t115 @t45)))) % 0.95/1.14 (define @t419 () (= @t1 @t45)) % 0.95/1.14 (define @t420 () (and @t419 @t236)) % 0.95/1.14 (define @t421 () (= @t45 @t244)) % 0.95/1.14 (define @t422 () (@list @t115 @t138 @t244)) % 0.95/1.14 (define @t423 () (tptp.in @t11 @t155)) % 0.95/1.14 (define @t424 () (tptp.disjoint @t206 @t11)) % 0.95/1.14 (define @t425 () (not @t14)) % 0.95/1.14 (define @t426 () (tptp.well_ordering @t11)) % 0.95/1.14 (define @t427 () (tptp.in (tptp.ordered_pair @t45 @t11) @t1)) % 0.95/1.14 (define @t428 () (tptp.singleton @t45)) % 0.95/1.14 (define @t429 () (not @t191)) % 0.95/1.14 (define @t430 () (tptp.singleton @t11)) % 0.95/1.14 (define @t431 () (tptp.union @t11)) % 0.95/1.14 (define @t432 () (tptp.in @t1 @t45)) % 0.95/1.14 (define @t433 () (tptp.element @t1 @t351)) % 0.95/1.14 (define @t434 () (tptp.relation_dom_restriction @t45 @t1)) % 0.95/1.14 (define @t435 () (tptp.in @t11 (tptp.relation_dom @t434))) % 0.95/1.14 (define @t436 () (tptp.proper_element @t11 @t32)) % 0.95/1.14 (define @t437 () (tptp.set_union2 @t11 @t45)) % 0.95/1.14 (define @t438 () (tptp.set_intersection2 @t11 @t45)) % 0.95/1.14 (define @t439 () (tptp.set_difference @t11 @t45)) % 0.95/1.14 (define @t440 () (tptp.below_refl @t1 @t11 @t45)) % 0.95/1.14 (define @t441 () (and @t59 @t55 @t53 @t52 @t10 @t101 @t100)) % 0.95/1.14 (define @t442 () (and @t59 @t392 @t5 @t101 @t100)) % 0.95/1.14 (define @t443 () (@var "K" $$unsorted)) % 0.95/1.14 (define @t444 () (@var "J" $$unsorted)) % 0.95/1.14 (define @t445 () (tptp.in @t443 @t444)) % 0.95/1.14 (define @t446 () (@list @t443)) % 0.95/1.14 (define @t447 () (@list @t444)) % 0.95/1.14 (define @t448 () (= @t115 @t138)) % 0.95/1.14 (define @t449 () (@var "I" $$unsorted)) % 0.95/1.14 (define @t450 () (@var "H" $$unsorted)) % 0.95/1.14 (define @t451 () (tptp.in @t449 @t450)) % 0.95/1.14 (define @t452 () (@list @t449)) % 0.95/1.14 (define @t453 () (@list @t450)) % 0.95/1.14 (define @t454 () (exists @t453 (and (= @t45 @t450) (tptp.in @t138 @t450) (forall @t452 (=> @t451 (tptp.in (tptp.ordered_pair @t138 @t449) @t11)))))) % 0.95/1.14 (define @t455 () (@var "G" $$unsorted)) % 0.95/1.14 (define @t456 () (tptp.in @t455 @t244)) % 0.95/1.14 (define @t457 () (@list @t455)) % 0.95/1.14 (define @t458 () (exists @t307 (and @t421 (tptp.in @t115 @t244) (forall @t457 (=> @t456 (tptp.in (tptp.ordered_pair @t115 @t455) @t11)))))) % 0.95/1.14 (define @t459 () (forall @t309 (=> (and @t117 @t458 @t117 @t454) @t448))) % 0.95/1.14 (define @t460 () (and @t94 @t123)) % 0.95/1.14 (define @t461 () (= @t115 @t430)) % 0.95/1.14 (define @t462 () (= @t45 @t430)) % 0.95/1.14 (define @t463 () (forall @t192 (=> (and @t12 @t462 @t12 @t461) @t116))) % 0.95/1.14 (define @t464 () (tptp.subset_complement @t3 @t450)) % 0.95/1.14 (define @t465 () (= @t450 @t115)) % 0.95/1.14 (define @t466 () (tptp.element @t450 @t164)) % 0.95/1.14 (define @t467 () (forall @t453 (=> @t466 (=> @t465 (= @t138 @t464))))) % 0.95/1.14 (define @t468 () (tptp.complements_of_subsets @t3 @t11)) % 0.95/1.14 (define @t469 () (tptp.in @t115 @t468)) % 0.95/1.14 (define @t470 () (tptp.element @t455 @t164)) % 0.95/1.14 (define @t471 () (forall @t457 (=> @t470 (=> (= @t455 @t45) (= @t138 (tptp.subset_complement @t3 @t455)))))) % 0.95/1.14 (define @t472 () (tptp.in @t45 @t468)) % 0.95/1.14 (define @t473 () (tptp.element @t244 @t164)) % 0.95/1.14 (define @t474 () (forall @t307 (=> @t473 (=> (= @t244 @t45) (= @t115 (tptp.subset_complement @t3 @t244)))))) % 0.95/1.14 (define @t475 () (forall @t309 (=> (and @t472 @t474 @t472 @t471) @t448))) % 0.95/1.14 (define @t476 () (and @t137 @t212)) % 0.95/1.14 (define @t477 () (forall @t309 (=> (and @t213 @t474 @t213 @t471) @t448))) % 0.95/1.14 (define @t478 () (tptp.ordinal @t45)) % 0.95/1.14 (define @t479 () (@var "S" $$unsorted)) % 0.95/1.14 (define @t480 () (@var "T" $$unsorted)) % 0.95/1.14 (define @t481 () (@var "R" $$unsorted)) % 0.95/1.14 (define @t482 () (tptp.powerset (tptp.powerset @t115))) % 0.95/1.14 (define @t483 () (@list @t481)) % 0.95/1.14 (define @t484 () (tptp.in @t115 tptp.omega)) % 0.95/1.14 (define @t485 () (tptp.ordinal @t115)) % 0.95/1.14 (define @t486 () (@var "P" $$unsorted)) % 0.95/1.14 (define @t487 () (@var "Q" $$unsorted)) % 0.95/1.14 (define @t488 () (@var "O" $$unsorted)) % 0.95/1.14 (define @t489 () (@list @t487)) % 0.95/1.14 (define @t490 () (@list @t486)) % 0.95/1.14 (define @t491 () (@list @t488)) % 0.95/1.14 (define @t492 () (@var "M" $$unsorted)) % 0.95/1.14 (define @t493 () (@var "N" $$unsorted)) % 0.95/1.14 (define @t494 () (@var "L" $$unsorted)) % 0.95/1.14 (define @t495 () (@list @t493)) % 0.95/1.14 (define @t496 () (tptp.in @t492 @t494)) % 0.95/1.14 (define @t497 () (@list @t492)) % 0.95/1.14 (define @t498 () (@list @t494)) % 0.95/1.14 (define @t499 () (tptp.succ @t115)) % 0.95/1.14 (define @t500 () (=> @t484 (forall @t148 (=> (tptp.element @t138 @t482) (not (and (not (= @t138 tptp.empty_set)) (forall @t307 (not (and (tptp.in @t244 @t138) (forall @t457 (=> (and (tptp.in @t455 @t138) (tptp.subset @t244 @t455)) (= @t455 @t244)))))))))))) % 0.95/1.14 (define @t501 () (tptp.subset @t11 @t45)) % 0.95/1.14 (define @t502 () (tptp.powerset tptp.empty_set)) % 0.95/1.14 (define @t503 () (tptp.apply @t45 @t244)) % 0.95/1.14 (define @t504 () (tptp.in @t244 @t1)) % 0.95/1.14 (define @t505 () (tptp.relation @t115)) % 0.95/1.14 (define @t506 () (and @t123 @t69 @t47)) % 0.95/1.14 (define @t507 () (forall @t446 (=> @t445 (tptp.in (tptp.ordered_pair @t115 @t443) @t11)))) % 0.95/1.14 (define @t508 () (tptp.in @t115 @t444)) % 0.95/1.14 (define @t509 () (= @t244 @t138)) % 0.95/1.14 (define @t510 () (tptp.cartesian_product2 @t1 @t45)) % 0.95/1.14 (define @t511 () (= @t138 @t244)) % 0.95/1.14 (define @t512 () (tptp.ordered_pair @t443 @t494)) % 0.95/1.14 (define @t513 () (@list @t443 @t494)) % 0.95/1.14 (define @t514 () (= @t115 @t244)) % 0.95/1.14 (define @t515 () (tptp.in @t444 @t449)) % 0.95/1.14 (define @t516 () (tptp.in @t455 @t1)) % 0.95/1.14 (define @t517 () (tptp.ordered_pair @t455 @t450)) % 0.95/1.14 (define @t518 () (= @t517 @t138)) % 0.95/1.14 (define @t519 () (@list @t455 @t450)) % 0.95/1.14 (define @t520 () (tptp.relstr_set_smaller @t1 @t443 @t494)) % 0.95/1.14 (define @t521 () (tptp.in @t494 @t11)) % 0.95/1.14 (define @t522 () (tptp.element @t494 @t3)) % 0.95/1.14 (define @t523 () (and @t522 @t521 @t520)) % 0.95/1.14 (define @t524 () (exists @t498 @t523)) % 0.95/1.14 (define @t525 () (= @t443 @t138)) % 0.95/1.14 (define @t526 () (and @t525 @t524)) % 0.95/1.14 (define @t527 () (exists @t446 @t526)) % 0.95/1.14 (define @t528 () (tptp.powerset @t45)) % 0.95/1.14 (define @t529 () (tptp.in @t244 @t528)) % 0.95/1.14 (define @t530 () (and @t529 @t509 @t527)) % 0.95/1.14 (define @t531 () (exists @t307 @t530)) % 0.95/1.14 (define @t532 () (= @t186 @t531)) % 0.95/1.14 (define @t533 () (forall @t148 @t532)) % 0.95/1.14 (define @t534 () (exists @t130 @t533)) % 0.95/1.14 (define @t535 () (tptp.relstr_set_smaller @t1 @t449 @t444)) % 0.95/1.14 (define @t536 () (tptp.in @t444 @t11)) % 0.95/1.14 (define @t537 () (tptp.element @t444 @t3)) % 0.95/1.14 (define @t538 () (and @t537 @t536 @t535)) % 0.95/1.14 (define @t539 () (exists @t447 @t538)) % 0.95/1.14 (define @t540 () (= @t449 @t244)) % 0.95/1.14 (define @t541 () (and @t540 @t539)) % 0.95/1.14 (define @t542 () (exists @t452 @t541)) % 0.95/1.14 (define @t543 () (tptp.relstr_set_smaller @t1 @t455 @t450)) % 0.95/1.14 (define @t544 () (tptp.in @t450 @t11)) % 0.95/1.14 (define @t545 () (tptp.element @t450 @t3)) % 0.95/1.14 (define @t546 () (and @t545 @t544 @t543)) % 0.95/1.14 (define @t547 () (exists @t453 @t546)) % 0.95/1.14 (define @t548 () (= @t455 @t138)) % 0.95/1.14 (define @t549 () (and @t548 @t547)) % 0.95/1.14 (define @t550 () (exists @t457 @t549)) % 0.95/1.14 (define @t551 () (and @t448 @t550 @t514 @t542)) % 0.95/1.14 (define @t552 () (=> @t551 @t511)) % 0.95/1.14 (define @t553 () (forall @t422 @t552)) % 0.95/1.14 (define @t554 () (=> @t553 @t534)) % 0.95/1.14 (define @t555 () (tptp.element @t45 @t351)) % 0.95/1.14 (define @t556 () (and @t59 @t281 @t5 @t168 @t248 @t555)) % 0.95/1.14 (define @t557 () (=> @t556 @t554)) % 0.95/1.14 (define @t558 () (forall @t51 @t557)) % 0.95/1.14 (define @t559 () (tptp.ordered_pair @t444 @t443)) % 0.95/1.14 (define @t560 () (@list @t444 @t443)) % 0.95/1.14 (define @t561 () (= @t138 @t115)) % 0.95/1.14 (define @t562 () (tptp.in @t450 @t1)) % 0.95/1.14 (define @t563 () (= @t45 @t138)) % 0.95/1.14 (define @t564 () (tptp.ordered_pair @t244 @t455)) % 0.95/1.14 (define @t565 () (@list @t244 @t455)) % 0.95/1.14 (define @t566 () (not (and (not (= @t244 tptp.empty_set)) (forall @t457 (not (and @t456 (forall @t453 (=> (and (tptp.in @t450 @t244) (tptp.subset @t455 @t450)) (= @t450 @t455))))))))) % 0.95/1.14 (define @t567 () (tptp.ordinal @t138)) % 0.95/1.14 (define @t568 () (tptp.subset @t11 @t115)) % 0.95/1.14 (define @t569 () (tptp.in @t138 @t164)) % 0.95/1.14 (define @t570 () (= @t244 @t115)) % 0.95/1.14 (define @t571 () (tptp.in (tptp.set_difference @t258 @t115) @t11)) % 0.95/1.14 (define @t572 () (and @t183 @t169 @t212)) % 0.95/1.14 (define @t573 () (tptp.in @t455 @t11)) % 0.95/1.14 (define @t574 () (and @t40 (tptp.element @t11 (tptp.powerset (tptp.powerset @t207))))) % 0.95/1.14 (define @t575 () (= @t115 @t464)) % 0.95/1.14 (define @t576 () (forall @t453 (=> @t466 (=> (= @t450 @t138) @t575)))) % 0.95/1.14 (define @t577 () (tptp.in @t138 @t468)) % 0.95/1.14 (define @t578 () (forall @t491 (=> (tptp.element @t488 @t164) (=> (= @t488 @t492) (= @t493 (tptp.subset_complement @t3 @t488)))))) % 0.95/1.14 (define @t579 () (= (tptp.ordered_pair @t492 @t493) @t138)) % 0.95/1.14 (define @t580 () (@list @t492 @t493)) % 0.95/1.14 (define @t581 () (tptp.cartesian_product2 @t468 @t45)) % 0.95/1.14 (define @t582 () (forall @t498 (=> (tptp.element @t494 @t164) (=> (= @t494 @t444) (= @t443 (tptp.subset_complement @t3 @t494)))))) % 0.95/1.14 (define @t583 () (= @t559 @t244)) % 0.95/1.14 (define @t584 () (tptp.subset_complement @t3 @t449)) % 0.95/1.14 (define @t585 () (tptp.element @t449 @t164)) % 0.95/1.14 (define @t586 () (forall @t452 (=> @t585 (=> (= @t449 @t455) (= @t450 @t584))))) % 0.95/1.14 (define @t587 () (tptp.cartesian_product2 @t11 @t45)) % 0.95/1.14 (define @t588 () (tptp.apply @t45 @t455)) % 0.95/1.14 (define @t589 () (tptp.in (tptp.relation_image @t45 @t138) @t11)) % 0.95/1.14 (define @t590 () (tptp.powerset @t273)) % 0.95/1.14 (define @t591 () (and @t312 @t69 @t47)) % 0.95/1.14 (define @t592 () (tptp.succ @t11)) % 0.95/1.14 (define @t593 () (= @t138 @t455)) % 0.95/1.14 (define @t594 () (= @t564 @t138)) % 0.95/1.14 (define @t595 () (tptp.relstr_set_smaller @t1 @t244 @t455)) % 0.95/1.14 (define @t596 () (tptp.element @t455 @t3)) % 0.95/1.14 (define @t597 () (and @t596 @t573 @t595)) % 0.95/1.14 (define @t598 () (exists @t457 @t597)) % 0.95/1.14 (define @t599 () (and @t509 @t598)) % 0.95/1.14 (define @t600 () (exists @t307 @t599)) % 0.95/1.14 (define @t601 () (tptp.in @t138 @t528)) % 0.95/1.14 (define @t602 () (and @t601 @t600)) % 0.95/1.14 (define @t603 () (= @t186 @t602)) % 0.95/1.14 (define @t604 () (forall @t148 @t603)) % 0.95/1.14 (define @t605 () (exists @t130 @t604)) % 0.95/1.14 (define @t606 () (=> @t556 @t605)) % 0.95/1.14 (define @t607 () (forall @t51 @t606)) % 0.95/1.14 (define @t608 () (not @t607)) % 0.95/1.14 (define @t609 () (exists @t148 (and @t165 @t561 (tptp.closed_subset @t138 @t1) @t568))) % 0.95/1.14 (define @t610 () (tptp.in @t115 @t164)) % 0.95/1.14 (define @t611 () (forall @t453 (=> @t466 (=> (= @t450 @t244) (= @t455 @t464))))) % 0.95/1.14 (define @t612 () (tptp.apply @t11 @t45)) % 0.95/1.14 (define @t613 () (= @t188 @t1)) % 0.95/1.14 (define @t614 () (exists @t20 (and @t123 @t86 @t613 (forall @t90 (=> @t117 (= @t612 @t428)))))) % 0.95/1.14 (define @t615 () (forall @t452 (=> @t585 (=> (= @t449 @t115) (= @t295 @t584))))) % 0.95/1.14 (define @t616 () (forall @t130 (not (forall @t453 (=> @t466 (=> (= @t450 @t45) @t575)))))) % 0.95/1.14 (define @t617 () (tptp.in @t1 tptp.omega)) % 0.95/1.14 (define @t618 () (tptp.element @t115 @t164)) % 0.95/1.14 (define @t619 () (= @t310 tptp.empty_set)) % 0.95/1.14 (define @t620 () (not (and @t232 @t619))) % 0.95/1.14 (define @t621 () (tptp.relation_rng @t154)) % 0.95/1.14 (define @t622 () (tptp.meet_of_subsets @t1 @t310)) % 0.95/1.14 (define @t623 () (tptp.union_of_subsets @t1 @t310)) % 0.95/1.14 (define @t624 () (forall @t90 (not (and @t249 (not (tptp.are_equipotent @t45 @t11)) @t255)))) % 0.95/1.14 (define @t625 () (forall @t120 (=> (and @t213 (tptp.subset @t115 @t45)) @t141))) % 0.95/1.14 (define @t626 () (tptp.meet_of_subsets @t3 @t11)) % 0.95/1.14 (define @t627 () (tptp.relation_dom_restriction @t45 @t11)) % 0.95/1.14 (define @t628 () (tptp.relation_image @t11 @t1)) % 0.95/1.14 (define @t629 () (tptp.relation_inverse_image @t11 @t1)) % 0.95/1.14 (define @t630 () (tptp.relation_image @t11 @t629)) % 0.95/1.14 (define @t631 () (tptp.set_intersection2 @t188 @t1)) % 0.95/1.14 (define @t632 () (tptp.subset @t1 @t189)) % 0.95/1.14 (define @t633 () (tptp.relation_of2_as_subset @t115 @t45 @t11)) % 0.95/1.14 (define @t634 () (tptp.relation_rng @t115)) % 0.95/1.14 (define @t635 () (tptp.relation_of2_as_subset @t115 @t45 @t1)) % 0.95/1.14 (define @t636 () (and @t288 @t5)) % 0.95/1.14 (define @t637 () (tptp.relation_rng @t308)) % 0.95/1.14 (define @t638 () (tptp.relation_inverse_image @t45 @t11)) % 0.95/1.14 (define @t639 () (tptp.relation_restriction @t45 @t11)) % 0.95/1.14 (define @t640 () (tptp.relation_restriction @t11 @t1)) % 0.95/1.14 (define @t641 () (tptp.relation_dom_restriction @t11 @t1)) % 0.95/1.14 (define @t642 () (tptp.relation_field @t45)) % 0.95/1.14 (define @t643 () (tptp.in @t1 @t642)) % 0.95/1.14 (define @t644 () (tptp.subset @t1 @t45)) % 0.95/1.14 (define @t645 () (tptp.the_carrier @t199)) % 0.95/1.14 (define @t646 () (tptp.element @t45 @t645)) % 0.95/1.14 (define @t647 () (tptp.element @t11 @t645)) % 0.95/1.14 (define @t648 () (tptp.element @t1 @t11)) % 0.95/1.14 (define @t649 () (tptp.in @t1 @t273)) % 0.95/1.14 (define @t650 () (tptp.in @t285 @t45)) % 0.95/1.14 (define @t651 () (tptp.relation_field @t640)) % 0.95/1.14 (define @t652 () (tptp.apply @t45 @t1)) % 0.95/1.14 (define @t653 () (tptp.relation_composition @t45 @t11)) % 0.95/1.14 (define @t654 () (tptp.in @t1 (tptp.relation_dom @t653))) % 0.95/1.14 (define @t655 () (tptp.apply @t115 @t45)) % 0.95/1.14 (define @t656 () (and @t341 (tptp.quasi_total @t115 @t1 @t11) (tptp.relation_of2_as_subset @t115 @t1 @t11))) % 0.95/1.14 (define @t657 () (tptp.connected @t11)) % 0.95/1.14 (define @t658 () (tptp.well_ordering @t640)) % 0.95/1.14 (define @t659 () (= @t651 @t1)) % 0.95/1.14 (define @t660 () (tptp.well_orders @t11 @t1)) % 0.95/1.14 (define @t661 () (tptp.related @t1 @t11 @t115)) % 0.95/1.14 (define @t662 () (tptp.cast_to_el_of_LattPOSet @t11 @t45)) % 0.95/1.14 (define @t663 () (tptp.poset_of_lattice @t11)) % 0.95/1.14 (define @t664 () (tptp.cast_to_el_of_lattice @t11 @t45)) % 0.95/1.14 (define @t665 () (tptp.element @t45 (tptp.the_carrier @t663))) % 0.95/1.14 (define @t666 () (and (= @t11 (tptp.join_on_relstr @t1 @t45)) (tptp.ex_sup_of_relstr_set @t1 @t45))) % 0.95/1.14 (define @t667 () (and (tptp.relstr_set_smaller @t1 @t45 @t11) (forall @t130 (=> @t129 (=> (tptp.relstr_set_smaller @t1 @t45 @t115) @t661))))) % 0.95/1.14 (define @t668 () (tptp.well_founded_relation @t11)) % 0.95/1.14 (define @t669 () (tptp.set_union2 @t1 (tptp.set_difference @t11 @t1))) % 0.95/1.14 (define @t670 () (and @t117 @t213)) % 0.95/1.14 (define @t671 () (not @t298)) % 0.95/1.14 (define @t672 () (= @t1 @t592)) % 0.95/1.14 (define @t673 () (and @t59 @t288 @t277 @t5)) % 0.95/1.14 (define @t674 () (tptp.subset_complement @t1 @t45)) % 0.95/1.14 (define @t675 () (tptp.disjoint @t11 @t45)) % 0.95/1.14 (define @t676 () (tptp.relation_dom @t308)) % 0.95/1.14 (define @t677 () (and (tptp.closed_subset @t115 @t1) @t568)) % 0.95/1.14 (define @t678 () (tptp.element @t11 @t528)) % 0.95/1.14 (define @t679 () (tptp.in @t45 @t105)) % 0.95/1.14 (define @t680 () (= @t166 @t11)) % 0.95/1.14 (define @t681 () (and (tptp.in @t45 @t279) (= @t115 @t612))) % 0.95/1.14 (define @t682 () (tptp.function_inverse @t11)) % 0.95/1.14 (define @t683 () (tptp.related @t11 @t138 @t244)) % 0.95/1.14 (define @t684 () (tptp.element @t244 @t172)) % 0.95/1.14 (define @t685 () (tptp.element @t138 @t172)) % 0.95/1.14 (define @t686 () (= @t279 tptp.empty_set)) % 0.95/1.14 (define @t687 () (= @t147 tptp.empty_set)) % 0.95/1.14 (define @t688 () (= (tptp.apply @t434 @t11) (tptp.apply @t45 @t11))) % 0.95/1.14 (define @t689 () (= @t206 (tptp.unordered_pair @t11 @t45))) % 0.95/1.14 (define @t690 () (@var "BOUND_VARIABLE_17559" $$unsorted)) % 0.95/1.14 (define @t691 () (not (tptp.relstr_set_smaller @t1 @t138 @t690))) % 0.95/1.14 (define @t692 () (not (tptp.in @t690 @t11))) % 0.95/1.14 (define @t693 () (not (tptp.element @t690 @t3))) % 0.95/1.14 (define @t694 () (or @t693 @t692 @t691)) % 0.95/1.14 (define @t695 () (@list @t690)) % 0.95/1.14 (define @t696 () (forall @t695 @t694)) % 0.95/1.14 (define @t697 () (not @t696)) % 0.95/1.14 (define @t698 () (forall @t148 (= @t186 (and @t697 @t601)))) % 0.95/1.14 (define @t699 () (not (forall @t130 (not @t698)))) % 0.95/1.14 (define @t700 () (not @t555)) % 0.95/1.14 (define @t701 () (not @t248)) % 0.95/1.14 (define @t702 () (not @t168)) % 0.95/1.14 (define @t703 () (not @t5)) % 0.95/1.14 (define @t704 () (not @t281)) % 0.95/1.14 (define @t705 () (or @t58 @t704 @t703 @t702 @t701 @t700 @t699)) % 0.95/1.14 (define @t706 () (or @t58 @t704 @t703 @t702 @t701 @t700)) % 0.95/1.14 (define @t707 () (not @t59)) % 0.95/1.14 (define @t708 () (or @t707 @t704 @t703 @t702 @t701 @t700)) % 0.95/1.14 (define @t709 () (not @t556)) % 0.95/1.14 (define @t710 () (not @t601)) % 0.95/1.14 (define @t711 () (= @t186 (not (or @t696 @t710)))) % 0.95/1.14 (define @t712 () (not (= @t138 @t138))) % 0.95/1.14 (define @t713 () (or @t710 @t712)) % 0.95/1.14 (define @t714 () (not @t511)) % 0.95/1.14 (define @t715 () (not @t529)) % 0.95/1.14 (define @t716 () (not @t509)) % 0.95/1.14 (define @t717 () (or @t714 @t715 @t714)) % 0.95/1.14 (define @t718 () (or @t715 @t714)) % 0.95/1.14 (define @t719 () (forall @t307 @t718)) % 0.95/1.14 (define @t720 () (or @t696 @t719)) % 0.95/1.14 (define @t721 () (or @t696 @t718)) % 0.95/1.14 (define @t722 () (or @t715 @t714 @t696)) % 0.95/1.14 (define @t723 () (not @t697)) % 0.95/1.14 (define @t724 () (or @t715 @t714 @t723)) % 0.95/1.14 (define @t725 () (and @t529 @t511 @t697)) % 0.95/1.14 (define @t726 () (forall @t307 (not @t725))) % 0.95/1.14 (define @t727 () (not @t726)) % 0.95/1.14 (define @t728 () (or @t712 @t693 @t692 @t691)) % 0.95/1.14 (define @t729 () (not (tptp.relstr_set_smaller @t1 @t443 @t690))) % 0.95/1.14 (define @t730 () (= @t138 @t443)) % 0.95/1.14 (define @t731 () (not @t730)) % 0.95/1.14 (define @t732 () (or @t731 @t731 @t693 @t692 @t729)) % 0.95/1.14 (define @t733 () (or @t731 @t693 @t692 @t729)) % 0.95/1.14 (define @t734 () (forall @t446 @t733)) % 0.95/1.14 (define @t735 () (forall @t695 @t734)) % 0.95/1.14 (define @t736 () (forall (@list @t690 @t443) @t733)) % 0.95/1.14 (define @t737 () (@list @t443 @t690)) % 0.95/1.14 (define @t738 () (or @t693 @t692 @t729)) % 0.95/1.14 (define @t739 () (or @t731 @t738)) % 0.95/1.14 (define @t740 () (forall @t737 @t739)) % 0.95/1.14 (define @t741 () (forall @t695 @t739)) % 0.95/1.14 (define @t742 () (forall @t695 @t738)) % 0.95/1.14 (define @t743 () (or @t731 @t742)) % 0.95/1.14 (define @t744 () (not @t520)) % 0.95/1.14 (define @t745 () (not @t521)) % 0.95/1.14 (define @t746 () (not @t522)) % 0.95/1.14 (define @t747 () (or @t746 @t745 @t744)) % 0.95/1.14 (define @t748 () (forall @t498 @t747)) % 0.95/1.14 (define @t749 () (not @t748)) % 0.95/1.14 (define @t750 () (and @t730 @t749)) % 0.95/1.14 (define @t751 () (forall @t446 (not @t750))) % 0.95/1.14 (define @t752 () (not @t751)) % 0.95/1.14 (define @t753 () (forall @t498 (not @t523))) % 0.95/1.14 (define @t754 () (not @t753)) % 0.95/1.14 (define @t755 () (@var "BOUND_VARIABLE_17520" $$unsorted)) % 0.95/1.14 (define @t756 () (@var "BOUND_VARIABLE_17511" $$unsorted)) % 0.95/1.14 (define @t757 () (@list @t138 @t244 @t756 @t755)) % 0.95/1.14 (define @t758 () (not (tptp.relstr_set_smaller @t1 @t244 @t755))) % 0.95/1.14 (define @t759 () (not (tptp.in @t755 @t11))) % 0.95/1.14 (define @t760 () (not (tptp.element @t755 @t3))) % 0.95/1.14 (define @t761 () (not (tptp.relstr_set_smaller @t1 @t138 @t756))) % 0.95/1.14 (define @t762 () (not (tptp.in @t756 @t11))) % 0.95/1.14 (define @t763 () (not (tptp.element @t756 @t3))) % 0.95/1.14 (define @t764 () (or @t714 @t511 @t763 @t762 @t761 @t760 @t759 @t758)) % 0.95/1.14 (define @t765 () (or @t712 @t714 @t511 @t763 @t762 @t761 @t760 @t759 @t758)) % 0.95/1.14 (define @t766 () (not @t514)) % 0.95/1.14 (define @t767 () (not @t448)) % 0.95/1.14 (define @t768 () (or @t767 @t767 @t766 @t511 @t763 @t762 @t761 @t760 @t759 @t758)) % 0.95/1.14 (define @t769 () (or @t767 @t766 @t511 @t763 @t762 @t761 @t760 @t759 @t758)) % 0.95/1.14 (define @t770 () (forall @t130 @t769)) % 0.95/1.14 (define @t771 () (forall @t757 @t770)) % 0.95/1.14 (define @t772 () (forall (@list @t138 @t244 @t756 @t755 @t115) @t769)) % 0.95/1.14 (define @t773 () (@list @t115 @t138 @t244 @t756 @t755)) % 0.95/1.14 (define @t774 () (or @t760 @t759 @t758)) % 0.95/1.14 (define @t775 () (or @t763 @t762 @t761)) % 0.95/1.14 (define @t776 () (or @t767 @t775 @t766 @t774 @t511)) % 0.95/1.14 (define @t777 () (forall @t773 @t776)) % 0.95/1.14 (define @t778 () (forall (@list @t756 @t755) @t776)) % 0.95/1.14 (define @t779 () (forall (@list @t755) @t774)) % 0.95/1.14 (define @t780 () (@var "BOUND_VARIABLE_17479" $$unsorted)) % 0.95/1.14 (define @t781 () (@list @t780)) % 0.95/1.14 (define @t782 () (forall (@list @t756) @t775)) % 0.95/1.14 (define @t783 () (@var "BOUND_VARIABLE_17438" $$unsorted)) % 0.95/1.14 (define @t784 () (@list @t783)) % 0.95/1.14 (define @t785 () (or @t767 @t782 @t766 @t779 @t511)) % 0.95/1.14 (define @t786 () (not (tptp.relstr_set_smaller @t1 @t244 @t780))) % 0.95/1.14 (define @t787 () (not (tptp.in @t780 @t11))) % 0.95/1.14 (define @t788 () (not (tptp.element @t780 @t3))) % 0.95/1.14 (define @t789 () (or @t788 @t787 @t786)) % 0.95/1.14 (define @t790 () (@list @t780)) % 0.95/1.14 (define @t791 () (forall @t790 @t789)) % 0.95/1.14 (define @t792 () (not (tptp.relstr_set_smaller @t1 @t138 @t783))) % 0.95/1.14 (define @t793 () (not (tptp.in @t783 @t11))) % 0.95/1.14 (define @t794 () (not (tptp.element @t783 @t3))) % 0.95/1.14 (define @t795 () (or @t794 @t793 @t792)) % 0.95/1.14 (define @t796 () (@list @t783)) % 0.95/1.14 (define @t797 () (forall @t796 @t795)) % 0.95/1.14 (define @t798 () (or @t767 @t797 @t766 @t791 @t511)) % 0.95/1.14 (define @t799 () (not @t791)) % 0.95/1.14 (define @t800 () (not @t799)) % 0.95/1.14 (define @t801 () (not @t797)) % 0.95/1.14 (define @t802 () (not @t801)) % 0.95/1.14 (define @t803 () (or @t767 @t802 @t766 @t800)) % 0.95/1.14 (define @t804 () (and @t448 @t801 @t514 @t799)) % 0.95/1.14 (define @t805 () (not (= @t244 @t244))) % 0.95/1.14 (define @t806 () (or @t805 @t788 @t787 @t786)) % 0.95/1.14 (define @t807 () (not (tptp.relstr_set_smaller @t1 @t449 @t780))) % 0.95/1.14 (define @t808 () (= @t244 @t449)) % 0.95/1.14 (define @t809 () (not @t808)) % 0.95/1.14 (define @t810 () (or @t809 @t809 @t788 @t787 @t807)) % 0.95/1.14 (define @t811 () (or @t809 @t788 @t787 @t807)) % 0.95/1.14 (define @t812 () (forall @t452 @t811)) % 0.95/1.14 (define @t813 () (forall @t790 @t812)) % 0.95/1.14 (define @t814 () (forall (@list @t780 @t449) @t811)) % 0.95/1.14 (define @t815 () (@list @t449 @t780)) % 0.95/1.14 (define @t816 () (or @t788 @t787 @t807)) % 0.95/1.14 (define @t817 () (or @t809 @t816)) % 0.95/1.14 (define @t818 () (forall @t815 @t817)) % 0.95/1.14 (define @t819 () (forall @t790 @t817)) % 0.95/1.14 (define @t820 () (forall @t790 @t816)) % 0.95/1.14 (define @t821 () (or @t809 @t820)) % 0.95/1.14 (define @t822 () (not @t535)) % 0.95/1.14 (define @t823 () (not @t536)) % 0.95/1.14 (define @t824 () (not @t537)) % 0.95/1.14 (define @t825 () (or @t824 @t823 @t822)) % 0.95/1.14 (define @t826 () (forall @t447 @t825)) % 0.95/1.14 (define @t827 () (not @t826)) % 0.95/1.14 (define @t828 () (and @t808 @t827)) % 0.95/1.14 (define @t829 () (forall @t452 (not @t828))) % 0.95/1.14 (define @t830 () (not @t829)) % 0.95/1.14 (define @t831 () (forall @t447 (not @t538))) % 0.95/1.14 (define @t832 () (not @t831)) % 0.95/1.14 (define @t833 () (or @t712 @t794 @t793 @t792)) % 0.95/1.14 (define @t834 () (not (tptp.relstr_set_smaller @t1 @t455 @t783))) % 0.95/1.14 (define @t835 () (not @t593)) % 0.95/1.14 (define @t836 () (or @t835 @t835 @t794 @t793 @t834)) % 0.95/1.14 (define @t837 () (or @t835 @t794 @t793 @t834)) % 0.95/1.14 (define @t838 () (forall @t457 @t837)) % 0.95/1.14 (define @t839 () (forall @t796 @t838)) % 0.95/1.14 (define @t840 () (forall (@list @t783 @t455) @t837)) % 0.95/1.14 (define @t841 () (@list @t455 @t783)) % 0.95/1.14 (define @t842 () (or @t794 @t793 @t834)) % 0.95/1.14 (define @t843 () (or @t835 @t842)) % 0.95/1.14 (define @t844 () (forall @t841 @t843)) % 0.95/1.14 (define @t845 () (forall @t796 @t843)) % 0.95/1.14 (define @t846 () (forall @t796 @t842)) % 0.95/1.14 (define @t847 () (or @t835 @t846)) % 0.95/1.14 (define @t848 () (not @t543)) % 0.95/1.14 (define @t849 () (not @t544)) % 0.95/1.14 (define @t850 () (not @t545)) % 0.95/1.14 (define @t851 () (or @t850 @t849 @t848)) % 0.95/1.14 (define @t852 () (forall @t453 @t851)) % 0.95/1.14 (define @t853 () (not @t852)) % 0.95/1.14 (define @t854 () (and @t593 @t853)) % 0.95/1.14 (define @t855 () (forall @t457 (not @t854))) % 0.95/1.14 (define @t856 () (not @t855)) % 0.95/1.14 (define @t857 () (forall @t453 (not @t546))) % 0.95/1.14 (define @t858 () (not @t857)) % 0.95/1.14 (define @t859 () (@var "BOUND_VARIABLE_18859" $$unsorted)) % 0.95/1.14 (define @t860 () (not (tptp.relstr_set_smaller @t1 @t138 @t859))) % 0.95/1.14 (define @t861 () (not (tptp.in @t859 @t11))) % 0.95/1.14 (define @t862 () (not (tptp.element @t859 @t3))) % 0.95/1.14 (define @t863 () (or @t862 @t861 @t860)) % 0.95/1.14 (define @t864 () (@list @t859)) % 0.95/1.14 (define @t865 () (not (forall @t864 @t863))) % 0.95/1.14 (define @t866 () (and @t865 @t601)) % 0.95/1.14 (define @t867 () (and @t601 @t865)) % 0.95/1.14 (define @t868 () (= @t186 @t867)) % 0.95/1.14 (define @t869 () (forall @t148 @t868)) % 0.95/1.14 (define @t870 () (not @t869)) % 0.95/1.14 (define @t871 () (forall @t130 @t870)) % 0.95/1.14 (define @t872 () (not @t871)) % 0.95/1.14 (define @t873 () (or @t58 @t704 @t703 @t702 @t701 @t700 @t872)) % 0.95/1.14 (define @t874 () (forall @t51 @t873)) % 0.95/1.14 (define @t875 () (forall @t51 (or @t58 @t704 @t703 @t702 @t701 @t700 (not (forall @t130 (not (forall @t148 (= @t186 @t866)))))))) % 0.95/1.14 (define @t876 () (@var "BOUND_VARIABLE_27353" $$unsorted)) % 0.95/1.14 (define @t877 () (@var "BOUND_VARIABLE_27355" $$unsorted)) % 0.95/1.14 (define @t878 () (@var "BOUND_VARIABLE_27356" $$unsorted)) % 0.95/1.14 (define @t879 () (@var "BOUND_VARIABLE_27351" $$unsorted)) % 0.95/1.14 (define @t880 () (@var "BOUND_VARIABLE_27352" $$unsorted)) % 0.95/1.14 (define @t881 () (tptp.the_carrier @t879)) % 0.95/1.14 (define @t882 () (@var "BOUND_VARIABLE_27354" $$unsorted)) % 0.95/1.14 (define @t883 () (@list @t879 @t880 @t876 @t882 @t877 @t878)) % 0.95/1.14 (define @t884 () (forall @t51 @t705)) % 0.95/1.14 (define @t885 () (@list false)) % 0.95/1.14 (define @t886 () (or @t712 @t862 @t861 @t860)) % 0.95/1.14 (define @t887 () (not (tptp.relstr_set_smaller @t1 @t244 @t859))) % 0.95/1.14 (define @t888 () (or @t714 @t714 @t862 @t861 @t887)) % 0.95/1.14 (define @t889 () (or @t714 @t862 @t861 @t887)) % 0.95/1.14 (define @t890 () (forall @t307 @t889)) % 0.95/1.14 (define @t891 () (forall @t864 @t890)) % 0.95/1.14 (define @t892 () (forall (@list @t859 @t244) @t889)) % 0.95/1.14 (define @t893 () (@list @t244 @t859)) % 0.95/1.14 (define @t894 () (or @t862 @t861 @t887)) % 0.95/1.14 (define @t895 () (or @t714 @t894)) % 0.95/1.14 (define @t896 () (forall @t893 @t895)) % 0.95/1.14 (define @t897 () (forall @t864 @t895)) % 0.95/1.14 (define @t898 () (forall @t864 @t894)) % 0.95/1.14 (define @t899 () (or @t714 @t898)) % 0.95/1.14 (define @t900 () (not @t595)) % 0.95/1.14 (define @t901 () (not @t573)) % 0.95/1.14 (define @t902 () (not @t596)) % 0.95/1.14 (define @t903 () (or @t902 @t901 @t900)) % 0.95/1.14 (define @t904 () (forall @t457 @t903)) % 0.95/1.14 (define @t905 () (not @t904)) % 0.95/1.14 (define @t906 () (and @t511 @t905)) % 0.95/1.14 (define @t907 () (forall @t307 (not @t906))) % 0.95/1.14 (define @t908 () (not @t907)) % 0.95/1.14 (define @t909 () (forall @t457 (not @t597))) % 0.95/1.14 (define @t910 () (not @t909)) % 0.95/1.14 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 0.95/1.14 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 0.95/1.14 (assume @p3 (forall @t15 (=> @t14 @t13))) % 0.95/1.14 (assume @p4 (forall @t15 (=> @t17 (not @t16)))) % 0.95/1.14 (assume @p5 (forall @t6 (=> @t21 (forall @t20 (=> @t19 @t18))))) % 0.95/1.14 (assume @p6 (forall @t6 (=> @t23 (forall @t20 (=> @t19 (and @t18 @t22)))))) % 0.95/1.14 (assume @p7 (forall @t6 (=> @t25 (forall @t20 (=> @t19 (and @t18 @t22 @t24)))))) % 0.95/1.14 (assume @p8 (forall @t6 (=> @t27 (forall @t20 (=> @t19 (and @t18 @t22 @t26 @t24)))))) % 0.95/1.14 (assume @p9 (forall @t6 (=> @t29 (forall @t20 (=> @t19 (and @t18 @t28 @t22 @t26 @t24)))))) % 0.95/1.14 (assume @p10 (forall @t6 (=> @t30 (and @t21 @t23 @t25 @t27 @t29)))) % 0.95/1.14 (assume @p11 (forall @t6 (=> @t21 (forall @t20 (=> @t33 @t31))))) % 0.95/1.14 (assume @p12 (forall @t6 (=> @t23 (forall @t20 (=> @t33 (and @t31 @t34)))))) % 0.95/1.14 (assume @p13 (forall @t6 (=> @t25 (forall @t20 (=> @t33 (and @t31 @t34 @t35)))))) % 0.95/1.14 (assume @p14 (forall @t6 (=> @t27 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36)))))) % 0.95/1.14 (assume @p15 (forall @t6 (=> @t40 (forall @t20 (=> @t19 (and @t39 @t38 @t37)))))) % 0.95/1.14 (assume @p16 (forall @t6 (=> @t30 @t41))) % 0.95/1.14 (assume @p17 (forall @t6 (=> @t43 @t42))) % 0.95/1.14 (assume @p18 (forall @t6 (=> @t30 @t44))) % 0.95/1.14 (assume @p19 (forall @t51 (=> @t50 (=> (and @t47 @t49) @t48)))) % 0.95/1.14 (assume @p20 (forall @t6 (=> @t10 (=> @t62 @t60)))) % 0.95/1.14 (assume @p21 (forall @t6 (=> @t29 @t27))) % 0.95/1.14 (assume @p22 (forall @t6 (=> @t40 @t65))) % 0.95/1.14 (assume @p23 (forall @t6 (=> (and @t67 (tptp.symmetric @t1) @t68) (and @t67 @t66)))) % 0.95/1.14 (assume @p24 (forall @t6 (=> @t30 @t67))) % 0.95/1.14 (assume @p25 (forall @t51 (=> @t71 @t69))) % 0.95/1.14 (assume @p26 (forall @t6 (=> @t29 (forall @t20 (=> @t33 (and @t31 @t34 @t35 @t36 (tptp.v5_membered @t11))))))) % 0.95/1.14 (assume @p27 (forall @t6 (=> (and @t30 @t40) @t73))) % 0.95/1.14 (assume @p28 (forall @t6 (=> @t41 (forall @t20 (=> @t33 @t74))))) % 0.95/1.14 (assume @p29 (forall @t6 (=> @t42 @t43))) % 0.95/1.14 (assume @p30 (forall @t6 (=> @t77 @t76))) % 0.95/1.14 (assume @p31 (forall @t51 (=> @t50 (=> @t80 @t79)))) % 0.95/1.14 (assume @p32 (forall @t6 (=> @t10 (=> @t60 @t62)))) % 0.95/1.14 (assume @p33 (forall @t6 (=> @t27 @t25))) % 0.95/1.14 (assume @p34 (forall @t6 (=> @t65 @t40))) % 0.95/1.14 (assume @p35 (forall @t6 (=> (tptp.element @t1 tptp.omega) @t73))) % 0.95/1.14 (assume @p36 (forall @t51 (=> @t50 (=> @t79 @t80)))) % 0.95/1.14 (assume @p37 (forall @t6 (=> @t25 @t23))) % 0.95/1.14 (assume @p38 (forall @t6 (=> @t30 @t81))) % 0.95/1.14 (assume @p39 (forall @t15 (=> @t89 (=> (and @t86 @t88 @t87 @t84) (and @t86 @t85 @t84 @t83 @t82))))) % 0.95/1.14 (assume @p40 (forall @t6 (=> @t23 @t21))) % 0.95/1.14 (assume @p41 (forall @t15 (=> @t92 (forall @t90 (=> @t50 (=> @t48 (and @t47 @t49 @t46))))))) % 0.95/1.14 (assume @p42 (forall @t15 (=> @t95 (forall @t90 (=> @t50 (=> @t48 (and @t47 (not @t93) @t49 @t46))))))) % 0.95/1.14 (assume @p43 (forall @t15 (= @t96 (tptp.unordered_pair @t11 @t1)))) % 0.95/1.14 (assume @p44 (forall @t15 (= @t98 @t97))) % 0.95/1.14 (assume @p45 (forall @t51 (=> @t103 (= @t99 (tptp.join_commut @t1 @t45 @t11))))) % 0.95/1.14 (assume @p46 (forall @t15 (= @t105 @t104))) % 0.95/1.14 (assume @p47 (forall @t51 (=> @t108 (= @t106 (tptp.meet_commut @t1 @t45 @t11))))) % 0.95/1.14 (assume @p48 (forall @t51 (=> @t111 (= @t109 (tptp.subset_union2 @t1 @t45 @t11))))) % 0.95/1.14 (assume @p49 (forall @t51 (=> @t111 (= @t112 (tptp.subset_intersection2 @t1 @t45 @t11))))) % 0.95/1.14 (assume @p50 (forall @t15 (=> @t114 (or @t113 (tptp.ordinal_subset @t11 @t1))))) % 0.95/1.14 (assume @p51 (forall @t15 (=> @t123 (= @t122 (forall @t120 (= @t119 (and @t117 @t116))))))) % 0.95/1.14 (assume @p52 (forall @t15 (= @t126 (and @t125 @t124)))) % 0.95/1.14 (assume @p53 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (=> @t134 (= (= @t45 @t133) (and @t132 @t131)))))))) % 0.95/1.14 (assume @p54 (forall @t6 (=> @t137 (= @t136 (tptp.identity_as_relation_of @t3))))) % 0.95/1.14 (assume @p55 (forall @t6 (=> @t67 (forall @t135 (=> @t69 (= (= @t45 @t144) (forall @t143 (= @t142 (and @t141 @t140))))))))) % 0.95/1.14 (assume @p56 (forall @t6 (=> @t5 (= @t145 (tptp.join_on_relstr @t1 tptp.empty_set))))) % 0.95/1.14 (assume @p57 (forall @t6 (=> @t152 (forall @t135 (= @t151 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t147) @t146 (= @t115 (tptp.apply @t1 @t138))))))))))) % 0.95/1.14 (assume @p58 (forall @t15 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t154) (forall @t143 (= @t142 (and @t153 (tptp.in @t139 @t11)))))))))) % 0.95/1.14 (assume @p59 (forall @t6 (=> @t67 (= @t156 (tptp.is_antisymmetric_in @t1 @t155))))) % 0.95/1.14 (assume @p60 (forall @t6 (=> @t152 (forall @t135 (= @t159 (forall @t130 (= @t149 (and @t158 (tptp.in @t157 @t11))))))))) % 0.95/1.14 (assume @p61 (forall @t6 (=> @t163 (= @t162 (exists @t20 (and @t101 @t161)))))) % 0.95/1.14 (assume @p62 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (forall @t90 (=> @t167 (= (= @t45 @t166) (forall @t130 (=> (tptp.in @t115 @t3) (= @t149 (forall @t148 (=> @t165 (not (and (tptp.open_subset @t138 @t1) (tptp.in @t115 @t138) (tptp.disjoint @t11 @t138)))))))))))))))) % 0.95/1.14 (assume @p63 (forall @t6 (=> @t67 (forall @t135 (= @t151 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t170 @t1) @t146))))))))) % 0.95/1.14 (assume @p64 (forall @t6 (=> @t5 (forall @t20 (=> @t174 (= @t173 (and (tptp.subset @t172 @t3) (tptp.subset @t171 @t2)))))))) % 0.95/1.14 (assume @p65 (forall @t6 (=> @t67 (forall @t135 (= @t159 (forall @t130 (= @t149 (exists @t148 (and @t140 @t146))))))))) % 0.95/1.14 (assume @p66 (forall @t6 (=> @t67 (= @t175 (tptp.is_connected_in @t1 @t155))))) % 0.95/1.14 (assume @p67 (forall @t6 (=> @t5 (forall @t20 (=> @t173 (= @t176 (= @t171 (tptp.relation_restriction_as_relation_of @t2 @t172)))))))) % 0.95/1.14 (assume @p68 (forall @t6 (=> @t178 (forall @t20 (=> @t101 (forall @t90 (= @t177 (forall @t130 (=> @t129 (=> @t149 (tptp.below @t1 @t11 @t115))))))))))) % 0.95/1.14 (assume @p69 (forall @t6 (=> @t163 (=> @t162 (forall @t20 (=> @t101 (= (= @t11 @t179) @t161))))))) % 0.95/1.14 (assume @p70 (forall @t6 (=> @t67 (= @t68 (tptp.is_transitive_in @t1 @t155))))) % 0.95/1.14 (assume @p71 (forall @t6 (=> @t178 (forall @t20 (=> @t101 (forall @t90 (= (tptp.latt_element_smaller @t1 @t11 @t45) (forall @t130 (=> @t129 (=> @t149 (tptp.below @t1 @t115 @t11))))))))))) % 0.95/1.14 (assume @p72 (forall @t6 (=> @t152 (forall @t135 (= (tptp.apply_binary @t1 @t11 @t45) (tptp.apply @t1 @t180)))))) % 0.95/1.14 (assume @p73 (forall @t6 (=> @t184 (forall @t20 (=> @t101 (forall @t90 (=> @t167 (= @t182 (tptp.in @t11 @t181))))))))) % 0.95/1.14 (assume @p74 (forall @t187 (= (= @t115 (tptp.unordered_triple @t1 @t11 @t45)) (forall @t148 (= @t186 (not (and (not (= @t138 @t1)) (not (= @t138 @t11)) (not @t185)))))))) % 0.95/1.14 (assume @p75 (forall @t6 (= @t41 (exists @t20 (and @t123 @t86 (= @t189 @t1) (tptp.in @t188 tptp.omega)))))) % 0.95/1.14 (assume @p76 (forall @t6 (= @t44 (forall @t192 (=> (and @t191 @t190) @t116))))) % 0.95/1.14 (assume @p77 (forall @t51 (=> @t197 (and (=> (=> @t195 @t194) (= @t46 (= @t1 @t196))) (=> @t195 (or @t194 (= @t46 @t193))))))) % 0.95/1.14 (assume @p78 (forall @t15 (=> (and (tptp.strict_latt_str @t11) @t200) (= (= @t11 @t199) (and (= @t172 @t32) (forall @t90 (=> @t110 (forall @t130 (=> @t198 (and (= (tptp.apply_binary (tptp.the_L_join @t11) @t45 @t115) (tptp.subset_union2 @t1 @t45 @t115)) (= (tptp.apply_binary (tptp.the_L_meet @t11) @t45 @t115) (tptp.subset_intersection2 @t1 @t45 @t115)))))))))))) % 0.95/1.14 (assume @p79 (forall @t6 (=> @t202 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t201 (tptp.apply_binary_as_element @t3 @t3 @t3 @t8 @t11 @t45))))))))) % 0.95/1.14 (assume @p80 (forall @t6 (=> @t205 (forall @t20 (= (= @t11 (tptp.pair_first @t1)) (forall @t120 (=> @t204 @t203))))))) % 0.95/1.14 (assume @p81 (forall @t6 (= @t207 (tptp.set_union2 @t1 @t206)))) % 0.95/1.14 (assume @p82 (forall @t6 (=> @t169 (= @t183 (and (tptp.in @t3 @t208) (forall @t20 (=> @t212 (=> (tptp.subset @t11 @t208) (tptp.in @t210 @t208)))) (forall @t20 (=> @t168 (forall @t90 (=> @t167 (=> (and @t209 (tptp.in @t45 @t208)) (tptp.in (tptp.subset_intersection2 @t3 @t11 @t45) @t208))))))))))) % 0.95/1.14 (assume @p83 (forall @t6 (= @t67 (forall @t20 (not (and @t12 (forall @t120 (not (= @t11 @t118))))))))) % 0.95/1.14 (assume @p84 (forall @t6 (=> @t67 (forall @t20 (= @t214 (forall @t90 (=> @t213 (tptp.in (tptp.ordered_pair @t45 @t45) @t1)))))))) % 0.95/1.14 (assume @p85 (forall @t51 (= @t50 (tptp.subset @t45 @t70)))) % 0.95/1.14 (assume @p86 (forall @t15 (and (=> @t218 (= @t215 (forall @t90 (= @t213 (forall @t130 (=> @t217 @t216)))))) (=> @t194 (= @t215 @t195))))) % 0.95/1.14 (assume @p87 (forall @t6 (=> @t137 (= @t58 @t219)))) % 0.95/1.14 (assume @p88 (forall @t15 (= (= @t11 @t206) (forall @t90 (= @t213 (= @t45 @t1)))))) % 0.95/1.14 (assume @p89 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t221 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t220)))))))) % 0.95/1.14 (assume @p90 (forall @t6 (=> @t169 (forall @t20 (=> @t212 (= @t223 (forall @t90 (=> @t167 (=> @t213 @t222))))))))) % 0.95/1.14 (assume @p91 (forall @t6 (=> @t67 (forall @t135 (= (= @t45 (tptp.fiber @t1 @t11)) (forall @t130 (= @t149 (and (not @t224) (tptp.in (tptp.ordered_pair @t115 @t11) @t1))))))))) % 0.95/1.14 (assume @p92 (forall @t15 (=> @t123 (= (= @t11 @t227) (and (= @t226 @t1) (forall @t120 (=> (and @t117 @t217) (= @t119 @t225)))))))) % 0.95/1.14 (assume @p93 (forall @t6 (= @t194 (forall @t20 @t13)))) % 0.95/1.14 (assume @p94 (forall @t15 (= (= @t11 @t32) (forall @t90 (= @t213 (tptp.subset @t45 @t1)))))) % 0.95/1.14 (assume @p95 (forall @t6 (=> @t178 (=> @t229 (forall @t135 (=> @t100 (= (= @t45 @t228) (and (tptp.latt_element_smaller @t1 @t45 @t11) (forall @t130 (=> @t129 (=> (tptp.latt_element_smaller @t1 @t115 @t11) (tptp.below @t1 @t45 @t115)))))))))))) % 0.95/1.14 (assume @p96 (forall @t6 (=> @t178 (forall @t20 (= @t230 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 0.95/1.14 (assume @p97 (forall @t6 (= (tptp.centered @t1) (and @t218 (forall @t20 (not (and @t232 @t124 @t74 (= @t231 tptp.empty_set)))))))) % 0.95/1.14 (assume @p98 (forall @t6 (=> @t235 (= @t234 (tptp.rel_str_of @t3 @t233))))) % 0.95/1.14 (assume @p99 (forall @t6 (=> @t163 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t160 (tptp.apply_binary_as_element @t3 @t3 @t3 @t7 @t11 @t45))))))))) % 0.95/1.14 (assume @p100 (forall @t6 (=> @t205 (forall @t20 (= (= @t11 (tptp.pair_second @t1)) (forall @t120 (=> @t204 @t236))))))) % 0.95/1.14 (assume @p101 (forall @t6 (= @t64 (forall @t20 (=> @t12 @t124))))) % 0.95/1.14 (assume @p102 (forall @t6 (=> @t137 (= @t237 tptp.empty_set)))) % 0.95/1.14 (assume @p103 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t126 (forall @t120 (= @t238 @t119)))))))) % 0.95/1.14 (assume @p104 (forall @t15 (and (=> @t94 (= @t19 @t12)) (=> @t30 (= @t19 @t91))))) % 0.95/1.14 (assume @p105 (forall @t51 (= (= @t45 @t96) (forall @t130 (= @t149 (or (= @t115 @t1) @t224)))))) % 0.95/1.14 (assume @p106 (forall @t15 (=> @t19 (= (tptp.proper_element @t11 @t1) (not @t240))))) % 0.95/1.14 (assume @p107 (forall @t6 (=> @t169 (forall @t20 (=> @t212 (= @t242 @t241)))))) % 0.95/1.14 (assume @p108 (forall @t6 (=> @t67 (= @t243 (forall @t20 (not (and (tptp.subset @t11 @t155) @t232 (forall @t90 (not (and @t213 (tptp.disjoint (tptp.fiber @t1 @t45) @t11))))))))))) % 0.95/1.14 (assume @p109 (forall @t51 (= (= @t45 @t98) (forall @t130 (= @t149 (or @t217 @t141)))))) % 0.95/1.14 (assume @p110 (forall @t51 (= (= @t45 @t70) (forall @t130 (= @t149 (exists @t247 (and @t153 @t246 (= @t115 @t245)))))))) % 0.95/1.14 (assume @p111 (forall @t6 (=> @t169 (= @t252 (forall @t20 (=> @t212 (not (and @t251 @t223 (forall @t90 (=> @t250 (not (and @t249 (tptp.is_a_cover_of_carrier @t1 @t45) @t248)))))))))))) % 0.95/1.14 (assume @p112 (forall @t6 (=> @t235 (forall @t20 (=> @t101 (= @t253 @t11)))))) % 0.95/1.14 (assume @p113 (forall @t6 (=> @t202 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t254 (= @t201 @t45))))))))) % 0.95/1.14 (assume @p114 (forall @t6 (= @t63 (forall @t135 (not (and @t12 @t117 (not @t257) @t256 @t255)))))) % 0.95/1.14 (assume @p115 (forall @t6 (=> @t137 (= @t258 @t3)))) % 0.95/1.14 (assume @p116 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t125 (forall @t120 (=> @t238 @t119)))))))) % 0.95/1.14 (assume @p117 (forall @t15 (= @t125 @t259))) % 0.95/1.14 (assume @p118 (forall @t6 (=> @t67 (forall @t20 (= @t261 (forall @t90 (not (and @t249 @t260 (forall @t130 (not (and @t149 (tptp.disjoint (tptp.fiber @t1 @t115) @t45)))))))))))) % 0.95/1.14 (assume @p119 (forall @t51 (= (= @t45 @t105) (forall @t130 (= @t149 (and @t217 @t141)))))) % 0.95/1.14 (assume @p120 (forall @t6 (=> @t152 (forall @t135 (and (=> @t264 (= @t263 @t191)) (=> (not @t264) (= @t263 @t193))))))) % 0.95/1.14 (assume @p121 (forall @t6 (=> @t235 (forall @t20 (=> @t267 (= @t265 @t11)))))) % 0.95/1.14 (assume @p122 (forall @t6 (= @t40 @t65))) % 0.95/1.14 (assume @p123 (forall @t6 (=> @t67 (forall @t20 (= (= @t11 @t147) (forall @t90 (= @t213 (exists @t130 @t238)))))))) % 0.95/1.14 (assume @p124 (forall @t6 (=> @t67 (forall @t20 (= @t269 (forall @t120 (=> (and @t213 @t141 @t238 @t268) @t116))))))) % 0.95/1.14 (assume @p125 (forall @t6 (= @t270 @t1))) % 0.95/1.14 (assume @p126 (forall @t15 (= @t240 (forall @t90 (= @t213 (exists @t130 (and @t216 @t217))))))) % 0.95/1.14 (assume @p127 (forall @t6 (=> @t67 (= @t271 (and @t66 @t68 @t156 @t175 @t243))))) % 0.95/1.14 (assume @p128 (forall @t15 (= @t275 (exists @t90 (and @t69 @t47 @t78 @t274 (= @t272 @t11)))))) % 0.95/1.14 (assume @p129 (forall @t51 (= (= @t45 @t276) (forall @t130 (= @t149 (and @t217 (not @t141))))))) % 0.95/1.14 (assume @p130 (forall @t6 (=> @t5 (= @t277 (exists @t20 (and @t101 (tptp.relstr_element_smaller @t1 @t3 @t11))))))) % 0.95/1.14 (assume @p131 (forall @t6 (=> @t152 (forall @t20 (= @t280 (forall @t90 (= @t213 (exists @t130 @t278)))))))) % 0.95/1.14 (assume @p132 (forall @t6 (=> @t5 (= @t281 (tptp.is_transitive_in @t2 @t3))))) % 0.95/1.14 (assume @p133 (forall @t6 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t282 @t40 (forall @t20 (=> @t37 (=> (and (tptp.in tptp.empty_set @t11) (tptp.being_limit_ordinal @t11)) @t125))))))) % 0.95/1.14 (assume @p134 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t283 @t209)))))) % 0.95/1.14 (assume @p135 (forall @t6 (=> @t67 (forall @t20 (= @t280 (forall @t90 (= @t213 (exists @t130 @t268)))))))) % 0.95/1.14 (assume @p136 (forall @t15 (=> @t33 (= @t284 @t276)))) % 0.95/1.14 (assume @p137 (forall @t15 (= @t285 (tptp.unordered_pair @t96 @t206)))) % 0.95/1.14 (assume @p138 (forall @t6 (=> @t67 (forall @t20 (= (tptp.well_orders @t1 @t11) (and @t214 @t287 @t269 @t286 @t261)))))) % 0.95/1.14 (assume @p139 (forall @t6 (=> @t5 (= @t288 (tptp.is_antisymmetric_in @t2 @t3))))) % 0.95/1.14 (assume @p140 (forall @t6 (= @t282 (= @t1 @t239)))) % 0.95/1.14 (assume @p141 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t290 (tptp.open_subset @t289 @t1))))))) % 0.95/1.14 (assume @p142 (forall @t6 (=> @t67 (= @t155 (tptp.set_union2 @t147 @t279))))) % 0.95/1.14 (assume @p143 (forall @t6 (=> @t67 (forall @t20 (= @t286 (forall @t120 (not (and @t213 @t141 (not @t116) (not @t238) (not @t268))))))))) % 0.95/1.14 (assume @p144 (forall @t6 (=> @t67 (forall @t20 (= @t292 (tptp.set_intersection2 @t1 @t291)))))) % 0.95/1.14 (assume @p145 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= (= @t11 @t293) (forall @t120 (= @t119 @t268)))))))) % 0.95/1.14 (assume @p146 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t297 (= @t296 (and (= @t273 @t155) (= @t272 @t226) @t78 (forall @t143 (= @t140 (and (tptp.in @t115 @t155) (tptp.in @t138 @t155) (tptp.in (tptp.ordered_pair @t295 @t294) @t11))))))))))))) % 0.95/1.14 (assume @p147 (forall @t15 (= @t298 (= @t105 tptp.empty_set)))) % 0.95/1.14 (assume @p148 (forall @t6 (=> @t5 (forall @t20 (= @t305 (exists @t90 (and @t100 @t304 @t303 (forall @t130 (=> @t129 (=> (and @t301 (forall @t148 (=> @t300 (=> (tptp.relstr_set_smaller @t1 @t11 @t138) (tptp.related @t1 @t115 @t138))))) @t299)))))))))) % 0.95/1.14 (assume @p149 (forall @t6 (=> @t235 (= @t306 (tptp.a_1_0_filter_1 @t1))))) % 0.95/1.14 (assume @p150 (forall @t6 (=> @t152 (= @t75 (forall @t135 (=> (and @t264 (tptp.in @t45 @t147) (= @t262 (tptp.apply @t1 @t45))) @t203)))))) % 0.95/1.14 (assume @p151 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (= @t132 (forall @t130 (=> @t129 (=> @t141 @t302))))))))) % 0.95/1.14 (assume @p152 (forall @t6 (=> @t178 (= @t53 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.join @t1 @t160 @t45) @t45))))))))) % 0.95/1.14 (assume @p153 (forall @t6 (=> @t137 (forall @t20 (=> @t212 (= @t251 (= @t258 @t210))))))) % 0.95/1.14 (assume @p154 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t69 (= (= @t45 @t308) (forall @t143 (= @t142 (exists @t307 (and (tptp.in (tptp.ordered_pair @t115 @t244) @t1) (tptp.in (tptp.ordered_pair @t244 @t138) @t11))))))))))))) % 0.95/1.14 (assume @p155 (forall @t6 (=> @t67 (forall @t20 (= @t287 (forall @t309 (=> (and @t213 @t141 @t146 @t238 @t140) (tptp.in (tptp.ordered_pair @t45 @t138) @t1)))))))) % 0.95/1.14 (assume @p156 (forall @t15 (=> @t312 (forall @t90 (=> (tptp.element @t45 @t311) (= (= @t45 @t310) (forall @t130 (=> @t198 (= @t149 (tptp.in (tptp.subset_complement @t1 @t115) @t11)))))))))) % 0.95/1.14 (assume @p157 (forall @t15 (= @t17 (and @t125 @t313)))) % 0.95/1.14 (assume @p158 (forall @t6 (=> @t5 (forall @t20 (= @t134 (exists @t90 (and @t100 @t132 @t131 (forall @t130 (=> @t129 (=> (and @t128 (forall @t148 (=> @t300 (=> (tptp.relstr_element_smaller @t1 @t11 @t138) (tptp.related @t1 @t138 @t115))))) @t299)))))))))) % 0.95/1.14 (assume @p159 (forall @t6 (=> @t152 (=> @t75 (= @t314 @t293))))) % 0.95/1.14 (assume @p160 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (= @t304 (forall @t130 (=> @t129 (=> @t141 @t127))))))))) % 0.95/1.14 (assume @p161 (forall @t6 (=> @t5 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t315 (tptp.in @t180 @t2))))))))) % 0.95/1.14 (assume @p162 (forall @t6 (=> @t67 (= @t66 (tptp.is_reflexive_in @t1 @t155))))) % 0.95/1.14 (assume @p163 (forall @t6 (=> @t5 (forall @t135 (=> @t100 (=> @t305 (= (= @t45 @t316) (and @t304 @t303)))))))) % 0.95/1.14 (assume @p164 (forall @t15 (=> @t89 (and @t318 (tptp.rel_str @t317))))) % 0.95/1.14 (assume @p165 (forall @t51 (=> @t326 (and @t320 (tptp.latt_str @t319))))) % 0.95/1.14 (assume @p166 (forall @t187 (=> @t332 (tptp.element @t328 (tptp.the_carrier @t327))))) % 0.95/1.14 (assume @p167 true) % 0.95/1.14 (assume @p168 (forall @t15 (=> @t178 (tptp.element @t228 @t3)))) % 0.95/1.14 (assume @p169 (forall @t15 (=> @t178 (tptp.element @t230 @t3)))) % 0.95/1.14 (assume @p170 (forall @t187 (=> @t335 (tptp.element @t333 @t70)))) % 0.95/1.14 (assume @p171 (forall @t6 (and @t336 (tptp.latt_str @t199)))) % 0.95/1.14 (assume @p172 (forall @t51 (=> (and @t59 @t102 @t101 @t100) (tptp.element @t201 @t3)))) % 0.95/1.14 (assume @p173 (forall @t6 (tptp.element @t337 @t311))) % 0.95/1.14 (assume @p174 (forall @t6 (=> @t137 (tptp.element @t237 @t164)))) % 0.95/1.14 (assume @p175 (forall @t15 (=> @t67 (tptp.relation_of2_as_subset @t338 @t11 @t11)))) % 0.95/1.14 (assume @p176 (forall @t15 (=> @t339 (tptp.element @t221 @t164)))) % 0.95/1.14 (assume @p177 (forall @t6 (tptp.relation @t227))) % 0.95/1.14 (assume @p178 (forall @t15 (=> @t5 (tptp.element @t316 @t3)))) % 0.95/1.14 (assume @p179 (forall @t343 (=> @t342 (tptp.element @t340 @t45)))) % 0.95/1.14 (assume @p180 (forall @t6 (=> @t152 (and (tptp.relation @t314) (tptp.function @t314))))) % 0.95/1.14 (assume @p181 (forall @t6 (=> @t235 (and (tptp.reflexive @t233) (tptp.antisymmetric @t233) (tptp.transitive @t233) (tptp.v1_partfun1 @t233 @t3 @t3) (tptp.relation_of2_as_subset @t233 @t3 @t3))))) % 0.95/1.14 (assume @p182 (forall @t51 (=> (and @t59 @t107 @t101 @t100) (tptp.element @t160 @t3)))) % 0.95/1.14 (assume @p183 (forall @t6 (=> @t137 (tptp.element @t258 @t164)))) % 0.95/1.14 (assume @p184 (forall @t6 (tptp.element @t270 @t32))) % 0.95/1.14 (assume @p185 (forall @t15 (=> @t67 (tptp.relation @t292)))) % 0.95/1.14 (assume @p186 (forall @t15 (=> @t5 (tptp.element @t133 @t3)))) % 0.95/1.14 (assume @p187 (forall @t6 (=> @t235 (and @t347 @t346 @t345 @t344 (tptp.rel_str @t234))))) % 0.95/1.14 (assume @p188 (forall @t51 (=> @t103 (tptp.element @t99 @t3)))) % 0.95/1.14 (assume @p189 (forall @t15 (=> @t33 (tptp.element @t284 @t32)))) % 0.95/1.14 (assume @p190 (forall @t6 (=> @t5 (tptp.element @t145 @t3)))) % 0.95/1.14 (assume @p191 (forall @t15 (=> (and @t59 @t61 @t10 @t101) (tptp.element @t253 @t266)))) % 0.95/1.14 (assume @p192 (forall @t51 (=> @t108 (tptp.element @t106 @t3)))) % 0.95/1.14 (assume @p193 (forall @t6 (=> @t67 @t348))) % 0.95/1.14 (assume @p194 (forall @t51 (=> @t50 (tptp.element @t196 @t32)))) % 0.95/1.14 (assume @p195 (forall @t51 (=> @t111 (tptp.element @t109 @t32)))) % 0.95/1.14 (assume @p196 (forall @t15 (=> (and @t59 @t61 @t10 @t267) (tptp.element @t265 @t3)))) % 0.95/1.14 (assume @p197 (forall @t6 (=> @t163 (tptp.element @t179 @t3)))) % 0.95/1.14 (assume @p198 (forall @t15 (=> @t350 @t349))) % 0.95/1.14 (assume @p199 (forall @t51 (=> @t50 (tptp.element @t352 @t351)))) % 0.95/1.14 (assume @p200 (forall @t15 (=> @t312 (tptp.element @t353 @t32)))) % 0.95/1.14 (assume @p201 (forall @t51 (=> @t111 (tptp.element @t112 @t32)))) % 0.95/1.14 (assume @p202 (forall @t6 (and (tptp.v1_partfun1 @t354 @t1 @t1) (tptp.relation_of2_as_subset @t354 @t1 @t1)))) % 0.95/1.14 (assume @p203 (forall @t15 (=> @t339 (tptp.element @t166 @t164)))) % 0.95/1.14 (assume @p204 (forall @t6 @t355)) % 0.95/1.14 (assume @p205 (forall @t15 (=> @t312 (tptp.element @t356 @t32)))) % 0.95/1.14 (assume @p206 (forall @t51 (=> @t111 (tptp.element @t357 @t32)))) % 0.95/1.14 (assume @p207 (forall @t6 (=> @t137 (and (tptp.function @t136) (tptp.quasi_total @t136 @t3 @t3) (tptp.relation_of2_as_subset @t136 @t3 @t3))))) % 0.95/1.14 (assume @p208 (forall @t15 (=> @t67 @t358))) % 0.95/1.14 (assume @p209 (forall @t15 (=> @t312 (tptp.element @t310 @t311)))) % 0.95/1.14 (assume @p210 (forall @t15 (=> (and @t59 @t10 @t331 @t200) (and (tptp.strict_latt_str @t327) (tptp.latt_str @t327))))) % 0.95/1.14 (assume @p211 (forall @t187 (=> @t360 (tptp.element @t359 @t11)))) % 0.95/1.14 (assume @p212 (forall @t15 (=> @t123 @t361))) % 0.95/1.14 (assume @p213 (forall @t6 (=> @t235 (tptp.relation @t306)))) % 0.95/1.14 (assume @p214 (forall @t6 (=> @t107 @t137))) % 0.95/1.14 (assume @p215 (forall @t6 (=> @t5 @t137))) % 0.95/1.14 (assume @p216 (forall @t6 (=> @t169 @t137))) % 0.95/1.14 (assume @p217 (forall @t6 (=> @t102 @t137))) % 0.95/1.14 (assume @p218 (forall @t6 (=> @t10 (and @t107 @t102)))) % 0.95/1.14 (assume @p219 (forall @t15 (=> @t362 (forall @t90 (=> @t182 @t167))))) % 0.95/1.14 (assume @p220 (forall @t6 (=> @t5 (forall @t20 (=> @t173 @t174))))) % 0.95/1.14 (assume @p221 (forall @t51 (=> @t197 @t71))) % 0.95/1.14 (assume @p222 (forall @t6 (=> @t107 (and @t365 @t364 (tptp.relation_of2_as_subset @t7 @t363 @t3))))) % 0.95/1.14 (assume @p223 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 0.95/1.14 (assume @p224 (forall @t6 (=> @t169 (tptp.element @t208 @t211)))) % 0.95/1.14 (assume @p225 (forall @t6 (=> @t102 (and @t367 @t366 (tptp.relation_of2_as_subset @t8 @t363 @t3))))) % 0.95/1.14 (assume @p226 (exists @t6 @t107)) % 0.95/1.14 (assume @p227 (exists @t6 @t5)) % 0.95/1.14 (assume @p228 (exists @t6 @t169)) % 0.95/1.14 (assume @p229 (exists @t6 @t137)) % 0.95/1.14 (assume @p230 (exists @t6 @t102)) % 0.95/1.14 (assume @p231 (exists @t6 @t10)) % 0.95/1.14 (assume @p232 (forall @t15 (=> @t362 (exists @t90 @t182)))) % 0.95/1.14 (assume @p233 (forall @t15 (exists @t90 @t50))) % 0.95/1.14 (assume @p234 (forall @t6 (exists @t20 @t19))) % 0.95/1.14 (assume @p235 (forall @t6 (=> @t5 (exists @t20 @t173)))) % 0.95/1.14 (assume @p236 (forall @t15 (exists @t90 @t197))) % 0.95/1.14 (assume @p237 (forall @t15 (=> @t74 @t368))) % 0.95/1.14 (assume @p238 (forall @t15 (=> @t370 (and (tptp.empty @t369) (tptp.relation @t369))))) % 0.95/1.14 (assume @p239 (forall @t15 (=> @t41 @t368))) % 0.95/1.14 (assume @p240 (forall @t6 (=> @t30 (and (tptp.empty @t293) @t348)))) % 0.95/1.14 (assume @p241 (forall @t15 (=> @t41 (tptp.finite @t276)))) % 0.95/1.14 (assume @p242 (and @t373 @t372 @t371)) % 0.95/1.14 (assume @p243 (forall @t15 (=> (and @t67 @t44 @t74) (tptp.finite @t150)))) % 0.95/1.14 (assume @p244 (forall @t15 (=> @t375 (and @t358 (tptp.relation_empty_yielding @t144))))) % 0.95/1.14 (assume @p245 (forall @t15 (=> @t376 (tptp.finite @t70)))) % 0.95/1.14 (assume @p246 (forall @t6 (and @t377 (tptp.finite @t206)))) % 0.95/1.14 (assume @p247 (forall @t6 (and @t378 (tptp.cup_closed @t32) (tptp.diff_closed @t32) (tptp.preboolean @t32)))) % 0.95/1.14 (assume @p248 (forall @t15 (=> (and @t67 @t44 @t123 @t86) (and @t349 (tptp.function @t308))))) % 0.95/1.14 (assume @p249 (forall @t6 (and @t379 @t336))) % 0.95/1.14 (assume @p250 (forall @t15 (=> (and @t94 @t89) (and (not (tptp.empty_carrier @t317)) @t318)))) % 0.95/1.14 (assume @p251 (forall @t6 @t380)) % 0.95/1.14 (assume @p252 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.95/1.14 (assume @p253 (forall @t6 (=> @t137 (and (tptp.empty @t237) (tptp.v1_membered @t237) (tptp.v2_membered @t237) (tptp.v3_membered @t237) (tptp.v4_membered @t237) (tptp.v5_membered @t237))))) % 0.95/1.14 (assume @p254 (forall @t15 (=> @t350 (tptp.relation @t105)))) % 0.95/1.14 (assume @p255 (forall @t6 (=> @t381 (not @t219)))) % 0.95/1.14 (assume @p256 (forall @t6 @t378)) % 0.95/1.14 (assume @p257 @t373) % 0.95/1.14 (assume @p258 (forall @t15 (not (tptp.empty @t285)))) % 0.95/1.14 (assume @p259 (forall @t15 (=> @t21 @t382))) % 0.95/1.14 (assume @p260 (forall @t15 (=> @t21 @t383))) % 0.95/1.14 (assume @p261 (forall @t15 (=> @t23 (and @t382 @t384)))) % 0.95/1.14 (assume @p262 (forall @t6 (=> (and @t40 @t72) (and @t380 @t387 @t386 @t385 (tptp.natural @t207))))) % 0.95/1.14 (assume @p263 (forall @t6 (and @t355 @t388))) % 0.95/1.14 (assume @p264 (forall @t6 (=> @t391 (and @t390 @t367 @t366 (tptp.v1_binop_1 @t8 @t3) @t389)))) % 0.95/1.14 (assume @p265 (forall @t6 (and @t379 @t336 (tptp.join_commutative @t199) (tptp.join_associative @t199) (tptp.meet_commutative @t199) (tptp.meet_associative @t199) (tptp.meet_absorbing @t199) (tptp.join_absorbing @t199) (tptp.lattice @t199)))) % 0.95/1.14 (assume @p266 (forall @t6 (=> (and @t392 @t281 @t288 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 0.95/1.14 (assume @p267 (and @t372 @t371 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t373 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.95/1.14 (assume @p268 (forall @t6 (and @t355 @t388 (tptp.reflexive @t121) (tptp.symmetric @t121) (tptp.antisymmetric @t121) (tptp.transitive @t121)))) % 0.95/1.14 (assume @p269 (forall @t6 (=> @t381 (not (tptp.empty @t258))))) % 0.95/1.14 (assume @p270 (forall @t15 (=> @t350 (tptp.relation @t98)))) % 0.95/1.14 (assume @p271 (forall @t6 @t377)) % 0.95/1.14 (assume @p272 (forall @t15 (=> @t393 (tptp.closed_subset @t166 @t1)))) % 0.95/1.14 (assume @p273 (forall @t15 (=> @t94 (not (tptp.empty @t98))))) % 0.95/1.14 (assume @p274 (forall @t15 (=> @t23 (and @t383 @t394)))) % 0.95/1.14 (assume @p275 (forall @t15 (=> @t25 (and @t382 @t384 @t395)))) % 0.95/1.14 (assume @p276 (forall @t15 (=> @t25 (and @t383 @t394 @t396)))) % 0.95/1.14 (assume @p277 (forall @t15 (=> @t27 (and @t382 @t384 @t395 @t397)))) % 0.95/1.14 (assume @p278 (forall @t15 (=> @t27 (and @t383 @t394 @t396 @t398)))) % 0.95/1.14 (assume @p279 (forall @t15 (=> @t29 (and @t382 @t384 @t395 @t397 (tptp.v5_membered @t105))))) % 0.95/1.14 (assume @p280 (forall @t15 (=> @t29 (and @t383 @t394 @t396 @t398 (tptp.v5_membered @t104))))) % 0.95/1.14 (assume @p281 (forall @t15 (=> @t21 @t399))) % 0.95/1.14 (assume @p282 (forall @t15 (=> @t23 (and @t399 @t400)))) % 0.95/1.14 (assume @p283 (forall @t15 (=> @t25 (and @t399 @t400 @t401)))) % 0.95/1.14 (assume @p284 (forall @t6 (=> @t76 (and @t348 (tptp.function @t293))))) % 0.95/1.14 (assume @p285 (forall @t6 (=> (and @t59 @t56 @t102) (and @t390 @t367 @t366 (tptp.v2_binop_1 @t8 @t3) @t389)))) % 0.95/1.14 (assume @p286 (forall @t51 (=> (and @t94 @t86 @t325 @t324 @t47 @t323 @t322) (and (not (tptp.empty_carrier @t319)) @t320)))) % 0.95/1.14 (assume @p287 (forall @t15 (=> (and @t87 @t403 @t402 @t88 @t89) (and @t318 (tptp.reflexive_relstr @t317) (tptp.transitive_relstr @t317) (tptp.antisymmetric_relstr @t317))))) % 0.95/1.14 (assume @p288 (forall @t6 (=> @t40 (and @t380 @t387 @t386 @t385)))) % 0.95/1.14 (assume @p289 (forall @t15 (=> @t350 (tptp.relation @t276)))) % 0.95/1.14 (assume @p290 (forall @t15 (not (tptp.empty @t96)))) % 0.95/1.14 (assume @p291 (forall @t15 (=> (and @t183 @t169 @t290 @t168) @t404))) % 0.95/1.14 (assume @p292 (forall @t15 (=> @t94 (not (tptp.empty @t97))))) % 0.95/1.14 (assume @p293 (forall @t15 (=> @t27 (and @t399 @t400 @t401 @t405)))) % 0.95/1.14 (assume @p294 (forall @t15 (=> @t29 (and @t399 @t400 @t401 @t405 (tptp.v5_membered @t276))))) % 0.95/1.14 (assume @p295 (forall @t15 (=> @t152 (and @t358 (tptp.function @t144))))) % 0.95/1.14 (assume @p296 (forall @t6 (=> (and @t59 @t55 @t107) (and @t407 @t365 @t364 (tptp.v1_binop_1 @t7 @t3) @t406)))) % 0.95/1.14 (assume @p297 (forall @t6 (=> @t235 (and (not (tptp.empty_carrier @t234)) @t347 @t346 @t345 @t344)))) % 0.95/1.14 (assume @p298 (forall @t6 (=> @t40 (and (tptp.epsilon_transitive @t239) (tptp.epsilon_connected @t239) (tptp.ordinal @t239))))) % 0.95/1.14 (assume @p299 (and @t373 @t372)) % 0.95/1.14 (assume @p300 (forall @t15 (=> @t95 (not (tptp.empty @t70))))) % 0.95/1.14 (assume @p301 (forall @t15 (=> (and @t183 @t169 @t283 @t168) @t408))) % 0.95/1.14 (assume @p302 (forall @t15 (=> @t409 (and @t361 (tptp.function @t154))))) % 0.95/1.14 (assume @p303 (forall @t6 (=> (and @t59 @t54 @t107) (and @t407 @t365 @t364 (tptp.v2_binop_1 @t7 @t3) @t406)))) % 0.95/1.14 (assume @p304 (forall @t6 (=> @t410 (tptp.closed_subset @t258 @t1)))) % 0.95/1.14 (assume @p305 (forall @t6 (=> @t412 (not @t411)))) % 0.95/1.14 (assume @p306 (and @t373 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.95/1.14 (assume @p307 (forall @t6 (=> @t412 (not @t413)))) % 0.95/1.14 (assume @p308 (forall @t15 (=> @t393 @t414))) % 0.95/1.14 (assume @p309 (forall @t6 (=> @t30 (and @t411 (tptp.relation @t147))))) % 0.95/1.14 (assume @p310 (forall @t6 (=> @t30 (and @t413 (tptp.relation @t279))))) % 0.95/1.14 (assume @p311 (forall @t15 (=> @t376 (tptp.finite @t98)))) % 0.95/1.14 (assume @p312 (forall @t15 (=> @t370 (and (tptp.empty @t308) @t349)))) % 0.95/1.14 (assume @p313 (forall @t15 (=> @t416 (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t11)) (exists @t120 (and @t415 @t329 (= @t1 (tptp.ordered_pair_as_product_element @t172 @t172 @t45 @t115)) (tptp.below_refl @t11 @t45 @t115))))))) % 0.95/1.14 (assume @p314 (forall @t51 (=> (and @t331 @t200) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t45)) @t418)))) % 0.95/1.14 (assume @p315 (forall @t51 (=> (and @t331 @t330 (tptp.complete_latt_str @t11) @t200) (= (tptp.in @t1 (tptp.a_2_3_lattice3 @t11 @t45)) @t418)))) % 0.95/1.14 (assume @p316 (forall @t15 (=> @t89 (forall @t120 (=> (= @t317 (tptp.rel_str_of @t45 @t115)) @t420))))) % 0.95/1.14 (assume @p317 (forall @t51 (=> @t326 (forall @t422 (=> (= @t319 (tptp.latt_str_of @t115 @t138 @t244)) (and @t417 (= @t11 @t138) @t421)))))) % 0.95/1.14 (assume @p318 (forall @t15 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.95/1.14 (assume @p319 (forall @t15 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.95/1.14 (assume @p320 (forall @t51 (=> @t111 (= (tptp.subset_union2 @t1 @t11 @t11) @t11)))) % 0.95/1.14 (assume @p321 (forall @t51 (=> @t111 (= (tptp.subset_intersection2 @t1 @t11 @t11) @t11)))) % 0.95/1.14 (assume @p322 (forall @t15 (=> @t33 (= (tptp.subset_complement @t1 @t284) @t11)))) % 0.95/1.14 (assume @p323 (forall @t6 (=> @t67 (= (tptp.relation_inverse @t293) @t1)))) % 0.95/1.14 (assume @p324 (forall @t15 (=> @t312 (= (tptp.complements_of_subsets @t1 @t310) @t11)))) % 0.95/1.14 (assume @p325 (forall @t15 (not (tptp.proper_subset @t1 @t1)))) % 0.95/1.14 (assume @p326 (forall @t6 (=> @t67 (= @t66 (forall @t20 (=> @t423 (tptp.in (tptp.ordered_pair @t11 @t11) @t1))))))) % 0.95/1.14 (assume @p327 (forall @t6 (not (= @t206 tptp.empty_set)))) % 0.95/1.14 (assume @p328 (forall @t15 (=> @t14 (= (tptp.set_union2 @t206 @t11) @t11)))) % 0.95/1.14 (assume @p329 (forall @t15 (not (and @t424 @t14)))) % 0.95/1.14 (assume @p330 (forall @t15 (=> @t425 @t424))) % 0.95/1.14 (assume @p331 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_dom @t154) @t188)))) % 0.95/1.14 (assume @p332 (forall @t6 (=> @t67 (= @t68 (forall @t192 (=> (and @t191 @t238) @t190)))))) % 0.95/1.14 (assume @p333 (forall @t15 (= (tptp.subset @t206 @t11) @t14))) % 0.95/1.14 (assume @p334 (forall @t15 (=> @t123 (not (and @t426 (tptp.equipotent @t1 @t226) (forall @t90 (=> @t69 (not (tptp.well_orders @t45 @t1))))))))) % 0.95/1.14 (assume @p335 (forall @t15 (= (= @t276 tptp.empty_set) @t125))) % 0.95/1.14 (assume @p336 (forall @t15 (=> @t33 (forall @t90 (=> @t213 @t117))))) % 0.95/1.14 (assume @p337 (forall @t6 (=> @t67 (= @t156 (forall @t135 (=> (and @t191 @t427) @t203)))))) % 0.95/1.14 (assume @p338 (forall @t51 (=> @t125 (or @t117 (tptp.subset @t1 (tptp.set_difference @t11 @t428)))))) % 0.95/1.14 (assume @p339 (forall @t6 (=> @t381 (forall @t20 (=> @t168 (forall @t90 (=> @t100 (= (tptp.in @t45 @t220) @t255)))))))) % 0.95/1.14 (assume @p340 (forall @t6 (=> @t67 (= @t175 (forall @t135 (not (and @t423 (tptp.in @t45 @t155) @t256 @t429 (not @t427)))))))) % 0.95/1.14 (assume @p341 (forall @t15 (= (tptp.subset @t1 @t430) (or @t194 (= @t1 @t430))))) % 0.95/1.14 (assume @p342 (forall @t15 (=> @t14 (tptp.subset @t1 @t431)))) % 0.95/1.14 (assume @p343 (forall @t187 (= (tptp.in @t285 (tptp.cartesian_product2 @t45 @t115)) (and @t432 (tptp.in @t11 @t115))))) % 0.95/1.14 (assume @p344 (forall @t15 (=> @t259 @t433))) % 0.95/1.14 (assume @p345 (forall @t51 (=> @t297 (= @t435 (and (tptp.in @t11 @t273) @t12))))) % 0.95/1.14 (assume @p346 (exists @t6 (and @t94 @t64 @t63 @t40 @t72))) % 0.95/1.14 (assume @p347 (exists @t6 (and @t94 @t41))) % 0.95/1.14 (assume @p348 (exists @t6 @t152)) % 0.95/1.14 (assume @p349 (forall @t15 (exists @t90 (and @t50 @t69 @t47 @t46)))) % 0.95/1.14 (assume @p350 (exists @t6 (and @t94 @t21 @t23 @t25 @t27 @t29))) % 0.95/1.14 (assume @p351 (exists @t6 (and @t5 @t4))) % 0.95/1.14 (assume @p352 (exists @t6 @t81)) % 0.95/1.14 (assume @p353 (exists @t6 (and @t64 @t63 @t40 @t282))) % 0.95/1.14 (assume @p354 (exists @t6 (and @t67 @t44 @t75 @t30))) % 0.95/1.14 (assume @p355 (exists @t6 (and @t30 @t67))) % 0.95/1.14 (assume @p356 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92))))) % 0.95/1.14 (assume @p357 (forall @t6 (=> @t410 (exists @t20 (and @t168 @t283))))) % 0.95/1.14 (assume @p358 (exists @t6 @t30)) % 0.95/1.14 (assume @p359 (forall @t6 (exists @t20 (and @t33 @t91 @t123 @t86 @t85 @t39 @t38 @t37 @t28 @t74)))) % 0.95/1.14 (assume @p360 (exists @t6 @t77)) % 0.95/1.14 (assume @p361 (forall @t6 (exists @t20 (and @t89 @t123 @t86 @t85 @t84 @t83 @t82)))) % 0.95/1.14 (assume @p362 (exists @t6 (and @t5 @t59 @t4 @t392 @t281 @t288))) % 0.95/1.14 (assume @p363 (exists @t6 (and @t67 @t44 @t75 @t30 @t64 @t63 @t40))) % 0.95/1.14 (assume @p364 (forall @t15 (exists @t90 (and @t50 @t69 @t47)))) % 0.95/1.14 (assume @p365 (exists @t6 @t412)) % 0.95/1.14 (assume @p366 (forall @t6 (exists @t20 (and @t33 @t91)))) % 0.95/1.14 (assume @p367 (forall @t6 (exists @t20 (and @t33 (not @t436))))) % 0.95/1.14 (assume @p368 (forall @t6 (=> @t410 (exists @t20 (and @t168 @t283 @t290))))) % 0.95/1.14 (assume @p369 (exists @t6 @t94)) % 0.95/1.14 (assume @p370 (forall @t6 (=> @t94 (exists @t20 (and @t33 @t92 @t74))))) % 0.95/1.14 (assume @p371 (exists @t6 @t76)) % 0.95/1.14 (assume @p372 (exists @t6 (and @t10 @t9))) % 0.95/1.14 (assume @p373 (exists @t6 (and @t94 @t64 @t63 @t40))) % 0.95/1.14 (assume @p374 (forall @t6 (exists @t20 (and @t89 @t123 @t87 (tptp.symmetric @t11) @t403 @t402 @t88)))) % 0.95/1.14 (assume @p375 (exists @t6 @t375)) % 0.95/1.14 (assume @p376 (exists @t6 (and @t137 @t59))) % 0.95/1.14 (assume @p377 (exists @t6 (and @t67 @t374 @t44))) % 0.95/1.14 (assume @p378 (forall @t6 (=> @t381 (exists @t20 (and @t168 @t92))))) % 0.95/1.14 (assume @p379 (exists @t6 (and @t10 @t59 @t9))) % 0.95/1.14 (assume @p380 (forall @t6 (=> @t410 (exists @t20 (and @t168 @t290))))) % 0.95/1.14 (assume @p381 (forall @t6 (=> @t184 (exists @t20 (and @t168 @t92 @t290))))) % 0.95/1.14 (assume @p382 (exists @t6 (and @t10 @t59 @t9 @t57 @t56 @t55 @t54 @t53 @t52 @t61))) % 0.95/1.14 (assume @p383 (forall @t187 (=> @t332 (= @t328 @t118)))) % 0.95/1.14 (assume @p384 (forall @t187 (=> @t335 (= @t333 @t118)))) % 0.95/1.14 (assume @p385 (forall @t6 (= @t337 @t32))) % 0.95/1.14 (assume @p386 (forall @t15 (=> @t67 (= @t338 @t292)))) % 0.95/1.14 (assume @p387 (forall @t343 (=> @t342 (= @t340 (tptp.apply_binary @t115 @t138 @t244))))) % 0.95/1.14 (assume @p388 (forall @t6 (=> @t235 (= @t233 @t306)))) % 0.95/1.14 (assume @p389 (forall @t51 (=> @t103 (= @t99 @t201)))) % 0.95/1.14 (assume @p390 (forall @t51 (=> @t108 (= @t106 @t160)))) % 0.95/1.14 (assume @p391 (forall @t51 (=> @t50 (= @t196 @t273)))) % 0.95/1.14 (assume @p392 (forall @t51 (=> @t111 (= @t109 @t437)))) % 0.95/1.14 (assume @p393 (forall @t51 (=> @t50 (= @t352 @t272)))) % 0.95/1.14 (assume @p394 (forall @t15 (=> @t312 (= @t353 @t431)))) % 0.95/1.14 (assume @p395 (forall @t51 (=> @t111 (= @t112 @t438)))) % 0.95/1.14 (assume @p396 (forall @t6 (= @t354 @t121))) % 0.95/1.14 (assume @p397 (forall @t15 (=> @t312 (= @t356 @t231)))) % 0.95/1.14 (assume @p398 (forall @t51 (=> @t111 (= @t357 @t439)))) % 0.95/1.14 (assume @p399 (forall @t187 (=> @t360 (= @t359 @t295)))) % 0.95/1.14 (assume @p400 (forall @t51 (= @t197 @t50))) % 0.95/1.14 (assume @p401 (forall @t15 (=> @t114 (= @t113 @t125)))) % 0.95/1.14 (assume @p402 (forall @t15 (= @t275 (tptp.are_equipotent @t1 @t11)))) % 0.95/1.14 (assume @p403 (forall @t51 (=> @t441 (= @t440 @t254)))) % 0.95/1.14 (assume @p404 (forall @t51 (=> @t442 (= (tptp.related_reflexive @t1 @t11 @t45) @t315)))) % 0.95/1.14 (assume @p405 (forall @t15 (=> @t114 (tptp.ordinal_subset @t1 @t1)))) % 0.95/1.14 (assume @p406 (forall @t15 (tptp.subset @t1 @t1))) % 0.95/1.14 (assume @p407 (forall @t15 (tptp.equipotent @t1 @t1))) % 0.95/1.14 (assume @p408 (forall @t51 (=> @t441 (tptp.below_refl @t1 @t11 @t11)))) % 0.95/1.14 (assume @p409 (forall @t51 (=> @t442 (tptp.related_reflexive @t1 @t11 @t11)))) % 0.95/1.14 (assume @p410 (forall @t15 (=> @t460 (=> @t459 (exists @t90 (and @t69 @t47 (forall @t143 (= @t142 (and @t217 @t217 (exists @t447 (and (= @t115 @t444) (tptp.in @t138 @t444) (forall @t446 (=> @t445 (tptp.in (tptp.ordered_pair @t138 @t443) @t11)))))))))))))) % 0.95/1.14 (assume @p411 (forall @t6 (=> @t463 (exists @t20 (and @t123 @t86 (forall @t120 (= @t119 (and @t117 @t117 (= @t115 @t428))))))))) % 0.95/1.14 (assume @p412 (forall @t15 (=> @t476 (=> @t475 (exists @t90 (and @t69 @t47 (forall @t143 (= @t142 (and @t469 @t469 @t467))))))))) % 0.95/1.14 (assume @p413 (forall @t15 (=> @t476 (=> @t477 (exists @t90 (and @t69 @t47 (forall @t143 (= @t142 (and @t141 @t141 @t467))))))))) % 0.95/1.14 (assume @p414 (forall @t6 (=> (exists @t20 (and @t37 @t12)) (exists @t20 (and @t37 @t12 (forall @t90 (=> @t478 (=> @t117 (tptp.ordinal_subset @t11 @t45))))))))) % 0.95/1.14 (assume @p415 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t6 (=> (tptp.element @t1 (tptp.powerset @t502)) (not (and @t218 (forall @t20 (not (and @t12 (forall @t90 (=> (and @t117 @t501) (= @t45 @t11))))))))))) (forall @t130 (=> @t485 (=> @t500 (=> (tptp.in @t499 tptp.omega) (forall @t453 (=> (tptp.element @t450 (tptp.powerset (tptp.powerset @t499))) (not (and (not (= @t450 tptp.empty_set)) (forall @t452 (not (and @t451 (forall @t447 (=> (and (tptp.in @t444 @t450) (tptp.subset @t449 @t444)) (= @t444 @t449)))))))))))))) (forall @t130 (=> @t485 (=> (and (tptp.being_limit_ordinal @t115) (forall @t446 (=> (tptp.ordinal @t443) (=> (tptp.in @t443 @t115) (=> (tptp.in @t443 tptp.omega) (forall @t498 (=> (tptp.element @t494 (tptp.powerset (tptp.powerset @t443))) (not (and (not (= @t494 tptp.empty_set)) (forall @t497 (not (and @t496 (forall @t495 (=> (and (tptp.in @t493 @t494) (tptp.subset @t492 @t493)) (= @t493 @t492))))))))))))))) (or (= @t115 tptp.empty_set) (=> @t484 (forall @t491 (=> (tptp.element @t488 @t482) (not (and (not (= @t488 tptp.empty_set)) (forall @t490 (not (and (tptp.in @t486 @t488) (forall @t489 (=> (and (tptp.in @t487 @t488) (tptp.subset @t486 @t487)) (= @t487 @t486)))))))))))))))) (forall @t130 (=> @t485 (=> @t484 (forall @t483 (=> (tptp.element @t481 @t482) (not (and (not (= @t481 tptp.empty_set)) (forall (@list @t479) (not (and (tptp.in @t479 @t481) (forall (@list @t480) (=> (and (tptp.in @t480 @t481) (tptp.subset @t479 @t480)) (= @t480 @t479))))))))))))))) % 0.95/1.14 (assume @p416 (forall @t51 (=> @t506 (exists @t130 (and @t505 (forall @t247 (= (tptp.in @t245 @t115) (and @t153 @t504 (tptp.in (tptp.ordered_pair @t294 @t503) @t11))))))))) % 0.95/1.14 (assume @p417 (forall @t15 (=> @t460 (=> @t459 (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t153 @t153 (exists @t447 (and (= @t138 @t444) @t508 @t507))))))))))) % 0.95/1.14 (assume @p418 (forall @t15 (=> @t460 (forall @t90 (=> (forall @t422 (=> (and @t448 (exists @t519 (and @t518 @t516 (exists @t452 (and (= @t455 @t449) (tptp.in @t450 @t449) (forall @t447 (=> @t515 (tptp.in (tptp.ordered_pair @t450 @t444) @t11))))))) @t514 (exists @t513 (and (= @t512 @t244) (tptp.in @t443 @t1) (exists @t497 (and (= @t443 @t492) (tptp.in @t494 @t492) (forall @t495 (=> (tptp.in @t493 @t492) (tptp.in (tptp.ordered_pair @t494 @t493) @t11)))))))) @t511)) (exists @t130 (forall @t148 (= @t186 (exists @t307 (and (tptp.in @t244 @t510) @t509 (exists (@list @t488 @t486) (and (= (tptp.ordered_pair @t488 @t486) @t138) (tptp.in @t488 @t1) (exists @t489 (and (= @t488 @t487) (tptp.in @t486 @t487) (forall @t483 (=> (tptp.in @t481 @t487) (tptp.in (tptp.ordered_pair @t486 @t481) @t11))))))))))))))))) % 0.95/1.14 (assume @p419 @t558) % 0.95/1.14 (assume @p420 (forall @t6 (=> @t463 (exists @t20 (forall @t90 (= @t213 (exists @t130 (and @t217 @t217 (= @t45 (tptp.singleton @t115)))))))))) % 0.95/1.14 (assume @p421 (forall @t15 (=> (forall @t309 (=> (and @t116 (exists @t565 (and (= @t564 @t115) @t504 (= @t455 (tptp.singleton @t244)))) @t563 (exists (@list @t450 @t449) (and (= (tptp.ordered_pair @t450 @t449) @t138) @t562 (= @t449 (tptp.singleton @t450))))) @t448)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t70) @t561 (exists @t560 (and (= @t559 @t115) (tptp.in @t444 @t1) (= @t443 (tptp.singleton @t444)))))))))))) % 0.95/1.14 (assume @p422 (forall @t6 (=> @t40 (=> (forall @t192 (=> (and @t203 (exists @t148 (and @t567 @t563 (=> (tptp.in @t138 tptp.omega) (forall @t307 (=> (tptp.element @t244 (tptp.powerset (tptp.powerset @t138))) @t566))))) @t236 (exists @t452 (and (tptp.ordinal @t449) (= @t115 @t449) (=> (tptp.in @t449 tptp.omega) (forall @t447 (=> (tptp.element @t444 (tptp.powerset (tptp.powerset @t449))) (not (and (not (= @t444 tptp.empty_set)) (forall @t446 (not (and @t445 (forall @t498 (=> (and (tptp.in @t494 @t444) (tptp.subset @t443 @t494)) (= @t494 @t443)))))))))))))) @t116)) (exists @t20 (forall @t90 (= @t213 (exists @t130 (and (tptp.in @t115 @t207) @t299 (exists @t497 (and (tptp.ordinal @t492) (= @t45 @t492) (=> (tptp.in @t492 tptp.omega) (forall @t495 (=> (tptp.element @t493 (tptp.powerset (tptp.powerset @t492))) (not (and (not (= @t493 tptp.empty_set)) (forall @t491 (not (and (tptp.in @t488 @t493) (forall @t490 (=> (and (tptp.in @t486 @t493) (tptp.subset @t488 @t486)) (= @t486 @t488)))))))))))))))))))))) % 0.95/1.14 (assume @p423 (forall @t15 (=> @t393 (=> (forall @t309 (=> (and @t116 (exists @t307 (and @t473 @t570 (tptp.closed_subset @t244 @t1) @t568)) @t563 (exists @t457 (and @t470 @t548 (tptp.closed_subset @t455 @t1) (tptp.subset @t11 @t138)))) @t448)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t569 @t561 (exists @t453 (and @t466 @t465 (tptp.closed_subset @t450 @t1) @t568))))))))))) % 0.95/1.14 (assume @p424 (forall @t15 (=> @t572 (=> (forall @t309 (=> (and @t116 @t571 @t563 (tptp.in (tptp.set_difference @t258 @t138) @t11)) @t448)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t569 @t561 @t571))))))))) % 0.95/1.14 (assume @p425 (forall @t15 (=> @t574 (=> (forall @t309 (=> (and @t116 (exists @t307 (and @t246 (= @t115 (tptp.set_difference @t244 @t206)))) @t563 (exists @t457 (and @t573 (= @t138 (tptp.set_difference @t455 @t206))))) @t448)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t32) @t561 (exists @t453 (and @t544 (= @t115 (tptp.set_difference @t450 @t206))))))))))))) % 0.95/1.14 (assume @p426 (forall @t15 (=> @t476 (=> @t475 (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t577 @t577 @t576))))))))) % 0.95/1.14 (assume @p427 (forall @t15 (=> @t476 (forall @t90 (=> (forall @t422 (=> (and @t448 (exists @t519 (and @t518 (tptp.in @t455 @t468) @t586)) @t514 (exists @t560 (and @t583 (tptp.in @t444 @t468) @t582))) @t511)) (exists @t130 (forall @t148 (= @t186 (exists @t307 (and (tptp.in @t244 @t581) @t509 (exists @t580 (and @t579 (tptp.in @t492 @t468) @t578)))))))))))) % 0.95/1.14 (assume @p428 (forall @t15 (=> @t476 (=> @t477 (exists @t90 (forall @t130 (= @t149 (exists @t148 (and @t146 @t146 @t576))))))))) % 0.95/1.14 (assume @p429 (forall @t15 (=> @t476 (forall @t90 (=> (forall @t422 (=> (and @t448 (exists @t519 (and @t518 @t573 @t586)) @t514 (exists @t560 (and @t583 @t536 @t582))) @t511)) (exists @t130 (forall @t148 (= @t186 (exists @t307 (and (tptp.in @t244 @t587) @t509 (exists @t580 (and @t579 (tptp.in @t492 @t11) @t578)))))))))))) % 0.95/1.14 (assume @p430 (forall @t51 (=> @t506 (=> (forall @t422 (=> (and @t448 (exists @t519 (and (= @t138 @t517) (tptp.in (tptp.ordered_pair @t588 (tptp.apply @t45 @t450)) @t11))) @t514 (exists (@list @t449 @t444) (and (= @t244 (tptp.ordered_pair @t449 @t444)) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t449) (tptp.apply @t45 @t444)) @t11)))) @t511)) (exists @t130 (forall @t148 (= @t186 (exists @t307 (and (tptp.in @t244 @t321) @t509 (exists @t513 (and (= @t138 @t512) (tptp.in (tptp.ordered_pair (tptp.apply @t45 @t443) (tptp.apply @t45 @t494)) @t11)))))))))))) % 0.95/1.14 (assume @p431 (forall @t6 (=> (forall @t192 (=> (and @t203 @t478 @t236 @t485) @t116)) (exists @t20 (forall @t90 (= @t213 (exists @t130 (and @t217 @t299 @t478)))))))) % 0.95/1.14 (assume @p432 (forall @t51 (=> @t591 (=> (forall @t422 (=> (and @t448 @t589 @t514 (tptp.in (tptp.relation_image @t45 @t244) @t11)) @t511)) (exists @t130 (forall @t148 (= @t186 (exists @t307 (and (tptp.in @t244 @t590) @t509 @t589))))))))) % 0.95/1.14 (assume @p433 (forall @t15 (=> @t37 (=> (forall @t309 (=> (and @t116 (exists @t307 (and (tptp.ordinal @t244) @t514 @t504)) @t563 (exists @t457 (and (tptp.ordinal @t455) @t593 @t516))) @t448)) (exists @t90 (forall @t130 (= @t149 (exists @t148 (and (tptp.in @t138 @t592) @t561 (exists @t453 (and (tptp.ordinal @t450) (= @t115 @t450) @t562))))))))))) % 0.95/1.14 (assume @p434 (forall @t15 (=> @t460 (forall @t90 (exists @t130 (forall @t148 (= @t186 (and (tptp.in @t138 @t510) (exists @t565 (and @t594 @t504 (exists @t453 (and (= @t244 @t450) (tptp.in @t455 @t450) (forall @t452 (=> @t451 (tptp.in (tptp.ordered_pair @t455 @t449) @t11))))))))))))))) % 0.95/1.14 (assume @p435 @t608) % 0.95/1.14 (assume @p436 (forall @t15 (exists @t90 (forall @t130 (= @t149 (and (tptp.in @t115 @t70) (exists @t247 (and (= @t245 @t115) @t153 (= @t244 (tptp.singleton @t138)))))))))) % 0.95/1.14 (assume @p437 (forall @t6 (=> @t40 (exists @t20 (forall @t90 (= @t213 (and (tptp.in @t45 @t207) (exists @t130 (and @t485 @t116 @t500))))))))) % 0.95/1.14 (assume @p438 (forall @t15 (=> @t393 (exists @t90 (forall @t130 (= @t149 (and @t610 @t609))))))) % 0.95/1.14 (assume @p439 (forall @t15 (=> @t572 (exists @t90 (forall @t130 (= @t149 (and @t610 @t571))))))) % 0.95/1.14 (assume @p440 (forall @t15 (=> @t574 (exists @t90 (forall @t130 (= @t149 (and (tptp.in @t115 @t32) (exists @t148 (and @t146 (= @t115 (tptp.set_difference @t138 @t206))))))))))) % 0.95/1.14 (assume @p441 (forall @t15 (=> @t476 (forall @t90 (exists @t130 (forall @t148 (= @t186 (and (tptp.in @t138 @t581) (exists @t565 (and @t594 (tptp.in @t244 @t468) @t611)))))))))) % 0.95/1.14 (assume @p442 (forall @t15 (=> @t476 (forall @t90 (exists @t130 (forall @t148 (= @t186 (and (tptp.in @t138 @t587) (exists @t565 (and @t594 @t246 @t611)))))))))) % 0.95/1.14 (assume @p443 (forall @t51 (=> @t506 (exists @t130 (forall @t148 (= @t186 (and (tptp.in @t138 @t321) (exists @t565 (and (= @t138 @t564) (tptp.in (tptp.ordered_pair @t503 @t588) @t11)))))))))) % 0.95/1.14 (assume @p444 (forall @t6 (exists @t20 (forall @t90 (= @t213 (and @t117 @t478)))))) % 0.95/1.14 (assume @p445 (forall @t51 (=> @t591 (exists @t130 (forall @t148 (= @t186 (and (tptp.in @t138 @t590) @t589))))))) % 0.95/1.14 (assume @p446 (forall @t15 (=> @t37 (exists @t90 (forall @t130 (= @t149 (and (tptp.in @t115 @t592) (exists @t148 (and @t567 @t448 @t153))))))))) % 0.95/1.14 (assume @p447 (forall @t15 (=> @t460 (=> (and (forall @t309 (=> (and @t117 @t458 @t454) @t448)) (forall @t90 (not (and @t117 (forall @t130 (not (exists @t447 (and (= @t45 @t444) @t508 @t507)))))))) (exists @t90 (and @t69 @t47 @t274 (forall @t130 (=> @t217 (exists @t498 (and (= @t115 @t494) (tptp.in @t295 @t494) (forall @t497 (=> @t496 (tptp.in (tptp.ordered_pair @t295 @t492) @t11))))))))))))) % 0.95/1.14 (assume @p448 (forall @t6 (=> (and (forall @t192 (=> (and @t12 @t462 @t461) @t116)) (forall @t20 (not (and @t12 (forall @t90 (not @t462)))))) @t614))) % 0.95/1.14 (assume @p449 (forall @t15 (=> @t476 (=> (and (forall @t309 (=> (and @t472 @t474 @t471) @t448)) (forall @t90 (not (and @t472 @t616)))) (exists @t90 (and @t69 @t47 (= @t273 @t468) (forall @t130 (=> @t469 @t615)))))))) % 0.95/1.14 (assume @p450 (forall @t15 (=> @t476 (=> (and (forall @t309 (=> (and @t213 @t474 @t471) @t448)) (forall @t90 (not (and @t213 @t616)))) (exists @t90 (and @t69 @t47 (= @t273 @t11) (forall @t130 (=> @t141 @t615)))))))) % 0.95/1.14 (assume @p451 (=> (forall @t6 (=> @t40 (=> (forall @t20 (=> @t37 (=> @t12 (=> (tptp.in @t11 tptp.omega) (forall @t90 (=> (tptp.element @t45 (tptp.powerset @t351)) (not (and @t260 (forall @t130 (not (and @t149 (forall @t148 (=> (and (tptp.in @t138 @t45) (tptp.subset @t115 @t138)) @t561))))))))))))) (=> @t617 (forall @t307 (=> (tptp.element @t244 @t311) @t566)))))) (forall @t6 (=> @t40 (=> @t617 (forall @t452 (=> (tptp.element @t449 @t311) (not (and (not (= @t449 tptp.empty_set)) (forall @t447 (not (and @t515 (forall @t446 (=> (and (tptp.in @t443 @t449) (tptp.subset @t444 @t443)) (= @t443 @t444))))))))))))))) % 0.95/1.14 (assume @p452 (forall @t6 @t614)) % 0.95/1.14 (assume @p453 (forall @t15 (=> @t393 (exists @t90 (and @t250 (forall @t130 (=> @t618 (= @t149 @t609)))))))) % 0.95/1.14 (assume @p454 (forall @t15 (=> @t572 (exists @t90 (and @t250 (forall @t130 (=> @t618 (= @t149 @t571)))))))) % 0.95/1.14 (assume @p455 (forall @t15 (=> @t298 (tptp.disjoint @t11 @t1)))) % 0.95/1.14 (assume @p456 (forall @t15 (=> @t275 (tptp.equipotent @t11 @t1)))) % 0.95/1.14 (assume @p457 (forall @t6 (tptp.in @t1 @t207))) % 0.95/1.14 (assume @p458 (forall @t15 (=> @t312 (and @t620 (not (and (not @t619) @t195)))))) % 0.95/1.14 (assume @p459 (forall @t187 (not (and (= @t96 (tptp.unordered_pair @t45 @t115)) (not @t419) (not @t417))))) % 0.95/1.14 (assume @p460 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t11 @t45))) (and @t14 (tptp.in @t1 @t272)))))) % 0.95/1.14 (assume @p461 (forall @t15 (=> @t123 (tptp.subset @t621 @t1)))) % 0.95/1.14 (assume @p462 (forall @t15 (=> @t123 (tptp.subset @t154 @t11)))) % 0.95/1.14 (assume @p463 (forall @t15 (=> @t123 (tptp.subset @t621 @t189)))) % 0.95/1.14 (assume @p464 (forall @t51 (=> @t125 (and (tptp.subset @t510 @t587) (tptp.subset (tptp.cartesian_product2 @t45 @t1) (tptp.cartesian_product2 @t45 @t11)))))) % 0.95/1.14 (assume @p465 (forall @t15 (=> @t123 (= @t621 (tptp.set_intersection2 @t189 @t1))))) % 0.95/1.14 (assume @p466 (forall @t187 (=> (and @t125 @t225) (tptp.subset @t510 (tptp.cartesian_product2 @t11 @t115))))) % 0.95/1.14 (assume @p467 (forall @t15 (=> @t312 (=> @t232 (= @t622 (tptp.subset_complement @t1 @t353)))))) % 0.95/1.14 (assume @p468 (forall @t51 (=> @t197 (and (tptp.subset @t273 @t1) (tptp.subset @t272 @t11))))) % 0.95/1.14 (assume @p469 (forall @t15 (=> @t312 (=> @t232 (= @t623 (tptp.subset_complement @t1 @t356)))))) % 0.95/1.14 (assume @p470 (forall @t15 (=> @t125 (= @t98 @t11)))) % 0.95/1.14 (assume @p471 (forall @t6 (exists @t20 (and @t14 @t625 (forall @t90 (=> @t213 (tptp.in @t528 @t11))) @t624)))) % 0.95/1.14 (assume @p472 (forall @t6 (=> @t184 (= @t252 (forall @t20 (=> @t212 (not (and (tptp.centered @t11) @t242 (= @t626 tptp.empty_set))))))))) % 0.95/1.14 (assume @p473 (forall @t15 (=> (and @t125 @t74) @t41))) % 0.95/1.14 (assume @p474 (forall @t6 (=> @t137 (forall @t20 (=> @t212 (= (tptp.finite @t468) @t74)))))) % 0.95/1.14 (assume @p475 (forall @t51 (=> @t69 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t45) @t11) (tptp.relation_rng_restriction @t1 @t627))))) % 0.95/1.14 (assume @p476 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_image @t45 @t11)) (exists @t130 (and (tptp.in @t115 @t273) (tptp.in (tptp.ordered_pair @t115 @t1) @t45) @t141)))))) % 0.95/1.14 (assume @p477 (forall @t15 (=> @t123 (tptp.subset @t628 @t189)))) % 0.95/1.14 (assume @p478 (forall @t15 (=> @t409 (tptp.subset @t630 @t1)))) % 0.95/1.14 (assume @p479 (forall @t15 (=> @t123 (= @t628 (tptp.relation_image @t11 @t631))))) % 0.95/1.14 (assume @p480 (forall @t15 (=> @t123 (=> (tptp.subset @t1 @t188) (tptp.subset @t1 (tptp.relation_inverse_image @t11 @t628)))))) % 0.95/1.14 (assume @p481 (forall @t6 (=> @t67 (= (tptp.relation_image @t1 @t147) @t279)))) % 0.95/1.14 (assume @p482 (forall @t15 (=> @t409 (=> @t632 (= @t630 @t1))))) % 0.95/1.14 (assume @p483 (forall @t187 (=> @t635 (=> (tptp.subset @t634 @t11) @t633)))) % 0.95/1.14 (assume @p484 (forall @t6 (=> @t137 (forall @t20 (=> @t168 (= (tptp.subset_intersection2 @t3 @t11 @t258) @t11)))))) % 0.95/1.14 (assume @p485 (forall @t6 (=> @t636 (forall @t20 (= @t305 (exists @t90 (and @t100 @t304 @t303))))))) % 0.95/1.14 (assume @p486 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (= @t637 (tptp.relation_image @t11 @t279))))))) % 0.95/1.14 (assume @p487 (forall @t51 (=> @t69 (= (tptp.in @t1 @t638) (exists @t130 (and (tptp.in @t115 @t272) (tptp.in (tptp.ordered_pair @t1 @t115) @t45) @t141)))))) % 0.95/1.14 (assume @p488 (forall @t15 (=> @t123 (tptp.subset @t629 @t188)))) % 0.95/1.14 (assume @p489 (forall @t187 (=> @t635 (=> @t125 @t633)))) % 0.95/1.14 (assume @p490 (forall @t6 (=> @t169 (forall @t20 (=> @t212 (= @t242 (tptp.open_subsets @t468 @t1))))))) % 0.95/1.14 (assume @p491 (forall @t51 (=> @t69 (= (tptp.in @t1 @t639) (and @t432 (tptp.in @t1 @t291)))))) % 0.95/1.14 (assume @p492 (forall @t6 (=> @t636 (forall @t20 (= @t134 (exists @t90 (and @t100 @t132 @t131))))))) % 0.95/1.14 (assume @p493 (forall @t15 (=> @t123 (not (and @t218 @t632 (= @t629 tptp.empty_set)))))) % 0.95/1.14 (assume @p494 (forall @t51 (=> @t69 (=> @t125 (tptp.subset (tptp.relation_inverse_image @t45 @t1) @t638))))) % 0.95/1.14 (assume @p495 (forall @t15 (=> @t409 (=> @t41 (tptp.finite @t628))))) % 0.95/1.14 (assume @p496 (forall @t6 (=> @t137 (forall @t20 (=> @t168 (= @t220 @t289)))))) % 0.95/1.14 (assume @p497 (forall @t6 (=> @t169 (forall @t20 (=> @t212 (= @t223 (tptp.closed_subsets @t468 @t1))))))) % 0.95/1.14 (assume @p498 (forall @t15 (=> @t123 (= @t640 (tptp.relation_dom_restriction @t154 @t1))))) % 0.95/1.14 (assume @p499 (forall @t15 (tptp.subset @t105 @t1))) % 0.95/1.14 (assume @p500 (forall @t6 (=> @t41 (forall @t20 (=> @t312 (not (and @t232 (forall @t90 (not (and @t213 (forall @t130 (=> (and @t141 @t225) @t299)))))))))))) % 0.95/1.14 (assume @p501 (forall @t15 (=> @t123 (= @t640 (tptp.relation_rng_restriction @t1 @t641))))) % 0.95/1.14 (assume @p502 (forall @t51 (=> @t69 (=> (tptp.in @t1 (tptp.relation_field @t639)) (and @t643 @t14))))) % 0.95/1.14 (assume @p503 (forall @t51 (=> (and @t125 @t644) (tptp.subset @t1 @t438)))) % 0.95/1.14 (assume @p504 (forall @t6 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.95/1.14 (assume @p505 (forall @t15 (=> @t647 (forall @t90 (=> @t646 (and (= (tptp.join @t199 @t11 @t45) @t437) (= (tptp.meet @t199 @t11 @t45) @t438))))))) % 0.95/1.14 (assume @p506 (forall @t15 (=> @t14 @t648))) % 0.95/1.14 (assume @p507 (forall @t51 (=> (and @t125 @t501) @t644))) % 0.95/1.14 (assume @p508 (= @t502 (tptp.singleton tptp.empty_set))) % 0.95/1.14 (assume @p509 (forall @t51 (=> @t69 (=> @t650 (and @t649 (tptp.in @t11 @t272)))))) % 0.95/1.14 (assume @p510 (forall @t15 (=> @t123 (and (tptp.subset @t651 @t226) (tptp.subset @t651 @t1))))) % 0.95/1.14 (assume @p511 (forall @t15 (=> @t409 (forall @t90 (=> @t297 (= @t654 (and @t649 (tptp.in @t652 @t188)))))))) % 0.95/1.14 (assume @p512 (forall @t187 (=> @t656 (forall @t148 (=> (and (tptp.relation @t138) (tptp.function @t138)) (=> @t117 (or @t195 (= (tptp.apply (tptp.relation_composition @t115 @t138) @t45) (tptp.apply @t138 @t655))))))))) % 0.95/1.14 (assume @p513 (forall @t6 (=> @t64 (forall @t20 (=> @t37 (=> @t17 @t14)))))) % 0.95/1.14 (assume @p514 (forall @t6 (=> @t67 (tptp.subset @t1 (tptp.cartesian_product2 @t147 @t279))))) % 0.95/1.14 (assume @p515 (forall @t51 (=> @t69 (tptp.subset (tptp.fiber (tptp.relation_restriction @t45 @t1) @t11) (tptp.fiber @t45 @t11))))) % 0.95/1.14 (assume @p516 (forall @t15 (=> @t409 (forall @t90 (=> @t297 (=> @t654 (= (tptp.apply @t653 @t1) (tptp.apply @t11 @t652)))))))) % 0.95/1.14 (assume @p517 (forall @t6 (=> @t137 (forall @t20 (=> @t168 (= (tptp.subset_difference @t3 @t258 @t289) @t11)))))) % 0.95/1.14 (assume @p518 (forall @t51 (=> (tptp.relation_of2_as_subset @t45 @t11 @t1) (= (forall @t130 (not (and @t141 (forall @t148 (not @t142))))) (= (tptp.relation_dom_as_subset @t11 @t1 @t45) @t11))))) % 0.95/1.14 (assume @p519 (forall @t15 (=> @t123 (=> @t87 (tptp.reflexive @t640))))) % 0.95/1.14 (assume @p520 (forall @t15 (=> @t409 (forall @t90 (=> @t297 (=> (tptp.in @t1 @t188) (= (tptp.apply (tptp.relation_composition @t11 @t45) @t1) (tptp.apply @t45 (tptp.apply @t11 @t1))))))))) % 0.95/1.14 (assume @p521 (forall @t6 (=> (and @t59 @t55 @t53 @t10) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (tptp.below @t1 @t106 @t11)))))))) % 0.95/1.14 (assume @p522 (forall @t15 (=> @t37 (=> @t14 @t40)))) % 0.95/1.14 (assume @p523 (forall @t51 (=> @t197 (= (forall @t130 (not (and @t141 (forall @t148 (not (tptp.in @t170 @t45)))))) (= @t352 @t11))))) % 0.95/1.14 (assume @p524 (forall @t15 (=> @t123 (=> @t657 (tptp.connected @t640))))) % 0.95/1.14 (assume @p525 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (not (and @t425 @t313 @t13))))))) % 0.95/1.14 (assume @p526 (forall @t15 (=> @t123 (=> @t402 (tptp.transitive @t640))))) % 0.95/1.14 (assume @p527 (forall @t6 (=> @t636 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t315 (tptp.related @t1 @t45 @t11)) @t203)))))))) % 0.95/1.14 (assume @p528 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> @t125 (and (tptp.subset @t147 @t188) (tptp.subset @t279 @t189)))))))) % 0.95/1.14 (assume @p529 (forall @t15 (=> @t123 (=> @t403 (tptp.antisymmetric @t640))))) % 0.95/1.14 (assume @p530 (forall @t15 (=> @t123 (=> @t660 (and @t659 @t658))))) % 0.95/1.14 (assume @p531 (forall @t6 (=> @t152 (=> (tptp.finite @t147) (tptp.finite @t279))))) % 0.95/1.14 (assume @p532 (forall @t6 (=> @t391 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (=> (and @t254 (tptp.below @t1 @t45 @t11)) @t203)))))))) % 0.95/1.14 (assume @p533 (forall @t6 (=> (and @t281 @t5) (forall @t20 (=> @t101 (forall @t90 (=> @t100 (forall @t130 (=> @t129 (=> (and @t315 @t302) @t661)))))))))) % 0.95/1.14 (assume @p534 (forall @t6 (exists @t20 (and @t123 @t660)))) % 0.95/1.14 (assume @p535 (forall @t51 (=> @t125 (tptp.subset (tptp.set_intersection2 @t1 @t45) @t438)))) % 0.95/1.14 (assume @p536 (forall @t15 (=> @t416 (forall @t90 (=> @t415 (= (tptp.latt_set_smaller @t11 @t45 @t1) (tptp.relstr_element_smaller @t663 @t1 @t662))))))) % 0.95/1.14 (assume @p537 (forall @t6 (=> @t94 (not (and (forall @t20 (not (and @t12 @t195))) (forall @t20 (=> @t409 (not (and @t613 (forall @t90 (=> @t117 (tptp.in @t612 @t45)))))))))))) % 0.95/1.14 (assume @p538 (forall @t15 (=> @t125 (= @t105 @t1)))) % 0.95/1.14 (assume @p539 (forall @t15 (=> @t416 (forall @t90 (=> @t665 (= (tptp.relstr_element_smaller @t663 @t1 @t45) (tptp.latt_set_smaller @t11 @t664 @t1))))))) % 0.95/1.14 (assume @p540 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t290 @t404)))))) % 0.95/1.14 (assume @p541 (forall @t6 (=> @t229 (forall @t20 (and (= @t228 (tptp.join_on_relstr @t234 @t11)) (= @t230 (tptp.meet_on_relstr @t234 @t11))))))) % 0.95/1.14 (assume @p542 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.95/1.14 (assume @p543 (forall @t15 (=> @t647 (forall @t90 (=> @t646 (= (tptp.below @t199 @t11 @t45) @t501)))))) % 0.95/1.14 (assume @p544 (forall @t15 (=> @t648 (or @t91 @t14)))) % 0.95/1.14 (assume @p545 (forall @t15 (=> (forall @t90 (= @t117 @t213)) @t126))) % 0.95/1.14 (assume @p546 (forall @t6 (tptp.reflexive @t227))) % 0.95/1.14 (assume @p547 (forall @t6 (tptp.subset tptp.empty_set @t1))) % 0.95/1.14 (assume @p548 (forall @t15 (=> @t416 (forall @t90 (=> @t415 (= (tptp.latt_element_smaller @t11 @t45 @t1) (tptp.relstr_set_smaller @t663 @t1 @t662))))))) % 0.95/1.14 (assume @p549 (forall @t51 (=> @t69 (=> @t650 (and @t643 (tptp.in @t11 @t642)))))) % 0.95/1.14 (assume @p550 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (= @t283 @t408)))))) % 0.95/1.14 (assume @p551 (forall @t6 (=> @t636 (forall @t20 (=> @t101 (forall @t90 (and (=> @t666 @t667) (=> @t667 @t666)))))))) % 0.95/1.14 (assume @p552 (forall @t15 (=> @t416 (forall @t90 (=> @t665 (= (tptp.relstr_set_smaller @t663 @t1 @t45) (tptp.latt_element_smaller @t11 @t664 @t1))))))) % 0.95/1.14 (assume @p553 (forall @t6 (=> (forall @t20 (=> @t12 (and @t37 @t124))) @t40))) % 0.95/1.14 (assume @p554 (forall @t15 (=> @t123 (=> @t668 (tptp.well_founded_relation @t640))))) % 0.95/1.14 (assume @p555 (forall @t6 (=> @t235 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= (tptp.in (tptp.ordered_pair_as_product_element @t3 @t3 @t11 @t45) @t306) @t440)))))))) % 0.95/1.14 (assume @p556 (forall @t15 (=> @t37 (not (and @t125 @t218 (forall @t90 (=> @t478 (not (and @t117 (forall @t130 (=> @t485 (=> @t217 (tptp.ordinal_subset @t45 @t115))))))))))))) % 0.95/1.14 (assume @p557 (forall @t15 (=> @t123 (=> @t426 @t658)))) % 0.95/1.14 (assume @p558 (forall @t6 (=> @t40 (forall @t20 (=> @t37 (= @t14 (tptp.ordinal_subset @t207 @t11))))))) % 0.95/1.14 (assume @p559 (forall @t51 (=> @t125 (tptp.subset (tptp.set_difference @t1 @t45) @t439)))) % 0.95/1.14 (assume @p560 (forall @t187 (=> (= @t285 @t118) @t420))) % 0.95/1.14 (assume @p561 (forall @t15 (=> @t409 (= @t122 (and @t613 (forall @t90 (=> @t117 (= @t612 @t45)))))))) % 0.95/1.14 (assume @p562 (forall @t6 (=> @t229 (forall @t20 (=> @t101 (forall @t90 (= (= @t11 (tptp.meet_of_latt_set @t1 @t45)) (and @t177 (forall @t130 (=> @t129 (=> (tptp.latt_set_smaller @t1 @t115 @t45) (tptp.below_refl @t1 @t115 @t11)))))))))))) % 0.95/1.14 (assume @p563 (forall @t15 (=> @t12 (= (tptp.apply @t121 @t11) @t11)))) % 0.95/1.14 (assume @p564 (forall @t15 (tptp.subset @t276 @t1))) % 0.95/1.14 (assume @p565 (forall @t6 (=> @t67 (and (= @t279 (tptp.relation_dom @t293)) (= @t147 (tptp.relation_rng @t293)))))) % 0.95/1.14 (assume @p566 (forall @t51 (= (tptp.subset @t96 @t45) (and @t432 @t257)))) % 0.95/1.14 (assume @p567 (forall @t15 (=> @t123 (=> (and @t426 (tptp.subset @t1 @t226)) @t659)))) % 0.95/1.14 (assume @p568 (forall @t15 (= @t669 @t98))) % 0.95/1.14 (assume @p569 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.95/1.14 (assume @p570 (forall @t6 (and (tptp.lower_bounded_semilattstr @t199) (= (tptp.bottom_of_semilattstr @t199) tptp.empty_set)))) % 0.95/1.14 (assume @p571 (forall @t51 (not (and @t14 @t257 @t117)))) % 0.95/1.14 (assume @p572 (forall @t15 (= @t433 @t125))) % 0.95/1.14 (assume @p573 (forall @t6 (tptp.transitive @t227))) % 0.95/1.14 (assume @p574 (forall @t15 (and (not (and @t671 (forall @t90 (not @t670)))) (not (and (exists @t90 @t670) @t298))))) % 0.95/1.14 (assume @p575 (forall @t6 (=> (tptp.subset @t1 tptp.empty_set) @t194))) % 0.95/1.14 (assume @p576 (forall @t15 (= (tptp.set_difference @t98 @t11) @t276))) % 0.95/1.14 (assume @p577 (forall @t6 (=> @t40 (= @t282 (forall @t20 (=> @t37 (=> @t12 (tptp.in @t592 @t1)))))))) % 0.95/1.14 (assume @p578 (forall @t6 (=> @t40 (and (not (and (not @t282) (forall @t20 (=> @t37 (not @t672))))) (not (and (exists @t20 (and @t37 @t672)) @t282)))))) % 0.95/1.14 (assume @p579 (forall @t6 (=> @t673 (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t3))))) % 0.95/1.14 (assume @p580 (forall @t15 (=> @t33 (forall @t90 (=> @t110 (= @t675 (tptp.subset @t11 @t674))))))) % 0.95/1.14 (assume @p581 (forall @t6 (=> @t410 (forall @t20 (=> @t212 (=> @t241 (tptp.closed_subset @t626 @t1))))))) % 0.95/1.14 (assume @p582 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t676 @t147)))))) % 0.95/1.14 (assume @p583 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (tptp.subset @t221 @t11)))))) % 0.95/1.14 (assume @p584 (forall @t6 (=> @t673 (forall @t20 (=> @t101 (tptp.related @t1 @t145 @t11)))))) % 0.95/1.14 (assume @p585 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (forall @t90 (=> (tptp.in @t45 @t3) (= (tptp.in @t45 @t166) (forall @t130 (=> @t618 (=> @t677 @t216))))))))))) % 0.95/1.14 (assume @p586 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (tptp.subset @t637 @t189)))))) % 0.95/1.14 (assume @p587 (forall @t15 (=> @t125 (= @t11 @t669)))) % 0.95/1.14 (assume @p588 (forall @t187 (=> @t656 (=> @t232 (forall @t148 (= (tptp.in @t138 (tptp.relation_inverse_image @t115 @t45)) (and @t153 (tptp.in (tptp.apply @t115 @t138) @t45)))))))) % 0.95/1.14 (assume @p589 (forall @t6 (=> @t410 (forall @t20 (=> @t168 (exists @t90 (and @t250 (forall @t130 (=> @t618 (= @t149 @t677))) (= @t166 (tptp.meet_of_subsets @t3 @t45))))))))) % 0.95/1.14 (assume @p590 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t279 @t188) (= @t676 @t147))))))) % 0.95/1.14 (assume @p591 (forall @t15 (=> @t312 @t620))) % 0.95/1.14 (assume @p592 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (=> (tptp.subset @t147 @t189) (= (tptp.relation_rng @t369) @t279))))))) % 0.95/1.14 (assume @p593 (forall @t15 (=> @t312 (=> @t232 (= (tptp.subset_difference @t1 @t270 @t353) @t622))))) % 0.95/1.14 (assume @p594 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (tptp.subset @t11 @t166)))))) % 0.95/1.14 (assume @p595 (forall @t15 (=> @t312 (=> @t232 (= @t623 (tptp.subset_difference @t1 @t270 @t356)))))) % 0.95/1.14 (assume @p596 (forall @t15 (= (tptp.set_difference @t1 @t276) @t105))) % 0.95/1.14 (assume @p597 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t297 (=> @t296 (tptp.relation_isomorphism @t11 @t1 (tptp.function_inverse @t45)))))))))) % 0.95/1.14 (assume @p598 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.95/1.14 (assume @p599 (forall @t51 (=> (and @t14 @t678) (tptp.element @t1 @t45)))) % 0.95/1.14 (assume @p600 (forall @t6 (=> @t40 (tptp.connected @t227)))) % 0.95/1.14 (assume @p601 (forall @t15 (and (not (and @t671 (forall @t90 (not @t679)))) (not (and (exists @t90 @t679) @t298))))) % 0.95/1.14 (assume @p602 (forall @t6 (=> @t229 (and @t59 @t61 @t162 @t10 (= @t179 (tptp.join_of_latt_set @t1 tptp.empty_set)))))) % 0.95/1.14 (assume @p603 (forall @t6 (=> @t218 (forall @t20 (=> @t33 (forall @t90 (=> @t334 (=> @t255 (tptp.in @t45 @t284))))))))) % 0.95/1.14 (assume @p604 (forall @t6 (=> @t410 (forall @t20 (=> @t168 @t414))))) % 0.95/1.14 (assume @p605 (forall @t6 (=> @t169 (forall @t20 (=> @t168 (and (=> @t290 @t680) (=> (and @t183 @t680) @t290))))))) % 0.95/1.14 (assume @p606 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t297 (=> @t296 (and (=> @t66 @t87) (=> @t68 @t402) (=> @t175 @t657) (=> @t156 @t403) (=> @t243 @t668)))))))))) % 0.95/1.14 (assume @p607 (forall @t6 (=> @t152 (=> @t75 (forall @t20 (=> @t409 (= (= @t11 @t314) (and (= @t188 @t279) (forall @t120 (and (=> @t681 @t278) (=> @t278 @t681))))))))))) % 0.95/1.14 (assume @p608 (forall @t51 (=> @t110 (not (and (tptp.in @t11 @t674) @t257))))) % 0.95/1.14 (assume @p609 (forall @t6 (=> @t67 (forall @t20 (=> @t123 (forall @t90 (=> @t297 (=> (and @t271 @t296) @t426)))))))) % 0.95/1.14 (assume @p610 (forall @t6 (=> @t152 (=> @t75 (and (= @t279 (tptp.relation_dom @t314)) (= @t147 (tptp.relation_rng @t314))))))) % 0.95/1.14 (assume @p611 (forall @t6 (=> @t410 (forall @t20 (=> (tptp.top_str @t11) (forall @t90 (=> @t167 (forall @t130 (=> (tptp.element @t115 (tptp.powerset @t172)) (and (=> (tptp.open_subset @t115 @t11) (= (tptp.interior @t11 @t115) @t115)) (=> (= @t181 @t45) @t222))))))))))) % 0.95/1.14 (assume @p612 (forall @t6 (=> @t67 (=> (forall @t135 @t429) @t194)))) % 0.95/1.14 (assume @p613 (forall @t15 (=> @t409 (=> (and @t85 (tptp.in @t1 @t189)) (and (= @t1 (tptp.apply @t11 (tptp.apply @t682 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t682 @t11) @t1))))))) % 0.95/1.14 (assume @p614 (forall @t6 (=> @t184 (forall @t20 (=> @t168 (forall @t90 (=> @t100 (=> (and @t283 @t213) (tptp.point_neighbourhood @t11 @t1 @t45))))))))) % 0.95/1.14 (assume @p615 (forall @t51 (not (and @t14 @t678 @t93)))) % 0.95/1.14 (assume @p616 (forall @t15 (=> @t33 (= @t436 (not (= @t11 @t1)))))) % 0.95/1.14 (assume @p617 (forall @t6 (=> @t381 (forall @t20 (=> @t212 (not (and @t251 @t195))))))) % 0.95/1.14 (assume @p618 (forall @t6 (=> @t67 (= @t243 (tptp.is_well_founded_in @t1 @t155))))) % 0.95/1.14 (assume @p619 (forall @t6 (tptp.antisymmetric @t227))) % 0.95/1.14 (assume @p620 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.95/1.14 (assume @p621 (forall @t15 (not (and @t125 @t16)))) % 0.95/1.14 (assume @p622 (forall @t6 (=> @t5 (forall @t20 (=> @t173 (forall @t90 (=> @t100 (forall @t130 (=> @t129 (forall @t148 (=> @t685 (forall @t307 (=> @t684 (=> (and @t185 @t570 @t683) @t302)))))))))))))) % 0.95/1.14 (assume @p623 (forall @t6 (=> @t5 (forall @t20 (=> (and @t176 @t173) (forall @t90 (=> @t100 (forall @t130 (=> @t129 (forall @t148 (=> @t685 (forall @t307 (=> @t684 (=> (and @t185 @t570 @t302 (tptp.in @t138 @t172) (tptp.in @t244 @t172)) @t683)))))))))))))) % 0.95/1.14 (assume @p624 (forall @t6 (=> @t152 (=> @t75 (tptp.one_to_one @t314))))) % 0.95/1.14 (assume @p625 (forall @t51 (=> (and @t125 @t675) (tptp.disjoint @t1 @t45)))) % 0.95/1.14 (assume @p626 (forall @t6 (=> @t67 (=> (or @t687 @t686) @t194)))) % 0.95/1.14 (assume @p627 (forall @t6 (=> @t67 (= @t687 @t686)))) % 0.95/1.14 (assume @p628 (forall @t15 (= (= (tptp.set_difference @t1 @t430) @t1) @t13))) % 0.95/1.14 (assume @p629 (forall @t15 (=> @t409 (forall @t90 (=> @t297 (= (= @t11 @t434) (and (= @t188 (tptp.set_intersection2 @t273 @t1)) (forall @t130 (=> (tptp.in @t115 @t188) (= (tptp.apply @t11 @t115) @t295)))))))))) % 0.95/1.14 (assume @p630 (forall @t6 (= (tptp.unordered_pair @t1 @t1) @t206))) % 0.95/1.14 (assume @p631 (forall @t6 (=> @t30 @t194))) % 0.95/1.14 (assume @p632 (forall @t187 (=> @t656 (=> @t117 (or @t195 (tptp.in @t655 @t634)))))) % 0.95/1.14 (assume @p633 (forall @t6 (=> @t40 (tptp.well_founded_relation @t227)))) % 0.95/1.14 (assume @p634 (forall @t6 (=> @t5 (forall @t20 (=> @t101 (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t11) (tptp.relstr_element_smaller @t1 tptp.empty_set @t11))))))) % 0.95/1.14 (assume @p635 (forall @t15 (=> (tptp.subset @t206 @t430) @t126))) % 0.95/1.14 (assume @p636 (forall @t51 (=> @t297 (=> @t435 @t688)))) % 0.95/1.14 (assume @p637 (forall @t6 (and (= (tptp.relation_dom @t121) @t1) (= (tptp.relation_rng @t121) @t1)))) % 0.95/1.14 (assume @p638 (forall @t51 (=> @t297 (=> @t12 @t688)))) % 0.95/1.14 (assume @p639 (forall @t187 (=> @t505 (= (tptp.in @t285 (tptp.relation_composition (tptp.identity_relation @t45) @t115)) (and @t432 (tptp.in @t285 @t115)))))) % 0.95/1.14 (assume @p640 (forall @t15 (not (and @t14 @t91)))) % 0.95/1.14 (assume @p641 (forall @t6 (=> @t235 (forall @t20 (=> @t101 (forall @t90 (=> @t100 (= @t440 (tptp.related_reflexive @t234 @t253 (tptp.cast_to_el_of_LattPOSet @t1 @t45)))))))))) % 0.95/1.14 (assume @p642 (forall @t15 (and (= (tptp.pair_first @t285) @t1) (= (tptp.pair_second @t285) @t11)))) % 0.95/1.14 (assume @p643 (forall @t15 (not (and @t14 (forall @t90 (not (and @t213 (forall @t130 (not (and @t141 @t149)))))))))) % 0.95/1.14 (assume @p644 (forall @t6 (=> @t40 (tptp.well_ordering @t227)))) % 0.95/1.14 (assume @p645 (forall @t15 (tptp.subset @t1 @t98))) % 0.95/1.14 (assume @p646 (forall @t15 (= @t298 (= @t276 @t1)))) % 0.95/1.14 (assume @p647 (forall @t51 (=> @t69 (= (tptp.in @t1 (tptp.relation_dom @t627)) (and @t14 @t649))))) % 0.95/1.14 (assume @p648 (forall @t15 (=> @t123 (tptp.subset @t641 @t11)))) % 0.95/1.14 (assume @p649 (forall @t15 (not (and @t30 @t313 @t91)))) % 0.95/1.14 (assume @p650 (forall @t51 (=> @t297 (= @t650 (and @t649 (= @t11 @t652)))))) % 0.95/1.14 (assume @p651 (forall @t6 (=> @t67 (= (tptp.well_orders @t1 @t155) @t271)))) % 0.95/1.14 (assume @p652 (forall @t51 (=> (and @t125 @t249) (tptp.subset (tptp.set_union2 @t1 @t45) @t11)))) % 0.95/1.14 (assume @p653 (forall @t51 (=> @t689 @t126))) % 0.95/1.14 (assume @p654 (forall @t15 (=> @t123 (= (tptp.relation_dom @t641) @t631)))) % 0.95/1.14 (assume @p655 (forall @t6 (=> @t381 (forall @t20 (=> @t101 (= (tptp.apply_as_element @t3 @t3 @t136 @t11) @t11)))))) % 0.95/1.14 (assume @p656 (forall @t15 (=> @t123 (= @t641 (tptp.relation_composition @t121 @t11))))) % 0.95/1.14 (assume @p657 (forall @t15 (=> @t123 (tptp.subset (tptp.relation_rng @t641) @t189)))) % 0.95/1.14 (assume @p658 (forall @t6 (= (tptp.union @t32) @t1))) % 0.95/1.14 (assume @p659 (forall @t187 (=> @t656 (=> @t501 (or (and @t195 @t218) (and @t341 (tptp.quasi_total @t115 @t1 @t45) (tptp.relation_of2_as_subset @t115 @t1 @t45))))))) % 0.95/1.14 (assume @p660 (forall @t6 (exists @t20 (and @t14 @t625 (forall @t90 (not (and @t213 (forall @t130 (not (and @t141 (forall @t148 (=> (tptp.subset @t138 @t45) @t186)))))))) @t624)))) % 0.95/1.14 (assume @p661 (forall @t51 (=> @t689 @t203))) % 0.95/1.14 (step @p662 :rule aci_norm :args ((= (or @t706 @t699) @t705))) % 0.95/1.14 (step @p663 :rule refl :args (@t699)) % 0.95/1.14 (step @p664 :rule refl :args (@t700)) % 0.95/1.14 (step @p665 :rule refl :args (@t701)) % 0.95/1.14 (step @p666 :rule refl :args (@t702)) % 0.95/1.14 (step @p667 :rule refl :args (@t703)) % 0.95/1.14 (step @p668 :rule refl :args (@t704)) % 0.95/1.14 (step @p669 :rule bool-double-not-elim :args (@t58)) % 0.95/1.14 (step @p670 :rule nary_cong :premises (@p669 @p668 @p667 @p666 @p665 @p664) :args (@t708)) % 0.95/1.14 (step @p671 :rule aci_norm :args ((= (or @t707 (or @t704 (or @t703 (or @t702 (or @t701 @t700))))) @t708))) % 0.95/1.14 (step @p672 :rule trans :premises (@p671 @p670)) % 0.95/1.14 (step @p673 :rule bool-and-de-morgan :args (@t248 @t555 true)) % 0.95/1.14 (step @p674 :rule nary_cong :premises (@p666 @p673) :args ((or @t702 (not (and @t248 @t555))))) % 0.95/1.14 (step @p675 :rule bool-and-de-morgan :args (@t168 @t248 (and @t555))) % 0.95/1.14 (step @p676 :rule trans :premises (@p675 @p674)) % 0.95/1.14 (step @p677 :rule nary_cong :premises (@p667 @p676) :args ((or @t703 (not (and @t168 @t248 @t555))))) % 0.95/1.14 (step @p678 :rule bool-and-de-morgan :args (@t5 @t168 (and @t248 @t555))) % 0.95/1.14 (step @p679 :rule trans :premises (@p678 @p677)) % 0.95/1.14 (step @p680 :rule nary_cong :premises (@p668 @p679) :args ((or @t704 (not (and @t5 @t168 @t248 @t555))))) % 0.95/1.14 (step @p681 :rule bool-and-de-morgan :args (@t281 @t5 (and @t168 @t248 @t555))) % 0.95/1.14 (step @p682 :rule trans :premises (@p681 @p680)) % 0.95/1.14 (step @p683 :rule refl :args (@t707)) % 0.95/1.14 (step @p684 :rule nary_cong :premises (@p683 @p682) :args ((or @t707 (not (and @t281 @t5 @t168 @t248 @t555))))) % 0.95/1.14 (step @p685 :rule bool-and-de-morgan :args (@t59 @t281 (and @t5 @t168 @t248 @t555))) % 0.95/1.14 (step @p686 :rule trans :premises (@p685 @p684)) % 0.95/1.14 (step @p687 :rule trans :premises (@p686 @p672)) % 0.95/1.14 (step @p688 :rule nary_cong :premises (@p687 @p663) :args ((or @t709 @t699))) % 0.95/1.14 (step @p689 :rule trans :premises (@p688 @p662)) % 0.95/1.14 (step @p690 :rule bool-impl-elim :args (@t556 @t699)) % 0.95/1.14 (step @p691 :rule trans :premises (@p690 @p689)) % 0.95/1.14 (step @p692 :rule cong :premises (@p691) :args ((forall @t51 (=> @t556 @t699)))) % 0.95/1.14 (step @p693 :rule bool-impl-true2 :args (@t699)) % 0.95/1.14 (step @p694 :rule exists-elim :args ((= (exists @t130 @t698) @t699))) % 0.95/1.14 (step @p695 :rule bool-double-not-elim :args (@t601)) % 0.95/1.14 (step @p696 :rule refl :args (@t697)) % 0.95/1.14 (step @p697 :rule nary_cong :premises (@p696 @p695) :args ((and @t697 (not @t710)))) % 0.95/1.14 (step @p698 :rule bool-or-de-morgan :args (@t696 @t710 false)) % 0.95/1.14 (step @p699 :rule trans :premises (@p698 @p697)) % 0.95/1.14 (step @p700 :rule refl :args (@t186)) % 0.95/1.14 (step @p701 :rule cong :premises (@p700 @p699) :args (@t711)) % 0.95/1.14 (step @p702 :rule cong :premises (@p701) :args ((forall @t148 @t711))) % 0.95/1.14 (step @p703 :rule aci_norm :args ((= (or @t710 false) @t710))) % 0.95/1.14 (step @p704 :rule evaluate :args ((not true))) % 0.95/1.14 (step @p705 :rule eq-refl :args (@t138)) % 0.95/1.14 (step @p706 :rule cong :premises (@p705) :args (@t712)) % 0.95/1.14 (step @p707 :rule trans :premises (@p706 @p704)) % 0.95/1.14 (step @p708 :rule refl :args (@t710)) % 0.95/1.14 (step @p709 :rule nary_cong :premises (@p708 @p707) :args (@t713)) % 0.95/1.14 (step @p710 :rule trans :premises (@p709 @p703)) % 0.95/1.14 (step @p711 :rule quant-var-elim-eq :args ((= (forall @t307 (or @t716 @t715 @t714)) @t713))) % 0.95/1.14 (step @p712 :rule refl :args (@t714)) % 0.95/1.14 (step @p713 :rule refl :args (@t715)) % 0.95/1.14 (step @p714 :rule eq-symm :args (@t138 @t244)) % 0.95/1.14 (step @p715 :rule cong :premises (@p714) :args (@t714)) % 0.95/1.14 (step @p716 :rule nary_cong :premises (@p715 @p713 @p712) :args (@t717)) % 0.95/1.14 (step @p717 :rule aci_norm :args ((= @t718 @t717))) % 0.95/1.14 (step @p718 :rule trans :premises (@p717 @p716)) % 0.95/1.14 (step @p719 :rule cong :premises (@p718) :args (@t719)) % 0.95/1.14 (step @p720 :rule trans :premises (@p719 @p711)) % 0.95/1.14 (step @p721 :rule trans :premises (@p720 @p710)) % 0.95/1.14 (step @p722 :rule refl :args (@t696)) % 0.95/1.14 (step @p723 :rule nary_cong :premises (@p722 @p721) :args (@t720)) % 0.95/1.14 (step @p724 :rule quant-miniscope-or :args ((= (forall @t307 @t721) @t720))) % 0.95/1.14 (step @p725 :rule aci_norm :args ((= @t722 @t721))) % 0.95/1.14 (step @p726 :rule cong :premises (@p725) :args ((forall @t307 @t722))) % 0.95/1.14 (step @p727 :rule trans :premises (@p726 @p724)) % 0.95/1.14 (step @p728 :rule trans :premises (@p727 @p723)) % 0.95/1.14 (step @p729 :rule bool-double-not-elim :args (@t696)) % 0.95/1.14 (step @p730 :rule nary_cong :premises (@p713 @p712 @p729) :args (@t724)) % 0.95/1.14 (step @p731 :rule aci_norm :args ((= (or @t715 (or @t714 @t723)) @t724))) % 0.95/1.14 (step @p732 :rule trans 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0.95/1.14 (step @p948 :rule nary_cong :premises (@p707 @p947 @p946 @p945) :args (@t833)) % 0.95/1.14 (step @p949 :rule trans :premises (@p948 @p944)) % 0.95/1.14 (step @p950 :rule cong :premises (@p949) :args ((forall @t796 @t833))) % 0.95/1.14 (step @p951 :rule quant-var-elim-eq :args ((= (forall @t457 (or (not @t548) @t835 @t794 @t793 @t834)) @t833))) % 0.95/1.14 (step @p952 :rule refl :args (@t834)) % 0.95/1.14 (step @p953 :rule refl :args (@t793)) % 0.95/1.14 (step @p954 :rule refl :args (@t794)) % 0.95/1.14 (step @p955 :rule refl :args (@t835)) % 0.95/1.14 (step @p956 :rule eq-symm :args (@t138 @t455)) % 0.95/1.14 (step @p957 :rule cong :premises (@p956) :args (@t835)) % 0.95/1.14 (step @p958 :rule nary_cong :premises (@p957 @p955 @p954 @p953 @p952) :args (@t836)) % 0.95/1.14 (step @p959 :rule aci_norm :args ((= @t837 @t836))) % 0.95/1.14 (step @p960 :rule trans :premises (@p959 @p958)) % 0.95/1.14 (step @p961 :rule cong :premises (@p960) :args (@t838)) % 0.95/1.14 (step @p962 :rule trans :premises (@p961 @p951)) % 0.95/1.14 (step @p963 :rule cong :premises (@p962) :args (@t839)) % 0.95/1.14 (step @p964 :rule quant-merge-prenex :args ((= @t839 @t840))) % 0.95/1.14 (step @p965 :rule symm :premises (@p964)) % 0.95/1.14 (step @p966 :rule quant_var_reordering :args ((= (forall @t841 @t837) @t840))) % 0.95/1.14 (step @p967 :rule trans :premises (@p966 @p965 @p963)) % 0.95/1.14 (step @p968 :rule trans :premises (@p967 @p950)) % 0.95/1.14 (step @p969 :rule aci_norm :args ((= @t843 @t837))) % 0.95/1.14 (step @p970 :rule cong :premises (@p969) :args (@t844)) % 0.95/1.14 (step @p971 :rule trans :premises (@p970 @p968)) % 0.95/1.14 (step @p972 :rule quant-merge-prenex :args ((= (forall @t457 @t845) @t844))) % 0.95/1.14 (step @p973 :rule alpha_equiv :args (@t846 @t784 (@list @t450))) % 0.95/1.14 (step @p974 :rule nary_cong :premises (@p955 @p973) :args (@t847)) % 0.95/1.14 (step @p975 :rule quant-miniscope-or :args ((= @t845 @t847))) % 0.95/1.14 (step @p976 :rule trans :premises (@p975 @p974)) % 0.95/1.14 (step @p977 :rule symm :premises (@p976)) % 0.95/1.14 (step @p978 :rule cong :premises (@p977) :args ((forall @t457 (or @t835 @t852)))) % 0.95/1.14 (step @p979 :rule trans :premises (@p978 @p972)) % 0.95/1.14 (step @p980 :rule trans :premises (@p979 @p971)) % 0.95/1.14 (step @p981 :rule bool-double-not-elim :args (@t852)) % 0.95/1.14 (step @p982 :rule nary_cong :premises (@p955 @p981) :args ((or @t835 (not @t853)))) % 0.95/1.14 (step @p983 :rule bool-and-de-morgan :args (@t593 @t853 true)) % 0.95/1.14 (step @p984 :rule trans :premises (@p983 @p982)) % 0.95/1.14 (step @p985 :rule cong :premises (@p984) :args (@t855)) % 0.95/1.14 (step @p986 :rule trans :premises (@p985 @p980)) % 0.95/1.14 (step @p987 :rule cong :premises (@p986) :args (@t856)) % 0.95/1.14 (step @p988 :rule exists-elim :args ((= (exists @t457 @t854) @t856))) % 0.95/1.14 (step @p989 :rule trans :premises (@p988 @p987)) % 0.95/1.14 (step @p990 :rule aci_norm :args ((= (or @t850 (or @t849 @t848)) @t851))) % 0.95/1.14 (step @p991 :rule bool-and-de-morgan :args (@t544 @t543 true)) % 0.95/1.14 (step @p992 :rule refl :args (@t850)) % 0.95/1.14 (step @p993 :rule nary_cong :premises (@p992 @p991) :args ((or @t850 (not (and @t544 @t543))))) % 0.95/1.14 (step @p994 :rule bool-and-de-morgan :args (@t545 @t544 (and @t543))) % 0.95/1.14 (step @p995 :rule trans :premises (@p994 @p993)) % 0.95/1.14 (step @p996 :rule trans :premises (@p995 @p990)) % 0.95/1.14 (step @p997 :rule cong :premises (@p996) :args (@t857)) % 0.95/1.14 (step @p998 :rule cong :premises (@p997) :args (@t858)) % 0.95/1.14 (step @p999 :rule exists-elim :args ((= @t547 @t858))) % 0.95/1.14 (step @p1000 :rule trans :premises (@p999 @p998)) % 0.95/1.14 (step @p1001 :rule eq-symm :args (@t455 @t138)) % 0.95/1.14 (step @p1002 :rule nary_cong :premises (@p1001 @p1000) :args (@t549)) % 0.95/1.14 (step @p1003 :rule cong :premises (@p1002) :args (@t550)) % 0.95/1.14 (step @p1004 :rule trans :premises (@p1003 @p989)) % 0.95/1.14 (step @p1005 :rule refl :args (@t448)) % 0.95/1.14 (step @p1006 :rule nary_cong :premises (@p1005 @p1004 @p943 @p942) :args (@t551)) % 0.95/1.14 (step @p1007 :rule cong :premises (@p1006 @p826) :args (@t552)) % 0.95/1.14 (step @p1008 :rule cong :premises (@p1007) :args (@t553)) % 0.95/1.14 (step @p1009 :rule trans :premises (@p1008 @p878)) % 0.95/1.14 (step @p1010 :rule cong :premises (@p1009 @p814) :args (@t554)) % 0.95/1.14 (step @p1011 :rule trans :premises (@p1010 @p693)) % 0.95/1.14 (step @p1012 :rule refl :args (@t556)) % 0.95/1.14 (step @p1013 :rule cong :premises (@p1012 @p1011) :args (@t557)) % 0.95/1.14 (step @p1014 :rule cong :premises (@p1013) :args (@t558)) % 0.95/1.14 (step @p1015 :rule trans :premises (@p1014 @p692)) % 0.95/1.14 (step @p1016 :rule eq_resolve :premises (@p419 @p1015)) % 0.95/1.14 (step @p1017 :rule aci_norm :args ((= @t867 @t866))) % 0.95/1.14 (step @p1018 :rule cong :premises (@p700 @p1017) :args (@t868)) % 0.95/1.14 (step @p1019 :rule cong :premises (@p1018) :args (@t869)) % 0.95/1.14 (step @p1020 :rule cong :premises (@p1019) :args (@t870)) % 0.95/1.14 (step @p1021 :rule cong :premises (@p1020) :args (@t871)) % 0.95/1.14 (step @p1022 :rule cong :premises (@p1021) :args (@t872)) % 0.95/1.14 (step @p1023 :rule refl :args (@t58)) % 0.95/1.14 (step @p1024 :rule nary_cong :premises (@p1023 @p668 @p667 @p666 @p665 @p664 @p1022) :args (@t873)) % 0.95/1.14 (step @p1025 :rule cong :premises (@p1024) :args (@t874)) % 0.95/1.14 (step @p1026 :rule symm :premises (@p1025)) % 0.95/1.14 (step @p1027 :rule true_intro :premises (@p1026)) % 0.95/1.14 (step @p1028 :rule eq-symm :args (@t874 @t875)) % 0.95/1.14 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 0.95/1.14 (step @p1030 :rule cong :premises (@p1026 @p1025) :args ((= @t875 @t874))) % 0.95/1.14 (step @p1031 :rule trans :premises (@p1030 @p1029)) % 0.95/1.14 (step @p1032 :rule true_elim :premises (@p1031)) % 0.95/1.14 (step @p1033 :rule alpha_equiv :args ((forall (@list @t879 @t880 @t876) (or (tptp.empty_carrier @t879) (not (tptp.transitive_relstr @t879)) (not (tptp.rel_str @t879)) (not (tptp.element @t880 (tptp.powerset @t881))) (not (tptp.finite @t876)) (not (tptp.element @t876 (tptp.powerset @t880))) (not (forall (@list @t882) (not (forall (@list @t877) (= (tptp.in @t877 @t882) (and (not (forall (@list @t878) (or (not (tptp.element @t878 @t881)) (not (tptp.in @t878 @t880)) (not (tptp.relstr_set_smaller @t879 @t877 @t878))))) (tptp.in @t877 (tptp.powerset @t876)))))))))) @t883 (@list @t1 @t11 @t45 @t115 @t138 @t859))) % 0.95/1.14 (step @p1034 :rule alpha_equiv :args (@t884 (@list @t1 @t11 @t45 @t115 @t138 @t690) @t883)) % 0.95/1.14 (step @p1035 :rule trans :premises (@p1034 @p1033 @p1032)) % 0.95/1.14 (step @p1036 :rule equiv_elim1 :premises (@p1035)) % 0.95/1.14 (step @p1037 :rule reordering :premises (@p1036) :args ((or @t874 (not @t884)))) % 0.95/1.14 (step @p1038 :rule chain_m_resolution :premises (@p1037 @p1016) :args (@t874 @t885 (@list @t884))) % 0.95/1.14 (step @p1039 :rule aci_norm :args ((= (or @t706 @t872) @t873))) % 0.95/1.14 (step @p1040 :rule refl :args (@t872)) % 0.95/1.14 (step @p1041 :rule nary_cong :premises (@p687 @p1040) :args ((or @t709 @t872))) % 0.95/1.14 (step @p1042 :rule trans :premises (@p1041 @p1039)) % 0.95/1.14 (step @p1043 :rule bool-impl-elim :args (@t556 @t872)) % 0.95/1.14 (step @p1044 :rule trans :premises (@p1043 @p1042)) % 0.95/1.14 (step @p1045 :rule cong :premises (@p1044) :args ((forall @t51 (=> @t556 @t872)))) % 0.95/1.14 (step @p1046 :rule exists-elim :args ((= (exists @t130 @t869) @t872))) % 0.95/1.14 (step @p1047 :rule aci_norm :args ((= (or false @t862 @t861 @t860) @t863))) % 0.95/1.14 (step @p1048 :rule refl :args (@t860)) % 0.95/1.14 (step @p1049 :rule refl :args (@t861)) % 0.95/1.14 (step @p1050 :rule refl :args (@t862)) % 0.95/1.14 (step @p1051 :rule nary_cong :premises (@p707 @p1050 @p1049 @p1048) :args (@t886)) % 0.95/1.14 (step @p1052 :rule trans :premises (@p1051 @p1047)) % 0.95/1.14 (step @p1053 :rule cong :premises (@p1052) :args ((forall @t864 @t886))) % 0.95/1.14 (step @p1054 :rule quant-var-elim-eq :args ((= (forall @t307 (or @t716 @t714 @t862 @t861 @t887)) @t886))) % 0.95/1.14 (step @p1055 :rule refl :args (@t887)) % 0.95/1.14 (step @p1056 :rule refl :args (@t861)) % 0.95/1.14 (step @p1057 :rule refl :args (@t862)) % 0.95/1.14 (step @p1058 :rule nary_cong :premises (@p715 @p712 @p1057 @p1056 @p1055) :args (@t888)) % 0.95/1.14 (step @p1059 :rule aci_norm :args ((= @t889 @t888))) % 0.95/1.14 (step @p1060 :rule trans :premises (@p1059 @p1058)) % 0.95/1.14 (step @p1061 :rule cong :premises (@p1060) :args (@t890)) % 0.95/1.14 (step @p1062 :rule trans :premises (@p1061 @p1054)) % 0.95/1.14 (step @p1063 :rule cong :premises (@p1062) :args (@t891)) % 0.95/1.14 (step @p1064 :rule quant-merge-prenex :args ((= @t891 @t892))) % 0.95/1.14 (step @p1065 :rule symm :premises (@p1064)) % 0.95/1.14 (step @p1066 :rule quant_var_reordering :args ((= (forall @t893 @t889) @t892))) % 0.95/1.14 (step @p1067 :rule trans :premises (@p1066 @p1065 @p1063)) % 0.95/1.14 (step @p1068 :rule trans :premises (@p1067 @p1053)) % 0.95/1.14 (step @p1069 :rule aci_norm :args ((= @t895 @t889))) % 0.95/1.14 (step @p1070 :rule cong :premises (@p1069) :args (@t896)) % 0.95/1.14 (step @p1071 :rule trans :premises (@p1070 @p1068)) % 0.95/1.14 (step @p1072 :rule quant-merge-prenex :args ((= (forall @t307 @t897) @t896))) % 0.95/1.14 (step @p1073 :rule alpha_equiv :args (@t898 (@list @t859) (@list @t455))) % 0.95/1.14 (step @p1074 :rule nary_cong :premises (@p712 @p1073) :args (@t899)) % 0.95/1.14 (step @p1075 :rule quant-miniscope-or :args ((= @t897 @t899))) % 0.95/1.14 (step @p1076 :rule trans :premises (@p1075 @p1074)) % 0.95/1.14 (step @p1077 :rule symm :premises (@p1076)) % 0.95/1.14 (step @p1078 :rule cong :premises (@p1077) :args ((forall @t307 (or @t714 @t904)))) % 0.95/1.14 (step @p1079 :rule trans :premises (@p1078 @p1072)) % 0.95/1.14 (step @p1080 :rule trans :premises (@p1079 @p1071)) % 0.95/1.14 (step @p1081 :rule bool-double-not-elim :args (@t904)) % 0.95/1.14 (step @p1082 :rule nary_cong :premises (@p712 @p1081) :args ((or @t714 (not @t905)))) % 0.95/1.14 (step @p1083 :rule bool-and-de-morgan :args (@t511 @t905 true)) % 0.95/1.14 (step @p1084 :rule trans :premises (@p1083 @p1082)) % 0.95/1.14 (step @p1085 :rule cong :premises (@p1084) :args (@t907)) % 0.95/1.14 (step @p1086 :rule trans :premises (@p1085 @p1080)) % 0.95/1.14 (step @p1087 :rule cong :premises (@p1086) :args (@t908)) % 0.95/1.14 (step @p1088 :rule exists-elim :args ((= (exists @t307 @t906) @t908))) % 0.95/1.14 (step @p1089 :rule trans :premises (@p1088 @p1087)) % 0.95/1.14 (step @p1090 :rule aci_norm :args ((= (or @t902 (or @t901 @t900)) @t903))) % 0.95/1.14 (step @p1091 :rule bool-and-de-morgan :args (@t573 @t595 true)) % 0.95/1.14 (step @p1092 :rule refl :args (@t902)) % 0.95/1.14 (step @p1093 :rule nary_cong :premises (@p1092 @p1091) :args ((or @t902 (not (and @t573 @t595))))) % 0.95/1.14 (step @p1094 :rule bool-and-de-morgan :args (@t596 @t573 (and @t595))) % 0.95/1.14 (step @p1095 :rule trans :premises (@p1094 @p1093)) % 0.95/1.14 (step @p1096 :rule trans :premises (@p1095 @p1090)) % 0.95/1.14 (step @p1097 :rule cong :premises (@p1096) :args (@t909)) % 0.95/1.14 (step @p1098 :rule cong :premises (@p1097) :args (@t910)) % 0.95/1.14 (step @p1099 :rule exists-elim :args ((= @t598 @t910))) % 0.95/1.14 (step @p1100 :rule trans :premises (@p1099 @p1098)) % 0.95/1.14 (step @p1101 :rule nary_cong :premises (@p804 @p1100) :args (@t599)) % 0.95/1.14 (step @p1102 :rule cong :premises (@p1101) :args (@t600)) % 0.95/1.14 (step @p1103 :rule trans :premises (@p1102 @p1089)) % 0.95/1.14 (step @p1104 :rule refl :args (@t601)) % 0.95/1.14 (step @p1105 :rule nary_cong :premises (@p1104 @p1103) :args (@t602)) % 0.95/1.14 (step @p1106 :rule cong :premises (@p809 @p1105) :args (@t603)) % 0.95/1.14 (step @p1107 :rule cong :premises (@p1106) :args (@t604)) % 0.95/1.14 (step @p1108 :rule cong :premises (@p1107) :args (@t605)) % 0.95/1.14 (step @p1109 :rule trans :premises (@p1108 @p1046)) % 0.95/1.14 (step @p1110 :rule cong :premises (@p1012 @p1109) :args (@t606)) % 0.95/1.14 (step @p1111 :rule cong :premises (@p1110) :args (@t607)) % 0.95/1.14 (step @p1112 :rule trans :premises (@p1111 @p1045)) % 0.95/1.14 (step @p1113 :rule cong :premises (@p1112) :args (@t608)) % 0.95/1.14 (step @p1114 :rule eq_resolve :premises (@p435 @p1113)) % 0.95/1.14 (step @p1115 false :rule chain_m_resolution :premises (@p1114 @p1038) :args (false @t885 (@list @t874))) % 0.95/1.14 ) % 0.95/1.14 % SZS output end Proof % 0.95/1.14 % cvc5 exiting %------------------------------------------------------------------------------